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stealth61 [152]
3 years ago
10

The ratio of two numbers is 7 to 5 the sum of the numbers is 24 what are the numbers

Mathematics
2 answers:
statuscvo [17]3 years ago
5 0
Answer:

The numbers are 14 and 10

Step-by-step explanation:

Let the numbers be

x:y=7:5

This implies that,

\frac{x}{y}=\frac{7}{5}

x=\frac{7}{5}y

The sum of the numbers is 24.

x+y=24...(2)

Put equation (1) in (2)

\frac{7}{5}y+y=24

\frac{12}{5}y=24

y=24\times \frac{5}{12}

y=10

x+10=24

x=14
Artemon [7]3 years ago
5 0

Answer:

The two numbers are 14 and 10

Step-by-step explanation:

It is given that, the ratio of two numbers is 7 to 5 the sum of the numbers is 24.

<u>To find the numbers</u>

Let 7x and 5x be the two numbers.

The sum of numbers = 24

7x + 5x = 24

12x = 24

x = 24/12 = 2

The numbers are 7x = 7 * 2 = 14  and 5

Therefore the numbers are 14 and 10

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sergij07 [2.7K]

Answer:

x<8

Step-by-step explanation:

x+7<15

x<15-7

x<8

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4 0
3 years ago
If you bent length 44 cm is bent into a circle find the radius of the circle?If the same wire is bent into the shape of a square
Tju [1.3M]

Answer:

r = 7 cm; l = 11cm

The circle encloses more area than the square

Step-by-step explanation:

(a) Radius of circle

The formula for the circumference of a circle is

A = 2πr

r = A/(2π)

Data:

C = 44 in

Calculation:

r = 44/(2 × 22/7)

   = 44/2 × 7/22

   =   2/2 × 7

   = 7 in

(b) Side of square

P = 4l

l =   P/4

  = 44/4

  = 11 in

(c) Areas

(i) Circle

A = πr²

  = 22/7 ×   7²

  = 22/7 × 49

  = 22    ×   7

  = 154 cm²

(ii) Square

A = l²

  = 11²

  = 121 cm²

The circle encloses more area than the square.

5 0
3 years ago
In a triangle, Angle B is twice as large as Angle A. Angle C is five more than
Leona [35]

Answer:

<A = 35 degrees

Step-by-step explanation:

<A = x

<B = 2x

<C = 2x + 5

X + 2x + 2x + 5 = 180 degrees

5x + 5 = 180

5x = 180 -5

x = 175/5

x = 35

4 0
3 years ago
At a certain bookstore, you get a $5 coupon for every 4 books you buy. What is the least number of books you could buy to get $1
zalisa [80]

Answer:

12books

Step-by-step explanation:

4 books → 1 $5 coupon

$15 coupon = $15 / $5 = 3times of $5 coupons

3 $5 coupons → 4 x 3 = 12 books

this is a topic on forming and solving equations. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting notes for many topics and will also be posting some tips :)

7 0
3 years ago
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Robert is traveling to Mexico for a family vacation. He is bringing 625 U.S. dollars with him. Robert needs to exchange his mone
Evgesh-ka [11]

Robert should get D. 8281.25 pesos in exchange.

Explanation:

  • Robert is bringing 625 U.S. dollars with him to Mexico. He needs to exchange the money he has with him to Mexico's currency i.e. from U.S. dollars to Mexican pesos.
  • The exchange rate is 13.25 Mexican pesos for each U.S. dollar. So                               1 U.S. dollar = 13.25 Mexican pesos.
  • So to calculate how much 625 U.S. dollars is in pesos we multiply 625 with the exchange rate i.e. 13.25 pesos                                                        625 U.S dollars = 625 × 13.25 = 8281.25 Mexican pesos.

7 0
3 years ago
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