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Arlecino [84]
3 years ago
5

A machinist uses a special tool to measure the diameter of a small pipe. The measurement tool reads 0.276 inch. What is this mea

sure rounded to the nearest tenth?
Mathematics
1 answer:
Oliga [24]3 years ago
4 0
I believe it should be .3 because its rounded to the nearest tenth
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Lydia baked a total of 144 chocolate chip cookies and peanut butter treats for Valentine's Day. Initially, the ratio of chocolat
andre [41]
Let x be the chocolate chip cookies, so the peanut butter treats will be 144-x.
We know that the cookies and the treats are in a ratio of 5:3, so:\frac{cookies}{treats} = \frac{5}{3} = \frac{x}{144-x}
Now we can solve for x:
\frac{5}{3} = \frac{x}{144-x}
5(144-x)=3x
720-5x=3x
8x=720
x= \frac{720}{8}
x=90

We now know Lydia has 90 chocolate chip cookies, and 144-x=144-90=54 peanut butter treats.

Then, Lydia's friend ate \frac{3}{5} of her cookies, so her friend ate \frac{2}{5} (90)=36 cookies. Therefore, Lydia has 90-36=54 cookies left.
Now we can calculate the total amount of baked goods after her friend ate the cookies:
144-54=90
Therefore, our remainder treats will be:
90-x

We also now that after her friend ate 54 cookies and some treats, the new ratio is 6:1, and that's all we need to set up our new equation and solve it to find how many treats she ate:
\frac{cookies}{treats} = \frac{6}{1} = \frac{54}{90-x}
6(90-x)=54
540-6x=54
6x=486
x= \frac{486}{6}
x=81

Finally, if she ate 81 out 90 treats, we can conclude the Lydia has left with 9 peanut butter treats.


3 0
4 years ago
Read 2 more answers
Please read photo! Thanks for anyone that helps.
vesna_86 [32]

Answer:

1= 66

2= 66

3 = 114

Step-by-step explanation:

6 0
3 years ago
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