Please help!Sarai uses 4 cm3 of face wash each night. The cylindrical container of face wash is 10 cm tall and has a diameter of 5 cm. The container is half empty.How many more days will the face wash last her? Use 3.14 to approximate pi, and round your answer to the nearest whole number.

A.196 days

B. 98 days

C. 49 days

D. 25 days

Answers

Answer 1

Answer: first you need to find how much is left in the container by finding the whole volume.
cylinder volume= πr²h where r is the radius and h is hight
V= (3.14)*(5²)*(10)
V=(31.4)(25)
V=785cm³ is the total volume
now half has been used so divide that number in half
785/2= 392.5cm³
now she uses 4cm³ a day so divide
392.5/4= 98.125
round to the nearest whole number
answer is B 98

Answer 2

Answer:

Well I took the test and used the 98 days answer but it was wrong its actually 25 days

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Please help me answer this ASAP! The two-way table shows the number of ninth and tenth graders who prefer going to sporting events or going to the movies.Among tenth graders, what is the relative frequency of preferring sporting events? Express your answer as a decimal, and round to the nearest hundredth if necessary

Round to the nearest whole number 8.36

Answers

we know that

To Round a number

a) Decide which is the last digit to keep

b) Leave it the same if the next digit is less than $5$ (this is called rounding down)

c) But increase it by $1$ if the next digit is $5$ or more (this is called rounding up)

In this problem we have

$8.36$

We want to keep the digit $8$

The next digit is $3$ which is less than $5$ , so no change is needed to $8$

therefore

the answer is

$8$

The answer is 8, because 3 is less than 5 and we are rounding it to the nearest whole number.

Is 4/9 greater than 1/3

Answers

1. $(1)/(3) = (1 * 3)/(3 * 3) = (3)/(9)$
2. $(3)/(9) < (4)/(9)$
So, the answer is yes.

Yes
4/9= 0.4444444444444444444444444444444444444444444444444444444444444
1/3= 0.3333333333333333333333333333333333333333333333333333333333333

When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11. Check the students work, and use the check to find the error in the solution

Answers

There is an error in the student's work, the remainder should be 10

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are $\large{\boxed{:}}}$ or $\large{\boxed{\slash}}$

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

$\large{\boxed{\bold{divident:divisor=quotient+remainder}}$

example:

7: 3 = 2 + 1

7 = dividend
3 = divisor
2 = quotient
1 = remainder

Division operation statement:

"7 divided by 3 equals 2 remainder 1"

The form of division can also be expressed in terms of fractions

In the example above, the form of mixed fractions :

$\displaystyle (7)/(3) =2(1)/(3)$

Mixed fractions consist of whole number and proper fractions

From the task

(see also the attached image)

When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11.

Division operation statement:

"878 divided by 31 equals 28 remainder 11

Arithmetic operations :

878 : 31 = 28 + 11

878 = dividend
31 = divisor
28 = quotient
11 = remainder

Because Division is the opposite of multiplying, so we check the solution with multiplying

divident - (divisor x quotient) = remainder

878 - (31 x 28) = 11

878 - 868 = 11

10 ≠ 11

So students make mistakes in subtraction operations,remainder should be 10

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Keywords: division, mixed fraction, dividend , divisor , quotient, remainder

878/3 is 28 with a remainder of 10! The error is when they subtracted 258-248 wrong

Multiply the following using the vertical multiplication method:3x^2+5x+1
* x^2-2x+4
_________

A. 3x^4-x^3+3x^2+x+4

B. 3x^4+5x^3+10x^2+18x+4

C. 3x^4-x^3+3x^2+18x+4

D. 3x^4+x^3+x^2+x+4

Answers

ANSWER

$3 {x}^(4) - {x}^(3) + 3{x}^(2) + 18x + 4$

EXPLANATION

We want to multiply;

$(3 {x}^(2) + 5x + 1)( {x}^(2) - 2x + 4)$

We use the distributive property to obtain:

$3 {x}^(2) ( {x}^(2) - 2x + 4) + 5x( {x}^(2) - 2x + 4) + 1( {x}^(2) - 2x + 4)$

We expand to get:

$3 {x}^(4) - 6 {x}^(3) + 12 {x}^(2) + 5 {x}^(3) - 10 {x}^(2) + 20x + {x}^(2) - 2x + 4$

Regroup similar terms:

$3 {x}^(4) - 6 {x}^(3) + 5 {x}^(3) + 12 {x}^(2) - 10 {x}^(2) + {x}^(2) + 20x - 2x + 4$

Combine similar terms:

$3 {x}^(4) - {x}^(3) + 3{x}^(2) + 18x + 4$

The correct choice is C.

Final answer:

To multiply polynomials using the vertical multiplication method, multiply each term of one polynomial by each term of the other polynomial and then combine like terms.

Explanation:

To multiply the polynomials using the vertical multiplication method, we need to multiply each term of one polynomial by each term of the other polynomial and then combine like terms. Here are the steps:

Multiply the first term of the first polynomial by each term of the second polynomial.
Multiply the second term of the first polynomial by each term of the second polynomial.
Multiply the third term of the first polynomial by each term of the second polynomial.
Add up all the products to get the final result.

Applying these steps, the correct answer to the given multiplication is