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Natali [406]
3 years ago
10

What are three different ways to write 15,638 with only hundreds, tens, and ones?

Mathematics
1 answer:
saul85 [17]3 years ago
5 0
Fifteen thousand six-hundred and thirty-eight
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Find the missing values of the variables. The diagram is not to scale.
Paul [167]

Answer:

y = 64  and x =99

Step-by-step explanation:

y+116 =180

y=64

and

x+y+72+135=360

x=99

5 0
3 years ago
One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.
o-na [289]

Hey there!

To find our answer, we need to set up a <u><em>system of equations. </em></u>Remember, <u><em>supplementary angles</em></u> equal 180 degrees when combined. We will call one of our angles A and the other one B. Let's set it up below! :)

A=2B-15 (one angle is 15 degrees less than twice the other)

A+B=180

We need to find one of our variables. To do this, we only put one variable in the equation. But how, there are two variables in both equations! Well, as you can see, we see the A is equal to 2B-15, so we can take 2B-15 and put it into the second equation in place of A because it is equal to A, and then we will only have Bs and we can solve for it. This method is known as solving systems of equations with <u><em>substitution.</em></u>

Let's solve with substitution!

2B-15+B=180

3B-15=180              We combine our Bs.

3B=195              We add 15 to both sides.

B= 65                We divide both sides by three.

Now, we need to find what A is, but this will be really easy to do! If you remember, our angles are supplementary, so when you combine them, we will get 180, as you can see in our second equation in our first system of equations. So, we simply subtract 65 from 180.

180-65=115

Our two angles are 65° and 115°.

We can also check this with the original problem.

If you double 65, we have 130. Then, if we subtract 15, we have 115. Systems of equations are a pretty awesome way to figure this out!

I hope this helps! Have a great day!

5 0
2 years ago
Rationalize the denominator of square root of negative 49 over open parentheses 7 minus 2 i close parentheses minus open parenth
navik [9.2K]

The answer is the option d, which is: d) \frac{-77+21i}{130}

The explanation for this problem is shown below:

1. Smplify the denominator and rewrite the numerator in this form:

\frac{7i}{7-2i-4-9i} \\\frac{7i}{3-11i}

2. Multiply the denominator and the numerator by the conjugated (3+11i) and simplify the expression, as following:

\frac{7i(3+11i)}{(3-11i)(3+11i)} \\ \frac{21i+77i^{2}}{121+9}  \\ \frac{-77+21i}{130}

3. As you can see, you obtain the expression shown in the option mentioned above.

3 0
3 years ago
amir lent Rs. 600 to hameed for 2 years and Rs. 150 to aman for 4 year and received altogether from both Rs. 90 as simple intere
aniked [119]

Interest = Pin = principal * interest rate * number of years

Let interest rate be i, then
600*i*2+150*i*4=90
1200i+600i = 90
i=90/(1200+600)=90/1800=1/20=0.05 or 5%

8 0
3 years ago
At Charles School, 1/5 of the 75 students in seventh grade play in the jazz band. how many seventh graders play in the jazz band
My name is Ann [436]

Answer: 15

Step-by-step explanation:

8 0
3 years ago
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