A truck enters a highway at 60 mph. A car enters the highway at the same place 11 minutes later and drives 74 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck?

Answer:

See Below (Isolate the variables)

Step-by-step explanation:

13) d = 4AM solve for M

Divide both sides by 4A

[tex]\frac{d= 4AM}{4A}[/tex]

[tex]\frac{d}{4A} = M[/tex]

14) [tex]\frac{A}{6}[/tex] = f+h  solve for A

Multiply both sides by 6

A = 6( f+h)

15) h - m = qb solve for H

Add m to both sides

h - m = qb

  + m   +m

h = qb + m

Answer:

2

Step-by-step explanation:

2x^2 -3xy^3

Let x=-2 and y =-1

2 ( -2)^2 -3 (-2) (-1)^3

Using PEMDAS, we do exponents first

2 ( 4) - 3(-2) (-1)

Multiply nexy

8 - 6

2

In this question, we are required to find

[tex]2 {x}^{2} - 3x {y}^{3} [/tex]

When, x = -2 and y = -1

We just need to plug the values of x and y in the given polynomial to get our required answer.

Given, Polynomial in variable x and y,

[tex]2 {x}^{2} - 3x {y}^{3} [/tex]

Plugging values of x and y,

[tex]2 {( - 2)}^{2} - 3( - 2)( - 1) {}^{3} [/tex]

According to PEMDAS, we need to do the exponents first, So let's simplify the exponents,

[tex]2(4) - 3( - 2)( - 1)[/tex]

Opening the parantheses and finding the answer,

[tex]2 \times 4 - 3 \times - 2 \times - 1[/tex]

[tex]8 -6[/tex]

[tex] \boxed{ \red{2}}[/tex]

This is our required answer !!

#CarryOnLearning

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Answer:

[tex]\boxed {\tt 11.6 \ feet}[/tex]

Step-by-step explanation:

The area of a square can be found using the following formula.

[tex]A=s^2[/tex]

We know the area of the patio is 135 square feet. Substitute 135 ft² in for A.

[tex]135 \ ft^2=s^2[/tex]

We want to find the side length. We must isolate the variable, [tex]s[/tex]. on one side of the equation.

s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

[tex]\sqrt{135 \ ft^2} =\sqrt{s^2}[/tex]

[tex]\sqrt{135 \ ft^2} =s[/tex]

[tex]11.61895 \ ft =s[/tex]

Round to the nearest tenth. The 1 in the hundredth place tells us to leave the 6 in the tenth place.

[tex]11.6 \ ft \approx s[/tex]

Each side of the patio is about 11.6 feet.

Answer:

10,11,12

Step-by-step explanation:

10+12=22

Answer:

Sorry but this is not mathematics, if you put it in computer and technology, your question may be answered

Sorry but I can't help.

Answer:

option 1 is the correct answer

Step-by-step explanation:

since 12 is less than 20. then we will deduct -1 from y; which is 0

Answer:

12

Step-by-step explanation:

4x3=12

Step-by-step explanation:

2√48= 13.86

3√147= 36.37

Perimeter: 13.86+13.86+36.37+36.37= 100.46

Answer:addition property of equality, combine like terms, distributive property and division property of equality.

Step-by-step explanation: I took the test

Answer:

EG=55

Step-by-step explanation:

EF+FG=EG

(6x+12)+(13x+5)=29x-3

19x+17=29x-3

20=10x

2=x

29x-3

29(2)-3

58-3

55

Check

(6x+12)+(13x+5)

((6(2)+12))+((13(2)+5))

(12+12)+(26+5)

24+31

55

Answer

Kendal will be 60 meters away from the library after 80 seconds and again after 100 seconds.

Step-by-step explanation:

Let t represent time in seconds. Kendal is riding at a rate of 6 meters/second, so 6t represents the distance she can travel in t seconds.

The distance to the library is 540 meters. Because Kendal is riding toward the library, subtract 6t from 540 to find the distance between Kendal and the library before she passes it:

540 − 6t.

