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

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

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

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:

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:

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"

determine the angle of x :p

Answers

Answer:

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

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

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%

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:

what is 6.85 times 2 times 10?

Answers

Answer:

137

Step-by-step explanation:

:)

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

Answers

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

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.

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

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

Is 10, 24, and 13 a Pythagorean triple?

A. yes
B. cannot tell
C. no​

Answers

Answer:

C. no

Step-by-step explanation:

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

Answers

F(6)=1(6)+2

6+2

8

The answer is 8.

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:

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

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

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]

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

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

Answers

The correct answer is n=4:)

Answer:

n= 4

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! :)

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

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) .

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:

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

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:

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.  

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