Mathematics College

every 3 out of 12 vehicles on a highway is a truck. How many trucks are expected to be on the highway with 3600 vehicles

Answers

Answer 1

Answer:

900 trucks on a highway with 3600 vehicles

Step-by-step explanation:

3 out of 12 is also 1/4 (one quarter)

so 3600 ÷ 4 = 900 trucks on a highway with 3600 vehicles

hope this helps :))

Related Questions

What are the zeros of this function?
5
O A. x = 0 and x = 2
O B. x = 0 and x = -4
O c. x= 0 and x = 4
O D. x = 2 and x = -4
PLEASE HELPPP
THANK YOUUU

Answers

Answer:

At origin x-axis and y-axis are Zeros and when the the will at x-axis then y-axis wil zero so,

C is the right answer

How do I do this question

Answers

Here is the solution

Answer:

Step-by-step explanation:

(a). sin2x + sinx = 0 ( 0 ≤ x ≤ 2π )

sin2x = 2sinx(cosx)

2 ( sin x )( cos x ) + sin x = 0

sin x ( 2 cos x + 1 ) = 0

sin x = 0 ⇒ x = 0 , [tex]\pi[/tex] , [tex]2\pi[/tex]

2 cos x = - 1

cos x = [tex]-\frac{1}{2}[/tex] ⇒ x = [tex]\frac{2\pi }{3}[/tex] , [tex]\frac{4\pi }{3}[/tex]

x ∈ { 0 , [tex]\frac{2\pi }{3}[/tex] , [tex]\pi[/tex] , [tex]\frac{4\pi }{3}[/tex] , [tex]2\pi[/tex] }

(b). sin 2x - 2 cos x = 0 ( 0 ≤ x ≤ 2π )

2 cos x ( sin x - 1 ) = 0

cos x = 0 ⇒ x = [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex]

sin x = 1 ⇒ x = [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex]

x ∈ { [tex]\frac{\pi }{2}[/tex] , [tex]\frac{3\pi }{2}[/tex] }

I have taken a picture for easier access.

Answers

Honestly, I don’t know the answer. Sorry. Better luck next time. Because of it being so hard.

An ellipse has vertices along the major axis at (0,1) and (0,-9). The foci of the ellipse are located at (0,-1) and (0,-7). The equation of the ellipse is the form below. (y-k)^2/a^2 + (x-h)^2/b^2 = 1 Which is a correct value for one of the variables shown in the equation?
a = 10
b = 4
h = 3
k = 0

Answers

The equation of the ellipse in standard form with vertices along the major axis at (0, 1) and (0, -9) and the foci of the ellipse at (0, -1) and (0, -7) is (y+4)²/16 + x²/25 = 1.

How to derive an equation of the ellipse based on the information of the major axis and foci

The location of the center of the ellipse is the midpoint of the line segment between the ends of the major axis, that is:

(h, k) = 0.5 · (0, 1) + 0.5 · (0, -9)

(h, k) = (0, -4)

The length of the major semiaxis (b) is 5 and the distance between the center and any of the foci (c) is 3. Then, the length of the minor semiaxis is:

[tex]a = \sqrt{b^{2}-c^{2}}[/tex] (1)

a = 4

Lastly, we substitute all the variables and conclude that the equation of the ellipse is (y+4)²/16 + x²/25 = 1. [tex]\blacksquare[/tex]

To learn more on ellipses, we kindly invite to check this verified question: https://brainly.com/question/14281133

Answer:

A=10

Step-by-step explanation:

Got it right on Edge2022

Question 3 of 10
If f(x) = 2x2 + 1 and g(x) = x2 - 7, find (f + g)(x).
O A. 3x2 + 8
O B. x + 8
O C. 3x2 - 6
D. x2 - 6

Answers

Answer:

C. 3x^2 -6

Step-by-step explanation:

f(x) = 2x^2 +1

g(x) = x^2 -7

(f+g)(x) is simply the sum of the above functions.

