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]


Related Questions

i NEED HELP PLEASE hdhdhhdjdhdhd

Answers

Answer:

there was no question, but if your asking how much there shrinking by the top one comes first and the 2nd shrinks down to twice the size.

Step-by-step explanation:

2 Classify the triangle by its sides. The diagram is not to scale. A straight B equilateral C scalene D isosceles (sides are 8,6,6)

Answers

Answer:

D) Isosceles

Step-by-step explanation:

An isosceles triangle is the triangle that has 2 sides that are the same.

What point is the intersection of the graphs of the lines 2 x - y = 3
and x + y = 3?

Answers

Answer:

(2, 1 )

Step-by-step explanation:

Given the 2 equations

2x - y = 3 → (1)

x + y = 3 → (2)

Rearrange (2) expressing y in terms of x by subtracting x from both sides

y = 3 - x → (3)

Substitute y = 3 - x into (1)

2x - (3 - x) = 3

2x - 3 + x = 3

3x - 3 = 3 ( add 3 to both sides )

3x = 6 ( divide both sides by 3 )

x = 2

substitute x = 2 into (3) for corresponding value of y

y = 3 - 2 = 1

Solution is (2, 1 )

2. (04.02 LC)
Which of the following describes how to read the decimal number 0.92? (2 points)
ninety-two thousandths
ninety-two
ninety-two hundredths
twenty-nine hundredths

Answers

I think ninety-two hundredths

Solve: 7 -2x= 2(x - 4) - 1

Answers

Answer:

the answer is four

Step-by-step explanation:

you distribute the 2 to the numbers in the parenthesis

Dina can run 4 miles in 30 minutes. If she maintains this pace, how many miles can she run in 90 minutes?

Answers

4/30 miles per minute
90 * (4/30) = 12
She can run 12 miles

Answer:

Dina can run 12 miles in 90 minutes

Step-by-step explanation:

Since its 4 miles every 30 minutes, you would multiply 4 by 3 (since 30 x 3 = 90)

Hope this helped!


Two boats start their journey from the same point A and travel along directions AC and AD, as shown below

What is the đistance, CD, between the boats? (5 points)
461.9 ft
530.9 ft
646.4 ft
325.5 ft

Answers

Answer:

a

Step-by-step explanation:

Find BD

Remember soh-cah-toa?

opposite/adjacent

tan30=400/x

xtan30=400

x = 400/tan30

Find BC

Still toa. . . still toa

90 + 60 = 150

180-150 = 30

BAC = 30

tan30=x/400

400tan30=x

BD-BC=CD

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

If you didn't and are a lazy pr*ck who relies on others to do their semester exam problems for them, the answer is A.  Or 461.

A cylinder has a radius of 7 inches and a height of 20 inches. What is the closet to the surface area of this
cylinder?

Answers

Answer:  sorry im useless in geometry

Step-by-step explanation:

how do you graph y=47x

Answers

Answer:

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

Step-by-step explanation:

Slope: 47

y-intercept: 0

please help brainliest for correct answer

Answers

Answer: i think its a or d

Step-by-step explanation:hope

i helped

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
Adults: 0, 2, 4, 6, 8. Children: 0, 24, 48, 72, 96.
d
Adults: 0, 2, 4, 6, 8. Children: 0, 24, 12, 6, 96.

Answers

Answer:

d

Step-by-step explanation:

3x-5y=22: y=-5x+32 solve for y

Answers

Y=0.6-4.4 is what I got

What us the answer?​

Answers

Answer:

The graph so C

Step-by-step explanation:

Cause u can’t get two or more x values for different for one y value( if u plug in 3 and u get 5, u can’t plug in 3 again and get 10)

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

∵ The vertices of the triangle are (1, 1), (1, 4), (-3, 4)

∴ x1 = 1 and y1 = 1

∴ x2 = 1 and y2 = 4

∴ x3 = -3 and y3 = 4

→ Substitute them in the rule above

∵ Centroid = ([tex]\frac{1+1+-3}{3},\frac{1+4+4}{3}[/tex])

∴ Centroid = ([tex]\frac{-1}{3},\frac{9}{3}[/tex])

∴ Centroid = ([tex]-\frac{1}{3}[/tex] , 3)

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

y = 3x + 5, x = -4 / So, what would the y equal ?

Answers

Answer:y=4x+1

Step-by-step explanation: ok you are going to take your -4 over which it goes under 5 which 5-4 is 1 then your ad your x's which is 4x

Answer:

y = -12x + 5

................

