What is the value of a in the equation 3a+b=54, when b=9

Answers

Answer 1

Answer: 3a + 9 = 54
Do the opposite operation on 9 so you can get the like terms one side.
3a = 45
Then divide 3 on both side to get the variable by itself.
a = 15

Answer 2

Answer:

fifteen

Step-by-step explanation:

Got it right on Edg

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Which statements are true about the graph of the function f(x) = x2 - 8x + 5? Select three options.The function in vertex form is f(x) = (x - 4)2 - 11.The vertex of the function is (-8,5).The axis of symmetry is x = 5.The y-intercept of the function is (0.5).The function crosses the x-axis twice
What is the difference between the smallest six digit whole number and the greatest four digit whole number

What is the equation of the line that passes through the point (-3, 0) and has a slope of -1/3?

Answers

Answer:

Y=-1/3x-1

Step-by-step explanation:

Y-0=-1/3(x+3)

All the people of a neighborhood pooled together and won the lottery they won 10,000,000 and each person got a 0.02 share. How much money did each person receive?

Answers

Answer:

500000000

Step-by-step explanation:

10000000 ÷ 0.02

A teacher is having three students take care of 28 goldfish during the summer. He gave some of them to Alaina. Then he gave twice as many Miguel. He gave twice as many to Kira as he gave to Miguel. How many fish did each student get?

Answers

Answer:

Alaina got 4, Miguel got 2(4) = 8 while Kira got 2(8) = 16

Step-by-step explanation:

Let the number he gave to Alaina be x. Now, we know he gave twice as many to Miguel. Amount received by Miguel is 2x.

He gave Kira 2 times what he gave Miguel, that is 2x * 2 = 4x

Addition of all these equals 28. We now get x

4x + 2x + x = 28

7x = 28

X = 28/7

x = 4

Alaina got 4, Miguel got 2(4) = 8 while Kira got 2(8) = 16

144 is the _ power of 12

Answers

Answer:

144 is the second power of 12

Step-by-step explanation:

Here, we want to get the power of 12 that 144 is

Mathematically;

144 = 12^2

What this mean is that we have to raise 12 to 2 to get 144

Thus, our answer is that 144 is the 2nd power of 12

Determine whether the vectors u and v are parallel, orthogonal, or neither.u = <10, 6>, v = <9, 5>

Answers

$\mathbf u\cdot\mathbf v=\|\mathbf u\|\|\mathbf v\|\cos\theta$

where $\theta$ is the angle between the vectors. You have

$10*9+6*5=√(10^2+6^2)√(9^2+5^2)\cos\theta\iff \cos\theta=(30)/(√(901))\implies \theta\approx1.909^\circ$

The vectors would be orthogonal if the dot product had been zero, but that's clearly not the case.

They would be parallel if the angle turned out to be $0^\circ$ or $180^\circ$ , but that's also not the case.

So the answer is neither.

Lisa gives child(x) and adult(y) haircuts in her salon. She charges $10 for a child and $40 for an adult haircut. Her goal is to make at least $1000 per week and work no more than 40 hours. The shaded region of the graph represents the possible combinations of adult and child haircuts that will allow her to meet her goal. If Lisa gives 60 child haircuts she must give _____ adult haircuts to meet her goal.A: 10

B: 15

C: 20

D: 25

Answers

Answer:D) 40 adult haircuts and no child haircuts

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