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3 years ago

4x - 27 = -4x - 35 + 8

Mathematics

1 answer:

murzikaleks [220]3 years ago

5 0

Answer:

$4x - 27 = - 4x - 35 + 8 \\ 8x = 0 \\ x = 0$

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What does a variable allow you to do that you couldn't do before

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A variable can allow you to guess and test. If you had a definite answer, there would be no need to guess and test. However, you could still use a formula to figure the answer.

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4 years ago

The cost, in dollars, of manufacturing x microwaves is 6,000 + 300x dollars. The amount received when selling these x microwaves

densk [106]

Answer:

21 microwaves

Step-by-step explanation:

The net profile is equal to the income less the total cost, so the equation to the net profile NP is:

NP = 700x - (6000 + 300x)

Where 700x is the income and (6000+300x) is the cost of manufacturing.

Now, replacing NP by 2400 and solving for x, we get:

2400 = 700x - (6000 + 300x)

2400 = 700x - 6000 - 300x

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So, the least number of microwaves that must be manufactured and sold so that the net profit is $2400 is equal to 21.

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3 years ago

A road is 4350m long, correct to the nearest 10 metres. Kirsty drove along the road in 205 seconds, correct to the nearest 5 sec

aalyn [17]

Answer:

Step-by-step explanation:

4350 max = 4355m

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= 4355/202.5

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2 years ago

I have a circular necklace with $18$ beads on it. All the beads are different. Making two cuts with a pair of scissors, I can di

algol13

Solution:

There are four general types we can make: (6,12),(7,11),(8,10),(9,9).

First type: (6,12), there are 18 possible ways to choose those 6, which are going to be cut from the necklace: choose a direction to count the beads, and choose a starting position (between 2 beads). There are exactly 18 starting positions, since there are 18 spaces between the beads. One cut is equivalent for a pair we can make.

Second type: (7,11), with the same reasoning, there are 18 possible ways to cut the necklace.

Third type: (8,10), with the same reasoning, there are 18 possible ways to cut the necklace.

Fourth type: (9,9), The same reasoning cannot be applied again, since half of the cuts would be exactly the same as the other half. So there are 9 possible cuts, exactly one or each axis of symmetry for the necklace.

The solution will be the sum these values: 18+18+18+9=63

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3 years ago

Solve the inequality.<br> -12

klemol [59]

Add 12 to solve the inequality

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3 years ago