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schepotkina [342]
2 years ago
9

How do I solve this problem?

Mathematics
2 answers:
bulgar [2K]2 years ago
6 0

Answer:

3\frac{4}{8} cups

Step-by-step explanation:

<u>To subtract two fractions with different denominators easily, you can find the LCM of the denominators to make a simple subtraction problem.</u>

LCM - <em>Lowest Common Multiple</em>

<u>To find the LCM of two numbers, write down each numbers' times tables until they have a common number:</u>

4 - 4, 8, 12, 16, 20,....

8 - 8, 16, 24, 32, 40,....

Because 8 is the first number to be in both numbers' multiples, it is the LCM of 4 and 8.

<u>Now that the LCM has been determined, you need both denominators to be 8. This is an easy process as it is simple multiplication:</u>

3 \frac{1}{4} → \frac{1}{4} × \frac{2}{2} = \frac{2}{8}

6 \frac{6}{8} → no multiplication needed.

<u>Now to subtract:</u>

6 \frac{6}{8} - 3 \frac{2}{8} = 3 \frac{4}{8}

Because the question does not want a simplified fraction, the final answer is 3 \frac{4}{8} cups.

romanna [79]2 years ago
3 0

Answer:

It will be 3 4/8 or 3 1/2

<u><em>PLS MARK BRAINLIEST</em></u>

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Solve the simultaneous equations by substitution<br> 4x+3y=-2<br> 3y=4-x
stiv31 [10]

Answer: x=-2 y=2

Step-by-step explanation:

I decided that isolating the y value of the second equation is the best way to start solving.

I divide 3 from both sides to get y= (4-x)/3. With this, I can substitute into the first equation. 4x+3(4-x)/3)=-2.

The multiplying the 3 by the denominator three cancels each other out to make:

4x+4-x=-2.

We subtract 4 on both sides and then subtract x from 4x.

We end up with 3x=-6. Then, we divide both sides by 3.

x=-2.

Now we substitute this into the second equation to solve.

3y=4-(-2)

This becomes 3y=4+2 which is 3y=6

We divide both sides by 3 to get y=2

We end up with x=-2 and y=2.

I hope you learned something :)

4 0
2 years ago
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Katena32 [7]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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i need to help write the equation in vertex form for the parabola with vertex at ( 2,-1) and y - intercept 5
densk [106]

Answer: y= 5/2(x-2)^2 - 1

Step-by-step explanation:

y=a(x-2)^2 - 5

5=a(0-2)^2 - 5

10=a(-2)^2

10=a4

a=10/4 or 5/2

5 0
3 years ago
For the following exercises, solve each inequality and write the solution in interval notation.
WARRIOR [948]

Answer:

The solution to the inequality |x-2|>10 in interval notation is given by -8<x<12

Step-by-step explanation:

An absolute value inequality |x-2|>10 is given.

It is required to solve the inequality and write the solution in interval form.

To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.

Step 1 of 2

The given absolute value inequality is $|x-2|>10$.

The inequality can be written as

x-2<10 and x-2>-10

First solve the inequality, x-2<10.

Add 2 on both sides,

x-2<10

x-2+2<10+2

x<12

Step 2 of 2

Solve the inequality x-2>-10.

Add 2 on both sides,

x-2>-10

x-2+2>-10+2

x>-8

The solution of the inequality in interval notation is given by -8<x<12.

7 0
2 years ago
It is worked out that if 4 ladles full of soup are given to each person, 120 people can be fed. The customers have complained in
alina1380 [7]

Answer:

80\ people

Step-by-step explanation:

Per person available ladles full of soup=4

Total number of persons=120

Hence total number of ladles full of soup=120\times 4=480

Now per person available ladles full of soup=6

Total number of persons that can be fed

=\frac{total\ availability}{per\ person\ requirements}\\\\=\frac{480}{6}\\\\=80

6 0
3 years ago
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