During a 60-minute period, a traffic engineer counted 54 trucks and cars that crossed a bridge. The ratio of trucks to cars that travel across the bridge is usually 2:7. The equation LaTeX: \frac{2}{7}=\frac{t}{54-t}2 7 = t 54 − 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:

Step-by-step explanation:

Given the expression for the equation representing the prediction of number of trucks as;

2/7 = t/54-t where t is the number of trucks

To get the number of trucks t, we will have to evaluate the expression and solve for t as shown;

Given 2/7 = t/54-t

Cross multiply

2(54-t) = 7t

Open the parenthesis

2(54)-2t = 7t

108-2t = 7t

7t+2t = 108

9t = 108

Divide both sides by 9

9t/9 = 108/9

t = 21

Hence the engineers should have counted 21trucks


Related Questions


The 240 ninth-graders at a high school are divided into homeroom groups of 10 or 12 students. This equation models the
situation, where x represents the number of 10-student groups and y represents the number of 12-student groups:
10x +12y = 240.
? Question
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
The x-intercept is located at ( ,0).
The y-intercept is located at (0, )
The slope of the line represented by this equation is[ ]

Answers

Answer: The X intercept is located at (24,0) The Y intercept is located at (0,20)

The slope of the line represented by this equation is -5/6

Step-by-step explanation:

The x-intercept is located at (24, 0).

The y-intercept is located at (0, 20)

The slope of the line represented by this equation is (-5/6).

We have,

Equation:

10x + 12y = 240

This can be written in the slope-intercept form.

y = mx + c

Where m is the slope and c is the y-intercept.

Now,

10x + 12y = 240

12y = 240 - 10x

12y = -10x + 240

y = (-10/12)x + 240/12

y = (-5/6)x + 20

Now,

The y-intercept is 20.

This is when x = 0.

And,

The x-intercept is when y = 0.

0 = (-5/6)x + 20

(5/6)x = 20

x = 4 x 6

x = 24

And,

The slope is (-5/6)

Thus,

The x-intercept is located at (24, 0).

The y-intercept is located at (0, 20)

The slope of the line represented by this equation is (-5/6).

Learn more about the equation of a line here:

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please help me with this it's worth 80 points
and please show all work
3x - 4 + 6x = -31

17 = 3x - 10

2x + 6 = 4x - 8

17x - 5(3x - 11) = 41

5x - (3x - 6) = 18

6x - 3(4 - 5x) = 30

x - (-5) = 7

Answers

This is a lot of questions-

I did them all on a calculator.

1.)

3x - 4 + 6x = -31

3x + 6x - 4 = -31

9x - 4 = -31

9x = -27

Answer: x= -3

2.)

17 = 3x - 10

3x -10 = 17

-10 = -10

3x = 27

divide both sides by 3

Answer: x= 9

3.)

2x + 6 = 4x - 8

-6 = -6

2x = 4x -14

-4x (both sides)

-2x = -14

divide both sides by -2

Answer: x = 7

4.)

17x - 5(3x - 11) = 41

2x +55 = 41

-55 (both sides)

2x = -14

divide 2 both sides

Answer: x = -7

5.)

5x - (3x - 6) = 18

2x + 6 = 18

-6 both sides

2x = 12

divide both sides by 2

Answer: x = 6

6.)

6x - 3(4 - 5x) = 30

21 - 12 = 30

+12 boh sides

21x = 42

divide both sides by 21

Answer: x = 2

7.)

x - (-5) = 7

x + 5 = 7

-5 both sides

Answer: x = 2

someone help me!!!??​

Answers

1. 0.009457

2. 86 500 000

Which expression is equivalent to 17s - 10 + 3(2s +1)?

