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Ahat [919]
4 years ago
14

Robin buys 40 flowers to put into 5 vases. She writes that 40 is 5 times as many as 8. What other comparison sentence can she wr

ite to show the comparison?
Mathematics
1 answer:
Yakvenalex [24]4 years ago
6 0

she can say 40 is 8 times as many as 5

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6.
larisa86 [58]

A. Every month Population will increase by a factor of 0.84%.

B.  Every 3 months Population will increase by a factor of 2.5%.

C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.

<u>Step-by-step explanation:</u>

Here, we have  number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as  x + \frac{x}{100}\times10 which is equivalent to \frac{11x}{10}.

<u>A.</u>

For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like \frac{10}{12}  = 0.84 . ∴ Every month Population will increase by a factor of 0.84%.

<u>B.</u>

In every 3 months: We have , 12 months in a year , in order to check for every 3 months  \frac{12}{3} = 4 and Now, Population increase in every 3 months is \frac{10}{4}  = 2.5.  ∴ Every 3 months Population will increase by a factor of 2.5%.

<u>C.</u>

In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.

So , increase in population in every 20 months is 10% + 6.72% = 16.72%.

5 0
3 years ago
Solve: –x – 7 = –2x – 11
Ivan
<span>Simplifying (7 + -2x)(11 + -2x)(x) = 0 Reorder the terms for easier multiplication: x(7 + -2x)(11 + -2x) = 0 Multiply (7 + -2x) * (11 + -2x) x(7(11 + -2x) + -2x * (11 + -2x)) = 0 x((11 * 7 + -2x * 7) + -2x * (11 + -2x)) = 0 x((77 + -14x) + -2x * (11 + -2x)) = 0 x(77 + -14x + (11 * -2x + -2x * -2x)) = 0 x(77 + -14x + (-22x + 4x2)) = 0 Combine like terms: -14x + -22x = -36x x(77 + -36x + 4x2) = 0 (77 * x + -36x * x + 4x2 * x) = 0 (77x + -36x2 + 4x3) = 0 Solving 77x + -36x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(77 + -36x + 4x2) = 0 Factor a trinomial. x((7 + -2x)(11 + -2x)) = 0 </span>
8 0
3 years ago
Read 2 more answers
Simplify the equation <br><br> ( -3x )^0 / 2<br><br> if possible please explain
nalin [4]

Hi


(-3x)^0/2

Simplify

= 1/2


I hope that's help !

5 0
3 years ago
Read 2 more answers
Simplify this question
vladimir1956 [14]

\frac{8 -  \sqrt{ - 36} }{2}  \\  =  \frac{8 -  \sqrt{ 2 \times \: 2 \times  3  \times  - 3} }{2}  \\  =  \frac{8 -2 \sqrt{ - 9}  }{2}  \\  =  \frac{2(4 -  \sqrt{ - 9} )}{2}  \\  = 4 -  \sqrt{ - 9}

Hope you could get an idea from here.

Doubt clarification - use comment section.

8 0
2 years ago
Read 2 more answers
A company has decreased the weight of its boxes of macaroni by 7%. If the new weight of the box is 13.5 ounces, what was the ori
igor_vitrenko [27]
8%=0.08 and 100%=1 (100% represents the original weight in percentaje)
If x is the weight you can express: 1x-0.08x=15.1
solve for x: 0.92x=15.1
x= 15.1/0.92=16.1
The original weight was 16.41 ounces
5 0
2 years ago
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