I NEED THE ANSWER ASAP
I WILL MAKE THE FIRST PERSON TO ANSWER MY QUESTION BRAINLY!
ALSO YOU WILL GET 100 POINTS
Answers
Sorry for bad handwriting
if i was helpful Brainliests my answer ^_^
Answer:
3) 50 in²
4) 85 cm²
Step-by-step explanation:
Question 3The given figure is composed of 2 triangles, each with a base of 10 inches and a height of 5 inches.
The area of a triangle is half the product of its base and height.
Therefore, the area of the composite figure can be calculated as follows:
[tex]\begin{aligned}\textsf{Area of compositie figure}&=\sf Area_{Triangle\;1}+Area_{Triangle\;2}\\\\&=\dfrac{1}{2} \cdot 10 \cdot 5 + \dfrac{1}{2} \cdot 10 \cdot 5\\\\&=5\cdot 5+5\cdot 5\\\\&=25+25\\\\&=50\; \sf square\;inches\end{aligned}[/tex]
Therefore, the area of the composite figure is 50 square inches.
[tex]\hrulefill[/tex]
Question 4The given figure is composed of a rectangle with width of 6 cm and length of 10 cm, and a triangle with base of 10 cm and height of 5 cm.
The area of a rectangle is the product of its width and length.
The area of a triangle is half the product of its base and height.
Therefore, the area of the composite figure can be calculated as follows:
[tex]\begin{aligned}\textsf{Area of compositie figure}&=\sf Area_{Rectangle} + Area_{Triangle}\\\\&=6 \cdot 10+\dfrac{1}{2} \cdot 10 \cdot 5\\\\&=60+5 \cdot 5\\\\&=60+25\\\\&=85\; \sf square\;centimeters\end{aligned}[/tex]
Therefore, the area of the composite figure is 85 square centimeters.
Related Questions
A restaurant at the food court in a mall is offering a lunch special. The table shows the relationship between the number of side dishes and the total cost of the special.
Restaurant
Number of Side Dishes Total Cost
2 $10.25
4 $13.25
5 $14.75
8 $19.25
Which of the following graphs shows the relationship given in the table?
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 7 and 25 hundredths through the point 3 comma 11 and 75 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 7 and 75 hundredths through the point 3 comma 12 and 25 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 5 and 25 hundredths through the point 3 comma 9 and 75 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 5 and 5 tenths through the point 5 comma 13
pls use pic for the answer
Answers
Graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 5 and 5 tenths through the point 5 comma 13
The x-axis of the graph is labeled "number of side dishes," which represents the independent variable in this case.
The y-axis is labeled "cost in dollars," representing the dependent variable.
The line on the graph starts at the point (2, $10.25), indicating that when there are 2 side dishes, the total cost of the lunch special is $10.25.
The line then passes through the point (8, $19.25), which signifies that when there are 8 side dishes, the total cost of the lunch special is $19.25.
This graph correctly illustrates the relationship between the number of side dishes and the total cost, showing that as the number of side dishes increases, the cost of the lunch special also increases.
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Which equation represents a quadratic function with a leading coefficient of 2 and a constant term of -3?
A - f(x)=2x^3-3
B - f(x)=3x^2-3x+2
C - f(x)=-3x^3+2
D - f(x)=2x^2+3x-3
Answers
Answer:
B - f(x)=3x^2-3x+2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Degree of the quadratic function is 2.The leading co-efficient is the co-efficient of the term with highest degree (that is 2).
f(x) = 2x² + 3x - 3
This function satisfies the given condition.
The leading term is 2x² and its co-efficient is 2 and the constant term is (-3)
Brian says the graph shows the circle with a center (-3, 2) and a radius of 2. Mia says the graph shows all possible centers for a circle that passes through (-3, -2) with a radius of 2. Which student is correct? Explain.
Answers
Brian is correct, because the graph shows the circle with a center (-3, 2) and a radius of 2.
Since, The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
Brian says the graph shows the circle with a center (-3, 2) and a radius of 2.
And, Mia says the graph shows all possible centers for a circle that passes through (-3, -2) with a radius of 2.
Now, By given graph we can see that,
Center of circle = (- 3, 2)
And, Radius of circle = - 1 + 3 = 2
Hence, Brian is correct, because the graph shows the circle with a center (-3, 2) and a radius of 2.
