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Lady_Fox [76]
3 years ago
13

In a sale, normal prices are reduced by 17%.

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0

Answer:

<em>The sale price of the washing machine is £207.50.</em>

Step-by-step explanation:

<u>Percentages </u>

To find a percentage of a given number, the procedure is multiplying the percentage by the number and divide by 100.

Suppose the normal price of the washing machine was x before the discount. The discount is:

17% of x = 17/100 * x = 0.17x

This discount is given as £42.50, thus:

0.17x = £42.50

Solving:

x = £42.50/0.17

x = £250

The sale price is:

£250 - £42.50 = £207.50

The sale price of the washing machine is £207.50.

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The base of a triangle is 7 inches more than 4 times the height. If the area of the triangle is 93 square inches, find the base
Galina-37 [17]

Answer:

Step-by-step explanation:

Let the height = h

Let the base = 4h + 7

Area of a triangle = 1/2 * b * h

Area = 93 square inches

1/2 * (4h + 7)* h = 93            Multiply both sides by 2

(4h + 7) * h = 93*2

(4h + 7)*h = 186                    Remove the brackets

4h^2 + 7h = 186                   Subtract 186 from both sides.

4h^2 + 7h - 186 = 0

Use the quadratic formula to solve

a = 4

b = 7

c = - 186

x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4

x1 = (-7 + sqrt(49 - 16*(-186)) / 8

x1 = (-7 + sqrt(49 + 2976)) / 8

x1 = (-7 + sqrt(3025)) / 8

x1 = (-7 +55 ) / 8

x1 = (48)/8

x1 = 6

There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75

h = 6

b = 4*6 + 7 = 31

Check

Area = 1/2 * b * h

Area = 1/2 * 31 * 6

Area = 1/2 *186

Area = 93 which is what we were given so the answer is correct.

4 0
2 years ago
Chris has a blue coat and a
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Answer: P = 0.125 = 1/8

Step-by-step explanation:

We know that he has a blue coat and a black coat.

If he dresses at random, then the probability of getting the blue coat is equal to the quotient between the number of blue coats (1) and the total number of coats (2).

Then the probability is:

p = 1/2

We also know that he has blue pants and brown pants, the probability of getting at random the blue pants is calculated in the same way than above, then:

q = 1/2

And for the shirt he has a blue shirt and a red one, the probability of randomly selecting the blue one is calculated in the same way than above, then:

k = 1/2

Now, the joint probability (he selects all blue clothes) is equal to the product of the individual probabilities:

P = p*q*k = (1/2)*(1/2)*(1/2) = 1/8 = 0.125

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tan 45=1145/x

x tan45/1=1145

x tan 45/ tan 45= 1145/ tan 45

x= 1145/ tan45= 1145... ≈1145

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