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babunello [35]
4 years ago
8

What is 0.6 (x-5.1y-8)

Mathematics
1 answer:
grandymaker [24]4 years ago
3 0
This is the simplified answer 0.6x−3.06y−4.8
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The Hendersons went on a driving vacation. They decided to travel 1/3 of the distance on the first day. Owing to bad weather, th
Sloan [31]

Answer:

A)

\displaystyle \frac{1}{12}

B)

\displaystyle \frac{3}{5}

C)

\displaystyle \frac{17}{24}

Step-by-step explanation:

Part A)

The Hendersons were traveling 1/3 of the distance on the first day.

However, they had to stop, having only traveled 1/4 <em>of</em> the 1/3 distance.

So, we can multiply the two fractions together.

Therefore, the fraction of the total distance they traveled is given by:

\displaystyle \frac{1}{4}\times\frac{1}{3}=\frac{1}{12}

The Hendersons traveled 1/12 of the total distance.

Part B)

We are assuming the bottle of milk was full at the beginning.

So, at the beginning, there were 1/1 bottle of milk left.

Howie fed a piglet 1/5 of the bottle. So, there is now:

\displaystyle 1-\frac{1}{5}

Of the bottle left.

Making common denominators and subtracting yields:

\displaystyle =\frac{5}{5}-\frac{1}{5}=\frac{4}{5}

So, after feeding the piglet, 4/5 of the bottle of milk was still there.

3/4 <em>of</em> the remainder was fed to a calf.

So, the amount that was fed to the calf is 3/4 times 4/5. Therefore:

\displaystyle \frac{3}{4}\times\frac{4}{5}

Multiply:

\displaystyle =\frac{12}{20}=\frac{3}{5}

So, the calf drank 3/5 of the bottle of milk.

Part C)

Nathan used 2 (5/6) loaves of bread to make 4 sandwiches.

First, convert 2 (5/6) to an improper fraction. So:

\displaystyle 2\frac{5}{6}=\frac{12+5}{6}=\frac{17}{6}

Nathan made 4 sandwiches using this. So, we will divide this by 4. Note that this is the same as multiplying by 1/4. Therefore:

\displaystyle \frac{17}{6}\times\frac{1}{4}=\frac{17}{24}

So, Nathan used 17/24 loaves of bread per sandwich.

4 0
3 years ago
Please help please need answer
Annette [7]

Answer:

3/4

Step-by-step explanation:

x = <u>∛27</u>

    ∛64

x = 3/4

6 0
3 years ago
What is the slope of the line? y+3= -4(x+7)
ZanzabumX [31]

Answer:

Slope = -8.000/2.000 = -4.000

 x-intercept = -31/4 = -7.75000

 y-intercept = -31/1 = -31.00000

Step-by-step explanation:

1: Graph of a Straight Line

2: Calculate the Y-Intercept

3: Calculate the X-Intercept

4: Calculate the Slope

5: Geometric figure: Straight Line

Answer: Slope = -8.000/2.000 = -4.000

Hope this helps.

5 0
3 years ago
Read 2 more answers
2/5 of a number is what percentage of that number?​
olya-2409 [2.1K]

2/5 in a percent is 40%

5 0
3 years ago
(−10x^2+9)+(8x^2 −5x+7)
Leno4ka [110]

Answer:

-2x^2-5x+16

Step-by-step explanation:

Remove parenthesis:

-10x^2+9+8x^2-5x+7

Combine like terms:

-10x^2+8x^2-5x+9+7

= -2x^2-5x+9+7

=-2x^2-5x+16

8 0
3 years ago
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