Mathematics Middle School

an auto transport truck holds 12 cars. A car dealer plans to bring in 1006 new cars in June and July. if an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?

Answers

Answer 1

divide 1006 by 12

1006 / 12 = 83.833

so 83 full trucks

83 *12 = 996

1006-996 = 10 cars will be on the last truck

Answer 2
Final answer:

To transport 1006 cars, 84 full truckloads are needed, with 10 cars in the last truck.

Explanation:

To calculate the number of full truckloads needed, we divide the total number of cars (1006) by the number of cars a truck can hold (12).
1006 / 12 = 83.83...

Since we can't have a fraction of a truckload, we round up to the nearest whole number.
Therefore, we need 84 full truckloads.

To find the number of cars in the last truck, we subtract the number of cars in the full truckloads from the total number of cars.
1006 - (83 * 12) = 1006 - 996 = 10

So, the last truck will have 10 cars.

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Related Questions

Jeannine runs for 45 minutes every day for exercise. It takes her 8 minutes to run a mile, and she spends 5 minutes stretching halfway through the run. If x represents the number of miles she runs, then 8x + 5 ≤ 45 represents the time she runs each day. What is the fewest number of miles Jeannine must run to complete her daily exercise?

Answers

8x5<45 -5 -5 ------ 8x<40 ------- 8 8 x<5 So the fewest of miles she could run is 1, 2, 3, or 4 miles

A cleaner recommends mixing 1½ cup of cleaner for every 12 cups of water. What is the ratio of cleaner to water in simplest form?


1/8


2/3


1/2


7/8

Answers

1/8, because 3/2 divided by 12 is 1/8

we know that

To find the ratio of cleaner to water

Divide the total cups of cleaner by the total cups of water

In this problem we have

total cups of cleaner------> [tex]1\frac{1}{2}[/tex]

convert to an improper fraction

[tex]1\frac{1}{2}=\frac{1*2+1}{2}= \frac{3}{2}[/tex]

total cups of water------> [tex]12[/tex]

Find the ratio

[tex]\frac{(3/2)}{12}= \frac{3}{24}= \frac{1}{8}[/tex]

therefore

the answer is

[tex]\frac{1}{8}[/tex]


Fill in this equation with your own negative and positive numbers
Positive number + positive number - positive number + negative numbe r- negative number

=6___+___-___+___-___=6


Select any two non-equal negative integers at random and find their difference(always subtract the first number from the second number). Estimate the probability of getting a positive number as a result.

Answers

just put in everything as 6
Hope it helped!

How would a coupon change the unit rate/price per item?

Answers

It would decrease it as they usually have offers with coupons.

Help Please? GEOMETRY Use the word bank to help you with possible answers (there are extra options that are not to be used)


Word Bank:
definition of a midpoint
triangle RSX is congruent to triangle RXT
Definition of right angles
right angles are congruent
CPCTC
Reflexive property

Answers

Short Answers:

Answer for part A: Definition of perpendicular
Answer for part B: Right Angle Congruence Theorem
Answer for part C: Reflexive Property of Congruence
Answer for part D: Definition of Midpoint
Answer for part E: [tex]\triangle SXR \cong \triangle TXR[/tex]
Answer for part F: CPCTC

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

Explanations:

Part A:

We are given that [tex]\overline{RX} \perp \overline{ST}[/tex] which means, in english, "line segment RX is perpendicular to line segment ST"

By the very definition of perpendicular, this means that the two line segments form a right angle. This is visually shown as the red square angle marker for angle RXT. Angle RXS is also a right angle as well.

---------------------
Part B:

The Right Angle Congruence Theorem (aka Right Angle Theorem) is the idea that if we have two right angles, then we know that they are both 90 degrees so they must be congruent to one another. 

---------------------
Part C:

Any line segment is congruent to itself. This is because any line segment will have the same length as itself. It seems silly to even mention something so trivial but it helps establish what we need for the proof. 

---------------------
Part D:

We are given "X is the midpoint of segment ST" so by definition, X is in the very exact middle of ST. Midpoints cut segments exactly in half. SX is one half while TX is the other half. The two halves are congruent which is why SX = TX

---------------------
Part E:

Writing [tex]\triangle SXR \cong \triangle TXR[/tex] means "triangle SXR is congruent to triangle TXR". These two triangles are the smaller triangles that form when you draw in segment RX

Side Note: SAS stands for "side angle side". The angle must be between the two sides. The pairing RX and RX forms one of the 'S' letters (see part C), while the pairing SX and TX forms the other 'S' (see part D). The angles between the sides are RXS and RXT (see part B). 

