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nadezda [96]
2 years ago
14

Mia's office recycled a total of 9 pounds of paper over 3 weeks. After 7 weeks, how many pounds of paper will Mia's office have

recycled? Choices: 24 21 15 18
Mathematics
1 answer:
kvasek [131]2 years ago
7 0

Answer:

After 7 weeks, Mia's office will have recycled 21 pounds.

Step-by-step explanation:

With the information provided, you can use a rule of three to find the pounds of paper that Mia's office will have recycled after 7 weeks given that they recycled 9 pounds over 3 weeks.

3 weeks  →  9 pounds

7 weeks  →         x

x=(7*9)/3

x=21

According this, the answer is that after 7 weeks, Mia's office will have recycled 21 pounds.

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Find exact values for sin θ and tan θ if cos θ = -4/9 and tan θ > 0.
julsineya [31]

Answer:

Part 1) sin(\theta)=-\frac{\sqrt{65}}{9}

Part 2) tan(\theta)=\frac{\sqrt{65}}{4}

Step-by-step explanation:

we have that

The cosine of angle theta is negative and the tangent of angle theta is positive

That means that the sine of angle theta is negative

step 1

Find sin(\theta)

we know that

sin^{2}(\theta) +cos^{2}(\theta)=1

we have

cos(\theta)=-\frac{4}{9}

substitute

sin^{2}(\theta) +(-\frac{4}{9})^{2}=1

sin^{2}(\theta) +\frac{16}{81}=1

sin^{2}(\theta)=1-\frac{16}{81}

sin^{2}(\theta)=\frac{65}{81}

square root both sides

sin(\theta)=\pm\frac{\sqrt{65}}{9}

Remember that

In this problem the sine of angle theta is negative

so

sin(\theta)=-\frac{\sqrt{65}}{9}

step 2

Find tan(\theta)

we know that

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

we have

sin(\theta)=-\frac{\sqrt{65}}{9}

cos(\theta)=-\frac{4}{9}

substitute the given values

tan(\theta)=-\frac{\sqrt{65}}{9}:-\frac{4}{9}=\frac{\sqrt{65}}{4}

3 0
3 years ago
Jamal is helping pack prize bags for the school carnival. He has 73 pencils to put into 16 bags. He wants to put the same number
valentina_108 [34]

Answer:

4

Step-by-step explanation:

I73/16 = 4.52

If he wants to put the same number in each bag, he would put 4 in each bag because the pencils cannot be cut into 0.52

3 0
3 years ago
−7x &gt; 4(−3x − 5)<br><br> I'm bad at math
VashaNatasha [74]

-7x>4(-3x-5) do the distributive property

-7x>-12x-20 add 12 x to both sides

5x>-20 divide both sides by 5

x>-4


Hope that helps

brainliest is always appreciated

6 0
3 years ago
Read 2 more answers
I need help with d 1 to d 3. I don't understand what to do.
erik [133]
What????

You just add 1 +3 =4
3 0
3 years ago
Solve for x and y. What is m
irina [24]
3x + 2y + y - 3x = 180

3y = 180

y = 180/3

y = 60

3x = y - 3x

Let y = 60

3x = 60 - 3x

3x + 3x = 60

6x = 60

x = 60/6

x = 10

Answer: x = 10, y = 60
4 0
3 years ago
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