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wel
3 years ago
5

What is the quotient?

Mathematics
1 answer:
otez555 [7]3 years ago
7 0
The final answer will be negative because a positive divided by a negative is a negative. Let's condense this into...
-(158÷135)
How many 135s are in 158? One, because two "135s" (which is 270) is greater than 158, but 135 isn't. So we know the mixed number will be 1 + (a fraction). What's the Fraction? We can find this by subtracting 135 from 158, (158 - 135) = 23. The fraction is 23/158.

The answer is, -1, 23/158.

You might be interested in
How many liters of a 10% antifreeze solution and a 40% antifreeze solution must be mixed to make 15 liters of a 25% solution? Ro
butalik [34]

Answer:

7.5 liters of a 10% antifreeze solution AND

7.5 liters of a 40% antifreeze solution

Step-by-step explanation:

According to the question,we were asked to find out how many liters of 10% anti freeze solution and 40% anti freeze each to make a 15 liters 25% mixture

Let’s call

the amount of liters needed of our 10% solution “x”. So, how

many liters do we need of the 40% solution? Well, there are 15

liters in total, x liters have been spoken for, so what remains

of our allotted 10 liters then, is 15-x.

Now let's solve for "x"

10% of x + 40% of (15 - x) = 25% of 15 liters

0.1x + 0.4(15 - x) = 0.25(15)

0.1x + 6 - 0.4x = 3.75

Collect the like terms and we have

0.3x = 2.25

x = 2.25 × 3

X = 7.5(Liters for the 10% anti freeze solution)

The 40% solution= 15 - 7.5 = 7.5 liters

Since "X" was used to fill for the unknown amount of 10% anti freeze solution,we have 7.5 liters of the 10% solution and another 7.5 liters for the 40% solution to end up with 15 liters of the desired 25% solution.

8 0
3 years ago
What is the result of 4/ 1/2
Gemiola [76]

\bf \cfrac{~~4~~}{\frac{1}{2}}\implies \cfrac{~~\frac{4}{1}~~}{\frac{1}{2}}\implies \cfrac{4}{1}\cdot \cfrac{2}{1}\implies 8

7 0
3 years ago
Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8.
AlladinOne [14]

Answer:

(1,6) & (7,0)

Step-by-step explanation:

y = -x + 7

y = -0.5(x - 3)² + 8

To solve the system, solve these two equations simultaneously

-x + 7 = -0.5(x - 3)² + 8

-x + 7 = -0.5(x² - 6x + 9) + 8

-x + 7 = -0.5x² + 3x - 4.5 + 8

0.5x² - 4x + 3.5 = 0

x² - 8x + 7 = 0

x² - 7x - x + 7 = 0

x(x - 7) - (x - 7) = 0

(x - 1)(x - 7) = 0

x = 1, 7

y = -1 + 7 = 6

y = -7 + 7 = 0

(1,6) (7,0)

Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)

8 0
3 years ago
A bag is filled with marbles. You take out and mark 80 marbles. Then you put the marbles back in the bag and mix the marbles. In
noname [10]
About 400 marbles. You simply set up a proportion and solve it as I did in the photo attached.

3 0
3 years ago
Read 2 more answers
Farmer McDonald is building a fence around his pasture he is placing posts 6 feet apart and will stretch wire between them if th
rjkz [21]
Well 36 divided by 6 is 6 so multiply that by two and you get 12 14 divided by 6 is 2.3 round that to 2 and multiply it by 2 you get 4 4 +12 is 16 so 16 should be your answer 
8 0
3 years ago
Read 2 more answers
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