Mathematics
12.02.2021 06:21
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What is the sum of 12 and the quantity 8 times a number k is equal to 48? it was

What is the sum of 12 and the quantity 8 times a number k is equal to 48? it was on my math homework, it hardly makes any sence to me, me, whats the answer?
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hey2000
hey2000
4,4(93 marks)
For this question you are looking for the value of K. The question is asking what number multiplied with 8 and added with 12 equals 48. So the equation is: 12+8(K)=48 To solve the problem you need to balance the equation by doing the opposite of the equation to the answer until only K remains. We start with the 12. The equation wants us to add 12 so we subtract it from both sides instead and get the new equation: 12+8(K)=48-12 : 8(K)=36 Now we need to get rid of the 8. The equation wants us to multiply by 8 so we divide it from both sides instead and get the new equation: K=36/8 : K=4.5 So the answer is K=4.5. Now just to make sure we test the equation with the answer. 12+(8x4.5)=48 12+36=48 48=48 Since the two match we have confirmed that K does indeed equal 4.5.
kajjumiaialome
kajjumiaialome
4,7(4 marks)

⁷/₁₀ kg

Further explanation

Given:

Tiffany bought \frac{2}{5} \ kg of cherries. Linda bought \frac{1}{10} \ kg of cherries less than Tiffany.

Question:

How many kilograms of cherries did they buy altogether?

The Process:

Since Linda bought \frac{1}{10} \ kg of cherries less than Tiffany, we subtract \frac{1}{10} \ kg from the \frac{2}{5} \ kg of cherries Tiffany bought.

The least common multiple (LCM) of 5 and 10 is 10.

\boxed{ \ \frac{2}{5} - \frac{1}{10} = ? \ }

\boxed{ \ = \bigg( \frac{2 \times 2}{5 \times 2} \bigg) - \frac{1}{10} \ }

\boxed{ \ = \bigg( \frac{4}{10} \bigg) - \frac{1}{10} \ }

\boxed{ \ = \bigg( \frac{3}{10} \ }

Therefore, Linda bought \frac{3}{10} \ kgof cherries.

Let us find out how many kilograms of cherries did they buy altogether.

\boxed{ \ Tiffany's cherries + Linda's cherries =? \ }

\boxed{ \ \frac{2}{5} + \frac{3}{10} = ? \ }

\boxed{ \ = \bigg( \frac{2 \times 2}{5 \times 2} \bigg) + \frac{3}{10} \ }

\boxed{ \ = \bigg( \frac{4}{10} \bigg) + \frac{3}{10} \ }

\boxed{\boxed{ \ = \bigg( \frac{7}{10} \ }}

Thus, they bought \frac{7}{10} \ kgof cherries altogether.

- - - - - - - - -

Using Diagram

\boxed{Tiffany's cherries: \frac{2}{5} = \frac{4}{10}}

Tiffany's cherries: \boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ} or 4 of 10 units.

\boxed{Linda's cherries = \frac{1}{10}} less than Tiffany's, so we subtract 1 from 4 units of Tiffany's, that is \boxed{\circ}\boxed{\circ}\boxed{\circ}

\boxed{ \ Tiffany's cherries + Linda's cherries =? \ }

\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ} + \boxed{\circ}\boxed{\circ}\boxed{\circ} = \boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}

Thus, the number of the two diagrams is 7 out of 10 units or \frac{7}{10} \ kgof cherries.

Learn moreHow much did Ciro spend altogether for the concert ticket, hotel, and dinner? About how many tickets do they sell for an entire season of home games? Raphael wants to buy a new car

Keywords: Tiffany, bought, 2/5, kg of cherries, Linda, 1/10, less than, how many, kilograms, they buy altogether, 3/10, 7/10, LCM

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