A toll collector on a highway receives $8 for cars and $9 for buses. At the end of a 4-hour period, she collected $368. How many cars and buses passed through the toll booth during that period? Select ALL THAT APPLY: 40 cars and 5 buses!!37 cars and 8 buses!!22cars and 21 buses!!28 cars and 16 buses!!0 cars and 41 buses!!46 cars and 0buses!!4cars and 37 buses!! 10 cars and 32 buses!! 1car and 40 buses!!19 cars and 24 buses

Answers

Answer 1
Final answer:

Applying the concept of Algebra, the toll collector processed 40 cars and 5 buses during a 4-hour period. This is found by checking each option against the equations 8c + 9b = 368 and c + b = total number of vehicles (where c = cars and b = buses).

Explanation:

To solve this problem, we need to find the number of cars and buses that make up the total toll collected, which is $368. We can set up a system of equations to solve for the two variables: number of cars (c) and number of buses (b).

So, we have two equations: 8c + 9b = 368 and c + b = total number of vehicles. By checking each option, only 40 cars and 5 buses match these equations, because 8*40 + 9*5 = 368.

So, the toll collector processed 40 cars and 5 buses during the 4 hour period.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2


Related Questions

for exercises 11-16 use inductive reasoning to draw the next shape in each picture pattern

Answers

11.  In each new figure, one vertex is introduced, and each vertex is joined to each other vertex.

12.  In each new figure, 2 rows and 1 column are introduced, and the shading at the corner moves 90 degrees clockwise.

13.  In each new figure, one row and one column are introduced, and exactly half of the rectangles are shaded.

14.  In each new figure, except at the bottom vertex, two perpendicular lines are introduced at the remaining vertices.

15.  In each new figure, one inverted white triangle is inscribed in the orange triangle.

16.  The number of squares increase in the pattern [tex]1^{2} , 2^{2} , 3^{2} ,...[/tex]. There are blue circles inscribed in one diagonal squares and there are yellow circles inscribed in the remaining squares. Also, the blue circles in diagonal alternate.

Please refer attached figures.

I NEED HELPP ASAP. im timed.
5. What property of equality is used to transform the equation from the first step to the second step?

[tex]\frac{x}{5}[/tex] =2 → X = 10

Answers

ANSWER

The Multiplicative Property of Equality


EXPLANATION

The Multiplicative Property of Equality allows us to multiply both sides of the given equation by the same quantity.

So for the given equation,

[tex]\frac{x}{5}=2[/tex]



When we multiply both sides by 5, we get;

[tex]5\times \frac{x}{5}=2\times 5[/tex]


[tex]\Rightarrow x=10[/tex]




Cara has $25 to buy dry pet food and treats for the animal shelter. A pound of dog food costs $2 and treats are $1 a piece. If she buys 9 pounds of food, what is the greatest number of treats she can by?

Answers

9 pounds of food at 2.00= 18.00

she has 25.00-18.00= 6.00 to buy treays

6÷1=6

Cara can buy 6 treats

Cara starts with 25$.

9 x 2 = 18$

25 - 18 = 7$

Cara can buy 7 dogs treats.

you put a frozen pizza in the microwave. Let T(m) be the function that represents the temperature in F of the pizza after m minutes
A. write a sentence explaining what T(0)=30 means
B. write a sentence explaining what T(5)=80 means
C. write a sentence explaining what T(3) is less than f(4) means

Answers

Final answer:

T(0) = 30 means the temperature of the pizza is 30 degrees Fahrenheit. T(5) = 80 means the temperature of the pizza is 80 degrees Fahrenheit after 5 minutes. T(3) is less than T(4) means the temperature of the pizza after 3 minutes is lower than after 4 minutes.

Explanation:

A. T(0) = 30 means that when the frozen pizza is put in the microwave, the temperature of the pizza is 30 degrees Fahrenheit.

