Answers
For the given system of inequalities, x represents the number of brownies and y the number of cookies.
And the graph can be seen in the image below.
What each variable represents?Here we have the system of inequalities:
4x + 6y ≥ 200
x + y < 75.
We know that they want to make less than 75 items, that is what the second inequality:
x + y < 75.
Represents.
We also know that each brownie costs $4, and each cookie costs $6, then the expression:
x*4 + y*6
Represents the revenue for selling x brownies and y cookies, and because they want to earn at least $200, the inequality becomes:
x*4 + y*6 ≥ 200
So we conclude that x represents the number of brownies and y the number of cookies.
Now the system is:
4x + 6y ≥ 200
x + y < 75.
To graph it, you just need to graph both the lines and shade the indicated region, we can write the inequalities sa:
y ≥ (200 - 4x)/6
y < 75 + x
Just graph these two lines, for the first one you need to use a solid line and shade the region above the line, for the second, a dashed line and you need to shade the region below the line. The graph can be seen below.
The solutions to the systems are in the region where both shaded parts intersect.
There we can see that the point x = 20 and y = 20 (among a lot of other ones) is a solution to the system.
If you want to learn more about systems of inequalities:
https://brainly.com/question/9774970
#SPJ1
Related Questions
what is the domain of h
Answers
h: The domain
-5 ≤ x ≤ 5
7 x 7 - 2 ( 11/8 - 3/8 ) pls help me
Answers
It's 47. I used a calculator.
Find the measure of indicated angle or solve variable if necessary
Answers
Value for the 3 straight lines are 180,28 , 152.
What is a straight line, exactly?
Simply put, a straight line is a line devoid of bends. A straight line is one that does not curve and reaches to infinity on both sides.
CBE = 28 + 90 = so the angle is 118 degrees
ABF = you already got the answer written down, 28
CBA = this is not 180 like you wrote, CBA = ABD - CBD
Straight lines = 180, so ABD = 180
You already found out that CBD = 28
so CBA = 180 - 28 so the answer CBA = 152
So, answers for the 3 lines are 180,28 , 152
Learn more about Straight lines
brainly.com/question/27560536
#SPJ9
5(2y-3)=40y what is the answer to this question
Answers
Answer:
y=-2
Step-by-step explanation:
5(2y-3)=40y
10y-15=40y
-15=30y
-2 = y
y = -2
Select the correct answer. Julie ran a race 2 minutes faster than Teri did. If Julie ran the race in 28 minutes, which equation can be used to find the number of minutes, m, it took Teri to run the race? A.m+2=28 B.m-2=28 C.2m=28 D.1/2m=28
Answers
Answer:
Step-by-step explanation:
its A. If julie ran 2 minutes more, then your simply adding 2 minutes to whatever teri got to get 28 (what julie got).
Identify the terms, coefficients, and the constants in the expression. 11q + 2
Answers
The term, coefficient and constant in the expression are 11q, 11 and 2 respectively.
What are the parts of an algebraic expression?The parts of an algebraic expression are;
TermsCoefficientsConstantsTerms: A term can be defined as a number, a variable, or the product of two or more variables or that of a product of a number and a variable.
The term is 11q
Coefficients: A coefficient is defined as an integer multiplied by the variable.
The coefficient is 11
Constants: A constant is a number that do not change.
The constant is 2
Thus, the term, coefficient and constant in the expression are 11q, 11 and 2 respectively.
Learn more about algebraic expression here:
https://brainly.com/question/4344214
#SPJ1
24.
How would the following triangle be classified?
isosceles acute
scalene right
isosceles right
Scalene acute
Answers
1. The height of a right triangular prism is 1 inches. Each side of the triangular base measures 10 inches, and the height of the base is 82 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism's bases lies completely on one side of the cube.
What is the surface area of the solid formed?
Answers
If a right triangular prism's height is 1 inch. The produced solid has the following surface area: = 2,930.05 in².
Right triangular prism describing:A polyhedron with six vertices, nine edges, and five faces is a right triangular prism. Regular prisms have all of their triangles faces equilateral. The prism's rectangular faces will be congruent in this situation.
