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3 years ago

Round your answer to the nearest tenth of a cubic centimeter.

Mathematics

1 answer:

Zigmanuir [339]3 years ago

8 0

Answer:

22.1

Step-by-step explanation:

Because of it being a pyramid we must use the equation Bh1/2

B = L + W we assume that the base is a perfect square meaning all sides are the same length B = 4.8 + 4.8 = 9.6 then we multiply by the height

9.6 x 4.6 = 44.16 next you divide by 2 or multiply by .5

44.16/2 = 22.08 then finally rounding to the nearest tenth

making 22.1 cubic inches

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Amaka buys 4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils. If a pencil cost #8, how much does a ruler c

LekaFEV [45]

Answer: ruler cost $12

Step-by-step explanation:

step 1

Let cost of ruler be represented as r

and cost of pencil be represented as p

we were given that

4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils which is expressed as

4r + p = 2r+ 4p

and cost of pencil= $8

therefore

sTEP 2--- Solving

4r+ 8 = 2r+ 4 x8

4r+ 8 = 2r+ 32

4r - 2r= 32-8

2r= 24

r= 24/2 = r= $12

6 0

3 years ago

Pheonix ran 4.5 miles per hour for three fourths of an hour. How did Aliyah run today?

topjm [15]

Answer:

3.375 miles

Step-by-step explanation:

3/4 can be changes to 0.75. SO multiply 4.5 times 0.75 to get your answer

8 0

3 years ago

If Dora travels 612 miles in 9 hours what is her rate of speed in miles per hour?

KIM [24]

Answer:

68 miles per hour

Step-by-step explanation:

Divide 612 miles by 9 hours

6 0

3 years ago

How to find an equation for a line through two given points?

xz_007 [3.2K]

Answer:

The equation of the line is: $y = 0.6x + 0.6$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Two points:

We have these following two points in this exercise:

x = -6, y = -3, so (-6,-3)

x = 4, y = 3, so (4,3)

Finding the slope:

Given two points, the slope is given by the change in y divided by the change in x.

Change in y: 3 - (-3) = 3 + 3 = 6

Change in x: 4 - (-6) = 4 + 6 = 10

$m = \frac{6}{10} = 0.6$

Then

$y = 0.6x + b$

Finding b:

We replace one of the points in the equation to find b. I will use (4,3).

$y = 0.6x + b$

$3 = 0.6*4 + b$

$2.4 + b = 3$

$b = 0.6$

The equation of the line is: $y = 0.6x + 0.6$

4 0

3 years ago

During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall.

frez [133]

Answer:

Step-by-step explanation:

A manager gives gift cards to every 80th customer. On Saturday, 1210 customers entered, while on Sunday, 1814 customers entered. We are asked to find the number of people who received gift cards.

Consider Saturday:

(1) Probably the most efficient method is to divide 1210 by 80.

(The first gift card was given to the 80th person and 80/80=1. The second to the 160th person and 160/80=2. The third to the 240th person and 240/80=3, etc...)

So 1210 divided by 80 is 15 with a remainder of 10.

15 people received gift cards on Saturday.

(2) We could set up a linear inequality where the unknown x represents the number of people receiving gift cards. Then 80x<1210 and x<15.125 so x=15.

(3) You could just keep adding, perhaps in a table, until you got to the last person:

(# customers, # gift cards): (80,1), (160,2), (240,3)...(1120,14), (1200,15)

The answer will not change, but the manager can either start counting at zero again on Sunday, or continue from the previous day making the first person in on Sunday number 11.

Again we take 1814 divided by 80 to get 22 with a remainder of 54. (With the additional 10 from Saturday we would have remainder 64, but still not enough people to give out another card.)

15 cards given out Sat with 22 cards given out Sun means that there were a total of 15+22=37 people who received gift cards.

Sorry its alot

4 0

3 years ago

Read 2 more answers