Select the correct answer.
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5

Answer:

y = -x + 9

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

(0, 9) y-intercept

(9, 0) x-intercept

Step 2: Find slope m

[tex]m=\frac{0-9}{9-0}[/tex]

[tex]m=\frac{-9}{9}[/tex]

[tex]m=-1[/tex]

y = -x + b

Step 3: Write linear equation

y = -x + 9

Answer:

y = -x + 9

Step-by-step explanation:

Slope Formula:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

(0, 9) y-intercept

(9, 0) x-intercept

Step 2: Find slope m

y = -x + b

Step 3: Write linear equation

y = -x + 9

Answer:

(Answer

Step-by-step explanation:

deleted)

Answer:

b isnt a fuction

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:1180,740

Step-by-step explanation:

2 night, so (400x2)+(150x2)+(40x2)=800+300+80=1180 this is cost to go and come back.

400+300+40=740 this is the cost for only going there and not coming back.

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

Work Shown:

t = time it takes to go from Jackie's house to her friends house

distance = rate*time

d = 30*t

This represents the distance they travel if they go 30 mph

Then when going back home, they take 6 minutes longer

6 minutes = 6/60 = 0.1 hours

So they take 0.1 hours longer meaning the t updates to t+0.1

d = r*t

d = 25*(t+0.1)

d = 25t+2.5

This represents the trip back home.

Since the distance d doesn't change, we can equate the two right hand sides and solve for t

30t = 25t+2.5

30t-25t = 2.5

5t = 2.5

t = 2.5/5

t = 0.5 hours = 30 minutes

d = 30t = 30*0.5 = 15 miles

Answer:hope it helps,

Step-by-step explanation:

Answer:

1.)47.022

2.)8.032

3.)2.436

4.)61.92

Step-by-step explanation:

Answer:

m=-1/3

Step-by-step explanation:

To find the slope you have to use the equation:y₂-y₁ divided by x₂-x₁

So you would have 3-4 divided by 0-(-3)

And then you would get -1/3

Answer:

-0.33333

//////Step-by-step explanation:///////

Answer: $10.7

Step-by-step explanation:

The following can be deduced from the question:

Total cost of items = $130

Percentage of Sales tax = 8.25%

Sales tax = Sales tax percent × Cost

Sales tax = 8.25% × $130

Sales tax = 8.25/100 × $130

= 0.0825 × $130

= $10.725

= $10.7

Answer:

The unit price are:

$0.285 for the 10.5 ounce package

$0.272 for the 29.3 ounce package.

The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.

Step-by-step explanation:

From the question:

A 10.5-ounce package costs $2.99.

The unit price = 1 ounce.

10.5 ounce = $2.99

1 ounce = x

10.5 ounce × x = 1 ounce × $2.99

x = 1 ounce × $2.99/10.5 ounce

x = $0.2847619048

The unit price = $0.2847619048

Approximately = $0.285

A 29.3-ounce package costs $7.98.

The unit price = 1 ounce.

29.3 ounce = $7.98

1 ounce = x

29.3 ounce × x = 1 ounce × $7.98

x = 1 ounce × $7.98/29.3 ounce

x = $0.2723549488

The unit price = $0.2723549488

Approximately = $0.272

The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.

Answer: i did this test

Step-by-step explanation:

Answer:

x = 28

Step-by-step explanation:

Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.

Thus,

<AOD = <BOC

<AOD = 152°

<BOC = 3x + x + (x + 12) (angle addition postulate)

<BOC = 5x + 12

Since <AOD = <BOC, therefore,

152° = 5x + 12 (substitution)

152 - 12 = 5x (subtraction property of equality)

140 = 5x

140/5 = x (division property of equality)

28 = x

x = 28

Answer:

30% on Monday 46% on Tuesday

Step-by-step explanation:

Well you have 3 blue shirts 4 red shirts and 6 orange shirts so what you have to do is add all them together to make it a fraction which you would do 3+4+6 which is 13/13 so the probability of her wearing a red shirt on Monday would be 4/13 since there are 4 red shirts and 13 in total so we make 4/13 as a fraction which would give us 30% chance she would choose a red shirt on Monday and for Tuesday we do the same thing but instead we use orange shirts so which is 6/13 which would give her a percentage of 46% on Tuesday it's more closer to half than the red shirts because 6 pretty much half of 13 but since 13 is a odd number it isn't  half because half of 13 is 6.5

Answer:

unit rate= 4-kilometers/minute   expected time= 56 minutes

Step-by-step explanation:

14 kilometers x 4 kilo/minute = 56 minutes

Answer:

180 degrees is half of a full turn 360 degrees in a full turn

Step-by-step explanation:

Answer:

no entiendo la version de esa mathematica

Step-by-step explanation:

Answer:

i think it is 26.

Step-by-step explanation:

180-134=46

180-160=20 so

ABC (46)- XYZ (20)=26.

Answer:

I really dont know sorry love <3

Step-by-step explanation:

Answer:

Ues the site called quetext is helps

Step-by-step explanation:

Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. (2a)^4 = 16a^4 is distributive property.

Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.

