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 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?

Answer:

132

Step-by-step explanation:

Answer:

3. W = L - 4

4. x = 12 + 5cd

if you're creating equations that's what I would do

Answer:

The other part is 27 in. long

Step-by-step explanation:

1 ft is 12 in

2 ft are 24 in

4 ft are 48 in

48 in - 21 in = 27 in

Answer:

Part A

Green rope = 4 ft

As 1 ft = 12 in

Then 4 ft = 4 × 12 in = 48 in

Antonia cuts the green rope into 2 pieces.  One of the pieces is 21 in long.  To find the length of the unknown piece, subtract the length of the known piece from the total length:

length of unknown piece = 48 - 21

                                           = 27 in

Part B

Blue rope = 2 yd

1 yd = 36 in

Therefore, 2 yd = 2 × 36 = 72 in

Antonia wants to cut the rope into MORE than 3 pieces, and all the pieces need to be of equal length.  As the length of the rope is an even number of inches, Antonia could first cut the rope in half, so she would have 2 pieces each of 36 in in length.  Then she could cut both of those lengths in half, so she would have 4 pieces each of 18 in in length.

Answer:

-4,-1,4,11

Step-by-step explanation:

f(n)=n^2-5

Let n= 1

f(1)=1^2-5 = 1-5 = -4

Let n= 2

f(2)=2^2-5 = 4-5 = -1

Let n= 3

f(3)=3^2-5 = 9-5 = 4

Let n= 4

f(4)=4^2-5 = 16-5 = 11

Answer:

explantion IS the answer

Step-by-step explanation:

To estimate the square root of a number, we could start by relating the square to known perfect squares. 125 is between 11 and 12. It is probably closer to 11 since 125 is closer to 121 than to 144.

Answers:

Side note: The double arrow over WY and XV in statement 5 is supposed to be an unbroken line.

Answer:

Pigs = 17

Ducks = 6

Step-by-step explanation:

Let there be x pigs and y ducks in the field.

[tex]\implies x + y =23[/tex]

[tex]\implies y =23-x.....(1)[/tex]

Since, there are 80 legs in all.

Each pig has 4 legs and each duck has 2 legs. So, x pigs will have 4x legs and y ducks will have 2y legs.

Total legs = 4x + 2y

Total legs = 80 (Given)

[tex]\implies 4x + 2y =80....(2)[/tex]

From equations (1) & (2), we find:

[tex]\implies 4x + 2(23-x) =80[/tex]

[tex]\implies 4x + 46-2x =80[/tex]

[tex]\implies 2x =80-46[/tex]

[tex]\implies 2x =34[/tex]

[tex]\implies x =\frac{34}{2}[/tex]

[tex]\implies x =17[/tex]

[tex]\implies y =23-17[/tex]

[tex]\implies y =6[/tex]

Answer:

5/7

Step-by-step explanation:

Answer:

slope=5/7

Step-by-step explanation:

y-y=m(x-x)

7-2=m(3+4)

5=m(7)

5/7=m

Answer: 9,28

4,22

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

10 x 10 = 100

100 x 10 = 1000

I don't know to this problem sorry

Answer:

if you want an item that is 100 dollars of then you would like the precent of because 1-100 percent is 1-100 so the larger the number the more you would want the percent but if it is 10% or 5 dollars of on an item of 10 dollars then the dollars of would be better so the higher the number the more you want percentage.

Answer:

the answer is 5 + x

Step-by-step explanation:

The reason is because since you do not know the age of sam you cant put a number infront of x. So you just add 5 + x

Answer:

600 and 1200

Step-by-step explanation:

Answer:

y = 2/3x + 4

Step-by-step explanation:

so we already know the y intercept is 4 so lets put that in the equation

y = mx + 4

now we use the equation y2 - y1 / x2 - x1 to find the slope

lets use the points (-6, 0) and (3, 6)

6 - 0 / 3 - (-6)

6 / 9

2/3

the equation is

y = 2/3x + 4

check:

lets use the point (6, 8)

substitute:

8 = 2/3(6) + 4 ?

8 = 4 +4?

8 = 8

Answer:

should be 563

Step-by-step explanation:

11,19,27,35, 43, 51, 59, 67, 75, 83,

91, 99, 107, 115, 123, 131, 139, 147, 155, 163,

171, 179, 187, 195, 203, 211, 219, 227, 235, 243

(there is a notable difference of 80 on each row)

243+(80x4)=243+320=563

Answer:

563

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding to the previous term in the sequence gives the next term. In other words, .

Formula;

L = a + (n - 1)*d

Givens

n = 70

a = 11

d = 8

Solution;

t = 11 + (70 - 1)*8

t = 11 + 69*8

t = 11+ 552

t = 563

~Learn with lenvy~

Answer:

you can buy 4 pizza's and have $4 left over

Step-by-step explanation:

60/14 = 4.2857...

14 x 4 = 56

60 - 56 = 4

Answer:

quotient: 4

remainder:4

Step-by-step explanation:

you can buy 4 pizzas in all

It would take Jenna half an hour, or 30 minutes, to run 3 km.