Answers

Answer:

7s

Step-by-step explanation:

17s-10=3(2s+1)

17s-10 = 7s

2s+1=3s

7s+3s=10

10-3=7s

Kelly needs to travel 12 miles. Taxi A charges $3.00 plus $0.30 every 1/9 mile. Taxi B charges $3.25 plus $0.20 every 1/9 mile. How much money (in dollars) does kelly save by using taxi B instead of taxi A? (PLEASE HELP ASAP)

Answers

Answer:

$10.55

Step-by-step explanation:

Total miles traveled = 12miles

If taxi A charges $0.3 for every 1/9 mile, then for 12 Miles, he will charge;

12×0.3/(1/9)

= 12×0.3×9

= 108×0.3

= $32.4

Amount charged initially = $3.00

Total charge by Taxi A = $32.4+$3.00

Total charge by Taxi A = $35.4

If taxi B charges $0.2 for every 1/9 mile, then for 12 Miles, he will charge;

12×0.2/(1/9)

= 12×0.2×9

= 108×0.2

= $21.6

Amount charged initially = $3.25

Total charge by Taxi B = $21.6+$3.25

Total charge by Taxi B = $24.85

Total money saved by Kelly = Amount charged by Taxi A - Amount charged by Taxi B

Total money saved by Kelly = $35.4-$24.85

= $10.55

Hence Kelly saved $10.55 using taxi B

LOOK AT THE IMAGE ABOVE & SOLVE IT BY SHOWING FULL STEPS! I will mark you brainlist if you show full steps

Answers

Answer:

Area of original shape: x1

Area of zoomed shaped: x4

Perimeter of original shape: x1

Perimeter of zoomed shaped: x2

Step-by-step explanation:

Since the image is zoomed in by 2, it means that all measurements are doubled. When calculating the area, the zoomed shape had an area 4 times greater than the original shape! With perimeter, instead of the same multiplier, the perimeter of the zoomed shape was only doubled of the original shape.


3x-11+6x-10+x=180
For this question I got 17.7 is that correct

Answers

Answer:

Your answer is correct

-2 2/3 - (- 1/3) =
.......

Answers

Do you want this simplified?

Jack's birthday is in 8 weeks. How many days is it until Jack's birthday? Complete the explanation on how you could use a number line to solve. Jack's birthday is in days. I would draw equal jumps of beginning at 0 on the number line. The jumps end at .

Answers

Answer:

Jack's birthday is in 56 days.

The jumps end at point 56 on the number line.

Step-by-step explanation:

Since one week has 7 days.

So, 8 week = 8 x 7 =56 days.

Hence, Jack's birthday is in 56 days.

On the number line, the current time is being represented by 0.

When I take one jump from 0, I will reach the point 1 on the number line, which corresponds to 1 day.

Again, in my 2nd jump from point 1 on the number line, the next point on the number line will be 2 which corresponds to 2 days.

This process repeats until I complete the 56 jumps to get point 56 on the number line, which corresponds to 56 days.

In this way, the number line can be used to solve.

Hence, the jumps end at point 56 on the number line.

Jose desea cubrir los gastos del tratamiento del Cov.19 de un familiar,para ello solicita un préstamo de una entidad bancaria un moto que asciende de s/.5000 cantidad a pagar con un interés de 1.5% trimestral,ha previsto pagar con los intereses incluido en un plazo de dos años ¿Cuanto pagara jose por interés del dinero prestado? ¿Cuando sera el monto total que pagara Jose?

Answers

Answer:

Step-bynznsbsjsjsbsisksbbd-step explanation:bdndnsoansjj hi rodn

Answer:

gkssjsjsjssisndrishddhdsusucjdjejuzuxuddid

−24 − (18 ÷ 6) × (−12)

Answers

Answer:

12

Step-by-step explanation:

Answer:

The expression is equal to 12.

Step-by-step explanation:

[tex]-24-(18 / 6)*(-12)[/tex]

First of all, compute the parenthesis.

18 / 6 = 3

Now, replace 18/6 with 3 in our expression.

[tex]-24-(18 / 6)*(-12)[/tex]

[tex]-24-(3)*(-12)[/tex]

Next, compute the multiplication.

-12 * 3 = -36

Again, we'll replace that multiplication with negative 36:

[tex]-24-(3)*(-12)[/tex]

[tex]-24-(-36)[/tex]

Since subtracting a negative number is the same as adding a positive number:

[tex]-24-(-36) = -24+36[/tex]

Compute the addition:

[tex]-24+36=12[/tex]

[tex]-24-(18 / 6)*(-12) = 12[/tex]

Answer: The expression is equal to 12.

