During a 60-minute period, a traffic engineer counted 66 trucks and cars that crossed a bridge. The ratio of trucks to cars that travel across the bridge is usually 3:8. The equation 3 8 = t 66 − t 3 8 = t 66 − t can be used to predict the number of trucks, t, the engineer should have counted. How many trucks should the engineer have counted?

Answers

Answer 1

Answer:

18

Step-by-step explanation:

t = Number of trucks counted

c = Number of cars

Ratio of trucks to cars = [tex]\dfrac{t}{c}=\dfrac{3}{8}[/tex]

Total number of cars and truck = 66

[tex]t+c=66[/tex]

Divide the left and right side by the number of cars

[tex]\dfrac{t+c}{c}=\dfrac{66}{c}\\\Rightarrow \dfrac{t}{c}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{3}{8}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{11}{8}=\dfrac{66}{c}\\\Rightarrow c=66\times \dfrac{8}{11}\\\Rightarrow c=48[/tex]

Total number of cars is 48

so

[tex]t=66-c\\\Rightarrow t=66-48\\\Rightarrow t=18[/tex]

Total number of trucks counted is 18.


Related Questions

Janet answered 4 out of 5 correctly on her test. What percent of the questions did she answer
correctly?

Answers

Answer:

80%

Step-by-step explanation:

you divide 4 and 5. Which equals 80

Answer:

80%

Step-by-step explanation:

Which ratio is equivalent to 10:2

Answers

Answer:

5:1

Step-by-step explanation:

The ratio 10: 2 will be equivalent to ratios 20:4, 30:6, 40:8, and 50:10. Then all the options are correct.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The equivalent is the expression that is in different forms but is equal to the same value.

The ratio is given below.

Ratio = 10 / 2

Multiply and divide the ratio by 2. Then we have

Ratio = 10 x 2 / 2 x 2

Ratio = 20 / 4

Multiply and divide the ratio by 3. Then we have

Ratio = 10 x 3 / 2 x 3

Ratio = 30 / 6

Multiply and divide the ratio by 4. Then we have

Ratio = 10 x 4 / 2 x 4

Ratio = 40 / 8

Multiply and divide the ratio by 5. Then we have

Ratio = 10 x 5 / 2 x 5

Ratio = 50 / 10

The ratio 10: 2 will be equivalent to ratios 20:4, 30:6, 40:8, and 50:10. Then all the options are correct.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

The missing options are given below.

20:4

30:6

40:8

50:10

what is 6.85 times 2 times 10?

Answers

Answer:

137

Step-by-step explanation:

:)

A contestant on the Biggest Loser tv show started at 380 lbs. When the show ended, the contestant weighed 225 lbs. What was the contestants percent decrease?

Answers

amount decrease = 380 - 225 = 155
percent = 115/380 * 100 = 40.8 %

Answer:40.789%

Step-by-step explanation:

380-225=155

155/380=0.40789 or 40.789%

The expression 2x² + ax is equivalent to x (2x + 7) for some constant a. What is the value of a ?

Answers

2x^2 + ax = x(2x+ 7)
2x^2 + ax = 2x^2 + 7x
Subtract 2x^2 from both sides
ax = 7x
a = 7

someone please help

What is the solution to the system of equations below?
4x + 8y = 24
12y = 4x - 30

Answers

X= 33/5
Y= -3/10

Hope this helps

Answer:

(33/5 , -3/10)

Step-by-step explanation:

Using bangle side relationship theorem use the angle measures to list the side lengths of the triangle in order from longest to shortest

Answers

Answer:

AC= longest side

BC=middle side

AB=shortest side

Step-by-step explanation:

there is 180 degrees in a triangle, therefore

95+50=145

180-145=35

so we have angles 95, 50, 30

and we know that the side opposites with the angle corresponds to how big the side will be compared to the other sides

Therefore,

AC= longest side

BC=middle side

AB=shortest side

Is 10, 24, and 13 a Pythagorean triple?

A. yes
B. cannot tell
C. no​

Answers

Answer:

C. no

Step-by-step explanation:

Simplify completely:

Answers

Answer:

(3)¼×¾

Step-by-step explanation:

3⁴/⁴

hope its write

Answer:

[tex]\frac{13}{4}[/tex] · [tex]\frac{15}{4}[/tex]

Step-by-step explanation:

Focusing on the first fraction, in order to simplify it, you have to multiply the denominator by the whole number; 4 x 3 is 12. You add the product to the numerator, so 12 + 1 would be 13. Therefore, the first fraction simplified would be [tex]\frac{13}{4}[/tex].

