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agasfer [191]
3 years ago
6

Nathan is collecting aluminum cans for charity. One empty 355 ml can weighs about 17 g. It takes 59 cans to get about 1 kg of 10

0% recyclable aluminum.
Over one month, he collected 1978 cans.


What is the mass, in kilograms, of these cans?
Mathematics
1 answer:
Jlenok [28]3 years ago
3 0

Answer:

33.5 kg

Step-by-step explanation:

Each 59 cans are about 1 kg.

He collected 1978 cans.

How many times 59 cans did he collect?

1978/59 = 33.5

He collected 1978 cans which is 33.52 times 59 cans, so he collected 33.5 kg

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331 students went on a field trip. Six buses were filled and 7 student traveled in cars. How many students were in buses.
lilavasa [31]
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3 0
3 years ago
In the square pyramid shown below, the area of each triangle is 135 square meters and the area of the base is 324 square meters.
stepan [7]
Area of square base = 324 m²

Length of the square side = √324 = 18

The side of the square is the base of the triangle.

Area of triangle = (1/2)*base* height

135 = (1/2)*18* h

135 = 9h

135/9 = h

15 = h

height = 15 m


To get the height of the Pyramid, the height of the Triangle and half the length of the side of the square form a right angled triangle.

Hypotenus = 15
Half length of square = 18/2 = 9
Height of Pyramid = H

By Pythagoras' Theorem:

15² = H² + 9²

225 =H² + 81

 H² + 81 = 225

H²  = 225 - 81

H²  = 144          Take square root of both sides

H  = √144

H = 12

Height = 12 meters.

Option C.
3 0
3 years ago
What is 1+1x100 divided by 5
ANEK [815]

Answer:

21 is the answer

Step-by-step explanation:

1+1x100 divided by 5

8 0
4 years ago
Read 2 more answers
Use the table of values below to select the correct statement.
quester [9]

Answer:

Linear function with rate of change/growth = 2.5, which agrees with the fourth statement listed in the answers options.

Step-by-step explanation:

Notice that both columns of reported x and y values are increasing.

Then examine how the given x-values  increase:

-2, 2, 6, 10, 14  (in steps of 4 units)

and how their corresponding y-values increase:

-2, 8, 18, 28, 38  (in steps of 10 units)

therefore, if we do the rate of change for any pair (x_1,y_1) and (x_2,y_2), we get the following constant rate of change:

\frac{y_2-y_1}{x_2-x_1} = \frac{10}{4} =2.5

Given that this relationship is valid for any pair of (x,y) values. we conclude that the rate of increase is constant, and therefore we are in the presence of a linear function, whose rate of change is 2.5

8 0
3 years ago
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