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dybincka [34]
3 years ago
10

Robin used one fourth of a pound of butter to make a cake. Before she started she seven eighths of a pound of butter. How much b

utter did robin have when she was done baking? Give your answer as a fraction of a pound
Mathematics
1 answer:
ad-work [718]3 years ago
8 0

Answer:

\dfrac{5}{8} pounds.

Step-by-step explanation:

To find how much butter Robin had after baking, we first need to find how much she initially had.

According to the problem Robin had 7/8 of a pound of butter.

She used 1/4 of a pound of butter to make a cake.

This gives us:

\dfrac{7}{8}-\dfrac{1}{4})

Since we have different denominators, we need to first find the LCD of the fractions.

\dfrac{7}{8}-\dfrac{1}{4}(\dfrac{2}{2}

\dfrac{7}{8}-\dfrac{2}{8}

Now that they have the same denominators, we can then subtract them directly.

\dfrac{5}{8} pounds.

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storchak [24]
(3x+7)+(4x+9)=-58
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7 0
3 years ago
If K is the midpoint of JL, JK = 8x+11 and KL = 14x-1, find JL.
gladu [14]

Step-by-step explanation:

Since, K is the midpoint of JL.

\therefore \: JK = KL \\ 8x + 11 = 14x - 1 \\ 11 + 1 = 14x - 8x \\ 12 = 6x \\  \frac{12}{6}  = x \\ 2 = x \\  \\  \because \: JL = JK + KL \\   \therefore \: JL = 8x + 11 + 14x - 1 \\ \therefore \: JL = 8x + 14x + 11 - 1 \\ \therefore \: JL = 22x + 10\\  \therefore \: JL = 22 \times 2 + 10..(plug \: x = 2) \\  \therefore \:JL = 44 + 10 \\  \huge \red{ \boxed{\therefore \:JL = 54}}

7 0
3 years ago
Read 2 more answers
Tamara says she used the GCF to factor the expression 21x + 56xy as 7(3x + 8xy). Is she correct? Explain.
coldgirl [10]

Answer:

Tamara incorrectly factored the whole expression.

Step-by-step explanation:

Note that

•21x=3·7·x;

•56xy=2·2·2·7·x·y.

Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.

Thus,

21x+56xy=7x(3+8y).

Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.

6 0
3 years ago
Find the ratio a : b , if it is given that ...<br> 5a +3b =6b
sdas [7]

Answer:

3:5

Step-by-step explanation:

5a + 3b = 6b

5a=6b-3b

5a=3b

a/b= 3/5

a:b=3:5

8 0
3 years ago
A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An it
lyudmila [28]

Answer:

Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.

Step-by-step explanation:

For the $200, the restocking fee is $12, so the ratio of the restocking fee to the price of the item is 12/200.

For the $150, the restocking fee is $9, so the ratio of the restocking fee to the price of the item is 9/150.

Now we find out if the ratios 12/200 and 9/150 are equal.

12/200 = 3/50

9/150 = 3/50

Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.

7 0
2 years ago
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