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Andrei [34K]
4 years ago
9

Help me! With number 9 and 10

Mathematics
1 answer:
bekas [8.4K]4 years ago
3 0
9 is 82 blue v-necks and 43 red crew necks. 10 is for one angle it's 56 and fornthe other it is 34. For the first one, let a = blue v-necks and b = red crew necks. Then we have a system of equations: a + b = 125(total amount of shirts) and 7.95a + 8.95b = 1036.75(cost of shirts times how many shirts sold is the profit they got). Multiplyig the top equation by 8.95 we get 8.95a + 8.95b = 1118.75. Subtract that from the second and we get (8.95 - 7.95)a + (8.95 - 8.95)b = 82. The b is gone from that zero and a is being multiplied by one so that means a = 82. Plugging that into a + b = 125 and we get 82 + b = 125 ∴ b = 43. For the second question, since two angles are complementary, we can say ∠A = 90° - ∠B Then its says ∠A = 2∠B - 12. So putting the second ∠A def. into the first equation we get 2∠B - 12 = 90° - ∠B. Adding ∠B to both sides we get 3∠B -12 = 90°. Then adding 12 to both sides we get 3∠B = 102°. Divide by three and you get ∠B = 34 ∴ ∠A = 56.
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What is the approximate area of a sector given O= 56 degrees with a diameter of 12m?​
jeyben [28]

Area of sector is 17.584 meters

<em><u>Solution:</u></em>

Given that we have to find the approximate area of a sector given O= 56 degrees with a diameter of 12m

Diameter = 12 m

Radius = Diameter / 2 = 6 m

An angle of  56 degrees is the fraction \frac{56}{360} of the whole rotation

A sector of a circle with a sector angle of 56 degrees is therefore also the fraction \frac{56}{360} of the circle

The area of the sector will therefore also be  \frac{56}{360} of the area

\text{ sector area } = \frac{56}{360} \times \pi r^2\\\\\text{ sector area } = \frac{56}{360} \times 3.14 \times 6^2\\\\\text{ sector area } = 17.584

Thus area of sector is 17.584 meters

3 0
3 years ago
A recipe for bran muffins calls for 2 1/2 cups of bran flakes. The recipe yields 9 muffins. How much bran flakes should be used
kolbaska11 [484]

10/3 bran flakes can make a dozen muffins

A recipe requires 2 1/2 cups of bran flakes

The recipe can make 9 muffins

Let's calculate the amount of bran flakes it will take to make 1 muffin

5/2 = 9

x= 1

cross multiply

9x= 5/2

x= 5/18

A dozen is 12, the number of bran flakes to make a dozen can be calculated as follows

5/18= 1

y= 12

cross multiply

y= 5/18 × 12

y= 10/3

Hence it will take 10/3 to make a dozen muffins

Read more here

brainly.com/question/13876035?referrer=searchResults

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4 0
1 year ago
What is 35 percent of 70
11111nata11111 [884]
35 Percent of 70 is 24.5
We assume, that the number 70 is 100% - because it's the output value of the task. We assume, that x is the value we are looking for. If 70 is 100%, so we can write it down as 70=100%. We know, that x is 35% of the output value, so we can write it down as x=35%. <span>Now we have two simple equations: 1.)70=100% 2.)x=35%</span>where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that: 70/x=100%/35% Now we just have to solve the simple equation, and we will get the solution we are looking for.
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3 years ago
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If John drove 210 miles in 3 hours, how far will he have<br> driven in 4.5 hours?
VashaNatasha [74]

Answer:

3hours and 15 mins

Step-by-step explanation:

210 divied by 3=70

70=per hour

4 hours=280

70 divied by 2= 35

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280+35=315

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3 0
3 years ago
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Masteriza [31]
If you divide decimals you have to bring up the decimal point but if you divide whole numbers you dont have any decimal points so you just divide the numbers. Sorry if i didnt help i just wanted to help.
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