All categories

3 years ago

Find the value of the variable such that: the value of 5−a is 20 greater than the value of 6a−1

Mathematics

1 answer:

vovangra [49]3 years ago

4 0

Answer:

-2

Step-by-step explanation:

(5 - a) = 20 + (6a -1) . . . . . 5-a is 20 greater than 6a-1

5 = 7a +19 . . . . . . . . . . . . . add a, collect terms

-14 = 7a . . . . . . . . . . . . . . . subtract 19

-2 = a . . . . . . . . . . . . . . . . divide by 7

The value of the variable is -2.

_____

<u>Check</u>

5 - (-2) = 7

6(-2) -1 = -13

7 is 20 greater than -13, so the answer checks OK.

You might be interested in

Rationalise the denominator <br>

Margaret [11]

Step-by-step explanation:

1. $\frac{2 \sqrt{3} }{ \sqrt{5} }$

multiply

$\sqrt{5}$

do both the numerator and denominater

$\frac{2 \sqrt{3} }{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } = \frac{2 \sqrt{15} }{ \sqrt{25} } = \frac{2 \sqrt{15} }{5}$

8 0

3 years ago

Experiments with repeated independent trials will be described by the binomial distribution if

bija089 [108]

Answer:

d. each trial has exactly two outcomes whose probabilities do not change

Step-by-step explanation:

A binomial experiment is one where there are exactly two outcomes for each trial and probability for getting success is constant in each trial.

In other words, each trial is independent of the other.

The trials need not be continuous nor time between trials to be constant.

Since trials are to be independent, each trial cannot influence the next.

Only option d is right.

d. each trial has exactly two outcomes whose probabilities do not change

Examples are tossing of coins, throwing dice, drawing cards or balls with replacement, etc

7 0

3 years ago

A proofreader reads 200 pages in 8 hours. How many pages does the proofreader read in 30 minuets

umka21 [38]

If 200/8=25 per hour, then i divided that by 2 to get 12.5 for 30 minutes.

6 0

3 years ago

Find the distance between the two points. Round to the nearest tenth if necessary. (6, 11), (0, 3) a. 10 b. 14 c. 15 d. 100

lorasvet [3.4K]

Answer: option a

Step-by-step explanation:

You must apply the formula for calculate the distance between the two points. which is shown below:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Therefore, keeping on mind that the points given in the problem are (6, 11), (0, 3), when you substitute values into the formula shown above, you obtain that the distance between these two points is the following:

$d=\sqrt{(0-6)^2+(3-11)^2}\\d=10$

8 0

3 years ago

Read 2 more answers

Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to

Zinaida [17]

Answer: 0

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers