It takes Mario and Jessica 15 minutes to set up 5 tables. If Mario and Jessica work at a constant rate, which best describes a possible constant of proportionality?

Answer:

x = 36; y = 9

Step-by-step explanation:

To solve this problem you need to set up two equations. The first equation comes from the first sentence "One number is 4 times another." This equation can be written as x = 4*y where x and y are the two numbers. The second equation comes from the second sentence "Their difference is 27." This equation can be written as x-y = 27. To find the numbers you need to rearrange one equation and plug it into the other.

Step 1: write equations

x = 4*y

x-y = 27

Step 2: rearrange

Not necessary here

Step 3: substitute in

x - y = 27

4y -y = 27

3y = 27

y = 9

Step 4: solve for x

x = 4*y

x = 4*9

x = 36

[tex]x[/tex] - one number

[tex]4x[/tex] - the other number

[tex]4x-x=27\\3x=27\\x=9\\\\4x=4\cdot9=36[/tex]

These numbers are 9 and 36.

Answer: 1.75•5%=0.0875

1.75+0.0875=$1.84

I’m pretty sure this is correct

Answer:

5% of 1.75 is 0.085.

So 1.75 + 0.085 is 1.8375.

By solving a linear equation, we will see that after 3 hours, both companies will charge the same amount.

We know that company A charges $200 plus $50 per hour. So if they work for x hours, they charge:

A(x) = $200 + $50*x

And company B charges $125 plus $75 per hour, so if they work for x hours, they charge:

B(x) = $125 + $75*x

We want to find the value of x such that A(x) = B(x), then we want to solve the linear equation:

$200 + $50*x = $125 + $75*x

$200 - $125 = $75*x - $50*x

$75 = $25*x

$75/$25 = x = 3

This means that after 3 hours, both companies will charge the same amount.

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Answer:

triangles A and B are similar

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 40°

40 * 9 =360° Each part has 40° angle

Answer: [tex]y\leq -3x-3[/tex] [tex]< --Graph[/tex]

In order to graph the equation "y ≤-3x - 3", we need to graph the inequality by finding the boundary line, then shading the appropriate area.

Answer:

122.5 degrees

Step-by-step explanation:

A six sided polygon's interior angles sum to

  (n-2)(180) =  (6-2) (180) = 720 degrees

then   x + x + x +     x+10    + 130   + 90 = 720

                          4x = 490        so x = 122.5 degrees

Answer: The value of x is 3.5

Explanation:

Equation:

y = 2x - 7

When the equation's Line intersects the x-axis, the value of y shall be always 0

Insert y = 0, to find x intercept

⇒ 0 = 2x - 7

⇒ 2x - 7 = 0

⇒ 2x = 7

⇒ x = 3.5

So coordinates: (x, y) → (3.5, 0)

Answer:

Step-by-step explanation:

5.9 1014 kg (1300 trillion pounds)

5.9 108 kg (1.3 billion pounds)

5.9 1017 kg (1.3 quadrillion pounds)

5.9 1011 kg (1.3 trillion pounds)

those are the options

The probability that he will receive the job will be 1 / 6

The complete question is given below:-

A job applicant estimates that his chance of passing a qualifying examination is 2/3, and his chance of being appointed if he does pass is 1/4. What is the probability that he will receive the job?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

It is given that:

The chance of passing a qualifying examination is 2/3=P

and chance of being appointed, if he does pass, is 1/4=P'

Now, we are asked to find the probability that he will receive the job.

We are asked to find the probability that he will receive the job.

The probability is calculated as The probability that he qualify the exam×Probability that he is being appointed.

=P×P'

=(2/3)×(1/4)

=1/6

Therefore the probability that he will receive the job will be 1 / 6

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Answer:d.33

Step-by-step explanation: To begin we convert his living room floor length and width to inches. 8 1 slash 3 feet = 100 inches
10feet= 120 inches

hence the area in square inches of the living room floor is 100 inches times120 inches = 12000 inches squared.

Each carpet tile has an area of 20 by 20 which = 400inches squared. dividing the area of the living room by 400inches of each carpet tile, would yield 30 carpet tiles needed to cover this area.

As per linear equation, the minimum number of carpet tiles that Aurelio must purchase to cover the area of his living room floor is 29.

A linear equation is an equation that has one or multiple variables with the highest power of the variable is 1.

Given, the room has a length of 10 feet = 12 × 10 inches = 120 inches

The width of the room is = 8 feet = 12 × 8 inches = 96 inches

Therefore, the area of the room is

= 120 × 96 square inches

= 11520 square inches

Length of each carpet tile is 20 inches

Width of each carpet tile is 20 inches

Therefore, the area of each tile is

= (20)² square inches

= 400 square inches

The number of tiles require

= (11520/400)

= 28.8

≈ 29

Therefore, 29 tiles will be required.

