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Amiraneli [1.4K]
3 years ago
12

Which expression is equivalent to

Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0

Answer:

2x^{10}y^{12}

Step-by-step explanation:

\huge \frac{60x^{20}y^{24}}{30x^{10}y^{12}}  \\  \\  = \huge \frac{2x^{20}y^{24}}{x^{10}y^{12}}  \\  \\  =  \huge 2x^{(20 - 10)}y^{(24 - 12)}\\  \\  =  \huge 2x^{10}y^{12}

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Two angles are supplementary. One angle measures 52 degrees more than the other angle. Find the measure of the LARGER angle.
mote1985 [20]

\begin{array}{l}\text{We\ have\ } \alpha +\beta =180\ \text{and} \ \beta =\alpha +52\text{\ then}\\\\\alpha +\alpha +52=180\\\\\Longrightarrow 2\alpha =180-52\\\\\Longrightarrow \alpha =\frac{128}{2} =64\\\\\therefore \beta =64+52=116\\\\\therefore \boxed{\text{The\ larger\ angle\ is\ 116\ degrees}}\end{array}

8 0
3 years ago
600 units of electricity and 100 units of gas were used for a total cost of $388. Next month, 400 units of electricity and 150 u
lana66690 [7]

Answer:

Cost per Electricity Unit= $0.61

Cost per Gas Unit= $0.22

Step-by-step explanation:

Suppose,

Cost per Electricity Unit: e

Cost per Gas Unit: g

for the first month condition, equation would be

600*e+100*g=388...........................................(i)

and for the next month condition, equation would be like

400*e+150*g=277...........................................(ii)

By solving both linear equations simultaneously, we get

e=0.61    and     g=0.22

7 0
4 years ago
If the AREA of the rectangle at the right is 22 3/4 square inches, what is the width of the rectangle?
sergejj [24]

Answer:

3.25 or 3 1/4 inches

Step-by-step explanation:

A = lw

22.75 = 7w

w = 3.25 which is 3 1/4

6 0
3 years ago
Find a 11 in the following geometric sequence
serious [3.7K]
That one is kinda tricky
6 0
3 years ago
29<br> 6. Calculate the hourly rate of a person who works 40<br> hours for a wage of $387.20.
Vikentia [17]

Answer:

$ 9.68

Step-by-step explanation:

a person who earns $387.20. in 40 earns will earn $9.68 in one hour

4 0
4 years ago
Read 2 more answers
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