We can apply the same procedure to the next fraction, so 3 x 4 is 12, and 12 + 3 is 15. [tex]\frac{15}{4}[/tex] would be your answer.

Hope this helps! :)

Rotate AXYZ 270° about the origin, (0,0).

Answers

Answer:

The rule for a rotation by 270° about the origin is (x,y)→(y,−x) .

1/2(-4+6n)=1/3n+2/3(n+9)

Answers

The correct answer is n=4:)

Answer:

n= 4

Step-by-step explanation:

Lisa's school requires each student to earn 75 hours of community service each year. Lisa has
already earned 27 hours. She plans to earn the remainder of her hours by volunteering at a
nursing home. If Lisa spends 2 hours at the nursing home per visit, which equation represents the
number of visits, v, that Lisa will need to make to fulfill her community service requirement?

Answers

Answer:

v=24

Step-by-step explanation:

Uh help please f(6)=1x+2

Answers

F(6)=1(6)+2

6+2

8

The answer is 8.

Find the component form of the vector that represents the velocity of an airplane at the instant its wheels leave the ground, if the plane is going 75 miles per hour and the body of the plane makes an9° angle with the horizontal.

Answers

Answer:

The component form of the vector that represents the velocity of the airplane is [tex](74.1 i , \ 11.73j)\ mph[/tex]

Step-by-step explanation:

Given;

velocity of the airplane, v = 75 mph

direction of the plane, θ = 9°

The vertical component of the velocity is given by;

[tex]V_y = vsin\theta\\\\V_y = (75)(sin \ 9^0)\\\\V_y = 11.73 \ mph[/tex]

The horizontal component of the velocity is given by;

[tex]V_x = vcos \theta\\\\V_x = (75)(cos9^0)\\\\V_x = 74.1 \ mph[/tex]

Therefore, the component form of the vector that represents the velocity of the airplane is given as;

[tex](V_x , \ V_y) = (74.1 , \ 11.73)\ mph[/tex]

6
4.
2
74-22
2
4-
6
Slope

Answers

6+6+4+4-2+2+74+22 =120

Which of the following shows 2/25 is written as a percent?
2%
8%
12%
25%

Answers

8% is the correct answer!

Answer:

8%

Step-by-step explanation:

2/25*100

=8%

In class of 30 students there are 16 girls what is the ratio of boys to girls in the class

Answers

Answer:

No. of boys in class = 30-16=14

so,ratio=14:16

=7:8

Donny joined a club that costs $40 per month. Is the cost over time a proportional or non-proportional relationship?

Answers

Answer:

The cost over time is a proportional relationship

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"

if f(x) = 3x-2 and g(x) =2x+1 find (f+g)(x)
A. 5x-1
B. 5x-3
C. x-1
D. x-3​

Answers

I think it is c because x-1 is true

Find the range of the function f(x) = 3x - 2, given the domain {-4, 0, 4}

Answers

Answer:

{-14, -2, 10}

Step-by-step explanation:

To find the range, you can use all the domain values and find the output.

f(-4) = 3(-4) - 2

f(-4) = -12 - 2

f(-4) = -14

f(0) = 3(0) - 2

f(0) = 0 - 2

f(0) = -2

f(4) = 3(4) - 2

f(4) = 12 - 2

f(4) = 10

Best of Luck!

Answer:

{-14, -2, 10 }

Step-by-step explanation:

does anybody even understand algebra?

Answers

Answer:

I do not understand thank you for asking

Step-by-step explanation:

thank you

Answer:

B (2,22)

Step-by-step explanation:

Five more than the product of a number and three is negative twenty-five.

Answers

The number is -10.

Explanation:

3x + 5 = -25

3x = -30

x = -10

how do you divde fractions with whole numbers with gemdas

Answers

Example: 3/4 x 7

3          7

     x

4          1

You multiply 3 and 7 to get 21.

Then multiply 4 and 1 to get 4.

Now you have 21/4.

Finally, you simplify.

