A car and a truck follow the same route on a pair of round-trip deliveries. The function c(x) = -72 ∣ x - 5 | + 360 represents the distance (in miles) of the car from the starting point after x hours. The truck’s distance from the starting point is shown in the graph

Which vehicle takes longer to complete the delivery? How much longer? Justify your answers.

Option (1) and (3) follows the divisibility rule.

          109

(1)   4 [tex]\sqrt{436}[/tex]

          -4    

            036

             - 36

                 0

As the remainder is zero , it is divisible .

(2)             21

        12[tex]\sqrt{263}[/tex]

            - 24  

                 23

                - 12

                   11

As the remainder is 11 , it is not divisible .

(3)             291

           8[tex]\sqrt{2328}[/tex]

             -16  

                72

              - 72    

                   08

                    - 8

                     0

As the remainder is 0 , it is divisible .

(4)           86    

        4[tex]\sqrt{346}[/tex]

            -32  

                26

               - 24

                   2

As the remainder is 2 , it is not divisible

(5)           1

        11[tex]\sqrt{114}[/tex]

            - 11  

                 4

As the remainder is 4 , it is not divisible

Learn more about divisbility rule here :

https://brainly.com/question/9462805

#SPJ9

Answer: k = 9

Step-by-step explanation:

(Add 6.8 to both sides.)

2.7(k-8)=-4.1+6.8

(Simplify  -4.1+6.8  to  2.7)

2.7(k-8)=2.7

(Divide both sides by 2.7)

k-8=1

(Add 88 to both sides.)

k=1+8

(Simplify  1+8 to  9)

k=9

Step-by-step explanation:

parallel: -2

y - 3 = -2(x + 2)

y - 3 = -2x - 4

y = -2x - 1

[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]

- - - - - - - - - - - - - - - - -

[tex]\textsf{Parallel lines have the same slope. Since the slope of the given line is -2,}\\\textsf{The slope of the line that is parallel to \textbf{y=-2x+3} is also -2.}[/tex]

[tex]\textsf{Next, we need to use the \textbf{Point-slope form} equation to find the}\\\textsf{ required equation of the line.}[/tex]

[tex]\textsf{Point-slope form:}[/tex]

[tex]\bold{\underline{Setting\:the\:values:}}[/tex]

[tex]\bold{\underline{Plugging\:in\:the\:values:}}[/tex]

[tex]\Large\overbrace{\underbrace{\bold{Reflection - RoSe}}}^\star_\star[/tex]

Based on the calculations, the length of the arc of this circle is equal to: C. 11.5 ft.

In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.

In Mathematics, if you want to calculate the length of an arc formed by a circle, you will divide the central angle that is subtended by the arc by 360 degrees and then multiply this fraction by the circumference of the circle.

Mathematically, the length of an arc formed by a circle is given by:

Arc length = 2πr × θ/360

Where:

Substituting the given parameters into the formula, we have;

Arc length = 2 × 3.142 × 11 × 60/360

Arc length = 11.520 ≈ 11.5 feet.

Read more on arc length here: brainly.com/question/28108430

#SPJ1

The statement that  explains who is correct is "Jay because each point is fraction 1 over 8 units from 0." Option A

This is further explained below.

Generally, Begin from zero and make your way to point P. To do this, we will simply shift our position leftward 1/8 of a unit. In a similar manner, in order to go from 0 to point Q, we will travel 1/8 of a unit.

Therefore, the distance from point P to zero is the same to the distance from point Q to zero.

Since this is the case, the absolute values are identical.

In conclusion, Jay is accurate since each point is 1/8 of a unit distant from 0; this distance may be calculated.

Read more about distance

https://brainly.com/question/13034462

#SPJ1

3 banana=(3÷4×#469.41)

Note:a pound is equal to 469.41 naira.

3=3×117.60

3=352.8

Then,352.8 ÷3

=117.6

The 36cm of specimen will contain an amount of 4.32 grams of blood.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that 10 cm of a normal specimen of human blood contains 1.2 g of hemoglobin. The amount of hemoglobin in 36 cm will be calculated as below:-

10 cm = 1.2g

1 cm = 1.2 / 10 = 0.12 g

36 cm = 36 x 0.12

36 cm = 4.32 grams

Therefore, the 36cm of specimen will contain an amount of 4.32 grams of blood.