- |4x+10|-7=-14 solve for x

Answers

Answer:I forgot how to solve that

Step-by-step explanation:

A line passes through the points(-6,-3) and (6,-3). which of the following points are also on the line
A.(-3,0)
B.(6,0)
C.(0,-3)
D.(-6,0)

Answers

Answer:

C. (0, -3)

Step-by-step explanation:

The red point is (-6, -3)

The blue point is (6, -3)

The only answer that fits through the line that those two would make is (0, -3)

Please mark Brainliest! I need it to level up!!

Where the red dot Located and explain please

Answers

Answer:

do u have a pic that has a red dot if u do then that would be great

Step-by-step explanation:

NEED PIC

Represent the following expressions as a power of the number a (a≠0):
a
(a∧−1·a∧−2)∧−1

Answers

(6x7) that’s the answe

Answer:

a^3

Step-by-step explanation:

z=−45i−15.5 what are the imaginary parts

Answers

Answer:

-45i

Step-by-step explanation:

i is an imaginary number so the answer should be -45i, I hope this helps :)


A, B and C are service stations
AB= 25 miles
BC= 25 miles
Aysha drives along the motorway from A to C
Aysha drives at an average speed of 50 mph from A to B.
She drives at an average speed of 60 mph from B to C.
Work out the difference in the time Aysha takes to drives from A to B and the time Aysha takes to drive from B to C.
Give your answers in minutes.

Answers

Answer:

shrek

Step-by-step explanation:

the answer to everything is shrek

The answer would be in fact 8 I think this because I’m guessing

Max and Maddy race. Max runs at a speed of 2mph. Maddy runs at a speed of 3mph. If Max takes 3 hours, what is Maddy's speed?

Plz answer!

Answers

Answer:

The question has the answer in it.. Maddy's speed.. which is 3 MPH :/ but... if you need to find the thing that isn't known... Maddy's time.. here is how..

Step-by-step explanation:

Max takes 3 hours at 2 mph.. soo 3x2=6 miles that max traveled

Maddy runs at 3 mph  so .. 6 miles / 3MPH  =2 hours,  Maddy takes 2 hours


HELP ASAP!!!
One crate can store 12^3 toys. A warehouse receives 12^7 toys. Enter the number of crates
needed to store all the toys the warehouse received.

Answers

Answer: The number of crates  needed to store all the toys the warehouse received = [tex]12^4= 20736[/tex]

Step-by-step explanation:

Given: Total number of toys = [tex]12^7[/tex]

Number of toys in one crate = [tex]12^3[/tex]

The number of crates  needed to store all the toys the warehouse received.

= (Total number of toys) ÷ (Number of toys in one crate)

[tex]=12^7\div 12^3 = 12^{7-3}\ \ \ [a^m\div a^n=a^{m-n}]\\\\=12^4[/tex]

Hence, the number of crates  needed to store all the toys the warehouse received = [tex]12^4= 20736[/tex]

Answer:

12^4 or 20736

Step-by-step explanation:

Since the warehouse has 12^7 toys and you need to find how much crates that can fit 12^3 toys will store all the toys, you must divide 12^7 by 12^3.

When dividing radical expressions, remember:

a^3/a^2=a^1    This kind of acts like subtracting the squared number

a^3 * a^2 = a^5    This kind of acts like adding the squared number

(a^3)^2 = a^6    This kind of acts like multiplying the squared number

Therefore, if you use the methods above, 12^7 / 12^3 = 12^4

12^4= 20736

PLEASE HELP!!! I NEED TO TURN THIS IN IN 5 MINS!!!
What belongs in the blank spaces in the equations? What should be dotted on the graphs?. ( Show Your Work!)

Answers

Answer:

Cool Down 2:

y = -2x+4

y=1x+1

Part 2:

y = -5/1x +3

y = -6/1x +4

Step-by-step explanation:

Which number produces a rational number when added to 0.5?
A. –1.73205081…
B. 1/4
C. 0.54732871…
D. √3

Answers

Answer:

Option B is correct 1/4.

Step-by-step explanation:

To find : Which number produces a rational number when added to 0.5?

Solution :

A rational number is defined as number written in simple fraction or in p/q form.

An irrational number is defined as number which cannot be written in p/q form.

