The scale of a map is 1 inch = 25 miles. On the map, the distance between two cities is 5.25 inches. What is
the actual distance in miles?
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Answer:

Blank 1) 2 1/3 yards : 7 Feet

Blank 2) 1 yards : 3 Feet

Blank 3) 2 yards : 6 Feet

Blank 4) 1.5 yards : 4.5 Feet

Therefore, the constant of proportionality is: k = 3

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

Here, k is the constant of proportionality.

From the table, taking the first two points to determine the constant of proportionality.

Yards                Feet

1/2                       1.5

1/3                        1

Using the equation

substituting y = 1.5 and x = 1/2

y = kx

k = y/x

k = (1.5) / (1/2)

k = 1.5 / 0.5

k = 3

also substituting  y = 1 and x = 1/3

k = y/x

k = 1 / (1/3)

k = 3

As the constant of proportionality is the same.

Determining Blank 1

Yards = x = 2 1/3 = 7/3

y = blank 1 = Feet ?

k = 3

Using the equation

y = kx

blank 1 = Feet = y = 3 (7/3)

blank 1 = Feet = y = 7

In other words,

When Yards = 2 1/3, then Feet = 7

Determining Blank 2

Feet = y = 3

Blank 2 = x = yards ?

k = 3

Using the equation

y = kx

Blank 2 = x = yards =  y/k    

Blank 2  = x = yards = 3/3

Blank 2 = x = yards = 1

In other words,

When Yards = 1, then Feet = 3

Determining Blank 3

yards = x = 2

Blank 3 = y = Feet ?

k = 3

Using the equation

y = kx

y = Blank 3 = Feet = 3(2)

y = Blank 3 = Feet = 6

In other words,

When Yards = 2, then Feet = 6

Determining Blank 4

Feet = y = 4.5

Blank 4 = x = Yards ?

k = 3

Using the equation

y = kx

x = Blank 4 = y/k

x = Blank 4 = 4.5/3

x = Blank 4 = 1.5

In other words,

When Yards = 1.5, then Feet = 4.5

Summary:

Blank 1) 2 1/3 yards : 7 Feet

Blank 2) 1 yards : 3 Feet

Blank 3) 2 yards : 6 Feet

Blank 4) 1.5 yards : 4.5 Feet

Therefore, the constant of proportionality is: k = 3

Answer: 8/10 × 3/100

3/100 × 8/10

Step-by-step explanation:

To be able to solve this question, we need to convert the decimals to Fractions. After they've bee converted to Fractions, we can then look at the options given and see the correct option.

0.8 will be 8/10 when converted to a fraction while 0.03 will be 3/100. Therefore, the correct option will be:

= 8/10 × 3/100 or 3/100 × 8/10.

Therefore, options B and E are correct.

Answer:

Step-by-step explanation:

ace

Click on the photo to view full solution

Answer:

well you do 1 divided by 2 which is 0.5

Step-by-step explanation:

Answer: [tex]\frac{1}{4}[/tex][tex]a^{2}[/tex][tex]b^{4}[/tex]

Answer:

Step-by-step explanation:

Step one:

given data

let long sleeve shirts be x

and short sleeve shirts be y

Long sleeve shirt sell for $12

short sleeve shirts are $2 less= 12-2= $10

They sell 606 shirts

x+y=606--------1

total cost of the shirts =$6,778.

12x+10y=6778-------------2

therefore the systems of equation for the situation si

x+y=606--------1

12x+10y=6778-------------2

from eqn 1, x=606-y

put x=606-y in eqn 2. we have

12(606-y)+10y=6778

7272-12y+10y=6778

solve for y

-2y=6778-7272

-2y=-494

2y=494

divide both sides by 2

y=4944/2

y=247

put y= 247 in eqn 1

x+247=606

x=606-247

x=359

Hence, 359 long sleeve shirts were sold?

Answer:

What Line? it doesnt touch the x or y axis.

Step-by-step explanation:

Answer:

[tex]y = \frac{3}{5} + x[/tex]

Step-by-step explanation:

Given

Represent Mai's distance as x and Clare's distance as y

[tex]Mai = x\ miles[/tex]

[tex]C = \frac{3}{5}[/tex] farther than Mai

Required

Determine the relationship between both

[tex]C = \frac{3}{5}[/tex] farther than Mai

Substitute x for Mai

[tex]C = \frac{3}{5}[/tex] farther than x

Express as a mathematical expression:

[tex]C = \frac{3}{5} + x[/tex]

Recall that Clare's distance is represented by y.

So, we have:

[tex]y = \frac{3}{5} + x[/tex]

Hence, the relationship is: [tex]y = \frac{3}{5} + x[/tex]

Answer: Mai skated x miles, and Clare skated 3/5 farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).

Step-by-step explanation:

Answer:

I suggest you use Socratic, it solves questions like this.

Step-by-step explanation:

Answer:

$8 per pound

Step-by-step explanation:

40 ÷ 5 = 8

$40 per 5 pound= 8

$8 per 1 pound = 8

Answer:

$17.48

Step-by-step explanation:

^^^^^^^^^^^^^

Answer:

Step-by-step explanation:

2x + 2y = 6

-2x + 4y = 24

6y = 30

y = 5

10 - x = 12

-x = 2

x = -2

(-2, 5)

Answer:

Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Given:

4x + y = 4 (1)

2x + 6y = 24 (2)

Multiply the second equation by −2 to get −4x − 12y = −48.

