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nadezda [96]
3 years ago
14

A line is perpendicular to y = 3x - 8

Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0

Since the line is perpendicular, we know that the slope is reciprocal and negative to the other one.

So,

y = -4x + b

We want to find the y-intersect (b) so substitute the intersected points and solve for it.

2 = -4(2) + b

2 = -8 + b

2 + 8 = b

10 = b

So the complete equation would be:

y = -4x + 10

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Translate the phrase into an algebraic expression the product of 7 and c​
lana66690 [7]

Answer:

7 x c

Step-by-step explanation:

product means multiply so you just multiply them

8 0
2 years ago
A ferris wheel can accommodate 40 people in 30 minutes. How many people could ride the ferris wheel in 3 hours? What was that ra
andrew-mc [135]
240 people could ride it in 3 hours. The rate per hour is 80 people.


3 0
3 years ago
Lenny rolls two number cubes. What is the probability that the sum of the numbers Lenny rolls is either 4 or 7?
Mashutka [201]

Probability of an event =


(number of ways the event can happen) / (total number of possible outcomes) .


Well, the total number of possible outcomes is easy. It's


(6 possibilities for the first cube) x (6 possibilities for the 2nd cube)


= 36 total possible ways for two cubes to roll.


Now, how many of those possibilities show either 4 or 7 ?


Well, here's how a 4 can come up:


1 . . . 3

2 . . . 2

3 . . . 1


and here's how a 7 can come up:


1 . . . 6

2 . . . 5

3 . . . 4

4 . . . 3

5 . . . 2

6 . . . 1 .


So there are 9 ways all together for Lenny to be successful.


The probability is (9/36) .


That's 1/4 , or 25% .

7 0
3 years ago
Read 2 more answers
Riley and Erik have earned a total of 135 tokens to buy items in the school store. The ratio of the number of tokens that Riley
lisabon 2012 [21]

Answer:

<em>Riley has 72 tokens</em>

Step-by-step explanation:

<u>System of Equations </u>

We have two conditions for the tokens Riley and Erik have earned. Let's call x and y to the number of tokens of Riley and Erik respectively. The first condition states that

x+y=135

Solving for y

y=135-x

The second condition is that the ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. It's written as

\displaystyle \frac{x}{y}=\frac{8}{7}

Or equivalently

7x=8y

Replacing y from the first equation

7x=8(135-x)

Operating

7x=1080-8x

Simplifying

15x=1080

\boxed{x=72}

Riley has 72 tokens

3 0
3 years ago
Select all irrational numbers.
const2013 [10]
The answers are A and D.
The numbers that you cannot simplify without having a radical in the answer are irrational numbers. 

√(4/16) = 1/4 or -1/4, rational number
√(9/16) = 3/4 or -3/4, rational number
√(9/4) = 3/2 or -3/2, rational number

√(3/16) = √(3)/4, NOT a rational number, cannot remove radical
√(3/4) = √(3)/2, NOT a rational number, cannot remove radical 
5 0
3 years ago
Read 2 more answers
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