Question Progress
Homework Progress
20/32 Marks
a) Write 375 as the product of prime factors.
Give your answer in index form.
b) Work out the Highest Common Factor of 375 and 150.

Answers

Answer 1

Answer:

a) 375 = 3 × 3 × 3× 3 × 5

in index form it is 3 × 5³.

prime factor of,

150 = 2 × 3 × 5 × 5.

To find the HCF, multiply all the prime factors common to both numbers: Therefore, HCF = 3 × 5 × 5.

ANS : 75

hope this helps you☺️☺️


Related Questions

10) What is the absolute value of 27? *

Answers

Answer:

27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

The table shows the ages of Mark's family members.
Name
Age (years)
381
Phil
Tammy
32
4
Liam
?
Chris
91
4
Andi
4
2
The combined age of all five family members is 95 years. What is Liam's age?
A. 10
years
B.
12 years
o c. 141
years
OD. 15 years

Answers

Answer:

b

Step-by-step explanation:

it's b if I am wrong I am sorry

Find the area of the following
kite:
8 cm
2 cm
2 cm
2 cm
2
A = [?] cm2
Enter

Answers

Answer:

Area = 12

Step-by-step explanation:

The perpendicular bisector of the triangle going from upper left to the middle marks the height of the triangle. It's area is found from the standard formula.

Area = b * h / 2

b = 2 + 2 = 4

h = 8

Area = 1/2  * 4 * 8

Area = 1/2 * 32

Area = 16

The smaller triangle is found from all the twos.

b = 2 + 2 same as the larger triangle

h = 2

Area = 1/2 2 * 4

Area = 1/2 8

Area = 4

Total Area = 4 + 16

Total Area = 20

Answer:

Area=20

Step-by-step explanation:

A = 20 cm

Question 20
Penny is the manager of a nursery for pre-school children.
She knows that the ratio of the number of adults to the number of children
must be 1:8
Penny has 56 children at the nursery.
(a) Work out the number of adults Penny needs for 56 children.​

Answers

Answer: 7

Step-by-step explanation:

We know that the ratio adults: children must be 1:8.

So if there are 58 children the ration is x: 56

56/8 (to find the number of adults) = 7

7:56 = 1:8

7000 litres of water is pumped out of a tank in 42 minutes. How many litres could be pumped out in one hour at the same rate?

Answers

Answer:

8600 litre×235 will be there in the tanks

I need the answer I just need DONT scam with a link

Answers

Answer:

==> C. , = 12x + 16x and 4(3x + 4x)

hope it helps

1. Suppose the positive numbers a և b are such that a + b = 7.
A. b-1:
B. 1:
Գ. 0:
D. -1:
E. a

Answers

Գ is the answer for the question

How many different amounts of nuggets can you find that can be ordered by combining 6, 9, and 20?

Answers

- Plot- Something interesting happens. After 43 nuggets, it is possible to fill any order request exactly. The number 43 is the largest number of nuggets it is not possible to make using packs of six, nine and twenty.

"Branliest will be appreciated"

Three years ago, the annual tuition at a university was $3,000. The following year, the tuition was $3,300, and last year, the tuition was $3,630. If the tuition has continued to grow in the same manner, what is the tuition this year? What do you expect it to be the next year?

Answers

Answer:

$3990

Step-by-step explanation:

First, if the tuition increased by 300 the first year, and 330 the next year, I can infer that the tuition increases by $30 a year. This year, the the tuition will cost 360, because 330 + 30 = 360. So, this year the tuition will be 3990, because 3630 + 360 = 3990.

Hope this helps

Simplfy completely (6x − 2)(6x + 2). Show all work for full credit.

Answers

Answer:

there you go. hope this helps out

Answer:

36[tex]x^{2}[/tex] - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36[tex]x^{2}[/tex] - 12x + 12x - 4

= 36[tex]x^{2}[/tex] - 4

It takes 2 workers 6 hours to paint a school hall.
How long would it take 4 workers to paint the same hall

Answers

Answer:

it will take 3 hour to paint the wall

Answer:

3 hours

Step-by-step explanation:

because  we know that 2 x 3 = 6 and 4 x 3 = 12 basically your finding the median. if the number of values is an even number, the median will be the average of the two middle numbers

Sentence: It will take 3 hours for 4 workers to paint the same wall.

what's the distance between (-9,-6) and (-2,-2)

Answers

Answer:

the distance formula is square root (x2-x1)^2 + (y2-y1)^2

7^2 + 4^2 = 49+16 = 65

squarroot of 65 = 8.06

Step-by-step explanation:

Step-by-step explanation:

The distance formula is [tex]\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex]. I don't provide answers for problems like these but will give the equations.

