Ask question

Ask question

All categories

3 years ago

14

The sum of two numbers is 32. The difference between the numbers is 8. Write a system of equations to represent this situation.

Then solve the system of equations by substitution. Explain what the solution means

1 answer:

zalisa [80]3 years ago

7 0

$Let\: x,y\: (x>y>0) \: be \: the \: two \: numbers.\\We \: have \: an \: equality:\\\begin{cases} x + y = 32\\x - y = 8 \end{cases}\\ \Leftrightarrow \begin{cases} 2x = 40\\y = x - 8 \end{cases} \\ \Leftrightarrow \begin{cases} x = 20\\y = 20 - 8 = 12 \end{cases} \\ \Rightarrow The \: two \: numbers \: are \: 2 0 \: and \: 12$

You might be interested in

a boat is traveling at an average speed of 15 meters per second. how many kilometers per minute is the boat traveling?

lukranit [14]

We know that 1 meter is 0.001 km and that 1 minute is 60 seconds.
To transform 15m/s we into km/min we have to multiply 15 by 0.001 and multiply it by 60.
$15*0.001*60=0.0015*60=0.09 km/min$ - its the answer

4 0

3 years ago

Read 2 more answers

Three students have already enrolled for a creative writing class. The teacher will cancel the class if there are fewer than 10

JulijaS [17]

Answer:

7, 10 and 15

Step-by-step explanation:

Given

$S_1= 3$ --- Students already enrolled

$Total = 10\ (less)$

Required

Determine the additional number of students needed for the teacher not to cancel the class

First, we need to calculate the number of students for the teacher to cancel the class.

Represent this with x.

So, we have:

$S_1 + x < Total$

Make x the subject

$x < Total - S_1$

Substitute values for Total and S1

$x < 10 - 3$

$x < 7$

This means that if less than 7 additional students come to the class, the teacher will cancel the class.

So, for the teacher not to cancel the class, the students must be 7 or greater (i.e. 7, 8, 9, 10....)

7 0

3 years ago

Calcola el 28% de 375

Zina [86]

Answer:

Suponiendo que te refieres a calcular el 28% de 375, tu respuesta es 105.

Step-by-step explanation:

$\frac{y}{375} :\frac{28}{100}$

y · 100 = 28 · 375

100y = 10500

100y ÷ 100 = 10500 ÷ 100

y = 105

5 0

3 years ago

Write the vertex form of the equation of the parabola that has a vertex of (-6,-5) and passes through the point (-8,6)

Anastaziya [24]

Answer:

Step-by-step explanation:

Find the parabola through ( − 8 , 6 ) with vertex ( − 6 , -5 ) .

Standard Form: y = − 11 /4x ²− 44 x − 170

Vertex Form: y = − 11 /4 ( x + 8 ) 2 + 6

<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> docx </span>

<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> docx </span>

7 0

3 years ago

Air Jordans cost the Nike Corporation $25 to manufacture in a factory.

Zina [86]

Answer:

n4ur84234r

Step-by-step explanation:

3874rfbh dc

6 0

3 years ago