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Bess [88]
3 years ago
5

Oliver and Kate are paddling a canoe for 1.49 miles across a lake. If Kate paddled for 1/5 of the total distance and Oliver padd

led for 35% of the total distance, what is the distance they have left to paddle
Mathematics
1 answer:
Yuri [45]3 years ago
8 0

About .67 miles left to paddle.

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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)

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: t=11.

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.

3 0
3 years ago
What is this answer?
gayaneshka [121]

Answer:

3n^2 AKA C would be the answer.

Step-by-step explanation:

Reason: any number 1-9 is a mononomial number. Coefficient of three just means to add a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

5 0
3 years ago
100^m ÷ 1000^n can be written in the form 10^z. Express z in terms of m and n
Kitty [74]

100m ÷ 1000n

(102)m ÷ (103)n

102m ÷ 103m

10-m

4 0
3 years ago
Read 2 more answers
Y + 2 = -3/4 ( x +1 )
ivann1987 [24]

Answer:

Step-by-step explanation:

3 0
2 years ago
Does anyone know this? Please help! ASAP!!!
Fudgin [204]
The answers:
a=4
b=5
c=6
d=1
8 0
2 years ago
Read 2 more answers
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