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

Please help me out with this picture.(#3a, #3b, and #3c)

Answers

Answer:

all are in the picture I attached

Step-by-step explanation:

hope this helps

Write the equation of the line that is parallel to the line y= 3x+ 6 and passes through the point (4, 7).

Answers

Answer:

Is this slope?

Step-by-step explanation:

Answer:

y = 3x - 5

Step-by-step explanation:

Let the equation be y = mx + c

Since the equation is parallel to y = 3x + 6, gradients of the two eqns are the same

therefore, m = 3

sub (4, 7):

7 = 3(4) + c

c = -5

therefore, equation of the line is y = 3x - 5

Solve for y in terms of x: 3x = 15-5y


Helppp

Answers

5y=15-3x
y=3-3/5x
hope it helps:):)

Answer:

Step-by-step explanation:

3x =15-5y

Add 5y and subtract 3x on both sides

5y=15-3x

y=(15-3x)/5

Use the original price and the markup to find the retail price.
Original price: $42; Markup: 7.5%

Answers

Answer:

$45.15

Step-by-step explanation:

$42*107.5%

=$45.15

PLS GIVE BRAINLIEST

Answer:

45.15

Step-by-step explanation:

Take 100% (Original Price) and add the 7.5, Aka 107.5.

Multiply the price (42) and the percent that you just got, 107.5%.

Use the percent sign!!!

The answer then should be 45.15

A survey was conducted to see how many people ride a bus to school everyday. 160 people reported that they ride the bus to school everyday. This number represents 80% of the people surveyed how many people were surveyed.

Answers

Answer:

200

Step-by-step explanation:

160/x=80/100 find x by cross multiplying meaning 80x=16000

16000/80=x

How do I do this? And what’s the answer??

Answers

Answer:

its asking you what the slope of the line is (rise/run) and for the point at which the line crosses the y axis (verticle line)

Step-by-step explanation:

When finding the slope you count the number of units up and the number of units across. This would be -1/1 or -1 because the graph shows a scale of 100, and the slope is going down 100, and across 100. this makes the slope negative since it's going downwards. so the slope would be -100/100 which would simplify to -1.

the y-intercept is where the line crosses the y axis. if this point is below the x-axis, then the y-intercept would be negative. in this problem however, the line crosses the y-axis at the origin (0,0)

so your equation would be y=1x+0, but simplified it would be y=x (the one isnt used because there is a single x value and the +0 is gone because it holds no value)

Can someone help me please

Answers

Answer:

x = 69

Step-by-step explanation:

x+x+(x-27) = 180

3x = 207

x = 69

My last question!!!! But what does it mean? Please help!

Answers

Answer:

The First Option is Correct.

Step-by-step explanation:

[tex]d \geq 99[/tex]

twice as many dimes as quarters I have a $1.80 total how many dimes do I have ​

Answers

Answer:

The answer is 8 dimes

Step-by-step explanation:

4 quarters x 2 = 8

8 dimes

1.00 + 0.80 = $1.80

Calculate the variance of the following set of data.

3, 33, 303, 233, 3, 73, 83, 63

Answers

Answer:

its 12084

Step-by-step explanation:

on my test

Variance is the measurement of the spread between numbers in a given set of data.

The variance for the set is 12083.929

What is a variance?

It is the measurement of the spread between numbers in a given set of data.

We have,

3, 33, 303, 233, 3, 73, 83, 63

The formula to find variance:

Find the means of the set of data.

Find the deviation of the set of data from the mean.

Find the sum of the squares of the mean deviations.

Divide the sum of the squares of the mean deviations by (n-1)

where n is the number of data in the set.

The mean:

= (3 + 33 + 303 + 233 + 3 + 73 + 83 + 63) / 8

= 794/8

= 99.25

Deviation from the mean:

3 - 99.25 = -96.25

33 - 99.25 = -66.25

303 - 99.25 = 203.75

3 - 99.24 = -96.25

73 - 99.25 = -26.25

83 - 99.25 = -16.25

63 - 99.25 = -36.25

The sum of the squares of Mean deviation:

= 9264 + 4389 + 41514 + 9264 + 689 + 264 + 1314

= 84587.5

The variance:

= 84587.5 ÷ (8 - 1)

= 84587.5 / 7
= 12083.929

Thus,

The variance for the set is 12083.929

Learn more about variance here:

https://brainly.com/question/13708253

#SPJ2

Any help would be appreciated!
7/9+ 8/9 as a mixed number

Answers

Answer:

15/9 :))

is your answerrr

Answer:

15/9

Step-by-step explanation:

For this all you have to do is add the numerators.

So 7 + 8 = 15

The number is 15/9

Hope this helps ya!!

How can you find the slope from a table?

Answers

Answer:

you find slope from a table by taking any two points. the left side is the input of the table, the x, and the right side is the output the y. whenever you're finding the points to do slope, they must be correlated.

__x__|__y__

___2_|__4___

__3__|___6__

so if you want to choose 2 for the x input then you must choose the 4 as the y output.

After choosing the two points, (2,4) and (3,6), you need to find the slope which is y-y/x-x. so in this case it's 6-4/3-2. after subtracting you get, 2/1 which if you simplify, it's 2. Or you divide which is also 2. I hope this helped.

Plz give me brainliest!

