a. y-4=1/4(x-4)
b. y-12=1/4(x-6)
c. y-12=4(x-6)
d. y-6=4(x-12)
e. y-4=4(x-4)
f. y-6=1/4(x-12)

Answer:

Choice C: Lauren is faster than Kevin, slower than Jeremy.

Step-by-step explanation:

Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.

Slope Formula: (y2-y1) / (x2-x1)

So lets take the table plots (2, 22) and (4, 33) to do this.

(y2-y1) / (x2-x1)

(33-22) / (4-2)

(11) / (2)

The speed of Kevin is 5.5 miles by hour.

Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:

5.5 * 2 = 11 miles per hour

To get the third biker's speed.

Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:

Jeremy: 12 mph

Kevin: 5.5 mph

Lauren: 11 mph

From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.

Answer:

10(6) + 5x = 180

60 + 5x = 180

- 60 - 60

---------------------

5x = 120

------------

5 5

x = 24

Step-by-step explanation:

The shipment contains a total of 180 pounds of potatoes. There are two types of bags of potatoes. One weighing 10 pounds and the other weighing 5 pounds. There are 6 bags of potatoes weighing 10 pounds each and x bags of potatoes weighing 5 pounds each. Two numbers can be added up to bring a total of 180 so we can write this equation as 10(6) + 5x = 180. This problem speaks of pounds in particular so that is why 10 and five go in front of the secondary numbers. After that, just solve. The steps are shown above. ^^^ If I am wrong, please let me know. I hope this helps! :D

Answer:

Value of θ [Angle of elevation] = 72.54°

Step-by-step explanation:

Given;

Length of foot ladder = 20 feet

Distance of foot from house (Base) = 6 feet

Find:

Angle of elevation

Computation:

Using trigonometry functions

Cos θ = Base / Hypotenuse

Cos θ = Distance of foot from house (Base) / Length of foot ladder

Cos θ = 6 / 20

Cos θ = 0.3

Cos θ = Cos 72.54

Value of θ [Angle of elevation] = 72.54°

Answer:

1 cup of brown sugar to 2 teaspoon of baking soda

Step-by-step explanation:

Given that 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda is needed to make 12 cookies. Therefore to make 24 cookies, double of this value would be needed.

Hence, 2.5 cups of flour, 220 grams of butter, 1 cup of brown sugar and 2 teaspoon of baking soda would be needed to make 24 cookies.

The ratio of brown sugar is to baking soda is to butter to make 24 cookies = 1 cup / 2 teaspoon = 1 cup of brown sugar to 2 teaspoon of baking soda

Answer:

34 in

Step-by-step explanation:

Trapezoid Area Formula: A= 1/2h (base 1 + Base 2)

A= 1/2(4)* (12+5)

A= 2 *(17)

A= 34 in  

I hope this helped :)

Answer:

12.57

Step-by-step explanation:

We need to find of area of a circle and the formula for that is pie * radius ^2.

Pie * 2 squared = 12.57 rounded to the nearest hundredth

Answer:

y = 3x-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]\large\fbox{\green{\underline{x = 5}}}[/tex]

Step-by-step explanation:

90 - 7x = 11 x

90 = 11x + 7x

90 = 18 x

90 / 18 = x

x = 5

Given:

The height of the triangular prism is 15 cm.

The side lengths of the base are 3 cm, 4 cm and 5 cm.

To find:

The lateral surface area of the prism.

Solution:

The lateral surface area of the prism is:

[tex]LSA=Ph[/tex]

Where, P is the perimeter of base and h is the height of the prism.

We know that the perimeter of base is the sum of all sides of the base.

The perimeter of the prism is (3+4+5) cm and the height of the prism is 15 cm.

So, the lateral surface area of the prism is:

[tex]LSA=(3+4+5)\times 15[/tex]

[tex]LSA=(12)\times 15[/tex]

[tex]LSA=180[/tex]

Therefore, the lateral surface area of the prism is 180 square cm.

