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musickatia [10]

3 years ago

13

How do you write 0.27 as a mixed number in simplest form

1 answer:

Kazeer [188]3 years ago

4 0

You would first take out the digits before the decimal point and put this before the fraction. In this case the digit is 0 so there is no number before the fraction.

The easiest way to continue is to divide the remaining 27 by 100 (this comes from the smallest power of ten after the full number with no decimal place). We would then simplify this but there are no common factors for 100 and 27.

This means that the final answer is 27/100

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Graph the following system of equations. Click on the graph until the correct graph appears.

nikdorinn [45]

Answer:

See explanation

Step-by-step explanation:

1. Draw the dotted line y=-x. This line must be dotted, because the inequality y<-x is with sign < (without notion "or equal to"). Then shade the region that contains all values of y that are less than -x (bottom part that is shaded in red on the attached diagram).

2. Draw the solid line y=x-2. This line must be solid, because the inequality y≤x-2 is with sign ≤ (with notion "or equal to"). Then shade the region that contains all values of y that are less or equal to x-2 (bottom part that is shaded in blue on the attached diagram).

3. Their common part (region that is shaded in both red and blue colors) represents both inequalities.

3 0

4 years ago

Read 2 more answers

Solve using the pathagorean theorem

podryga [215]

I believe the answer would be 65 because 4 squared is 16 and 7 squared is 49 add those and it equals 65

4 0

3 years ago

What expression can be used to determine the total cost of buying g pounds of granola for $4.85 per pound and s pounds of sugar

sertanlavr [38]

Answer:

The expression y = 4.85g + 0.83s can be used to determine the total cost.

Step-by-step explanation:

Given that:

Cost per pound of granola bars = $4.85

Cost per pound of sugar = $0.83

Let,

y be the total cost.

According to given statement;

y = 4.85g + 0.83s

Hence,

The expression y = 4.85g + 0.83s can be used to determine the total cost.

8 0

3 years ago

Mike’s coin collection has a total of 75 coins. Kevin’s coin collection has three less than two times Mike’s collection. Which e

Vikki [24]

Mike = M
Kevin = K

M = 75
K = 2M - 3

k = 2x - 3

8 0

3 years ago

Find sec 2Theta in exact value

forsale [732]

Answer:

$sec(2\theta)=-\frac{5}{4}$

Step-by-step explanation:

we know that

step 1

Find $cos(\theta)$

we know that

$tan^2(\theta)+1=sec^2(\theta)$

we have

$tan(\theta)=3$

substitute

$3^2+1=sec^2(\theta)$

$sec^2(\theta)=10$

$sec(\theta)=\pm\sqrt{10}$

Remember that

Angle theta lie in Quadrant I

so

$sec(\theta)$ is positive

$sec(\theta)=\sqrt{10}$

Remember that

$sec(\theta)=\frac{1}{cos(\theta)}$

therefore

$cos(\theta)=\frac{1}{\sqrt{10}}$

step 2

Find $sin(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

$sin(\theta)=tan(\theta)cos(\theta)$

we have

$cos(\theta)=\frac{1}{\sqrt{10}}$

$tan(\theta)=3$

substitute

$sin(\theta)=(3)(\frac{1}{\sqrt{10}})$

$sin(\theta)=\frac{3}{\sqrt{10}}$

step 3

Find $cos(2\theta)$

we know that

$cos(2\theta)=2cos^2(\theta)-1$

we have

$cos(\theta)=\frac{1}{\sqrt{10}}$

substitute

$cos(2\theta)=2(\frac{1}{\sqrt{10}})^2-1$

$cos(2\theta)=\frac{1}{5}-1$

$cos(2\theta)=-\frac{4}{5}$

Remember that

$sec(2\theta)=\frac{1}{cos(2\theta)}$

therefore

$sec(2\theta)=-\frac{5}{4}$

8 0

3 years ago