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The reasonable domain of the function is [0,4)

The function of the car value is given as:

V(x) = 20000 * (0.84)^x

When the car reaches half its value, we have:

V(x) = 10000

Substitute V(x) = 10000 in V(x) = 20000 * (0.84)^x

10000 = 20000 * (0.84)^x

Divide both sides by 20000

0.84^x = 0.5

Take the logarithm of both sides

x log(0.84) = log(0.5)

Divide both sides by log(0.84)

x = 4

This means that the maximum value of x is 4

Hence, the reasonable domain of the function is [0,4)

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Equation A and equation C are equivalent , and of those, equation C is in the form most useful for identifying the extreme value of the function it define​s.

The quadratic expressions can be simplified as follows;

Equation C is simplified as follows;

y = 3(x - 1)² + 18

y = 3(x² - 2x + 1) + 18

y = 3x² - 6x + 3 + 18

y = 3x² - 6x + 21

Thus, equation A and equation C are equivalent , and of those, equation C is in the form most useful for identifying the extreme value of the function it define​s.

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A sample is one that is representative of the population, selected at random, and large enough to provide accurate data.

A sample is a smaller group that is representative of the population. A sample is sometimes necessary because it might not be feasible or cost effective to access the whole population.

For example, if a researcher is studying the impact of inflation on US families. It is not feasible to reach the whole of the families in the US. So, the researcher would use a representative group of US families. This is known as a sample.

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x = 53/80 = 0.6625

​

if isn't right I have another equation

Answer:

13.25

Step-by-step explanation:

[tex]x - 7 \div 20 = 5 \div 16[/tex]

by cross multiplying

16(x-7)=5(20)

16x-112=100

16x=100+112

16x=212

x=212 /16

×=13.25

if the question is this

The height of the television given the length of its diagonal and its width is 55.6 inches

The  height of the television can be determined using Pythagoras Theorem.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

√95² - 77² = 55.6 inches

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Answer: 55.6

Step-by-step explanation: 55.6 that's what I put in and got it right

Answer:

Blue Rectangle: 135 mm²

Blue Triangle: 45 mm²

Not sure if you need this but the Total Square: 225 mm²

Step-by-step explanation:

Area of a rectangle: length x width

Area of a triangle: [tex]\frac{1}{2}[/tex] x base x height

First find the area of the blue rectangle.

Length = 15 mm

Width = 9 mm

Area = 135 mm²

Now find the area of the blue triangle:

Base = 6 mm (because the bottom is 15 total and you subtract the 9)

Height = 15 mm

Area = 45 mm²

Hope it helps!

Answer:

8

Step-by-step explanation:

2 pattern block trapezoids makes one hexagon

There are 4 hexagons so you have to multiply 2 by 4

you get 8

8 is your answer

The probability of winning when betting on two lines that touch each other on the table is 6/38

The sample size is given as:

n = 38

The numbers on the range 1-2-3-4-5-6 is:

Range = 6

So, the probability is calculated as:

P = Range/n

This gives

P = 6/38

Hence, the probability of winning is 6/38

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Answer:

13

Step-by-step explanation:

[tex]Sin = \frac{opp}{hyp} \\cos= \frac{adj}{hyp} \\tan = \frac{opp}{adj}[/tex]

=> get the length of the diag on bottom

[tex]tan x = \frac{3}{4} x = 36.87[/tex] degree

[tex]sin(36.87)=\frac{3}{y}[/tex]

y is about 5

=> calculate max length of stick

[tex]tan\left(x\right)\:=\frac{5}{12}, x= 22.62degree[/tex]

[tex]sin\left(22.62\right)\:=\:\frac{5}{x}[/tex]

which is 13

Answer:232 inch^2

Step-by-step explanation:to solve, add the surface area of each side. Remember, there are 3 pairs of sides and the pairs have equal area. Area =length x length. So we have 2x(8x2)+2x(2x10)+2x(10x8) in square inches.

subtracting 6x from 8x. It's quite simple to deal with small two-part numbers like these. After subtracting 6x from 8x, you will get the answer 2x.

Quick Answer:

You simply 8x-6x by subtracting 6x from 8x, and then you will get the answer 2x

HAVE A NICE DAY

Answer:

147

Step-by-step explanation:

[tex]\displaystyle \frac{f(b)-f(a)}{b-a}\\ \\\frac{f(5)-f(3)}{5-3}\\ \\\frac{(3(5)^3+2)-(3(3)^3+2)}{2}\\ \\\frac{(3(125)+2)-(3(27)+2)}{2}\\ \\\frac{(375+2)-(81+2)}{2}\\ \\\frac{377-83}{2}\\ \\\frac{294}{2}\\ \\147[/tex]

Recall that if a function [tex]f[/tex] is continuous over the interval [tex][a,b][/tex], then its average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex].

Answer: B- x/4

Step-by-step explanation:

The period is the horizontal distance needed for the values to repeat themselves.