Keiko used 83.5 pounds of type A coffee and 82.5 pounds of type B coffee in the blend.
What exactly are algebraic expressions?
An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression
Given:
Type A coffee cost $5.35 per pound
Type B Coffee cost $4.05 per pound
Keiko made total 166 pound of the blend of $780.85
Therefore,
[tex]5.35x + 4.05y = 780.85 \;\;\;\;\; -------equation (1)[/tex]
[tex]x + y = 166 \;\;\;\; ---------equation (2)[/tex]
simplify the equation (2),
[tex]y = 166-x[/tex]
Substitute the value of y in equation (1),
[tex]5.35x + 4.05 (166-x) = 780.85[/tex]
[tex]5.35x + 672.3 - 4.05x = 780.85[/tex]
[tex]5.35x-4.05x=780.85-672.3[/tex]
[tex]1.3x=108.55[/tex]
Therefore,
[tex]Total\;pound\;of\;type\;A\;coffee\;is,\;x=83.5\;pounds[/tex]
Substitute the value of x in equation (2),
[tex]y=166-83.5[/tex]
Therefore,
[tex]Total\;pound\;of\;type\;B\;coffee\;is,\;y=82.5\;pounds[/tex]
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A square technology chip has an area of 81 centimeters. How long is each side of the chip?
The length of each side of the chip is ]]]blank]]]
enter your response here cm.
(Simplify your answer.)
The length of each side of the chip is 9 centimeters.
What is the length of each side of the chip?A square is an object that has four sides and four equal sides. All the four sides of a square are of equal length. A square has two diagonal that bisect each other at 90°.
The area of a square = length²
Given the area of a square, the length can be determined by calculating the square root of the area of the square. The square root of a number divides a number into two equal halves.
Length = √area
√81 = 9cm
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PLEASE DONT STEAL MY POINTS AND BEST ANSWER GETS BRAINLEST.
A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work.
Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points)
Part B: Find the falcon's rate in meters per hour. (3 points)
Part C: Find the falcon's rate in kilometers per hour. (3 points)
Part D: Which unit, meters, or kilometers, makes more sense to use in this scenario, and why? (2 points)
The answers are :
Part A: r = d/t, Part B: 200,000 meters per hour, Part C: 200 kilometres per hour Part D: Kilometres is more appropriate.
Part A: To rearrange the distance formula for the value of rate, rate will be on Left Hand Side of the equation and other variables will be on Right Hand Side of the equation.
rate = distance/time.
Part B: Rate in meter per hour can be calculated by keeping the values in formula formed in Part A.
Rate = 800,000 ÷ 4
Rate = 200,000 meters per hour.
Part C: To find the rate in kilometres per hour, we will simply convert the calculated rate from meters to kilometres. As per the known fact, 1000 meters = 1 kilometre.
Rate = 200,000 ÷ 1000
Rate = 200 kilometres per hour
Part D: The use of unit kilometre is more appropriate in this problem. This is because the speed is fast and contains many zeroes. Reading and understanding in the form of kilometres is more practical in comparison to meters.
Hence, Part A: r = d/t, Part B: 200,000 meters per hour, Part C: 200 kilometres per hour Part D: Kilometres is more appropriate
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asgt 2.2 7 of 77 of 7 items on a number line, a is at 5 and b is at 50. point x is the midpoint. point t is 2/3 of the way from x to b. determine the coordinate of point t. distance of xb =
On a number line where A is at 5 and B is at 50, and X is the midpoint and T is somewhere between A and B, the coordinates of point T is 15 and the distance of XB is 22.5.
A number line is straight line divided by equal measures that serves as a visual representation of the real numbers.
If on a number line, a is at 5 and b is at 50, then AB = 50 - 5 = 45.
If point X is the midpoint of A and B, then X divides the distance of A to B into two equal parts.
let n = AX = XB
AB = AX + XB
45 = n + n
45 = 2n
n = 22.5
AX = XB = 22.5
If point T is 2/3 of the way from X to B, then
T = 2/3XB
T = 2/3(22.5)
T = 15
Hence, the coordinates of T is at 15 and the distance of XB is 22.5.
