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expeople1 [14]
4 years ago
11

2/3 -4 x + 7/2 = -9x + 5/6

Mathematics
1 answer:
antoniya [11.8K]4 years ago
8 0

Answer:

x= -2/3

Step-by-step explanation:

Add fractions (2/3, 7/2) 2/3+7/2=25/6

Move variable

Move constant

Collect like terms (-4x, 9x) -4x+9x=5x

Subtract the fractions 5/6-25/6=-10/3

Divide 5x=-2/3     x=-2/3

I'm not exactly sure how you want me to explain the answer but I hope that simplified answer helps.

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Solve for z.<br> -4z+1 = bz+c
blagie [28]

Answer:

\large\boxed{z=\dfrac{1-c}{4+b}}

Step-by-step explanation:

-4z+1=bz+c\qquad\text{subtract 1 from both sides}\\\\-4z=bz+c-1\qquad\text{subtract}\ bz\ \text{from both sides}\\\\-4z-bz=c-1\qquad\text{change the signs}\\\\4z+bz=1-c\qquad\text{distribute}\\\\(4+b)z=1-c\qquad\text{divide both sides by}\ (4+b)\neq0\\\\z=\dfrac{1-c}{4+b}

3 0
3 years ago
Find the area of the sector.
attashe74 [19]

Answer: C . 147π / 4 mi²

Concept:

The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.

A = (θ / 360) πr²

θ = angle of the sector

π = constant

r = radius

Solve:

<u>Given variable</u>

θ = 270°

r = 7 mi

<u>Given formula</u>

A = (θ / 360) πr²

<u>Substitute values into the formula</u>

A = (270 / 360) π (7)²

<u>Simplify exponents</u>

A = (270 / 360) π 49

<u>Simplify by multiplication</u>

A = (147 / 4) π

A = 147π / 4

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
Given the information for Whelan Inc, in problem 10 and 11, suppose you also know that the firm's net capital spending for 2019
kotykmax [81]

Answer:

Based on information provided the only line item that falls in the Operating Cash Flow is Reduction in Net Working Cash Flow. Capital Spend comes under Investing Cash Flow. Debt, Interest payment, Dividend payment and capital surplus come under Financing Cash flow.

A reduction in net cash flow increases the cash flow for the company. Thus the OCF equals +$94,300 for the company.

Step-by-step explanation:

8 0
3 years ago
How many different ways can the letters of “football” be arranged
makvit [3.9K]
<h3>Answer:   10,080</h3>

Explanation:

There are 8 letters so there are 8! = 8*7*6*5*4*3*2*1 = 40,320 permutations of those letters. However, the letters "O" and "L" show up twice each, so we must divide by 2! = 2*1 = 2 for each instance this happens.

So,

(8!)/(2!*2!) = (40,320)/(2*2) = (40,320)/4 = 10,080

is the number of ways to arrange the letters of "football".

The reason we divide by 2 for each instance of a duplicate letter is because we can't tell the difference between the two "O"s or the two "L"s. If there was a way to distinguish between them, then we wouldnt have to divide by 2.

3 0
3 years ago
According to the school survey 12% of the students at Rockwood high school speak Spanish there are 36 students at the school who
Svet_ta [14]
36 - 12%
x - 100%

x=\frac{100\%\cdot36}{12\%}\\&#10;x=300

6 0
3 years ago
Read 2 more answers
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