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Semenov [28]
4 years ago
6

A man can harvest his farm in 18 hours. his son can harvest the same farm in 12 hours. how long will it take them working togeth

er?]
Mathematics
2 answers:
Oxana [17]4 years ago
7 0
Answer: 7.2 hour

Explanation:

\textnormal {Both of them work together =}  \cfrac{18 \times 12}{18 + 12} = 7.2 \textnormal { hours}

yanalaym [24]4 years ago
5 0
I think you would do 18+12=30 and half of 30 is 15 so,They would only work 15 hours.
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Which value of x makes this equation true? -8(x + 5) = -3x − 7 + x − 3
tresset_1 [31]

Answer: x = -5

Step-by-step explanation:

-8 (x + 5) = -3x - 7 + x - 3

First, we use distributive property

-8x - 40 = -3x - 7 + x - 3

Then, we combine like terms.

-3x + x = -2x

-7 + -3 = -10

-8x - 40 = -2x - 10

Add 10 to each side

-8x - 30 = -2x

Add 8x to each side

-30 = 6x

Divide each side by 6

-5 = x

8 0
3 years ago
The voltage in a circuit is the product of two factors, the resistance and the current. If the voltage is 6ir + 15i + 8r+20, fin
Alenkinab [10]

Answer:

  • resistance: (2r +5)
  • current: (3i +4)

Step-by-step explanation:

The factors of the given expression are ...

  6ir +15i +8r +20 = (3i +4)(2r +5)

Which factor is current and which is resistance is not clear. Usually, resistance is referred to using the variable r, so we suppose the expressions are supposed to be ...

  resistance: (2r +5)

  current: (3i +4)

8 0
3 years ago
Express the ratio of 3 ft to 18 in lowest terms
seraphim [82]

1\ ft=12\ in\to3\ ft=3(12\ in)=36\ in\\\\3\ ft:18\ in=36\ in:18\ in=36:18=\dfrac{36}{18}=\dfrac{2}{1}=2:1\\\\Answer:\ \boxed{3\ ft:18\ in=2:1}

4 0
3 years ago
A vial contains 80 mg of drug in 2 mL of injection. How many milliliters of the injection should be administered to obtain 0.02
Marina CMI [18]

Answer:

0.5mL of the injection should be administered to obtain 0.02 g of the drug.

Step-by-step explanation:

First step: The first step of this problem is the conversion of 0.02g to mg.

Each gram has 1000 miligrams. So:

1g - 1000mg

0.02g - xmg

x = 1000*0.02

x = 20mg

Final step:

A vial contains 80 mg of drug in 2 mL of injection. How many mL should be administered to obtain 0.02 g = 20mg of the drug.

This can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this step, as the dose of the injection increases, so the quantity of the drug. So the relationship between the measures is direct. So:

80 mg - 2mL

20 mg - xmL

80x = 40

x = \frac{40}{80}

x = 0.5mL

0.5mL of the injection should be administered to obtain 0.02 g of the drug.

3 0
3 years ago
Solve, using the substitution method.
serious [3.7K]
5x+2y=7
y=x-7

5x=7-2y
5x=7-2(x-7)
5x=7-2x+14
5x+2x=7+14
7x/7=21/7
<u>x=3

</u>y=x-7
<u />y=3-7
<u>y=-4
</u>
Answer is B<u>
</u>
6 0
4 years ago
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