Express 80 as a product of prime numbers

Answers

Answer 1

Answer:

2 * 2 * 2 * 2 * 5

Step-by-step explanation:

Answer 2

Answer:

2^4*5 OR 2*2*2*2*5

Step-by-step explanation:

using prime factorization

factors of 80 are 10*8 then factor 8 and 10 and so on until you are left with all prime numbers.

Hope this helps!


Related Questions

Based on these results, which of these statements
are true?
-You would expect to get 0 heads and 3
heads about the same number of times.
-You would expect to get 1 head and 2 heads
about the same number of times.
-This would be a good experiment to use to
find the probability that a family has a dog or
a cat.
-This would be a good experiment to use to
find the probability that a family with 3 kids
has 1 boy

Answers

Answer:

e2020 is A and B

Step-by-step explanation:

Answer:

A-you would expect to get 0 heads and 3 heads about the same number of times

B-You would expect to get 1 head and 2 heads about the same number of times

Step-by-step explanation:

What is 351.68 rounded to the nearest tenth?

Answers

Answer:

351.7

Step-by-step explanation:

The first number after the decimal is the tenth. Round up if the second number is 5 or above, round down if the second number is below 5.

Answer:

351.7

Step-by-step explanation:

Look at the tenths space which is one place to the right of the decimal. It is a 6.

Then look at the number behind it: if the number behind is is 4 or less the number in front stays the same, if the number behind it is 5 or more the number in front goes up one more

so there is an 8 behind the 6, so you round the 6 to a 7

What is the circumference of this circle, in centimeters? Use
d = 21 cm
33
66
207.4
346.5

Answers

Answer:

66 cm

Step-by-step explanation:

Diameter of the circle = 21 cm

π = 22/7

Circumference of a circle, C= πD

C = 22/7 * 21

C = 22 * 3 * 7 / 7

C = 22 * 3

C = 66 cm

Answer:

B:66

Step-by-step explanation:

Find the tangent of theta

Answers

Given:

Right triangle.

Base = 10

Hypotenuse = 26

To find:

The missing side length

Solution:

Let the missing side length be x.

Using Pythagoras theorem:

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

[tex]10^2+x^2=26^2[/tex]

[tex]100+x^2=676[/tex]

Subtract 100 from both sides.

[tex]100+x^2-100=676-100[/tex]

[tex]x^2=576[/tex]

Taking square root on both sides.

[tex]x=24[/tex]

The missing side length of the right triangle is 24.

What is the measure of ?
Angles are not necessarily drawn to scale.
149

Answers

Answer:

60

Step-by-step explanation:

help me please 20 points

Answers

Answer:

the answer would be 15/4, but you have to write it in other forms so do 15 div 3 and 4 div by 3 that gives you 1/3 .       ANSWER = A

Step-by-step explanation:

You need $40 to buy a new pair of shoes. You have saved $15. Which inequality
models how much more you must save?

Answers

you must save $25 in order to buy a new pair of shoes

Answer:

40<or= 15+ x

Step-by-step explanation:

In ΔKLM, the measure of ∠M=90°, LK = 25, KM = 7, and ML = 24. What ratio represents the cosine of ∠L?

Answers

Answer:

24/25

Step-by-step explanation:

cosin=cah adjacent over hypotenuse

"The correct ratio representing the cosine of ∠L in ΔKLM is [tex]\(\frac{7}{25}\).[/tex]

In right-angled triangle ΔKLM, where ∠M is 90°, the cosine of ∠L is defined as the ratio of the adjacent side to the hypotenuse.

The adjacent side to ∠L is KM, and the hypotenuse is LK.

 Given that LK = 25 and KM = 7, the cosine of ∠L is calculated as follows:

[tex]\[ \cos(\angle L) = \frac{\text{Adjacent side (KM)}}{\text{Hypotenuse (LK)}} = \frac{7}{25} \][/tex]

This ratio [tex]\(\frac{7}{25}\)[/tex] represents the cosine of ∠L in ΔKLM."