(f+g)(x) = 2x^2 +1 + x^2 -7 = 3x^2 -6

please help me with this graph problem. NO LINKS!!!

Answers

Step-by-step explanation:

Eric runs for 4 min and walks for 8 min.

The distance covered is

4*200 + 8*80 = 800 + 640 = 1440

The goal of 1600 m is not met, needs additional 160 m

The equation of distance is

d = 200x + 80y

For d = 1600, the equation is

200x + 80y = 1600

Simplified form of it

2.5x + y = 20

Some combinations of x and y to make the equation right

x = 2, y = 15x = 4, y = 10x = 6, y = 5

See the attached graph for more combinations, where the first coordinate represents running time and the second coordinate - walking time

Answer:

Part (a)

Given:

Average running speed = 200 m/minAverage walking speed = 80 m/min

If Eric runs for 4 minutes ⇒ 200 x 4 = 800 m

If Eric walks for 8 minutes ⇒ 80 x 8 = 640 m

Total distance covered = 800 + 640 = 1440 m

Therefore, he is 160 m away from his 1600 m goal.

Part (b)

Let x = number of minutes Eric runs

Let y = number of minutes Eric walks

Let d = total distance Eric covers

Equation: d = 200x + 80y

Part (c)

Set d = 1600, then rewrite to make y the subject:

200x + 80y = 1600

⇒ 5x + 2y = 40

⇒ 2y = 40 - 5x

⇒ y = 20 - 2.5x

Now find ordered pairs (points on the line):

x-intercept (y = 0): 20 - 2.5x = 0 ⇒ x = 8 ⇒ (8, 0)y-intercept (x = 0): 20 - 2.5(0) = 20 ⇒ (0, 20)when x = 4: 20 - 2.5(4) = 10 ⇒ (4, 10)

Part (d)

Plot (8, 0) (0, 20) and (4, 10) and connect with a straight line.

(see attached graph)

From inspection of the graph, other combinations of running and walking times for which Eric would cover 1600 meters are:

2 minutes running, 15 minutes walking6 minutes running, 5 minutes walking

ASAP . Solve and graph each inequality

Answers

x less than or equal to-24

Answer:

x less than or equal to -24

graph attached

Step-by-step explanation:

attached in image

Please help on math.

Answers

Answers

Answer:

$189.20

Step-by-step explanation:

Since 12% off is the same thing as 88% of the original value, then you can simply multiply 215 by 0.88. This results in 189.2.

Answer:

$189.2

please make this answer brainliest If I helped you!

Evaluate 1/2x^4-1/4x^2 for x=2

Answers

Answer:

Step-by-step explanation:

To evaluate an expression given a valeu means to substitute the value in. So :

1/2(2)^4 - 1/4(2)²

First we do powers since we follow BODMAS/BIDMAS :

1/2(16) - 1/4(4)

Now we do multiplication:

8 - 1

Now we do the only step left of simplification through subtraction:

8 - 1 = 7

Hope this helped and brainliest please

The value of (1/2)x⁴ - (1/4)x² when x = 2 is 7.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is (1/2)x⁴ - (1/4)x².

We have to calculate the value of the expression when x = 2.

Substitute x = 2 in the expression.

(1/2)x⁴ - (1/4)x² = (1/2) (2)⁴ - (1/4) (2)²

= (1/2) × 16 - (1/4) × 4

= 16/2 - 4/4

= 8 - 1

= 7

Hence the value of the expression when x = 2 is 7.

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Question 1: Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive? Your response should include: The answer to how much money Trevon received AND your reasoning for your answer, with a focus on writing as complete of sentences as you can.

Question 2: Jenny wants to buy a game that costs $30.98. How much change does she receive if she gives the cashier $40?Your response should include: The answer to how much change Jenny will receive back AND your reasoning for your answer, with a focus on writing as complete of sentences as you can.

