The linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage. Let x represent the number of hours and y represent the number of miles. How far from home is Traci in 12 hours? Is the equation linear, or not?

Answers

Answer 1

Traci will be 360 miles in 12 hours if the linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage and the equation of the graph is linear.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a linear equation:

y = 30x

Here, x represent the number of hours and y represent the number of miles.

When x = 12 hours then

y = 30(12) = 360 miles

If draw the graph the equation y = 30x, it will be a linear equation.

(refer attached picture)

Thus, Traci will be 360 miles in 12 hours if the linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage and the equation of the graph is linear.

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The Linear Equation Y = 30x Describes How Far From Home Traci Is As She Drives From Dallas To Anchorage.

Related Questions

Joe can paint 2 yards of fence for $48.60. What is the price per foot.

Answers

Answer:

the price per foot = $8,1

Step-by-step explanation:

Note : 2 yards = 2 × 3 = 6 foot

Then

Joe can paint 6 foots of fence for $48.60

Then

Joe can paint 1 foot of fence for 48.60 ÷ 6 = $8,1

£6846 is shared equally between 7 people. How much does each person get?

Answers

Answer: Each person gets £978

Step-by-step explanation: £6846 divided by 7 is £978

Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $7 a pound and cereal squares sell for $4 a pound. If Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound, how many pounds of nuts and how many pounds of cereal squares should he use?

Answers

Answer:

5 lbs cereal squares.

25 Ibs nuts.

Step-by-step explanation:

Let x be the weight of nuts in pounds and y be the weight of cereal squares in pounds.

Total weight of the party mix is 30 pounds.

[tex]x+y=30[/tex]              ..... (1)

It is given that,

Cost of nuts = $7 per pound

Cost of cereal = $4 per pound

The cost of mix = $6.50 per pound.

[tex]7x+4y=6.50*30[/tex]    

[tex]7x+4y=195[/tex]           ..... (2)

Substitute the value of x in equation (2) from equation (1).

[tex]7(30-y)+4y=195[/tex]

[tex]210-7y+4y=195[/tex]

[tex]-3y=195-210[/tex]

[tex]-3y=-15[/tex]

Divide both sides by -3.

[tex]y=5[/tex]

Substitute y=5 in equation (1).

[tex]x+5=30[/tex]

Subtract both sides by 5.

[tex]x=30-5[/tex]

[tex]x=25[/tex]

Therefore, he use 25 lbs of nuts and 5 lbs cereal squares for party mix.

What are the values of mode and median in the following set of numbers? 1,3,3,6,6,5,4,3,1,1,2 Mode: 1, 2, Median: 2 Mode: 1,3, Median: 3 Mode: 2,3, Median: 2 Mode: 1,3, Median: 2.5​

Answers

given:

[tex]1 \: 3 \: 3 \: 6 \: 6 \: 5 \: 4 \: 3 \: 1 \: 1 \: 2[/tex]

to find:

the mode and median of the given numbers set.

solution:mode:

the most frequently occurred number.

[tex]mode = 1 \: and \: 3[/tex]

median:

first arrange all the numbers in either decending or ascending order, then find the number in the middle.

[tex]1 \: 1 \: 1 \: 2 \: 3 \: 3 \: 3 \: 4 \: 5 \: 6 \: 6[/tex]

[tex]median = 3[/tex]

hence, the median of the following data set is 3 and the mode is 1 and 3

What is the area of the base of the cone below? A cone with height 12 feet and volume 90 feet cubed. 2.5 feet squared 4 feet squared 22.5 feet squared 26 feet squared

Answers

Answer:

its C or 22.5

Step-by-step explanation:

Im doing the test right now

Answer:

22.5

Step-by-step explanation:

A standard NBA basketball has a diameter of 24.1 cm. What is the volume of a standard NBA basketball?

a.7,329 cm3

b.270 cm3

c.58,633 cm3

d.1,629 cm3

Answers

The volume of a standard NBA basketball is 7,329 cm³.

What is the volume of a sphere?

The volume of a sphere is given by the formula,

V = 4/3×π×r³

Given the diameter of the ball is 24.1 cm, therefore, the radius of the ball will be 12.05cm (half the diameter of the ball). Thus, the volume of the NBA basketball will be,

V = 4/3 × π × (12.05)³

V = 7,329.084 cm³ ≈ 7,329 cm³

Hence, the volume of a standard NBA basketball is 7,329 cm³.

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Ronald's bill at the end of his lunch was $20.00. Using a proportion, determine the amount of his bill that he must leave for a 19% tip.

Answers

Answer:

23.80$

Step-by-step explanation:

[tex]\frac{20}{x} =\frac{100percent}{19percent}[/tex]

X = (20 × 19) ÷ 100

X =380 ÷ 100

X = 3.8$

20.00+ 3.8=

23.80

What is the value of the expression below when a = 4?
6a + 7
A. 31
B. 41
C. 53
D. 71

Answers

So if a = 4 we can substitute the value of the variable into the function
So if a = 4
Then in the equation
6a + 7
We substitute a for 4 which gets

6(4) + 7

24 + 7

31
There for the answer is A

Hope this helps!