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The top of a tree makes angles s and t with Points K and L on the ground, respectively, such that the angles are complementary. Point K is x meters and Point L is y meters from the base of the tree.
a. In terms of x and y, find the height of the tree. Include your work.
b. If s = 38° and y = 3 meters, calculate the height of the tree, rounded to two decimal places.
Answers
1. In terms of x and y, the height of the tree is and
2. The height of the tree is 6.71 meters
Since, From the question, we are to determine the height of the tree in terms of x and y
Hence, By Using SOH CAH TOA, we can write that
tan t° = h / y
h = y × tan t°
Also, We get;
tan s° = h / x
h = x × tan s°
2. If m ∠t = 38° and y = 3 meters,
Then, the height of the tree;
h = 3 × tan 38°
h = 3 × 0.78 meters
h = 2.34 meters
Hence, the height of the tree is 2.34 meters.
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Alg 2 unit 5-5 math questions with g and f
Answers
The composition fog is ((3,2), (1,0), (2,7)).
To find the composition fog, we need to apply function g first, and then apply function f to the result.
Let's start by applying function g:
g((-4,1)) = (-2,1)
g((0,4)) = (3,1)
g((1,0)) = (2,8)
Now, let's apply function f to the results:
f((-2,1)) = (3,2)
f((3,1)) = (1,0)
f((2,8)) = (2,7)
Therefore, the composition fog is:
fog = ((-4,1), (0,4), (1,0)) → g → f
= ((3,2), (1,0), (2,7))
So, fog = ((3,2), (1,0), (2,7)).
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y = log₂ X
Compression of ½, down 5 and left 7
Write the equation with the given parent and the given transformation.
Answers
Answer:
y = (1/2)log₂ (x - 7) - 5
the table shows how much Eric earns for pruning trees, write an equation that relates x, the number of trees Eric prunes to y the amount he earns. solve your equation to find how much Eric earns if he prunes 7
trees pruned 2 4 6 8
pay in dollars 30 60 90 80
Answers
If Eric prunes 7 trees, he would earn $85.
To write an equation that relates the number of trees pruned (x) to the amount Eric earns (y), we can use the given data points to determine the pattern or relationship.
From the table, we observe that Eric's pay increases as the number of trees pruned increases, except for the case where he prunes 8 trees.
Based on the data, we can construct a piecewise equation:
For x = 2, 4, and 6:
y = 30 * x
For x = 8:
y = 80
However, we need to consider the case when x = 7. Since this data point is missing from the table, we can assume that the pay is proportional to the number of trees pruned. Therefore, we can interpolate using the given data points for x = 6 and x = 8:
Using the formula for linear interpolation:
y = y1 + (y2 - y1) * ((x - x1) / (x2 - x1))
Substituting the values, we have:
y = 90 + (80 - 90) * ((7 - 6) / (8 - 6))
y = 90 + (-10) * (1 / 2)
y = 90 - 5
y = 85
Thus, if Eric prunes 7 trees, he would earn $85.
It's important to note that the equation and solution are based on the given data points and the assumption of a linear relationship.
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3(x + 4) pleeeeeeeeeeeeaaaase
Answers
Answer:
3x + 12
Step-by-step explanation:
Using the distributive property, multiply 3 by x and get 3x. Then multiply 3 by 4 and get 12. Put it together and get 3x + 12
This is how you do the math
3•x=3x
3•4=12
The points S(-4,-2), T(-4, 5), and
U(-9, -2) form a triangle. Plot the points
then click the "Graph Triangle" button. Then find the perimeter of the triangle.
Round your answer to the nearest tenth if necessary.
Answers
The perimeter of the triangle STU is 20.6 units
What is the perimeter of the triangle?To find the perimeter of triangle STU, we need to use the formula of distance between two points and then take the sum of all the sides.
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\[/tex]
For line ST;
(-4, -2) and (-4, 5)
[tex]d = \sqrt{(-4 - (-4))^2 + (5 - (-2))^2} \\d = 7[/tex]
For line TU;
(-4, 5) and (-9, -2)
[tex]d = \sqrt{(-9 - (-4))^2 - (-2 - 5)^2} \\d = \sqrt{74} \\d = 8.6[/tex]
For line US;
(-9, -2) and (-4, -2)
[tex]d = \sqrt{(-9 - (-4))^2 + (-2 - (-2))^2}\\d = 5[/tex]
The distance between the sides are 7, 8.6 and 5 units.
The perimeter of the triangle = 7 + 8.6 + 5 = 20.6 units
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What the meaning of statement this?
