All categories

2 years ago

What is the solutior to the equation 5j = 2/3

Mathematics

1 answer:

kvasek [131]2 years ago

8 0

Answer:

j = 0.13333333333

j = 4/30

just divide both sides by 5 my friend

You might be interested in

A scientist is studying the population growth rates of two different species of rats in the same laboratory conditions. The popu

Korolek [52]

Since, population of species A is represented by : $P=2^{x} +19$

Let us find the population of species A, at the end of week 1:

i.e., x = 1

i.e., $P(1)=2^{1} +19$

i.e., $P(1)=2 +19$

i.e., $P(1)=21$

Also, since population of species B is represented by : $P=3^{x} +18$

Let us find the population of species B, at the end of week 1:

i.e., x = 1

i.e., $P(1)=3^{1} +18$

i.e., $P(1)=3 +18$

i.e., $P(1)=21$

Thus, at the end of 1 week, species A and species B will have the same population.

Hence, option D is correct.

4 0

3 years ago

Use the menu provided to answer the following question. If a student purchased 1 can of juice, 2 slices of pizza, 1 bag of peanu

pochemuha

Answer:

$8.25

Step-by-step explanation:

1.25+(2.25x2)+1.00+(1.25x2)=8.25

3 0

2 years ago

Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC

e-lub [12.9K]

Answer:

$DC=\frac{8}{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

In the right triangle ABM

Applying the Pythagorean Theorem

$BM^2=AB^2-AM^2$

we have

$AB=5\ units\\AM=x\ units$

substitute

$BM^2=5^2-x^2$

$BM^2=25-x^2$ -----> equation A

In the right triangle BMC

Applying the Pythagorean Theorem

$BM^2=BC^2-MC^2$

we have

$BC=7\ units\\MC=AC-AM=(9-x)\ units$

substitute

$BM^2=7^2-(9-x)^2$

$BM^2=49-(81-18x+x^2)$

$BM^2=49-81+18x-x^2$

$BM^2=-x^2+18x-32$ ----> equation B

equate equation A and equation B

$-x^2+18x-32=25-x^2$

solve for x

$18x=25+32\\18x=57\\\\x=\frac{57}{18}$

Simplify

$x=\frac{19}{6}$

Find the length of DC

$DC=AC-2x$

substitute the given values

$DC=9-2(\frac{19}{6})$

$DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units$

8 0

3 years ago

Decide Whether each statement is true or false:

vazorg [7]

If they’re about coordinates, the first one is true and the next two are not.
But if it’s not about coordinating they’re all true.

8 0

2 years ago

Read 2 more answers

Brittany and Ashley can paint a room in 7 hours if they work together. If Ashley were to work by himself, it would take him 2 ho

stich3 [128]

Answer:

Step-by-step explanation:

Brittany paints the room in x hours, completing 1/x of the room per hour.

Ashley paints the room in x+2 hours, completing 1/(x+2) of the room per hour.

Working together, they complete 1/x + 1/(x+2) = ⅐ of the room per hour.

7(x+2) + 7x = x(x+2)

14x + 15 = x^2 + 2x

x^2 - 12x - 15 = 0

x = [12 ±√(12²+60)]/2= 6±√51

6-√51 is an extraneous solution.

x = 6+√51 ≈ 13.14

Brittany paints the room in 12.14 hours

3 0

2 years ago