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emmasim [6.3K]
2 years ago
13

P P,Q and R can finish a task in 8, 10 and 12 hours respectivly.They started working together but after 3 hours, P and R left. H

ow long will Q take to finish the task now?​
Detail it
Mathematics
1 answer:
zimovet [89]2 years ago
7 0

Answer:

45 minutes

Step-by-step explanation:

Assume task completed in total x hours

\frac{x}{10} + \frac{3}{8} + \frac{3}{12} = 1 \\ 12x + 45 + 30 = 120 \\ 12x = 45 \\ x = \frac{15}{4} = 3 \frac{3}{4}

So q will take 45 more minutes

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Show all work:
DerKrebs [107]

Answer:

m=-3

Step-by-step explanation:

m - 7 = -10

Ok so,

in order to get m by itself you just need to do the opposite of -7 which is +7 so you have to add 7 to both sides. On the left, both of the 7's cancel out and on the right -10 + 7 = -3. So, now it should look like this.

m=-3

To check you just need to plug in -3 into the question

Hope this helps! Have a good day

4 0
3 years ago
Given the trinomial 2x2 + 4x + 4, predict the type of solutions.
rodikova [14]
Trinomial 2x² + 4x + 4.

It's of the form ax²+bx+c and it's discriminant is Δ=b² - 4.a.c 

(in our case Δ = 4² - (4)(2)(4) → Δ = - 32

We know that: x' = -1 + i     and x" = -1 - i

If Δ > 0 we have 2 rational solutions x' and x"

If Δ = 0 we have1 rational solution x' = x"

If Δ < 0 we have 2 complex solutions x' and x", that are conjugate

In our example we have Δ = - 16 then <0 so we have 2 complex solutions

That are x'= [-b+√Δ]/2.a      and x" = [-b-√Δ]/2.a

x' = 

4 0
3 years ago
Read 2 more answers
A line has a slope of 6 and a y-intercept of 5. What is its equation in slope-intercept form?
kvasek [131]

Answer:

The equation in slope-intercept form is y = 6x + 5

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

  • m is the slope
  • b is the y-intercept

Let us solve the question

∵ A line has a slope of 6

∵ m is the slope of the line

∴ m = 6

∵ The line has a y-intercept of 5

∵ b is the y-intercept

∴ b = 5

→ Substitute the values of m and b in the slope-intercept form

∵ y = m x + b

∴ y = 6x + 5

∴ The equation in slope-intercept form is y = 6x + 5

3 0
3 years ago
A group of students sold 48 candles in 4 hours.
Degger [83]

Answer: Part A = 12 candles per hour

Step-by-step explanation:

48/4 = 12

6 0
3 years ago
Read 2 more answers
What is 2% as a decimal
Dmitrij [34]

2% as a decimal is .02

5 0
4 years ago
Read 2 more answers
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