MATHEMATICS HIGH SCHOOL

A full-length mirror cost $144.99 when the CPI was 163. What will a full-length mirror cost when the CPI is 211, to the nearest cent?a) $305.93
b) $214.59
c) $187.68
d) $88.95

If it's not too much to ask, could you thoroughly explain it with exact steps so I can do it myself. Thank you plenty.

Answers

Answer 1

Answer: 163 cost $144.99
211 cost ????

211 * 144.99 / 163
= 30,592.89/163
=187.68

Answer is c) $187.68

Answer 2

Answer:

Answer:

$187.68

Step-by-step explanation:

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Slope-intercept from two points (1,4) and (2,2)
What is the 9th term in the addition pattern with formula 7n – 3? A.13 B.42 C.60 D.76
On a certain day, the company took 92 people on whale watching trips. There were 40 children aged 12 and under, of which some children were under three years. If x represents the number of children under three years, which equation can be used to find the value of x, where C represents the total amount of money collected from tickets that day? (92 − x)36 + (92 − 40) ⋅ 48 = C (40 + x)36 + (92 − (40 + x)) ⋅ 48 = C (92 + x)36 + (92 − (40 + x)) ⋅ 48 = C (40 − x)36 + (92 − 40) ⋅ 48 = C
A line contains the point (0, –2). If the slope of the line is m= - 6 write the equation of the line using slope-intercept form.
3/12 and 5/x are equivalent ratios. Solve for x

A bus travels through the city and stops every mile. The first stop on the route is the 8th Avenue Coffee Shop, which is located 15 blocks east and 22 blocks north of the central station. The last stop on the route is the airport, which is located 25 blocks west and 36 blocks south of the central station. A student calculated the middle stop along the bus route to be located 20 blocks east and 29 blocks north of the central station. Evaluate the student’s answer.

Answers

Answer:Student calculation is incorrect

Step-by-step explanation :

Given the First stop is the 8th Avenue Coffee Shop, which is located 15 Blocks east and 22 blocks north of the central station

and the last stop on the route is 25 blocks west and 36 blocks south of the central station .

Lets take the First stop co-ordinates be (15,22)

and last stop co-ordinates (-25,-30)

So there mid-point is $x=(x_1+x_2)/(2)$

$y=(y_1+y_2)/(2)$

$x=(15-25)/(2)=-5$

$y=(22-30)/(2)=-4$

Therefore middle stop is 5 blocks west and 4 blocks South

Thus calculated the middle stop incorrectly.

The student apparently added numbers without taking into account direction. They seem to have added 15 and 25 and divided by 2 to get the horizontal component of the middle stop when they should have added 15 and -25 and divided by 2. A similar mistake was made on determining the vertical component. The middle stop should have been calculated as 5 blocks west and 7 blocks south of the central station. So your answer is C.

What is the new credit card balance if the unpaid balnce is $1,000 at 1.3% monthly interest?

Answers

1.3% is 0.013 in decimal form
1000×(1+0.013)= $1013

A ski club charges nonmembers $48 per session plus ski rental fee of $24 per session. A memeber pays a monthley fee of $384 plus a ski rental fee of $8 per session. how many sessions would both a memeber and nonmember have to ski in order to pay the same amount?

Answers

Answer:

Step-by-step explanation:

Let x be the number of sessions required.

We have (48 + 24)x = 384 + 8x.

=> 72x = 384 + 8x

=> 64x = 384

=> x = 6.

Let f(x) = 8x3 − 22x2 − 4 and g(x) = 4x − 3. Find f of x over g of x . 2x2 − 4x − 3 − (13/4x-3)
2x2 − (4x − 3/13)
2x2 − 7x − 1
2x2 − 7x − 5 +(x-4/4x-3)

Answers

Answer:

Option 1 - $(2x^2-4x-3)(-13)/((4x-3))$

Step-by-step explanation:

Given : $f(x)=8x^3-22x^2-4$ and $g(x)=4x-3$

To find : f of x over g of x.

Solution :

$f(x)=8x^3-22x^2-4$ and $g(x)=4x-3$

f of x over g of x is $(f(x))/(g(x))$

Substitute the value in the formula,

$(f(x))/(g(x))=(8x^3-22x^2-4)/(4x-3)$

Now, We have to divide the numerator by denominator with the help of calculator.

Refer the attached figure below.

Here, Dividend is $f(x)=8x^3-22x^2-4$

Divisor is $g(x)=4x-3$

We get, Quotient is $2x^2-4x-3$

and Remainder is -13.

The form is $\text{Dividend}=\text{Quotient}* \text{Divisor}+\text{Remainder}$

i.e. $(8x^3-22x^2-4)=(2x^2-4x-3)*(4x-3)+(-13)$

or in mixed fraction it is written as $(2x^2-4x-3)(-13)/((4x-3))$

Therefore, Option 1 is correct.

I hope this helps you

Expanded form of 38 million hundred thousand and eight

Answers

the answer is 38,100,008 :)

Final answer:

The expanded form of the number '38 million hundred thousand and eight' is possibly '38,100,008'. However, without specifying how many 'hundred thousands', the question is ambiguous.

Explanation:

The expanded form of the number '38 million hundred thousand and eight' may seem confusing at first, but it helps to break it down. The number '38 million' is simply 38,000,000. By saying 'hundred thousand', one is indicating a value of 100,000. But, the question doesn't clarify how many 'hundred thousands' are being referred to. If it was one, the number would be 38,100,000.

The 'and eight' at the end simply adds 8 to the end of our number, making the final number 38,100,008 if there were a single 'hundred thousand'. However, without specifying how many hundred thousands, the question is ambiguous.