Answers
Axiom of Infinity states that there is at least one set that contains an infinite number of elements.
A basic tenet of set theory, the Axiom of Infinity affirms the existence of an endless set. In plainer language, it proves that at least one set has elements with an infinite number.
This axiom is crucial because it enables rigorous and consistent mathematical reasoning about and interaction with infinite collections. It offers a fundamental premise for many infinity-related mathematical notions and structures, including infinite sequences, series, and cardinality.
The Axiom of Infinity ensures that mathematics is not restricted to only finite quantities and allows for the exploration of the rich and intriguing realm of infinite structures by declaring the existence of an endless set.
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Which two functions can be used to solve for x?
Answers
The expression that should be used is tan 67° = 210/x, tan 23° = x/210.
Given is a figure, we need to find the value of x,
So, the figure is creating a right triangle, the angle of elevation is equal to the angle of depression,
So, the two acute angles in the triangle will be 23° and 67°.
Also, the tangent of an angle is equal to the ratio of the perpendicular side to the base,
Taking 67° as reference angle, we get,
Tan 67° = x / 210
Taking 23° as reference angle, we get,
Tan 23° = 210/x
Hence the expression that should be used is tan 67° = 210/x, tan 23° = x/210.
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Find the value of x.
12, x, 17, 15, 10; The mean is 12.6.
Answers
Answer:x=9
Step-by-step explanation: 12.6x5 then subtract everything else.
The PTA is holding a raffle. The prize is a camera worth $200. Each raffle ticket costs $5. One hundred tickets are sold and a winner is drawn at random. Find the expected value of the purchase of a ticket.
Answers
The expected value of the purchase of a ticket is -$2.95.
To find the expected value of the purchase of a ticket, we need to consider the probability of winning and the amount of money gained or lost.
Given:
The cost of a raffle ticket is $5.
The prize is a camera worth $200.
One hundred tickets are sold.
To calculate the expected value, we multiply the probability of winning by the value gained and subtract the probability of not winning by the cost of the ticket.
Probability of winning:
Since there are 100 tickets sold and only one winner, the probability of winning is 1/100, or 0.01.
Value gained:
If the ticket is a winning ticket, the value gained is $200.
Probability of not winning:
The probability of not winning is 99/100, or 0.99, as there is only one winner out of 100 tickets.
Cost of the ticket:
The cost of a ticket is $5.
Now, let's calculate the expected value:
Expected value = (Probability of winning × Value gained) - (Probability of not winning × Cost of ticket)
= (0.01 × $200) - (0.99 × $5)
= $2 - $4.95
= -$2.95
The expected value of the purchase of a ticket is -$2.95.
This means that, on average, for each raffle ticket purchased, a person can expect to lose approximately $2.95.
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The table shows three unique, discrete functions.
x f(x) g(x) h(x)
-1
0
3
185
15
2
3
0
-25
-10-204
2
3
2
-3
2
3
4
5
6
Which statements can be used to compare the
characteristics of the functions? Select three options.
Of(x) has the greatest maximum.
h(x) has the greatest x-intercept.
g(x) has the smallest minimum value.
All three functions share the same domain.
All three functions share the same y-intercept.
Answers
All thre functions share the same y intercept
We can analyze the characteristics of the given functions based on the information provided in the table.
We cannot determine which function has the greatest maximum based on the table alone, as we do not have the complete graph of any of the functions.
We can see from the table that h(x) has an x-intercept of 0, which is the smallest among the three functions. Therefore, we can say that h(x) has the smallest x-intercept.
We can see from the table that g(x) has a minimum value of -204, which is the smallest among the three functions. Therefore, we can say that g(x) has the smallest minimum value.
We cannot determine if all three functions share the same domain based on the table alone. We can only see that all three functions have been evaluated at the same set of input values.
We can see from the table that the y-intercept of f(x) is 2, the y-intercept of g(x) is 3, and the y-intercept of h(x) is 4. Therefore, we can say that all three functions have different y-intercepts.
Therefore, the statements that can be used to compare the characteristics of the functions are:
h(x) has the smallest x-intercept.
g(x) has the smallest minimum value.
All three functions have different y-intercepts.
Find the equation of the line.
Use exact numbers.
Answers
Answer:
Step-by-step explanation:
Given l ∥ m ∥ n, find the value of x.
