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Andrei [34K]
3 years ago
9

Help me! With number 9 and 10

Mathematics
1 answer:
bekas [8.4K]3 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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Veronika [31]

Answer:

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Step-by-step explanation:

8 0
2 years ago
A manufacturer is planning to sell a new product at the price of 210 dollars per unit and estimates that if x thousand dollars i
sattari [20]

Answer:

Development costs: $2757

Promotion costs: $3155

Step-by-step explanation:

This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.

Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).

Let's solve separately.

We need to maximize:

$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y

$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x

Let's go:

$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y

we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.

deriv = $51200/(y+4)/(y+4) - $1000

We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.

(y+4)^2 = $51.2

y+4 ~= 7.155417528 (or -y-4 = 7.1554... but it doesn't make sense because negative budget so we don't analyze).

y ~= 3.155417528

lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.

rounding $1000y to the nearest dollar gives us $3155

Let's do the same for x:

$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x

deriv = $95200/(x+7)/(x+7) - $1000

$95200/(x+7)/(x+7) - $1000 = $0

(x+7)^2 = 95.2

(x+7) ~= 9.75704873412

x ~= 2.75704...

rounding $1000x to the nearest dollar yields $2757

3 0
2 years ago
A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing
Marizza181 [45]
Set up a proportion.

pounds / milligrams of medicine

195/279 = 130/x

195x = 279 times 130
195x =36,270
x = 36,270/195
x = 186

A patient weighing 130 pounds needs 186 milligrams of medicine.
6 0
3 years ago
Y is proportional
Scorpion4ik [409]

Answer:

B :) (im sure btw)

Step-by-step explanation:

5 0
2 years ago
I need help with this.
ollegr [7]

Answer:

h

Step-by-step explanation

12 inches in 1 foot.

2.54 cm in 1 inch.

5x 12=60 inches

60 +4=64inches.

64 x 2.54=162.56 cm

4 0
3 years ago
Read 2 more answers
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