B. T(5) = 80 means that after 5 minutes in the microwave, the temperature of the pizza is 80 degrees Fahrenheit.

C. T(3) is less than T(4) means that after 3 minutes in the microwave, the temperature of the pizza is lower than the temperature of the pizza after 4 minutes.

Last month, Carter ran 48 miles. This was 60% of his goal. How many miles did Carter set as his goal?

Answers

Answer: 80 miles.

Step-by-step explanation:

1. You have the following information given in the problem above:

- Carter ran 48 miles.

- 48 miles was 60% of Carter's goal.

2. Then, to calculate the number of miles that Carter set at his goal, you need to divide 48 miles by 60 and multiply this by 100, as following:

[tex](\frac{48}{60})(100)=80[/tex]

3. Therefore, the answer is 80 miles.


You are planning to run the distance on both Thursday and Friday. Write and solve an equation to find the number of mi. you need to run each day so you run a total of 13.1 miles over the five days.

Mon. 4.2
Tues. 1.6
Wed. 3.9
Thurs. x
Fri. x

Answers

after everything you've ran the total would be 9.7 but you'll need to run a total of 13.1 so you still need to run 3.4 miles so you Thursday and Friday you'll run 1.7 each.

How do I solve this: -3x+2y=2
5x-2y=-10

Answers

Answer:


Step-by-step explanation:

Solution is given below in attachment

Rhonda worked three more than twice as many hours as Chris did. How many hours did each work if together they worked 57 hours

Answers

Answer:

Rhonda: 39 hours; Chris: 18 hours.

Step-by-step explanation:

If you subtract the extra 3 hours from the total, you have Chris's hours plus twice Chris's hours adding to 54. That is, Chris worked 54/3 = 18 hours, and Rhonda worked 57-18 = 39 hours = 2·18 +3 hours.

_____

If you insist on equations, you can write two of them:

... r = 2c +3

... r + c = 57

Substitute for r in the second equation:

... (2c +3) +c = 57

... 3c +3 = 57 . . . . . from here down, the explanation above matches this math

... 3c = 54

... c = 54/3 = 18

... r + 18 = 57 . . . . . . substitute for c in the second equation

... r = 57 - 18 = 39

The graph below represents the solution set of which inequality

Answers

well, i need to see the graph to answer it lol. what is the graph?


Answer:

B: x^2 + 2x – 8 < 0

Step-by-step explanation:

edge

whats the reciprocal of 1 8/11

Answers

First, change the mixed fraction into improper fraction. Change the whole number into a fraction, and add.

1 8/11 = 11/11 + 8/11 = 19/11

To find the reciprocal, flip the fraction.

The reciprocal of 19/11 is 11/19

hope this helps

Final answer:

The reciprocal of 1 ⁸/₁₁ is 11/19, which is calculated by first converting the mixed number to an improper fraction (19/11) and then flipping the numerator and denominator to get the reciprocal.

Explanation:

To find the reciprocal of 1 ⁸/₁₁ , you first need to convert the mixed number to an improper fraction. To do this, multiply the whole number by the denominator, add the numerator, and then write the result over the original denominator. In this case, 1 ⁸/₁₁ becomes (1×11 + 8)/11, which simplifies to 19/11.

Now, the reciprocal of a fraction is obtained by flipping the numerator and denominator. So the reciprocal of 19/11 is 11/19. Therefore, the reciprocal of 1 ⁸/₁₁ is 11/19.

Understanding the concept of reciprocals is important in mathematics because dividing by a number is the same as multiplying by its reciprocal. In this context, dividing by 1 8/11 is equivalent to multiplying by 11/19.

6e - 7f = 8g + h, solve for f

Answers

Isolate the f. Note the equal sign. What you do to one side, you do to the other.

