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2 years ago

You had a goal to collect 50 cans for a food drive. You were able to collect 83 cans. What percent of your goal did you collect?

Mathematics

2 answers:

irina1246 [14]2 years ago

6 0

Answer:

you have 33 cans and so you have completed 166% of your goal

Step-by-step explanation:

I dont know

pashok25 [27]2 years ago

6 0

Answer: You made 33% of your goal

Step-by-step explanation:

83- 50 = 33 to find your percentage you must subtract first.

50+ 33 = 83

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Two busses leave Billings at the same time. The Seattle bus heads west on I-90 at a speed of 73 miles per hour while the Chicago

eimsori [14]

Answer:

3.5 hours

Step-by-step explanation:

The buses are separating from each other at a speed of 73+79 = 152 miles per hour. Since time = distance/speed, the time it takes to be 532 miles apart is ...

time = (532 miles)/(152 miles/hour) = (532/152) hours = 3.5 hours

7 0

2 years ago

Read 2 more answers

A flu epidemic is spreading through a town of 48,000 people. It is found that if x and y denote the numbers of people sick and w

Liula [17]

Answer:

a) The simultaneous equation represented in matrix form, is

[1/3 1/4] [x] = [s]

[2/3 3/4] [y] = [w]

Ax = B

[1/3 1/4] = matrix A (matrix of coefficients)

[2/3 3/4]

[x] = matrix x (matrix of unknowns)

[y]

[s] = matrix B (matrix of answers)

[w]

b) Number of sick people the preceding week = 12005

Step-by-step explanation:

x = Number of sick people in a week

y = Number of people that are well in a week

s = Number of sick people the following week

w = Number of people that are well the following week.

The relationship between these is given as

(1/3)x + (1/4)y = s

(2/3)x + (3/4)y = w

In matrix form, this is simply presented as

[1/3 1/4] [x] = [s]

[2/3 3/4] [y] = [w]

which is more appropriately written as

Ax = B

where

[1/3 1/4] = matrix A (matrix of coefficients)

[2/3 3/4]

[x] = matrix x (matrix of unknowns)

[y]

[s] = matrix B (matrix of answers)

[w]

b) Taking the current conditions as s and w, then the preceding week will be x and y

The number of sick people in this week, s = 13000

The number of people well in this week, w = total population - Number of sick people.

w = 48000 - 13000 = 35000

So, the simultaneous equation becomes

(1/3)x + (1/4)y = 13000

(2/3)x + (3/4)y = 35000

Then we can solve for the number of sick and well people the preceding week.

We can solve normally or use matrix solution.

Ax = B

x, the matrix of unknowns is given by product of the inverse of A (inverse of the matrix of coefficients) and B (matrix of answers)

x = (A⁻¹)B

But, solving normally,

(1/3)x + (1/4)y = 13000

(2/3)x + (3/4)y = 35000

x = 12004.8 = 12005

y = 35995.2 = 35995

Number of sick people the preceding week = x = 12005

8 0

2 years ago

The height of an adult male is known to be normally distributed with mean of 175 cm and standard deviation of 6 cm. The 20th per

dusya [7]

Answer:

The height below which 20% of the persons lie equals 169.95 cm

Step-by-step explanation:

Given that

Mean height = 175 cm

Standard deviation = 6 cm

Hence for the given question we need to find the standard variate factor ( Z factor) corresponding to the 20% of the area under the standard normal distribution curve

Using the standard normal distribution tables we have Z factor corresponding to an area of 20% equals ( Z = -0.84166)

Thus we have

$Z=\frac{X-\bar{X }}{\sigma }\\\\\Rightarrow -0.84166=\frac{X-175}{6}\\\\\therefore X=-0.84166\times 6+175\\\\X=169.95cm$

6 0

2 years ago

Can anyone please help me with this question? : A target consists of two concentric circles. The larger circle has diameter 1m.

11111nata11111 [884]

We know that
if <span>the probability of hitting the blue circle is the same as the probability of hitting the green region
then
the area of the blue circle is equal to the area of the green region

Let
x----> diameter of the blue circle

area of the blue circle=pi*(x/2)</span>²----> (pi/4)*x² m²-----> equation 1

area of the green region=area of the larger circle-area of the blue circle
area of the green region=pi*(1/2)²-(pi/4)*x²
=(pi/4)-(pi/4)*x² m²----> equation 2

equate equation 1 and equation 2
(pi/4)*x²=(pi/4)-(pi/4)*x² -----> divide by (pi/4)---> x²=1-x²
2x²=1-----> x²=1/2----> x=1/√2-----> x=√2/2 m

the diameter of the blue circle is √2/2 m

5 0

2 years ago

On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 0.25). The line exits t

lora16 [44]

Answer: D) as x → ∞, y → ∞

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

see graph

Notice that as x approaches negative infinity (goes to the left), the y-value decreases (goes toward negative infinity).

And as x approaches positive infinity (goes to the right), the y-value increases (goes toward positive infinity).

6 0

2 years ago