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Vinil7 [7]
3 years ago
10

If Marie were to paint her living room alone, it would take 7 hours. Her sister Barbara could do the job in 8 hours. How many ho

urs would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
4 0

Answer:

\sf\longmapsto \:  3.73 hours

Step-by-step explanation:

\sf\longmapsto \:  \frac{1}{7 } +  \frac{1}{8}

\sf\longmapsto \:  \frac{15}{56}

Now, Reciprocal–

\sf\longmapsto \:  \frac{56}{15}

\sf\longmapsto \:  3.73 hours

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HELP PLZZ!!!!!!!! Look at this equation: 2 H2 + O2 --> 2 H2O. Why isn't there any coefficient in front of oxygen?
HACTEHA [7]

Answer:

D. All of these

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
30 POINTS! Please answer and show work for both!
monitta

The recommended approach for such equations is to eliminate fractions first, by multiplying by the LCM of the denominators. You can simply simplify, then work them as a 2-step linear equation, doing your arithmetic with the fractions as they are.

a) (5x-1)/7 + (4x-3)/2 -(3-2x)/2 = 6 . . . . . given

... 2(5x -1) +7(4x -3) -7(3 -2x) = 84 . . . . . multiply by 14

... 10x -2 +28x -21 -21 +14x = 84 . . . . . . eliminate parentheses

... 52x -44 = 84 . . . . . . . . . . . . . . . . . . . . collect terms

... 52x = 128 . . . . . . . . . . . . . . . . . . . . . . . add 44

... x = 32/13 . . . . . . . . . . . . . . . . . . . . . . . . divide by 52 and simplify

b) (4x−3)/2 − (5−2x)/3 − (3x−4)/3 = 5 . . . given

... 2x -3/2 -5/3 +(2/3)x -x +4/3 = 5 . . . . . . .eliminate parentheses

... (5/3)x -11/6 = 5 . . . . . . . . . . . . . . . . . . . . simplify

... (5/3)x = 41/6 . . . . . . . . . . . . . . . . . . . . . . add 11/6

... x = (41/6)/(5/3) = 41/10 . . . . . . . . . . . . . .divide by the coefficient of x

_____

Using the first method, you're dealing with integers and you can do a lot of the math in your head. Using the second method, you're dealing with fractions and mixed numbers. A calculator can be helpful, especially if it handles arithmetic with fractions nicely, as many graphing calculators do.

6 0
3 years ago
Is 7 a solution of 5x - 3 = 12?
V125BC [204]

Answer:

no

Step-by-step explanation:

5x - 3 = 12

5x=12+3

x=15/5=3

x=3

substitute x with 7 to find if it is a solution :

5(7)-3=12

35-3 ≠12 ( so no 7 is not a solution)

3 0
3 years ago
Angie makes a spicy salsa by adding red pepper flakes to a chunky tomato mix in proportional amounts. For example she mixes 1/2
Nastasia [14]

Answer:

Please read the answer below.

Step-by-step explanation:

1. Let's represent the relationship between red pepper flakes, in teaspoons, to tomato mix, in cups in a table

Red pepper (teaspoons)   1/2    1    1 1/2   2  2 1/2   3  3 1/2   4  4 1/2   5      

Tomato mix (cups)              2     4       6     8    10     12   14     16   18    20

2. Let's represent the relationship between red pepper flakes, in teaspoons, to tomato mix, in cups writing a equation:

t = amount of tomato mix cups

r = amount of red pepper flakes teaspoons

As we can see in the table,

<u>t = 4r</u>

8 0
3 years ago
Carol used 1.8 gallons of paint for a barn.She used 1/5 of the remaining paint for a dog house. She had 2/7 paint left. How much
Lilit [14]
1 4/5 + 1/5 + 2/7 =

1 28/35 + 7/35 + 10/35 =

1 45/35 = 2 35/45 =

2.78 gallons rounded to the nearest hundredth
5 0
3 years ago
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