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Yakvenalex [24]
4 years ago
13

Evaluate ab for a =2 3/4 and b = 4/5

Mathematics
2 answers:
Oduvanchick [21]4 years ago
4 0

Answer:

11/5

Step-by-step explanation:

2 3/4 = 11/4 as a mixed number

a x b = 11             4

          -----   x     -----

            4             5

fours cancel out

11/5 is your final answer :D

Phoenix [80]4 years ago
3 0

First convert the mixed number to the improper fraction:

2\dfrac{3}{4}=\dfrac{2\cdot4+3}{4}=\dfrac{11}{4}

Make the product:

a=2\dfrac{3}{4};\ b=\dfrac{4}{5}\\\\ab=2\dfrac{3}{4}\cdot\dfrac{4}{5}=\dfrac{11}{4}\cdot\dfrac{4}{5}

canceled 4

=\dfrac{11}{\not4_1}\cdot\dfrac{\not4^1}{5}=\dfrac{11}{1}\cdot\dfrac{1}{5}=\dfrac{11}{5}=\dfrac{10+1}{5}=2\dfrac{1}{5}

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Answer:

y=3/2x+4

Step-by-step explanation:

1.find the slope

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2.y-y1=m(x-x1)

y-1=3/2(x-(-2))

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4 0
3 years ago
Simplify the expression. --(9m - 7)​
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Step-by-step explanation:

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3 0
3 years ago
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Peter babysits his sister on Monday and Friday. He babysits for his neighbor 40% of the days Monday through Friday. He babysits
allsm [11]

Answer:

<em>a) Peter babysits a total of 6 days each week.</em>

  • False

<em />

<em>b) Peter babysits either Saturday or Sunday.</em>

  • True

<em>c) Peter babysits 80% of the days Monday through Friday.</em>

  • True.

<em />

<em>d) Peter babysits 90% of the total days each week.</em>

  • False

Explanation:

<em>1. Peter babysits his sister on Monday and Friday. </em>

  • that is 2 days

<em>2. He babysits for his neighbor 40% of the days Monday through Friday. </em>

  • 40% of 5 days is 0.40 × 5 = 2 days

<em>3. He babysits for his sister and his neighbor on different days. </em>

  • Then, he babysits 2 + 2 = 4 days Monday through Friday.

<em>4. On the weekend, Peter babysits 50% of the days. </em>

  • That is one additional day, and makes a total of 5 days in a weak.

<em></em>

<em>Statements:</em>

<em />

<em>a) Peter babysits a total of 6 days each week.</em>

  • False: we calculated 5 days in a week.

<em />

<em>b) Peter babysits either Saturday or Sunday.</em>

  • True: since, on the weekends he babysits 50% of the days: that is one day which may be either Saturday or Sunday.

<em>c) Peter babysits 80% of the days Monday through Friday.</em>

  • 80% of 5 is 0.8 × 5 = 4, which is what we calculated on the point 3 above. Then, it is true.

<em />

<em>d) Peter babysits 90% of the total days each week.</em>

  • 90% of 7 is 0.9 × 7 = 6.3. On point 4 above, we calculated that he babysits 5 days in a week. Thus, this is false.
4 0
3 years ago
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