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2 years ago

Martina drove 715 miles in 13 hours. at the same rate, how long would it take her to drive 495 miles?

1 answer:

5 0

First you need to get the unit rate by dividing 715 by 13, getting 55 miles per hour. You then will need to divide 495 by 55 to get the answer of 9

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Joe's Painting charges $100 plus $20 per hour to paint the exterior of your home. Steve's Painting charges $120 plus $15 per hou

Tanzania [10]

Joe's Painting: 20x + 100 = y

Steve's Painting: 15x + 120 = y

x = hours worked

y = total income

We can find when the two equations intersect by making them equal to each other. That means we put an equal sign in the middle. So, it would look something like this:

20x + 100 = 15x + 120

First, we have to move the 100 by subtracting it from both sides.

20x = 15x + 120 - (100)

20x = 15x + 20

Then, we need to move the 15x by subtracting it from both sides.

20 - (15x) = 20

5x = 20

Lastly, we need to divide 5 from both sides.

5x = 20/5

x = 4

Therefore, Joe and Steve would have to work for 4 hours in order for their models to be equal to each other.

5 0

2 years ago

given that 8-sqrt(18) over sqrt(2) = a + b sqrt(2) where a and b are integers find the value of a and b

Novay_Z [31]

Answer:

a = - 3 and b = 4

Step-by-step explanation:

Given

$\frac{8-\sqrt{18} }{\sqrt{2} }$

Simplify $\sqrt{18}$

= $\sqrt{9(2)}$ = $\sqrt{9}$ × $\sqrt{2}$ = 3 $\sqrt{2}$

Thus expression can be written as

$\frac{8-3\sqrt{2} }{\sqrt{2} }$

Multiply numerator/denominator by $\sqrt{2}$

noting that $\sqrt{2}$ × $\sqrt{2}$ = 2

= $\frac{\sqrt{2}(8-3\sqrt{2}) }{\sqrt{2}(\sqrt{2}) }$

= $\frac{8\sqrt{2}-6 }{2}$

Dividing each term on the numerator by 2

= 4 $\sqrt{2}$ - 3

= - 3 + 4 $\sqrt{2}$

with a = - 3 and b = 4

6 0

2 years ago

Read 2 more answers

Help me please this was due yesturday

stepan [7]

Step-by-step explanation:

Slope intercept form is

$y = mx + b$

where m is the slope( average rate of change) and b is the

y intercept( the y value when x is zero).

When x=0, y is 2. This means b=2

Slope is change in y value/ change in x value. Another obvious arbitrary point we are given is (-8,0).

So let use the formula we given.

So our slope is 1/4 so our equation is

1/4x+2

6 0

2 years ago

Part A: Find a rational number that is between 7.7 and 7.9. Explain why it is rational. (2 points)

8_murik_8 [283]

A rational number is any number that can be written as the ratio between two other numbers i.e. in the form $\frac{a}{b}$

Part A:
An easy choice that makes sense is 7.8, right in the middle. To prove that it's rational we need to write it as a ratio. In this case we have $7.8=\frac{78}{10}$

Part B:
We need a number that can't be written as a ratio (because it neither terminates nor repeats). Some common ones are $\sqrt{2}$ , $e$ , $\phi$ and $\pi$ so it makes sense to try and use those to build our number. In this case $\frac{11\sqrt{2}}{5}\approx7.78$ works nicely.

6 0

3 years ago

If you have three cups of pineapple Juice How many total cups of Punch Can you make

Mama L [17]

Answer: 2 cups

Step-by-step explanation:

5 0

2 years ago