Albert wants to buys some pens. He is comparing 4 different packs of pens. The number of pens in each pack and the cost of the pack is shown in the table below. Which two packs of pens have the same cost per pen? ​

Answers

Answer:

There are 2 red pens in each pack

There are 3 blue pens in each pack

Step-by-step explanation:

we know that

270=2*3^{3} *5

180=2^{2}*3^{2}*5

Find the Greatest Common Factor (GCF)

The GCF is equal to------> 2*3^{2}*5=90

the greatest number of packs she can make is 90

Find the number of red pens in each pack 180/90=2 red pens

Divide the total number of red pens by the total number of packs

Find the number of blue pens in each pack 270/90=3 blue pens

Divide the total number of blue pens by the total number of packs

Write 10 ^ 10 * 10 ^ 0 with a power of 10 with a single exponent using the appropriate exponent rule explain or show your reasoning

Answers

Answer:

10^10

Step-by-step explanation:

Anything to the power of 0 is 1. 10^10 *1 is still 10^10

Answer:

10^10

Step-by-step explanation:

A potential solution of sqrt(2x + 3) = sqrt(2x) + 3 is?

Answers

Start by squaring both sides. You’ll get 2x + 3 = 2x + (6sqrt2x) + 9.
Now solve for x:
3 = (6sqrt2x) + 9.
-6 = 6sqrt2x.
-1 = sqrt2x.
Square both sides:
1 = 2x
x =1/2 is a possible answer

Answer:

1/2 and the second part is A

Step-by-step explanation:

e2020

The time it takes for a canoe to go 3 miles upstream and back 3 miles downstream is 4 hours. The current in the lake is 1 mile per hour. Find the average speed of the canoe.

Answers

Final answer:

The average speed of the canoe is 1.5 mph.

Explanation:

To find the average speed of the canoe, we need to calculate the time it takes for the canoe to go both upstream and downstream. Let's start with the time it takes to go upstream:

Distance = 3 miles
Speed of canoe = Speed in still water - Speed of current = 8 mph - 1 mph = 7 mph

Time = Distance / Speed = 3 miles / 7 mph = 0.429 hours

Now, let's calculate the time it takes to go downstream:

Distance = 3 miles
Speed of canoe = Speed in still water + Speed of current = 8 mph + 1 mph = 9 mph

Time = Distance / Speed = 3 miles / 9 mph = 0.333 hours

Finally, we can find the average speed of the canoe by dividing the total distance traveled (6 miles) by the total time taken (4 hours): average speed = total distance / total time = 6 miles / 4 hours = 1.5 mph.

factor polynomial 4a^2-4a+1

Answers

Answer:

(2a−1)(2a−1)

Step-by-step explanation:

Factor 4a2−4a+1

4a2−4a+1

=(2a−1)(2a−1)

Answer:(2a-1)(2a-1)

Step-by-step explanation:

4a2-4a+1

Factorise

Factors of -4 is -2&-2

Substitute

4a2-2a-2a+1

2a(2a-1)-1(2a-1)

(2a-1)(2a-1)

Or we say

(2a-1) twice

Which of the following are true about x? Check all that
apply.
0 xEA
XEB
хе С
XEAUB
XEAUC
XEANB

Answers

Answer:

all except the first one

Step-by-step explanation:

just did this assignment

The statements true about x are all the statements other than first one. x ∈ B, x ∉ C, x ∈ A∪B, x ∈ A∪C and x ∈ A∩B.

What is Venn Diagram?

Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.

Given is a Venn diagram.

The blue portion of the circle is A.

Pink portion is B.

Green portion is C.

x is inside the blue circle.

So x belongs to A. x ∈ A

So the statement 1 is not true.

x is also inside the pink portion.

So, x ∈ B

x is not inside the green portion.

So, x ∉ C

A ∪ B consists of all the elements inside A and all the elements inside B.

So x ∈ A∪B

Since x ∈ A, x will be included in A ∪ C.

So, x ∈ A∪C

A ∩ B consists of elements which are both in A and B.

Since, x ∈ A and x ∈ B, x ∈ A∩B

Hence all the statements other than first are true.

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The complete question is given below.

Calculate the Rate of Return on an initial investment of $6,000 valued at $6,500.

Answers

Answer:

8.3%

Step-by-step explanation:

The rate of return on initial investment is 8.34%.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the investment is $6,000 and valued at $6,500. The rate of the return will be calculated as,

Rate of return = ( 6500 - 6000) / 6000

Rate of return = 800 / 6000

Rate of return = 8.34%

Therefore, the rate of return on initial investment is 8.34%.

