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Ahat [919]
3 years ago
15

Please solve the problem: 1/2(6x-4)=4x-9

Mathematics
1 answer:
pentagon [3]3 years ago
8 0
\frac{1}{2}(6x-4)=4x-9\ \ \ | multiply\ by\ 2\\\\
6x-4=8x-18\ \ \ | add\ 4\\\\
6x=8x-14\ \ \ | subtract\ 8x\\\\
-2x=-14\ \ \ | divide\ by\ -2\\\\
x=7\\\\Solution\ is\ x=7.
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A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller. Which call will be the f
Ymorist [56]

Answer:

120th caller

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

$100 bill = 30th caller

Movie tickets = 40th caller

So, to find out first to win both prizes, we will use LCM method,

LCM of 30 and 40 =       10 | 30 , 40

                                            | 3    , 4

LCM of 30 and 40 = 10 × 3 × 4 = 120

Hence, 120th caller will be the first to win both prizes.

3 0
3 years ago
Please answer right away
Andreas93 [3]

Answer:

20 miles with an error margin of  ± 8 miles

Step-by-step explanation:

The margin of error of a result is the range in which an error can vary. To find the margin of error between both distances we have to

28-12 = 16, that is, the variation of the result has a range of 16 miles. So we will look for the midpoint of both distances

(X2-X1)/2+X1=(28-12)/2+12=16/2+12=8+12=20

So from this midpoint the value can vary between 8 points below and 8 points above that would cover the difference of 16 miles that we observed at the beginning

In this way, the correct answer is 20 miles with an error margin of  ± 8 miles

Done

8 0
3 years ago
A colleague has been tutoring six students in 11th grade to prepare for the ACT. This colleague has asked you to evaluate the pe
marissa [1.9K]

We have been given that a colleague has been tutoring six students in 11th grade to prepare for the ACT. Student scores were as follows: 20, 18, 16, 15, 23, 20. We are asked to find the mean of the ACT scores.

We will use mean formula to solve our given problem.  

\text{Mean}=\frac{\text{Sum of terms}}{\text{Number of terms}}

\text{Mean}=\frac{20+18+16+15+23+20}{6}

\text{Mean}=\frac{112}{6}

\text{Mean}=18.66666

Upon rounding to nearest whole number, we will get:

\text{Mean}\approx 19

Therefore, the mean of the ACT scores is 19 and option 'c' is the correct choice.

5 0
3 years ago
it takes 47 minutes for 7 people to paint 7 walls. how many minutes does it take 20 people to paint 20 walls?
4vir4ik [10]

Answer:

7 people, 7 walls, 48 minutes

 

Each person paints 1 wall in 48 minutes

 

20 persons, 20 walls


Each person can paint 1 wall in 48 minutes so it will  take 48 minutes.



6 0
2 years ago
Convert 1.375 to decimal fraction؟
AlexFokin [52]

Step-by-step explanation:

11/8 if I'm not wrong

...

5 0
2 years ago
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