Justin made a scale drawing of a city. The scale he used was 5 inches : 2 yards. A neighborhood park is 175 inches in the drawing. How wide is the actual park?

Answer:

x=8

Step-by-step explanation:

2x + 5 = 21

Subtract 5 from each side

2x+5-5 = 21-5

2x= 16

Divide each side by 2

2x/2 = 16/2

x = 8

Answer:8

Step-by-step explanation:

2 times eight plus five is 21

Answer:

y = 5x - 2

Step-by-step explanation:

The slope will be 5, because that is the opposite reciprocal of the original slope, -1/5

Then, plug the slope and the given point into y = mx + b to find b:

y = mx + b

-2 = 5(0) + b

-2 = 0 + b

-2 = b

Then, plug the y-intercept and the slope into the equation:

y = 5x - 2 will be the equation

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Answer:

The correct option is;

Benito's profit per shirt increased from $10 to $15

Step-by-step explanation:

Over the interval [0, 7] from 0 to 7 on the x axis, we have;

At x = 0, y = -20, therefore the y-intercept = -20

At y = 0, x = 2 which is the x-intercept

The slope, m₁ of the straight line plotted dots on the interval from 0 to 7 on the x axis is found as follows;

m  = (y₂ - y₁)/(x₂ - x₁)

m₁ = (0 - (-20))/(2 - 0) = 10

The equation of the interval is therefore;

y - 0 = 10×(x - 2)

y = 10·x - 20

Therefore, the profit, y increases by $10, for each shirt, x, sold over the interval from 0 to 7 on the x axis

Over the interval [8, 11] from 8 to 11 on the x axis, we have;

At x = 9, y = 40,

At x = 11, y = 70

The slope, m₂ of the straight line plotted dots on the interval from 8 to 11 on the x axis is found as follows;

m  = (y₂ - y₁)/(x₂ - x₁)

m₂ = (70 - 40)/(11 - 2) = 15

The equation of the interval is therefore;

y - 70 = 15×(x - 11)

y = 15·x - 165

Therefore, the profit, y increases by $15, for each shirt, x, sold over the interval from 8 to 11 on the x axis.

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{15 {x}^{4} + 13 {x}^{2} y + 2 {y}^{2} }}}}[/tex]

Option A is the correct option.

Step-by-step explanation:

[tex] \sf{(3 {x}^{2} + 2y)(5 {x}^{2} + y)}[/tex]

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

Thenafter, Simplify

[tex] \dashrightarrow{ \sf{3 {x}^{2} (5 {x}^{2} + y) + 2y(5 {x}^{2} + y)}}[/tex]

[tex] \dashrightarrow{ \sf{15 {x}^{4} + 3 {x}^{2} y + 10 {x}^{2} y + 2 {y}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{15 {x}^{4} + 13 {x}^{2} y + 2 {y}^{2} }}[/tex]

Hope I helped!

Best regards! :D

Answer:

x = -9

Step-by-step explanation:

Solve for x:

2 (-3 x - 5) + 2 x = 26

2 (-3 x - 5) = -6 x - 10:

2 x + -6 x - 10 = 26

2 x - 6 x = -4 x:

-4 x - 10 = 26

Add 10 to both sides:

(10 - 10) - 4 x = 10 + 26

10 - 10 = 0:

-4 x = 26 + 10

26 + 10 = 36:

-4 x = 36

Divide both sides of -4 x = 36 by -4:

(-4 x)/(-4) = 36/(-4)

(-4)/(-4) = 1:

x = 36/(-4)

The gcd of 36 and -4 is 4, so 36/(-4) = (4×9)/(4 (-1)) = 4/4×9/(-1) = 9/(-1):

x = 9/(-1)

Multiply numerator and denominator of 9/(-1) by -1:

Answer: x = -9

Answer:

[tex]\dfrac{17}{30}[/tex] minutes.

Step-by-step explanation:

It is given that Sally takes [tex]2\dfrac{5}{6}[/tex] minutes to drive from her home to the local shopping center.

[tex]2\dfrac{5}{6}=\dfrac{2(6)+5}{6}[/tex]

[tex]2\dfrac{5}{6}=\dfrac{12+5}{6}[/tex]

[tex]2\dfrac{5}{6}=\dfrac{17}{6}[/tex]

She spends 1/5 of this time waiting at traffic lights.

Waiting time in traffic [tex]=\dfrac{17}{6}\times \dfrac{1}{5}[/tex]

                       [tex]=\dfrac{17}{30}[/tex]

Therefore, waiting time is [tex]\dfrac{17}{30}[/tex] minutes.

Answer:

x=66

hope this helped :)

Answer:492

Step-by-step explanation:

the answer is -15. negative - negative = negative.

Answer:

(-8)+(-7).

-8-7= -15.

Answer:

The output variable will be on the y-axis, the input variable will be on the x-axis.

Step-by-step explanation:

To create a function, we must an equation in the form of

[tex]Y(x) = kx + b[/tex]

The x-axis of a graph will be what we change in the function. We will get a certain value ([tex]Y(x)[/tex]) that changes when the right side of the function changes. This means that the input of the function will be [tex]x[/tex].

The y-axis of a graph will be what the x-axis makes. In this case, it's [tex]Y(x)[/tex]. This is the output of the graph after given the input.  This means the output is [tex]Y(x)[/tex].

Hope this helped!

