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3 years ago

Solve the following system of equations for z and for y :

Mathematics

1 answer:

azamat3 years ago

4 0

Answer:

Value of z = 7

Value of y = 30

Step-by-step explanation:

We are given the following equations in the question:

$y = 9 + 3z\\y = 65 -5z$

We have to solve the given equation for y and z.

Equating the two equations we get,

$y = 9 + 3z\\y = 65 -5z\\9 + 3z = 65-5z\\3z + 5z = 65-9\\8z = 56\\\\z = 7\\y = 9+3(7) = 30$

Value of z = 7

Value of y = 30

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tony scored 22 and 25 points in the first two games of a basketball tournament. Tony's goal is to make the all-tournament team.

ad-work [718]

Tony's current scores are 22 and 25.
Let x = Tony's next score.

To make the lower required score of 27,
(x + 22 + 25)/3 = 27
x = 81 - 47 = 34

To make the upper required score of 32,
(x + 22 + 25)/3 = 32
x = 96 - 47 = 49

Answer:
Tony should score between 34 and 49

8 0

3 years ago

Read 2 more answers

NEED DONE ASAP!!

almond37 [142]

Answer:

A. 3x^2 + 4 = 52

3x^2 = 52 - 4

3x^2 = 48

x^2 = 48/3

x^2 = 16

x = $\sqrt{16}$

x = 4

B. x^2 - 121 = 0

x^2 = 121

x = $\sqrt{121}$

x = 11

C. (b + 4 )2 = 49

2b + 8 = 49

2b = 49 - 8

2b = 41

b = 41/2

3 0

3 years ago

A small business produces and sells balls. The fixed costs are $20 and each ball costs $4.32 to produce. Each ball sells for $8.

Gemiola [76]

Part 1:

Fixed Cost, f = $20

number of balls = n

Cost of each ball, c = 4.32

Price of each ball, p = 8.32

Equation for total cost:

Total Cost of balls will come by adding the cost of all balls and the fixed cost

Total Cost = number of balls made × Cost of each ball + fixed cost

C = 4.32n + 20

Equation for revenue:

Revenue = Number of balls made × price of each ball

R = 8.32n

Part 2:

Use the graphing method to determine how many balls must be sold to break even

Breakeven means Revenue = total Cost

This happens at a point (5,41.6) where n = 5 is the number of balls sold

and C = 41.6 is the total cost

When 5 balls are sold there will be breakeven

R = 4n - 20

C = 4.32n + 20

Red line represent Cost

Black line represent Revenue

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3 years ago

What happens to the graph f(x) = |x/, when f(x) is replaced by 0.3 f(x) +9

Elodia [21]

Answer:

Step-by-step explanation:

First, the graph is flattened, and secondly, the whole resulting graph is translated upward by 9 units.

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3 years ago

A cone and a sphere both have a radius of 1. If you fill the cone with liquid, and pour it into the sphere, it fits exactly. Wha

PtichkaEL [24]

Answer and Step-by-step explanation:

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