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2 years ago

A bookcase has a mass of 20 kilograms. A book in the bookcase has a mass of 500 grams.

Mathematics

1 answer:

dimaraw [331]2 years ago

6 0

Answer:

Step-by-step explanation:

Remark

You have to convert one of the numbers. It doesn't matter which one, but you can't simply divide one into the other the way the numbers stand.

Conversion

20 kilograms = 20 * 1000 grams / kg

20 kilograms = 20000 grams

Formula

Number of books = mass of bookcase / mass of 1 book

Givens

number of books = ??

mass of bookcase = 20000 grams

mass of one book = 500 grams

Solution

number of books = 20000 / 500

number of books = 40

Answer: 40 books = mass of bookcase

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Phil and Matt made a total of $72.00 selling the cookies. How many cookies

marshall27 [118]

Answer:

Step-by-step explanation:

It would only be 36 if they split the amount though

5 0

3 years ago

Follow the directions to solve the system of equations by elimination. 8x + 7y=39 4x – 14y = -68

harina [27]

Step-by-step explanation:

Hey there!

Here;

The equations are;

$8x + 7y = 39.......(i)$

$4x - 14y = - 68..........(ii)$

Multiplying equation (i) by 2.

16x + 14y = 78

4x - 14y = -68

20x = 10

$x = \frac{10}{20}$

x = 1/2.

Putting value of 'x' in equation (i).

$8 \times \frac{1}{2} + 7y = 39$

$4 + 7y = 39$

$7y = 3 9 - 4$

$y = \frac{35}{7}$

Therefore the value of y is 5.

Check:

Put value of x and y in equation (i).

8x + 7y = 39

$8 \times \frac{1}{2} + 7 \times 5 = 39$

$4 + 35 = 39$

$39 = 39$

(True).

Therefore, the solution is ; (1/2,5).

Hope it helps...

8 0

3 years ago

Find the slope of the line through each pair of points (11, 18) (20, 12)

JulijaS [17]

Answer:

2/3

Step-by-step explanation:

We can find the slope by using the slope formula

m = ( y2-y1)/(x2-x1)

= ( 12-18)/(20 -11)

= -6/-9

= 2/3

3 0

3 years ago

A consumer testing service tested whether the average baking time of whole wheat bread in gas ovens was less than the average ba

vichka [17]

Answer:

Part 1) The explanatory variable is the type of oven

It is a categorical variable

Part 2) The response variable is the baking time

It is a quantitative variable

part 3) two-sample z-test for proportions should be used for the test

Step-by-step explanation:

An explanatory variable is an independent variable that is not affected by all other variables. In this experiment, the type of oven is the input variable and it is not affected by any other variable

A categorical variable is one that has two or more categories without any intrinsic ordering of the categories. The type of oven is either gas or electric, so it is categorical.

A response variable is a dependent variable whose variation depends on other variables. The baking time in this experiment depends on the type of oven used

A quantitative variable is one that take on numerical values.

A two proportion z-test allows you to compare two proportions to see if they are the same. The null hypothesis (H0) for the test is that the proportions are the same. The alternate hypothesis (H1) is that the proportions are not the same.

5 0

3 years ago

Pythagorean theorem a=7 and c=14. Can you explain how to find b?

nikdorinn [45]

Answer:

c squared - a squared = b squared

Step-by-step explanation:

Since a squared + b squared = c squared

With these values it would equal 14 squared - 7 squared = c squared

Then after you find c squared, find the square root of it and there you have go your answer!

8 0

3 years ago