Brian opened a bank account that compounded continuously. The amount, y, in Brian's account can be modeled by this equation.
y=nekt
Where n is the initial amount deposited,
t is the time in years, and
k is the growth constant.
Brian deposited $500 initially and did not make any more deposits or withdrawals. After 8 years, Brian's account has a balance of $625.
What is the value of k?
O A k =
In(.8)
8
O c. k=
In(500)
5000
O B. k=
In(625)
4000
O D. k=
In(1.25)
8

Answers

9514 1404 393

Answer:

  D.  k = In(1.25)/8

Step-by-step explanation:

Solve the equation for k. Maybe you want to put the numbers in first.

  [tex]y=n\cdot e^{kt}\\\\625=500e^{8k}\qquad\text{use the given values}\\\\1.25=e^{8k}\qquad\text{divide by 500}\\\\\ln{(1.25)}=8k\qquad\text{take the natural log}\\\\\boxed{k=\dfrac{\ln(1.25)}{8}}\qquad\text{divide by 8}[/tex]

_____

That's about 2.7893%

what is the shape identify in the image

Answers

Answer:

it is a triangular prism

It is a Triangular prism

Please help. 25 points.

Answers

It is B, the answer you have already selected.
Correct answer: B
Steps:
A=1
B=-8
C=-24
When you plug those into the quad formula you would end up with
x=8 (plus or minus) √160 over 2
When you divide you get
x=4+/-2√10

Assume a student shows up for EGR 280 completely unprepared and the instructor gives a pop quiz. Assume there are 6 questions, every single question is multiple choice question. Assume that each question has five options (a, b, c, d, and e), the student selects the answer randomly. Also assume that whether one question is answered correctly is independent of whether or not another question is answered correctly.

Required:
For a single question, what it the probability (p) that the student answers correctly?

Answers

Answer:

P=20%

Step-by-step explanation:

Let's suppose that each question in the test has one and only one correct answer. This means we have 1 desired outcome out of the total 5 desired outcomes. Therefore:

Probability=#of desired outcomes / #of possible outcomes

or

[tex]P=\frac{1 correct}{5 opctions}[/tex]

[tex]P=\frac{1}{5}[/tex]

P=0.20

P=20%

What is the value in simplest form 8*4/9

Answers

Answer:

32/9 or 3.55555555556

hope this answer helps you!

What is 1/3 of $4.89 dollars

Answers

Answer:

im pretty sure its 1.63

Step-by-step explanation:

lmk if im wrong

The number of guppies that a fish tank can safely hold depends on its volume. A fish tank should have a volume of 576 cubic inches to safely hold 3 guppies. How many guppies can a fish tank that is 24 inches long, 12 inches wide, and 16 inches high safely hold? It can safely hold ___ guppies.

Answers

The answer is 24 guppies. First find the volume of the tank, then divide that volume by 576 (you should get 8), then you multiply 3 guppies by 8 to get 2e

Point A is located at -7 on a number line, and point B is located at 3 on the number line. Point C is the same distance away from point A as point B is from point A, but in the opposite direction. Which is the location of point C on the number line?

options:

-17
-10
-4
-3

Answers

Answer:

Dang someone come help him

Step-by-step explanation:

what is 7.09 Divided by 101

Answers

Answer:

0.070198..

Step-by-step explanation: its an on going number so make sure to put the line on top on the 0198

Round to The nearest hundred 554,695 help

Answers

Answer:

554,700

Step-by-step explanation:

Help ASAP pleaseeee. I will give brainliest!!
Make a list of all the possible outcomes of a three‐color spinner that is spun four times in a row.

Answers

There is 81 possible outcomes

What expression is equivalent to 2 m plus m plus m

Answers

Answer: 2m+m+m is really the same thing as saying m+m+m+m, or 4m. Use whatever you like as the expression :)

Taylor has a set of 13 cards, labeled 1 through 13. If she chooses a card at random, what is the probability that the number on it is a prime number?

Answers

Answer:

B. 6/13

Step-by-step explanation:

No of sample space, n(s) = 13

Prime numbers

= ( 2 , 3 , 5 , 7 , 11, 13 )

No of favourable cases, n (e) = 6

Now

Probability that the number on it is a prime number is

P(E) = n(e) / n(s)

= 6/13

Hope it will help :)❤

Solve for x
3x +2 = 2x +7​

Answers

Answer:

x ≈ − 1.25593754, 1.70270637

Step-by-step explanation:

Graph each side of the equation. The solution is the x-value of the point of intersection.

A triangle has side lengths 8, 7, 4. In a similar triangle the smallest side is represented by x + 5 and the longest side is represented by x - 3. What is the value of x?