To know more about an expression follow

https://brainly.com/question/9982821

#SPJ1

Answer:

290

Step-by-step explanation:

this is long division. (N.B: any number that you get after dividing it by nine, put it in the boxes at the top). Nine cannot go into 2 therefore you would go to the next number and you get 26 and then divide the 26 by 9. When you divide 26 by 9 your answer will be 2 but two multiplied by 9 is 18 and not 26, therefore you will minus the 18 from the 26 as it is shown above and your answer will be 8 so you should write 8 under the 8 that is under the 6 and carry down number 1. Then you will get 81 and you should then divide 81 by the 9. 9 into 81 goes 9 times therefore you next answer is nine. then you minus the answer you would get when you multiply 9 by 9 from 81 which would be equal to 0. 9 into 0 gives you 0 so the answer you would put in the last box is 0. therefore your final answer is 290.

Answer:

x=11

Step-by-step explanation:

(3x-1)+(6x-8)= 90

9x- 9= 90

+9 +9

9x=99

/9 /9

x=11

Step-by-step explanation:

What did the Rana rulers do to please the British rulers?

Answer:

If two sides of a triangle are congruent, then the angles opposite to these sides are congruent.

Step-by-step explanation:

Congruent/Congruency: having the same size and shape congruent triangles.

Theorem 1: If a line is drawn parallel to one side of a triangle to intersect the midpoints of the other two sides, then the two sides are divided in the same ratio.

I hope this helped, have a great day <3

Answer:  y= -3/2x+3

Step-by-step explanation:

See attached work

Answer:

I think its 48

Step-by-step explanation:

miltiplication/times tables

The transformation rule is; move the function f(x) by 4 units downwards and then by 2 units to the left.

Transformations simply takes the basic function and transforms it to another function.

The rules of transformation are;

The point on f(x) given has the coordinate (7, 5).

Now, we want to transform the point on f(x) to a point on g(x) with the coordinate (5, 1).

Thus, to get this, the transformation rule is;

(x, y) = (x - 2, y - 4)

Thus, this means move the function 4 units downwards and then by 2 units to the left.

Read more about Transformations at; https://brainly.com/question/4289712

#SPJ1

The number of reptiles will be 63.

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ratio of oranges to the total amount of fruit is 8:14 (or 4:7).

The numbers in a ratio may be quantities of any kind, such as counts of people or objects, or such as measurements of lengths, weights, time, etc. In most contexts, both numbers are restricted to be positive.

Let the number of mammals and reptiles be 3x and 7x

the store has total 90 animals

so total number of animals will be

90= 3x+7x

90= 10x

so x will be 9

number of mammals  will be 3×9= 18

number of reptiles will be 7×9= 63.

To know more about ratio

visit-:https://brainly.com/question/13419413

SPJ9

Tori's pay for the week will be $273.75 .

Tori's per hour earning = $12.50

Suppose Tori work 30 hours a week in her part time job.

Then, Total working hour in a week = 30 Hours

Total earning in a week = $12.50 × 30

                                     = $375

Tax deduction from Tori's paycheck = 27% of Total earning

                                                        = 27/100 × 375

                                                        = $101.25

Tori's pay for the week = Total earning - Tax deduction

                                   = $375 - $101.25

                                   = $ 273.75

Thus, Tori's pay for the week after deduction of taxes is $273.75.

To learn more about Tax Deduction visit : https://brainly.com/question/12102285

#SPJ9

The price of the honey per ounce will be $0.45 per ounce.

From the information given, at the supermarket you can fill your own honey bear container and a customer buys 12 oz of honey for $5.40

Therefore, the price per ounces will be:

= Total price / Number of ounces

= $5.40 / 12

= $0.45 per ounce

Therefore, the price of the honey per ounce will be $0.45 per ounce.

