Ask question

Ask question

All categories

2 years ago

15

One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers.

1 answer:

OLEGan [10]2 years ago

8 0

Answer:

The numbers are 11 and 49.

Step-by-step explanation:

<em>x = 5y - 6 </em> This is just the first sentence written as an equation.

<em>x + y = 60</em> This is just the second sentence written as an equation.

<em>5y - 6 + y = 60</em> Substitute x for what you know it is equal to

<em>6y - 6 = 60</em> Collect like terms

<em>6y = 66</em> Add 6 to each side

<em>y = 11</em> Divide each side by 6

<em>x = 5 × 11 - 6 </em> Substitute y for what you know it is

<em>x = 55 - 6</em> Simplify by working out 5 × 11 = 55

<em>x = 49</em> Subtract 6 from 55 to get 49

You might be interested in

Directions:Use the product rule to simplify the following monomials.

nadezda [96]

Answer: $-12m^3n^3$

Step-by-step explanation:

$\frac{1}{4}\left(8mn\right)\left(-6m^2n^2\right)$

$=-\frac{1}{4}\cdot \:8mn\cdot \:6m^2n^2$

$=-\frac{1}{4}\cdot \:48mnm^2n^2$

$=-\frac{1}{4}\cdot \:48m^3nn^2$

$-\frac{1}{4}\cdot \:48m^3n^3$

$=-12m^3n^3$

6 0

3 years ago

Simplify,<br> Rewrite the expression in the form 2n.<br> 2.2.2.2.2.2.2.2<br> 2.2.2.2

Nastasia [14]

Answer: 8/4

Step-by-step explanation: if I’m wrong just watch the video for a hint it helps

6 0

2 years ago

Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1)

Airida [17]

Answer:

Step-by-step explanation:

The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is $-\frac{1}{3}$ , then the slope of the line perpendicular is $3$ .

Knowing this, we can start to construct the equation for the line:

$y = mx + b$

$y = 3x + b$

To solve for $b$ , we plug in the coordinates of the point that we know the line runs through, $(2, 1)$ :

$y = 3x + b$

$1 = 3(2) + b$

$1 = 6 + b$

$b = -5$

Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

$y = 3x - 5$

5 0

3 years ago

Ray PT is the angle bisector of angle RPS. Find the measure of angle RPS.

nikdorinn [45]

Answer:

m∠RPS = 38°.

Step-by-step explanation:

It is given that ray PT is the angle bisector of angle RPS. It means PT divides the angle RPS in two equal parts.

$m\angle RPT=m\angle TPS=19^{\circ}$

Now, it is clear that

$m\angle RPS=m\angle RPT+m\angle TPS$

$m\angle RPS=19^{\circ}+19^{\circ}$

$m\angle RPS=38^{\circ}$

Therefore, the measure of angle RPS is 38°.

3 0

3 years ago

36/3 in simplest form

AveGali [126]

Answer:12/1

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers