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nexus9112 [7]
3 years ago
8

114 = 3 (y + 18) what is the missing value

Mathematics
1 answer:
Serga [27]3 years ago
4 0

Answer:

y= 20

Step-by-step explanation:

114 = 3y + 54

114 - 54 = 3y

60 = 3y

y = 60 ÷ 3

y = 20

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A ferry traveled 1/6 of the distance between two ports in 3/7 hour at this rate what fraction of the distance between the two po
Masja [62]
First, we determine the speed of the ferry by dividing the distance by the time it took to cover that certain distance. 
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                                   speed = 7/18
Then, the distance it will travel for an hour is calculated through the procedure below. 
                         distance = (7/18hour) x (1 hour)
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Therefore, after an hour, the ferry will be able to travel 7/18 of the distance between two ports. 
4 0
3 years ago
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8 0
3 years ago
3<br>Find the value of a <br>in the equation,(3+4√3)(2-a√3)=-18+2√3​
ankoles [38]

Given:

The equation is:

\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}

To find:

The value of a.

Solution:

We have,

\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}

On simplification, we get

(3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}

6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}

6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}

(6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}

On comparing both sides, we get

6-12a=-18

-12a=-18-6

a=\dfrac{-24}{-12}

a=2

And,

8-3a=2

-3a=2-8

a=\dfrac{-6}{-3}

a=2

Therefore, the value of a is 2.

3 0
3 years ago
A spinner is divided into nine equal sections numbered 1 through 9. Predict how many times out of 270 spins the spinner is most
polet [3.4K]

Question 1: 150

Question 2: 50

Question 3: 58% chance

Question 4: Choosing a set of parallel side on a polygon.

Question 5: 1/6

Question 6: 1/5

Question 7: ?

Question 8: Rolling a number greater than 1

Question 9: 1/12

Question 10: 30

Question 11: ?

Question 12: A green marble is selected.

Hope I helped I tried as much as possible.

3 0
3 years ago
Marianne tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 se
Lesechka [4]

Answer:

225 milliliters

Step-by-step explanation:

Marianne tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 seconds 148 5 milliliters of slushy remains. how much slushy was originally in the cup?

let x = slushy originally in the cup

total slushy consumed in 17 seconds = 17 x 4.5 = 76.5 ml

x - 76.5 = 148.5

collect like terms

x = 148.5 + 76.5

x = 225 ml

4 0
3 years ago
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