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Elenna [48]
4 years ago
6

Giselle works as a carpenter and as a blacksmith.She earns \$20$20dollar sign, 20 per hour as a carpenter and \$25$25dollar sign

, 25 per hour as a blacksmith. Last week, Giselle worked both jobs for a total of 303030 hours, and earned a total of \$690$690dollar sign, 690.How long did Giselle work as a carpenter last week, and how long did she work as a blacksmith?
Mathematics
1 answer:
andreyandreev [35.5K]4 years ago
4 0

Step-by-step explanation:

let x is total hours of carpenter and y is total hours of blacksmith

total hours --

x + y = 30 - equation 1

total earnings -

20x +25y = 690 - equation 2

from equation 1 ,

x = 30 - y

20(30-y) +25y =690

600 - 20y +25y =690

5y =90

y=18

x=30-18 =12

carpenter= 12 blacksmith=18

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3(5x + 7) = 30 + 15x how many solutions
Xelga [282]

Answer:

No solution

Step-by-step explanation:

3(5x+7) = 30 + 15x

DISTRIBUTE

15x+21 = 30+15x

15x-15x = 0

So no solution

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3 years ago
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The measures of the base angles of an isosceles triangle are 3x 5 and 5x - 25. The measure of the vertex angle is 6x - 10. Find
lukranit [14]

Answer: The measure of the vertex angle = 80°

Step-by-step explanation:

Angle sum property of triangle : The sum of the measures of the angles for any triangle is 180 degrees.

So,

3x+ 5 + 5x-25+6x-10= 180\\\\\Rightarrow\ 14x-30=180\\\\\Rightarrow\ 14x= 210\\\\\Rightarrow x=\dfrac{210}{14}=15'

Then, vertex angle = 6(15)-10=90-10= 80

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5 0
3 years ago
Please help!!
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Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Given the functions expressed as:

h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2}  \\

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))

Get the composite function h(g(x))

h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x

Get the composite function g(h(x))

g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x

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7 0
3 years ago
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Answer:

the equation D ) would cause a consistent-independent system.

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    --------------------

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   ------------------------

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    --------------------------

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  -------------------------

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       ---------------------------

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    ------------------

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      -----------------------

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7 0
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