MATHEMATICS HIGH SCHOOL

Steven wants to buy a $495 bicycle. Steven has no money saved, but will be able to deposit $40 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?

Answers

Answer 1

Answer: $495 + $65 = $560

$560 / 40 = 14

He must save for 14 paychecks.

Answer 2

Answer:

Answer:

He must save for 14 paychecks.

Step-by-step explanation:

$495 + $65 = $560

$560 / 40 = 14

He must save for 14 paychecks.

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Hey, I'm a bit rusty on math. Please provide an answer with an explanation :-) where

What is the value of x in this equation? 2x + 2 = -46

Answers

Answer:

x = -24

Step-by-step explanation:

1. Subtract 2 from -46 to cancel out the addition. 2x = -48

2. Divide both sides by 2. x = -24

(5,?) is on the line below. Find the other half of the coordinate.
y = 2/3x + 7

Answers

We need to plug 5 in place of x into the equation of the line and find the y-value.

y = (2/3)x + 7

y = (2/3)5 + 7

y = 10/3 + 7

y = 10/3 + 21/3

y = 31/3

y = 10 1/3

The point is (5, 10 1/3) OR (5, 31/3).

(x,y) = (5, ?), so x = 5. Substitute 5 into the function for x to find the value of y when x = 5. y = 2/3 (5) + 7 = (2 x 5) / 3 + 7 = 10/3 + 7 = 10/3 + 21/3 = 31/3, which equals 10 1/3 or 10.3 repeating.

Gender: Grade 9 Grade 10 Grade 11 Grade 12Male: 53 19 27 37
Female: 31 42 50 61
What percentage of females are in grades 11 and 12? Round to the nearest percent.
27%
35%
60%
67%

Answers

(50+61) / (31 +42 +50 +61) * 100 = 111/187 * 100 = 59.35

The third option: 60%

Answer:

60%

Step-by-step explanation:

Write the equation of the line with a slope of 3 passing through the point (4,10)

Answers

Answer:

3x - y - 2 =0

Step-by-step explanation:

Equation of line in point slope form is given as:

$y-y_1 =m(x-x_1)$

Plug $_1 =4\:y_1= 10\: \& \: m = 3$ in the above equation, we find:

$y-10 =3(x-4)\n\ny - 10 = 3x - 12\n\ny = 3x - 12+ 10\n\ny = 3x - 2\n\n3x - y - 2 =0$

If both the base and height of a triangle are made nine times as long, how many times the area of the original figure is the area of the new figure?

Answers

To start: A = 1/2bh
Now by increasing both the width and height by 9, you get: A = 1/2(9b)(9h) = 1/2(81)bh

You can see that the increase in area is 81 times the original.

(6p + 4q)(-2p + 9q) simplify please help me with this

Answers

$(6p + 4q)(-2p + 9q) =\n \n=-2p\cdot 6p + 9q\cdot 6p -2p\cdot 4q + 9q\cdot 4q=\n \n=-12p^(2)+54pq-8pq+36q^2=\n \n =-12p^(2)+46pq +36q^2$

Well first you have to multiply using FOIL, so...
-12p² + 54qp -8qp +36q²
-12p² + 46qp + 36q² is the simplified answer
Hope that helps :)

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