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cestrela7 [59]
3 years ago
15

What is the sum of two numbers is 32 and their quotient is 3 what is the answer?

Mathematics
2 answers:
Lera25 [3.4K]3 years ago
4 0
24 and 8
24+8=32
24/8=3
Ymorist [56]3 years ago
3 0

Answer:

The numbers are 24 and 8.

Step-by-step explanation:

1. Let´s name the numbers as follows:

x=first number

y=second number

2. As the sum of the two numbers is 32, you have the first equation:

x+y=32 (Eq.1)

3. As the quotient of the two numbers is 3, you have the second equation:

\frac{x}{y}=3 (Eq.2)

4. Solving for x on Eq.2:

x=3y (Eq.3)

5. Replacing Eq.3 in Eq.1:

3y+y=32\\4y=32\\y=\frac{32}{4}\\y=8

6. Replacing the value of y in Eq.3:

x=3(8)\\x=24

Therefore the numbers are 24 and 8.

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UkoKoshka [18]

Answer:

- 4\sqrt{2}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplify \sqrt{18} using this rule

\sqrt{18}

= \sqrt{9(2)}

= \sqrt{9} × \sqrt{2} = 3\sqrt{2}

Then

- 2\sqrt{18} + 2\sqrt{2}

= - 2(3\sqrt{2} ) + 2\sqrt{2}

= - 6\sqrt{2} + 2\sqrt{2}

= - 4\sqrt{2}

5 0
3 years ago
What is the volume of a hemisphere with a diameter of 56.7 in, rounded to the
Vlad1618 [11]

Answer:

Expert Verified

Step-by-step explanation:

the diameter is 57.2 in, then the radius is half that, or 28.6 in. The volume of a sphere is V = (4/3)πr³, and so the volume of this hemisphere is (2/3)πr³

6 0
3 years ago
(HELP ASAP PLEASE!!)
Doss [256]

Answer:

Each shirt cost $<u>7</u>  and each pair of shorts cost $<u>17</u> .

Step-by-step explanation:

let shirts be represented as x

let shorts be represented as y

Younger brother spent $79 on 4 new shirts and 3 pairs of shorts.

4 x + 3 y = $79    .......equation 1

Older brother purchased 7 new shirts and 8 pairs of shorts and paid a total of $185.

7 x + 8 y = $185  .......equation 2

multiply equation 1 by 7 and equation 2 by -4 and add both equations to get the value of y.

7 × (4 x + 3 y = $79)     ⇒             +28 x + 21 y = $553

-4 × (7 x + 8 y = $185)  ⇒             <u> -28 x - 32 y = - $740</u>

                                                          0   - 11 y   = - $187     ⇒  -11 y   = - $187

y = \frac{- $187}{- 11}   ⇒   y = $17

shorts = y = $17

put value of y in equation 1

4 x + 3 ( $17 ) = $79  ⇒    4x + $51 = $79   ⇒   4x = $79 - $51

4x = $28   ⇒  x = \frac{$28}{4}   ⇒   x = $7

Shirts = x = $7

8 0
3 years ago
How do I do this please help
Umnica [9.8K]

Answer:

wrong as his calculation was incorrect at initial level itself when he found the result of the division

Step-by-step explanation:

Andre said

3 ÷ \frac{2}{3}

=3 \times \frac{3}{2}

=\frac{3 \times 3}{2}

=\frac{9}{2}

but andre calculated it as

=4\tfrac{1}{3}

=\frac{4 \times 3 + 1}{3}

=\frac{13}{3}

Hence his calculation was incorrect at initial level itself

4 0
3 years ago
-12+x-34=60<br> If you like this question please rate this five stars!<br> Thank you!
natulia [17]

Answer:

x=106

Step-by-step explanation:

Let's solve your equation step-by-step.

−12+x−34=60

Step 1: Simplify both sides of the equation.

−12+x−34=60

−12+x+−34=60

(x)+(−12+−34)=60(Combine Like Terms)

x+−46=60

x−46=60

Step 2: Add 46 to both sides.

x−46+46=60+46

x=106

8 0
3 years ago
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