A computer code is based on the prime factorization of 160 find the prim3 factorization of 160

Answers

Answer 1

Answer: the easy way to do this is to divide 160÷3= and you will get yo answer

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the price of milk in 2013 was around $3.28 a gallon. This was eight times as much as you would have probably paid for a gallon of milk in the 1950s. Whatwas the cost for a gallon of milk during the 1950s? show your calculations.

Answers

The cost of the milk is $\fbox{\$\,0.41{\text{ a gallon}}}$ in 1950s.

Further explanation:

The price of milk in 2013 was around $\$3.28$ a gallon.

And it is given that this was eight times as much as one can would have probably paid for a gallon of milk in the 1950s.

It is given that the price of milk in 2013 is $\$3.28$ a gallon.

Assume the price of milk in 1950 be $\$x$ a gallon.

Now, given that 8 times of $x$ is the price of milk in 2013.

Therefore, $8x$ is the price of milk in 2013 and also $\$3.28$ is the price of milk in 2013.

Equating $8x$ and $\$3.28$ equal as both are the price of milk in 2013 as,

$\begin{aligned}8x&=3.28\nx&=\frac{{3.28}}{8}\nx&=0.41\n\end{aligned}$

Here, x is the price of milk in 1950.

Therefore, the cost of the milk is $\fbox{\$\,0.41{\text{ a gallon}}}$ in 1950s.

Learn more:

1. Problem on the slope-intercept form brainly.com/question/1473992.

2. Problem on the center and radius of an equation brainly.com/question/9510228

3. Problem on general form of the equation of the circlebrainly.com/question/1506955

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Linear equations in one variable

Keywords: Cost, gallon, milk, linear equation in one variable, polynomials, variables, real numbers, degree of polynomials, equations, expressions, coefficients, zero polynomial, constants, integers, roots of polynomials.

the price of the milk in the 1950s = x
8x =3.28
x = 3.28/8 =0.41$
so the price of the milk was 0.41$ a gallon

johns test grades in his science class are 82, 93, 75, and 89 what is his average? 1. (87.45) 2. (80.00) 3. (90.40) 4. (89.25) 5. (84.75)

Answers

Answer:

The average of the John scores is 84.75.

Step-by-step explanation:

Formula of average is given as :

$A=\frac{\text{Sum of all the terms}}{\text{Number of terms}}$

We have:

Test grades of John: 82, 93, 75, and 89

Number of terms - 4

Average of the score of the John;

$a=(82 + 93 +75 + 89)/(4)=84.75$

The average of the John scores is 84.75.

First you add all the numbers together. So you add 82+93+75+89 to get 339. Once you get that, you divide it by the amount of numbers there are. In this case, it's 4. 339 divided by 4 is 84.75.

HOPE THIS HELPS!!

36 is 0.9% of what number w?

Answers

We set up an equation: 36/?= 0.9/100

Cross multiply: 0.9*?= 36*100
⇒ ?= 36*100/0.9= 4000

36 is 0.9% of 4000.

36 x 0.9 = answer
you can use a calculator

What is the volume of this cube?Enter your answer as a decimal in this box.

in³ the box 4.2in

Answers

Answer:

4.2x4.2x4.2

Step-by-step explanation:

The number of employees for a certain company has been decreasing each year by 6%. If the company currently has 720 employees and this rate continues, find the number of employees in 10 years.

Answers

Answer:

There will be 387

Step-by-step explanation:

This question is an example of compound decrease.

To work this out you would first have to convert the percentage of 6 into a decimal. You can do this by dividing the percentage of 6 by 100, this gives you 0.06. This is because percentages are out of 100.

The next step is to minus 0.06 from 1, this gives you 0.94. This is because we are working out the percentage decrease.

Finally to work this out you would multiply the amount of 720 by 0.94 to the power of 10, this gives you 387.80. However there can not be a decimal of a person and so it becomes 387. This is because it is working out 6% and subtracting it and then working out 6% of that new amount. This repeats 10 times.

1) Divide 6 by 100.

$6/100=0.06$

2) Minus 0.06 from 1.

$1-0.06=0.94$

3) Multiply 720 by 0.94 to the power of 10.

$720*0.94^10=387.80$

4) Round down

387

So the employees are decreasing by 6% every year.

We would represent this as: 0.06

We would represent 720 as: 720(1- .05)^0=720

So the equation would be: 720(1-0.06)^10=X
720(0.94)^10=X
720(0.53861511409)=X
387.8=X
388=X
So, after 10 years the company would have 388 employees left.

In a water treatment plant, water passes through a cone-shaped filter with a height of 4 m and a diameter of 9 m. The water flows from the filter into a cylinder below it. One full cone-shaped filter fills one-fifth of the cylinder.What are the dimensions of the cylinder? Use 3.14 to approximate pi.

A.
h = 3 m; r = 3 m

B.
h = 4.23 m; r = 5 m

C.
h = 15 m; r = 6 m

D.
h = 33.75 m; r = 2 m

Answers

so volume of a cone=1/3 times (area of base) times height

area of base=circle so
1/3 times pi times radius^2 times height

height=4
diameter=2radius
diameter/2=radius
9/2=4.5=radius

height=4
radius=4.5
aprox pi at 3.14
1/3 times (3.14 times 4.5^2) times 4=84.78
that's the volume of the cone

volume of cone=1/5 of cylinder

84.78=1/5cylinder
multiply both sdies by 5
423.9=volume of cylinder

volume of cylinder=height times area of base
area of base=3.14 times r^2
v=h3.14r^2
423.9=3.14hr^2
divide both sdies by 3.14
135=hr^2
sincewe are not given the specific ratio of height to radius or such to thecone to the cylinder, we must use trial and error to elimninate wrongchoices

135=hr^2
let's try A

A
135=3(3^3)
135=3(9)
135=27
false
A is wrong

B
4.23=h 5=r
135=4.23 times 5^2
135=4.23 times 25
135=105.75
false
B is wrong

C
h=15 r=6
135=15 times 6^2
135=15 times 36
135=540
false
C is wrong

D
33.75=h 2=r
135=33.75 times 2^2
135=33.75 times 4
135=135

the answer is D since it fitst the dimentions

$(9/2*9/2*4* \pi )/(3)$
= $(81*3.14 )/(3)$
=27*3.14 (the cone's v)
so multiply 5 to the v = 135*3.14 (cylinder's v)
A:3*3*3*3.14=27*3.14 X
B:5*5*4.23*3.14=105.75*3.14 X
C:6*6*15*3.14=540*3.14 X
D:2*2*33.75*3.14=135*3.14 O
Answer: is .....D
:)

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