Answers

Answer:

x = 11

Step-by-step explanation:

8/4 = (x+5)/(x-3)

cross-multiply:

8(x-3) = 4(x+5)

8x - 24 = 4x + 20

4x  = 44

x = 11

Answer:

Step-by-step explanation:

X=11

The longest known is double than samallest known

2(x-3) = x+5

2x-6 = x+5

x= 11

                   11-3 = 8

                   11+5 = 16

Sides of the known triangle    8,7,4     (side 8 double than side 4)

Sides of the similar triangle       16,14,8   (side 16 double than side  8 )

Solve

FIND THE SIMPLE INTEREST WHEN PRINCIPAL= $300, rate = 8%
Time= 4 years





WILL GIVE BRAINLIST


X
X

X
X
X
X
X
X
X
X
X

Answers

Answer:

I = p× r× t

300×8×4

pinicipal × rate × time

That is the formula

the answer is 300×8×4= 9600

At the zoo, the length of each iguana is measured. Which statement is best supported by the information below?

A. Over half of the iguanas measure 14 centimeters or more in length.

B. 25% of the iguanas measure 12 centimeters in length.

C. The number of iguanas that measure 15 centimeters or more is equal to the number that measure 11 centimeters or less.

Answers

Answer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is

Answer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is 7.89 timesAnswer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is 7.89 timesAnswer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is 7.89 times

Shidd ion even know but can you like my comment?

In sixteen years Paul will be 48 years old.
How old is he now?

Answers

Answer:

32 years old

Step-by-step explanation:

48-16=32

Answer:

Paul is 32 years old

Step-by-step explanation:

48 - 16 = 32

Other Questions
When presenting evidence in a Small Claims Court, it is advisable to avoid using pictures or graphics. T OR F What is a pronoun ?? Amanda, Joe, and Ravi have a total of $129 in their wallets. joe has $9 less than Amanda. Ravi has 4 times what Amanda has. How much does each have? Use 4 terms of the series to approximate : One of the reasons to encourage more walking is to help reduce or prevent what health problem?1 obesity2 diabetes3 heart disease4 all of the above help pls! I will mark u brainliest if its correct. but pls dont put one of those links.. ty FASTEST CORRECT ANSWER WILL GET BRAINLIEST+54 pts!! In a three-paragraph response, describe how the view of the bubonic plague has changed over time. Then, explain why this view has changed. Guys, could you please help me wi this question?Which is NOT correct about China's relative location? It is south of Russia.It is north of India.It is east of the Pacific Ocean.It is east of the Atlantic Ocean. How did the research of Miller and Urey contribute to the hypotheses about the origins of life on Earth? What does the commander ask of Elena? One coin is flipped six times. What is the probability of flipping two heads and four tails? PLZ HELP! QUESTIONS ARE BELOW! :D HELPPP ASAP 10 POINTSS What was the goal of the Wilmot Proviso? Read this line from the text:Dogs also bring sweet, sweet bacteria into our homes. These bacteria help build our immune systems and make us healthier.Which of the following best explains the use of "sweet" to describe bacteria?A. The author really likes everything about dogs and thinks they are loving and kind.B. The author thinks bacteria is a good thing, but uses "sweet" to suggest it is extra special.C. The repetition of sweet suggests the opposite is true and the author dislikes bacteria.D. The use of "sweet" suggests the author thinks being healthy makes people kinder. pls help ! Please select the word from the list that best fits the definitionConnecticut Compromise, New Jersey Plan, Virginia Plana. State representation proposalsb. features of charter coloniesc.trade regulation proposalsd.Anti-Federalist objections to the Constitution Dorothea Dix was an educator who first saw the connection betweenBeing sent to prison and mental illnessBeing sent to prison and physical ailmentsThe need to educate inmates in prisonAll of the above Antidiuretic hormone binds to receptors on ________ cells in the collecting ducts and distal tubules where it ________.A) principal : causes vesicle with aquaporin-3 to insert into the apical membraneB) intercalated : causes vesicles with aquaporin-3 to insert into the apical membraneC) intercalated : causes vesicles with aquaporin-2 to insert into the basolateral membraneD) granular : causes vesicles with aquaporin-2 to insert into the apical membraneE) principal : causes insertion of aquaporin-2 into the apical membrane mr jones is painting a wall in his office. he has enough paint to cover 104 square feet . the wall he is painting is 12 feet wide and 9 feet long. Does he have enough paint to cover the wall !!TRUE OR FALSE!! WITH EXPLANATION 2. The Freedmen's Bureau, a federal agency created to help the transition fromslavery to emancipation, was widely accepted in the South for its attempts toprovide for the welfare of the newly emancipated.