Hope this helps!

Answer:

x=3

Step-by-step explanation:

-8-4=-12

2x-6x=-4

-12÷-4=3

Hope this helps! :)

Answer:

x=25

Step-by-step explanation:

x+5+6x=180

7x+5=180

7x=175

x=25

The equation Y = -1/1000 t^2 + 10t is an illustration of a quadratic function

The number of DVD players that must be sold to obtain the maximum revenue is 5000

The equation of the function is given as:

[tex]Y = -\frac 1{1000} t^2 + 10t[/tex]

Differentiate the function

[tex]Y' = -2 * \frac 1{1000} t + 10[/tex]

Set to 0

[tex]-2 * \frac 1{1000} t + 10 = 0[/tex]

Simplify

[tex]- \frac 1{500} t + 10 = 0[/tex]

Subtract 10 from both sides

[tex]- \frac 1{500} t = -10[/tex]

Multiply both sides by -500

[tex]t = 5000[/tex]

Hence, the number of DVD players that must be sold to obtain the maximum revenue is 5000

Read more about maximum revenue at:

https://brainly.com/question/25638609

Answer:

$144

Step-by-step explanation:

Use the simple interest formula, I = prt, where I is the interest money created, p is the starting amount, r is the interest rate as a decimal, and t is the amount of time.

Plug in the original amount, interest amount, and amount of time:

I = prt

I = 450(0.08)(4)

I = 144

So, $144 in simple interest is made in 4 years

Answer:

20 feet

Step-by-step explanation:

[tex]\frac{80 feet}{40 seconds}[/tex]  = [tex]\frac{x feet}{10 seconds}[/tex]

Simplify [tex]\frac{80}{40}[/tex]

[tex]\frac{80}{40}[/tex] = [tex]\frac{2}{1}[/tex]

Every 1 second, a person will walk 2 feet.

[tex]\frac{x}{10}[/tex] = [tex]\frac{20}{10}[/tex]

X = 20 feet

Answer:

20 feet

Step-by-step explanation:

We can solve this two different ways:

The 1st and easiest way would be to first divide [tex]40/10[/tex] to get [tex]4[/tex], and then divide [tex]80/4[/tex] to get [tex]20[/tex].

This method works well in this situation because all the numbers are easily divisible, but in some situations this method may give you decimals which would make things more difficult.

In a situation like that, you would create a simple equation using this format: [tex]y=m(x)[/tex] in which [tex]y[/tex] represents the total number of feet walked, [tex]m[/tex] represents the number of seconds, and [tex]x[/tex] represents number of feet walked per minute.

You would start by finding out the number of feet walked per minute. You do this by plugging the information you know into the equation. We know that the person walks 80 feet in 40 seconds so the equation would look like this: [tex]80=40x[/tex]

To solve for [tex]x[/tex], you would then divide 40 on both sides to get [tex]2=x[/tex]

Now that we know that the person walks 2 feet every second, we can plug the information into a new equation to find out how far they go in 10 seconds. This equation will look like this: [tex]y=10(2)[/tex] and we can solve it to learn that [tex]y=20[/tex]. This means that the person will walk 20 feet in 10 seconds.

Answer:

B is the answer

Step-by-step explanation:

looking at line CF,

it is a straight line thus being 180°

the < EOD is 90° < EOF is 55°

let < COD = t

therefore,

EOD + EOF + COD = 180

90 + 55 + t = 180

taking terms

t = 180 - (90 + 55)

t = 180 - 145

t = 35

COD = 35

EOD = 90

THUS, COE = COD + EOD

COE = 35 + 90

COE. = 125

DO MARK BRAINLIEST

Answer:

Step-by-step explanation:

x = y

x² + x² = 18²

2x² = 324

x² = 162

x = √162

x = y = 9√2

Answer:

Rip dude XD Ur gonna die

Answer:

[tex]y =\frac{-1}{4}x + 4[/tex]

Step-by-step explanation:

Parallel lines have same slope

x + 4y = 28

    4y = -x + 28

     [tex]y=\frac{-1}{4}x+\frac{28}{4}\\\\y=\frac{-1}{4}x+7[/tex]

m = (-1/4) and line passes through (8 , 2)

Equation: y - y₁ = m(x - x₁)

  [tex]y - 2 = \frac{-1}{4}(x - 8)\\\\y -2 = \frac{-1}{4}x - 8*\frac{-1}{4}\\\\y -2 = \frac{-1}{4}x + 2\\\\ y = \frac{-1}{4}x + 2 +2\\\\ y =\frac{-1}{4}x + 4[/tex]

Answer:

64.8 inches, 1.8 feet

Step-by-step explanation:

5.4*12=64.8

5.4/3=1.8

Answer:

Inches: 64.8, Yards: 1.8

Step-by-step explanation:

To get inches you multiply 5.4 by 12 and you get 64.8. To get yards you divide 5.4 by 3 and you get 1.8.

Answer:

The Answer is 3 to 1 I'm 100% sure

Step-by-step explanation:

Answer:

d

Step-by-step explanation: