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HACTEHA [7]
3 years ago
15

Mr. Maddox asked four students to create a number line to help find the sum of fractions 3 2/3 + 1 3/4 + 2/3

Mathematics
2 answers:
makvit [3.9K]3 years ago
5 0
The answer is 6.08..........
balu736 [363]3 years ago
3 0

Answer with explanation:

Question asked by Mr.Maddox to find the sum of fractions with the help of number line :

    \rightarrow 3 \frac{2}{3}+1 \frac{3}{4}+\frac{2}{3}\\\\ \text{Using Associative Property}\\\\\rightarrow a+(b+c)=(b+c)+a\\\\\rightarrow [\frac{2}{3}+ 1\frac{3}{4}]+3 \frac{2}{3}\\\\\rightarrow [\frac{2}{3}+\frac{7}{4}]+\frac{11}{3}\\\\\rightarrow \frac{21+8}{12}+ \frac{11}{3}\\\\\rightarrow\frac{29+44}{12}\\\\ \rightarrow\frac{73}{12}\\\\\rightarrow 6\frac{1}{12}

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Becky d james have a total of 4 2/8 feet of yarn. Becky has 1 5/8 feet of yarn. How many feet of yarn does james have?
ra1l [238]
Let
x----------------> <span>feet of yarn of Becky
y----------------> </span><span>feet of yarn of James

we know that
4 2/8------> 4 1/4--------> (4*4+1)/4-----> 17/4
1 5/8------> (1*8+5)/8-----> 13/5
x+y=4 2/8-------> x+y=17/4----> equation 1
x=1 5/8--------> x=13/5------> equation 2
substitute 2 in 1
[13/5]+y=17/4------> y=(17/4)-(13/5)----> y=[5*17-4*13]/20
y=(85-52)/20-----> y=33/20----> y=1.65-----> y=1 65/100----> y=1 13/20

the answer is
</span><span>james have 1 13/20 ft of yarn</span>
7 0
3 years ago
Derek is hang gliding on a clear day at an altitude of a feet. His visibility, v, is 67.1 mi. Use the formula v = 1.225 to find
Margaret [11]

Base on the visibility formula v = 1.225√a, the altitude at which Dereck is hang gliding is 7.4 miles

<h3>How to find altitude using visibility formula?</h3>

The visibility formula is given as follows:

v = 1.225√a

where

  • a = altitude
  • v = visibility

Therefore,

v = 67.1 miles

v = 1.225√a

67.1 = 1.225√a

divide both sides by 1.225

√a = 67.1 / 1.225

√a = 54.7755102041

square both sides

√a² = √54.7755102041

a = 7.40104789878

a = 7.4 miles

learn more on visibility here: brainly.com/question/16166215

6 0
2 years ago
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Lena [83]

Answer: 2.5y^{2} +2y+2.4

Step-by-step explanation:

8 0
3 years ago
7 times the sum of a number and 3
insens350 [35]

Answer:

Step-by-step explanation:

7x+3

3 0
3 years ago
Aubree practices the piano 1197 minutes in 3 weeks. At what rate did she practice, in minutes per day?
Norma-Jean [14]

Answer:

57

Step-by-step explanation:

We need to create a ratio. so Aubree practices the piano for 1197 min: in 3 weeks. So for 1 week, we have to divide 1197 by 3, so 1197/=399. And so we know that 1 week is 7 days, just divide 399 by 7! 399/7=57. The rate that she practiced per day is 57 minutes. So one last final step just to check if this answer is correct is to divide 57 by 60, and that is 0.95. 0.95 out of 1.00 minutes per day is 95/100. Cross multiply with x/60, and you will get your answer, which is 57.

4 0
1 year ago
Read 2 more answers
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