First, subtract 6e from both sides

6e (-6e) - 7f = 8g + h (-6e)

-7f = 8g + h - 6e

Divide -7 from both sides

(-7f)/-7 = (8g + h - 6e)/-7

f = -8/7g + h/-7 + 6/7e

f = -8/7g + h/-7 + 6/7e is your answer

hope this helps

you get 17 out of 22 correct on a math test what is your percent of correct answers

Answers

Answer:

77%

Step-by-step explanation:

divide 17 by 22

Hello  Gothgirl311192

To find a percentage, you would have 22/17

so 22/17

about 77 percent

:)

A room’s floor is y meters long. It’s width is 5 meters shorter. If the perimeter of the floor is (4y + 1) meters, can you solve for it’s length?

Answers

We know that the perimeter of a rectangle is:

[tex]P=2L+2W[/tex] (1)

Where:

P is the perimeter

L: it's the long

W: is the width

They tell us that the perimeter is:

(4y + 1)

The long is y

The width is y-5.

Then we can write equation (1) as follows:

[tex](4y + 1)=2y+2(y-5)[/tex]

[tex]4y+1=4y-10\\[/tex]

[tex]1 = -10\\[/tex]

The equation can not be solved and, therefore, it is not possible to find the value of "y" with the information provided.


50 POINTS What real-world examples can you use to describe the three ways in which two lines may be related? Geometry only(is this referring to skew lines and parallel lines if so then what's the third way 2 lines can be related?)

Answers

Parallel: Tire ruts / RR tracks / lines on notebook paper  

Perpendicular: tile grout (parallel too for that matter) - a capital T - most urban intersections  

Neither: strings of balloons you're holding


Hoped this helped

Answer:

Parallel: Tire ruts / RR tracks / lines on notebook paper  

Perpendicular: tile grout (parallel too for that matter) - a capital T - most urban intersections  

Neither: strings of balloons you're holding

Didn't copy the other guy.... This is for clarification ;D

Step-by-step explanation:


Please simplify the following distributive property expression:

7(x-4)

Answers

Final answer:

To simplify 7(x-4), distribute 7 over x and -4 to get 7x - 28. This is an application of the distributive property in algebra.

Explanation:

To simplify the expression 7(x-4) using the distributive property, you multiply the number outside the parenthesis, which is 7, by each term inside the parenthesis. The distributive property allows us to remove the parentheses by distributing the multiplication over the subtraction within.

Here is the step-by-step simplification:

Multiply 7 by x, which is 7x.

Multiply 7 by -4, which is -28.

Combine the results to get 7x - 28.

Therefore, 7(x-4) simplifies to 7x - 28.

I am a whole number. When rounded to the nearest ten, the answer is 210. The sum of my digits is 4. What number am I?

Answers

i think the answer is 214 i am not sure but i think it is

The number you are looking for is 211.

To find the number that meets the given criteria, we need to consider a few steps

1. The number, when rounded to the nearest ten, is 210.

2. The sum of the digits of the number is 4.

First, let's consider the numbers that round to 210 when rounded to the nearest ten. These numbers fall within the range of 205 to 214 (inclusive).

Next, let's identify which of these numbers has digits that sum to 4.

- 205: (2 + 0 + 5 = 7)

- 206: (2 + 0 + 6 = 8)

- 207: (2 + 0 + 7 = 9)

- 208: (2 + 0 + 8 = 10)

- 209: (2 + 0 + 9 = 11)

- 210: (2 + 1 + 0 = 3)

- 211: (2 + 1 + 1 = 4)

- 212: (2 + 1 + 2 = 5)

- 213: (2 + 1 + 3 = 6)

- 214: (2 + 1 + 4 = 7)

From this list, the number 211 is the only number within the range that has digits summing to 4.

What is the price per mug for 25 coffee mugs?

Find the price per T-shirt for 75 T-shirt

Answers

Mugs=4.29
T shirts=3.91

      $ 4.29 for mugs

                and

      $8.50 for T-Shirts

Happy New Year!

A school club wants to buy shirts for each of its 38 members. Each shirt cost $23. About how much money will all the shirts cost.

Answers

Answer: $874


Step-by-step explanation: multiply 23 by 38 to get the total cost


Answer:

874

Step-by-step explanation:

23 times 38 = 874


38 members, and it costs $23. So that's 38 shirts, costing  $23 each.