I WILL CHECK BEFORE GIVING POINTS, I REALLY NEED THIS THANK YOU :)

Answers

Answer ¹ ↷$ 12

Solution ↷

The amount of money Trevon had last Friday⇢$29

The total amount of money he has after cleaning the attic⇢$41

So,

The amount of money he received after cleaning the attic ⇢ Total money he has after cleaning the attic - The money he had last Friday

⇢ $41-$29⇢$12

Thus ,he received $ 12 for cleaning up the attic.

Answer²↷$9.02Solution ↷

The cost of the game ⇢$30.98

The amount of money she gave to the cashier ⇢$40

The amount she'll receive back⇢ the amount of money she gave to the cashier - the cost of the game

⇢$ 40 - $ 30.98⇢$ 9.02

Hence , she'll receive $ 9.02 back from the cashier.

Answer:

Question 1

Given:

Last Friday Trevon had $29He received money for cleaning the atticHe now has $41

To calculate the money Trevon received for cleaning the attic over the weekend, we need to find the difference between the money he started with and the money he now has. To find the difference, subtract the smaller number from the bigger number:

⇒ Money Trevon received = Money he has now - money on Friday

= $41 - $29

= $12

Therefore, Trevon received $12 for cleaning the attic over the weekend.

Question 2

Given:

Cost of game = $30.98Money gave the cashier = $40

To calculate the change Jenny received from the cashier, we need to find the difference between the two amounts. To find the difference, subtract the cost of the game from the money Jenny gave to the cashier:

⇒ Change = money given - cost of game

= $40 - $30.98

= $9.02

Therefore, Jenny received $9.02 in change from the cashier after paying for a game that costs $30.98 with $40.

Complete the ratio that can be used to solve this problem. 15 points

Answers

No I won’t because I just need the points

5. John is tiling the living room floor of his home. The living room is a rectangular shape
room that is 10 ft. 9in, by 15ft. 3 in.

a. What is the perimeter of the room?

B. How many 6in by 6in square tiles are required to cover the floor?

C. Calculate 10% of the answer from
Part b (this accounts for the overage due to grout and waste)

Answers

B is the correct answer

The perimeter of the room is 624 inches.

We need 657 tiles to cover the floor.

We need to add 66 extra tiles to account for the overage due to grout and waste.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

Length = 10 ft 9in

Width = 15ft 3 in

Perimeter = 2 (Length + Width)

Length = 10 ft 9 in = (10 x 12) + 9 = 129 in.

Width = 15 ft. 3 in. = (15 x 12) + 3 = 183 in

Perimeter.

= 2(129 + 183)

= 624 in.

Area = Length x Width

Area = 129 in. x 183 in

Area == 23,607 in²

Each tile covers an area of 6 in. x 6 in

Area of tiles = 36 in²

So,

The number of tiles required.

= Area ÷ Tile area

= 23,607 in² ÷ 36 in²

≈ 656.3 tiles.

10% of 657

= 10/100 x 657

= 0.1 x 657

= 65.7

= 66

Thus,

The perimeter of the room is 624 inches.

We need 657 tiles to cover the floor.

We need to add 66 extra tiles to account for the overage due to grout and waste.

Learn more about rectangles here:

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4. In the figure below, rays KV and JP intersect at point M
K
Р
M
Which expression has a value that is equal to MPMV?
A 180° (MLKJM M JKM)
B 180° - (m_KJM
-
m/KMJ)
C 180°
(m. JMK)
D 180°
(m/JKM)

Answers

The intersection of the rays KV and JP would create vertical angles

The expressions that have the equal values as PMV are KMJ, 180 - JMV and 180 - PMK

How to determine the expression with equal value?

