What is 1/7 x 3/4 in simplest form

Answer:

473

Step-by-step explanation:

1:1

473:x

Cross Multiply

1x=473

Divide both sides by 1

x=473

Answer:

The answer is 3.

Step-by-step explanation:

The equation would be: x = 14.95 divided by 4.99, rounded to the nearest one:

14.95 divided by 4.99 = 2.99599...

Normally, I would not round the number to the nearest digit in problems like these, but 2.99599 is quite close to 3, so this might be an exception.

Anyways, that's how I got my answer.

Hope this helped.

The thing that she can do to increase the savings is A. Deposit money into her savings account each month.

Your information is incomplete and the complete question is written below. Savings accounts offer interest based on the balance. Therefore, you can boost the interest you receive on a savings account by making a deposit each month. By doing so, you will increase the account's total balance and, consequently, the interest rate.

The alternate selections are incorrect since doing so will result in a decrease in the amount of money in the savings account and a reduced rate of interest. Instead, use the money to open a checking account.

Note that the complete question is attached.

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Your sister is looking for a way to increase the amount of interest she is earning on her savings account. What should she do?

A. Deposit money into her savings account each month

B. Use the money from her savings account to open a checking account instead

C. Switch to a savings account with a lower interest rate

D. Make monthly withdrawals from her savings account

Answer:

20 feet

Step-by-step explanation:

Answer:

x=1.25 y=1.75

Step-by-step explanation:

8/10=5/5+x

50=8(5+x)

50=40+8x

50-40=8x

10=8x

x=10/8

x=1.25

while Y=8/10=7/7+y

70=8(7+y)

70=56+8y

70-56=8y

14=8y

y=14/8

y=1.75

The essays that she can review in 1 hour would be; 2 2/3.

A fraction represents a part of a number or any number of equal parts.

We are given that English teacher reviewed 2 /3 of an essay in 1/ 4 of an hour.

Thus, Fraction of the essay reviewed = 2/3

Amount of time used = 1/4

Therefore, the fraction of essay for an hour can be calculated as;

= Fraction of the essay reviewed / Amount of time used

= 2/3 ÷ 1/4

= 2/3 × 4

= 8/3

= 2 2/3

Hence, She will review 2 2/3 essay.

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The quotient of a number x and two tenths is 5x

Quotient is defined as the quantity derived from the division of two numbers.

From the information given, we are to find the the quotient of;

The quotient is written thus;

= x/ 2/ 10

Take the inverse of the denominator and multiply

= x × 10/ 2

= 10x/ 2

find common divisor

= 5x

Thus, the quotient of a number x and two tenths is 5x

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\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)

89,170,326

millions is the place value of 9

hope that helps :)

The expression factoring out the greatest common factor is  (3pf - 21p²)(f + 2).

We have the expression as

3pf² - 21p²f + 6pf - 42p²

Now, factorising the expression as

= 3pf² + 6pf - 21p²f - 42p²

= 3pf(f +2) - 21p²(f + 2)

= (3pf - 21p²)(f +2)

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Answer:

Step-by-step explanation:

The given expression expression can be simplified to ...

  3log(10) -2log(5) = log(10^3) -log(5^2) = log(1000) -log(25)

  = log(1000/25) = log(40) . . . . ≠ log(5)

  ≈ 1.60206

Or, it can be evaluated directly:

  = 3(1) -2(0.69897) = 3 -1.39794

  = 1.60206

__

The properties of logarithms apply to logarithms of any base. Natural logs and common logs are related by the change of base formula ...

  ln(x) = log(x)/log(e) ≈ 2.302585·log(x)

__

The given "property" is nonsense. There is no simplification for the product of logs of the same base. There is no expansion for the log of a sum. The formula for the log of a power does apply:

  \(\log(a)\log(b)=\log(a^{\log(b)})=\log(b^{\log(a)})\)

Numerical evaluation of Mr. Kim's expression would prove him wrong.

  log(3)log(4) = (0.47712)(0.60206) = 0.28726

  log(7) = 0.84510

  0.28726 ≠ 0.84510

  log(3)log(4) ≠ log(7)

Answer:

The percentage of 513000 by 488800 is 2507544000

Answer:

513000  is what percent of 488800 = 104.95%

488800 is what percent of 513000 = 95.28%

Step-by-step explanation:

I didn't understand your wording so here is the percentage both ways

Answer:

Root of 65

Step-by-step explanation:

8^2 is equal to 64, so the sqrt of 64 would equal 8 exactly. The question is asking for which of the sqrts would be closest to 8, so sqrt of 65 is the number that is closest to 64, so it is the answer.

