Howbtp solve 2 (x-7) -10 = 12 - 4x

Answers

Answer 1
Answer: 2(x-7)-10=12-4x
2x-14-10=12-4x
2x-24=12-4x
2x-12=-4x
-12=-2x
6=x
Answer 2
Answer: ......... hope this helps :)

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Sam worked on his science fair project for 1/4 hour on Friday and 1/2 hour on Saturday. What are four common denominators for the fractions? Explain your reasoning.

Answers

2, 4, 8, 12 are all common denominators because they can become the same denominator

Andre says that 5 3/4 + 2 1/2 =7 1/2 because 7 4/8 = 8 1/2. Identify his mistake. Draw a picture to prove that he is wrong.

Answers

5(3)/(4)+2(1)/(2)=5(3)/(4)+2(2)/(4)=7(5)/(4)=8(1)/(4)\n\nmistake:\n\n5(3)/(4)+2(1)/(2)=5(3)/(4)+2(1)/(4)=5+2+(3+1)/(4+4)=7(4)/(8)=7(1)/(2)

Mary has 50 earring boxes. The boxes measure 1 inch on each side. How many rectangular prisms, each with different-sized base, could Mary make by stacking all the earring boxes?

Answers

Since each earring box has a side of 1 inch, that means each one has a volume of 1 cu. inch. Thus, 50 cubes combined will have a volume of 50 cu. inches. That means, that the prism must have a volume of 50 cu. inches. Since for prism, the volume is L(W)(H), we can list down the possible trios that will have a product of 50. Note that 50 = 1 x 2 x 5 x 5 and hence, we can group these and come up with the following list of factor: {1, 2, 25}, {1, 10, 5}, {2, 5, 5} Therefore, there are 3 possible prisms that can be formed using the cubes. The answer is 3.

Which of the following prefixes is best for measuring large quantities like the mass of a person?milli
kilo
deci
deca

Answers

Kilo, for kilogram is the best to use for easuring the mass of a person. 1 Kilogram (Kg) = 1000 grams. For example, I have 60 kilograms (132.27 pounds).

Mili is used for very small quantities (Mili = 1/1000 grams). Deci = 1/10 grams and deca 10 kilograms = 10.000 grams. Good luck !
The metric unit for weight is kilo.

One batch of fruit salad has equal amount of which kinds of fruit? Explain how you decided

Answers

If this is what your talking about this is your answer:

The batch of fruit salad has an equal amount of apples and cherries. This is because there are 1 1/2 c of apples and 1 2/4 c of cherries. the 1 1/2 is already simplified but the 1 2/4 is not. 1 2/4 is the same as 1 1/2, therefore apples and cherries have equal amounts.

Sarah cut off one eighth of a 48 inch piece of ribbon Jane cutoff one nineth of a 36 peace ribbon they compared their cut pieces whose piece is longer how much longer

Answers

Sarah: 48 * 1/8
Jane: 36 * 1/9
you could do 2 things here
a. solve the problem by multiplying the two "fractions" together for each person to get a number, and the larger number means the larger piece
or
b. take a step back and look at it piece by piece
first lets compare
Sarah has a piece of Ribbon equal to 48 inches while
 Jane's ribbon is only 36 inches in length
so Sarah has the most ribbon to start out with
now lets compare the two fractions
1/8 and 1/9
the smaller the denominator the bigger the number actually is
because the denominator just means "divided by" this number, so the smaller the number, the less "groups" the numerator is being split up into.
now in that case, 1/8 is the bigger fraction, and this fraction belongs to Sarah
now if Sarah has the larger Ribbon and the larger fraction, then she automatically has the larger ribbon.

however, in this problem it asks for "how much longer"
so we have to treat each of the numbers for each person as if it was a fraction
48 inches for Sarah and 36 inches for Jane will be over 1, showing that it is 48 and 36 "wholes" or whole numbers
48/1 and 36/1
now we multiply 48/1 by 1/8 because that i how much ribbon sarah needs
multiply the numerator by the numerator and the denominator by the denominator
48/1* 1/8 = 48/8 or simplified to 6/1 or 6 inches of ribbon for Sarah
do the same for Jane
36/1 * 1/9 = 36/9 or simplified to 4/1 or 4 inches of Ribbon for Jane
therefore we can conclude
Sarah has 2 more inches of Ribbon than Jane