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solve for x, x/25 > 5

Answers

Answer:

  x > 125

Step-by-step explanation:

Multiply both sides of the inequality by 25:

  25(x/25) > 25(5)

  x > 125

_____

Comment on solving inequalities

In general, you solve these the same way you would an equation. The difference comes when you use an operation that changes ordering. Multiplying or dividing by a negative number does that, for instance.

Consider ...

  2 > 1.

Multiply both sides by -1, and it is true only if you reverse the comparison:

  -2 < -1

(There are other operations that change ordering, but this is the one you will likely run across most often.)

given the sequence 3, 6... what would the 10th term be?

Answers

Answer:

30

It is the multiple of 3.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

That are counting by 3’s so the 10th term would be 30 because 3×10 =30

Please mark me as Brainliest:)

!NEED HELP URGENTLY!
p − 10p + -5p + 14p − -9p − 2 = -20

Answers

Answer:

p = -2

Step-by-step explanation:

p − 10p + -5p + 14p − -9p − 2 = -20

-9p + 9p + 9p = -20 + 2

9p = -18

p = -2

The diameter of the circle above is 8 cm. What is the circumference of the circle?
1) 12.56 cm
2) 25.12 cm
3) 100.48 cm
4) 50.24 cm

Answers

Answer:The Answer is D) 50.24 cm

Step-by-step explanation:

Answer: 2) 25.12 cm

Explanation: 8cm Diameter

Which complex number is equivalent to (5 + 12i) − (9i2 − 6i), where i =
−1
?

Answers

Answer:

14 + 18i

Step-by-step explanation:

[tex](5 + 12i) - (9 {i}^{2} - 6i) \\ = (5 + 12i) - (9 \times (- 1) - 6i) \\ = (5 + 12i) - ( - 9 - 6i) \\ = (5 + 12i) + ( 9 + 6i) \\ = 5 + 12i + 9 + 6i \\ \red { \bold{ = 14 + 18i}}[/tex]

Answer: It's 14+18i I got a correct

1/3 of a number equals 12 which equation could be used to find the number

Answers

Answer: If you're looking for just an equation it would be 1/3x=12. If you need the answer as well, x=36.

Step-by-step explanation: "Of a number" means to multiply by x.

If you're looking for the solution to the equation as well, multiply both sides by 3. 12*3=36

The base diameter and the height of a cone are both equal
to x units
Which expression represents the volume of the cone, in
cubic units?
Pix^2

Answers

Answer:

1/3 times x squared divided by 4 times pi times x.

Step-by-step explanation:

Hope this helps!

Heather earns 8.00 per hour for walking a dog how many hours must she work to earn 256.00
Pls be quicckkkkkk

Answers

32 hours. Hope this is quick!

Answer:

32

Step-by-step explanation:

What is the slope of y = -4?

Answers

Answer:

Slope is 0

y-intercept:-4

Step-by-step explanation:

Answer:-4

Step-by-step explanation:

Because the slope is 0 so substitute

Evan's science class planted sunflower seeds as part of a research project. A student was sent out each week to measure the height of a flower of their choice. The data in the scatter plot shows their findings from week 2 to week 12.


Which function, h(w), approximates the height of the sunflowers after w weeks?

A) h(w) = 0.30x - 1.09

B) h(w) = 0.30x + 1.52

C) h(w) = 3.18x + 3.78

D) h(w) = 3.23x - 4.14

Answers

Answer:

D

Step-by-step explanation:

If you graph equation D you get the following graph, which is closest to the plots

Final answer:

It's impossible to determine the accurate function h(w) that approximates the height of the sunflowers after w weeks from the question alone. This would typically involve evaluating a scatter plot and applying linear regression to find the best fitting function. The approximating function would be understood as the one that best matches the given options, minimizing the distance between the data points and the line.

Explanation:

The function that approximates the height of the sunflowers after w weeks (h(w)) cannot be determined directly from the question as it depends on the data present in the scatter plot that was mentioned. Given a scatter plot, we would aim to find a function that best approximates the trend or pattern seen in the plot.

It's an instance of linear regression, a statistical method used to model the relationship between a dependent variable (in this case, height of the sunflowers) and one or more independent variables (in this case, number of weeks). Assuming a linear relationship between weeks and the height of the sunflowers, we want to fit a linear equation (like the given options) that represents this correlation, minimizing the distance between the data points and the line.

