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Hoochie [10]
3 years ago
6

Please answer this question correctly for 24 points and brainliest!!

Mathematics
1 answer:
amm18123 years ago
8 0

Answer:

  $110

Step-by-step explanation:

Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...

  a + b + c = 480 . . . . . . the combined total of their earnings

  -a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan

  2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan

Adding the first and third equations, we get ...

  (a + b + c) + (2a - c) = (480) + (0)

  3a + b = 480

Subtracting the second equation gives ...

  (3a +b) - (-a +b) = (480) -(40)

  4a = 440 . . . . . . . . simplify

  a = 110 . . . . . . . . . . divide by the coefficient of a

Alan earned $110.

_____

<em>Check</em>

Bob earned $40 more, so $150. Charles earned twice as much, so $220.

The total is then $110 +150 +220 = $480 . . . . as required

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A regular polygon has an odd number of sides. Which statement is true about the lines of reflection for the polygon that will ma
Novosadov [1.4K]

Answer:

The only correct option is:

Option B. The perpendicular bisectors for each side are the only lines of reflection.

Step-by-step explanation:

A regular polygon has an odd number of sides. Which statement is true about the lines of reflection for the polygon that will map the shape onto itself?

A.

Lines that connect pairs of opposite vertices are lines of reflection.

B.

The perpendicular bisectors for each side are the only lines of reflection.

C.

The lines of reflection are parallel to the sides of the polygon.

D.

There are no lines of reflection.

The only correct option is:

Option B. The perpendicular bisectors for each side are the only lines of reflection.

6 0
3 years ago
Which expression is equivalent?
Irina18 [472]

Answer:

Again! Option D is the answer!

Please mark my answer as the brainliest since I have you the answer so quickly!

7 0
3 years ago
Can someone please help me with this ASAP‼️ Thank You
AVprozaik [17]

Let x = cost of the dishwasher.

The amounts the children are paying are:

Mark =20% = 1/5, so  1/5x

Sorin = 75

Raymond = 1/4x

Stephanie = 75

Kristin = 1/3x

Add them together:

x = 1/5x + 1/4x + 1/3x + 75 + 75

x - ( 1/5x + 1/4x + 1/3x ) = 150

Rewrite fractions with common denominator:

x - ( 12/60x + 15/60x + 20/60x ) = 150

60/60x - 47/60x = 150

13/60x = 150

x = 150/1 • 60/13

x = 9000/13

x = 692.31

The total cost of the dishwasher is $692.31

Now calculate the amount each child pays:

Mark = 1/5 x = 692.31/ 5 = $138.46

Sorin = $75.00

Raymond = 1/4 x = 692.31 / 4 = $173.08

Stephanie = $75.00

Kristin =  1/3 x = 692.31 / 3 = $230.77

5 0
3 years ago
A triangular bandana has an area of 74 square inches. The height of the triangle is 9 1 4 inches. Enter and solve an equation to
Lilit [14]
Hi there!

The formula for the area of a triangle is A = 1/2(b x h). Using the information provided, all we have to do is plug in what we know and solve!

WORK:
74 = 1/2(b x 9.14)
148 = b x 9.14
b = 16.2 inches (approximately)

Hope this helps!! :)
6 0
3 years ago
A cookie recipe calls for 1/4 cup of brown sugar for one batch of 24 cookies. How many cups of brown sugar would be needed to ba
mixer [17]

Answer:1 1/2

Step-by-step explanation:trust me bro

7 0
3 years ago
Read 2 more answers
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