5 1/4

hope it helps! :3

Solve the system using a method of your choice

Answers

Answer:

(4, 1)

Step-by-step explanation:

Method elimination would be good for this system

2x - y = 7 ........ (1)

x + y = 5 ......... (2)

(1) + (2)

3x = 12 ⇒ x = 4

4 + y = 5 ⇒ y = 1

(4, 1)

X= 4.25
Y= 0.75

4.25 +0.75 = 5
4.25 - 0.75 = 3.5

In the equation 0.5x-8=1.5 the decimal coefficient is

Answers

Answer:-9.5

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

The coefficient is the number that multiply the variable, in this case x.

determine the angle of x :p

Answers

Answer:

x=-10 I think?? because they are congruent

1) (-8,-8), (8,4)
Find the slope of the line through each pair of points

Answers

2 duhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer: 3/4

Step-by-step explanation:

Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?

Answers

Answer:

the answer is x ^ 272

Step-by-step explanation:

subtract

Answer:

its B

Step-by-step explanation:

I got 100 on the quiz

what is 10÷1/3 and the answer had to be a whole number​

Answers

Answer:

30

Step-by-step explanation:

your basically multiply, that's how I think about it

10 · 3

Your job is to sort and stack marblesfor sale. A bag contains 44 marbles, and some green. If there are 11 red marbles, what is the ratio of green to red marbles

Answers

Answer:

3 : 1

Step-by-step explanation:

Given that :

Total Marbles in bag = 44

Color of marbles in bag : red, green

Number of red marbles = 11

The ratio of green to red marbles :

Number of green marbles :

(Total marbles in bag - number of red marbles)

(44 - 11) = 33 green marbles

Hence, ratio of green to red Marbles:

Number of green marbles : number of red marbles

33 : 11

3 : 1

Answer:

The correct answer is 2:1.

Step-by-step explanation:

I did the K12 assignment and is said this was the right answer.  

Other Questions
15 POINTSRodrigo ________________ diez aos.has cumplidotiene cumplirha cumpliendoha cumplido Write a rough draft and a normal story about a haunted house with Spooky,creaky,scary,creepy,cursed,dark, black,loud,crackly,tilted,lots of roomand Ghosts,zombies,vampire,bats,ghouls,moving furniture,mice,spirits,skeleton,pictures,spiders,jars of insidesplz it is due by 11amOnly a haunted house no people like Mia or something OK thx (Ill give you brainiest)What area is Sanskrit the official writing for?A. IndiaB. AsiaC. EgyptD. Cairo In circle K with \text{m} \angle JKL= 138^{\circ}mJKL=138 , find the angle measure of minor arc \stackrel{\Large \frown}{JL}. JL . please help me in this question Choose the correct pronoun.The teacher told ____students that we had won the game.uswe Why did Stephen F. Austin write a letter to the Mexican authorities in San Antonio after spending sometime in Mexico City? a. Austin was frustrated with Santa Annas unwillingness to pass the resolutions. b. Austin was sick with cholera and was worried he would not make it back to Texas so he tried to recruit help. c. Santa Anna told Austin that the only way he would pass the resolutions was if he gained the support of people living in San Antonio. d. Austin was frustrated with Farass unwillingness to help pass the resolutions. Please select the best answer from the choices provided A B C D If km and np are parallel lines and m CAN YOU PLEASE HELP ME CORRECT ANSWER GETS BRAINLIST ! Two shapes with equal perimeter are pictured below.What is the measure, in units, of CD? Which statement best explains how the compass made voyages of exploration possible?It aided navigators in predicting the weather.It kept crews from getting sick.It helped sailors steer around rocky coasts.It allowed sailors to know their direction. during the battle at yorktown, the british and most americans thought washington was going to go north towards new york. instead, he went ______. a. southb. eastc. west The raw materials needed for photosynthesis areA. Carbon dioxide and oxygenB. Carbon dioxide and waterC. Chlorophyll and sunlightD. Oxygen and glucose What happens when a space shuttle reenters the atmosphere? which is an example of how the physical environment helped the aztecs establish an empire? find the value of 1/23/5 +1/22/5 by using suitable property.please answer this friends Deon has $600 in his saving accountHe spends $15 per month on Netflix He spends $5 per month in HuluIf he does not make any more purchases, select all of the months that he can continue to have the subscription before he goes into debt. When someone smokes, what is the name of the poisonous, odorless, and colorless? O Carbon DioxideO RadonO Carbon Monoxide O None of the above What would happen if you touched an object that is the same temperature as your hand? Would any heat transfer happen? Explain your answer in 4-5 sentences. An element's identity is determined by the number of