Amy, Bruce, and Carlos collected a total of 168 pounds of cans to recycle. Bruce collected 1/3 the number of pounds of cans Carlos collected. Amy collected the same number of pounds of cans as Bruce and Carlos combined. Solve the equation for c, and then determine the number of pounds of cans Bruce collected.. Show all work necessary to support your answer

Answers

Answer 1

Answer:

[tex]c = 63\\b=21[/tex]

Step-by-step explanation:

Let number of pounds of cans collected by Amy = [tex]a[/tex]

Let number of pounds of cans collected by Bruce = [tex]b[/tex]

Let number of pounds of cans collected by Carlos = [tex]c[/tex]

As per question statement, total number of cans collected = 168

[tex]a+b+c=168[/tex] ..... (1)

Number of pounds collected by Bruce is [tex]\frac{1}{3}[/tex]rd of the pounds of cans collected by Carlos.

[tex]b = \dfrac{1}{3}c ..... (2)[/tex]

Number of pounds collected by Amy is equal to number of pounds collected by Bruce and Carlos combined.

[tex]a = b+c[/tex]

Using equation (2):

[tex]a = \dfrac{1}{3}c +c \\\Rightarrow a =\dfrac{4}{3}c ..... (3)[/tex]

Using equations (2) and (3) in equation (1), we get:

[tex]\dfrac{4}{3}c+\dfrac{1}{3}c+c =168\\\Rightarrow \dfrac{8}{3}c = 168\\\Rightarrow c =63[/tex]

Using equation (2):

[tex]b = \dfrac{63}{3} = 21[/tex]


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Step-by-step explanation:

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Answer:

no lo se, sol necesitaba puntos

Step-by-step explanation:

Answer:
x=10
y=7.5
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Explanation:
Use similar triangles. Since you know one side length of the larger triangle, divide it by the hypotenuse of the smaller triangle to get the factor you are multiplying you side lengths by.

12.5 / 5
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Multiply every other side length by 2.5

4 x 2.5 = 10
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To get CE and BD subtract your values:

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Answer: C, 3 to 2

Step-by-step explanation:

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What is (-3x2 - 6x - 8) - (4x2 + 5) simplified?

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Step-by-step explanation:

i got 9x-9

hope this helps broo

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If Triangle ABC ≈ Triangle DBE, find the value of x.

Answers

Answer:

x = 49

Step-by-step explanation:

The sum of angles in a triangle add up to 180°.

∠CBA = ∠EBD (Vertically opposite angles are equal)

          = 52°

Since in the triangle DBE, you already know two of the angles, you can find ∠BDE which is equal to ∠CAB (x + 9)°.

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x + 9 = 58

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Answer:

f(x) = x + 8

Step-by-step explanation:

This is a 1 by 1 simple reason.

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Step-by-step explanation:

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Answers

Y=0.6-4.4 is what I got

Label each remaining tick mark with its value.

a
Adults: 0, 2, 6, 4, 8. Children: 0, 24, 76, 48, 96.
b
Adults: 0, 2, 3, 4, 8. Children: 0, 24, 48, 72, 96.
c
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d
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Answers

Answer:

d

Step-by-step explanation:

A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4).   The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the flower bed? (__,__)​

Answers

Answer:

The coordinates of the flower bed are ([tex]-\frac{1}{3}[/tex] , 3)

Step-by-step explanation:

To find the centroid of a triangle, use this rule centroid = ([tex]\frac{x1+x2+x3}{3},\frac{y1+y2+y3}{3}[/tex]), where (x1, y1), (x2, y2), (x3, y3) are the vertices of the triangle

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→ Substitute them in the rule above

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Answers

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Step-by-step explanation:hope

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Answers

Answer:

Start at the origin, then graph the point (1, 47) and connect the line.

Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

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Step-by-step explanation:

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Answers

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yh

Step-by-step explanation:

Answer:

No

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

5 wouldd be the answer if subtract 15 and 10 Hope this helps

5 is the required suitable value, this will fit the given blank space because 5 is the GCF of the expression 15 - 10.

What is the greatest common factor?

The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.

here,
Given expression,
= 15 - 10
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Take 5 commons from both the terms and put 3 - 2 in the parenthesis of 5.

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Thus, the required simplified expression is given as 5(3 - 2).

Learn more about grates common factors here: https://brainly.com/question/11221202
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461.9 ft
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Answers

Answer:

a

Step-by-step explanation:

Find BD

Remember soh-cah-toa?

opposite/adjacent

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xtan30=400

x = 400/tan30

Find BC

Still toa. . . still toa

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If you followed my steps, your answer should come to you.

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