Eight times the difference of a number and seventeen is thirty"?

Answers

Answer 1

Answer: Let the number be y;
8*(17-y)=30
8*17-8y=30
136-8y=30
-8y=30-136
-8y=-106
y=-106/=8
y=53/4

Answer 2

Answer: difference of a number and 17: x - 17
eight times that = 8(x - 17)
8(x - 17) = 30

divide both sides by 8
x - 17 = 30/8

x = 30/8 + 17 which is 20.75

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Solve the literal equation for y.

2x+5y = 3y+8

Answers

Answer:

y = -x +4

Step-by-step explanation:

2x+5y = 3y+8

Subtract 3y from each side

2x+5y-3y = 3y-3y+8

2x+2y = 8

Subtract 2x from each side

2x+2y -2x = -2x+8

2y = -2x+8

Divide by 2

2y/2 = -2x/2 +8/2

y = -x +4

your school sells tickets for its winter concert. Student tickets are $5 and adult tickets are $10. If your school sells 85 tickets and makes $600, how many of each ticket did they sell?

Answers

Let s be the number of student tickets and a be the number of adult tickets.
s + a = 85; a = 85 - s
Also,
5s + 10a = 600

Substituting a from the first equation
5s + 10(85 - s) = 600
-5s = -250
s = 50
a = 85 - 50 = 35
The school sold 50 student tickets and 35 adult tickets.

In the formula a2 + b2 = c2, what is the value of a2?

Answers

a^2 + b^2 = c^2 Moving b^2 to RHS a^2 = c^2 - b^2

$a^2+b^2=c^2\ \ \ \ |subtract\ b^2\ from\ both\ sides\n\na^2=c^2-b^2\n\n\boxed{a=√(c^2-b^2)}$

A closet contains 5 shirts, 8 skirts, and 3 pairs of shoes. How many possible outfit combinations are there?

Answers

actually the answer is 120, apex:)

Answer:

120 combos

Step-by-step explanation:

VOTE ME FOR BRAINILEST.

Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16, and the cost of the order was $52. What was the price of each cupcake?

Answers

Another way to think about this is... The total cost was $52. Subtracting out the cost of the layer cake ($16) leaves us with $36 to pay for the 24 cupcakes. This means that each cupcake must have cost $1.50 ( = $36 / 24 cupcakes ).

52=total
16= total price of layer cake

52
-16
------
36

36\24=1.50 each

Which of the following is the equation of a line that passes through the points (0,6) and (2,10)?A. y = -2x + 6
B. y = 2x - 6
C. y = 2x + 6
D. y = -2x - 6

Answers

Given:
(0,6) and (2,10)

a) y = -2x + 6 ; y = -2(2) + 6
y = -2(0) + 6 ; y = -4 + 6
y = 6 ; y = 2

b) y = 2x - 6
y = 2(0) - 6
y = -6

c) y = 2x + 6 ; y = 2(2) + 6
y = 2(0) + 6 ; y = 4 + 6
y = 6 ; y = 10 Choice C. is the correct equation.

Answer: option c!

Step-by-step explanation:

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Until a train is a safe distance from the station it must travel at 5 m/s. Once the train is on open track it can speed up to 45 m/s. If it takes a train 8 seconds to reach 45 m/s, what is the acceleration of the train? (Round your answer to the nearest whole number.)A) 4 m/s2 B) 5 m/s2 C) 6 m/s2 D) 7 m/s2

Find the ordered pair (j,k) that satisfies the equations 5j-42k=1 and 2k-j=3

3x+5+19x+11 help please