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2 years ago

What is the volume of the right prism?

1 answer:

3 0

That's a rectangular prism.

And the formula to find the volume of a rectangular prism is:

$\sf~A=lwh$

Plug in what we know:

$\sf~A=(9)(2)(6)$

Multiply the three numbers together:

$\sf~A=\boxed{\sf108}$

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Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1

Tcecarenko [31]

Answer:

$\dfrac{6750}{7}$

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make $\dfrac{x}{10}$ flowers in an hour. If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make $\dfrac{x}{15}$ flowers in an hour.

The groups decided to work together. They can make $\dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6}$ together in an hour and it takes them $\dfrac{x}{\frac{x}{6}}=6$ hours. Group B took a break for 1 hour and 40 minutes ( $1\dfrac{2}{3}$ hour), then Group B works

$6-1\dfrac{2}{3}=4\dfrac{1}{3}$ hours.

Thus,

$\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.$

6 0

3 years ago

How do you write 2.6 × 10 to the 3 power in standard form?

Novay_Z [31]

Answer:

no u

Step-by-step explanation:

7 0

3 years ago

A train leaves at 14:56 and arrives at 16:43. It travelled at an average speed of 135 km/h. How far did it travel? Give your ans

Firlakuza [10]

Answer:

240.8

Step-by-step explanation:

→ Calculate time taken

16:43 - 14:56 = 1 hour and 47 minutes

→ Write the speed formula and make distance the subject

Speed = Distance ÷ Time ⇔ Distance = Speed × Time

→ Convert 1 hour and 47 minutes into decimal format

1.78333333 or $1\frac{47}{60}$

→ Substitute values into formula

135 × $1\frac{47}{60}$ = 240.75

8 0

3 years ago

HELP!!!!!!!!!!!!!!! 15 POINTS

disa [49]

$60 for 2 hours and $100 in total for 2 hours of work and the service fee

3 0

2 years ago

The statement the sum of x and 7% of x is at least 30"

tigry1 [53]

Answer:

x + 0.07x ≥ 30

Step-by-step explanation:

A sum is terms separated by a plus sign.

"Is at least" means "is greater than or equal to."

7% as a decimal fraction is 0.07.

"Of" means "times."

In consideration of the above, you have ...

x plus 7% of x is at least 30

x + 0.07x ≥ 30 . . . . . using math symbols

5 0

2 years ago