Answer:

\( \sqrt{65} \)

as

\( \sqrt{64} = 8\)

so it's the closest value to 8

and also

\( \sqrt{65} = 8.06\)

via calculator

Answer:

One diagonal is 16 and another 12 then half of both is 8and6.diagonal of rhombus bisect at 90'

8²+6²=h²

64+36=100

Side = 10

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

The sides are in proportion.

The proportion is 20/36

The other sides must be in the same proportion: 5x / 45

5x/45 = 20/36        You can reduce the left side by dividing top and bottom by 5

1x / 9 = 20/36          You can reduce the right side by dividing by 4

x / 9 = 5/9                at this point you should be able to see that x = 5, because the denominators are the same.

That is the answer.

However you can extend this by cross multiplying

9x = 45                      Divide by 9

x = 45/9

x = 5

Answer:

ok juat give me time to figure out the answer

Step-by-step explanation:

Answer:

A. 10 HOPE IT WILL HELP YOU

Answer:

World's Fair. Is the correct answer

Answer:

2 1/4

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

Answer:

32000 grams

Step-by-step explanation:

The weight of a 32 kg child in pounds is 70.56 pounds.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

The weight of baby = 32 kg

Now,

Since, 1 kg = 2.205 pounds

So, We convert the weight of baby from kg to pounds as;

1 kg = 2.205 pounds

32 kg = 32 x 2.205 pounds

         = 70.56 pounds.

Thus, The weight of a 32 kg child in pounds is 70.56 pounds.

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\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{30}\\ a=\stackrel{adjacent}{MN}\\ o=\stackrel{opposite}{18} \end{cases} \\\\\\ MN=\sqrt{ 30^2 - 18^2} \implies MN=\sqrt{ 576 }\implies MN=24 \\\\[-0.35em] ~\dotfill\\\\ \cos(M )=\cfrac{\stackrel{adjacent}{24}}{\underset{hypotenuse}{30}} \implies \cos(M)=\cfrac{4}{5}\)

The expression that has a value of 26 when a=4 and b=5 is option B: a \((√16+ b) - 10.\)

Let's substitute a=4 and b=5 in each expression and see which one has a value of 26:

An expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. Expressions can also include exponents, roots, and other mathematical symbols. The value of an expression can vary depending on the specific values of the variables used in the expression.

A) \(a√16+b-10 = 4√16 + 5 - 10 = 4x4 + 5 - 10 = 9\)(not equal to 26)

B)\(a (√16+ b) - 10 = 4(√16 + 5) - 10 = 4(4 + 5) - 10 = 26\) (equal to 26)

C) \(a√16+ (b-10) = 4√16 + (5-10) = 4x4 - 5 = 11\) (not equal to 26)

D)\((a√16) + b-10 = (4√16) + 5 - 10 = 4x4 + 5 - 10 = 9\)(not equal to 26)

Therefore, the expression that has a value of 26 when a=4 and b=5 is option B: \(a (√16+ b) - 10.\)

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Answer:

5

Step-by-step explanation:

-2 and 12 are 14 whole numbers apart.

14/2 = 7

12 - 7 = 5

This isn't the most technical way to do this problem, but its easy and correct.

Answer:

The number of defective bulbs in the shipment should be around 15, give or take 4.

Step-by-step explanation:

For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

Suppose the probability at a light bulb factory of a bulb being defective is 0.11

This means that \(p = 0.11\)

Shipment of 133 bulbs:

This means that \(n = 133\)

Mean and standard deviation:

\(E(X) = np = 133*0.11 = 14.63\)

\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{133*0.11*0.89} = 3.61\)

Rounding to the nearest integers:

The number of defective bulbs in the shipment should be around 15, give or take 4.