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1 year ago

12

Suppose that 5 workers can complete a certain task in 12 days. If there are 4 workers, how many days would it take for them to f

inish the same task

1 answer:

Inga [223]1 year ago

7 0

Answer:

15 days

Step-by-step explanation:

5 workers times 12 days is 60 days per worker which gets reduced based on how many workers there are. 60 divide by 4 workers now brings down to 15 days. 5 workers, 12 days. 10 workers 6 days etc.

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How many ounces of a 19% alcohol solution and a 37% alcohol solution must be combined to obtain 90 ounces of a 24% solution

bogdanovich [222]

Answer:

19% alcohol solution = 65 ounces

37% alcohol solution = 25 ounces

Step-by-step explanation:

Let

19% alcohol solution = x

37% alcohol solution = y

x + y = 90 (1)

0.19x + 0.37y = 90*0.24

0.19x + 0.37y = 21.60 (2)

from (1)

x = 90 - y

Substitute into (2)

0.19x + 0.37y = 21.60

0.19(90-y) + 0.37y = 21.60

17.1 - 0.19y + 0.37y = 21.60

- 0.19y + 0.37y = 21.60 - 17.1

0.18y = 4.5

y = 4.5/0.18

y = 25 ounces

x + y = 90 (1)

x + 25 = 90

x = 90 - 25

x = 65 ounces

6 0

3 years ago

Find f(-2) for f(x) = 3 • 2x

Maksim231197 [3]

Answer:

-12

Step-by-step explanation:

f(-2) = 3 times 2(-2)= -12.

3 0

3 years ago

Read 2 more answers

Write an equation in point slope form for the line with a slope of 3 passes through (1,2)

alexgriva [62]

Answer:

$y-2=3(x-1)$

Step-by-step explanation:

The point-slope form of a line is given as:

$y-y_1=m(x-x_1)$

Where

m is the slope

$x_1$ is the x-coordinate of the point given (passing through the line)

$y_1$ is the y-coordinate of the point given (passing through the line)

Now,

Given,

Slope = m = 3

$x_1$ = 1

$y_1$ = 2

Now, we simply plug these into the formula for point-slope form of a line:

$y-y_1=m(x-x_1)\\y-2=3(x-1)$

This is the point-slope form.

4 0

3 years ago

I suck at figuring out the radius of a circle :c<br> Can someone help please :(

kvv77 [185]

First question:

The line segment that is 40 ft long is a tangent to the circle, meaning it creates a right angle with the radius that intersects it.

Let $r$ be the radius of the circle.

We have a right triangle where the legs are $r$ and $40$ , and the hypotenuse is $(20+r)$

I'm hoping you remember the Pythagorean Theorem because this is going to be an important equation for this problem (and the next).

Let's use the dimensions of the right triangle and create a Pythagorean Theorem truth statement:

$r^2+40^2=(20+r)^2$

Simplify the right side so it's easier to solve

$r^2+1600=400+40r+r^2$

Subtract both sides by r²

$1600=400+40r$

Subtract both sides by 400

$1200=40r$

Divide both sides by 40

$r=30$

The value of r is 30, meaning the radius is 30 feet.

Second question:

Please look at the attached image, it would be too hard to try and describe this in words.

We have a right triangle where the legs have a length of 3.6 and half of the length of KL, which is 4.

The hypotenuse is the radius, x.

Use Pythagorean Theorem's to solve for x

$3.6^2+4^2=x^2$

Simplify

$x^2=28.96$

Use a calculator to take the square root of 28.96

$x=5.3814...$

The image is not complete so I can't see how I have to round it, so here are a few different ways this could be rounded:

To the nearest tenths: $x=5.4$

To the nearest hundredths: $x=5.38$

To the nearest thousandths: $x=5.381$

Answerer's Note:

I'm so sorry this took so long to answer. Let me know if you need any clarifications, thanks!

~ Padoru

3 0

3 years ago

She needs 3/4 cup of water she needs 10 more servings what's the answer A 1/1/5 b 3/1/4 c 7/2/4 d 8/2/3

Eddi Din [679]

<h2><u>Corect option</u> :</h2>

$= \color{plum}\tt(C) 7 \frac{2}{4}$

<h2><u>Answer with steps</u> :</h2>

Quantity of water she needs $= \tt \frac{3}{4} \: cup$

Number of servings she needs = 10

Number of cups of water she will need :

$= \tt \frac{3}{4} \: \times 10$

$= \tt\frac{30}{4}$

$=\tt 7\frac{2}{4} \: cups$

Thus, she needs $\tt 7\frac{2}{4} \: cups$ of water.

Therefore, the correct option is $\color{plum}\tt(C) 7 \frac{2}{4}$

7 0

3 years ago