What is the method for determining a triangular prism's total surface area?A triangular prism's total surface area is the sum of the areas of its three lateral faces (rectangles) as well as two bases (triangles). For something like the surface area of any prism, the most generic formula is:
According to the given data:Given:
Hight = 1 inches
Base of the prism = 10 inches.
The Hight if the base = 82 inches.
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)
Surface area = 5(10× 10) + (0.5÷ 10 × 1) + 3(10× 82)
Surface area = 5(100) +0.05+ 3(810)
Surface area = 500 +0.05 + 2430
Surface area = 2,930.05 in²
The produced solid has a surface area of approximately = 2,930.05 in².
To know more about right triangular prism's visit:
https://brainly.com/question/17004095
#SPJ9
PLEASE HELP. STEP BY STEP NEEDED
Answers
So solutions of the linear quadratic systems are (-5,-3) and (1,3)
Given,
y = x²+5x -3 . . . . . . . . . .. ..1
y-x= 2 . . . . . .. . . . . . . . . . . 2\
From 1 and 2
y=x+2
substitute y=x+2 in 1
x+2= x²+5x -3
x²+5x -x-3-2 = 0
x²+4x -5=0
x²+5x-x -5=0
x(x+5) -1(x+5) = 0
(x+5)(x-1)=0
x= -5 and x=1
at x=-5
y=x+2=-5+2=-3
at x=1
y=x+2=1+2=3
So solutions of the linear quadratic systems are (-5,-3) and (1,3)
To learn more about quadratic systems visit , https://brainly.com/question/17177510
#SPJ9
To the nearest 10 thousand
Answers
When the number given of 15,587,252 is rounded off to the nearest 10 thousand, the result would be 15,590,000.
How to round to the nearest ten thousand?When rounding to the nearest ten thousand, you would look at the thousands number which is the 4th number before the decimal.
If this digit if more than 5, then you round the ten thousandth digit up to the nearest whole number. If the digit is less than 5, then you round down.
The number 15,587,252 has the thousands number as 7 which is more than 5 so the ten thousands number will be round up to:
= 15,590,000
Rest of the question:
Find out 15,587,252 to the nearest 10 thousand.
Find out more on rounding to the nearest 10 thousand at https://brainly.com/question/18218460
#SPJ1
Jemuel and Lemuel are asked to paint a house.Jemuel can paint the house by himself 16hrs and Lemuel can paint by himself in 12hrs .How long would it take to paint the house if they work together?
Answers
Answer:
9 and 3/5 hours or 9 hours and 36 minutes
Step-by-step explanation:
Rate x times = number of jobs
Jemuel's rate is 1 job/ 16 hours.
Lemuels's rate is 1 job/12 hours.
1/16T + 1/14T = 1 Get a common denominator of 48
3/48T + 2/48 t = 1
5/48T = 1 Multiply both sides by 48/5
(45/5)(5/48)T = 1(48/5)
t = 48/5 = 9 3/5 hours.
Ben bought a house for $78,850 and received a rebate of 15% off. He paid 6% in sales tax. How much did he save?
Answers
$525
Step-by-step explanation:
Ben bought the house for $78,850 so 78,850 divided by 0.15 equals 525. So the answer is $525.
x
12
20
48
y
9
15
24
The table gives values from a linear relationship.
• Complete the table
• Write an equation that represents the relationship shown in the
table.
Answers
Explanation:
Julian saved between $30 and $52
over the summer. His friend Daniela
saved twice as much. Let n represent
the amount of money Daniela saved.
What is the compound inequality?
Answers
The compound inequality is 60 < n < 104.
Let 'x' denote the amount of money saved by Julian.
Then x is between $30 and $52.
I.e., x>30 and x<52.
This can be written as a single inequality by combining the both.
i.e., 30 < x < 52
His friend Daniela saved twice as much as Julian.
Let 'n' denotes the amount of money Daniela saved.
