All categories

2 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]2 years ago

4 0

24 and 8
24+8=32
24/8=3

Ymorist [56]2 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

On a blueprint, 1 inch = 5 feet. On the blueprint, the living room is 6.5 inches long. How long is the livining room

disa [49]

Answer:

32.5 feet

Step-by-step explanation:

Since 1 inch = 5 feet, we can muliply the measure of the living room by 5 to get our answer.

6.5 x 5 = 32.5

8 0

2 years ago

Read 2 more answers

Henry flies from Washington, DC, to Boston, MA. The first flight from Washington, DC, to New York City is one hour 12 minutes. T

Sunny_sXe [5.5K]

1:12 + 2:41 + 1:10 = 4 hours 63 mins
5 Hours and 3 Mins

5 0

3 years ago

If there are approximately 1.8 million cars in Vancouver and if each car travels an average of 17,500 kilometres in a year, how

Goryan [66]

Rates are used to measure a quantity over another.

The 1.8 million cars use $1.85 \times 10^{10}$ liters each year

Given

$Cars = 1.8\ million$

$d = 17500km$ --- distance

$r = 40miles/gallon$

First, we calculate the number (n) of gallons used by each car

$r = \frac{d}{n}$

Solve for n

$n = \frac{d}{r}$

So, we have:

$n = \frac{17500km}{40miles/gallon}$

$n = \frac{17500km}{40miles}gallon$

Convert miles to kilometers

$n = \frac{17500km}{40km \times 1.60934}gallon$

$n = \frac{17500km}{64.3738km}gallon$

$n = 271.85\ gallon$

The number of gallons (N), used by all the cars is:

$N = n \times cars$

$N = 271.85 \times 1.8\ million$

$N = 489330000$

Convert to liters

$N = 489330000 \times 3.78541L$

$N = 1852314675.3L$

In scientific notation to 2 decimal places, we have:

$N = 1.85 \times 10^{10}L$

Hence, the number of liters used is $1.85 \times 10^{10}$

Read more about distance and rates at:

brainly.com/question/24659604

4 0

3 years ago

A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i

lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

Two triangles are similar when they have equal angles and proportional sides

It should be noted that to apply Thales' Theorem, it is necessary to establish the two triangles are similar, that is, that they have the corresponding angles equal or that their sides are proportional to each other.

Now, if we measure the shadow of the flagpole and the shadow of the person, at the same moment, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where $H$ is the height of the flagpole, $h=6 ft$ is the height of the person, $A=5 ft$ is the length of the shadow of the flagpole and $a=1\frac{1}{2}=1.5 ft$ is the length of the shadow of the person.