MATHEMATICS HIGH SCHOOL

A map has a scale of 1 cm : 11.5 km. Two cities are 5.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?A. 74.8 km

B. 120.8 km

C. 68.8 km

D. 63.3 km

Answers

Answer 1
Answer:

The actual distance between the two cities corresponding to the mapdistance is 63.3 km. Then the correct option is D.

What is the distance?

Distance is defined as the length between the two points just like in the question it is the length between the two cities.

The length is calculated as:-

1 cm: 11.5 km

5.5 cm: 5.5 x 11.5 km

5.5 cm : 63.3 km

The distance between the two cities is 63.3 km.

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Answer 2
Answer:

Answer:

the answer is 63.3 km

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What is the square root of 100

Answers

The square root of 100 is basically: 10 × 10.

10 × 10 = 100, so the square root of 100 is 10.

Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.

Answers

Answer:

30/34

Step-by-step explanation:

Three consecutive intergers have a sum of 234. What are the three intergers

Answers

First thing you need to do is divide 234 by 3. Next, put your quotient in the middle of the other 2 numbers, which should be 1 less and 1 more than your quotient to the answer. Let me explain. 234 divided by 3= 78. Therefore, your answer is 77,78,79. (Integers are whole numbers above zero)
x+x+1+x+2=234
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Anna wants to celebrate her birthday by eating pizza with her friends. For \$42.50$42.50dollar sign, 42, point, 50 total, they can buy ppp boxes of pizza. Each box of pizza costs \$8.50$8.50dollar sign, 8, point, 50.

Answers

Answer: 5

Step-by-step explanation:

From the question, Anna has an amount of $42.50 to pay for pizza and each pizza costs $8.50. She wants to buy an unknown number of pizzas, that we are representing by p.

P= Total amount Anna has/cost of each pizza

P = $42.50/$8.50

P = 5

Anna can buy 5 pizzas

Answer:

5

Step-by-step explanation:

PLZ HELP ASAP2. One load of gravel contains 240 ft2 of gravel. The area A that the gravel will cover is inversely proportional to the depth of d to which the gravel is spread.
a. Write an inverse variation model for the relationship between the area and depth for one load of gravel.
b. A designer plans a playground with gravel 6 in. deep over the entire play area. If the play area is a rectangle 40 ft. wide and 24 ft long, how many loads of gravel will be needed? (4 points)

I understand everything else but this question.

Answers

Answer:

A. y= (z*240ft\n\n^(3) )/(x)

B. z= 2

Step-by-step explanation:

A.

The format for the inverse variation formula is y =  

This is a bit different compared to the format of directly variation formula y= kx

In this case, one load of gravel have 240 ft^(3)volume. The area is inversely proportional with depth, so formula for the volume is Area x Depth (V= A x D). The inverse variation formula will be: A= V/D

If the number of loads=z, each load is 240 ft^(3), area = y and depth = x , then the model will be:

y= (z*\nk)/(x)

y= (z*240ft\n\n^(3) )/(x)

B.

The play area is  a rectangle 40 ft wide and 24 ft long, then the area will be: area = 40ft * 24ft= 960 ft^(2)

We have area(y= 960 ft^(2)) and depth(x= 6 in- 0.5 ft) , now we can find out the number of loads needed(z) by using the equation.

y= (240ft*z\n\n^(3) )/(x)

960 ft^(2)= (z*240ft\n\n^(3) )/(x)

480 ft^(2) * z= 960 ft^(2)

z= (960ft^(2) )/(480ft^(2))= 2

I will mark you as brainliest:))

Answers

Answer:

(A)

Step-by-step explanation:

To find the range, you have to subtract the highest value from the list (85) from the lowest value (15) When you subtract these values you get 70, which is the range.

To find the mid-range, you add the highest value from the list (85) and the lowest value (15) When you add these values, you get 100. You then have to divide the sum of the highest and lowest value (100) by 2. When you divide the sum of the highest and lowest value by 2 you get 50, which is the mid-range.

Hope this helps!
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