The price s of a pair of shoes plus %5 sales tax

Answers

Answer 1
Answer: S+(0.5)=1.05s
s=1 since there was no exact number for S

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42 is how many groups of 7?
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There are four more girls than boys in Ms. Raub's class of 28 students. What is the ratio of number of girls to the number of boys in her class?

Answers


Let the number of boys be x

Let the number of girls be x + 4

(x + 4) + x = 28

x + x + 4 = 28

2x + 4 =28

2x = 28 - 4 →  2x = 24  → x = 24 / 2  →  x = 12

The number of boys is 12, so the girls are 12 + 4 = 16

Ratio of girls to boys → 16 : 12 → 4 : 3

Ratio of girls to boys is 4:3



Twice a number m minus three equals the sum of m and five

Answers

The value of 'm' for the given equation as per linear equation will be 8.

What is a linear equation?

Linear equation is an equation where the variable has the highest degree of 1.

Given, twice a number m minus three equals the sum of m and five.

Therefore, the linear equation will be:

2m - 3 = m + 5

⇒ 2m - m = 5 + 3

⇒ m = 8.

The value of 'm' is 8.

Learn more about a linear equation here: brainly.com/question/8502333

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2m - 3 = m + 5

m = 8

2(8) - 3 = 13

(8) + 5 = 13

m = 8

Ella's book collection contains 12 books, including 3 mysteries.If Ella randomly selects a book to read, what is the probability that it will be a mystery?

Answers

Answer:

3/12 so 25% probabilty

Step-by-step explanation:

Since there are only 3 mystery books, so the probability of Ella picking one is 3/12. Simplified, this would be 1/4, as a decimal, 0.25, and as a percent, 25%.

How many times greater is 70,000,000 ( 70 million) than 7,000,000 (7 million) ?

Answers

70,000,000 is 10 times greater than 7,000,000

A ball is thrown vertically upward from the ground with an initial velocity of 122 ft/sec. Use the quadratic functionh(t) = -16t2 + 122t +0 to find how long it will take for the ball to reach its maximum height, and then find the
maximum height. Round your answers to the nearest tenth.

Answers

Answer:

232.6 metres after 3.8 seconds.

Step-by-step explanation:

h(t) = -16t² + 122t

a = -16  b = 122  c = 0

Substitute into the quadratic formula

(Ignore the Â)

x =  \frac{-b±\sqrt{b^(2)-4ac}}{2a}

x =  \frac{-122±\sqrt{122^(2)-4(-16)(0)}}{2(-16)}

x =  (-122±122)/(-32)

Split the equation at the ±

x =  (-122+122)/(-32)        x =  (-122-122)/(-32)

x =  (0)/(-32)                    x =  (-244)/(-32)

x = 0                                       x = (61)/(8)

The two x-intercepts at 0 and 61/8. The midpoint of the x-intercepts is the axis of symmetry, which is the x-coordinate of the vertex.

Midpoint = [0 + (61/8)] / 2

Midpoint = 61/16   <= This is the time for maximum height

t = 61/16

t = 3.8125  => Round to t = 3.8

To find the maximum height, substitute t=61/16 into the equation

h(t) = -16t² + 122t

h(61/16) = -16(61/16)² + 122(61/16)

h(61/16) = 232.5625  => Round to h = 232.6

Therefore, the ball will reach the maximum height of 232.6 metres after 3.8 seconds.

What's the sum of twenty-five and ten

Answers

Thirty five since sum means answer to addition
25 + 10 = 20 + 10 + 5 = 35