All categories

3 years ago

The ratio of two numbers is 7 to 5. The sum of the numbers is 24. What are the numbers?

Mathematics

1 answer:

Kipish [7]3 years ago

5 0

Answer:

14 and 10

Step-by-step explanation:

The ratio of the 2 numbers = 7x : 5x

The sum of the 2 numbers is 24, hence

7x + 5x = 24

12x = 24 ( divide both sides by 12 )

x = 2

7x = 7 × 2 = 14

5x = 5 × 2 = 10

Thus the numbers are 14 and 10

You might be interested in

Rewrite with only sin x and cos x. sin 3x

xeze [42]

$\bf sin({{ \alpha}} + {{ \beta}})=sin({{ \alpha}})cos({{ \beta}}) + cos({{ \alpha}})sin({{ \beta}})
\\\\\\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\
cos(2\theta)=
\begin{cases}
\boxed{cos^2(\theta)-sin^2(\theta)}\\
1-2sin^2(\theta)\\
2cos^2(\theta)-1
\end{cases}\\\\
-------------------------------\\\\
sin(3x)\implies sin(2x+x)\implies sin(2x)cos(x)+cos(2x)sin(x)$

$\bf 2sin(x)cos(x)cos(x)~+~[cos^2(x)-sin^2(x)]sin(x)
\\\\\\
\stackrel{like~terms}{\stackrel{\downarrow }{2sin(x)cos^2(x)}~~+~~\stackrel{\downarrow }{sin(x)cos^2(x)}}-sin^3(x)
\\\\\\
3sin(x)cos^2(x)-sin^3(x)$

8 0

3 years ago

T or F: If you consume more calories, you must decrease your physical activity to have energy

jarptica [38.1K]

Answer:

Step-by-step explanation:

When your losing weight after consuming more calories, you need to increase physical activity to increase the number of calories your body uses for energy.

8 0

2 years ago

Read 2 more answers

How to fing the area of trapizium

aleksklad [387]

Answer:

area = (1/2) · (p + q) · h

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

What is the answer to this question?

Shalnov [3]

The answer is (3+5i)-(2+i)

4 0

3 years ago

When the manager of Fantastic Furniture buys a sofa from a manufacturer, she uses a markup of 45% of her cost to set the selling

bulgar [2K]

Answer:

Selling price= $580

Step-by-step explanation:

eGiving the following information:

Buying price= $400

Mark-up percentage= 45% = 0.45

The manager applies a mark-up equivalent to 45% of the buying price. First, we need to determine how much is 45% of the cost.

Mark-up= buying price* Mark-up percentage

Mark-up= 400*0.45

Mark-up= $180

Now, the selling price:

Selling price= 400 + 180

Selling price= $580

4 0

3 years ago