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anastassius [24]
3 years ago
15

Which expression is equivalent to (3x-1) (-5x+6)?

Mathematics
1 answer:
Gnoma [55]3 years ago
8 0

Answer:

−15x2+23x−6

Step-by-step explanation:

(3x−1)(−5x+6)

=(3x+−1)(−5x+6)

=(3x)(−5x)+(3x)(6)+(−1)(−5x)+(−1)(6)

=−15x2+18x+5x−6

=−15x2+23x−6

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In 4 ​minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt
kkurt [141]

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 ​minutes, a conveyor belt moves 800 pounds of recyclable

            aluminum from the delivery truck to a storage area. A smaller belt

            moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are​ used, find how long it takes to move the cans

              to the storage area.

Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = \frac{1}{4} shifting/min

Rate of Smaller Belt = \frac{1}{6} shifting/min

Now,

Let us assume that , if both belts used then,

Total time taken = x min/shifting

Then, Rate = \frac{1}{x} shifting/min

Now,

\frac{1}{4}  + \frac{1}{6}  = \frac{1}{x}

⇒\frac{6 + 4}{24} = \frac{1}{x}

⇒\frac{10}{24} = \frac{1}{x}

⇒10x = 24

⇒x = \frac{24}{10} = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

3 0
3 years ago
1. Integers are not closed under which operation?
velikii [3]

Answer:

Integers are not closed under the DIVISION operation

Example:

(9 ÷ 2 = 4½)

4 0
3 years ago
Swati was doing research for a geography report about the Great Lakes. She read that the area of Lake Erie is 4.98 • 10^3 square
VLD [36.1K]
She should write it as 4,980 on her report.
8 0
3 years ago
The difference between a number and 22 is 57. what is the number
Ksju [112]

Answer:

79

Step-by-step explanation:

The difference between 79 and 22 is 57. 79 is THE number. All you have to do is add 22 and 57 because the answer you get would ALWAYS have one of the numbers added as the difference.

5 0
3 years ago
Read 2 more answers
Marc ordered a rug. He gave a deposit of 30% of the cost and will pay the rest when the rug is delivered. If the deposit was $75
ra1l [238]

Answer: Marc still owes $175

Step-by-step explanation:

Let x represent the cost of the rug.

Marc ordered a rug and gave a deposit of 30% of the cost and will pay the rest when the rug is delivered. This means that the amount of money that he deposited

for the rug is

30/100 × x = 0.3 × x = 0.3x

If the deposit was $75, it means that

0.3x = 75

x = 75/0.3 = 250

The cost of the rug is $250

The amount that Marc still owes would be

250 - 75 = $175

6 0
3 years ago
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