Answers
Answer:
-x = 17
Step-by-step explanation:
Given m||n we can write the following equation:
(5x - 23)° + (7x - 1)° = 180° because the these angles are supplementary angles.
Add like terms.(12x - 24)° = 180°
Add 24 to both sides.(12x)° = 204°
Divide both sides with 12.x = 17
30 pts!!
Need help asap
Answers
The equation of the graph is (b) y = (x + 4)(x + 2)(x - 1)
How to identify the equation of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
The graph is a polynomial graph with the following zeros and multiplicities
Zeros of -4, -2 and 1 with multiplicities of 1y-intercept at y = -8The equation is then represented as
y = (x - zero) to the exponent of the multiplicities
So, we have
y = (x + 4)(x + 2)(x - 1)
Hence, the equation of the graph is (b) y = (x + 4)(x + 2)(x - 1)
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6:1 scale with dimensions of 24 inches by 36 inches. what are the real dimensions?
Answers
The real dimensions of the object are 144 inches by 216 inches.
Given that, 6:1 scale with dimensions of 24 inches by 36 inches.
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
In a 6:1 scale, the real dimensions of an object would be 6 times the scaled dimensions. Therefore, the real dimensions of the object given in the question would be 24 inches x 6 = 144 inches by 36 inches x 6 = 216 inches. So, the real dimensions of the object are 144 inches by 216 inches.
Therefore, the real dimensions of the object are 144 inches by 216 inches.
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Sarah fenced in her backyard. The perimeter of the yard is 18 feet, and the width of the yard is 4 feet. Use the perimeter formula to find the length of the rectangular yard in inches: P = 2L + 2W. (1 foot = 12 inches)
96 in.
60 in.
10 in.
5 in.
Answers
Answer: 60 in.
Chain of Thought Reasoning:
Step 1: P = 2L + 2W
Step 2: 18 = 2L + 2(4)
Step 3: 18 = 8 + 2L
Step 4: 10 = 2L
Step 5: 5 = L
Step 6: Convert feet to inches: 1 foot = 12 inches
Step 7: 5 feet = 5 * 12 inches
Step 8: 5 feet = 60 inches
Therefore, the length of the rectangular yard is 60 inches.
You have one red apple and three green apples in a
bowl. You randomly select one apple to eat now and
another apple for your lunch. Use a sample space to
determine whether randomly selecting a green apple
first and randomly selecting a green apple second are
independent events.
Answers
Answer: vvvvv
Step-by-step explanation:
Let R1 and G1 represent the red and green apples available for the first selection, respectively. Similarly, let R2, G2a, and G2b represent the red and two green apples available for the second selection, respectively. Then, the sample space for the two selections is:
{(R1, R2), (R1, G2a), (R1, G2b), (G1, R2), (G1, G2a), (G1, G2b)}
Out of these six outcomes, only two involve selecting a green apple first: (G1, R2) and (G1, G2a). And out of these two outcomes, only one involves selecting a green apple second: (G1, G2a).
Therefore, since the probability of selecting a green apple second changes based on whether a green apple was selected first, the events of selecting a green apple first and selecting a green apple second are dependent.
Which expression is equivalent to "9 more than the quotient of x and 5
Answers
The required expression is (x / 5) + 9
Given that we have to build an equation for the statement "9 more than the quotient of x and 5,
So,
This expression represents the quotient of x divided by 5, and then adding 9 to the result.
Therefore,
"9 more than the quotient of x and 5" can be written mathematically as:
(x / 5) + 9
Hence the required expression is (x / 5) + 9
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need help can someone help me need it to pass math
Answers
The measure of segment HI is given as follows:
HI = 7.
How to obtain the measure of segment HI?The measure of segment HI for this problem are obtained considering the triangle midsegment theorem, which states that the length of the midsegment of the triangle is equals to half the length of the base, hence the base has the length that is twice the midsegment.
The lengths are given as follows:
Midsegment HI = -9x + 70.Base EF = -21 + 5x.Hence the value of x is obtained as follows:
EF = 2HI
-21 + 5x = 2(-9x + 70)
-21 + 5x = -18x + 140
23x = 161
x = 7.
Hence the length HI is given as follows:
HI = -9(7) + 70
HI = 7.
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35 POINTS!!!
What is the measurement angle of angle C and D in the image
Answers
Answer:
c = 45 and e = 30
Step-by-step explanation:
Since we know that A = 45, B = 90, we can calculate C knowing that the total angle of a triangle is 180, so you do 180-45-90 = 45
Finding the angle C helps us find F by subtracting 45 from 180, since a straight line is 180 degrees, which is 135.