Fred bought 3 shirts and a tie. He remembers each shirt was $25, and the total cost was $85. How much was the tie?

Answers

Answer:

The tie is $10

Step-by-step explanation:

3 shirts were bought, so 25*3 is 75. The total cost is $85, you take 85 and subtract 75 from it and you get the cost of the tie, $10.

Pls help me and show work! Thank you <3

Answers

Answer: 27

Step-by-step explanation:

By the same-side interior angles theorem, [tex]x+72+3x=180 \longrightarrow x=\boxed{27}[/tex]

A bag contains 2 gold marbles, 8 silver marbles, and 20 black marbles. The rules of the game are as follows: You randomly select one marble from the bag. If it is gold, you win $5, if it is silver, you win $2. If it costs $1 to play, what is your expected profit or loss if you play this game?

Answers

Answer:

expected loss of 4/30 ≈ 0.13 dollars

Step-by-step explanation:

profit  = revenue - expenses

expected profit= expected revenue - expected expenses

how i solve this is by multiplying each revenue and expense by its probability and solving from there

revenue of gold = 5

revenue of silver = 2

revenue of black = 0

this exhausts all of our revenue options

total marbles = 2+8+20 = 30

# of gold marbles = 2

probability of gold = 2/30

# of silver marbles = 8

probability of silver = 8/30

# of black marbles = 20

probability of black = 20/30

expected revenue = sum of possible revenues multiplied by their probability

= 5 * 2/30 + 2 * 8/30 + 0 * 20/30 = 10/30 + 16/30 = 26/30

cost = 1 no matter what

expected profit = expected revenue - expected expenses

= 26/30 - 1

= -4/30

= an expected loss of 4/30

4/30 ≈ 0.13

If each student needs 1/3 of a stick of clay to do an art project,and there are 4 sticks of clay, how many students can do the art project?

Answers

Answer:

12 students

Step-by-step explanation:

Because the total is 4 sticks, and each student needs 1/3 of a stick, we would have to see how many 1/3 sticks fit into 4 sticks. Because 3 of the 1/3 sticks fit into 1 stick, then 4 sticks would be 4*3=12 of the 1/3 sticks, which means 12 students can do it.

We could also just do: 4/(1/3)= 4*(3/1)=12

This is fractional division. The second value of the division process, we switch the numerator and denominator's, and the expression turns to a multiplication expression, where we can just multiply.

12 students. 3 of 1/3 make a whole.

Use the three functions shown. 1. f(x)=x² II. f(x)=√x III. f(x) = ln x For which of the functions, if any, is a trapezoidal approximation for the area under the curve y = f(x) over the interval [1, 4] with 3 equal subintervals less than the midpoint approximation? none of the functions O I only II and III only all of the functions​

Answers

II and III only

We split up the integration interval [1, 4] into 3 equally-spaced subintervals of length (4 - 1)/3 = 1 :

[1, 2], [2, 3], [3, 4]

The area over each subinterval [L, R] is either approximated by a trapezoid, whose area will be

1 • (f(L) + f(R))/2

or by a rectangle with height f((L + R)/2) and hence area

1 • f((L + R)/2)

For f(x) = x², the area under f(x) over [1, 4] is approximated by

• using trapezoids (T) :

[tex]\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}{2\times3} (1^2 + 2\times2^2 + 2\times3^2 + 4^2) = \frac{43}2 = \frac{86}4[/tex]

• using midpoints (M) :

[tex]\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}3 \left(\left(\frac32\right)^2 + \left(\frac52\right)^2 + \left(\frac72\right)^2\right) = \frac{83}4[/tex]

so T > M. (This eliminates "I only" and "all of the functions".)

For f(x) = √x, the area is approximated by

• T :

[tex]\displaystyle \int_1^4 \sqrt x \, dx \approx \frac{4-1}{2\times3} (\sqrt1 + 2\sqrt2 + 2\sqrt3 + \sqrt4) \approx 4.646[/tex]

• M :

[tex]\displaystyle \int_1^4 \sqrt x\, dx \approx \frac{4-1}3 \left(\sqrt{\frac32} + \sqrt{\frac52} + \sqrt{\frac72}\right) \approx 4.677[/tex]

so T < M. (This eliminates "none of the functions".)

Please help me solve this trig problem!

Answers

Answer:

the awnser I got is 279

Step-by-step explanation:

if it's wrong I'm so sorry I'm not the best at math >-<

Answer: 105.66 ft

Step-by-step explanation:

.
Which line is parallel to the line that passes through the points of (2,-5) and (-4,1)

Answers

Answer:

y= -x-5

Step-by-step explanation:

m=1-(-5)/-4-2

m=-1

-1= -x

y=-x-5

PLEASE HELP ILL GIVE BRAINLIESTTTTTT

Answers

Step-by-step explanation:

Explaination:  So first of all um what I am going to do is I need to find the area of this semicircle. So the area of the semicircle, I'm going to use pi times the radius squared and then divided by two. So I'm using the formula of the area of a circle and then I'm dividing it by two because it's half of a circle. And then I'm going to add that to the area of a triangle which is base times height divided by two. 

