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Firlakuza [10]
3 years ago
10

A teacher has 84 books in her classroom The ratio of fiction to nonfiction is 4:3 how many of each type of book does she have?

Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
4 0
The teacher has 48 fiction books and 36 non-fiction books.

1) 4*12=48  3*12=36
2) 48+36=84
3)4:3 = 48:36
aksik [14]3 years ago
4 0
Since the ratio is 4:3, you can set the equation 7x = 84
and 4x = fiction, 3x = nonfiction.
x=12

so there are 48 fiction and 36 nonfiction


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algol [13]

Answer:

i cant see it :(

Step-by-step explanation:

7 0
3 years ago
A metalworker has a metal alloy that is 30?% copper and another alloy that is 55?% copper. How many kilograms of each alloy shou
Sati [7]

Answer:

18 kilograms of 30% copper alloy is mixed with 72 kilograms of 55% copper alloy to makes  90 kg of a 50% copper alloy .

Step-by-step explanation:

Let us assume that the kilogram of 30% copper used to make alloy be x .

Let us assume that the kilogram of 55% copper used to make alloy be y .

As given

A metalworker has a metal alloy that is 30% copper and another alloy that is 55% copper.

The metalworker combine to create 90 kg of a 50% copper alloy .

Equation becomes

x  + y = 90

30% is written in the decimal form .

= \frac{30}{100}

= 0.30

55% is written in the decimal form .

= \frac{55}{100}

= 0.55

50% is written in the decimal form .

= \frac{50}{100}

= 0.50

Equation becomes

Concentration of 30% copper alloy × Number of kilograms of 30% copper alloy used + Concentration of 55% copper alloy × Number of kilograms of 55% copper alloy used = Concentration of 50% copper alloy × Number of kilograms of 50% copper alloy .

0.30x + 0.55y = 0.50 × 90

Simplify the above equation

\frac{30x}{100} + \frac{55y}{100} = \frac{90\times 50}{100}

30x + 55y = 4500

Two equation becomes

x  + y = 90

30x + 55y = 4500

Multiply x  + y = 90 by 30 and subtracted form 30x + 55y = 4500 .

30x - 30x + 55y - 30y = 4500 - 2700

25y = 1800

y = \frac{1800}{25}

y = 72 kilograms

Putting the value of y in the equation .

x  + 72 = 90

x = 90 - 72

x = 18 kilograms

Therefore 18 kilograms of 30% copper alloy is mixed with 72 kilograms of 55% copper alloy to makes  90 kg of a 50% copper alloy .

4 0
3 years ago
Anya graphed the line (y−2)=3(x−1) on the coordinate grid.
aliya0001 [1]

The slope of Anya’s line on the graph is 3

<h3>How to determine the slope of the line?</h3>

The equation is given as:

(y−2)=3(x−1)

Remove brackets

y − 2 = 3x − 3

Add 2 to both sides

y = 3x − 1

A linear equation is represented as:

y = mx + c

Where m represents the slope;

By comparison, m = 3

Hence, the slope of Anya’s line is 3

Read more about slope at:

brainly.com/question/1884491

#SPJ1

5 0
2 years ago
Read 2 more answers
What is 3/5 times 6/5
Angelina_Jolie [31]

Answer is 0:72

hope it is helpful

6 0
3 years ago
Read 2 more answers
Please help. I will give brainliest(:
Tanzania [10]
Distribute the -4. Then combine like terms.

24 - 4(5y - 6z) + 3y - 7z =

= 24 - 20y + 24z + 3y - 7z

= - 20y + 3y + 24z - 7z + 24

= -17y + 17z + 24
7 0
3 years ago
Read 2 more answers
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