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solmaris [256]
3 years ago
13

There are 4 cups in 1 quart. To wash windows, 2 cups of Rid-a-Spot are to be mixed with 5 cups of water. How many quarts of this

mixture can be made from the 1-quart container of Rid-a-Spot? Express your answer as a decimal to the nearest tenth.
Mathematics
1 answer:
Rama09 [41]3 years ago
7 0

Answer:

3.5 quarts of this mixture can be made from the 1-quart container of Rid-a-Spot.

Step-by-step explanation:

2 cups of Rid-a-Spot are to be mixed with 5 cups of water.

Then cups of water require for 1 cup of Rid-a-Spot = \frac{5}{2} cup=2.5 cup

Given :  4 cups = 1 quart

1 cup=\frac{1}{4} quart=0.25 quart

2.5 cup=\frac{2.5}{4} quart=0.625 quart

So, 0.25 quart of Rid-a-Spot requires 0.625 quarts of water.

Then 1 quart of Rid-a-Spot requires :

\frac{0.625 quarts}{0.25}=2.5 quart of water

Total volume of the mixture = 1 quart + 2.5 quart=3.5 quart

3.5 quarts of this mixture can be made from the 1-quart container of Rid-a-Spot.

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3/7 of the people living in the apartment building are men. 5/8 of the remaining are women. The rest are children. A total of 27
Vladimir [108]
People in building ---- x (men, women and children)
children --- y
men + women + children = x
(3/7)x + (5/8)(4/7)x + y = x
3x/7 + 5x/14 + y = x
times 14
6x + 5x + 14y = 14x
14y = 3x

y + 220 =x
sub into the other one
14y = 3(y+220)
11y = 660
y = 60
then 14(60) = 3x ---> x = 280

So we have 280 people in the building.

check: 3/7 of 280 are men = 120
leaving 160 women and children
5/8 of these ot 100 are women

so we have 120 men, 100 women and 60 children!

hope this is right! have a great. day
7 0
3 years ago
I need help with problem 27,28,29
Rom4ik [11]
27 has to be C
I can't see the whole question for 28 and 29
5 0
4 years ago
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Hey ill give brainlist
TEA [102]

Answer:

2.\:\frac{41}{9}

Step-by-step explanation:

Recall that \frac{x}{9}=\lfloor \frac{x}{9} \rfloor + 0.\overline{[x\:\mod9]}.

Therefore, 4.\bar{5}=\frac{4\cdot 9 + 5}{9}=\fbox{$2)\:\frac{41}{9}$}.

5 0
3 years ago
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Write a polynomial function in standard form given the zeros.<br><br> -1/2, -5 + i
Rama09 [41]

Answer:

y = x³ + 10.5x² + 31x + 13

Step-by-step explanation:

Complex roots (roots that have imaginary terms) always come in conjugate pairs.  So if one root is -5 + i, there's another root that's -5 − i.

So the polynomial is:

y = (x + 1/2) (x − (-5 + i)) (x − (-5 − i))

Distributing:

y = (x + 1/2) (x² − (-5 + i)x − (-5 − i)x + (-5 + i)(-5 − i))

y = (x + 1/2) (x² + 5x − ix + 5x + ix + (-5 + i)(-5 − i))

y = (x + 1/2) (x² + 10x + (-5 + i)(-5 − i))

y = (x + 1/2) (x² + 10x + 25 + 5i − 5i − i²)

y = (x + 1/2) (x² + 10x + 25 + 1)

y = (x + 1/2) (x² + 10x + 26)

y = x(x² + 10x + 26) + 1/2(x² + 10x + 26)

y = x³ + 10x² + 26x + 1/2x² + 5x + 13

y = x³ + 10.5x² + 31x + 13

8 0
3 years ago
What is the distance between the points (4, 5) and (10, 13) on a coordinate plane?
DerKrebs [107]

Answer:

10

Step-by-step explanation:

Distance = √(x2-x1)² + (y2-y1)²

d = √(10-4)² + (13-5)²

d = √6² + 8²

d = √36+364

d = √100

d = 10

6 0
4 years ago
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