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3 years ago

Expand and simplify (x + 1)(x + 7)

Mathematics

1 answer:

zheka24 [161]3 years ago

7 0

Answer: 10x + 7

Step-by-step explanation:

multiply everything

2x + 7x + x + 7

combine like terms

10x + 7

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a merchant buys a telivision for $125 and sells it for the reatail price of $200. what is the markup.

NISA [10]

Before going to the answer, let's first understand what a mark up is. The mark up is the amount that the seller will add to the purchase cost to the retail cost so that he can earn a profit. So the purchase cost of the television is 125 dollars, and the selling cost or retail cost of the television is 200 dollars. So what is the markup. Simply minus 125 dollars from 200 dollars and you will get the amount added to the purchase cost or simply the mark up. So 200 dollars - 125 dollars is 75 dollars. So 75 dollars is the markup that the merchant put on the television

8 0

3 years ago

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Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the

ANTONII [103]

Answer:

Length of right-angle triangle 'a' = 4

$sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$

$cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$

$tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$

Step-by-step explanation:

Step(i):-

Given b = 3 and hypotenuse c = 5

Given ΔABC is a right angle triangle

By using pythagoras theorem

c² = a² + b²

⇒ a² = c² - b²

⇒ a² = 5²-3²

=25 - 9

a² = 16

⇒ a = √16 = 4

The sides of right angle triangle a = 4 ,b = 3 and c = 5

Step(ii):-

$sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$

$cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$

$tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$

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3 years ago

Your ship accidentally left an alien stranded at your

Diano4ka-milaya [45]

Answer:they are opposite from each other

Step-by-step explanation:

I really don’t know

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3 years ago

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Insurance companies A and B each earn an annual profit that is normally distributed with the same positive mean. The standard de

krok68 [10]

Answer:

C. 0.98

Step-by-step explanation:

Let x be the mean of Company A and B annual profit and x/2 and y are standard deviation of Company A and B annual profit.

P(B<0) = 0.9*P(A<0)

P(Z<(0-x)/y) = 0.9*P(Z<(0-x)/(x/2))

P(Z<-x/y) = 0.9*P(Z<-2)

P(Z<-x/y) = 0.0205

x/y =2.04

Or y/x = 1 /2.05

y/x =0.49

Ratio of the standard deviation of company B annual profit to the standard deviation of company A annual profit =y/(x/2)

= 2*(y/x)

= 2*0.49

= 0.98

7 0

3 years ago

Which choice best represents the balance of a savings account at the end of 6 years if the simple interest earned each year is 6

Amiraneli [1.4K]

Answer:

$507.00.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6.5%/100 = 0.065 per year,

then, solving our equation

I = 1300 × 0.065 × 6 = 507

I = $ 507.00

The simple interest accumulated

on a principal of $ 1,300.00

at a rate of 6.5% per year

for 6 years is $ 507.00.

4 0

3 years ago