All categories

2 years ago

Solve the equation. 5/6 x-4 = -2

Mathematics

1 answer:

lora16 [44]2 years ago

7 0

Answer:

2 2/5

Step-by-step explanation:

5/6 x-4 = -2

Add 4 to each side

5/6 x-4+4 = -2+4

5/6 x = 2

Multiply by 6/5 to isolate x

6/5 *5/6 x = 6/5 *2

x = 12/5

Changing this from an improper fraction

5 goes into 12 2 times with 2 left over

x = 2 2/5

You might be interested in

What is the median of 68, 69, 71, 71, 71, 73, 74, 75, 75, 78

Yanka [14]

Answer:

Step-by-step explanation:

cross out 4 from left to right, right to left, you get 71 and 73, the mean of those two numbers is 72

3 0

2 years ago

Solve for x: 2 over 3 (x − 4) = 2x

brilliants [131]

X = 7 just got it though Symbolab

8 0

2 years ago

Challenger Elementary School has 8 0 0 800800 students. Every Wednesday, 1 2 % 12%12, percent of the students stay after school

Juliette [100K]

You need to calculate 12% of 800.

To find a percent of a number, multiply the percent by the number.
Change the percent into a decimal by dividing the percent by 100 (move the decimal point of the percent two places to the left.)

12% of 800 =

= 12% * 800

= 0.12 * 800

= 96

Answer: 96 students

6 0

2 years ago

A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5

liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

$Q(t) = Q(0)e^{rt}$

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that $Q(5730) = 0.5Q(0)$

$Q(t) = Q(0)e^{rt}$

$0.5Q(0) = Q(0)e^{5730r}$

$e^{5730r} = 0.5$

$\ln{e^{5730r}} = \ln{0.5}$

$5730r = \ln{0.5}$

$r = \frac{\ln{0.5}}{5730}$

$r = -0.00012$

$Q(t) = Q(0)e^{-0.00012t}$

How old is the fossil?

This is t for which

$Q(t) = 0.8Q(0)$

$Q(t) = Q(0)e^{-0.00012t}$

$0.8Q(0) = Q(0)e^{-0.00012t}$

$e^{-0.00012t} = 0.8$

$\ln{e^{-0.00012t}} = \ln{0.8}$

$-0.00012t = \ln{0.8}$

$t = -\frac{\ln{0.8}}{-0.00012}$

$t = 1860$

The fossil is 1860 years old.

4 0

2 years ago

Can anyone answer this please i need to be for sure I’m right

Genrish500 [490]

The answer to this question is B, (-infinity, -28].

We can get this answer by first multiplying each side of the inequality by 7. That would get rid of the fraction. When one does that, the result is d + 28 $\leq$ 0. That means that d $\leq$ -28. In interval notation, which is the notation the problem is asking us, that would be (-infinity, -28], since d is all values less than -28 this includes infinity, but it also includes -28, so there is a ] around it. That means that the answer to this question is B, (-infinity, -28].

7 0

2 years ago