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yuradex [85]
4 years ago
15

Giselle works as a carpenter and as a blacksmith. She earns $20 per hour as a carpenter and $25 per hour as a blacksmith. Last w

eek, Giselle worked both jobs for a total of 30 hours, and earned a total of $690
How long did Giselle work as a carpenter last week, and how long did she work as a blacksmith?

Giselle worked as a carpenter for

 hours and as a blacksmith for 

 hours last week.
Mathematics
1 answer:
liraira [26]4 years ago
4 0
She worked 11hours as a black smith
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Can some one help me. Solve this equation.
Marina86 [1]

\bold{Given : 2^2^x^-^2 - 2^x^-^1 = 2^x - 2}

\bold{\implies (2^2^x) (2^-^2) - (2^x)(2^-^1) = 2^x - 2}

\bold{\implies \frac{(2^2^x)}{(2^2)} - \frac{(2^x)}{(2^1)} = 2^x - 2}

\bold{\implies \frac{(2^2^x)}{4} - \frac{(2^x)}{2} = 2^x - 2}

\bold{\implies \frac{[2^2^x - (2^x)(2)]}{4} = 2^x - 2}

\bold{\implies [2^2^x - (2^x)(2)] = (4)(2^x) - 8}

\bold{\implies 2^2^x - (2^x)(2) - (4)(2^x) + 8 = 0}

\bold{\implies (2^x)^2 - (2^x)(6) + 8 = 0}

\bold{Let\;us\;take : (2^x) = Z}

\bold{\implies Z^2 - 6Z + 8 = 0}

\bold{\implies Z^2 - 4Z - 2Z + 8 = 0}

\bold{\implies Z(Z - 4) - 2(Z - 4) = 0}

\bold{\implies Z = 4\;\;(or)\;\;Z = 2}

\bold{But : Z = 2^x}

\bold{\implies 2^x = 4\;\; (or) \;\; 2^x = 2}

\bold{\implies 2^x = 2^2\;\; (or) \;\; 2^x = 2^1}

\bold{\implies x = 2\;\;(or)\;\; x = 1}

8 0
3 years ago
Solve the equation and check the solution. 14-2n=-32
makvit [3.9K]

14 - 2n = -32

32 + 14 = 2n

46 = 2n

46/2 = n

23 = n


Checking:

14 - 2(23) = -32

14 - 46 = -32

-32 = -32 (Matched, answer is correct n = 23)

4 0
3 years ago
How many angles must be supplementary with angle 14? 4 lines intersect to form 16 angles. The angles created, clockwise from top
trapecia [35]

Answer:

four

Step-by-step expif this is worng but i had a similar question and that as the answer

4 0
3 years ago
Read 2 more answers
What is the area PLEASE HELP!! :/
UkoKoshka [18]

Answer:

15 square meters

Step-by-step explanation:

when it says find the area you have to add all the lengths together

4 0
3 years ago
Please help as soon as possible Will mark BRAINLIEST!!!!!
omeli [17]

Answer:

Width = 40ft

Step-by-step explanation:

Area of a rectangle = Length x Width

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=> 1600 = 40W

=> 1600/40 = 40W/40

=> 40 = W

So, the width is 40 ft

6 0
3 years ago
Read 2 more answers
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