---------------------
Part F:

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"

It means that if we have two congruent triangles, then the corresponding parts are congruent. Back in part E, we proved the triangles congruent. For this part, we look at the pieces RS and RT (which correspond to one another; they are the hypotenuse of each triangle). They are proven congruent by CPCTC

If CPCTC is an odd concept to think about, then try thinking about something like this: you have two houses which are completely identical in every way. We can say that those two houses are congruent. If the houses are identical, then surely every piece that makes up the house is identical to its corresponding piece to the other house. For example, the front door to each house is both the same size, shape, color, made of the same material, designed in the same pattern, etc. So the two doors are congruent as well.

Sue scored a total of 35 points in two games. She scored 6 times as many points in the second game as in the first. How many more points did she score in the second game?

Answers

It will be 36×6 because you have to times
It will be 3*6 hope it helps

Evaluate 46 – 3v for v = 5.

Answers

31. Plug in 5 for v and multiply that by 3, then subtract
the answer for this question is 320

suppose the probability is 0.25 that any given person will believe a rumor about the private life of a certain politician. What is the probability that the fifth person to hear the rumor will be the first one to believe it?

Answers

0.25*0.25*0.25*0.25*0.25=1/1024

Find 350% of 49 thank you

Answers

The word "of" when under in a word problem usually means "multiplied by."
Therefore we can change the word problem to an expression:

[tex] 350\ percent * 49 [/tex]
"percent" literally means "per hundred," so change the expression again:

[tex] 350\ percent * 49\\\\350/100 * 49\\\\3.5 * 49\\\\3*49+49/2\\\\147+24.5\\\\\\171.5[/tex]


Consider the graph of the linear function h(x) = –2/3x + 5. Which could you change to move the graph down 3 units?


the value of b to –3

the value of m to –3

the value of b to 2

the value of m to 2

Answers

Since the graph went down two units...

The value of b to 2 because you start with 5 as your y-intercept

How do I solve: 3w/x=6e

Answers

The answer is ×=w/2e.thats it

write the number that has zero in the tens place.draw a quick for your number

Answers

A number with a zero in the tens place would have to be a three digit number. For example: 203, 304, 506, etc.

simplify this expression 6-3c-c+4

Answers

-4c+10 I hope this helps

Chang made $247 for 13 hours of work at the same rate,how many hours would he have to work to make $323?

Answers

247 / 13 = 323 / x....247 to 13 hrs = 323 to x hrs
cross multiply
(247)(x) = (323)(13)
247x = 4199
x = 4199 / 247
x = 17 hrs <===
247 / 13 = 19

He makes $19 an hour.

323 / 19 = 17

He will need to work 17 hours to earn $323.

Hope this helps!

Solve the compound inequality 6x-4 <-34 or 3x +10>10

Answers

6x-4<-34
6x>-30
x>-5

3x+10>10
3x>0
x>o
6x-4 < - 34
6x  > -34 + 4
6x > -30
x > -5

3x + 10 > 10
3x > 10 - 10
3x > 0
x > 0

48 divided by 2 times 0.9+0.3

Answers

The answer will be 2.88 hope this helps
48 ÷ 2 = 24
0.9 + 0.3 = 1.2
24 x 1.2 = 28.8

hope this helps.

someone please help me

Answers

In order to prove these triangles congruent by SAS, AB and DE must be congruent. Thus, C is your answer.

Have an awesome day! :)


[tex](1 + 0.12 \div 12) { 12 \times 1 \div 2} - 1 \div 0.12 \div 12 = [/tex]

Answers

The answer is:
________________________________________________________ 
" [tex]\frac{4829}{900} [/tex] ";  or, "5[tex] \frac{329}{900} [/tex]" ;
                                   or, write as:  "5.366" .
________________________________________________________
Explanation:
__________________________________
Given:  " (1 + 0.12 ÷ 12)12 * 1 ÷ 2− 1 ÷ 0.12 ÷ 12 = ? " ;
___________________________________________

First, start with the "parentheses" ;
______________________________
  "(1 + 0.12 ÷ 12) = ??

Start with the division:  " 0.12 ÷ 12 = 0.01 " .

  "(1 + 0.01)" = (1.01) .

