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Art [367]
3 years ago
8

Angle A and angle B are complementary angles. If m angle A = (x + 8) and m

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0
Answer:

17

Explanation:

(x + 8) + (8x + 1) = 90

Combine like terms to get:

9x + 9 = 90

Subtract 9 on both sides:

9x = 81

Divide by 9:

x = 9

Plug in 9 for x in
9 + 8 = ?

9 + 8 = 17
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Company A offers a weekly salary of $360 plus a commission of 18% on thier dollar sales volume. Company B offers a weekly salary
Lera25 [3.4K]

Answer: The dollar sales volume will be $4000

Step-by-step explanation:

Let x represent the amount of sales volume for which the two offers result in the same pay.

Company A offers a weekly salary of $360 plus a commission of 18% on their dollar sales volume. This means that the total value offered by company A for x sales volume is

360 + 0.18x

Company B offers a weekly salary of $720 plus commission of 9% on their dollar sales volume. This means that the total value offered by company B for x sales volume is

720 + 0.09x

For the two offers to be the same, the sales volume would be

360 + 0.18x = 720 + 0.09x

0.18x - 0.09x = 720 - 360

0.09x = 360

x = 360/0.09

x = $4000

6 0
3 years ago
Describe what a vaccine is made of and how it helps prevent infection.
12345 [234]

Answer:

Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.

hope it helps.

<h2>stay safe healthy and happy...</h2>
6 0
3 years ago
Compare these data sets. The equation of the trend line is listed below each data set.
Luda [366]

Answer:

b and e

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the solution of ?<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20x-7%3D%5Cfrac%7B3%7D%7B4%7D%20x%2B14" id="Tex
Nonamiya [84]

Combine the terms by multiplying into a single fraction.

\bf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14   }

Find the common denominator.

\bf{\dfrac{5x}{2}-7=\dfrac{3}{4}x+14   }

Combine fractions with the lowest common denominator.

\bf{\dfrac{5x(-7)}{2}=\dfrac{3}{4}x+14   }

Multiply the numbers.

\bf{\dfrac{5x-14}{2}=\dfrac{3}{4}x+14   }

Combine the multiplied terms into a single fraction

\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+14   }

Find the common denominator.

\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+\dfrac{4\cdot14}{4}    }

Combine fractions with the lowest common denominator.

\bf{\dfrac{5x-14}{2}=\dfrac{3x+4\cdot14}{4}   }

Multiply the numbers.

\bf{\dfrac{5x-14}{2}=\dfrac{3x+56}{4}   }

Eliminate the denominators of the fractions.

\bf{4\cdot\dfrac{5x-14}{2}=4\cdot\dfrac{3x+56}{4}   }

Cancel the multiplied terms that are in the denominator.

\bf{2(5x-14)=3x+56}

To distribute.

\bf{10x-28=3x+56 }

Add 28 to both sides.

\bf{10x-28+28=3x+56+28 }

Simplify

\bf{10x=3x+84 }

Subtract 3x from both sides.

\bf{10x-3x=3x+84-3x }

Simplify

\bf{7x=84 }

Divide both sides by the same factor.

\bf{x=\dfrac{84}{7} }

Simplify

\bf{x=12 \ \ \ === > \ \ \ Answer}

↓

<h3>Verification</h3>

Let x=12.

  1. \bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14   }
  2. \bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14   }
  3. \bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14   }
  4. \bf{30-7=\dfrac{3}{4}\times12+14   }
  5. \bf{30-7=\dfrac{3\times12}{4}+14   }
  6. \bf{30-7=\dfrac{36}{4}+14   }
  7. \bf{30-7=9+14   }
  8. \bf{23=9+14 }
  9. \bf{23=23}

Checked ✅

3 0
2 years ago
A mother is five times as old as her daughter. In 6 years, the mother will
docker41 [41]

Answer:

Mom=30 Daughter=6

Step-by-step explanation:

M=5×D

M+6=3×D

5D=3D-6

2D=6

D=12

M=12×3=36

Now: D=12-6=6

M=36-6=30

4 0
2 years ago
Read 2 more answers
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