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A farmer has 120 bushels of apples to sell at his stand. he sells an average of 16 3/5 bushels each day. represent the total change in the number of bushels he has for sale after 7 days
The total change in the number of bushels he has for sale after 7 days = 116.2
In this question,
A farmer sells an average of 16 3/5 bushels each day.
We write above improper fraction 16 3/5 in proper fraction as 83/5
And the decimal form of given fraction 83/5 is:
83/5 = 16.6
After 7 days, he would sold (16 3/5) × 7 bushels.
We simplify an expression (16 3/5) × 7
(16 3/5) × 7 = 16.6 × 7
= 116.2
As a result, the farmer would have only 120 - 116.2 = 3.8 bushels for sale.
Therefore, the total change in the number of bushels he has for sale after 7 days = 116.2
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Consider the function f(x) = x² + 3x - 7. Find the value of f(x) when x = 3 and select the correct answer below. (5 points)
05
8
11
18
I need help with the delta math order signed number (level 2) Drag the numbers below to put them in order from least to greatest
The numbers ordered from least to greatest are- 2.14, 2.2, 2.221, 2.276, 2.26, 2.291.
Here, we are given 6 numbers-
2.2, 2.276, 2.291, 2.14, 2.26, 2.221
Now, we can add as many zeroes as we want after the decimal, it does not change the value of the number.
Thus, let us make all the numbers 3 digit decimal numbers
2.200, 2.276, 2.291, 2.140, 2.260, 2.221
Here, all the numbers have 2 in the units place, so we just need to compare the decimals
The first digit after decimal is 2 in all the numbers except 2.140, thus it is the smallest.
Then, the second digit after decimal is 0 in 2.200, thus it is the next smallest number.
By similar logic, looking at the second digit after the decimal only we can arrange the remaining numbers as 2.221, 2.276, 2.260, 2.291.
Thus, the numbers ordered from least to greatest are- 2.14, 2.2, 2.221, 2.276, 2.26, 2.291.
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Your question was incomplete. Please check for full content below-
Drag the numbers below to put them in order from least to greatest
2.2, 2.276, 2.291, 2.14, 2.26, 2.221
Solve the equation. 2(5 – 7) = 1
Answer:
False
Step-by-step explanation:
Distribute, do the math, and evaluate the resulting equality/statement to see if it is true
10 - 14 = 1
-4 = 1
That is not true so the answer is false
30 points
how do i solve 4x -1
Answer: QV=31 units ==> 3rd option
Step-by-step explanation:
SV=QV ==> Congruent segments are equal
4x-1=QV
TQ=TS ==> Congruent segments are equal
26=3x+2
26-2=3x+2-2
3x=24
x=8
4x-1=QV
4(8)-1=QV
32-1=QV
QV=31 units ==> 3rd option
Describe how to graph the solution of
The solution of the given inequality y ≤ -x² + 2x is (x,y) ≥ {(0,0) and (-2,-4)} obtained by plotting graph between axis.
What is inequality?A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
Given the inequality,
y ≤ −x² + 2x
The inequality consists of two functions,
y ≤ -x² and y ≤ 2x
Now if we plot both inequalities
x = 0 ⇒ y = 0
And,
2x ≤ -x²
-x²/x ≥ 2
x ≤ -2
So,
y ≤ 2(-2)
y ≤ -4
If we plot both as shown below then the bounded region is obtained towards the right therefore the solution will be greater than this.
Therefore (x,y) ≥ {(0,0) and (-2,-4)} will be solution.
Hence "The solution of the given inequality y ≤ -x² + 2x is (x,y) ≥ {(0,0) and (-2,-4)} obtained by plotting graph between axis".
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The answer to Gprahing systems of equations
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Independent Practice For each pair of expressions below, without substituting in specific values, determine which of the expressions in the given pairs is larger. Explain your reasoning in a sentence or two.
