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EastWind [94]
2 years ago
11

A shelf has different sizes of bottles of laundry detergent. This line plot shows the number of cups of laundry detergent in eac

h bottle. Eric buys the kind of detergent that has the most bottles. He uses 18 cup for every load of laundry he does. How many loads of laundry can Eric do with his bottle of laundry detergent? Enter your answer in the box. Loads
Mathematics
1 answer:
salantis [7]2 years ago
8 0

Answer:

2 / 3 loads

Step-by-step explanation:

From. The plot, we can conclude that, the detergent that has the most bottles is that with 5 ; the number of cups in the detergent with 5 bottles is 12 cups

Number of cups used for each load of laundry = 18 cups

The loads of laundry Eric can do is thus :

Number of cups of detergent / number of cups used for each load of laundry

= 12 / 18

= 2 / 3 loads

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Step-by-step explanation:

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I need Financial Algebra help
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2 years ago
Graph -3x + 9y = -27
serious [3.7K]

Answer:

So the x-intercept is (9,0) and the y-intercept is (0,-3).

So I'm going to graph both points and connect them with a straight-edge.

Step-by-step explanation:

I would graph this using it's x- and y-intercepts.

To find the x-intercept, set y=0.

-3x+9(0)=-27

-3x+0=-27

-3x=-27

Divide both sides by -3:

x=9

To find the y-intercept, set x=0:

-3(0)+9y=-27

 0  +9y=-27

       9y=-27

Divide both sides by 9:  

        y=-3

So the x-intercept is (9,0) and the y-intercept is (0,-3).

So I'm going to graph both points and connect them with a straight-edge.

3 0
3 years ago
Please solve these for me. I need them for a quiz.
sergiy2304 [10]
4a)

I'm going to use the Substitution method

c = 160 + 67t 
55 + 82t = 160 + 67t .... replace c with 55+82t; solve for t
55 + 82t - 55 = 160 + 67t - 55
82t = 67t + 105
82t - 67t = 67t + 105 - 67t
15t = 105
15t/15 = 105/15
t = 7

Use t = 7 to find that
c = 160 + 67t
c = 160 + 67*7
c = 629
You can use the other equation as well to get the same answer for c.

It takes 7 months for the cost to be the same. That cost is $629

===========================================================
4b)

I'm going to use the Elimination method

Subtract the equations to get
x+y = 20
x-4y = -15
-----------
0x+5y = 35

If 5y = 35, then y = 7 after we divide both sides by 5

Plug y = 7 into the first equation and solve for x
x+y = 20
x+7 = 20
x+7-7 = 20-7
x = 13

So x = 13 and y = 7 are the solutions

Max exercises 13 hours a week while Sasha exercises 7 hours a week
===========================================================
4c)

I'm going to use the Substitution method

x = price for one adult ticket (in dollars)
y = price for one student ticket (in dollars)

Fact #1
4 adult tickets + 2 student tickets = 64 dollars
4x + 2y = 64

Fact #2
3 adult tickets + 3 student tickets = 60 dollars
3x + 3y = 60
3(x + y) = 60
3(x + y)/3 = 60/3
x + y = 20
x + y-x = 20-x ... subtract x from both sides
y = 20 - x

Plug that into the first equation
4x + 2y = 64
4x + 2(y) = 64
4x + 2(20-x) = 64 ... replace y with 20-x; solve for x
4x + 40-2x = 64
2x + 40 = 64
2x + 40-40 = 64-40
2x = 24
2x/2 = 24/2
x = 12

Use x = 12 to find y
y = 20 - x
y = 20 - 12
y = 8

In summary, x = 12 and y = 8, which means...
One adult ticket costs $12
One student ticket cost $8


3 0
2 years ago
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