4x + y = 4 (1)

−4x − 12y = −48 (3)

Variable x can be eliminated by adding the equations

4x + (-4x) + y + (-12y) = 4 + (-48)

4x - 4x + y - 12y = 4 - 48

0 - 11y = -44

-11y = -44

Divide both sides by -11

y = -44/-11

= 4

y = 4

Answer: Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Answer: 20+2x=y

Step-by-step explanation:

Answer:

Maybe if you could be a bit clear with what you need help with? are you struggling with plotting the points? are stuck on the equation that was given? and do you understand slope intercept form?

I can help you with the equation since that's not the full equation:

-2y = -x + 10

so you divide the -2 and then also divide it on the other side

-2y = -x + 10

-2         -2

cross out the -2's on the left side but do not cross out the y since you will need that. Then divide the numbers so:

 -1 % -2 is 0.5 but we don't use decimals in our equation so just put

-1/-2x

then do 10 % -2 and you should get -5

so put the equation together:

y = -1/-2x - 5

(Is that all or do you need help with anything else?)

Answer: 8y -3

Step-by-step explanation:

3(2y -1) + 2y

6y -3 + 2y

8y -3

Answer:

8 y - 3

Step-by-step explanation - I got it from google so its right 100%

Answer:

-2.5

Step-by-step explanation:

-2.5 < 1.5

Answer:

1.5

Step-by-step explanation:

because it is basic decimals 1.5 would be 15 while 2.5 will be 25

ummm [tex]6\frac{1}{8}[/tex] aha-

Answer:

9.99997550221

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Dimension of piece of wood = 3 ft

Dimension of piece of wood used for one statue = [tex]\frac{1}{6}[/tex] ft

To find:

Number of statues that can be made from all the wood ?

Solution:

To find the total number of statues that can be carved from the given piece of wood, we need to divide the dimensions of given piece of wood with the piece required to carve one statue.

Formula:

[tex]\dfrac{a}{\frac{b}{c}} = \dfrac{a\times c}{b}[/tex]

Number of statues that can be made:

[tex]\dfrac{3}{\frac{1}{6}}\\\Rightarrow \dfrac{3\times 6}{1}\\\Rightarrow \bold{18}[/tex]

Therefore, 18 number of statues can be made.

Answer:

47.86%

Step-by-step explanation:

Total number of seats in a movie theater Before a renovation = 117

Total number of seats in a movie theater after a renovation = 173

We need to find the percentage increase of the number of seats. It can be calcualted as :

[tex]\%=\dfrac{\text{|final number-initial number|}}{\text{initial number}}\times 100\\\\=\dfrac{173-117}{117}\times 100\\\\=47.86\%[/tex]

So, the increase in percentage is 47.86%.

Answer:

Slope: ¼, y-intercept: -⅓

Step-by-step explanation:

We know that slope-intercept is y=mx+b. We also know that m is the slope, b is the y intercept, y is y, and x is x. As we can see, the equation is y = ¼x - ⅓. Since it is minus ⅓, not plus ⅓, that means the y-intercept is negative. Now we know that the y-intercept is -⅓. Now, let's identify the slope. The slope is ¼, because it is the number next to x (y=mx+b). Now that we know this, we have our answer! The slope is ¼, and the y-intercept is -⅓! I hope this helps!

Answer:

7n - 10

5n - 3 + 2n - 7

(distribute the negative sign throughout the equation) (then just combine like terms)

Let's solve your inequality step-by-step.

h−(−2)≥10

Step 1: Simplify both sides of the inequality.

h+2≥10

Step 2: Subtract 2 from both sides.

h+2−2≥10−2

h≥8

Answer:

h≥8

(Pls mark brainliest)

The solution to the inequality h  -(-2)  ≥  10  is  h  ≥   8

The given inequality is:

h  -(-2)  ≥  10

Simplify the left hand side

h  +  2  ≥  10

Subtract 2 from both sides of the inequality

h  +  2  -  2  ≥  10  -  2

h    ≥   8

The solution to the inequality h  -(-2)  ≥  10  is  h  ≥   8

Learn more here: https://brainly.com/question/17448505

Answer:

A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].

Step-by-step explanation:

A rational expression has a nonpermissible value when for a given value of [tex]x[/tex], the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:

[tex]f(x) = \frac{p(x)}{q(x)}[/tex] (1)

Then, the factorized form of [tex]q(x)[/tex] must be:

[tex]q(x) = x\cdot (x-17)[/tex] (2)

If we know that [tex]p(x) = 4[/tex], then the rational expression is:

[tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex] (3)

A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].

Answer:

The area of the circle is":

A = 1017.36 in²

The circumference of the circle is:

C = 113.09 in

Step-by-step explanation:

Given

r = 18 in

We need to determine the area and circumference of the circle

Using the formula to determine the area

A = πr²

   = 3.14 × (18)²

   = 3.14 × 324

   = 1017.36 in²  (Rounded to the nearest 0.01 or  the Hundredths Place)

Thus, the area of the circle is":

A = 1017.36 in²

Using the formula to determine the circumference.

C=2πr

  = 2 × 3.14  ×  18

  = 113.09 in

Thus, the circumference of the circle is:

C = 113.09 in

Answer:

Get the data from the table:

Median is the middle number:

Mean is the average:

Rachel and Sarah spent:

Answer:

3 2/3

Step-by-step explanation: