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Fynjy0 [20]
3 years ago
12

Lia, Phil, and Cam collect a total of 200.30 dollars for a holiday fundraiser. Phil collects 12.80 dollars more than Lia. Cam co

llects 3 times as much as Lia. How much does each person collect?
Mathematics
1 answer:
kramer3 years ago
5 0

Answer:

 Lia collects $ 37.5 ,  Phil collects  $50.3  and Cam collects dollars $ 112.5 .

Step-by-step explanation:

Let us assume that the dollar collect by the Lia be x .

As given

Lia, Phil, and Cam collect a total of 200.30 dollars for a holiday fundraiser.

Phil collects 12.80 dollars more than Lia.

Phil collects dollars = 12.80 + x

As given

Cam collects 3 times as much as Lia.

Cam collects dollars = 3x

Than the equation becomes

x + 12.80 + x + 3x  = 200.30

12.80 +  5x  = 200.30

5x =  200.30 - 12.80

5x = 187.5

x = \frac{187.5}{5}

x = $ 37.5

Thus

Lia collects dollars =  $ 37.5

Phil collects dollars = 12.80 + 37.5

                                = $50.3  

Cam collects dollars = 3 × 37.5

                                  = $ 112.5

Therefore the  Lia collects $ 37.5 ,  Phil collects  $50.3  and Cam collects dollars $ 112.5 .

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fomenos

Answer:

Pythagoras’ theorem  is a way to find a side or hypothesis when you have 2 sides.  

The formula is:  a^2 + b^2 = c^2

a and b are sides

c is the hypothesis

<u>Ex:  A triangle has a leg that is 5 inches and a leg that is 7 inches.  Find the hypothesis using Pythagoras' theorem.  </u>

A leg is another way of saying a side.

5^2 + 7^2 = c^2

25 + 49 = x^2

sqrt(74) = sqrt(x^2)

sqrt(74) inches = hypothesis

<u>Ex:  A triangle has a leg that is 9 feet and a hypothesis that is 25 feet.  Find the other leg using Pythagoras' theorem. </u>

9^2 + b^2 = 25^2

81 + b^2 - 81 = 625 - 81

sqrt(b^2) = sqrt(544)

b = sqrt(554)

Do you understand more?

4 0
3 years ago
Is (x+5) a factor of f(x)=x^3 - 4x^2 + 3x + 7? use either the remainder theorem or the factor theorem to explain your reasoning.
Rufina [12.5K]

Answer:

No

Step-by-step explanation:

<u>Use synthetic division</u>

-5 | 1 -4  3   7

____<u>-5 45 -240</u>

     1 -9 48 | -233

Since the remainder is not 0, then x+5 is not a factor of the polynomial

3 0
2 years ago
John wants to measure the width of a stream using the methods he has learned in geometry. He puts a stake in the ground opposite
otez555 [7]

John's method to determine the width of the stream uses the knowledge

that the tangent of 60° is approximately 1.7.

The proper sequence John would use to find the width of the stream are;

  • Step 1; <u>John</u><u> drives a stake opposite the tree to establish a line between two points</u>

  • Step 2; <u>John uses a </u><u>compass </u><u>to walk away from the stakes at a right angle</u>

  • Step 3; <u>On the path John walks until he finds a </u><u>line </u><u>of sight to the tree that equals 60 degrees</u>

  • Step 4; <u>John drives a second </u><u>stake </u><u>in the ground</u>

  • Step 5; <u>John measures the the </u><u>distance </u><u>between the two stakes</u>

  • Step 6; <u>John </u><u>multiplies </u><u>the distance between the two stakes by</u><u> 1.7</u><u> to find the distance</u>.

Reasons:

The steps that can be used to measure the width of the stream are;

Step 1: Drive a stake opposite the tree on the other side of the stream.

Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.

Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.

Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.

Step 5; Measure the distance between the stakes that are placed in the ground.

Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.

\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}

<em>The possible question options are;</em>

<em>John measures the the distance between the two stakes</em>

<em>John uses a compass to walk away from the stakes at a right angle</em>

<em>John multiplies the distance between the two stakes by 1.7 to find the distance</em>

<em>John drives a second stake in the ground</em>

<em>On the path John walks until he finds a line of sight to the tree that equals 60 degrees </em>

<em>John drives a stake opposite the tree to establish a line between two points.</em>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

3 0
2 years ago
M is the midpoint of AB. AM = 9x-6, and BM = 6x+27 find x. find Am. Find BM.
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Answer:

x=11

Step-by-step explanation:

M is the midpoint this means that we can set AM and BM equal to eachother, once this is done we can solve for x

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9x=6x+33 (add 6)

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3 years ago
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<u>Step-by-step explanation:</u>

Let x represent the first number, then x + 1 is the other number.

(x)² + (x + 1)² = 113

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2x² + 2x + 1 = 113          <em>added like terms</em>

2x² + 2x - 112 = 0        <em>subtracted 113 from both sides</em>

x² + x - 56 = 0 <em>           divided both sides by 2</em>

(x + 8) (x - 7) = 0        <em>factored polynomial</em>

x + 8 = 0   x - 7 = 0    <em>applied zero product property</em>

x = -8     x = 7  <em>          solved for x</em>

  ↓

not valid since the restriction is that x > 0 <em>(a positive number)</em>

So, x = 7     and     x + 1 = (7) + 1   = 8

8 0
3 years ago
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