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3 years ago

(-2.4) - 0.8 times -4.3

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

7 0

Answer is this:

1.04

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3/4 cups of water was used per cup of flour!

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The total surface area is 112cm². Work out the value of x. Please include working out.

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There is 5/8 of an hour before the end of soccer practice. It takes 1/6 of an hour for the team to complete 1 full scoring drill

Makovka662 [10]

Answer:

Three full scoring drill can be completed in $\frac{5}{8}$ hrs with $\frac{1}{8}$ hrs still remaining in end of practice session.

Solution:

Given that

Time remaining before end of soccer practice in hours = $\frac{5}{8}$

Time required for 1 full scoring drill = $\frac{1}{6}$

Need to identify how many drills can be complete before practice is over.

For sake of simplicity lets make denominators of both the numbers same.

$\frac{5}{8}=\frac{5}{8} \times \frac{3}{3}=\frac{15}{24}$

$\frac{1}{6}=\frac{1}{6} \times \frac{4}{4}=\frac{4}{24}$

$\frac{4}{24}$ is time for 1 drill

Lets say $\frac{4}{24} = d$

Time remaining = $\frac{15}{24} = \frac{4 + 4 + 4+ 3}{24} = \frac{4}{24} + \frac{4}{24} + \frac{4}{24} + \frac{3}{24} = d + d +d + \frac{3}{24}$

$\frac{15}{24} = 3d + \frac{3}{24}$

3d means three drills will be completed. Fourth drill will not complete because $\frac{3}{24}$ is not sufficient to complete a drill.

Hence mathematical representation of given situation is

$\frac{5}{8} = 3d + \frac{1}{8}$

Where d is the time required to complete one drill equal to $\frac{1}{6}$ of hour.

So three full scoring drill can be completed in $\frac{5}{8}$ hrs with $\frac{1}{8}$ hrs still remaining in end of practice session.

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Find the volume of the prism. 18 ft 10 ft 10 ft

Gnesinka [82]

Answer: 1,800 ft³

Step-by-step explanation: To find the volume or the prism shown here, start with the formula for the volume of a prism which is shown below.

Volume = length × width × height

Here, notice that our prism has a length of 10 feet, a width of 10 feet, and a height of 18 feet. So we have (10 ft)(10 ft)(18 ft).

(10 ft)(10 ft) is 100 ft² and (100 ft²)(18 ft) is 1,800 ft³.

So the volume or the prism shown here is 1,800 ft³.

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