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Anna Maria read 40 pages in 60 minutes. What is her unit rate in pages per unit?

Answers

Answer:

2/3 (0.6 repeating) pages per minute

Step-by-step explanation:

Divide the numerator (40) by the denominator (60).

You get 2/3 pages per minute.

Jim Tree bought a home with a 10% adjustable rate mortgage for 20 years. He paid $9.66 monthly per thousand on his original loan. At the end of 2 years he owes the bank $55,000. Since interest rates have risen to 12%, the bank will not renew the mortgage at this rate, or Jim can pay the bank $55,000. He decides to renew and will now pay $11.02 monthly per thousand on his loan. For comparison purposes the small amount of principal that has been paid during the 2 years can be ignored.

Old monthly payment =_______
New monthly payment =_______
Percent increase in monthly payment (to nearest tenth) =______

Answers

Old monthly payment = $966

New monthly payment = $605.10

Percent increase (to nearest tenth) = -37.3%

Given that,

Jim Tree bought a home with a 10% adjustable rate mortgage for 20 years.

He paid $9.66 monthly per thousand on his original loan.

At the end of 2 years, he owes the bank $55,000.

Interest rates have risen to 12%, and the bank will not renew the mortgage at this rate.

Jim can either pay the bank $55,000 or renew the mortgage at the higher interest rate.

Jim decides to renew and will now pay $11.02 monthly per thousand on his loan.

For comparison purposes, the small amount of principal that has been paid during the 2 years can be ignored.

Based on the information provided, Jim's old monthly payment can be calculated as follows:

Calculate Jim's original loan amount. We know that he paid $9.66 monthly per thousand on his original loan,

So if we divide his monthly payment by 1000,

We get his monthly interest rate:

$9.66 ÷ 1000 = 0.00966

Use the loan formula to calculate Jim's original loan amount:

Loan amount = Payment amount ÷ (Interest rate x (1 + Interest rate[tex])^N[/tex]- 1)

Where N is the number of payment.

Using this formula, and plugging in Jim's numbers, we get:

Loan amount = $9.66 ÷ (0.00966 x [tex](1 + 0.00966)^{240}[/tex] - 1)

                      = $100,000

Now that we know Jim's original loan amount, we can calculate his old monthly payment:

Old monthly payment = Loan amount x Payment amount per thousand

                                    = $100,000 x $9.66

                                    = $966

Therefore, Jim's old monthly payment was $966.

To calculate the new monthly payment and the percent increase,

We can follow these steps:

First, we need to calculate Jim's new loan amount.

We know that he owes the bank $55,000 after 2 years,

So we can use this amount as his new loan amount:

New loan amount = $55,000

Calculate Jim's new monthly interest rate.

We know that the interest rate has increased from 10% to 12%,

So we can calculate the new monthly interest rate as follows:

New monthly interest rate = 12% ÷ 12

                                            = 0.01

Use the loan formula again to calculate Jim's new monthly payment:

New monthly payment = Loan amount x Payment amount per thousand

                                      = $55,000 x $11.02

                                      = $605.10

Therefore, Jim's new monthly payment is $605.10.

To calculate the percent increase,

we can use the following formula:

Percent increase = ((New value - Old value) ÷ Old value) x 100%

Plugging in Jim's numbers, we get:

Percent increase = ((605.10 - 966) ÷ 966) x 100% = -37.3%

Therefore, the percent increase (to the nearest tenth) is -37.3%.

However, note that this is a negative value, which means that Jim's new monthly payment is actually lower than his old monthly payment.

This is likely due to the fact that the loan amount has decreased significantly since Jim has already paid off a portion of the loan during the first 2 years.

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Final Answer:

Old monthly payment = $531.30
New monthly payment = $605.10
Percent increase in monthly payment (to the nearest tenth) = 13.9%

Explanation:

Let's calculate each part step by step.
Firstly, we will calculate the old monthly payment. Jim was paying at a rate of $9.66 monthly per thousand dollars of the original loan. We'll first determine how many thousands of dollars Jim owed at the beginning:

1. Old Monthly Payment:
Since he owes $55,000 at the end of 2 years and hasn't paid much towards the principal, we assume that the original loan amount was approximately $55,000.