Learn more about prices on:

brainly.com/question/1153322

#SPJ1

The symbol for element of , is B. ∈.

The set operation involves different operation that is been used in solving problems related to set in , mathematics.

It involves the use of different symbol, such as symbol  ∪ which   is been employed to denote the union of two sets. , instance of this is when  set A ∪ B implies that  “A union B” and  the set that consists of all elements  that can be attributed to both A and B.

In conclusion, the symbol  ∈ implies that some element belongs to a particular set A , therefore option B is correct.

Learn more about set operation at:

https://brainly.com/question/2166579

#SPJ1

Answer: y=3x-9

Step-by-step explanation:

Based on the cost of membership per month and the number of movies rented, the charge for the month of May can be represented as 15 + 2n.

The movie rental club charges a flat $15 for membership per month.

The movies rented incur a charge of $2 per rental.

The total cost for May and any other month is:

= Membership fee + 2 x number of movies rented

Number of movies rented is n so the equation for the cost of May is:
= 15 + 2n

Find out more on representative expressions at https://brainly.com/question/17651563

#SPJ1

Answer: 15.77

Step-by-step explanation: We know that Milans car had 19.57 gallons of fuel, so I subtracted 19.57 - 3.8 to get my answer.

Answer:

ur question doesnt make sense

Step-by-step explanation:

Answer:  

12 24 3.5 1

Step-by-step explanation:

12

24

3.5

1

= 40.5 as your answer

Answer:

x=8

Step-by-step explanation:

8x-6=58

58+6

64 because u must get rid of numbers for x, but you get rid of numbers father then x

8x=64

64/8

x=8

hope this helps!

Answer:

x=8

Step-by-step explanation:

The value of T will be√74.1

The number line contain point T as shown in the figure. The number line has 7, 8, and 9 marked

There is line in the middle of point 8 and 9

Point T is located away from 8.5.

Since 8 is the square root of 64. And number 9 is the square root of 81. So the 64 and 81 are the perfect square number.

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 32 and can be written as 3 × 3.

Since 8.5 is not a perfect square number so it must be a square between the number 64-81.

Point T is located away from 8.5

So therefore the answer will be √74.1

To know more about number line

Visit-:https://brainly.com/question/13425491

SPJ9

Sana's boss owe her $36.60   wages more per week at a local store as a gross pay

Last week Sana worked 46 hours

So let us calculate her wages for the last week

For regular 40 hours she earns $11.15 per hour

Her earning for regulars 40 hours = 40× 11.15 = 446

Now we need to calculate her earning for overtime

She overworked for 46 hours less 40 hours= 6 hours

And for every overtime hour she gets one and a half times the original wages

Her overtime wages= 6 hours × $11.15 ×1.5times

                                   = 6 × 11.15 × 1.5

                                   =103.50

So her total earning of last week should be 446+ 103.50 which comes out to be $549.5

Sana is being paid only $512.90 which means Sana's boss owe her $36.60 more

To know more about wages -https://brainly.com/question/27115666

#SPJ9

Given that problem as follows:

Solve x,

         ⇒ −3(6−2x)≥4x+12

First we must simplify the inequality

Inequality means:

With inequalities, we use "less than or equal to": ≤ or "greater than or equal to": ≥ to include the endpoint of the interval.

Multiply the values, then

         ⇒ −18+6x≥4x+12

         ⇒ 6x-4x≥12+18

Subtract the 'x' values

We can write,

         ⇒ 2x≥12+18

Add the 12+18=30

We can write,

         ⇒ 2x≥30

         ⇒ x≥30/2

         ⇒ x≥15

From this, it can be seen that as long as x is equal or more than 15, then it will satisfy the equation.

In mathematical expression, that means [15, ∞). Thus, the answer is [15, ∞).

Therefore,

[15,∞) interval includes all possible values of x, where –3(6 – 2x)≥4x+12

So, the answer is [15,∞).

Learn more about event correlation here: brainly.com/question/27446114

#SPJ9

Answer:

40,40,20

Step-by-step explanation:

40+40+20=100

Answer:

20 + 40 + 40 = 100

50 * (40/20) = 100