Hope it helps you

©
Bluegrass was develope from tradition
Simple / repetitive cuord proggression the
,
the country Acoustic instrumen
7. What wast the social significance of cover songs in early

What was the significance of cover songs in early rock music

Answers

it was social signicafanr for the covers

please help me im stuck ​

Answers

Answer: The mean is 6, mean also means the constence.

Step-by-step explanation:

6 is able to go into 10,20,30,40. But I maybe wrong, sorry if I am.

Elijah’s home is 1.1km from the library
His journey from his home to the library, including a 2 minute stop on the way, is shown on the
graph below.
How much faster was Elijah travelling before his stop than afterwards?
Give your answer in km/h.

Answers

Elijah was travelling before his stop than afterwards with speed of 0.5 km/h.

What is formula to calculate speed or velocity?

To solve for distance use the formula for distance d = vt, or distance equals speed times time. Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour.

Before his stop, the velocity =[tex]\frac{0.4km}{0.1 h}[/tex]

                                              = 4 km/h

After his stop, the velocity =[tex]\frac{2.7km}{2.2 h}[/tex]

                                               = 3.5 km/h

So, 4-3.5 km/h= 0.5 km/h

Elijah was travelling before his stop than afterwards with speed of 0.5 km/h

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PLEASE HELP ME !!!!

Answers

Answer:

D

Step-by-step explanation:

Exterior means outside which means it has to be one of the angles outside the triangle.

Options A, B, and C have angles inside the triangle.

Option D is the only angle outside the triangle

1. The area of Alabama is 51,718 square miles and its population is 4,779,736. The area of Missoun is 69,709 square miles and its population is 5,988,927. The average state population density is 87,4 people per square mile. How do the population densities of Alabama and Missouri compare to the national average?​

Answers

Answer:

Alabama is greater than the national average Missouri is less than national average  

Step-by-step explanation:

Find the pop densityof each state   =  people / mi^2

Alabama   4779736 / 51718    = 92.4 people per square mile

Missouri    5988927 / 69709 = 85.9 people per square mile

help i need a answer asap!!

Answers

Answer: One angle measures more than 90 degrees

Step-by-step explanation:

A shipping box in the shape of a rectangular prism has a volume of 15,000
cm3. The length of the box is 20 cm, and the width is 25 cm. What is the
height of the box?
A. 15 cm
B. 30 cm
C. 37.5 cm
D. 24 cm

Answers

Answer:

Option (B) 30cm.

Step-by-Step explanation:

Given:

Volume of Rectangular Prism is 15,000cm³.

Length (l) ➠ 20 cm Width (w) ➠ 25 cm

We know that,

Volume of Rectangular Prism = whl

Let "h" be the height.

➛ 25 × h × 20 = 15,000

➛ h × 20 × 25 = 15,000

➛ h × 500 = 15,000

➛ h = 15,000 ÷ 500

➛ h = 30

Thus, height of the box is 30 cm.

Number 31 please help

Answers

Step-by-step explanation:

you should respond : "you are right" !

need help fast! 100 POINTS

Answers

Answer:

100 points ??? I see 5 points :]

What is the solution of the system of equations shown in the following graph? Please help

Answers

Answer:

aedi on

Step-by-step explanation:

Which compound inequality has a solution set of all real numbers?

Question 5 options:

a) x > -2 or x < 1

b) x < -1 and x > 2

c) x < -1 and x > 2

d) x < -3 or x > -2

Answers

Answer:

If the number on the other side of the inequality sign is negative

Step-by-step explanation:

I just know okay

Please help the distance formula

Answers

Answer:

7.8

Step-by-step explanation:

distance formula : [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

where the x and y values are derived from the given points

here the given points are (11,3) and (6,9)

assigning variables

(x1,y1) = (11,3) so x1 = 11 and y1 = 3

(x2,y2) = (6,9) so x2 = 6 and y2 = 9

plugging in values into formula

recall formula [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

==> plug in x1 = 11 , y1 = 3 , x2 = 6 and y2 = 9

[tex]d=\sqrt{(6-11)^2+(9-3)^2}[/tex]

==> subtract values in parenthesis

[tex]d=\sqrt{(-5)^2+(6)^2}[/tex]

==> evaluate exponents

[tex]d=\sqrt{25+36}[/tex]

==> add 25 and 36

[tex]d=\sqrt{61}=7.8[/tex] ( approximately )

The point B (3, -1) has been translated from A by the Vector (4∗3) . What are the coordinates of A?

Answers

If point B (3, -1) has been translated from A by the Vector (4, 3). Then the coordinates of A will be (12, -3)

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

Point B (3, -1) has been translated from A by the Vector (4, 3).

Then the coordinates of A will be

Point B (3, -1) x  (4, 3)

Point B (3 x 4, -1 x 3)

Point B (12, -3)

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claire is considering in a new business

Answers

She should continue her business
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