MATHEMATICS MIDDLE SCHOOL

A map has a scale of 1 cm : 9 km. If two cities are 10 cm apart on the map, what is the actual distance between the cities, to the nearest tenth of a kilometer?

Answers

Answer 1
Answer: We can solve this problem by the rule of three:
1 cm-----------------9 Km
10 cm----------------  x

x=(10 cm * 9 km) / 1 cm=90.0 Km.

answer: 90.0 Km

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It takes 48,000 gallons of paint each year to paint a large bridge. Each of the 12 painting crews use the same amount of paint.How many gallons of paint does each crew use

Answers

very simple: 48000 divided by 12=4000
4000
x  12
------------
48000
each crew uses 4,000 gallons of paint. 48000 divided by 12 equals 4000

Segment AB has endpoints A(–4, 6) and B(1, 4). After a dilation, centered at the origin, the image of A is (–6, 9). Without measuring the distance, explain how you could find the image of B.

Answers

Answer:

see the explanation

Step-by-step explanation:

step 1

Find the scale factor of the dilation

Divide the x-coordinate or the y-coordinate of the image by the the x-coordinate or the y-coordinate of the pre-image

so

(-6)/(-4)=1.5

or

(9)/(6)=1.5

step 2

Multiply the coordinates of point B by the scale factor to obtain the image B'

B'(1.5*1,1.5*4)

B'(1.5,6)

Answer:

To find the image of B, first find the scale factor for the dilation. The scale factor should be greater than 1 because the image of A is farther from the origin than A. Divide the coordinates of the image of A by the coordinates of A: –6/–4 = 3/2 and 9/6 = 3/2, so the scale factor is 3/2. Now, apply the dilation to B by multiplying the coordinates by 3/2 to get ((3/2)(1), (3/2)(4)), or (3/2, 6).

Step-by-step explanation: its the sample response

Solve for L: S=2WL+2LH+2WH

Answers

Answer:

Step-by-step explanation:

S = 2WL + 2LH + 2WH

S - 2WH = 2WL + 2LH

S - 2WH = L(2W + 2H)

(S - 2WH) / (2W + 2H) = L <===

several students in Ashton 's class were randomly selected and asked how many text messages they sent yesterday. Their answers were 1 ,0 ,10 , 7 , 13, 2 , 9 ,15 ,0 , 3 .find the mean and the median for this data .

Answers

Mean is 6 because once you add up all the numbers it will be 60, and dividing that number by how many you have will give you 6

Median is 5 because once you place the numbers in order, 0, 0, 1, 2, 3, 7, 9, 10, 13, 15 the middle number in the set is between 3 and 7 and once you find the mean of the two you get 5
Mean: 6 ADD up all the numbers and then divide by 10. SO 60÷10=6. 
 Median: 5  Put them in order and find the middle number. In this case 3 and 7 are in the middle. SO add them up and divide by 2.     3 + 7 =10.

I really need help!!! It would mean a lot if someone could help me.

Answers

The y answers would be 11, 8, 5, 2, -1.

To find these parts of the table, we simply put the x value in for x and solve for y. The first two are done for you below.

WHEN x = -2

y = -3x + 5

y = -3(-2) + 5

y = 6 + 5

y = 11

WHEN x = -1

y = -3x + 5

y = -3(-1) + 5

y = 3 + 5

y = 8

-3(-2) +5=11

-3(-1) +5=8

-3(0) +5=5

-3(1) +5=2

-3(2) +5=-1

How tall is a triangle that is 10ft x 10 ft x 10ft?

Answers

Are you saying that all 3 sides of the triangle are equal, and are 10-ft each ?

In that case, if you set the triangle down on one of its sides,
the vertex at the top will be 5√3 = about 8.66-ft above the table.
Square root of 75 or 8.66 rounded. Use Pythagorean Theorem.
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