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ale4655 [162]
3 years ago
15

Sally has 30 feet of ribbon. She cuts strips each of length 2 2/5 feet from the ribbon. Sally says I can cut 13 of these strips

from this ribbon.
Mathematics
1 answer:
lakkis [162]3 years ago
6 0

Answer: See explanation

Step-by-step explanation:

For us to know the number of strips that Sally can cut from the ribbon, we have to divide 30 feet by 2 2/5 feet. This will be:

= 30 ÷ 2 2/5

= 30 ÷ 12/5

= 30 × 5/12

= 25/2

= 12 1/2 strips

Therefore, the maximum number of strips that Sally can cut is 12 and not 13.

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The equation of a line is given by, 13x – y + 12 = 0. Find the slope and both the intercepts.​
MArishka [77]

Answer:

The slope is 13.

The x intercept is x=\frac{-12}{13}.

The y intercept is y=12.

Step-by-step explanation:

1. Finding the slope.

This is a linear equation, because <u>it's graph forms a line</u>. In a linear equation, the slope is always the value that multiplies x. In this case, x is being multiplied by 13, therefore, <u>the slope is 13</u>.

2. Finding the x intercept.

The x intercept is found when the value of y is 0. Let's replace the value of y for 0 in the equation and solve the x:

13x-y + 12 = 0\\\\13x-(0) + 12 = 0\\\\13x+12 = 0\\\\13x= -12\\\\x=\frac{-12}{13}

<u>The x intercept is </u>x=\frac{-12}{13}<u>.</u>

3. Finding the y intercept.

The y intercept is found when the value of x is 0. Let's replace the value of x for 0 in the equation and solve the y:

13x-y + 12 = 0\\\\13(0)-y + 12 = 0\\\\-y + 12 = 0\\\\-y=-12\\\\y=12

<u>The y intercept is </u>y=12<u>.</u>

3 0
2 years ago
A shipping container will be used to transport several 120-kilogram crates across the
allochka39001 [22]

Answer:

150.833... or 150 and 5/6 crates

Step-by-step explanation:

We can create an equation to solve this.

Let x represent the number of 120 kilogram crates that can be loaded into the chipping container.

120x (weight of the crates) + 5900 (weight already in the container) = 24000 (max weight in the container)

We'll start by subtracting 5900 from both sides to try to isolate x, the number of containers we still need to meet 24000 kilograms.

120x = 18100

Now we just have to isolate x by dividing by 120.

x = 150.83333333333333333333333333333

If you want to use a mixed fraction form for this solution since the 3's keep repeating, it would be 150 and 5/6 crates.

4 0
3 years ago
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Answer:

55 sq meters

Step-by-step explanation:

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but there's two big triangle so 35/2 x 2 =35

area of small triangle 5x4=20/2 10

10 x 2 =20. And then combine 20+35=55

So the area is 55 sq meters.

4 0
3 years ago
I need help pls pls pls
serg [7]

Answer:

e. 55 miles hope that helped

6 0
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Step-by-step explanation:

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