We have:  "1.01 (12) 
Given:  " (1.01)12 * 1 ÷ 2 − 1 ÷ 0.12 ÷ 12 = ? " ;

So, 1.01 * 12 = 12 .12 .
______________________
    " 12.12 * 1 ÷  2 − 1 ÷ 0.12 ÷ 12 = ? " ;

Note:  Using order of operations, treat this problem as:

     " [ (12.12 * 1) ÷  2 ]  −  [ (1 ÷ 0.12) ÷ 12 ] = ? " ;
 
→    ( 12.12 ÷ 2 )  −  (25/3) ÷ 12 ] = ? " ;

→    ( 6.06)  −  { (25/3) * 1/12) }  = ?

→    ( 6.06)  −  { ( 25* 1) / (3*12)  = ?
 
→    ( 6.06)  −  { ( 25* 1) / (3*12)  = ?  

→    ( 6.06)  −  (25/36) ;

→     6 [tex] \frac{6}{100} [/tex]  −  [tex] \frac{25}{36} [/tex]  ;

→  6 [tex] \frac{3}{50} [/tex]   −  [tex] \frac{25}{36} [/tex]  ;

Rewrite " 6 [tex] \frac{3}{50} [/tex] " ; as an improper fraction:  

 →   " 6 [tex] \frac{3}{50}[/tex] "  = "[ (50*6) + 3 ] / 50 = [tex] \frac{303}{50} [/tex] ;
__________________________________________
→  6 [tex] \frac{3}{50} [/tex]   −  [tex] \frac{25}{36} [/tex]  ;

  =  [tex] \frac{303}{50} [/tex]  −  [tex] \frac{25}{36} [/tex] ; 

  = [tex] \frac{(303*36)-(25*50)}{50*36} = \frac{10,908-1250}{1800}[/tex] ;

  =  [tex] \frac{9658}{1800}[/tex] ;  
_________________________________
→ Divide EACH SIDE of the "fraction" by "2" ; to simplify:
____________________________________________________
→   [tex] \frac{9658/2}{1800/2}[/tex] ;
=[tex]\frac{4829}{900} [/tex]  = 5[tex]\frac{329}{900} [/tex] ; or, write as:
                                               
                                       (5 + (329 ÷ 900)   =   →  5.3655555555555556 .
                                                                     → round to:  5.366 .
________________________________________________________

This question doesnt make sense, can you help me?

Answers

Greetings!

[tex]- \frac{1}{3}k=9[/tex]
Divide both sides by -1/3.
[tex](- \frac{1}{3}k)/- \frac{1}{3}=9/- \frac{1}{3}[/tex]
[tex]k=9/1*- \frac{3}{1}[/tex]
The Answer Is:
[tex]k=-\frac{27}{1}[/tex]
or...
[tex]k=-27[/tex]

Hope this helps.
-Benjamin

how do you work ratio tables in 7th grade

Answers

Ratio tables are like proportional relationships (if you know what that is), and you have to do this:
6:9 is related to a:45 we don't know a, but since the prior ratio is related to this one, you simply take 9 times what is 45. The answer is 5, so then you multiply 6 times 5 to get 30. Then keep building off of that. The next problem will be 48, then 72.
The bottom ratios start with 10:15. 15 times 3 is 45 so 10 times 3 is 30. The next one is 100, then 70. Hope this helps, sorry that it's confusing!

On Tuesday , a local hamburger shop sold a combined total of 423 hamburgers and cheeseburgers . The number of a cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday ?

Answers

141 hamburgers were sold on Tuesday. 

Answer:

Step-by-step explanation:  A total of 517 tickets were sold for the school

play. They were either adult tickets or students' tickets There were 67 students' tickets    than adult tickets. How many adult tickets were sold?

the hallway id 440 inches long. 2.5 feet of the hallways length is not carpeted. What is the length, in inches, of the hall that is carpeted

Answers

2.5 feet = 30 inches.

Let L = length not carpeted

L = 400/30

L = 13.3333333333

L = 13.33 inches
Final answer:

To find the carpeted part of the hallway, convert the length of the uncarpeted part from feet to inches by multiplying it by 12. Then subtract this length from the total length of the hall in inches. Hence, the carpeted part of the hallway is 410 inches long.

Explanation:

The subject of the problem is mathematics and it is about converting feet to inches to solve a subtraction problem. There are 12 inches in a foot. So, the uncarpeted part of the hallway, which is 2.5 feet, is 2.5 * 12 = 30 inches.

Now, we subtract the uncarpeted length from the total length of the hallway to find the carpeted length. The hallway is 440 inches long and if we subtract the 30 inches (uncarpeted part) from it, we will find the length of the carpeted part.

So, 440 inches - 30 inches = 410 inches. Hence, the carpeted part of the hallway is 410 inches long.

