25 POINTS!!!
A map of a town has no scale. You know that the distance between the post office and the park is 2 mi. On the map it is 2 in. Also, on the map you know the distance from the park to the school is 8 in. What is the actual distance in miles between the park and the school?
A. 0.5 mi.
B. 4 mi.
C. 8 mi.
D. 16 mi.

Answer:

C. j=2 and h=4

Step-by-step explanation:

Step 1: Create a system of equations for your problem based off what we know.

- we should know that the equation to find the perimeter of something is

[tex]P= 2l+2w[/tex] where P is the perimeter, l is the length, and w is the width.

- we know that the perimeter of Rectangle P is 20 inches and that the perimeter of Rectangle Q is 30

- we know the length and width of both rectangles

Using this information, lets set up our system.:

[tex]\left \{ {{20=2(j+4)+2h} \atop {30=2(3h)+2(j+1)}} \right.[/tex]

Step 2: Using the top equation we're going to try to solve for one of the variables. I chose to solve for variable j.

[tex]20=2(j+4)+2h[/tex]

Start by distributing 2 into j + 4.

[tex]20=2j+8+2h[/tex]

Now subtract 8 from both sides of the equation.

[tex]12=2j+2h[/tex]

Now isolate variable j by subtracting 2h from both sides of the equation.

[tex]12-2h=2j[/tex]

Now condense the equation into simple terms by dividing both sides by its GCF 2 then reorder to get j on the left.

[tex]j=6-h[/tex]

Step 3: Now that we solved for variable j we can now substitute j into one of our equations from the original system. I chose to use the bottom equation and chose to distribute it before substituting.

[tex]30=6h+2j+2[/tex]

Subtract two from both sides to isolate the variables

[tex]28=6h+2j[/tex]

Now we can plug j into our equation

[tex]28=6h+2(6-h)[/tex]

Step 4: Distribute 2 into 6-h

[tex]28=6h+12-2h[/tex]

Step 5: Combine like terms

[tex]28=4h+12[/tex]

Step 6: Subtract 12 from both sides of the equation

[tex]16=4h[/tex]

Step 7: Divide both sides by 4

[tex]4=h[/tex]

Now that we know that h=4 we can plug 4 into one of our earlier equations. I used j=6-h

[tex]j=6-4\\j=2[/tex]

Plug answers into either one of the original equations to check answer

Answer: 27

Step-by-step explanation: You have to divide. 814 divided by 31 is 26.2580645161, but you can round it to 27 so everyone can be on the bus, but with extra spaces

Answer:

27

Step-by-step explanation:

Answer:

158 in

Step-by-step explanation:

front/back faces: 8 * 3 = 24in

side faces: 8 * 5 = 40in

top/bottom faces: 3 * 5 = 15in

2 * (24 + 40 + 15) = 158in

Answer:

Answer: . Area of figure = area of squane + anea

of tringle =side * side + 1/2 xbagex height =7 * 7+

1/2 * 7 *

Approximately 8.47 cm² of the figure is painted green

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

To find the area painted green, we need to calculate the areas of the square and the triangle and then multiply by 14.2% (or 0.142).

The area of the square is simply the length of one side squared, so:

Area of square = (7 cm)² = 49 cm²

The area of the triangle is one-half the base times the height, so:

Area of triangle = (1/2)(7 cm)(3 cm) = 10.5 cm²

Therefore, the total area of the figure is the sum of the area of the square and the triangle:

Total area = 49 cm² + 10.5 cm² = 59.5 cm²

Finally, to find the area painted green, we multiply the total area by 14.2%:

Area painted green = 0.142 x 59.5 cm² ≈ 8.47 cm²

Therefore,

Approximately 8.47 cm² of the figure is painted green

Learn more about squares here:

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Answer:

c

Step-by-step explanation:

Answer:

15/7 = 2 1/7

16/6 = 2 4/6

12/5 = 2 2/5

48/7 = 6 6/7

Step-by-step explanation:

Answer:

It is [tex]\frac{1}{2}[/tex] (12 × 4) = 24

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] (base × height) = area of triangle

[tex]\frac{1}{2}[/tex] (12 × 4) = area

area = 24

Answer:

33 or 900

Step-by-step explanation:

10+18+5= 33

10x18x5=900

Answer: 70

Step-by-step explanation: math

Answer:

A. 20.86 square inches

Step-by-step explanation:

a)

We know that the formula for the area of a rectangle is Length x Height (A = LH).

