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Mariana [72]
3 years ago
5

i need help on a story problem? Jason ran 5/7 of the distance around the school track. Sara ran 4/5 of Jason's distance. What fr

action of the total distance around the track did Sara run?
Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0
The first thing you do is to find the lowest common multiple of 5 and 7.What you do on the bottom, you must do on the top 25/35 / 28/35.  The answer is 25/28.  Sara ran 25/28 of the total distance around the track. 
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During the holiday sale at blooming department store all sweaters are discounted 30% on blockbuster Saturday the store discounts
RSB [31]

Answer: He would pay $62.37 for it on blockbuster Saturday.

Step-by-step explanation:

Since we have given that

Original price of sweater = $99

Discount on blockbuster Saturday = 30%

Additional discount on sweater = 10%

So, According to question,

Net\ Price=Price\times \frac{100-Discount}{100}\\\\\text{As there are 2 successive discounts }\\\\So,\\\\Net\ Price=Price\times \frac{100-D_1}{100}\times\frac{100-D_2}{100}

99\times \frac{100-30}{100}\times \frac{100-10}{100}\\\\=99\times \frac{70}{100}\times \frac{90}{100}\\\\=\$62.37

Hence, he would pay $62.37 for it on blockbuster Saturday.

3 0
3 years ago
Brian invested $3,000 in an account that paid a simple interest rate of 1.7%. When he cashed in the investment, he received $306
lesya692 [45]

Answer:

$165

Step-by-step explanation:

8 0
2 years ago
Can you help with these two questions?
Lady bird [3.3K]

1) 155.91 grams would be left after 10 years

2) The population would be 376,478 in 2040

Step-by-step explanation:

The form of the exponential function is y=a(b)^{x} , where

  • a is the initial amount (y at x = 0)
  • b is the growth/decay factor
  • b = 1 + r, where r is the rate of growth
  • b = 1 - r, where r is the rate of decay

1)

Scientists are studying a 500 grams sample of a radioactive element, which has an annual decay rate of 11%

∵ The initial amount is 500 grams

∴ a = 500

∵ The annual decay rate is 11%

∴ r = 11% = 11 ÷ 100 = 0.11

∵ b = 1 - r ⇒ decay

∴ b = 1 - 0.11 = 0.89

- We need to find how many grams of the sample would be left

  after 10 years

∴ x = 10

- Substitute all of these values in the form of the exponential function

∵ y=500(0.89)^{10}

∴ y = 155.9085996

- Round it to 2 decimal places

∴ y = 155.91

155.91 grams would be left after 10 years

2)

In 2000, the population of an Ohio town was 140,212. The population is expected to grow at a rate of 2.5% each year

∵ The population of an Ohio town was 140,212

∴ a = 140.212

∵ The population is expected to grow at a rate of 2.5% each year

∴ r = 2.5% = 2.5 ÷ 100 = 0.025

∵ b = 1 + r ⇒ growth

∴ b = 1 + 0.025 = 1.025

- We need to find the population in 2040

∵ The number of years is 2040 - 2000 = 40 years

∴ x = 40

- Substitute all of these values in the form of the exponential function

∵ y=140212(1.025)^{40}

∴ y = 376478.1709

- Round it to the nearest whole number

∴ y = 376,478

The population would be 376,478 in 2040

Learn more:

You can learn more about the functions in brainly.com/question/11921476

#LearnwithBrainly

6 0
3 years ago
I need help......<br> 25 points
ANTONII [103]

Answer:

D

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
An expecting mother wants to convert a corner of the nursery in her house into a rectangular playpen by enclosing the corner of
Elena-2011 [213]

  10=1+9            1x9=9
   =2+8            2x8=16
   =3+7            3x7=21
   =4+6            4x6=24
   =5+5            5x5=25
↑ Left: the possible measurements of the two fences, Right: the possible areas

out of the areas calculated, 25 sq feet is the maximum. :)

Ans: 25 square feet


5 0
3 years ago
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