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Andreyy89
3 years ago
9

How to calculate overtime

Mathematics
1 answer:
leva [86]3 years ago
6 0

"fluctuating workweek"

hope this helps

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4(1 - x) + 3x = - 2(x + 1)
liubo4ka [24]

Answer:

X=-6

Step-by-step explanation:

4(1−x)+3x=−2(x+1)

(4)(1)+(4)(−x)+3x=(−2)(x)+(−2)(1)(Distribute)

4+−4x+3x=−2x+−2

(−4x+3x)+(4)=−2x−2(Combine Like Terms)

−x+4=−2x−2

−x+4=−2x−2

Step 2: Add 2x to both sides.

−x+4+2x=−2x−2+2x

x+4=−2

Step 3: Subtract 4 from both sides.

x+4−4=−2−4

x=−6

Answer:

x=−6

4 0
3 years ago
Read 2 more answers
What is the length of BC , rounded to the nearest tenth?
Arte-miy333 [17]

Step 1

In the right triangle ADB

<u>Find the length of the segment AB</u>

Applying the Pythagorean Theorem

AB^{2} =AD^{2}+BD^{2}

we have

AD=5\ units\\BD=12\ units

substitute the values

AB^{2}=5^{2}+12^{2}

AB^{2}=169

AB=13\ units

Step 2

In the right triangle ADB

<u>Find the cosine of the angle BAD</u>

we know that

cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}

Step 3

In the right triangle ABC

<u>Find the length of the segment AC</u>

we know that

cos(BAC)=cos (BAD)=\frac{5}{13}

cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}

\frac{5}{13}=\frac{AB}{AC}

\frac{5}{13}=\frac{13}{AC}

solve for AC

AC=(13*13)/5=33.8\ units

Step 4

<u>Find the length of the segment DC</u>

we know that

DC=AC-AD

we have

AC=33.8\ units

AD=5\ units

substitute the values

DC=33.8\ units-5\ units

DC=28.8\ units

Step 5

<u>Find the length of the segment BC</u>

In the right triangle BDC

Applying the Pythagorean Theorem

BC^{2} =BD^{2}+DC^{2}

we have

BD=12\ units\\DC=28.8\ units

substitute the values

BC^{2}=12^{2}+28.8^{2}

BC^{2}=973.44

BC=31.2\ units

therefore

<u>the answer is</u>

BC=31.2\ units

8 0
3 years ago
Read 2 more answers
Type in expanded form. Use parentheses to indicate multiplication.<br><br> (-3x)^4
Mumz [18]
Negative 3x over the power by four
8 0
3 years ago
100 POINTS pre-calc
Salsk061 [2.6K]

Answer:

you got this don't freak out

8 0
3 years ago
Solve for d. ad - bc = f
WARRIOR [948]
Ad - bc = f......for d
add bc to both sides
ad = f + bc
divide both sides by a
d = (f + bc) / a
4 0
4 years ago
Read 2 more answers
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