Kendal will be 60 meters away from the library twice, once as she approaches it and again after she passes it. The absolute value of the difference 540 − 6t represents Kendal's distance from the library. To find the time after which Kendal will be 60 meters away from the library, form an absolute value equation:

|540 − 6t| = 60.

Solve an absolute value equation by writing it as two separate linear equations and solving each one:

540 − 6t = -60 540 − 6t = 60

-6t = -600 -6t = -480

t = 100 t = 80

Let t represent time in seconds. Kendal is riding at a rate of 6 meters/second, so 6t represents the distance she can travel in t seconds.

The distance to the library is 540 meters. Because Kendal is riding toward the library, subtract 6t from 540 to find the distance between Kendal and the library before she passes it:

540 − 6t.

Kendal will be 60 meters away from the library twice, once as she approaches it and again after she passes it. The absolute value of the difference 540 − 6t represents Kendal's distance from the library. To find the time after which Kendal will be 60 meters away from the library, form an absolute value equation:

|540 − 6t| = 60.

Solve an absolute value equation by writing it as two separate linear equations and solving each one:

540 − 6t = -60 540 − 6t = 60

-6t = -600 -6t = -480

t = 100 t = 80

The answer is 80

algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Given:

Kendal is riding at a rate of 6 meters/second

The distance to the library is 540 meters.

Let x represent time in seconds

So, kendal travel = 6x

So, distance between Kendal and the library before she passes it:

=540 − 6x.

Now, Kendal will be 60 meters away from the library.

Kendal will be 60 meters away from the library

540 − 6x= 60

-6x= 60-540

-6x= -480

x= -480/-6

x= 80

Hence, the answer is 80

Learn more about algebra here:

https://brainly.com/question/24875240

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Answer:

7.390

Step-by-step explanation:

Answer:

7.39

Step-by-step explanation:

The hundredths place of 7.393 is the 9.

To round off to the nearest hundredth, drop all decimal place to the right of the hundredths place.

7.39

Since the first dropped digit to the right of the 9 is a 3, we keep the 9 as is.

Answer: 7.39

Answer:

The smallest of the integers is 7

Step-by-step explanation:

Let the integers be x, y and z

From the question, the integers are consecutive odd integers.

Hence,

If the smallest of the integers is x and the largest is z, then we can write that,

x + 2 = y and

y + 2 = z

Then, x + 2 + 2 = z

∴ x + 4 = z ....... (1)

From the question, four times the smallest decreased by 5 is the same as the largest increased by 12, that is

4x -5 = z + 12 ....... (2)

Put the value of z = x + 4 in equation (1) into equation (2),

We then get

4x - 5 = x + 4 + 12

4x - x = 4 + 12 + 5

3x = 21

x = 7

Hence, the smallest of the integers is 7

The other integers are 9 and 11 ( y= 9 and z = 11)

Answer:

[tex]x^{\frac{2}{3} }[/tex]

Step-by-step explanation:

Exponent Rules: [tex](b^m)^n = b^{mn}[/tex]

Exponent Rules: [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]

Step 1: Write expression

[tex]\frac{\sqrt[4]{x^3} }{x^{\frac{1}{12} }}[/tex]

Step 2: Rewrite radical

[tex]\frac{{(x^3)^{\frac{1}{4} }} }{x^{\frac{1}{12} }}[/tex]

Step 3: Multiply powers (numerator)

[tex]\frac{{x^{\frac{3}{4} }} }{x^{\frac{1}{12} }}[/tex]

Step 4: Subtract powers

[tex]x^{\frac{2}{3} }[/tex]

Answer:

  5

Step-by-step explanation:

Simplify the equation:

  2m -10 = -3m +15

Add 3m

  5m -10 = 15

Add 10

  5m = 25

Divide by 5

  m = 5

Answer:

y=-2/3 x +2

y=-x+2

Step-by-step explanation:

slope intercept form : y=mx+b

first find the slope :

two points from the graph : (0,2) (3,0)

y=b=2 when x=0 y = the constant b

m=(y2-y1)/(x2-x1)

m=0-2/3-0

m=-2/3

question 26: two points from graph: (0,2),(1,1)

b=2 ( when x=0, y=b=2)

m=1-2/1-0

m=-1

Answer:

Step-by-step explanation:

Sum of measures of angles in any triangle is 180°

The maesure of right angle is 90°

So:  m∠EFD = 180° - 90° - 57° = 33°

Answer:

60yd

Step-by-step explanation:

First you multiply 3yd, and 6yd to get the area of 18 yards.