Now, if he paid $9.66 per thousand dollars of the loan, we will calculate the monthly payment with the following steps:
- Divide the loan amount by 1,000 to find out how many "units" of $9.66 he would have to pay.
- Multiply the number of units by $9.66 to find the monthly payment.

Doing the calculations:
[tex]\( \frac{55,000}{1,000} = 55 \) units. \\\\\( 55 \text{ units} \times $9.66 = 55 \times 9.66 = $531.30 \).[/tex]
So, the old monthly payment was $531.30.

2. New Monthly Payment:
Now that the interest rate has increased to 12%, Jim will be paying at a rate of $11.02 monthly per thousand dollars.

Using the same method as above:
- Divide the loan amount by 1,000 to get the number of units.
- Multiply the number of units by $11.02 to find the new monthly payment.

Calculations:
[tex]\( \frac{55,000}{1,000} = 55 \) units.\\\\\( 55 \text{ units} \times $11.02 = 55 \times 11.02 = $605.10 \).[/tex]
So, the new monthly payment is $605.10.

3. Percent Increase in Monthly Payment:
To find the percent increase, we'll use the formula:

[tex]\[ \text{Percent Increase} = \left( \frac{\text{New Payment} - \text{Old Payment}}{\text{Old Payment}} \right) \times 100 \][/tex]
Performing the calculation:
[tex]\[ \text{Percent Increase} = \left( \frac{605.10 - 531.30}{531.30} \right) \times 100 \\\\\[ \text{Percent Increase} = \left( \frac{73.80}{531.30} \right) \times 100 \\\\\[ \text{Percent Increase} = 0.1388 \times 100 \\\\\[ \text{Percent Increase} = 13.88\% \][/tex]

To find the nearest tenth, we'll round the percent increase to one decimal place:
13.88% rounded to the nearest tenth is 13.9%.

Now, we can write down the final answers:
Old monthly payment = $531.30
New monthly payment = $605.10
Percent increase in monthly payment (to the nearest tenth) = 13.9%

400 ml squash is made by mixing 50 ml of cordial with water. what fraction of the drink is water?give your answer in its simplest form.

Answers

squash = cordial + water

400 ml = 50 ml + x ml

350 ml = x ml

Therefore, 350 ml are water.

350 ml / 400 ml = 0.875 = [tex]\frac{350}{400} = \frac{35}{40} = \frac{7}{8}[/tex]

So the answer is 7 / 8

louis and valentina have 60 toys to build louis builds 1/2of the toys while valentina builds 2/5 how many toys are left

Answers

Answer:

6

Step-by-step explanation:

1/2 = 0.5

2/5 = 0.4

60 × 0.5 = 30

60 × 0.4 = 24

30 + 24 = 54

60 - 54 = 6

Answer:

6

Step-by-step explanation:

Louis build 1/2 of the toy and the total of the toy is 60

Which means

1/2×60=30

Valentina build 2/5 toy

2/5×60

120/5

24

So to determine the amount left

It will be

Total-(Louis+Valentina)

60-(30+24)

60-(54)

60-54

6

So the amount left is 6

The volume of a sphere is 500
3
πcm3. What is the radius?

Answers

Answer:

Step-by-step explanation:

The volume of a sphere is 500 3 πcm3. what is the radius? sphere v = 4 3 πr3 1. substitute value into formula:   500 3 π = 4 3 πr3 2. undo multiplication of 4 3 :     125π = πr3 3. undo multiplication of π:     125 = r3 4. undo cube:          3√125 = r the radius of the sphere is 6 ⇒ 5 cm

Answer:

about 4.9 cm

Step-by-step explanation:

The equation for the volume of a sphere is V= [tex]\frac{4}{3}\pi r^3[/tex] . So, to solve this problem we will plug in 500 for V and solve for the radius, [tex]r[/tex].

500= [tex]\frac{4}{3} \pi r^3[/tex] Multiply both sides by 3: [tex]1500=4\pi r^3[/tex] Divide both sides by 4: [tex]375=\pi r^3[/tex] Divide both sides by [tex]\pi[/tex]: [tex]\frac{375}{\pi } =r^3[/tex] Find the cubed root of both sides: [tex]4.9237=r[/tex] The radius is about 4.9 cm
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