In the first pair of numbers 15/x² + 6 is larger and in the second pair of numbers (s² + 2)/(s² + 1) is larger
What is Expression in Mathematics?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is two pairs of expressions. From the image given , we can write them as -
Pair 1 → f(x) = 15/x² + 6 and h(x) = 15/x² + 7
Pair 2 → f(s) = (s² + 2)/(s² + 1) and h(s) = (s² + 4)/(s² + 3)
We can compare which expression is larger in both the pairs without substituting any specific value as follows -
Pair 1 → f(x) = 15/x² + 6 and h(x) = 15/x² + 7.
The numerator is same in both the functions.
Now, for any value of x ∈ R → x² + 6 < x² +7 by 1. Therefore, f(x) > h(x)
Pair 2 → f(s) = (s² + 2)/(s² + 1) and h(s) = (s² + 4)/(s² + 3)
f(s) = (s² + 2)/(s² + 1) = [(s² + 1) + 1]/(s² + 1) = 1 + 1/(s² + 1)
h(s) = (s² + 4)/(s² + 3) = [(s² + 3) + 1]/(s² + 3) = 1 + 1/(s² + 3)
So, we can write that -
f(s) = 1 + 1/(s² + 1)
h(s) = 1 + 1/(s² + 3)
Now for any value of s → (s² + 1) < (s² + 3) by 2. So → 1/(s² + 1) > 1/(s² + 3). Therefore → 1 + 1/(s² + 1) > 1 + 1/(s² + 3). Finally, we can write -
(s² + 2)/(s² + 1) > (s² + 4)/(s² + 3)
Therefore, in the first pair of numbers 15/x² + 6 is larger and in the second pair of numbers (s² + 2)/(s² + 1) is larger.
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Solve for x can you help please
Answer:
x = 13
Step-by-step explanation:
23 - 9 = 14
14 / 2 = 7
So both sides should equal to 7.
Set the two expression equal to each other and solve.
x - 6 = 2x - 19
move the 6 to the other side by adding
x = 2x - 19 + 6
x = 2x - 13
then move 2x to the other side by subtracting
x - 2x = -13
-x = -13
divide both sides by -1 to get x
x = -13/-1
x = 13
Check.
plug 13 in for x
x - 6
13 - 6 = 7
2x - 19
2(13) - 19
26 - 19 = 7
so both expressions are equal to each other now and
7 x 2 = 14
14 + 9 = 23
thus x = 13
Kiara has $250 in her bank account. Each week she deposits $80 and withdraws $35. Gael has $310 in his account. Each week he deposits $95 and withdraws
$20. Write and solve an equation to determine the week w when Gael and Kiara have the same amounts of money in their account
The equation to determine the week w when Gael and Kiara have the same amounts of money in their account is 45w + 250 = 75w + 310
What is an equation?An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.
Let w represent the number of weeks.
For Kiara:
Money in account = (80 - 35)w + 250 = 45w + 250
For Gael:
Money in account = (95 - 20)w + 310 = 75w + 310
For both to have same amount of money:
45w + 250 = 75w + 310
The equation to determine the week w when Gael and Kiara have the same amounts of money in their account is 45w + 250 = 75w + 310
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The cost, c, for catering a luncheon using Right On Catering is c=120+12m+10v where m is the number of meat lunches and v the number of vegetarian lunches being served at the luncheon.
a.) Solve the equation for v.
b.) If the cost for the luncheon was $558 and 24 attendees ordered the meat lunches, how many vegetarian lunches were served?
Answer:
if the cost for the luncheon was $558
and 24 attendees ordered the meat lunches , how many vegetarian lunches were
Step-by-step explanation:
Answer:
Step-by-step explanation:
HELP ! (Order of Operations with Radicals MC) Evaluate quantity the square root of 16 times 3 squared minus the cube root of negative 27 end quantity divided by 2 squared.
