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Alla [95]
2 years ago
5

When the Foresthill Wildfire band returned from a recent competition, 24 of the students attended school before realizing they h

ad contracted a strong flu virus. The virus quickly spread and each day the number of students with the flu increased by an estimated 30%. How many people will have the flu after five days?
Mathematics
1 answer:
Vilka [71]2 years ago
8 0
Awesome cool fantastic
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Ruby and her children went into a bakery and she bought $18 worth of donuts and cookies. Each donut costs $1 and each cookie cos
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5 0
1 year ago
Mr. Shamir employs two part-time typists, Inna and Jim, for his typing needs. Inna charges $15 an hour and can type 6 pages an h
coldgirl [10]

Answer:

The minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

Step-by-step explanation:

We are given the following information in the question:

Charges for 1 hour for Inna = $15

Number of pages typed by Inna in 1 hour = 6

Charges for 1 hour for Jim = $18

Number of pages typed by Jim in 1 hour = 8

Let x be the number of hours Inna work and let y be the number of hours Jim work.

Total cost = 15x + 18y

We have to minimize this cost.

Then, we can write the following inequalities:

6x + 8y \geq 208\\x \geq 8\\y \geq 8\\

The corner points as evaluated from graph are: (8,20) and (24,8)

C(8,20) = 480$

C(24,8) = 504$

Hence, the minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

The attached image shows the graph.

3 0
1 year ago
John took all his money from his savings account. He spent ​$110 on a radio and 4/11 of what was left on presents for his friend
svp [43]

Answer:

$1210

Step-by-step explanation:

Let x be total amount

First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with

\frac{7}{11}(x-110)=\frac{7}{11}x-70

Then he put 2/5 of his remaining money into a checking account

\frac{3}{5}\left(\frac{7}{11}x-70\right)

Rest he donated to charity

420=\frac{3}{5}\left(\frac{7}{11}x-70\right)\\\Rightarrow \left(\frac{7}{11}x-70\right)=\frac{2100}{3}\\\Rightarrow \frac{7}{11}x-70=700\\\Rightarrow \frac{7}{11}x=770\\\Rightarrow x=1210

Hence total amount of money John originally had was $1210

8 0
1 year ago
Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How
Ilya [14]

Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

  • if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
  • if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).

The distance between two points with coordinates (x_1,y_1) and (x_2,y_2) can be calculated using formula

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

Therefore, the distance between  Jacob and Sharon is

D=\sqrt{(12-(-4))^2+(-5-3)^2}=\sqrt{16^2+8^2}=\sqrt{256+64}=\sqrt{320}=8\sqrt{5}\approx 11.18\ m.

7 0
2 years ago
500 people are surveyed and asked to check the boxes that apply to them.
motikmotik

Answer:

1. A Venn diagram is attached. The amount of people that have health insurance and is confident about the economy is 287.

2. The amount of people that have health insurance and is not confident about the economy is 116.

3. The amount of people that have health insurance or  is confident about the economy is 437.

Step-by-step explanation:

1) Using sets theory, we know:

U: 500 people surveyed

A: people who is confident in the economy

B: people that have health insurance

A' and B': people who is not confident in the economy and don't have health insurance.

A=321

B=403

A' and B' =63

In the attached picture we can see a Venn diagram that represents the situation. In order to obtain the intersection of both sets A∩B, we calculate:

(321 - x) + (403 - x) + x + 63 = 500

321 - x + 403 - x + x + 63 +x -500 = 500 +x - 500

321 + 403 + 63 -500 = x

x= 287

2) The amount of people that have health insurance and is not confident about the economy is given by the intersection of the complement of set A and set B:

A' ∩ B can be calculated as:

B - (A ∩ B)= 403 - 287= 116

3) The amount of people that have health insurance or  is confident about the economy is given by:

(A∪B) = (A) + (B) - (A ∩ B)

(A∪B) = 321 + 403 - 287= 437

7 0
2 years ago
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