Then n = 2x
We need to write the compound inequality for the money saved by Daniela.
As Daniela saved twice as much as Julian, it will be between 2 x 30 = $60 and 2 x 52 = $104
So the compound inequality is 60 < n < 104.
Learn more about compound inequality at https://brainly.com/question/234674
#SPJ1
Keilantra has $660 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $488.20.
She buys 2 bicycle reflectors for $11.17 each and a pair of bike gloves for $19.05.
She plans to spend some or all of the money she has left to buy new biking outfits for $37.26 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Keilantra can purchase while staying within her budget.
Answers
The number of outfits she can buy is 3.
How many outfits can she buy?The The first step is to determine the total cost of all the items already bought.
Total cost = cost of new bicycle + (cost of one reflector x number of reflectors) + cost of the gloves
$488.20 + (2 x $11.17) + 19.05
$488.20 + 19.05 + $22.34 = $529.59
Now, determine the amount that is left to buy the outfits :
$660 - $529.59 = $130.41
Here are inequality signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The inequality sign that would be used is ≤
(cost of one outfit x number of outfits) ≤ amount left
$37.26x ≤ $130.41
x ≤ 130.41 / 37.26
x ≤ 3.5
x = 3
To learn more about inequality, please check: https://brainly.com/question/5031619
#SPJ1
36. THOUGHT PROVOKING
Draw a different figure that
has the same perimeter as
the triangle shown. Explain
why your figure has the
same perimeter.
x+3
3x
2x + 1
Answers
A figure with the same perimeter as the one shown is a rectangle of base 3x and height 2, as given in the end of the question.
What is the perimeter of a figure?The perimeter of a figure is given by the sum of all the outer sides of the figure.
Hence, for this problem, the perimeter is given by:
P = x + 3 + 2x + 1 + 3
P = 6x + 4.
A figure with the same perimeter as the one shown is a rectangle of base 3x and height 2, as given in the end of the question, as:
3x + 3x + 2 + 2 = 6x + 4.
More can be learned about the perimeter of a figure at https://brainly.com/question/22447290
#SPJ1
Find A u B. (Use the roster method to write the set.)
A = {1, 0, 1}, B = {0, 1, 7}
Answers
Answer:
{ 0, 1 , 7}
Step-by-step explanation:
A U B= {1,0,1}. {0,1,7}
={0,1,7}
A square acre of land is 5,280 square yards.
Between which two integers is the length of one side?
Between 17 and 18 yards
Between 72 and 73 yards
Between 24 and 243 yards
Between 1,320 and 1,321 yards
Answers
The two integers which the length of one side is in between are 72 yards and 73 yards
How to determine between which two integers is the length of one side?The given parameters are
Area = 5280 square yards
Shape = Square
The area of a shape is calculated using
Area = Length^2
So, we have
Length^2 = 5280 square yards
Take the square root of both sides
Length = 72.66 yards
72.66 yards is between 72 yards and 73 yards
Hence, the two integers which the length of one side is in between are 72 yards and 73 yards
Read more about area at
https://brainly.com/question/22972014
#SPJ1
Write the expression |x − 9| + |x − 6| without the absolute value symbols if x is in the given interval.
(−∞, 1)
Answers
Recall the definition of absolute value.
[tex]|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}[/tex]
Now,
[tex]x<1 \implies x-9 \le -8 < 0 \implies |x-9| = -(x-9) = 9 - x[/tex]
and
[tex]x<1 \implies x-6 \le -6 < 0 \implies |x-6| = -(x-6) = 6 - x[/tex]
so that
[tex]|x-9| + |x-6| = (9-x) + (6 - x) = \boxed{15 - 2x}[/tex]
A seven-digit number has a 9 in the thousands place, a 2 in the
hundred thousands place, a 6 in the greatest place-value position, a 4
in the ten thousands place, a 1 in the tens place, a 5 in the least
place-value position, and a 7 in the hundreds place. What is the
number?
