Ask question

Ask question

All categories

3 years ago

8

A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number a

nd 9. Which equations represent the situation?
a)x+y=3 and x-3y=-27
b)x+y=3 and x-3y=-9
c)x-y=3 and x-3y=-27
d)x-y=3 and x-3y=-9

1 answer:

elixir [45]3 years ago

8 0

The answer for this question is b

You might be interested in

A car is 170 inches long. A truck is 75% longer than the car. How long is the truck? *please show an explanation*

Sav [38]

Answer:a

Step-by-step explanation:did

7 0

3 years ago

Which expression is equivalent to 2/3 (6x − 9y)?

k0ka [10]

Answer:

4x - 6y

Step-by-step explanation:

$\frac{2}{3} (6x - 9y) \\ \\ = \frac{2}{3} \times 6x -\frac{2}{3} \times 9y \\ \\ = 2 \times 2x - 2 \times 3y \\ \\ = 4x - 6y \\ is \: equivalent \: expression.$

7 0

3 years ago

A system of equations has infinitely many solutions. if 2y-4x=6 is one of the equations, which could be the other equations?

Romashka [77]

You have to do rearranging formulae to find that out so basically solve for x

8 0

3 years ago

I'll give brainliest to whoever answers first and is correct!!

Nina [5.8K]

Answer:

(a) $y=8x+5$

(b) 7 hours.

Step-by-step explanation:

(a) Let x be the number of hours and y is the total cost.

We have been given that Beatrice and her friends charge $8 per hour of babysitting, so the charges for x hours of babysitting will be 8x.

As they also charge a mandatory $5 per day fee for each child for snacks, so the total charges for babysit each day will be charges for x hours of babysitting plus mandatory charge.

We can represent this information in an equation as:

$y=8x+5$

Therefore, the equation $y=8x+5$ represents the total cost of using Beatrice’s babysitting service each day.

(b) To find the number of hours Beatrice babysit the daughter, we will substitute y = 61 in our equation and solve for x.

$61=8x+5$

Let us subtract 5 from both sides of our equation.

$61-5=8x+5-5$

$56=8x$

Let us divide both sides of our equation by 8.

$\frac{56}{8}=\frac{8x}{8}$

$7=x$

Therefore, Beatrice babysit 7 hours the daughter.

Expression for part c is missing.

6 0

3 years ago

What would be the equation containing the points (-8,-15),(-3,0),(2,15)

lys-0071 [83]

Answer:

$y=3x+9$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take the points

(-8,-15),(-3,0)

substitute in the formula

$m=\frac{0+15}{-3+8}$

$m=\frac{15}{5}$

$m=3$

step 2

Find the equation in point slope form

$y-y1=m(x-x1)$

we have

$m=3$

$point\ (-3,0)$

substitute

$y-0=3(x+3)$

step 3

Convert to slope intercept form

$y=mx+b$

$y-0=3(x+3)$

apply distributive property right side

$y=3x+9$

8 0

3 years ago