if G is the number of seconds that a traffic light says green and n is the average number of cars in each lane per light cycle, then the relationship would be G= 2.1n + 3.7
if the light stays green for 70 seconds then how many cars can cross the intersection in one cycle?
(linear equations)

Answers

Answer 1

Answer:

31.57 cars is the answer rounded to the hundredth, but since its cars you might want to put just 31 since half a car cant pass through. it depends on what your teacher wants really.

Step-by-step explanation:

70=2.1n+3.7

70-3.7=2.1n

66.3=2.1n

66.3/2.1=n

31.57=n


Related Questions

Given the expression below, what will the sign of the product be? Justify your answer. 4x (9) * 2.78 x (13) * (-}) *(-6.2) * (- 2873) * (31)

Answers

Answer:

i don't know ha ha ha ha sorry

What is the first step in solving 6(3x+10) = 78?


Multiply both sides of the equation by 6.


Subtract 6 from both sides of the equation.


Simplify the left side of the equal sign by distributing the 6 across (3x + 10).

Answers

Answer:

Simplify the left side of the equal sign by distributing the 6 across (3x + 10).

Step-by-step explanation:

6(3x+10) = 78

Distribute the 6

18x +60 = 78

Subtract 60 from each side

18x+60-60 = 78-60

18x = 18

Divide each side by 18

18x/18 =18/18

x =1

Answer:

3rd option

Step-by-step explanation:

Given

6(3x + 10) = 78 ← distribute the parenthesis on left side

18x + 60 = 78 ( subtract 60 from both sides )

18x = 18 ( divide both sides by 18 )

x = 1

The area of a triangle is 30 square centimeters and its base is 10 cm. What is the height in cm of the triangle

Answers

Answer:

The height of the triangle is [tex]6[/tex] cm.

Step-by-step explanation:

----------------------------------------

The formula for solving the area of a triangle is  [tex]A=\frac{1}{2}bh[/tex] where [tex]b[/tex] stands for base and [tex]h[/tex] stands for height.

Let's substitute 30 [tex]cm^2[/tex] for the area and 10 for the base.

[tex]30=\frac{1}{2} (10)h[/tex]

-------------------->>>>

Now, let's solve to find the height.

[tex]30=\frac{1}{2}(10)h[/tex]

Multiply [tex]\frac{1}{2}[/tex] times [tex]10[/tex]

[tex]30=5h[/tex]

Divide both sides by 5.

[tex]6=h[/tex]

-----------------------------------------

Hope this is helpful.

Answer:

6 cm

Step-by-step explanation:

thanks for the pts

✌️❤️✌️

If AD is 10 inches long BD is 6 inches long

Answers

Answer:

AB = 8 inches

Step-by-step explanation:

given :

AD = 10 inches

BD = 6 inches

AB = ?

using pythagoras theorem

a^2 + b^2 = c^2

BD^2 + AB^2 = AD^2

6^2 + AB^2 = 10^2

36 + AB^2 = 100

AB^2 = 100 - 36

AB^2 = 64

AB = [tex]\sqrt{64[/tex]

AB = 8

The length of the AB in the given triangle ADC such that A-B-C and DB ⊥ AC  is equal to 8 inches.

In the figure of triangle ADC ,

DB is perpendicular to AC such that A- B- C.

Measure of angle CBD = 90 degrees

This implies,

As angle ABD and CBD are linear pair

⇒ Measure of angle CBD + Measure of ABD = 180°

⇒ 90° + Measure of ABD = 180°

⇒  Measure of ABD = 180° - 90°

⇒  Measure of ABD = 90°

Now triangle ABD is right angle triangle,

AD = 10 inches

BD = 6 inches

By applying Pythagoras theorem we have,

AB² + BD²  = AD²

⇒ AB² = AD² - BD²

⇒ AB² = 10² - 6²

⇒ AB² = 100 -36

⇒ AB² = 64

⇒ AB = √64

⇒ AB = 8 inches

Therefore, the length of the AB is equal to 8 inches.

Learn more about length here

brainly.com/question/2497593

#SPJ2

In ΔMNO, m∠M = 57° and m∠N = 75°. Which list has the sides of ΔMNO in order from shortest to longest?

Answers

Answer:  Choice B

MN, NO, OM

Refer to the diagram below

=====================================================

Explanation:

M = 57 and N = 75 are the two given angles.

Angle O is the missing angle of the triangle.

Recall that for any triangle, the three inside angles always add to 180

M+N+O = 180

57+75+O = 180

132+O = 180

O = 180-132

O = 48

Angle O is 48 degrees.

Note: be sure not to mix up the letter 'oh' with the number zero. Unfortunately, they look very similar.

-------------------------

We know the following three angles of this triangle

M = 57N = 75O = 48

As a rule, the smallest side is always opposite the smallest angle. The smallest angle is O = 48, and the side opposite that is MN.

Also, the largest side is always opposite the largest angle. The largest angle is N = 75, and the side opposite that is OM

-------------------------

In short, we found that MN is the smallest side and OM is the longest side.

That must mean side NO is placed in the middle of MN and OM

So that's how we get get the answer of MN, NO, OM which is choice B.

Refer to the diagram below.

The present oge of a :b are in ratio 5: 6 three year ago , thier age were in the ratio 4:5 find there present age .

Answers

Answer:

Their present age are 15 and 18

Step-by-step explanation:

a : b = 5 : 6

[tex]\frac{a}{b} = \frac{5}{6} \\\\6a = 5b\\\\a = \frac{5b}{6} \\\\\frac{a-3}{b-3} = \frac{4}{5} \\\\5(a-3) = 4(b-3)\\\\5a - 15= 4b - 12\\\\5a - 4b = 15 - 12\\\\5a - 4b = 3\\\\substitute \ the \ value \ of \ a \ into \ the \ above \ equation;\\\\5(\frac{5b}{6} ) - 4b = 3\\\\25b - 24b = 18\\\\b = 18\\\\now, \ solve \ for \ a;\\\\a = \frac{5}{6} \times 18\\\\a = 15[/tex]

Simplify (¼)^-2 + (1/6)^-3

Answers

The simplified answer would be 232

Answer:

232

Step-by-step explanation:

In picture

Brainliest please

I really don't understand this.

Answers

Answer:

parang wla po yung answer

Step-by-step explanation:

Kinda need some help

The number 4 in 8^4 is called
the..

A)Base

B)variable

C)Exponent

D)Term

Answers

Answer:

Exponent

Step-by-step explanation:

^ means raised to the power of

The number being raised is known as the exponent

In this case it's the exponent is 4

The 4 in 8^4 is called an Exponent (C)

Help me please! Thank u

Answers

Answer:

D is correct answer to the question

Which graph shows a function whose inverse is also a function?
T
5
4
3
2
+1)
-2.-1
3
4
5
X

Answers

Answer:

hello the function graph is turned 90 degree like clock way.

All the plotted graphs represent functions whose inverse is also a function.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to find the function whose inverse is also a function.

A one to one function is a type of function whose inverse is also a function. The linear equations are one to one functions. They are of the form {y} = ax + b. This means that all of the graphs plotted represent a  function whose inverse is also a function. So, we can conclude that all the plotted graphs represent the straight line, and all of them represent functions whose inverse is also a function.

Therefore, all the plotted graphs represent functions whose inverse is also a function.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

#SPJ7

Use addition to solve the linear system of equations. Include all of your work in your final answer.x-y=4 x+2y=4

Answers

Answer:

x = 4 , y = 0

Step-by-step explanation:

x -    y = 4 --------- ( 1 )  

x + 2y = 4 -------- ( 2 )

( 1 ) x - 1 => - x + y = - 4  -------------( 3 )

( 2 )      =>    x + 2y = 4  ----------- ( 2 )

( 2 ) + ( 3 ) => 0 x  + 3y = 0

               => y = 0

Substitute y = 0 in ( 1 ) => x - y = 4

                                  => x - 0 = 4

                                        x = 4

         

Two parallel sides of a trapezium are 120 cm and 154cm and the other sides are 50 cm and 52 cm. Find the area of trapezium.

Answers

6576 cm2

See the image encrypted above.

Please help I’ll give brainliest

Answers

Answer:

367.5

Step-by-step explanation:

5x7x10.5

Answer:

367.5

Step-by-step explanation:

5 x 7 = 35

35 x 10.5 = 367.5

use the unit rate to find the number of hours it takes to fill the pool with 3,185 gallons of water

Answers

Answer:

4.9 hours

Step-by-step explanation:

3185/650 = 4.9

Its due in 20 mins
Will mark brainliest​

Answers

Answer:

a) 20 km away fro the starting point.

b) The bearing from P to R is 80°.

c) Q is 60 km North P.

d) Q is - 60 km west of P

Step-by-step explanation:

Stating Facts in the Question:

P to Q is 80 km and bearing 330°

It turned around, Q to R is 60 km and bearing 250°.

a) Picture a number line (Look at the first image)

You go 80 to the right. You turn around and go 60 to the left.

80 - 60 = 20

20 km away fro the starting point

b) Picture a number line (Look at the second image)

P to Q is bearing 330°

Q to R is 60 km is bearing 250°

P to Q is red

Q to R is blue

330° - 250° = 80°

The bearing from P to R is 80°

c) P to Q is 60 km

The plane went forward or North so the answer is 60 km.

Q is 60 km North P.

d) Q to P is 60 km

Q is not to the west of P

Q is - 60 km west of P

Please help I’ll give brainliest

Answers

Answer:

Answer is 670000 If you can please give me brainliest

11.16071428571429 rounded to 4sf

Answers

Answer:

11.16

Step-by-step explanation:

4sf=four numbers

if 0 is first number, leave it out because 0 is a significant figure

Answer:

11•16

u won't add zero because its less than 5.

