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Sever21 [200]
3 years ago
13

Amy can mop the store in 30 minutes. James can mop the store in 45 minutes. How long would it take them if they worked together?

Mathematics
1 answer:
zavuch27 [327]3 years ago
5 0
Solve the equation 1/30 + 1/45 = 1/x  

where x is the required time

multiply thru by 90x:-

3x + 2x  = 90

x = 90 / 5 = 18

answer 18 minutes
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A biology test is worth 100 points and has 36 questions.
Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

M + E= 36 --- Number of questions

2M + 6E = 100 --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in M + E= 36

E = 36 - M

Substitute 36 - M for E in 2M + 6E = 100

2M + 6(36 - M) = 100

2M + 216 - 6M = 100

Collect Like Terms

2M - 6M = 100 - 216

-4M = - 116

Divide both sides by -4

M = \frac{-116}{-4}

M = 29

Substitute 29 for M in E = 36 - M

E = 36 - 29

E = 7

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

2M + 6E = 100 would be:

4M + xE = 100

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

4 * 29 + x * 7 = 100

116 + 7x = 100

Subtract 116 from both sides

116-116 + 7x = 100 -116

7x = 100-116

7x = -16

Make x the subject

x = -\frac{16}{7}

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

<em>Your friend is incorrect.</em>

6 0
2 years ago
PLLZZZZZ HELPPP!!!!!!
maks197457 [2]
Ms. Harris commission rate is 11.76 percent
7 0
3 years ago
How many ways can you make change for .55 cents using only nickels, dimes and quarters
lora16 [44]

Answer:

A few ways are:

2 quarters and a nickel

5 dimes and a nickel

1 quarter and 3 dimes

11 nickels


6 0
3 years ago
Which parametric equations represent y = – |x|? Check all that apply.
Alenkasestr [34]

Answer:

The right options are C and E.

Step-by-step explanation:

I got it right on Edge.

7 0
3 years ago
Read 2 more answers
You bought a magazine for $5 and some notepads for $4 each. You spent a total of $24. What is the most amount of notepads you ca
slava [35]

Answer: 4 notepads


Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
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