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mote1985 [20]
4 years ago
9

Elise took all of her cans and bottles from home to the recycling plant. The number of cans was one more than four times the num

ber of bottles. She earned $0.10 for each can and $0.12 for each bottle, and ended up earning $2.18 in all. How many cans and bottles did she recycle?
Mathematics
1 answer:
zmey [24]4 years ago
4 0
0.10c + 0.12b = 2.18
c = 4b + 1

0.10(4b + 1) + 0.12b = 2.18
0.40b + 0.10 + 0.12b = 2.18
0.40b + 0.12b = 2.18 - 0.10
0.52b = 2.08
b = 2.08 / 0.52
b = 4 <==== she had 4 bottles

c = 4b + 1
c = 4(4) + 1
c = 16 + 1
c = 17 <=== she had 17 cans

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What is the height of a triangle whose base is 9 centimeters and whose area is 126 square centimeters
jeyben [28]

Answer:

Height=28

Step-by-step explanation:

You have to work backwards using the formula for a triangle, A=1/2bh

Plug your values in, 126=1/2 9 h

126=4.5 h

126 divided by 4.5 is 28

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6 0
3 years ago
Hi I need help with the question in the image. Step by step, thank you!
VashaNatasha [74]

The exponential function is f(x) = 18(12)^{-x-4} + 2

<h3>How to determine the equation?</h3>

An exponential function is represented as:

y = b^x

Where b represents the base.

The base is given as:

b = 12

So, we have:

y = (12)^x

It is vertically compressed by a factor of 1/8.

So, we have:

y = 18(12)^x

When reflected across the y-axis, we have:

y = 18(12)^{-x}

The horizontal asymptote is y = 2.

So, we have:

y = 18(12)^{-x} + 2

It passes through the point (-3, 4).

So, we shift the function to the right by 4 units

y = 18(12)^{-x-4} + 2

Express as a function

f(x) = 18(12)^{-x-4} + 2

Hence, the exponential function is f(x) = 18(12)^{-x-4} + 2

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6 0
2 years ago
A rectangle has a length of (3x - 1) and a width of (x + 1). part a determine the perimeter and area of the rectangle as polynom
liubo4ka [24]

Perimeter of rectangle is 8x and Area is 3x^2 + 2x -1..

Lets try to solve out the problem,

Length = 3x-1

Width = x+1

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Perimeter= 2 (3x-1 + x+1)

P= 8x

Area = (3x-1) (x+1)

=> 3x(x+1) -1 (x+1)

=> 3x^2 + 3x -x -1

=> 3x^2 + 2x -1.

Hence Perimeter of rectangle is 8x and Area is 3x^2 + 2x -1..

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6 0
2 years ago
What is the total surface are when the radius is 2 and the height is 9.5
Olenka [21]

Answer:

Total surface area = 73.56506

Step-by-step explanation:

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Lines x and y are parallel and are cut by the transversal b. If the measure of angle 1 is 57°, what is the measure of angle 6? E
lana [24]

Answer:

\angle6=123

Step-by-step explanation:

Given

Lines x and y

Transversal b

\angle 1 = 57

Required

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From the attachment, \angle1 and \angle7 are vertically opposite.

This means that

\angle 1 =\angle 7 = 57

Similarly

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Make \angle6 the subject

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The relationship between \angle1 and \angle6 is that they are supplementary angles because:

\angle6+ \angle1=180

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3 years ago
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