The rays are given as:

Rays KV and JP

The point of intersection is given as:

Point M

When the rays KV and JP intersect at point M, the following angles are created

KMJ, JMV, PMV and PMK

Such that:

KMJ and PMV are vertical angles JMV and PMK are vertical angles

The above means that angles KMJ and PMV are equal and

PMV = 180 - JMV

PMV = 180 - PMK

Hence, the expressions that have the equal values as PMV are KMJ, 180 - JMV and 180 - PMK

Answers

Answer:

y = 2

Step-by-step explanation:

Given equation:

[tex]2y - 5 = 5y - 11[/tex]

Subtract 5y both sides:

[tex]\implies 2y - 5 = 5y - 11[/tex]

[tex]\implies 2y - 5 - 5y = 5y - 5y - 11[/tex]

[tex]\implies -3y - 5 = -11[/tex]

Add 5 both sides:

[tex]\implies -3y - 5 = -11[/tex]

[tex]\implies -3y - 5 + 5 = -11 + 5[/tex]

[tex]\implies -3y = -6[/tex]

Multiply -1 both sides:

[tex]\implies -3y = -6[/tex]

[tex]\implies \dfrac{-3y}{-1} = \dfrac{-6}{-1}[/tex]

[tex]\implies 3y = 6[/tex]

Divide 3 both sides:

[tex]\implies 3y = 6[/tex]

[tex]\implies \dfrac{3y}{3} = \dfrac{6}{3}[/tex]

[tex]\implies \boxed{y = 2}[/tex]

HELP PLEASE HELP ME PLEASE

Answers

Answer:

I THINK THR ANSWER IS A !

Answer:

1. U should know what the median is the median is the middle.

2. The interquartile range is when u subtract the 1 and 3 meidan.

3. The rang is when u subtract the biggest number from the smalest number.

Step-by-step explanation:

I hope this helped u . If not than please ask me.

can some one tell me the answet

Answers

25-5 = 20$
20/4= 5
each eraser also cost 5$

4\5 divided by 3\7 what is the answer

Answers

Answer:
15/28

Explanation:
4/5 divided by 3/7 means 3/7 multiply 5/4, so the answer is 15/28.

to find:

4\5 divided by 3\7

solution:

4/5 ÷ 3/7

4 = dividend numerator

5 = dividend denominator

3 = divisor numerator

7 = divisor denominator

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

you multiply the dividend denominator by the divisor numerator to make a new denominator:

4 × 7/ 5 × 3

= 28/15

Thus, the answer to 4/5 divided by 3/7 in fraction form is 28/15.

Find the volume of the figure?

Answers

Answer:

Make two piece of this figure

Step-by-step explanation:

then use formula of v = l × b × h

Explain how to find if the value of the expression if between 0 and 1. Do you have to find the exact value of the expression?

Answers

The statement that determines if an expression has its value between 0 and 1 is the IF conditional statement

How to determine the value of the expression?

To find if the value of an expression is between 0 and 1, we make use of an IF conditional statement

Assume the programming language is Python, and the expression is represented by the variable x.

The statement that determines the range of the expression is:

if x >= 0 and x <= 1

Read more about if conditional statement at:

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A square pyramid has a height of 6 units and a volume of 70 units. If a square prisn
has the same base area and volume as the square pyramid, what is its height?
O2 2 units
4 units
6 units
08 8 units

Answers

Answer:

6 units

Step-by-step explanation:

Volume of square pyramid is

1/3 * base area * height

For the first pyramid

70 = 1/3 * base * 6

base = 35

For the second pyramid

70 = 1/3 * 35 * h

h = 6

The sum of two numbers is 143 and their difference is 7. What are the numbers?

Answers

Answer:

The numbers are 75,68

Step-by-step explanation:

Let the number be a ,b

The sum of two numbers is 143

⇒ x + y = 143 -------------(I)

Their difference is 7

⇒ x - y = 7 --------------(II)

Add the equation (I) & (II) and thus y will be eliminated and we can find the value of x

(I) x + y = 143

(II) x - y = 7 {Now add}

2x = 150

x = 150 ÷ 2

x = 75

Substitue x = 75 in equaion (I)

75 + y =143

y = 143 - 75

y = 68

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