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Imamu pays $30 each month for his gym membership. What is the change in the amount of money in his account after 2/3 of a year

Answers

The answer is $240 because 2/3 in a years have 8 month so just multiply 3*8  which give you 24 and just add a zero.

Your answer is: $240.


Thank you 

                                                                   Have a great day :).

PLEASE HELP ME FIND THE PROPORTIONAL RELATIONSHIP AND EXPLAIN IT AND HOW YOU KNOW PLEASEEEE

Answers

The three pieces of data are given.
1/4 miles in 2/3 min
1/8 mile in 1/3 min
3/8 mile in 1 min

Each of them can be though of as a division or a fraction.
If you multiply the numerator and denominator of a fraction, you get an equivalent fraction.

Start with 1/4 mile in 2/3 min.
Divide both the distance and time by 2.
You get 1/8 mile in 1/3 min. This is the second piece of data, so the first and second pieces of data are proportional.

Now start with the second piece of data:
1/8 mile in 1/3 min, and multiply both by 3.
You get 3/8 mile in 1 minute. This is the third piece of data.

That means all pieces of data are proportional.

Julio's father is 4 times as old as Julio. The sum of their ages is no less than 55. What is the youngest age Julio can be?

Answers

Hello, Julio can be no younger then 11. Hoped I helped! 

Answer:

11 years

Step-by-step explanation:

Let the age of Julio is x.

Age of Julio's father = 4 x

According to the question, the sum of their ages is not less than 55.

x + 4x > 55

5 x > 55

x > 11

Thus, the youngest age of Julio is 11 years.

if 6 bottles of perfect water weigh a total of 4 kilograms (kg), what is the weight of 9 bottles?

Answers

6/4 = 9/x....6 bottles to 4 kg = 9 bottles to x kg
cross multiply
(6)(x) = (9)(4)
6x = 36
x = 36/6
x = 6 kg <===
Hi. To complete this problem you simply need to multiply: 

9/6 x 4 = 6kg

I hope this helps. If you have any questions, please don't hesitate to ask.

Take care,
Diana

Divide. −24/7 please help

Answers

-24/7 = -3.42857

positive divided by positive = positive

negative divided by negative = positive

positive divided by negative = negative

negative divided by positive = negative

hope this helps

To divide -24 by 7, divide 24 by 7 to get 3.4286 and then apply the sign, resulting in -3.4286 as the answer.

The student's question involves the arithmetic operation known as division. To divide
-24 by 7, you would perform the division as you would with positive numbers, then apply the sign of the numbers. Since one number is negative and the other is positive, the result will be negative. Performing the division: 24 divided by 7 equals approximately 3.4286. Since
24 is negative, the result is -3.4286. When dividing by a single digit, you don't necessarily need to apply long division; instead, you can estimate how many times 7 fits into 24.
Remember that division by powers of 10 involves moving the decimal point. However, that's not applicable here since 7 is not a power of 10.

A truck driver drove 120 miles in 1 3/4 hours. What is the speed of the truck in miles per hour?

Answers

120/7/4
120/1*4/7=480/7= 68 and 4/7
The formula for speed is:

[tex]speed = \frac{distance}{time} [/tex]

Plugging this in:

[tex]speed = \frac{120}{ \frac{7}{4} } [/tex]

Solving:

[tex]speed = 68.57[/tex]

Hope this helps!

there are 156 students in 6 different classrooms. What is the ratio of students that classrooms? If there are 80 boys what is the ratio of boys to girls?

Answers

156-80=numb of girls 
numb of girls: 76

Ratio of boys to girls=80:76
=20:19

Ratio of students in classrooms= 156:6
=26:1

(assuming that each classroom has the same number of students)

The easiest way to find out ratios is to divide the total (in this case, students) by the divider (in this case, the classrooms). 

156 ÷ 6 = 26

The ratio of students to classrooms is 26 students per classroom, or 26 : 1.

In this case, you need to figure out how many girls there are first. 

156 - 80 = 76

Because you don't want to end up with a decimal, you need to find the GCF.

The factors of 76 are: 1, 2, 4, 19, 38, 76
The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Your GCF is 4, which is number you divide your total number of boys and total number of girls by.

80 ÷ 4 = 20
76 ÷ 4 = 19

The simplest ratio of boys to girl is 20 boys for every 19 girls, or 20 : 19

is 1.875 rational or irrational? Explain


Identify the number as rational or irrational square root of 112

Answers

It has to be irrational. the square root of 112 is 10.58, which is irrational.
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