We know that E = 15, and what was said earlier about how the toal angle is 180 in a triangle, we can subtract 15 and 135 from 180, which is 30.
Hope that answers your question
Evaluate f (x)=5/2x-8 when x=4
Answers
Answer:
2
Step-by-step explanation:
f(x) = [tex]\frac{5}{2}[/tex] x - 8 ← substitute x = 4 into f(x) , then
f(4) = [tex]\frac{5}{2}[/tex] × 4 - 8 = 5 × 2 - 8 = 10 - 8 = 2
Find the product of (3x + 4)(x − 1). 3x2 + 7x − 4 3x2 + 7x − 3 3x2 − x − 4 3x2 + x − 4
Answers
Hello !
Answer:
[tex]\boxed{\sf (3x + 4)(x - 1)=3x^2+x-4}[/tex]
Step-by-step explanation:
We will have to use the distributive property to expand this expression.
Let's remember :
[tex]\sf (a+b)(c+d)=ab+ad+bc+bd)[/tex]
Let's apply this property to our expression :
[tex]\sf (3x + 4)(x -1)\\=3x\times x+3x\times(-1)+4\times x+4\times(-1)[/tex]
Now let's calculate and combine like terms :
[tex]\sf 3x^2-3x+4x-4\\\boxed{\sf =3x^2+x-4}[/tex]
Have a nice day ;)
In the triangle below, b =________. If necessary, round your answer to two
decimal places.
A
42°
C
Answer here
B
41.5%
37
Answers
Answer:
b ≈ 54.94
Step-by-step explanation:
using the Sine rule in Δ ABC
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
where a is the side opposite ∠ A, b is opposite ∠ B , c is opposite ∠ C
we require to calculate ∠ B
∠ B = 180° - (42 + 41.5)° = 180° - 83.5° = 96.5°
to find b using the pair of ratios
[tex]\frac{b}{sinB}[/tex] = [tex]\frac{a}{sinA}[/tex] ( substitute values )
[tex]\frac{b}{sin96.5}[/tex] = [tex]\frac{37}{sin42}[/tex] ( cross- multiply )
b × sin42° = 37 × sin96.5° ( divide both sides by sin42° )
b = [tex]\frac{37sin96.5}{sin42}[/tex] ≈ 54.94 ( to 2 decimal places )
100
If hypotenuse of an isosceles right-angled triangle is 3(root)2cm, then each of other side is of
Answers
If the hypotenuse of an isosceles right-angled triangle is 3√2 cm, then each of the side of the triangle is 3 cm.
Given that,
Hypotenuse of the right angled triangle = 3√2 cm
Since the triangle is isosceles, the other two sides or the legs of the triangle will have equal length.
Let x be the length of each leg.
Using Pythagoras theorem,
x² + x² = (3√2)²
2x² = 18
x² = 9
x = 3
Hence the length of each side is 3 cm.
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Drag each number to a box to complete the table. Each number may be used once or not at all. 8,000533,00021,000 Kilometers Meters 1 2,000 5,000 8
Answers
Each number should be dragged to a box to complete the table as follows;
Kilometers Meters
1 1,000
2 2,000
3 3,000
5 5,000
8 8,000
What is a conversion factor?In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.
Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;
Conversion:
1 kilometer = 1,000 meters
2 kilometer = 2,000 meters
3 kilometer = 3,000 meters
4 kilometer = 4,000 meters
5 kilometer = 5,000 meters
6 kilometer = 6,000 meters
7 kilometer = 7,000 meters
8 kilometer = 8,000 meters
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Lend a hand with this please. A coin is tossed and a die is rolled What is the probability that the coin shows heads and the die shows an odd number?
Answers
1/4 or 0.25 is the probability that the coin shows heads and the die shows an odd number.
To find the probability that the coin shows heads and the die shows an odd number, we need to consider the possible outcomes for each event and calculate the probability of their intersection.
For the coin toss, there are two possible outcomes: heads (H) or tails (T). Each outcome has an equal chance of occurring, so the probability of the coin showing heads is 1/2.
For the die roll, there are six possible outcomes: 1, 2, 3, 4, 5, or 6. Out of these outcomes, three numbers (1, 3, and 5) are odd. Again, each outcome has an equal chance of occurring, so the probability of rolling an odd number is 3/6 or 1/2.
To find the probability of both events occurring, we multiply the individual probabilities:
Probability of coin showing heads = 1/2
Probability of die showing an odd number = 1/2
Probability of both events occurring = (1/2) * (1/2) = 1/4
Therefore, the probability that the coin shows heads and the die shows an odd number is 1/4 or 0.25.
This means that out of all possible outcomes from tossing a coin and rolling a die, there is a 1 in 4 chance that the coin shows heads and the die shows an odd number. It's important to note that this calculation assumes fair and unbiased coin and die, where the probabilities of each outcome are equally likely.
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IS THERE ANOTHER WAY TO SOLVE THIS PROBLEM
My family and I own a little country store. It’s called Coomer’s Trading Post. We sell a little of everything, but we do sell a lot of cheeseburgers, French fries, bottle soda, and candy bars daily.
We expect to make $175 for cheeseburger and fries only.
I plan to sell 105 burgers and fries all together.
X= burger $4
Y= fries $ 2
I4x+2=175 (equation)
SOLVE FOR Y
X+Y=105
-Y -Y
X= 105-Y
4(105-Y) + 2 =175
420-4Y+2=175
-420 -420
-4Y+2Y=245
-2Y=-245
-2 -2
Y=122.50
SOLVE FOR X
4X+2(122.50)= 105
4X+245=105
-245 -245
4x= 140
4 4
X=-35
THIS IS FOR CANDY BARS AND BOTTLE SODAS.
We expect to make $ 120 for the candy bars and bottle soda together.
We plan to sell 75.
X= candy bars 1.85
Y= bottle soda 2.49
Solve for y
1.85x+2.49=120
X+Y=75
-Y -Y
X=75-Y
1.85(75-Y)+2.49=120
138.75-1.8Y+2.49=120
-138.75 -138.75
-1.8Y+2.49Y=-18.75
.64Y=-18.75
.64 .64
Y=-29.29
SOLVE FOR X
1.85X+2.49(-29.29)=120
1.85X + -72.93=120
-72.93 -72.93
1.85X =47.07
1.85 1.85
X= 25.44
Answers
The values for the Number of cheeseburgers, fries, candy bars, and bottle sodas seem to be inconsistent.The number of fries (Y) is 122.50.The number of cheeseburgers (X) is -17.50
We can calculate the values of X and Y, representing the number of cheeseburgers and fries respectively, and the number of candy bars and bottle sodas respectively.
For cheeseburgers and fries:
We know that the expected revenue from cheeseburgers and fries is $175.
The equation relating the cost of the cheeseburgers (X) and fries (Y) is given as 4X + 2Y = 175.
We also know that the total number of cheeseburgers and fries to be sold is 105, which can be represented as X + Y = 105.
To solve for Y, we can substitute X = 105 - Y into the first equation:
4(105 - Y) + 2Y = 175
420 - 4Y + 2Y = 175
-2Y = 175 - 420
-2Y = -245
Y = -245 / -2
Y = 122.50
To solve for X, we substitute Y = 122.50 into the equation X + Y = 105:
X + 122.50 = 105
X = 105 - 122.50
X = -17.50
Therefore, the number of cheeseburgers (X) is -17.50. However, since it is not possible to have a negative quantity of cheeseburgers, we can conclude that there might be an error in the calculations or the given information.
Moving on to candy bars and bottle sodas:
We expect to make $120 from the sales of candy bars and bottle sodas.
The equation relating the cost of candy bars (X) and bottle sodas (Y) is given as 1.85X + 2.49Y = 120.
The total number of candy bars and bottle sodas to be sold is 75, which can be represented as X + Y = 75.
To solve for Y, we substitute X = 75 - Y into the first equation:
1.85(75 - Y) + 2.49Y = 120
138.75 - 1.85Y + 2.49Y = 120
0.64Y = 120 - 138.75
0.64Y = -18.75
Y = -18.75 / 0.64
Y = -29.29
Again, we encounter a negative value, which is not possible for the number of bottle sodas. This suggests a mistake in the calculations or the given information.
Similarly, to solve for X, we substitute Y = -29.29 into the equation X + Y = 75:
X - 29.29 = 75
X = 75 + 29.29
X = 104.29
Here, we obtain a non-integer value for the number of candy bars, which may indicate an error in the calculations or the given information.
In conclusion, the calculated values for the number of cheeseburgers, fries, candy bars, and bottle sodas seem to be inconsistent with the given information
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