Answer:

A  22w = 1540

B Width = 70 feet

Length = 700 feet.

Step-by-step explanation:

A.  If the width is w then the length is 10w.

Perimeter = 2* (length + width) so

2(10w + w) = 1540

22w = 1540.

B.  22w = 1540

w = 1540 / 22

w = 70 feet.

l = 70 * 10 = 700. feet.

Answer:

We lurk late. We stike straight.

Step-by-step explanation:

Alliteration is the repetition of the beginning sounds ir letters of words.

Ex: Lucy is lazily laughing.

Answer:

[tex]\huge\boxed{\sf 5y^2 -4}[/tex]

Step-by-step explanation:

[tex]\sf (7y^2 + 3xy -9) - (2y^2+3xy-5)\\\\Resolving \ Parenthesis\\\\7y^2 + 3xy-9 -2y^2 -2xy+5\\\\Combining \ like \ terms\\\\7y^2-2y^2+3xy-3xy-9+5\\\\Adding \ or \ Subtracting\\\\\boxed{\bold{\sf 5y^2-4}}[/tex]

Answer: 237

Step-by-step explanation:

Ok we can write 426 as:

400 + 20 + 6

Then the 2 in 426 is in the place of the tens and represents a 20.

If we want a number with a 2 that is 10 times greater than 20, we have that:

10*20 = 200.

Then we should find a number with a 2 in the hundreds place, an example can be:

237

where we can write this number as:

237 = 200 + 30 + 7

and the 2 is in the hundreds place.

Answer:

infinity

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Infinity and beyondddd

Answer:

16 - 7 + 22 - 12 + 18 - 9 = 28

Hope it helps :)

Answer:

(9/5, 8/5)

Step-by-step explanation:

First you want to find the equations of the lines. One line is y = 2x - 2 and the other line is y = 1/3x + 1. Then you want to find the x and y that both work in the two equations.

y = 2x - 2

y = 1/3x + 1

Then you do 2x - 2 = 1/3x + 1

Then you do some maths and you get 9/5, and 8/5

Answer:

6

Step-by-step explanation:

if the 10% is equal to 3 then 20% is

10/3 = 20/x cross multiply

60 = 10x

6 = x

Answer:

6

Step-by-step explanation:

I think the answer is 6 because if 10%=3 and 10 is half of 20, then 3 is going to be half of 6.

Hope this helps!

Answer:

7 5/6

Step-by-step explanation:

Since you're a subtracting a negative, ti cancels each other out and ends up in addition. So it's 5 1/6+2 2/3. And to add fractions the denominators must be the same.

Thus, you multiple 2/3 * 2= 4/6. So 5+2=7.

And 1/6+4/6=5/6.

Therefore the answers is 7 5/6.

Answer:

(4,-2)

Step-by-step explanation:

Okay, I figured out the answer...

You need to use the [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{2}}[/tex] formula.

We know that AB is parallel to CD....(so whatever answer ad is, then cd will have that same answer).

We also know that AD is parallel to BC...(so whatever answer ad is, then bc will be the same).

So we need to find AB, CD, AD, BC. We have to do CD and BC later because we don't have the c.

Find AB: [tex]\frac{5-5}{6-(-7)}[/tex]= [tex]\frac{0}{13}[/tex]= 0

Find AD: [tex]\frac{-2-5}{-9-(-7)}[/tex] = [tex]\frac{-7}{-2}[/tex]

So now that we have the basic ones, we know that AB is parallel to CD. Therefore CD should have the same slope of 0/13 or 0. SO we need to find numbers that combine with the x and y of AB. When they do combine, they should give a fraction of 0/13.

Find CD: [tex]\frac{-2+2}{-9-4}[/tex] ( we already had the -2...what number adds to -2 to make it zero?...positive 2.....Then, we already had -9 from the D coordinates. So what # adds/subs to -9 to make it 13 or -13...well 4 does. Remember to put the correct signs (-+) in the equation. Our answer is 4,-2). If we had to use positive two, then we take the opposite for our answer. We used -4, so we take the opposite for our answer. Then later on, you can plug in (4,-2) into BC to see if you were to get the slope of -7/-2. which you do.

Answer:

B. 4

Step-by-step explanation:

Answer:It would be positive 44

Step-by-step explanation:

Answer:

-43

Step-by-step explanation:

Answer:

(- 1, 6 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = A(- 3, 5) and (x₂, y₂ ) = B(1, 7) , thus

midpoint = [ [tex]\frac{1}{2}[/tex] (- 3 + 1 ), [tex]\frac{1}{2}[/tex] (5 + 7) ] = (- 1, 6 )

Answer:

22

Step-by-step explanation:

6x-5x=1x

1x =22

Answer:

Option 1

Step-by-step explanation:

When you move the a2-2b to the other side of the equation, their signs change too.

Answer:

option 1 is correct..

Hope it helps

Answer:

i'm pretty sure its improper.

Step-by-step explanation:

:) I really hope this helps

Multiplying a listed price by the percent can get you the sales tax, and then you can add.

[tex]80*0.07=5.6[/tex]

(0.07 is 7% converted into a decimal)

[tex]80+5.6=85.60[/tex]

So the item is $85.60 after sales tax.

You may also notice that multiplying the listed price by 1.07 will get you the same answer, without the need to add the sales tax.

[tex]80*1.07=85.60[/tex]

Hope this helps.

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