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devlian [24]
3 years ago
12

Which expression is equivalent to −1/4x+1/2?

Mathematics
1 answer:
Marat540 [252]3 years ago
3 0
D. 1/4 (-x+2)                  

-x+2/4

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Working together, it takes Sam, Jenna, and Francisco two hours to paint one room. When Sam works alone, he can paint one room in
lutik1710 [3]

Answer:  12 hours

Step-by-step explanation:

Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.

When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.

Let 't' be the time taken by Francisco to paint one room on his own.

Then , we have

Rate of work of  Sam +Rate of work of Jenna + Rate of work of  Francisco =Rate of work they all do together

\dfrac{1}{6}+\dfrac{1}{4}+\dfrac{1}{t}=\dfrac{1}{2}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{4+6}{24})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{10}{24}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{5}{12}

i.e.  \dfrac{1}{t}=\dfrac{6-5}{12}

i.e.  \dfrac{1}{t}=\dfrac{1}{12}

i.e. t= 12

Hence,  Francisco would take 12 hours to  paint one room on his own.

8 0
3 years ago
Find the measure of an angle whose complement is five times its measure.
ch4aika [34]

Answer:

The measure of the unknown angle is 15°.

Step-by-step explanation:

Represent this angle by A.  Then the complement of A is 90° - A.

"Angle whose complement is five times its measure" would be expressed as

90° - A = 5A

Solve this for A by adding A to both sides:

90° = 6A.  Then A = 90°/6, or 15°

4 0
3 years ago
What is the soulation to 2x - 8 greater than 12
Masteriza [31]

Answer:

x > 10

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
You buy the following materials for the new extension. Calculate the cost of the bricks and cement and then work out the total c
bogdanovich [222]

<u>Answer:</u>

Cost of sand = £150

Cost of bricks =  £157.5

Cost of cement = £134

Total cost = £441.50

<u>Step-by-step explanation:</u>

We are given that:

2 tonnes of sand  is for £75.00 per tonne,

20 bags of cement  are for £6.70 per bag,

350 bricks at 45p each,

So, 2 tonnes of sand  at £75.00 per tonne = 2 * £75.00 = £150.00

20 bags of cement  at £6.70 per bag = 20 * £6.70 = £134.00

350 bricks at 45p each = 350 * £0.45 = £157.50

Therefore, the total cost of all the materials = £150 + £134 + £157.5 = £441.50

7 0
3 years ago
Can someone help me please
gladu [14]

Answer:

to find how many sales Ross made in a day divide 27 by 3 and to find Mona's divide 49 by 7 since there is 7 days in a week

Step-by-step explanation:

27/3 = 9 so Ross made 9 sales in a day

49/7 = 7 so Mona made 7 sales in a day

9>7

therefore Ross made more sales

6 0
2 years ago
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