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3 years ago

Solve x-5/y = z for y

Mathematics

1 answer:

kogti [31]3 years ago

5 0

Answer:

y=5x−z

Step-by-step explanation:

Step 1: Multiply both sides by y.

xy−5=yz

Step 2: Add -yz to both sides.

xy−5+−yz=yz+−yz

xy−yz−5=0

Step 3: Add 5 to both sides.

xy−yz−5+5=0+5

xy−yz=5

Step 4: Factor out variable y.

y(x−z)=5

Step 5: Divide both sides by x-z.

y(x−z)x−z=5x−z

y=5x−z

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$127975, $182875

Step-by-step explanation:

Let the salary in state A be x. Then, the salary in state B is x+54900.

$x+x+54900=310850 \\ \\ 2x=255950 \\ \\ x=127975 \\ \\ x+54900=182875$

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Evaluate each expression for the given values of the variable

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3 years ago

Complete the square to determine the minimum or maximum value of the function defined by the expression. −x2 + 18x − 99

Leya [2.2K]

Given the expression:
-x^2+18x-99
to solve by completing squares we proceed as follows:
-x^2+18x-99=0
this can be written as:
-x^2+18x=99
x^2-18x=-99.......i
but
c=(-b/2)²
Hence:
c=(-(-18)/2)²=81
adding 81 in both sides of i we get:
x^2-18x+81=-99+81
factorizing the quadratic we obtain:
(x-9)(x-9)=-18
thus
(x-9)²+18=0
the above takes the vertex form of :
y=(x-k)²+h
where (k,x) is the vertex:
the vertex of our expression is:
(9,18)
hence the maximum point is at (9,18)
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3 years ago

Read 2 more answers

Farmer Bob's daughter wanted to put carpet in her goats pen. The pen is 12 feet wide and 12 feet long. How many square feet of c

schepotkina [342]

Answer:

She would need 144 square feet of carpet.

Step-by-step explanation:

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6 0

3 years ago

At a market, a kiwi costs $1, and an apple costs $1.50. If Charlie bought 5 more apples than kiwis and spent $12.50, how many ap

shtirl [24]

Number of apples bought = 7 and Number of kiwis bought = 2

<h3><u>Solution:</u></h3>

Let "k" be the number of kiwi bought

Let "a" be the number of apples bought

At a market, a kiwi costs $1, and an apple costs $1.50

Cost of each kiwi = $ 1

Cost of each apple = $ 1.50

<em><u>If Charlie bought 5 more apples than kiwis and spent $12.50</u></em>

Apples bought = 5 + kiwis

a = 5 + k --------- eqn 1

<em><u>Also he spent $ 12.50</u></em>

Number of apples bought x Cost of each apple + number of kiwi bought x Cost of each kiwi = 12.50

$a \times 1.50 + k \times 1 = 12.50$

1.5a + k = 12.50 --------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "k"</u></em>

Substitute eqn 1 in eqn 2

1.5(5 + k) + k = 12.5

7.5 + 1.5k + k = 12.5

7.5 + 2.5k = 12.5

2.5k = 5

Therefore from eqn 1,

a = 5 + k = 5 + 2 = 7

<em><u>Summarizing the results:</u></em>

Number of apples bought = 7

Number of kiwis bought = 2

3 0

3 years ago

Solve x-5/y = z for y​

Solve x-5/y = z for y