We know that,

A rational number adding a rational number gives you a rational number.

A rational number adding an irrational number gives you a irrational number.

Now we take each option and check.

Option A : -1.73205081…

Number has no end and have infinite number of digits so it is irrational number.

No, this number not produce a rational number.

Option B : 1/4=0.25

Number is in form p/q so it is rational number.

Yes, this number produce a rational number.

0.25+0.5=0.75 a rational number.

Option C : 0.54732871…

Number has no end and have infinite number of digits so it is irrational number.

No, this number not produce a rational number.

Option D : \sqrt{3}

\sqrt{3} cannot be written in ratio so it is irrational number.

No, this number not produce a rational number.

If h(x) = 20 +5, find h(2)

Answers

Answer:

I think the answer is 50

Step-by-step explanation:

thats how i learned in school i dont remember tho

Select the correct answer.

How many solutions for x does the following equation have ?
2/3(6x + 6 ) = 4x + 4

Answers

Answer:

X has infinite solutions because no matter what value you plug in for x, both sides will always be equal.

Step-by-step explanation:

3 times a number f increased by 5 squared

Answers

Answer:

3f + 5²

Step-by-step explanation:

3 times a number f means we could just put them together, aka 3f. Then increased means we can add. Next you see 5 squared. Squared means the exponent is 2, or you are multiplying the number with itself.

Rohini spends 88℅ of her monthly income. If she saves rs 3420 per month,what is her monthly income ?​

Answers

Answer:

rs 28500

Step-by-step explanation:

If she saves rs3420 and spends 88% we need to convert 88% to a decimal first.

88% = 88/100 = .88

Let m equal her monthly income.

m - .88m = 3420

.12m = 3420

.12m/.12  = 3420/.12

m =  3420/.12

m = 28500

He monthly income is rs28500.

7m-3n-4m-7n+3
can someone tell me what is the answer please​

Answers

Answer:

7m-3n-4m-7n+3  = 3m-10n+3

7-4=3

-3-7=-10

Hank wants to add a row of tile to his kitchen wall. The space is 5.75 feet long. He plans to put a \frac {3}{4} 4 3 ​ –foot yellow tile in the center. He'll fill the rest of the space with blue tiles that are 3 inches long. How many 3-inch blue tiles will he need?

Answers

Answer:

He will need 20 3-inch blue tiles

Step-by-step explanation:

Here, the total space to fill is a length of 5.75 ft

The tiles to place at the center has 3/4 ft which is same as 0.75 ft

The length left unfilled will be 5.75 - 0.75 = 5 ft

Now we want to know the number of 3 ft tiles needed to fill up this length;

Mathematically, we know that

1 ft = 12 inches

So 5 ft will be 5 * 12 = 60 inches

So the number of 3 inch tiles needed to fill this length will be 60/3 = 20 tiles

Find the slope of the given linear function shown in the graph?

Answers

Answer:

-2

Step-by-step explanation:

Pick a point the count down 2 and right 1 to the next point

Since it goes down and to the right its negative

Answer:

-2

Step-by-step explanation:

Rise over run. It went down which means it's a negative. Then it went right (run).

*PLEASE ANSWER, I NEED HELP*
Which of the following graphs shows the solution set to t > 4 or t < -1?

Answers

Answer:

The second graph

Step-by-step explanation:

t is greater than 4 and less than -1 but doesn't include the points 4 and -1 (thus the open circles)

The second graph represents the solution set to t > 4 or t < -1.

What are open and closed interval ?

In open interval we do not include the point and represented by open circle in close interval we do include the points and represented by closed interval.

According to the given question we have to determine which graph represents the solution set t > 4 or t < -1.

We know when we represent less than or greater than in the number line we represent it as an open circle.

So, t > 4 will be represented by an open circle on the number line starting at 4  but not including which goes to positive infinity and t < -1 will be represented by an open circle at -1 not including which goes to negative infinity.

learn more about open and close interval here :

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Simplify -2 over 3 as a fraction -7 over 4 as a fraction

Answers

Answer:

-2/3 stays the same and -7/4 goes to -1  3/4

Step-by-step explanation:

Answer: -29/12            

= -2.41667  

 12          

Step-by-step explanation:

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