Write System of Equations from Context

Mason owns a trucking company. For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 30 miles per hour and Mason's total expenses for the driver, gas and truck maintenance were $258. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.

Answer:

115% = 85.10

divide both sides by 115 to find 1%

1% = 0.74

now multiply both sides by 100 to find 100%

100% = 74

cost price = $74

Answer: a₉ = 327,680

Step-by-step explanation:

This seems to be a geometric sequence.

The recursive relation for this type of sequence is:

aₙ = aₙ₋₁*r

Where r is a constant.

Then we also have:

aₙ/aₙ₋₁ = r.

then we can find the value of r if we take the quotient of different consecutive terms, for example, the quotient of the second and firs term is:

r = 20/5 = 4

And the quotient between the third and second term is:

r = 80/20 = 4

Then we can conclude that r  = 4.

And also, the n-th term of this sequence can be written as:

aₙ = a₁*r^(n - 1)

such that:

a₁ = 5

r = 4

Then the n-th term of this sequence is:

aₙ = 5*(4)^(n - 1)

Then the term a₉ can be found if we just replace n by 9 in the above equation:

a₉ = 5*(4)^(9 - 1) = 5*(4)^(8) = 327,580

Answer:

each container will hold 0.833 pounds

Step-by-step explanation:

pls mark me brainliest

Answer:

6

Step-by-step explanation:

you want to create two equations for each situation so if v=number of students that can fit in a van and c=number of students that can fit in a car then you can create the equations 3v+1c=22 and 2v+4c=28

then you want to make both equations equal to c

so for the first one you subtract both sides by 3v and you get c= -3v+22

and for the second one you subtract 2v from both sides and end up with 4c=-2v+28 and then divide both sides by 4 leaving you with c= -1/2v+7

then you make both of those equations equal to each other and solve for v

so -3v+22= -1/2v+7 and you end up with v=6

therefore, each van can hold 6 students

Answer:

and in other pic its me .....lol

Answer:

68°

Step-by-step explanation:

22°+68°=90° ......

Answer: B

Step-by-step explanation: this one

Answer:

Step-by-step explanation:

put Distance in the Y-axis and put Time in the x-axis

Answer:

b) Use the distributive property to get 4c-12=8

c) Divide both sides by 4 to get c-3=2

Step-by-step explanation:

Solve the equation 4(c-3)=8

What are two ways to start solving this equation?

We are given the Equation

4(c - 3) = 8

The two ways to start solving this Equation is given as:

1. 4(c - 3) = 8

We expand the brackets, using Distributive property

4c - 12 = 8

Or

2. 4(c - 3) = 8

Divide both sides by 4

4(c - 3)/4 = 8/4

c - 3 = 2

Therefore, options b and c is correct

Answer: 44 + 44 = 88

Step-by-step explanation: You may not see it but, if you line them up like this 4 4 4 4 you see 44 44. So 44 + 44 + 88

The gazebo with the longest side length is the heptagon.

A heptagon is a polygon with 7 sides. It has 7 edges and vertices.

The length of the side of a heptagon = (area of the heptagon x 2) / (number of sides x length of the apothem)

= (623.5 x 2) / (7 x 13.6)

= 1247 / 95.2

= 13.1 feet

A octagon is a polygon with 8 sides. It has 8 edges and vertices. The sum of internal angles in 135 degrees.

The length of the side of a octagon = (area of the octagon x 2) / (number of sides x length of the apothem)

= (517.8 x 2) / (12.5 x 8)

= 1035.6 / 100

= 10.356 feet

To learn more about an octagon, please check: https://brainly.com/question/12080203

Answer:

Side Side Side the last option

Step-by-step explanation:

Answer:

B, 1/5

Step-by-step explanation:

Because 2/5 + 2/5 = 4/5 so 5/5 - 4/5 = 1/5 so the answer would be 1/5

Answer:

459

Step-by-step explanation:

27 x 17= 459

Answer:

Easy:

y = -3x + 3

Step-by-step explanation:

y + 3 = -3 ( x - 2 )

= y + 3 = -3x + 6

= y + 3 - 3 = -3 x + 6 - 3

= y = -3x + 3

If anyone else needs help with q's like this, I would love to help. They're rlly easy for me!

Answer: The winning order is:

Spike

Boris

Percival.

Step-by-step explanation:

We can write the number of steps that each one did as linear relationships of the form:

y = a*x + b

where:

a represents the slope, in this case, is the velocity of each kid.

x represents the time

b represents the steep at which each one starts.

We know that the race is completed with 99 steps.

Now, we know that in one unit of time (we do not know how long this is, and this does not matter).

Boris can run 5 steps in one unit of time

Spike can run 4 steps in one unit of time

Percival can run 3 steps in one unit of time.

Now let's write the equations for each one.

B(x) will be Boris's equation, we know that he starts from the bottom, then his equation is:

B(x) = 5*x + 0

B(x) = 5*x

Now we can find the number x needed to reach the 99 step, this is:

B(x) = 99 = 5*x

99/5 = x = 19.8

Boris needs 19.8 units of time to finish the race.

