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sattari [20]
3 years ago
6

Solving a word problem involving rates and time conversion

Mathematics
1 answer:
Grace [21]3 years ago
6 0

Answer:

3.5 minutes

Step-by-step explanation:

32x=112

112/32

x=3.5 minutes

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Plz help and if u don't know then don't answer
Anon25 [30]
We see a right triangle here.
Use the Pythagorean Theorem:
a^2+b^2=c^2
a & b=legs
c=hypotenuse
a^2+15^2=20^2
a^2+225=400
a^2=175
a=13.2287565553
a=13.2
The missing side is 13.2cm
3 0
2 years ago
How do i simplify this expression?
levacccp [35]
  First, you try to make sure that both the denominators are the same. In order to do this, you multiply both fractions' numerator and denominator by the other fraction's denominator. Next, you combine like terms in the numerator, and then you simplify the fraction.
8 0
3 years ago
(i) Write the expansion of (x + y)² and (x - y)². (ii) Find (x + y)² - (x - y)² (iii) Write 12 as the difference of two perfect
zaharov [31]

Answer:

1a (x + y)² = x² + 2xy + y²

1b. (x - y)² = x² - 2xy + y²

2. (x + y)² - (x - y)² = 4xy

3. 4² – 2² = 12

Step-by-step explanation:

1a. Expansion of (x + y)²

(x + y)² = (x + y)(x + y)

(x + y)² = x(x + y) + y(x + y)

(x + y)² = x² + xy + xy + y²

(x + y)² = x² + 2xy + y²

1b. Expansion of (x - y)²

(x - y)² = (x - y)(x - y)

(x - y)² = x(x - y) - y(x - y)

(x - y)² = x² - xy - xy + y²

(x - y)² = x² - 2xy + y²

2. Determination of (x + y)² - (x - y)²

This can be obtained as follow

(x + y)² = x² + 2xy + y²

(x - y)² = x² - 2xy + y²

(x + y)² - (x - y)² = x² + 2xy + y² - (x² - 2xy + y²)

= x² + 2xy + y² - x² + 2xy - y²

= x² - x² + 2xy + 2xy + y² - y²

= 2xy + 2xy

= 4xy

(x + y)² - (x - y)² = 4xy

3. Writing 12 as the difference of two perfect square.

To do this, we shall subtract 12 from a perfect square to obtain a number which has a perfect square root.

We'll begin by 4

4² – 12

16 – 12 = 4

Find the square root of 4

√4 = 2

4 has a square root of 2.

Thus,

4² – 12 = 4

4² – 12 = 2²

Rearrange

4² – 2² = 12

Therefore, 12 as a difference of two perfect square is 4² – 2²

7 0
3 years ago
Purchasing the correctly sized BMX bike is based on the height of the rider. In order to fit a customer, the salesman can use th
Archy [21]

Answer:

  (a) 1 inch of rider ⇒ 0.29 inches of frame

Step-by-step explanation:

The "slope" in the equation is the coefficient of the independent variable. Here, that variable is "h", and its coefficient is 0.29. That is, the height of the rider is multiplied by 0.29 (and a constant is added) in order to find the height of the frame.

__

The meaning of the value 0.29 is that a 1 inch increase in the rider's height should result in a 0.29 inch increase in the height of the frame of the bike.

The question asks for an <em>explanation</em> of the slope, not its function in the equation. That is why we have chosen the first answer.

6 0
2 years ago
Hope is the coach of the Wilson High School girls' soccer team. There are 3 minutes left in the game they are currently playing,
NISA [10]

To answer this question, we need to find the winning probability in either case.

Probability = no. of outcomes / total no. of possible outcomes

<u>When Hope pulled her defender :</u>

Total no. of games = 9

No. of games won = 3

Winning probability = 3/9 =1/3

<u>When Hope left her defender :</u>

Total no. of games = 10

No. of games won = 6

Winning probability = 6/10 = 3/5

We know that , 1/3 < 3/5.

So, Hope should not pull her defender, as the winning probability is better when Hope left her defender.

Answer : A. Hope should not pull her defender.


3 0
3 years ago
Read 2 more answers
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