what is the answer to 10 + 6x = 2(3x – 5)

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Complete Question

Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour doing clerical work for his father's business. His goal is to earn at least $96 a week, but because of school, he does not want to work more than 15 hours each week.  Let b represent the number of hours Carson works in one week at the babysitting job, and let c represent the number of hours Carson works in one week at his father's business. Which inequalities represent the constraints on what Carson can earn and the number of hours he can work in one week? Select all that apply.  

A) b+c≤15

B) 6b+8c≤15

C) 6b+8c≥15

D) b+c≥96

E) 6b+8c≥96

F) 6b+8c≤96

Answer:

A) b + c ≤ 15

E) 6b + 8c ≥ 96

Step-by-step explanation:

Let b represent the number of hours he can work babysitting

Let c represent the number of hours he can work clerical work

We can derive 2 inequality equations

From the question, we are told:

He does not want to work more than 15 hours each week because of school

This means the maximum he wants to work is 15 hours, meaning he can work less than that. So we used the inequality less than or equal to Hence:

b + c ≤ 15...... Equation 1

He earns$6 per hour for baby sitting,and he earns $8 per hour doing clerical work for his father's business.His goal is to earn atleast $96 a week.

This means $96 is the least amount he wants to earn , meaning he can earn more than that. So we used the inequality greater than or equal to

Hence:

$6 × b +$8 × c ≥ $96

6b + 8c ≥ 96

Therefore, the two inequalities that represent the constraints on what Carson can earn and the number of hours he can work in one week:

A) b + c ≤ 15

E) 6b + 8c ≥ 96

Answer:

1/8

Step-by-step explanation:

divide 4 by 2 and keep the 1

Answer:

3,1/2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

√5 (6-4√3)

6√5 -4√3 ×√5

6√5 -4√15

Answer:

I got -12

Step-by-step explanation:

Answer:

The function is increasing when the slope is greater than zero and decreasing when the slope is less than zero.  Slope is (y2-y1)/(x2-x1) or the change in y divided by the change in x.

In this case the function is decreasing when x=[-8,-5) and when x=[4,8)

So in interval notation:  x=[-8,-5)U[4,8)

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

286.333

Step-by-step explanation:

Find it doing long division...

Answer: the first answer is 72

Step-by-step explanations

24x3=72

Answer:

2 is irrational

3/4 is rational

pi is irrational

last on is irrational

Step-by-step explanation:

Answer:

Step-by-step explanation:

This problem is on the mensuration of flat shapes.

given that the initial radius before Cody alerted the fire department is

10 ft

Then we can calculate the area of the fire as

Area= πr^2

Area=3.142*(10)^2

Area=3.142*100

Area=314.2ft^2

Also, given that the area of the circular fire has grown to 45401 square feet

let us solve for the radius first, then we can calculate the time taken since the radius was increasing by 2 ft/min

let the radius of the large fire be R

45401=πR^2

R^2=45401/3.142

R^2=14449.714

square both sides we have

R=√14449.714

R=120.2ft

The difference between the radius of the initial fire and the large fire is

R-r=120.2-10

    =110.2ft

Hence the time taken can be calculated as

time= 110.2/2

time=55.10min

Answer:

the answer is 3 !

Answer:

the is answer is 3.

Step-by-step explanation:

i hope this helps :).

Answer:

2/3 or Two Thirds

Step-by-step explanation:

Answer:

6 over 9 is the simplest term

Step-by-step explanation: 4+2over9 = 6 over 9

Answer:

the answer is 3.6

can you also please mark me as brainliest?

thanks

it would be 6 be cause 14 -8 is 6

Answer:

0.5 = the square root of 1/4

Step-by-step explanation:

√1/4 = 0.5

But, I don't know if

it would be positive or negative for you since you asked for -1/4.

Answer:

-1

Step-by-step explanation:

because 1/4 is just a whole number just put a negative single

Answer:

50feet

Step-by-step explanation:

0.5=5feet

5

5f×5/0.5=50 Feet

Answer:

hscuhfeehfjhjhfj

Step-by-step explanation:

ehfjehfjefhjefh

Answer:

120

Step-by-step explanation:

Answer:

15 feet

Step-by-step explanation:

A typical diagram has been shown.

Joel's hand touches the bottom of the pool, point A as shown, 12 feet below the surface of the water.

Todd's foot is at the diving platform, at point B as shown, 3 feet above the surface of the water.

Let S be the point on the surface of the water.

So, the vertical distance between Joel's hand and todd's feet

=AS+SB

=12+3

=15 feet.

8x + 7 = -25

=>  8x = -25 - 7 = -32

=> x = -32/8 = -4

Answer:

-4=x

Step-by-step explanation:

8x+7(-7)=-25(-7)

8x(/8)=-32(/8)

-4=x

Answer:

I'm thinking the answer is 76 but I could be wrong

Step-by-step explanation:

Answer:

the answer is 81

I know cause I'm smart U. U

Answer:

2(4c+5)

Step-by-step explanation:

Answer:

y=-4x+7

Step-by-step explanation:

Slope- intercept form is y=mx+b, insert the parts of the equation for the variables that are known.

Answer:

x = -7

x = -2

x = 3

Step-by-step explanation:

Answer:

150%

Step-by-step explanation:

4 * 1.5 = 6.

Answer:

104 units

Step-by-step explanation:

One key thing to note about a reflection is that side lengths and angle measures will always remain the same on the reflected figure. With that in mind, let's note the side lengths in both the original and reflected figures.

[tex]AB=\\BC=20\\CD=30\\AD=[/tex]

[tex]A'B'=22\\B'C'=\\C'D'=\\A'D'=32[/tex]

Remember, since side lengths are the same, let's fill in the missing values with the values of the side lengths given in each of the figures:

[tex]AB=22\\BC=20\\CD=30\\AD=32[/tex]

[tex]A'B'=22\\B'C'=20\\C'D'=30\\A'D'=32[/tex]

See? Notice how the values are the same! To find the perimeter ([tex]P[/tex]) of a quadrilateral, we have to add each side length:

[tex]P=22+20+30+32[/tex]

Solve:

[tex]P=104[/tex]

Answer:

Look at the dotted points  on the line in your graph. check their coordinates, for your ease i am attaching a picture, please have a look.

so the two coordinates we have is : ( 3 , 1 ) , (- 1 , - 5)

Now let's find the gradient from these two coordinates.

[tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }\\\\=\frac{1-(-5)}{3-(-1)}\\\\=\frac{6}{4}\\= 1.5[/tex]

Now we use the equation of a straight line and here , you can use any of the coordinates. For my ease, I am using the first one:

[tex]y-y_{1} = m (x-x_{1})\\ y- 1 = \frac{3}{2} (x-3)\\\\2y-2 = 3x - 9\\2y - 3x = -7[/tex]

Answer:

rate = 10 feet / 2.5 minutes

rate = 4 feet / minute

hope dat helps UwU

and welcome to brainly!!!