Hope this was helpful! Good luck.

A robot travels from position A to B to C to D, What composition of rigid motions represents those moves?

Answers

Assuming each movement is in a straight​ line, the composition

T <1,3> o T <4,0> o T <2,3>

represents the moves.

Each movement is in a straight line, the composition represents the moves <-5, 1>, <-3, 4>, <1, 4> and <2, 7>.

Given that, a robot travels from position A to B to C to D.

We need to find what composition of rigid motions represents those moves.

What is the composition of rigid motions?

Any way of moving all the points in the plane such that

a) the relative distance between points stays the same and

b) the relative position of the points stays the same.

There are four types of rigid motions that we will consider: translation, rotation, reflection, and glide reflection.

In a translation, everything is moved by the same amount and in the same direction. Every translation has a direction and a distance.

Therefore, each movement is in a straight line, the composition represents the moves <-5, 1>, <-3, 4>, <1, 4> and <2, 7>.

To learn more about the composition of rigid motions visit:

https://brainly.com/question/18800930.

#SPJ2

complete the ordered pair for y=-3x-5

Answers

y= -3x-5
if y=7
then
7= -3x-5
3x=-7-5
3x= -12
x=-12÷3
x= -4

So the pair is (-4,7)


Please mark as brainliest answer.

How would you describe the shape of



ribution?


Answers

Answer:

Normal distribution

Step-by-step explanation:

A normal distribution can be easily identified if you can see a "bell shape/curve" in the plotted bar chart or line chart.

With regard to a Bat chart a normal distribution can be identified when most of the tall bars are in the middle and when going from middle to both left and right you see the height of the bars dropping at the same rate both ways.

I have attached an image by editing your attachment. I have shown the "bell shape/curve" or the normal distribution.

What is 24.16 rounded to the nearest tenth??

Answers

24.2 would be your answer

solve for the following equation for x: a+x=y

Answers

x=a-y


We find this by subtracting a from both sides to find x.


x = y - a

isolate x by subtracting a from both sides of the equation

x = y - a


0.02 is ten times as much as 0.2

Answers

No, 0.2 is ten times greater than 0.02


65% of 520 garments is what garments

Answers

Answer:

332.8 garments (if you round it's 332 complete garments)

Explanation:

65% as we know it in decimal form is 0.65, to get the percent of a certain amount of items we multiply the percentage by the items.
0.65 * 512 = 332.8

If this helped please click "thank you"

suppose you earn $6 per hour at your pat-time job. what will your new hourly rate be afer a 2.5% rise? Explain

Answers

For 2.5% rise we first find increase and then add it to 6

Increase = 2.5% of 6 = 2.5/100 × 6= 15/100 =0.15$

New rates = $(6+0.15) = $6.15

The person explained fully

Write into algebraic expression. The Product of 9 and x, decreased by the sum of 8 and the square of x.

Answers

9x - (8 + x^2)

You can choose to keep the brackets or drop them since it wouldn't change the outcome of this expression.

Carlos raced around a 15-mile loop of track 25 times. What was the total distance of the race?

Answers

Answer:

375

Step-by-step explanation:

Did it on Edge

The total distance of the race is 375 miles.

Given data:

To find the total distance of the race, multiply the distance of the loop by the number of times Carlos raced around it.

Total distance = Distance of the loop * Number of times raced

Distance of the loop = 15 miles

Number of times raced = 25

Substituting the values into the formula:

Total distance = 15 miles * 25

On simplifying the equation:

Calculating the product:

Total distance = 375 miles

Hence, the total distance was 375 miles.

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

which is an equation of the line with a slope of 1/4 and a y-intercept of -2

Answers

y=1/4x-2 is your answer


The quotient of a number and two imcreased by five is 10 equation

Answers

x/2 + 5 = 10

Subtract 5 from both sides.

x/2 = 5

Multiply both sides by 2.

x = 10 (This is your answer.)