Kyle has 27 black marbles and 18 red marbles in
a box. What is the ratio of the number of black
marbles to the number of red marbles in the box?
A.
1 to 3 B. 2 to 3 C 3 to 2 D. 9 to 1

Answers

Answer: C, 3 to 2

Step-by-step explanation:

The highest common multiple of the 2 numbers is 9, 27 divided by 9 is 3, 18 divided by 9 is 2.

everything is above

Answers

Answer:

Option B

Step-by-step explanation:

8 - 2x < 18

Subtract 8 from both sides;

-2x < 10

Divide both sides by -2

x > -5

Answer:

X > -5

it would be B.

open circle on -5 and the arrow point on the right. Because x can be any number greater than -5.

Step-by-step explanation:

8 - 2x < 18

- 2x < 18 - 8

-2x < 10

x > 10/-2

x > -5

help me with this please​

Answers

Answer:

30-40

Step-by-step explanation:

because on the graph thats where they cross.

A triangle has sides with lengths of 7 yards, 12 yards, and 13 yards. Is it a right triangle?​

Answers

Answer:

yh

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

We use the Pythagorean theorem.

a^2 + b^2 = c^2

7^2 + 12^2 = 49 + 144 = 193

13^2 = 169

Since 193 is not equal to 169, the triangle is not a right triangle.


Keiko wants to build a new machine that will undo
what f(x) does to an input. What must Keiko's
machine do to 17 to undo f(x) and return a value of 3

Answers

Answer:

23232

Step-by-step explanation:

5432463+3432=333

15 - 10 = _____(3 - 2) PLEASE HELP ON THIS IS DUE TODAY

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
= 5 × 3 - 5 × 2

Take 5 commons from both the terms and put 3 - 2 in the parenthesis of 5.

= 5 [3 - 2]

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

Learn more about grates common factors here: https://brainly.com/question/11221202
#SPJ2

Drag and drop the answer into the box to identify each function as linear, exponential, or neither.

Answers

Answer:

the first is linear and the second is exponential

Answer:

Linear and Neither

Step-by-step explanation:

Got the answer from the test because I got it wrong and it said this was the right answer.

PLEASE HELP!! WILL MARK BRAINLIEST / 30 POINTS

Answers

Answer:

i want the points sorry

Step-by-step explanation:

PLEASE HELPP I REALLY NEED TO GET THESE RIGHTT ILL GIVE BRAINLIEST (MORE ON MY PAGE PLS IF U CAN HELP) ;]

Answers

Answer:

f(x) = x + 8

Step-by-step explanation:

This is a 1 by 1 simple reason.

Answer:f(x)=x+8

Step-by-step explanation:

WILL GIVE BRAINLIEST!
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)°.

∠BDE = 180° - 70° - 52°

          = 58°

∠BDE = ∠CAB

          = ∠(x + 9)°

          = 58°

x + 9 = 58

x = 58 - 9

x = 49

TRULY IN NEED OF HELP PLEASEE

Answers

Answer:

no lo se, sol necesitaba puntos

Step-by-step explanation:

Answer:
x=10
y=7.5
CE = 6
BD=4.5

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
= 2.5

Multiply every other side length by 2.5

4 x 2.5 = 10
x = 10

3 x 2.5 = 7.5
y = 7.5

To get CE and BD subtract your values:

CE = 10 - 4
CE = 6

BD = 7.5 - 3
BD = 4.5

16 points, Brainllest, a heart, and stars! First place gets brainllest, five stars and a heart! Second place gets 4 stars and a heart! (You only get it if you get it right )!

Write the percent as a fraction in simplest form and as a decimal. 16.24%
The fraction is
The decimal is

Answers

Answer:

Umm ty!

Step-by-step explanation:

Answer:

Fraction is: 203/1250

Decimal is: 0.1624

Step-by-step explanation:

Thank you for the points! Please mark this as brainliest! :)

What is the image of (−5,9) after a reflection over the y-axis?

Answers

Answer:

(5, 9 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), thus

(- 5, 9 ) → (5, 9 )

pleaseeee help pleaseee

Answers

Step-by-step explanation:

you can do it using the formula of ratio

Answer:

large dogs = 32

Step-by-step explanation:

small dogs to large dogs = 4: 3

total ratio = 7

large dogs = 4/7

total dogs = 56

large dogs = 4 x 56

                     7

large dogs = 32

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

Answers

Step-by-step explanation:

i got 9x-9

hope this helps broo

-7x^2-6x-13


This is the answer
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