The table shows the total distance of four trails. You want to complete a trail in 1 1/2 hours with an absolute deviation of at most 15 minutes. you hike at a rate of 3 miles per hour. CREATE AN ABSOLUTE VALUE INEQUALITY

Answer:

V(x) = -1600x + 21,000

x (number of years)

Step-by-step explanation:

"advised "

(a). if x = 4 (replace x with 4)

Using the formula above

V(4) = -1600(4) + 21,000

= -6400 + 21,000

= $14600

Value of the car after four years is $14600.

(b). if x = 8 (replace x with 8)

Using the formula

V(8) = -1600(8) + 21000

= -12800 + 21000

= $8200.

Value of the car after eight years is $8200.

(c). V(10) = 5000

This is the value of the car after 10 years

Check.

V(10) = -1600(10) + 21,000

= -16000+21,000

= $5000.

Value of the car after 10 years is $5000.

Hope this helps >>>>

The volume of concrete required for the first 12 steps is 132.6 cubic feet

Given data

the first step requires 1.7 cubic feet of concrete

the first 4 steps require a total of 17 cubic feet

the first term = a = 1.7

4th step =  n/2 ( 2a + ( n - 1 ) d )

d is common difference

n = number of terms

17 = 4/2 ( 2*1.7 + ( 4 - 1 ) d )

17 = 2( 3.4 + 3d )

8.5 = 3.4 + 3d

5.1 = 3d

3d = 5.1

d = 1.7

sum of AP at 12th step

12th = n/2 ( 2a + ( n - 1 ) d )

12th = 6( 2 * 1.7 + ( 12 - 1 ) * 1.7)

12th = 6 (3.4 + 11 * 1.7)

12th = 6 * 22.1

12th = 132.6 cubic feet

The volume of concrete required for the first 12 steps is 132.6 cubic feet

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The value of the frequency for grade C from given table of final grade is 8.

As given,

Given frequency table is:

Grade:                                   A                 B               C             D              F

Frequency:                            4                7                ?              3              2

Relative Frequency:  16.70%          29.20%      33.30%     12.50%     8.30%  

Cumulative Frequency:       4                  11             19           22            24

Given records: A, A, A, A, B, B, B, B, B, B, B, C, C, C,C, C, C, C, C,D,D,D, F,F

Here : frequency of grade C is 8 times

or Cumulative frequency (19-11=8).

Therefore, the value of the frequency for grade C from the given table of final grade is 8.

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The floor and ceiling functions of 71.999 returns ⌈x⌉ = 71 and ⌊x⌋ = 72.

By definition, the ceiling function returns the smallest nearest integer which is greater than or equal to the specified number whereas the floor function returns the largest nearest integer which is less than or equal to a specified value.

Thus, the Floor function ⌊x⌋ of 71.999 returns 71 which is less than 71.999. Meanwhile, the ceiling function  ⌈x⌉ of 71.999 returns 72 which is greater than 71.999.

Thus, we conclude that the floor and ceiling functions of 71.999 returns ⌈x⌉ = 71 and ⌊x⌋ = 72.

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The number of digits attached to the number is irrelevant as long as we considering the first non-identical integer. For example:

[tex]6.32215 > 6.32214 \\ since \: 5 > 4[/tex]

Additionally some numbers are written with two decimals only, implying that there an infinite amount of unnecessary zeros attached at the end. For example:

[tex]6.32 = 6.320000000000000000...[/tex]

Now a more clear approach would be to compare these two numbers after attaching these zeros.

[tex]6.3200000000... \\ 6.2350000000...[/tex]

Comparing the first three digits,

[tex]320 > 235 \\ 6.32 > 6.235[/tex]

Answer:  its  correct

Step-by-step explanation:

Answer:

i. 13/40

Step-by-step explanation:

i. [tex]5 \div 8 + 3 \div - 10[/tex]

Taking LCM of 8 & 10, we get 40

[tex]25 - 12 \div 40[/tex]

So, we get 13/40

Answer:

10362

I found it from somewhere

Answer: Maybe you have to divide $525 over 5 friends so you will get how much each one gets.

By subtracting the taxes from the gross pay we can see that Carlos' net pay is $1,500.30

We know that the gross pay is $1,800, now we need to subtract the social security and taxes.

First, there is a 6.2% and 19% in taxes, adding that we get:

6.2% + 9% = 15.2%

Then we need to subtract a 15.2% of the gross pay, this will give:

P = $1,800*(1 - 15.2%/100%) =  $1,800*(0.848) = $1,526.40

And now we also need to subtract the Medicare, which is $26.10, it gives:

$1,526.40 - $26.10 = $1,500.30

We conclude that Carlos' net pay is $1,500.30

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Step-by-step explanation:

x = number of km bus from A drives until they meet.

y = number of km bus from B drives until they meet.

x/80 is the time for the bus from A to reach the meeting point.

x/70 is the time for the bus from B to reach the meeting point.

both times must be equal, as they start at the same time.

so,

x/80 = y/70

but then we also know that together they have traveled the full 52 km to meet.

so,

x + y = 52

x = 52 - y

with that we go into the first equation :

(52 - y)/80 = y/70

(52 - y)/8 = y/7

7×(52 - y)/8 = y

7×(52 - y) = 8y

364 - 7y = 8y

364 = 15y

y = 364/15 km = 24.26666666... km

x = 52 - y = (780-364)/15 = 416/15 = 27.73333333... km

they will meet after (using bus from B)

364/15 / 70/1 = 364/1050 hours

= 182/525 hours =

= 60×182/525 = 10920/525 minutes =

= 728/35 = 104/5 = 20.8 minutes =

= 20 minutes 60×8/10 seconds =

= 20 minutes 48 seconds

control (using bus from A) :

416/15 / 80/1 = 416/1200 hours =

= 26/75 hours =

= 60×26/75 = 1560/75 minutes =

= 104/5 = 20.8 minutes

correct.