S(x) will be the equation for Spike, we know that he starts 21 steps up, then his equation is:

S(x) = 4*x + 21

Let's find the value of x such that S(x) = 99

S(x) = 99 = 4*x + 21

99 - 21 = 4*x

78 = 4*x

78/4 = x = 19.5

So Spike needs 19.5 units of time to finish the race, so he needs less time than Boris, this means that he finishes before Boris.

P(x) is the equation for Percival, we know that he starts 38 steps up, then his equation is:

P(x) = 3*x + 38

Again, we want to find the value of x such that P(x) = 99

P(x) = 99 = 3*x + 39

99 - 38 = 3*x

61 = 3*x

61/3 = x = 20.33

So Percival needs 20.33 units of time to finish the race, he is the one that needs more time, so he will be the last one to finish.

The winning order is:

Spike

Boris

Percival.

Answer:

H=2L

Step-by-step explanation:

In one hour= CHandler can mow 2 lawns

1H=2L

H=2L

Answer:

L = 2 x H

H = 1/2 x L

Step-by-step explanation:

Answer:

C:  y = 2(x - 4) - 2

Step-by-step explanation:

The vertex formula of a quadratic is y - k = m(x - h).  

Here the vertex is at (4, -2), and so we now have y + 2 = a(x - 4).

Find a:  letting y = 0 and x = 5, we get 0 + 2 = a(5 - 4), which means a  = 2.

The desired equation is C:  y = 2(x - 4) - 2

Answer:

Step-by-step explanation:

1. rational

2.inrational

3.in

4. rational

5. in

edge 2021

The answer to this question is option c. A fallacy is a deceptive argument. It is an argument in which the conclusion is not well supported by the premises.

A fallacy is a false or untrue statement. The argument in a fallacy is deceptive because the reasoning behind it makes the argument invalid.

A fallacious argument is an argument that is actually different from what it presents itself to be.

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Answer:

26x2,

52xπ

Step-by-step explanation:

The perimeter of this semi-circle with a radius of 26 cm will be 81.64 cm.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let 'r' be the radius of the circle. The circumference of the circle will be

C = 2πr units

The radius of the semicircle is given as,

r = 26 cm

Then the circumference of the semicircle is half of the circle. Then we have

C = 1/2 x 2πr

C = πr

At r = 26 cm, then we have

C = 3.14 x 26

C = 81.64 cm

The perimeter of this semi-circle with a radius of 26 cm will be 81.64 cm.

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

#SPJ5

Answer:

Mickey

Step-by-step explanation:

Mickey is correct because if you look at the number 45.7654 whenever you round to the nearest thousandth it'll be 45.765

5 is the thousandth place so look to the right. If the number to the right is greater than 5 it'll round to 47.766 but since it's a four ti rounds down.

Answer: .10d+.25q<_ 4

Step-by-step explanation:

d= dimes and q = quarters

dimes are worth .10 and quarters are worth .25

The inequality for the given situation is

0.1d + 0.251 ≤ 4

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

10 dimes = 1 dollar

1 dime = 0.1 dollar

4 quarters = 1 dollar

1 quarter = 0.25 dollar

Now,

The maximum amount is $4.

So,

0.1d + 0.251 ≤ 4

Thus,

The inequality is 0.1d + 0.251 ≤ 4.

Learn more about inequalities here:

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Answer:

x = 11

Step-by-step explanation:

5x-10=3x+12

5x-3x=12+10

2x=22

x =11

Answer:

it's a

Step-by-step explanation:

just took the testttt

Answer:

Y=10

x=14.14

Step-by-step explanation:

Because the two smaller angles are equal, it is an isosceles triangle with both legs equal in length.

so y=10

By the Pythagorean theorem, x^2=10^2+10^2

x^2=200

x=14.14

Answer: B. [tex]\dfrac1{45}\times5=\dfrac19[/tex]

Step-by-step explanation:

We know that,

[tex]\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\times\dfrac{d}{c}[/tex]

Then, [tex]\dfrac19\div 5[/tex] [tex]=\dfrac19\times\dfrac15[/tex]

[tex]=\dfrac1{45}[/tex]

i.e.

[tex]\dfrac19\div 5=\dfrac{1}{45}\\\\\Rightarrow\ \dfrac1{45}\times5=\dfrac19 \ \ \ \text{[Multiply 5 on both sides]}[/tex]

Therefore, the multiplication equation is related to the division equation [tex]\dfrac1{45}\times5=\dfrac19[/tex]

Hence, the correct option is B. [tex]\dfrac1{45}\times5=\dfrac19[/tex]

Answer:

13cm

Step-by-step explanation:

square 12

square 5

add the answers

then square root the answer

Answer:

for the first equation

f(-3) = 34

f(4) = 6

for the 2nd equation

f(-3) = -56

f(4) ÷ 70

Step-by-step explanation:

my work is attached in a picture.

all you do is substitute each x value into each equation