Answers
Answer: 6,249,715
Step-by-step explanation:
The number sequence is built like this:
Millions , hundred thousands + ten thousands + thousands , hundred + tens
+ ones
The millions place is the greatest value here, and the ones place is the least value in every situation involving whole numbers.
A mother wants to invest $13000 for her children's education. She invests a portion of
the money in a bank certificate of deposit (CD account) which earns 4% and the
remainder in a savings bond that earns 7%. If the total interest earned after one year is
$780, how much money was invested at each rate?
Answers
The amount invested at 4% is $4,333.33
The amount invested at 7% is $8,666.67
What represents the amount invested at 4%?
Let assume that x is the amount invested in the bank certificate of deposit (CD account) which earns 4%, in essence, the interest earned at 4% is the amount of money invested multiplied by 4%
interest at 4%=4%*x=0.04x
amount invested at 7%=13000-x
interest at 7%=7%*(13000-x)
interest at 7%=910-0.07x
total interest=0.04x+910-0.07x
total interest=910-0.03x
total interest earned=780
780=910-0.03x
0.03x=910-780
0.03x=130
x=130/0.03
x=amount invested at 4%=$4,333.33
amount invested at 7%=$13,000-$4,333.33
amount invested at 7%=$8,666.67
Find out more about multiple investment accounts on:https://brainly.com/question/2140799
#SPJ1
Which expression are equivalent to 13^6 divide by (13^8)(13^-4)/13^-2
Answers
→ 13⁶ ÷ [ {13⁸ * 13^(-4)} / 13^(-2) ]
Solving Second part first, we get,
→ [ {13⁸ * 13^(-4)} / 13^(-2) ]
using a^b * a^c = a^(b + c) in Numerator , we get,
→ [ 13^(8 - 4) / 13^(-2) ]
→ 13⁴ / 13^(-2)
→ 13⁴ ÷ 13^(-2)
using a^b ÷ a^c = a^(b - c) now , we get,
→ 13^{4 - (-2) }
→ 13^(4 + 2)
→ 13⁶.
Now , Putting this value in question we get,
→ 13⁶ ÷ 13⁶
→ 1 (Ans.)
Pls solve a question on my hw (1/5)p=15
Answers
P/5=15
P=15x5
P=75
Write an equation of the line with the given slope and the given y-intercept. Express the answer in standard form.
[tex]slope \frac{5}{8} , y-intercept (0,\frac{1}{4} )[/tex]
Answers
Answer:
5x - 8y = -2
Step-by-step explanation:
m = 5/8, x = 0, y = 1/4
so y = mx + b
1/4 = 5/8(0) + b
b = 1/4
so y = 5/8x + 1/4
8y = 5x + 2
5x - 8y = -2
For this 10-point assignment, please describe the context of the mathematics by doing the following:
• Explain how circles are related to the Pythagorean Theorem. You may include triangles in your discussion, too.
• One city is located at (45, -123) and the other is located at (53.65, -6.7). describe how you would compute the distance between the
cities, momentarily ignoring the curvature of the Earth (what would you do if you didn't ignore the curvature?).
Answers
Circles are related to Pythagorean theorem in the sense that the equations are alike and the sides conforms to:
radius ≅ hypotenuse(x2 - x1)^2 ≅ opposite(y2 - y1)^2 ≅ adjacentThe distance between the two cities is 116.62 units (ignoring curvature)
If the curvature is not ignored then we sort for the angle subtended
How to compare circle to Pythagorean theoremThe Pythagorean theorem relates the square of hypotenuse, square of the opposite, and the square of the adjacent as follows
hypotenuse^2 = opposite^2 + adjacent^2 equation 1
Representing a circle in a coordinate axis will give it values in coordinate form. Assuming the coordinate of the center is (x1, y1) and a point in the circumference is (x2, y2). The radius of the circle, r is given as
r^2 = (x2 - x1)^2 + (y2 - y1)^2 equation 2
comparing equation 1 and 2 shows that
radius ≅ hypotenuse, (x2 - x1)^2 ≅ opposite, and (y2 - y1)^2 ≅ adjacent
How to find the between two citiessay A = (45, -123)
say B = (53.65, -6.7)
Let the distance between the two cities be d
d^2 = (53.65 - 45)^2 + (-6.7 - (-123) )^2
d^2 = 8.65^2 + 116.3^2
d = √13600.5125
d = 116.62 units (ignoring the earth curvature)
if the curvature is not ignored then we look for the angle subtends
Read more on circle here: https://brainly.com/question/24375372
#SPJ1
Please help i will give brainliest :)
Answers
Check out the attached photo
(b) After his first month he had more than he expected to have due to interest the bank provided. This let
Rob come up with a better expression, w^2/25 +45w+155, where w is the number of weeks. How much will he have in 1 year?
