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SVEN [57.7K]
3 years ago
9

How do you write 37,015.08 in expanded form

Mathematics
1 answer:
kondaur [170]3 years ago
3 0

Answer:

Thirty-seven thousand fifteen and eight hundredths

Step-by-step explanation:

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2 angles are supplementary. The measure of one angle is one-third of the other. Find the measure of BOTH angles.
morpeh [17]

Answer:

45° and 135°

Step-by-step explanation:

let one angle be "x" and the other be "y"

Angles which are supplementary total to 180°. This can be represented with the equation:

x + y = 180

If angle "x" is a third of angle "y", the situation is represented with this equation:

(1/3)x = y

Since fractions are difficult to work with, multiply the whole equation by 3.

(1/3)x = y   <= X 3

x = 3y

Use the equations x+y=180 and x=3y.

You can substitute x=3y into x+y=180.

x + y = 180

(3y) + y = 180    <=combine like terms

4y = 180   <=isolate y by dividing both sides by 4

y = 45

Substitute y=45 itno the equation x+y=180 to find x.

x + y = 180

x + 45 = 180   <=isolate x by subtracting 45 from both sides

x = 135

Therefore the angles are 45° and 135°.

5 0
2 years ago
Read 2 more answers
Solve for x: −2x − 4 &gt; 8<br><br> x &lt; −6<br> x &gt; −6<br> x &lt; −2<br> x &gt; −2
Yuki888 [10]

Answer:

x > -6

Step-by-step explanation:

-2x - 4 > 8

collect like terms

-2x > 8 + 4

-2x > 12

Divide both sides by -2, we will have

x > 12/-2

x > -6

8 0
3 years ago
Read 2 more answers
Given f(x) = 10 - 16/x, find all c in the interval [2,8] that satisfy the mean value theorem
Katen [24]
F(x)=10-16/x
f'(x)=16/x^2
f'(c)=16/c^2
f(8)=10-16/8=10-2=8
f(2)=10-16/2=10-8=2
f'(c)= \frac{f(b)-f(a)}{b-a} in (2,8),&#10; \frac{16}{c^2} = \frac{f(8)-f(2)}{8-2} ,&#10; \frac{16}{c^2} = \frac{8-2}{8-2}&#10;
4∈[2,8] is the required point.
8 0
3 years ago
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The formula for the resistance of a conductor with voltage V and current I is r= v/1. Solve for V.
VikaD [51]
V=i x r is the formula 
8 0
2 years ago
In planning her retirement, Liza deposits some money at 2% interest, twice as much deposited at 2.5%. What is the amount deposit
harkovskaia [24]
She deposited two amounts, let's say "a" and "b"
"a" earning 2% interest
"b" earning 2.5% interest

the 2.5% one, is twice as much as the 2% one
so.. one can say that, whatever "a" is, "b" is twice as much,
or b = 2*a -> b = 2a

now.. .the sum of both earned interest, was $1190

so.. one can say that (2% of a) + (2.5% of b) = 1190
let' us use the decimal notation then
\frac{2}{100}a+\frac{2.5}{100}b=1190\implies 0.02a+0.025b=1190&#10;\\ \quad \\&#10;\textit{however, we know "b" is 2a thus}&#10;\\ \quad \\&#10;0.02a+0.025\boxed{b}=1190\implies 0.02a+0.025(\boxed{2a})=1190

solve for "a" to find what the "a" amount is,
to find "b", well, "b" is "2a", so just do a 2*a to get "b"

5 0
3 years ago
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