What is the range of the relation below?

inn [45]

102 3/5 steps

The bridge is 307 4/5 m long
Her steps are 3/10 m long
Divide the length of the bridge by the length of her steps

First change the 307 4/5 to 8/10 so we have a common denominator
(307 8/10)/(3/10)
Next change 307 8/10 to an improper fraction
Multiply the whole number by the denominator than add the numerator
(3078/10)/(3/10)=1,026/10
Now divide the numerator by the denominator
1,026/10=102 6/10
Which simplifies to 102 3/5

6 0

3 years ago

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Write the word sentence as an equation. Then solve.

Ainat [17]

Answer:

Solution: X=144

Equation: x/(-9)= -16

Step-by-step explanation:

the / is divide

the first part of the word problem states that a number x is being divided by -9, x/-9 then it states that this equation equals -16 therefore,x/-9=-16.

5 0

3 years ago

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UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each

grigory [225]

Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where $p$ is pounds and $t$ is total cost:

UPS: $t=7+0.20p$

FedEx: $t=5+0.30p$

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

$7+0.20p=5+0.30p$

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is $0.20x$ . That would turn the equation into:

$7=5+0.10p$

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

$2=0.10p$

Now, you must divide both sides by $0.10$ .

$\frac{2}{0.10}=\frac{0.10p}{0.10}$

That would give us:

$20=p$

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

$t=5+0.30(20)$