7 out of 11 people brought umbrellas. there were 99 people there. How many people did not have one

Juan hikes up a mountain. He hikes back down at a constant rate. The table shows Juan's elevation at each hour after he begins h

Dimas [21]

The linear function that describes Juan's elevation during his descent is:

B. y = -1460x + 7500.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, each hour, the height decays by 1460, hence the slope is of m = -1460, then:

y = -1460x + b.

The y-intercept is found considering that when x = 1, y = 6040, hence:

b = 6040 + 1460 = 7500.

Which means that option B is correct.

More can be learned about linear functions at brainly.com/question/24808124

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8 0

2 years ago

A chemical flows into a storage tank at a rate of (180+3t) liters per minute, where t is the time in minutes and 0<=t<=60

Yuliya22 [10]

Answer:

The amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

Step-by-step explanation:

Consider the provided information.

A chemical flows into a storage tank at a rate of (180+3t) liters per minute,

Let $c(t)$ is the amount of chemical in the take at <em>t </em>time.

Now find the rate of change of chemical flow during the first 20 minutes.

$\int\limits^{20}_{0} {c'(t)} \, dt =\int\limits^{20}_0 {(180+3t)} \, dt$

$\int\limits^{20}_{0} {c'(t)} \, dt =\left[180t+\dfrac{3}{2}t^2\right]^{20}_0$

$\int\limits^{20}_{0} {c'(t)} \, dt =3600+600$

$\int\limits^{20}_{0} {c'(t)} \, dt =4200$

So, the amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

5 0

3 years ago

Marcus randomly draws tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green

IrinaVladis [17]

Answer: 1. D) 30

2. A) 8

3. B) 4/15

4. A) 2/9

5.D) 64%

Step-by-step explanation:

1. Since, here the tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token.

Thus, the total token = 10 blue tokens+ 8 green tokens+ 12 red tokens = 30 token

Therefore, If the first draw is a green token, Then total outcomes that will possible = 30.

2. Since, getting green is an event with 8 favorable outcomes.

Therefore, If the first draw is a green token, Then total favorable outcomes that will possible = 8.

3. The possibility of getting green in first drawn, P(G) = $\frac{8_C_1}{30_C_1}$

P(G) = $\frac{8}{30} = \frac{4}{15}$

4. Here, Number of red socks= 5

Number of white socks = 2 and Number of blue socks=3

Therefore total socks = 10

⇒ Probability of picking a pair of red socks,

P(R)= $\frac{5_C_2}{10_C_2} = \frac{10}{45}$

⇒ P(R)= 2/9

5. Since, here coin is flipped 50 times and lands on heads 32 times.

Therefore, experimental probability that coin will land on heads on the next flip = (total times in which head appears/ total number of experiments) × 100 = (32/50)×100=64%

3 0

3 years ago

A rectangle has a length that is three feet more than twice it’s width. If the area of the rectangle is 90 square feet, then alg

Mkey [24]

Answer:

$Length=27feet\\Width=12 feet$

Step-by-step explanation:

Let, the length of the rectangle be 'L'

and, width of the rectangle be 'W'

length=2*Width+3

$L=(2W+3) feet\\\\$

Area of the rectangle= 90 square feet

Area of a rectangle = Length*Width

$90=(2W+3)*W\\\\2W^2+3W=90\\\\2W^2+3W-90=0\\\\$

Using Factorization Method to solve quadratic equation:

$2W^2-12W+15W-90=0$

Taking common from the equation:

$2W(W-12)+15(W-12)=90\\\\(W-12)(2W+15)=0\\\\W-12=0\\\\W=12 feet$

OR

$2W+15=0\\\\2W=-15\\\\W=-7.5 feet$

The Width cannot be negative, therefore Width(W)=12 feet

$Length=2*Width+3\\\\=(12*2)+3\\\\=24+3\\\\=27 feet$

$Length=27feet\\Width=12 feet$

3 0

3 years ago

How does the 5 in the tens place<br> compare to the 5 in the ones place?<br> 3,055

morpeh [17]

Answer:

The 5 in the tens place has more value then the 5 in the ones place

Step-by-step explanation:

4 0

3 years ago

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