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hodyreva [135]
3 years ago
6

Kenya is solving the equation 5 3/4 - 1/6x = 4 1/2. She gets to 1 1/4 = 1/6x. Is this a valid way to solve the equation? answer

asap please
Mathematics
1 answer:
Alona [7]3 years ago
8 0

Answer:

15/2

Step-by-step explanation:

5 3/4 - 1/6x = 4 1/2

move the variable to it's own side.

5 3/4 - 4 1/2 = 1/6x

change the subtracting side to have common denominators

5 3/4 - 4 2/4 = 1/6x

1 1/4 = 1/6 x

divide both sides by 1/6, same thing as multiplying both sides by 6 (reciprocal)

30/4 = x

reduce: 15/2 = x

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7 0
3 years ago
Please Help!!
melamori03 [73]

Answer:

34 rolls

Step-by-step explanation:

For Frank to cover his whole ceiling, he needs paper that will cover

20 ft x 20 ft                      

20 x 20 = 400 ft

So, Frank needs to cover 400 ft of the ceiling. He has to split up this large need for paper into smaller rolls, because the rolls he can buy are small.

If each roll has 12 ft, we need to find how many 12-feet are in 400 feet.

To do this, we should divide

400 / 12

= 33.333

Because Frank cannot cover the whole ceiling using only 33 rolls, he has to buy an additional roll to make sure he can cover the extra area [that would be left over if he were to only buy 33 rolls, which would only cover 396 feet]

So, Frank will need to buy 34 rolls to have enough paper to entirely cover his ceiling.

6 0
2 years ago
One card from a deck of cards Is selected, it's is replaced, and another card is chosen. What is the probability that the first
Elis [28]

Answer:

1/ 8

Step-by-step explanation:

Given that:

Number of red cards in deck = 26

Number of diamonds in deck = 13

Number of cards in deck = 52

Recall :

Probability = required outcome / Total possible outcomes

Probability of choosing a red :

P(red) = 26 / 52 = 1/2

With replacement :

Probability of diamond :

P(diamond) = 13 / 52 = 1/4

Hence,

Probability of first card red, then second card diamond equals

P(red) * P(diamond)

1/2 * 1/4

= 1/8

6 0
3 years ago
Solve and graph the following inequality: 3(7x+17) > -19 + 14x
love history [14]

Answer:

Solving the inequality we get: \mathbf{x>-7}

Step-by-step explanation:

We need to solve and graph the inequality 3(7x+17) > -19 + 14x

Solving:

3(7x+17) > -19 + 14x

Step 1: Multiply  3 with terms inside the bracket

21x+51 > -19 + 14x

Step 2:Subtracting 51 on both sides

21x+51-51 > -19 + 14x-51\\21x>14x-70\\

Step 3: Subtract 14x on both sides

21x-14x>+14x-70-14x\\7x>-70

Step 4: Divide both sides by 7

\frac{7x}{7}>\frac{-70}{7}\\x>-10

Solving the inequality we get: \mathbf{x>-7}

The graph is attached in the figure below.

5 0
3 years ago
I need help whats 5t = 7 1/2
stich3 [128]

Answer: t= 3/2

Step-by-step explanation: 5/ 7 1/2 = 3/2

7 0
3 years ago
Read 2 more answers
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