All categories

3 years ago

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.

You might be interested in

Find the output, hhh, when the input, ttt, is 353535.

kow [346]

9514 1404 393

Answer:

Step-by-step explanation:

Put the value where t is and do the arithmetic.

h = 50 -t/5

h = 50 -35/5 = 50 -7 = 43

The output, h, is 43 when the input is 35.

4 0

3 years ago

Please help me quickly!

Degger [83]

Answer:

√50

Step-by-step explanation:

Use Pythagorean Theorem: a^2+b^2=c^2

5^2+5^2=c^2

25+25=c^2

50=c^2

c=√50

3 0

3 years ago

Read 2 more answers

A 51-foot wire running from the top of a tent pole to the ground makes an angle of 58° with the ground. If the length of the ten

AfilCa [17]

Answer:

35.11 ft

Step-by-step explanation:

This given situation can be thought of as triangle $\triangle PQR$ where PQ is the length of pole.

PR is the length of rope.

and QR is the distance of bottom of pole to the point of fastening of rope to the ground.

And $\angle Q \neq 90^\circ$

Given that:

PQ = 44 ft

PR = 51 ft

$\angle R = 58^\circ$

To find:

Side QR = ?

Solution:

We can apply Sine Rule here to find the unknown side.

Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ$

Now,

$\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ$

Let us use the Sine rule again:

$\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft$

So, the answer is 35.11 ft.

3 0

3 years ago

One part of Clare’s job at an environmental awareness organization is to answer the phone to collect donations. The table shows

Arisa [49]

Answer:

One part of Clare’s job at an environmental awareness organization is to answer the phone to collect donations. The table shows the number of hours she worked each week, , and the amount of donations in dollars, , that the organization collected each week for 10 weeks.

Step-by-step explanation:

u.w.u

6 0

2 years ago

14 bands volunteered but 7 played. How many lineups?

ankoles [38]

Answer:

3432

Step-by-step explanation:

Total bands = 14

Bands played = 7

The possible lineups can be calculated using Combination.

So, the possible lineups are 14C7

=> $\frac{14!}{7!(14-7)!}$

=> 3432

8 0

3 years ago