Second, you multiply the length of the triangle, so 6*7 is 42.

Finally you add both of the areas together to get the area of the full shape.

Answer:

22

Step-by-step explanation:

5/3=x-4/2

10=x-12

x=22

Answer:

[tex]3 \frac{2}{3}[/tex]

Step-by-step explanation:

5/3 = x - 4/2

5/3 + 4/2 = x

11/3 = x

x = 3 2/3

Answer:

A+3B=4+5r

Step-by-step explanation:

Given that,

A = 1+r+7r

B = 1-r

We need to find an expression that is equal to A+3B.

Putting the values of A and B in A+3B, we get :

A+3B = 1+r+7r + 3(1-r)

=1+8r+3-3r

=(1+3) +(8r-3r)

=4+5r

Hence, the values of A+3B equals 4+5r.

Answer:

Hi there

Step-by-step explanation:

A linear function is a type of function and so must follow certain rules to be classified as a “function”. For example, functions can only have one output for each input. On the other hand, equations are just statements that make two things equal, like x = y or 52x = 100.

~Your Welcome! :)

Answer:

1. 0.9544

2. 0.0228

3. 0.0228

Step-by-step explanation:

The computation is shown below;

As we know that

At Normal distribution

[tex]P(X < A) = P(Z < \frac{(A - mean)}{standard deviation})[/tex]

As per the question, the data provided is as follows

Mean = 24.4 minutes

Standard deviation = 6.5 minutes

Based on the above information

P(11.4 < X < 37.4) = P(X < 37.4) - P(X < 11.4)

= P(Z < (37.4 - 24.4) ÷ 6.5) - P(Z < (11.4 - 24.4) ÷ 6.5)

= P(Z < 2) - P(Z < -2)

= 0.9772 - 0.0228

= 0.9544

2. P(X < 11.4) = 0.0228

3. P(X ≥ 37.4) = 1 - P(X < 37.4)

= 1 - 0.9772

= 0.0228

Answer:

1) Linear Pair

2) Adjacent

3) Complmentary

4) Vertical

Answer:

7212.53, i belive

Step-by-step explanation:

56 x 6.33 = 354.48

91 x 2.85 = 259.35

259.35 + 354.48 = 613.83

1547.76 - 613.83 = 933.93

6278.60 + 933.93 = 7212.53

Answer:

draw a girl and a boy with a son or a daughter and you got a proptional relationship

Step-by-step explanation:

Answer:

9178.5

Step-by-step explanation:

Follow PemDas

From Left to Right, you multiply 87 x 422, which is 36,714

Then, thake that number and divide it by 4, giving you 9,178.5

Answer:

74, 138

Step-by-step explanation:

The numbers seem to be increasing by powers of 2. 14 - 12 = 2 = 2¹, 18 - 14 = 4 = 2², etc. Therefore, the next 2 numbers would be 42 + 2⁵ = 74 and 74 + 2⁶ = 138.

Answer:

7.2*10⁶

Step-by-step explanation:

0.0000072 =  7.2*10⁶

Answer: x= 17°

Step-by-step explanation:

The interior angle of a triangle adds up to 180 degrees. It indicates that it is a right triangle so it already has a 90 degree angle  and if you add it to the two other angles they have to equal 180 degrees.  

(2x + 4 ) ( 3x + 1) + 90 = 180  

5x + 95 = 180

    -95       -95

5x = 85

x = 17

Answer:

see explanation

Step-by-step explanation:

Given the points (a, c ) and (b, c )

Since the y- coordinates are equal the distance formula simplifies to

d = [tex]\sqrt{(x_{2}-x_{1})^2 }[/tex]

with x₁ = a and x₂ = b

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