If an exponent acts on single term in parentheses, we can distribute the exponent over the term.

(2a)^4

=2^4.a^4

The value of 2^4 is 16, because 2^4=2*2*2*2=16.

=16a^4.

Therefore by distributive property of exponents (2a)^4 = 16a^4.

To learn more on distributive property click:

https://brainly.com/question/5637942.

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Answer:

Step-by-step explanation:

27,33

9*3 is 27

11*3 is 33

33-27 is 6

i only have one, sorry!

Answer:

Step-by-step explanation:

Let the larger number = y

Let the smaller number = x

x/y = 9/11

y - x = 6

Add x to both sides of the second equation

y = 6 + x

Substitute into the first equation

x/(x + 6) = 9/11

Cross multiply

11x = 9(x + 6)

Remove the brackets

11x = 9x + 54

Subtract 9x from both sides.

2x = 54

x = 54/2

x = 27

y = 27 + 6

y = 33

(27,33)

The way I've done it, there isn't a second pair.

I suppose you could do it this way.

9/11 = -27/-33

-27 - - 33 = 6

So the second pair could be

(-27, - 33)

Answer:

n-3≥-5

If you need the equation solved...

n-3≥-5

+3 +3

n≥-2

Hope this helped!! Have a great day c:

Answer:

upside down so i might be wrong but the ratio is 3/2

Step-by-step explanation:

3:2 milk to ice cream

other ratios would be

6:4 9:6 12:4 15:5

(the question is slightly confusing but I think this is what they are asking for. )

Answer:

3.75 or 3[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The first thing we can find is the scale factor of the two triangles. You can see that the corresponding sides AB and A'B' are 2 and 8 respectively, and since the two triangles are similar, you can say that triangle ABC is shrunk by a factor of 2/8 or 1/4.

Next, we need to figure out what side B'C' is and we can do this using the Pythagorean theorem [tex]a^{2}[/tex]+[tex]b^{2}[/tex] = [tex]c^{2}[/tex]. Using this, we know that [tex]8^{2}[/tex]+

Now, since ABC is shrunk by 1/4 and the corresponding side of BC is equal to 15, we need to multiply 15 by 1/4 and you would find that BC is 3.75 or 3[tex]\frac{3}{4}[/tex].

Answer:

b.11

Step-by-step explanation:

3x+2+70=9x+6

put your like terms on one side:

9x-3x=70+2-6

6x=66

divide both sides by 6

x=11

Answer:

Vinnie is 12.

Step-by-step explanation:

24 divided by 2 is 12

A fraction is the representation of a decimal number so the fraction of 1/2 of 24 is 12 thus its age of Vinnie is 12 years.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers, but the division is not wholly complete.

For example, 1/3 is a fraction and in decimal, it is 0.333. Here 1 will be called a numerator while 3 will be the denominator.

Given that,

Age of Julie = 24 years

Age of  Vinnie = 1/2 of 24

The 1/2 fraction of 24 will be

⇒ 24/2 = 12 years.

Hence "The fraction of 1/2 of 24 is 12 thus the age of Vinnie is 12 years".

For more about fractions,

https://brainly.com/question/10354322

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Answer:

1.The width of the new gym is 40

2.The length and width of the new gym are  

times the length and width of the old gym 2

Answer:

The width of the new gym is 40 meters.

The length and width of the new gym are 2 times the length and width of the old gym.

Step-by-step explanation:

Well hello, and welcome I guess? You can ask homework questions here and they usually get answered within 10 seconds to 6 hours.

Answer:

slope = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given : A linear equation in two variables is given to us , which is y = -½ + 3 .

To Find : The slope of the line .

Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,

[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]

Where , m is the slope of the line and c is the y - intercept of the line .

Now , on comparing the equation with the standard form , we have :

Hence the slope of the line is -½.

Answer:

Cost of first pair shoe = a = $23

Cost of second pair shoe = b = $46

Cost of third pair shoe = c = $28

Step-by-step explanation:

Let

Cost of first pair shoe = a

Cost of second pair shoe = b

Cost of third pair shoe = c

The first pair of shoes were not too expensive, but the second pair was twice as much as the first pair.

b = 2a......... Equation 1

The third pair of shoes were $5 more than the first pair.

c = a + 5...... Equation 2

She paid with a $100 bill and got $3 in change.

a + b + c = $100 - $3

a + b + c = 97........... Equation 3

Substitute 2a for b and a + 5 for c in Equation 3

a + 2a + a + 5 = 97

4a = 97 - 5

4a = 92

a = 92/4

a =$23

The cost of the first pair of shoe = $23

b = 2a......... Equation 1

b = 2($23)

b = $46

The cost of the second pair of shoe = $46

c = a + 5...... Equation 2

c = $23 +$5

c = $28

The cost of the third pair of shoe = $28

Answer:

20 + 16 = 36

Step-by-step explanation:

The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.

Pick A=20 and B=16, both are positive even integers.

The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.

Counterexample: 20 + 16 = 36

In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.

Other possible counterexamples are:

10 + 8, 700 + 40, 12 + 14, etc.