Find the original price.
Original price: $_____

Discount: 20%

Sale price: $75

Answers

Answer:

$90

Step-by-step explanation:

Answer:

The original price is $93.75 if it is 20% off you will pay $75.

Step-by-step explanation:

1st.) We know the original price is considered 100%

So...Subtract the discount from the original percent.

100% (original percent)

20% (discount percent)

----

80%

2nd.) Make equation. We need the percent to be in decimal form so move the decimal point to the left two places. (80% will now equal 0.8)

0.8x=$75

0.8x/0.8=$75/0.8

x=$93.75

----------------------------

The original price is $93.75 if it is 20% off you will pay $75.

PLEASE HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

28cm^2

Step-by-step explanation:

By splitting the shape into 2 separate rectangles, you can find that they would be  6cm by 3cm and 5cm by 2cm. doing length x width on both and adding them gives 28cm.

calculate the perimeter of segment in r= 21cm, a=135​

Answers

Step-by-step explanation:

r=21cm

a=135

perimeter=2r+ar

=2×21+135×21

=42+2835

=2877cm

what is the value of f(x) = 2•2 ^x for f(-2)?

Answers

Answer:

Sorry icant help

Step-by-step explanation:

i never did this before

“HOT PIZZA” is offering a 20% discount on all its pizzas

Ali orders a pizza for the reduced price of £5.60

what was the original price of the pizza?

Answers

Answer:

p = £7.00

Step-by-step explanation:

Represent the original price by p.  Then 0.80p = £5.60, or p = £7.00.

If a price is discounted by 20%, the discounted price is (1 - 0.20), or 0.80, times the original price.

solve for x: 3(x-5)+4x-2=4​

Answers

Answer:

x = 3

Step-by-step explanation:

3(x−5)+4x−2=4

Step 1: Simplify both sides of the equation.

3(x−5)+4x−2=4

(3)(x)+(3)(−5)+4x+−2=4(Distribute)

3x+−15+4x+−2=4

(3x+4x)+(−15+−2)=4(Combine Like Terms)

7x+−17=4

7x−17=4

Step 2: Add 17 to both sides.

7x−17+17=4+17

7x=21

Step 3: Divide both sides by 7.

7x

7

=

21

7

x=3

3x-15+4x-2=4
7x-17=4
7x=-13
x=-1.86

I AM MARKING BRAINLEST IF YOU HELP ME PLEASE! Don't forget to show work :)

Answers

Answer:

x=±√7

Step-by-step explanation:

Hi there!

We're given the quadratic equation 6x²-42=0 and we need to find the roots of the equation (the values of x that make the equation true).

So we need to isolate x onto one side.

We can start by adding 42 to both sides

6x²=42

divide both sides by 6

x²=7

Now, take the square root of both sides (remember that when we take the square root, we get both POSITIVE and NEGATIVE answers).

x=√7 and x=-√7 (can be rewritten as x=±√7)

Hope this helps! :)

Answer:

Step-by-step explanation:

6x the ''2'' is supposed to be a exponent  all the time -42=0

6x2 -42 + 42=0 +42 {add 42 to both sides}

6x2=42

6x2                                    42

------fraction brackets =  ------- {divide by 6}

6                                           6

x2 =7

Worth 12 points and please actually help me

Answers

Answer:

(-3,0)

Step-by-step explanation:

Step 1 identify coordinates of A

The coordinate of A is (-6 , 2)

Step 2 apply translation by adding 3 to the x value and subtracting 2 from the y value

(-6 + 3 , 2 - 2)

Simplify

(-3 , 0)

What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?

Answers

Answer:

You would need to add the picture in order to get an answer

A square is inscribed in a circle. If the area of the square is 9 in^2, what is the ratio of the circumference of the circle to the area of the square?

Answers

Answer:

√2π / 4

Step-by-step explanation:

Prove the theorem which states that the angle subtended by a cord is twice at the centre than at the circumference

Answers

9514 1404 393

Explanation:

Given:

The attached figure showing circle O, chord BC, central angle BOC and inscribed angle BACangle BAC = α + β

Prove:

angle BOC = 2×angle BAC

Proof:

∠BOA +∠BOC +∠AOC = 360° . . . . . sum of arcs of a circle is 360°

2α +∠BOA = 180°, 2β +∠AOC = 180° . . . . . sum of triangle angles is 180°

∠BOA = 180° -2α, ∠AOC = 180° -2β . . . . solve statement 2 for central angles

(180° -2α) +∠BOC +(180° -2β) = 360° . . . . . substitute into statement 1

∠BOC = 2(α +β) . . . . . add 2α+2β-360° to both sides

∠BOC = 2×∠BAC . . . . . substitute given for α+β; the desired conclusion

Determine the number of solutions for the linear system that models this problem:
Two people are playing a game. The difference in their points is 57. When the number of points each
player has is doubled, the difference is 114. How many points does each person have?
Select one:
a. no solution
b. two solutions
c. one solution
d. infinite solutions

Answers

Answer:

it's got unlimited solutions

Step-by-step explanation:

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