All categories

3 years ago

Solve -1/3w -3/5 = 1/5w

Mathematics

2 answers:

Dmitrij [34]3 years ago

7 0

Answer:

w= -9/8

Step-by-step explanation:

-1/3w -3/5 = 1/5w

+1/3w +1/3 w

-3/5=1/5w+1/3w

Make common denominators to combine like terms of the right

-3/5=1/5w+1/3w

*3 *5

-3/5=3/15w+5/15w

-3/5=8/15w

multiply both sides by the reciprocal of 8/15 which is 15/8

-3/5*15/8=8/15w*15/8

$\frac{-3}{5}$ * $\frac{15}{8}$ ----> cross reduce 5 in the denominator becomes 1 and 15 in the numerator becomes 3

$\frac{-3}{1}$ * $\frac{3}{8}$ -----> now multiply across

w= -9/8

Pie3 years ago

6 0

Answer: -6/7

Step-by-step explanation:

-1/2w-3/5=1/5w

-w/2 - 3/5=w/5

Collect like terms

w/5 + w/2=-3/5

(2w + 5w)/10=-3/5

7w/10=-3/5

Cross multiply

7w x 5=-3 x 10

35w=-30

Divide both sides by 35

35w/35=-30/35

w=-6/7

You might be interested in

If $4000 is borrowed at a rate of 16% interest

Gemiola [76]

Answer:

(a) $7492

(b) $10,253

(c) $14,032

Step-by-step explanation:

As we know, the final Amount can be calculated with the formula for compound interest,

A = P(1 + \frac{r}{n} )^{nt}

where,

A = Final Amount due

P = Initial principal amount borrowed

r = rate of interest in decimal

n = number of times applied per time period

t = total time period

Now, according to the given data,

(a) in 4 years ;-

⇒ $A = 4000(1 + \frac{0.16}{4} )^{4(4)}$

⇒ $A = 7492$

(b) in 6 years ;-

⇒ $A = 4000(1 + \frac{0.16}{4} )^{4(6)}$

⇒ $A = 10,253$

⇒ $A = 4000(1 + \frac{0.16}{4} )^{4(8)}$

⇒ $A = 14,032$

6 0

3 years ago

The weight of a bull clad is 388 kilograms. If it’s weight increases at a rate of 1 2/5 kilograms per day how long it will take

Alex73 [517]

Answer:

It will take 80 days for the bull calf to reach a weight of 500 kilograms.

Step-by-step explanation:

Given:

The weight of a bull calf is 388 kilograms.

Now, to find the weight of bull calf of how long it will take to reach a weight of 500 kilograms, if it’s weight increases at a rate of 1 2/5 kilograms per day.

Required weight which to be increased = 500 - 388 = 112 kilograms.

Rate of weight increase = $1\frac{2}{5}=\frac{7}{5}$

= $1.4\ kilograms.$

Thus, the time required = $\frac{required\ weight}{rate\ of\ weight}$

= $\frac{112}{1.4}$

= $80.$

The time required = 80 days.

Therefore, it will take 80 days for the bull calf to reach a weight of 500 kilograms.

5 0

3 years ago

Find the area of a circle with a diameter of 6. Either enter an exact answer in terms of pi or use 3.14 for pi

ankoles [38]

So it gives you the diameter but you need the radius of the circle to find the area so to find the radius you just divide the diameter by two. the formula for the area of a circle is A=pi*r^2 so you just multiply 3.14 by 3 squared so you just put it in the calculator as A=3.14*3^2 and you get 28.26 hope this helped

4 0

3 years ago

Find the midpoint of the segment with the given endpoints. (-10.2) and (0,-7)

iris [78.8K]

Answer:

$=\left(-5,\:-\frac{5}{2}\right)$

Step-by-step explanation:

$\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:2\right),\:\left(x_2,\:y_2\right)=\left(0,\:-7\right)\\\\=\left(\frac{0-10}{2},\:\frac{-7+2}{2}\right)\\\\= (\frac{-10}{2} , \frac{-5}{2})\\ \\=\left(-5,\:-\frac{5}{2}\right)$

7 0

3 years ago

Richard wants to find out his current grade in math dass after taking five quizzes. Which measure of center

Salsk061 [2.6K]

Answer:

question does not seem complete, from what i know it sounds like he should add up the test scores and divide it by five, that will give him his average which should be his grade, please update question if possible

i hope this helped ;)

7 0

3 years ago