Length (L) = 6 inches

Height (H) = 4 inches

So we incorporate our formula for the area of a rectangle into this situation:

Area (A) = 6 x 4

Area (A) = 24 in^2

b)

We know that the formula for the area of a circle is Pi x radius squared (A = πr^2).

Radius (r) = 1 inch

So we incorporate our formula for the area of a circle into this situation:

Area (A) = 3.14 x 1^2

Area (A) = 3.14 in^2

c)

We can see from the diagram that the shaded region come mainly from the rectangle.  So to find the area of the shaded part, we can simply subtract the area of the circle, from the area of the rectangle (Area of rectangle - Area of circle = Area of shaded region).

Area of rectangle = 24 in^2

Area of circle = 3.14 in^2

So we incorporate our formula for the area of the shaded part into this situation:

Area (A) = 24 in^2 - 3.14 in^2

Area (A) = 20.86 in^2

Answer:

A

Step-by-step explanation:

Find the area of rectangle Then of the circle then simply suntract.

Answer:

B interquartile range

Step-by-step explanation:

hope this helps:)

Answer:

B. interquartile range

Hope this helps! Please give brainlist!!

The mean of the ages of the men that are given will be 22.1.

It should be noted that mean simply means average. The mean of the men will be:

= (27 + 20 + 20 + 19 + 19 + 25 + 24 + 21 + 22 + 24) / 10

= 221/10

= 22.1

Therefore, the mean of the ages of the men that are given will be 22.1.

Learn more about mean on:

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Answer:

x by the box

D+22-x

Step-by-step explanation:

Answer:

[tex]7x + 4 = 5x + 16 \\ 7x - 2x = 16 - 4 \\ 5x = 12 \\ x = 2.4[/tex]

[tex] \\ y + 6 + (7x + 4) = 180 \\ y + 6 + 7 \times 2.4 + 4 = 180 \\ \\ y + 17 + 16.8 = 180 \\ y + 33.8 = 180 \\ y = 180 - 33.8 \\ y = 146.2[/tex]

Answer:

14

Step-by-step explanation:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

6+12+22+16 = 56

56/4 = 14

The mean is 14.

Answer:

-64 is the answer

The dot above the 4 is solid so 4 is part of the solution.

Answer: X ≥ 4

Answer:

96cm

Step-by-step explanation:

front/back triangles: (4 * 3) / 2 = 6cm

bottom rectangle: 4 * 7 = 28cm

side rectangle (left): 3 * 7 = 21cm

slanted rectangle: pythagoras - 3^2 + 4^2 = x^2

9 + 16 = x^2

25 = x^2

square root of 25 = 5

x = 5

7 * 5 = 35cm

6 * 2 + 28 + 21 + 35 = 96cm

Answer:

2334546

Step-by-step explanation:

the answers is 2/3 /4/2 and 5/6

Answer:

B (second equation down on left) is equal to B (equation 2 down on right)

C=F

D=A

A=C

This is incomprehensible, but I would be happy to help if you perhaps re-typed it :D

Answer:

(+6x,+5y)

Step-by-step explanation:

To me its simple math by dividing these 2 numbers you get the slope

sorry i cant help much but this is what i can do also be sure to use rise over run before dividing

have a nice day

Answer:

B = 10.4

TTETEEETETTET

Answer:

The answer is D) 60

Step-by-step explanation:

Answer:

54

2(lb+bh+lh).

Use this formula ^

Answer:

75 inches^3

Step-by-step explanation:

count units on each edge 5 units * 5 units * 3 units 5*5*3 is 75

Answer:

263.76

Step-by-step explanation:

2×3.14×3² + 2×3.14×2×11 = 263.76