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hjlf
3 years ago
8

Find the equation for the line that passes through the point (-4,5) and that is perpendicular to the line with the equation-3/2x

+2y=-7
Mathematics
1 answer:
IgorLugansk [536]3 years ago
4 0

Answer:

y = -4/3x - 1/3

Step-by-step explanation:

-3/2x+2y=-7

2y = 3/2x - 7

y = 3/4x - 7/2

y = -4/3x + b

5 = -4/3(-4) + b

5 = 16/3 + b

-1/3 = b

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Gavin, Colin and Dan share some sweets in the ratio 4:5:3. Gavin gets 20 sweets. How many sweets are there altogether?
Aliun [14]

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Answer:

  60

Step-by-step explanation:

Gavin has 20/4 = 5 times as many sweets as his corresponding number of ratio units. The total number of ratio units is 4+5+3 = 12, so the total number of sweets is 5×12 = 60.

There are 60 sweets altogether.

_____

They are divided as ...

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8 0
3 years ago
The differences of four times a number and 11
Ivan

Answer:

Let n=the number

4n-1=11

4n=12

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Hope it helps!

4 0
3 years ago
A book is to be randomly chosen from the library. The probability that a randomly-chosen book is fiction is
Sveta_85 [38]

Using Venn probabilities, and supposing the incomplete probabilities, it is found that there is a 0.35 = 35% probability that a randomly-chosen book from the library is fiction or has a white cover.

<h3>What is a Venn probability?</h3>

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The first step to solve a problem using Venn probabilities is identifying the events. In this problem, they are:

  • Event A: Fiction.
  • Event B: White cover.

The "or probability" is given by:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

In this problem:

  • The probability that a randomly-chosen book is fiction is 0.15, hence P(A) = 0.15.
  • The probability that randomly-chosen book has a white cover is 0.3, hence P(B) = 0.3
  • The probability that a randomly-chosen book is fiction and has a white cover is 0.1, hence P(A \cap B) = 0.1

Then:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

P(A \cup B) = 0.15 + 0.3 - 0.1

P(A \cup B) = 0.35

0.35 = 35% probability that a randomly-chosen book from the library is fiction or has a white cover.

You can learn more about Venn probabilities at brainly.com/question/25698611

5 0
3 years ago
Melissa has two coupons for shoes. Coupon A: Coupon B: 15% off of S41 shoes $10 rebate on S41 shoes Choose the coupon that gives
RUDIKE [14]

Answer:22

Step-by-step explanation:

7 0
3 years ago
In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of the pyramid is 7 centimeters. Fin
MatroZZZ [7]

Answer:

Step-by-step explanation:

The base is 16 cm by 16 cm.

OD = 8 cm

AD = √(8² + 7²) = √113 ≅ 10.6 cm

8 0
3 years ago
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