Answer:

No.

Step-by-step explanation:

Blue will be done cleaning the room at 6:00PM, while Red will be done by 4:00AM.

Answer: The answer would be 3x+4y=-17

Step-by-step explanation: The reason why that would be the answer is because when you substitute the coordinates into the equation you get -17 and their asking if it is parallel and they are!

Hope this helps :P

Answer:

468

Step-by-step explanation:

use the smallest digit in the hundreds place , that is 4

use the next smallest digit in the tens place, that is 6

use the next smallest digit in the units place, that is 8

smallest 3- digit number is 468

Answer: 468

Step-by-step explanation:

Numbers are= 9,6,4,8

Now, rearrange all numbers according to weight,

4<6<8<9

The smallest possible 3-digit number will be 468

Answer:

Step-by-step explanation:

Point slope form y-y₁ = m(x-x₁)

-5 - (-6) = m(9 - 1)

1 = m(8)

1/8 = m

y= 1/8x + b

-6 = 1/8(1) + b

b = -6.125

y = 1/8x -6.125

Answer:

1. 11,207.23

2. 11,285.58

3. 11,303.49

4. 11312.52

I don't know if the last one is correct

The rate of commission for a commission of $5040 on total sales of $180700 nearest to tenth percent will be 2.8 %.

What is commission rate ?

The commission rate is the percentage or fixed payment associated with a certain amount of sale.

It is given that , Myrtle Gould's total sales last month were of $180700. And the commission she got for the sales was $5040.

Here , the sale is above the criteria to get the commission which is $50000.

The rate of commission can be calculated as follows :

Rate of commission (R) = (5040 × 100)  / 180700

or

R = 504000 / 180700

or

R = 2.8 %

or

Rate of commission will be 2.8 %.

Therefore , the rate of commission nearest to tenth percent will be 2.8 %.

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The original garden was 6 feet long on each side. The original garden's footprint measured 36 feet.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.

Using the information provided,

(x-1)²=25

(x-1)=5

x=6

6x6=36 feet²

The original garden had six sides that were the same length.

The original garden covered 36 feet of space.

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Answer:

6 ft & 36ft

Step-by-step explanation:

Answer:

$191.69

Step-by-step explanation:

Answer: K=6 is correct

Step-by-step explanation:

If you substitute 6 for k and then multiply -7 the answer equals correctly!

Answer:

437 33473333336575848

Answer:

4x + 1.9 = 22.2

22.2 - 4x = 1.9

Answer choice:  C & E.

Step-by-step explanation:

Glad to help.

put the unknown price of the four tire patches as x,

and for all, it should add up to $22.20 and you're to subtract $1.90.

Answer:

45.83/100

Step-by-step explanation:

assuming all participate in a language

German=1/6

French=3/8

Italian=remaining percentage=a

1/6+3/8+a=1

8/48+18/48+a=1

a=48/48-26/48

a=45.83/100

What the given equation m = ((C + 200y) - 8000))/12y represents is as follows;

m is the amount of each monthly payment

C is the cost of the car

y is the length of loan in years

(C + 200y) - 8000) is the total amount she will repay

12y is the number of payments that she will make

We know that the formula to get the compound interest is;

A = P(1 + r/100)ⁿ

Where;

A is Amount.

P is Principal

r is Rate of interest

n is time in years

Now, when we compare that to our formula given as;

m = ((C + 200y) - 8000))/12y

we can say that;

m is the amount of each monthly payment

C is the cost of the car

y is the length of loan in years

(C + 200y) - 8000) is the total amount she will repay

12y is the number of payments that she will make

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Answer:

Step-by-step explanation:

First choice

to find x intercept, substitute y = 0.

where it cuts the y axis is -55

similarly, where it cuts the x-axis is 25

anser is x-int (-55,0) u - int (x,25)

The lifeguard walks around the perimeter which is 637.50 feet.

Perimeter is defined as the measure of sum all sides of a 2 dimensional figure. To calculate the perimeter we add all the individual sides of a polygon. The perimeter of a square is the sum of all four sides.

Since a triangle has three sides, the perimeter of a triangle is calculated by adding the sum of all the three sides of the triangle.

In the given figure we can see that the triangle is isosceles and the measure of the sides of the triangle are 216.75 feet , 216.75 feet and 204 feet.

Now the lifeguard walks around the perimeter of the triangular lazy-river ride.

Therefore perimeter = 216.75 +216.75 + 204 = 637.50 feet

Hence the lifeguard walks the perimeter which is  637.50 feet.

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Answer:

1.) ab × ac

a × (b + c)

2.) 6m + 8

2 (3m + 4)

3.) 27d²+8d³-15d4t

27d²+8d³- (15 × 4)dt

27d²+8d³- 60dt

4.) 27m²n³p5-20m5n²p

135m²n³p - 20m × 5n²p

135m²n³p - 100mn²p

Answer:

Step-by-step explanation:

|2x+4|=8

2x+4=8 and 2x+4=-8

x=2 and x=-6

Answer:

y=3m-3x

Step-by-step explanation:

[tex]m=x+\frac{y}{3} \\ \\ m-x=\frac{y}{3} \\ \\ y=3m-3x[/tex]