Other Questions
Many types of plants rely on bees for pollination. Which of the following describes the role that bees play in pollination? A. pollen cleaning B. pollen production C. pollen replication D. pollen transfer What is the solution to the problem expressed to the correct number of significant figures?(102,900 12) + (170 1.27) = ? Marcy job 0.8 mile on Wednesday and 0.9 mile on Thursday how far did she jog on the two days Which sentence from the passage best shows that the writer wants to keep the teachers perspective in mind In what way were the Maya similar to the Aztec and the Inca?All three followed a polytheistic model of religion.All three benefited from contact with Europe, Asia, and Africa.All three were conquered by Hernn Corts.All three used heavy force to control their citizens.All three dealt with famine and drought.NextReset As a member of the National Council of Women in Kenya, Wangari Maathai has promoted widespread tree planting. She was influenced by her childhood experiences in rural Kenya. There, she had witnessed forests being cleared and replaced by commercial plantations. This destroyed biodiversity and the capacity of forests to retain water. In an effort to stop deforestation, Maathai founded the Green Belt Movement in 1977. Over the next 30 years, the environmental organization mobilized women to plant 30 million trees.Do It!Maathai worked on _________ forests.A classifyingB accessingC demolishingD reconstructing What is shamanism? Please help An electronis store had 20% off sale. If a sterreo originally cost 125, how much Andrew deposited $500 in a savings account that offers an interest rate of 6.5%, compounded continuously. Andrew's initial deposit will grow to $543 in ___ months. How many career fields are there?A-6B-9C-11D-17 Japans primary goal in invading Manchuria was the regions Write 5 numbers that round to 360 when rounded to the nearest ten A .25 kg ball initially at rest is hit with a 460 N impact. What is the time of impact for this event if the ball ends up moving 40 m/s Common Sense Thomas Paine, 1776 The heart that feels not now is dead; the blood of his children will curse his cowardice, 1 who shrinks back at a time when a little might have saved the whole, and made them 2happy. I love the man that can smile in trouble, that can gather strength from distress, and 3grow brave by reflection. 'Tis the business of little minds to shrink; but he whose heart is 4firm, and whose conscience approves his conduct, will pursue his principles unto death. 5My own line of reasoning is to myself as straight and clear as a ray of light. Not all the 6treasures of the world, so far as I believe, could have induced me to support an offensive 7war, for I think it murder; but if a thief breaks into my house, burns and destroys my 8property, and kills or threatens to kill me, or those that are in it, and to "bind me in all 9cases whatsoever" to his absolute will, am I to suffer it? 10What signifies it to me, whether he who does it is a king or a common man; my 11countryman or not my countryman; whether it be done by an individual villain, or an army 12of them? If we reason to the root of things we shall find no difference; neither can any just 13cause be assigned why we should punish in the one case and pardon in the other. 14 Question:In your own words, discuss Thomas Paine's rationale for when it is appropriate and just to go to war, and when it isn't inappropriate and unjust to go to war. What metaphors does Paine use to support or illustrate his position? Give details from the text to support your answer. In China, what did wealth equate to? PL has endpoints P(4, 6) and L(2, 1).The segment is translated using the mapping (x, y) (x + 5, y).What are the coordinates of P and L?P(9, -6), L(-2, 1)P(4, -6), L(3, 1)P(9, -6), L(3, 1)P(9, -1), L(3, 6) 13 pointsRead the excerpt below and answer the question. Clover was a stout motherly mare approaching middle life, who had never quite got her figure back after her fourth foal. The underlined portion of this excerpt from Orwells Animal Farm is an example of which of the following? adjectival clause adverbial clause dependent clause independent clause Select all that apply. Which of the following are properly spelled words? hinderance incidently environment sophmore mathmatics miniature How do celebrities influence fashion? They start wearing items once they become popular. They are often the first to wear new fashion trends. They encourage their fans to dress like they do. They often tell designers what they would like to wear. 2(1-k), k-1, k+8 are the first three terms of a geometrical sequence. Find the value of k.