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BlackZzzverrR [31]
3 years ago
6

Working alone, John can complete a task in 150 minutes. Kasey can complete the same task in only 120 minutes. John and Kasey wor

k together for 30 minutes and then Alicia joins in. Together they finish the task 20 minutes later. How long would it take Alicia to complete the task by herself?
Mathematics
1 answer:
Ganezh [65]3 years ago
3 0

Answer:

I may be wrong but I think it is 10 minutes.


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What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?
Dafna1 [17]

Step 1

<u>Find the slope of the given line</u>

we have

3x+4y=15

Isolate the variable y

Subtract 3x both sides

3x+4y-3x=15-3x

4y=-3x+15

Divide by 4 both sides

y=-\frac{3}{4}x+ \frac{15}{4}

the slope of the given line is

m=-\frac{3}{4}

Step 2

Find the equation of the line that passes through  the point (8,-2) and is parallel to the given line

we know that

if two lines are parallel, then their slopes are equal

The equation of the line into point-slope form is equal to

y-y1=m(x-x1)

we have

m=-\frac{3}{4}

(x1,y1)=(8,-2)

substitute in the equation

y+2=-\frac{3}{4}(x-8)

y=-\frac{3}{4}x+6-2

y=-\frac{3}{4}x+4  or  3x+4y=16

therefore

<u>the answer is</u>

y=-\frac{3}{4}x+4

or

3x+4y=16

8 0
3 years ago
The dinner bill came to $24.29 before tax and tip. If the taxes were 6% and they decided to leave an 18% tip, what was the total
olga_2 [115]

Answer:

$30.64 +6% tax and 18% tip

Step-by-step explanation:

Hope it helps

3 0
3 years ago
A sequence of numbers a1, a2, a3, . . . is defined as follows: a1 = 3, a2 = 5, and every term in the sequence after a2 is the pr
Dmitry [639]

Answer:

  (D)  t^4

Step-by-step explanation:

You have defined ...

  a3 = a2·a1

  a4 = a3·(a2·a1) = a3²

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Then if a3 = t, a5 = t⁴

6 0
3 years ago
Here is a growing pattern of squares:
Flura [38]

Answer:

squares in Step n. f (n) = 8 + 3(n – 1} for n > 1 /(1) = 8, /{n2) = 3+f (n – 1) for n > 2 01)= 8, 7 (n) = 8= ƒ(n=1) forn> 2 Df1)= 3 -8 (n- 1) forn > 1 Of (n) - 37 + 5 for n > 1 32+5 for n>1 CS (n) 3+ an forn 1

Step-by-step explanation:

3 0
2 years ago
The diameter of the base of right cone 12 cm . The total surface area of the cone is 306 cm^2
inn [45]
           A = πr² + πrl
  306.00 = 3.14(6)² + 3.14(6)(l)
  306.00 = 3.14(36) + 3.14(6l)
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- 113.04  - 113.04
  192.96 = 18.84l
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    10.24 ≈ l
7 0
3 years ago
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