Step-by-step explanation:

10+10*10-100 try to do it

Answers

Answer:

the correct answer is 10 have a brilliantaa day

Step-by-step explanation:

4. Estimate.
12 x 11
36 x 29
84 x 27

Answers

Step-by-step explanation:

12*11=132

36*29=1044

84*27=2268

which is greater 3/10 or 3%

Answers

3% = 3/100
hence 3/10 is greater
3/10 is greater than 3% because it is

The sum of the digits of a certain two digit number is 8. By reversing the digits the number is increased by 18. What is the number?

Answers

6 and 2
Hope this helps

how to check the answer of x over -4 + 3 = - 7​

Answers

Answer:

[tex]\frac{x}{4} + 3 = -7\\\\\frac{x}{4} = -10\\\\x = -40[/tex]

The ratio of boys to girls at a movie is 3:4 . If there are 16 girls ​, how many boys are at the​ movie?

Answers

Answer:

12 boys

Step-by-step explanation:

Set up a proportion: [tex]\frac{3}{4} = \frac{x}{16}[/tex]  Cross multiply, then divide: 3 × 16 = 48, 48 ÷ 4 = 12

I hope this helps!

Answer:

12

Step-by-step explanation:

Can someone please find out what x is?

Answers

The answer would be x=2

Answer: x = 2

Simplify and Distribute

(−5)(4x)+(−5)(−2)=(−2)(3)+(−2)(6x)

−20x+10=−6+−12x

−20x+10=−12x−6

Adding 12x both sides.

−20x+10+12x=−12x−6+12x

−8x+10=−6

Subtract 10 both sides

−8x+10−10=−6−10

-8x = -16

Then divide both sides by 8

-8x/8 = -16/8

x=2

determine whether the relation is a function

Answers

Answer:

Step-by-step explanation:

16). The relation is a function.

17). The relation is a function.

Plzzzzz Help!!!!Find an equation for the perpendicular bisector of the line segment whose endpoints are (8,4) and (4,-4)

Answers

Answer:

y = 2x -12  to find any equation to the perpendicular line  x=0

Step-by-step explanation:

find the slope to the original line using the slope formula , then take the opposite reciprocal = -1/2

What must be true in order for two triangles to be similar?

Answers

Answer:

All their angles must be equal and of the same ratio.

Step-by-step explanation:

Answer:

Equal Angles/Equal sides

Step-by-step explanation:

PLEASE I NEED HELP
Factor out the coefficient of the variable.

The expression 3/8d+3/4 factored is

Answers

Answer:

9

Step-by-step explanation:

Select the transformations of g(x) = |- 2x + 6| in relation to the parent function.
A) Translated right 3 units
B) Translated left 3 units
C) Reflected over y-axis
D) Reflected over x-axis
E) Vertical Stretch
F) Horizontal Compression

Answers

B) Reflection over the y-axis
F) Horizontal compression

The transformations of g(x) = |- 2x + 6| in relation to the parent function will be Translated right 3 units and Vertical Stretch. Then the correct option is A and E.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The absolute function is given as,

y = |-2x + 6|

Simplify the equation, then we have

y = |-2x + 6|

y = 2|x - 3|

The transformations of g(x) = |- 2x + 6| in relation to the parent function will be Translated right 3 units and Vertical Stretch. Then the correct option is A and E.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Find the volume of a cylinder with a height of 8cm and a radius of 3cm

Answers

Answer:

V≈226.19cm³

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

V = (pie) * 3 *3 * 8

V = 72 pie cm (3)

Its on a p e x

What is the solution to −(6m + 8) = 4(17 − m)?

Answers

Answer:

m= -38

Step-by-step explanation:

-(6m+8)=4(17-m)

-6m-8=68-4m

-6m+4m-8=68

-2m-8+8=68+8

-2m=76

-2m/-2=76/-2

m= -38

FOR 50 OR 100 POINTS! A bag is filled with small and large marbles. The ratio of small to large marbles is 1:3. On your own sheet of paper, draw a tape diagram to represent this situation.


If there are eight more large marbles than small marbles, how many total marbles are in the bag?

Answers

Answer:

4:12

4 small

8 large

16 marbles total

Answer:

4:12

Step-by-step explanation:

find the length of side BD round your answer to the nearest hundred

Answers

Answer:

The length of side BD is 4.62 units to the nearest hundredth

Step-by-step explanation:

In Δ ABC

∵ m∠ABC = 90°

∵ BD ⊥ AC

AB × BC = BD × AC

∵ AB = 12 units

∵ BC = 5 units

∵ AC = 13 units

→ Substitute them in the equation above

12 × 5 = BD × 13

∴ 60 = 13 BD

→ Divide both sides by 13 to find BD

∴ 4.615384615 = BD

→ Round it to the nearest hundredth

BD = 4.62 units

The length of side BD is 4.62 units to the nearest hundredth

the sum of two numbers is 52 the larger number is 4 more than 2 times the smaller number find both numbers let x be the smaller number

Answers

Answer:

Smallno. =16

Bug no. =36

Step-by-step explanation:

Y=big number

X=small number

X+Y=52

Y=2X+4

Substitute

X+2X+4=52

3X=48

X=16(small no.)

Y=36(large no.)

Checking:

36+16=52(yay correct)

36=(2*16)+4 (coorrectoo!)

Hope this helps!

CAN ANYONE DO IT PLEASE.

Answers

Answer:

85°

Step-by-step explanation:

see attached image

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