HELP URGENT!! EVERYTHING INCLUDED IN PHOTO!!
Answer:
Part A is 63-7.5
Step-by-step explanation:
What is the approximate value of the 16th percentile of corn yield for counties in iowa?
16th percentile of corn yield for counties in iowa is 153.4.
What is percentile?In statistics, a score below which a certain percentage of scores (k) in a frequency distribution falls is known as a k-th percentile, whereas a score at or below which a given percentage falls is known as a k-th centile (inclusive definition). The score below which (exclusive) or at which (inclusive) 50% of the scores in the distribution may be found is known as the 50th percentile (the median), for instance. For instance, if the input scores are related to human weight, the corresponding percentiles will be represented in kilograms or pounds. Percentiles are expressed in the same unit of measurement as the input scores.
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The sum of two consecutive integers is 187. Find the integers.
What is the product of −2 1/4 and 2 1/2?
help me
The problem is asking for the product, meaning we need to multiply.
-2 1/4 * 2 1/2
To make multiplying easier, we can convert the mixed numbers into improper fractions.
2 * 4 = 8, + 1 = 9/4
2 * 2 = 4, + 1 = 5/2
Now, we have this:
-9/4 * 5/2
Since the denominators are different, we can find the least common multiple of the denominators to make them the same. In this case, the least common multiple of 4 and 2 is 4.
-9/4 * 1 = -9/4
5/2 * 2 = 10/4
Now, we have this:
-9/4 * 10/4
We can now multiply!
-9 * 10 = -90
/4 * /4 = /16
= -90/16
You can simply the improper fraction if you'd like.
-90 / 16 = -5.625
So, our answer is -90/16, or -5.625.
Which mathematical term cannot be precisely defined? line segment point circle ray
pls help me
Which expression is equivalent to -5 + 6
A:-5+6
B:5+6
C:5-6
D:6-5
Answer:
-5+6 = 1
6-5 = 1
therefore, the answer is D.
Answer:
D
Step-by-step explanation:
-5+6=+1
and 6-5=+1
since both are equal to 1
D is the answer
what is the answer to this problem?
10
_
8
Step-by-step explanation:
corect me if i wrong
a school authority claims that the average percentage marks of students is 68. a researcher has taken a well–designed survey and his sample mean is 64.5 and sample standard deviation is 2. the sample size is 300. which statement is correct?
The statement B is correct, i.e., The result of the survey is statistically significant.
What is statistical significance?The probability that the difference in conversion rates between a given variation and the baseline is not the result of random chance is known as statistical significance.
Given:
Average percentage of students = 68Sample mean of researcher = 64.5Sample standard deviation = 2Sample size = 300To find: WHich of the given statements is correct?
Finding:
According to the given data,
We can infer that there is a statistically significant result because our findings from a large sample size and relatively small standard deviation show that 64.5 is much lower than the average 68. Additionally, it differs practically.Hence, the statement B is correct, i.e., The result of the survey is statistically significant.
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(COMPLETE QUESTION:
A school authority claims that the average percentage marks of students is 68. A researcher has taken a well-designed survey and his sample mean is 64.5 and sample standard deviation is 2. The sample size is 300.Which statement is correct?
a.)
The difference exists due to chance since the test statistic is small.
b.)
The result of the survey is statistically significant.
c.)
The sample size should be much more.
d.)
The result of the survey is not statistically significant.)
Solve for x. please show work for answer on paper
3x – 8 – 4x = -13
A) 3 The weapon was not an algebra book.
B) -3 The weapon was not a promethean pen.
C) 5 The weapon was not a calculator.
D) -5 The weapon was not a protractor.
E) 5/7 The weapon was not cafeteria food.
Answer:
c) 5
Step-by-step explanation:
Solving for the value of x,
→ 3x - 8 - 4x = -13
→ 3x - 4x = -13 + 8
→ -x = -5
→ [ x = 5 ]
Thus, the value of x is 5.
