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V125BC [204]
3 years ago
9

Marshall's office had already recycled 2 kilograms this year before starting the new recycling plan, and the new plan will have

the office recycling 4 kilograms of paper each week. Write an equation that shows the relationship between the weeks w and the paper recycled p.
Write your answer as an equation with p first, followed by an equals sign.
Mathematics
1 answer:
Alona [7]3 years ago
5 0

Answer: w x 4 + 2 = p

Step-by-step explanation:

W = Week

P = Paper

4 kg a week would be 4 x w

you also must add the 2 kilograms at the start of the year

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Mariana [72]

Answer:

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5 0
4 years ago
At the market, 8 apples cost $4dollar. How much do 9 apples cost?
Lorico [155]

Answer: $4.50 for 9 apples

Step-by-step explanation: To find out how much it is for 1 apple, we need to find the unit price of 1 apple which is the cost per apple.

Since we know that it costs $4 for 8 apples, to find the cost for 1 apple, we need to divide 8 into $4 or 4 divided by 8 which is 0.5 of 50 cents per apple.

Since we know that it costs 50 cents per apple, to find the cost for 9 apples, we will need to multiply .50 by 9.

(.50) (9) = 4.50

Therefore, it will cost $4.50 for 9 apples.

4 0
4 years ago
Find the area of the region which is inside the polar curve r=5sin(θ) but outside r=4. Round your answer to four decimal places
natka813 [3]

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be 3.75 square units.

<h3>What is an area bounded by the curve?</h3>

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be

Then the intersection point will be given as

\rm 5 \sin \theta  = 4\\\\\theta = 0.927 , 2.214

Then by the integration, we have

\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214}[ (5 \sin \theta)^2 - 4^2] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [25\sin ^2 \theta - 16] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [ \dfrac{25}{2}(1 - \cos 2\theta ) - 16] d\theta \\

\rightarrow \dfrac{1}{2} [\dfrac{25 \theta }{5} - \dfrac{25 \cos 2\theta }{2} - 16\theta]_{0.927}^{2.214} \\\\\\\rightarrow \dfrac{1}{2} [\dfrac{25(2.214 - 0.927) }{5} - \dfrac{25 (\cos 2\times 2.214 - \cos 2\times 0.927) }{2} - 16(2.214 - 0.927]\\

On solving, we have

\rightarrow \dfrac{1}{2} \times 7.499\\\\\rightarrow 3.75

Thus, the area of the region is 3.75 square units.

More about the area bounded by the curve link is given below.

brainly.com/question/24563834

#SPJ4

5 0
2 years ago
At Pizza pizzazz the cost of a square pizza depends on the total square inches. A small
GaryK [48]

Answer:

The difference in price between a small pizza and a medium pizza is $0.81

Step-by-step explanation:

Small pizza

Side = 5inch

Area =  25 sq.in

Cost = $4 +0.04*25

        = 4 + 1.25  = $5.25

Medium pizza

Side = 8inche

Area = 64 sq.in

Cost = 3.50 + 0.04*64 = $6.06

Difference = Medium pizza - small pizza

                  = 6.06 - 5.25

                   = $0.81

4 0
3 years ago
What is the GCF of 12 and 6? <br><br> Please let Dakotamcclea answer...
Hatshy [7]
The GCF of 12 and 6 is 6!
6 0
3 years ago
Read 2 more answers
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