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Dafna11 [192]
3 years ago
14

Find the value of x.

Mathematics
1 answer:
nlexa [21]3 years ago
7 0
A triangle =180
the box in the corner =90°
so, 180-90-20 =70

x=70
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Ezra is filling bottles of water to hand out during a race. Each bottle of water holds 16 ounces and he has 4,005 ounces of filt
Oksi-84 [34.3K]

So just by the question, we are aware that when we divide 4,005 ounces by 16, it is not going to be a pretty number - there are going to be some left over in the form of a fraction.

First we must find out how many of these bottles can be completely filled until there is only the small fraction left that is not able to fill up a bottle. So let's divide:

\frac{4,005}{16}=250.3125

And now we know that 250 bottles will be filled completely. To find the amount of ounces left over, let's see how many ounces 250 bottles is:

250*16=4,000

There are 4,000 ounces in 250 bottles. So we need to subtract our initial amount from this known amount:

4,005-4,000=5

So there are only 5 ounces of water remaining after 250 bottles are completely filled. To put this into a fraction of the original amount, we just divide by the initial amount (4,005):

\frac{5}{4,005} =\frac{1}{801}

If the question is asking for the remainder in terms of a bottle, we just divide these 5 ounces by the 16 ounces it would take to fill this bottle:

\frac{5}{16}

3 0
3 years ago
What is the length of side AB? Round your answer to the nearest tenth.
ELEN [110]

Answer:

AB ≈ 2.8 units

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(1, 1) and (x₂, y₂ ) = B(3, 3)

AB = \sqrt{(3-1)^2+(3-1)^2}

     = \sqrt{2^2+2^2}

     = \sqrt{4+4}

     = \sqrt{8} ≈ 2.8 units ( to the nearest tenth )

3 0
4 years ago
Allen runs at an average rate of 9 mi/hr and walks at a average rate of 3 mi/hr. Write an equation in standard form to relate th
den301095 [7]

Answer:

The equation would be 30=12+9x.

Allen will Run for 2 hours.

Step-by-step explanation:

Given:

Total Distance traveled = 30 miles

Average rate of walking = 3 mi/hr

Average rate of running = 9 mi/hr

Time for walking = 4 hours

W need to find the time for running.

Solution:

Let Number of hrs required for running be 'x'.

Total Distance traveled is equal Distance Traveled in walking plus Distance traveled in Running

But Distance is equal Rate multiplied by Time.

Framing in equation form we get;

Hence Total Distance Traveled = Rate of walking × Hours of walking + Rate of Running × Hours of running.

Substituting the values we get;

30 = 3\times4 +9x\\\\30=12+9x

Hence The equation would be 30=12+9x

Solving above equation we get;

9x=30-12\\\\9x=18\\\\x=\frac{18}{9}=2\ hrs

Hence Allen will Run for 2 hours.

8 0
4 years ago
Empirical evidence suggests that 25% of Florida drivers are uninsured.
Nata [24]
If the question is asking if only one isnt insured, the chances are 1/12.
If the question is asking if at least one isnt insured, the chances are 1/4.
8 0
3 years ago
Read 2 more answers
WILL GIVE BRAINEST <br>For the x-values 1,2,3, and so on, y-values...
jeyben [28]
That's exponential decay.
6 0
4 years ago
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