Answers
The amount he is expected to have due to interest in the bank after a year is; $2603.16
How to solve algebraic equations?We are given the equation;
w²/25 + 45w + 155
where;
w is number of weeks
Now, this equation above represents the function of the amount he is expected to have due to interest in the bank. Thus;
After 1 year, the number of weeks is 52 weeks. Thus, we now have;
A(52) = 52²/25 + 45(52) + 155
A(52) = $2603.16
Read more about algebraic equations at; https://brainly.com/question/4541471
#SPJ1
Describe the transformation from the graph off to the graph of g. PLEASE HELP!
Answers
Answer:
translation 3 units up: g(x) = f(x)+3
Step-by-step explanation:
You are given graphs of f(x) and g(x) and want to know the transformation that gives g(x) from f(x).
Transformations of graphsThe sorts of transformations of graphs that we study are translation, scaling (horizontally or vertically), and reflection about an axis.
Here, both graphs have the same shape, but one is in a different place than the other. The applicable transformation is one of translation.
TranslationThe vertex of f(x) is at (0, -1). The vertex of g(x) is at (0, 2). We note the x-value has not changed, but the y-value has had 3 added to it. (-1 +3 = 2)
g(x) = f(x) +3 . . . . . . the function f is translated 3 units upward.
Two factory plants are making TV panels. Yesterday, Plant A produced 10,000 panels. Three percent of the panels from Plant A and 10% of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 5%
Answers
If the overall percentage of the defective panels from the two plants is 5% then plant B produced 4000 panels in total.
This question can be solved by formulating the problem into the form of a linear equation having two variables. Linear equation in two variables can be represented in the form of ax+by+c=0 where a, b and c are real numbers and x, y are variables or the coefficients, and a, b ≠ 0.
Let the production from plant A be x, and according to the question x=10000.
Also, let the production from plant B be y.
Now, as 3% of products are found defective from plant A and 10% of products are found defective from plant B and overall defective products is 5%.
Thus, 0.03x+0.1y=0.05(x+y)
As x=10000 then
0.03×10000+0.1y=0.05(10000+y)
300+0.1y=500+0.05y
0.05y=200
=>y=4000
Thus, the total number of panels produced by plant B is equal to 4000.
Learn more about Linear equation in two variables at:
brainly.com/question/13951177
#SPJ4
Find the exact value of the trigonometric function of 0 from the given information.
sin 0=
4
5'
tan 00, find sec 0
Answers
The value of the trigonometric function secθ is 3/4.
Given the value of the trigonometric function sinθ is 4/5
we know that sinθ = Perpendicular (P)/Hypotenuse(h)
Therefore, sinθ = 4/5;
perpendicular (p) = 4 and
hypotenuse (h) = 5
In trigonometry, the secant function is a periodic function. The ratio of the hypotenuse's length to the base's length in a right-angled triangle is known as the secant function, or sec function. It is also written as sec x = 1 / cos x since it is the reciprocal of the cosine function.
secθ = base(b) / perpendicular(p)
Therefore, Base (b) = √(h² ₋ p²)
= √(5² ₋ 4²)
= √(25 ₋ 16)
= √9
= 3
Now, therefore secθ = base(b) / perpendicular(p)
= 3/4
Hence we get the value of secθ as 3/4.
Learn more about Trigonometric functions here:
https://brainly.com/question/7331447
#SPJ9