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3 years ago

The average of four numbers is 98. If three of those numbers are 86, 87, and 91, what is the fourth number?

Mathematics

2 answers:

Alinara [238K]3 years ago

7 0

~Hello There!~

86 + 87 + 91 = 264

98 x 4 = 392

392 - 264 = 128

The fourth number is 128

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤

BabaBlast [244]3 years ago

4 0

Answer:

128

Step-by-step explanation:

86 plus 87 plus 91 =264

You have to get 98 times 4 which is 392

Then;

392-264, which is 128, which is the answer (the fourth number)

So;

86+87+91+128 = 392 divided by 4 (the number of numbers there is) which equals 98!

Hope it helped

Please mark me as Brainliest

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Bamboo Plant A is 1.2 meters tall and growing at a rate of 0.45 meter per day. Bamboo Plant B is 0.85 meter tall and growing 0.5

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Answer:

7 days

Step-by-step explanation:

Bamboo plant A = 1.2 + 0.45d

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d = number of days

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Bamboo plant A = Bamboo plant B

1.2 + 0.45d = 0.85 + 0.5d

Collect like terms

1.2 - 0.85 = 0.5d - 0.45d

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2 years ago

On a coordinate plane, a point is at (negative 4, negative 4) and (negative 4, negative 10).

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Answer:

Option C.

Step-by-step explanation:

Hey there!

The points are; (-4,-4) and (-4,-10).

Use distance formula.

$d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

~ Put all values.

$d = \sqrt{ {( - 4 + 4)}^{2} + ( { - 10 + 4)}^{2} }$

~ Simplify it.

$d = \sqrt{ {0}^{2} + ( { - 6)}^{2} }$

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3 years ago

The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps. At this rate, how many times will she not fall i

Inessa05 [86]

Answer:

Rhonda will not fall 264 times in 360 jumps.

Solution:

Given, The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps.

We have to find At this rate, how many times will she not fall in 360 jumps.

Now,

For 15 jumps → 4 falls

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Now apply Chris cross method,

$15 \times n=360 \times 4 \rightarrow n=\frac{360 \times 4}{15}=24 \times 4=96$

So, she falls 96 times in 360 jumps.

Then, number of times she will not fall = 360 jumps – 96 falls = 264 times.

Hence, Rhonda will not fall 264 times in 360 jumps.

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3 years ago

You borrow $10,000 to buy a car. The simple interest rate is 3%. You pay the loan off after 6 years. What is the total amount yo

Olin [163]

For the last question, 50 is 40% of 125.

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2 years ago

World poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year. Assume tha

dezoksy [38]

Answer:

A) $P(t)=77.2\cdot e^{0.016t}$

B) 89.157 million tons.

C) In year 2017.

Step-by-step explanation:

We have been given that world poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year.

A). We know that a continuous growth function is in form $y=a\cdot e^{kx}$ , where,

a = Initial value,

k = Growth rate in decimal form.

$1.6\%=\frac{1.6}{100}=0.016$

Upon substituting our given values, we will get:

$P(t)=77.2\cdot e^{0.016t}$

Therefore, our required function would be $P(t)=77.2\cdot e^{0.016t}$ , where, P represents world poultry production, in million tons, as a function of the number of years, t, since 2004.

B) To find the world poultry production in the year 2013, we will substitute $t=2013-2004=9$ in above formula as:

$P(9)=77.2\cdot e^{0.016(9)}$

$P(9)=77.2\cdot e^{0.144}$

$P(9)=77.2\cdot 1.1548841085249135$

$P(9)=89.1570531781\approx 89.157$

Therefore, the world poultry production in the year 2013 would be 89.157 million tons.

C) To find the number of years it will take for world poultry production to be over 95 million tons, we will equate our function with 95 as:

$95=77.2\cdot e^{0.016t}$

Divide both sides by 77.2:

$1.2305699481865285=e^{0.016t}$

Take natural log of both sides:

$\text{ln}(1.2305699481865285)=\text{ln}(e^{0.016t})$

$\text{ln}(1.2305699481865285)=0.016t\text{ln}(e)$

$0.20747743456981035=0.016t*1$

Divide both sides by 0.016:

$t=12.9673396606$

$t\approx 13$

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3 years ago