Answer:
5
Step-by-step explanation:
Use PEMDAS
First you should do is to combine like terms
[tex] - x - 8 = - 13[/tex]
Haveing combined ike terms you need to add 8 to both sides (Like terms are terms that have the same variable like,x)
[tex] - x = - 5[/tex]
Then divide by a negative 1
(this is to get rid of negative x)
[tex]x = 5[/tex]
Hope this helps!
Feel free to ask questions
I need help with these questions
Answer:
17. (2/5)
19. (-7/3)
21. (2/3)
Step-by-step explanation:
17.
5 5 1
- -------n + ------n = - ------
2 4 2
5 (2) 5 1 (2)
- -------n + ------n = - ------
2 (2) 4 2 (2)
10 5 2
- -------n + ------n = - ------
4 4 4
10 5 2
(- -------n + ------n = - ------) (4)
4 4 4
-10n + 5n = -2
-5n = -2
÷ -5 ÷-5
n = (2/5)
----------------------------------------------------------------------------------------------------------
19.
3 15 21
-------n - -------n = -------
2 4 4
3 (2) 15 21
-------n - -------n = -------
2 (2) 4 4
6 15 21
(-------n - -------n = -------) (4)
4 4 4
6n - 15n = 21
-9n = 21
÷-9 ÷-9
n = (-7/3)
----------------------------------------------------------------------------------------------------------
21.
1 5
- -------n - n = - -------
4 6
1 (3) 5 (2)
- -------n - n = - -------
4 (3) 6 (2)
3 10
- -------n - n = - -------
12 12
3 10
(- -------n - n = - -------) (12)
12 12
-3n - 12n = -10
--15n = -10
÷-15 ÷-15
n = (2/3)
----------------------------------------------------------------------------------------------------------
I hope this helps!
Help me asap this due in like a hour
Answer:
A: 2
B: 5
C: 4
D: 3
E: 1
Step-by-step explanation:
Looks right to me :)
Fill in the gap to factorise -16z - 12 = −4(-
Answer:
- 4(4z + 3)
Step-by-step explanation:
- 16z - 12 ← factor out - 4 from each term
= - 4(4z + 3)
솓ㄱㄷ 샤 냐 :)
THERE...........
Answer:
60 percent
I think it is 60 but you might need a more certifyd answer
==================================================
Explanation:
A is 40% of B
This translates to the equation A = 0.40B or A = 0.4B
This is because 40% converts to 0.40 in decimal form
Let's divide both sides by 0.4 to isolate B
A = 0.4B
A/0.4 = B
B = (1/0.4)A
B = 2.5A
This shows that B is 250% of A
------------
Another approach:
40% = 40/100 = 2/5
"A is 40% of B" is the same as "A is 2/5 of B
So,
A = (2/5)*B
5A = 2B
2B = 5A
B = 5A/2
B = (5/2)A
B = 2.5A
which is another way to show that B is 250% of A
Line c passes through points (5, 1) and (9, 8). Line d is parallel to line c. What is the slope of line d?
The slope of line d is m =7/4.
Given c points (5,1) and (9,8).
and the d line is parallel to line c.
We have to find the slope of d.
The slope formula is to determine a line's slope or steepness, use the slope formula. By calculating the ratio of the change in the y-axis to the change in the x-axis, it may be used to calculate the slope of any line. A line's slope is determined by how its "y" coordinate changes in relation to how its "x" coordinate changes.
Slope m = rise/run =[tex]=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Here, [tex](x_{1} ,y_{1} )=(5,1) and (x_{2} ,y_{2} )=(9,8)[/tex]
We get slope by substitute this points in m value.
m=(8-1)/(9-5)
m=7/4
Therefore, the slope m=7/4.
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Pls pls help whoever gets it right gets a crown
Answer: -104y^2 + 52y
Step-by-step explanation:
-13y(8y-4)=
-13y*8y - 4(-13y)= ==> distribution property
-13*8*y*y - (-52y)=-104y^2 + 52y