Answer:

Step-by-step explanation:

The line crosses with y-axis when x = 0:

The y-intercept is the required point and its coordinates are (0, 7)

Answer:

51

Step-by-step explanation:

Parenthesis exponents multiplication division addition subtraction

(8+5x9)-2

(8+45)-2

53-2

51

Answer:

Tyler should make 8 a day. You do 122-66 which is 56 and there are 7 days in a week so 56 divide by 7 is 8.

Tyler has to make 8 invitations each day.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

Total number of invitations to the fair = 122

Already, 66 invitations has been made.

Remaining invitations = 122 - 66 = 56

56 invitations has to be made in a week or 7 days.

Let x be the number of invitations made each week.

x = 56 / 7 = 8

Hence 8 invitations has to be made each day.

Learn more about Equations here :

https://brainly.com/question/30066982

#SPJ2

Your question is incomplete. The complete question is as follows.

Tyler is making invitations to the fair. He has already made some of the invitations, and he wants to finish the rest of them within a week. He is trying to spread out the remaining work, to make the same number of invitations each day. Tyler draws a diagram to represent the situation.

The total of the x's and 66 is 122.

How many total invitations is Tyler trying to make?

Answer:

C. 10 = 2.5 + 0.5x

Step-by-step explanation:

A. 0.5x + 2.5 = 10

B. 0.5 – 2.5 = 10x

C. 10 = 2.5 + 0.5x

D. 2.5x + 0.5 = 10

E. 2.5x – 0.5 = 10

Total distance Hector covers = 10 km

Distance he has covered = 2.5 km

Distance he covers per week = 0.5 km

Let

x = number of weeks

The equation is given by

2.5 + 0.5x = 10

It can also be written as:

10 = 2.5 + 0.5x

10 - 2.5 = 0.5x

7.5 = 0.5x

x = 7.5/0.5

x = 15 weeks

Answer:

A and C

0.5x + 2.5 = 10

10 = 2.5 + 0.5x

Step-by-step explanation:

hope this helps!

Answer:

A standard hexagonal pencil is approximately 7.5 inches in lenght. This is 19 centimeters when converted.

The question says to the nearest inch. Therefore we have to approximate to to a whole number.

7.5, when rounded up to the nearest number, is 8 inches.

Hence, the answer is 8 inches or 19 centinmeters.

Cheers

Answer: 10/3 or 3.33

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

3.3 is bigger than 3 by .3: )

Answer:

no.

3.3 > 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

You must find the diameter then half it, so the radius, and then multiply it by 3.14152

Step-by-step explanation:

The answer is b. because the other ones don't charge money according to the number of miles.

Answer:

The structure that you used in your research paper can also be used for your presentation. For example, just like how your

Step-by-step explanation:

Step-by-step explanation:

the given data is in ascending order=9,-1,-2,-2000,-6000

rang = 9-(-6000)

( from above photo it continue )

Answer:

-7

Step-by-step explanation:

Answer:

[tex]y=3x-10[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y = 3x + 2[/tex]

From the given line, we can identify clearly that 3 is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're solving for will also have a slope of 3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=3x+b[/tex]

Plug in the given point (3,-1)

[tex]-1=3(3)+b\\-1=9+b[/tex]

Subtract 9 from both sides

[tex]-1-9=9+b-9\\-10=b[/tex]

Therefore, the y-intercept of the line is -10. Plug this back into [tex]y=3x+b[/tex]:

[tex]y=3x-10[/tex]

I hope this helps!

Answer:

D. SSA

Step-by-step explanation:

The SSA postulate does not exist because an angle and two sides does not guarantee that the two triangles are congruent. This is because if two triangles have two congruent sides but a non-included congruent side, this does not indicate that it is necessarily congruent.

Respuesta:

0,114 m³

Explicación:

El volumen del cohete será igual a la suma de los volumenes del cilindro y del cono

Volumen del cilindro

El cilindro tiene un radio (r) de 0,25 m y una altura (h) de 0,5 m. Podemos encontrar su volumen usando la siguiente formula.

Vcil = π × r² × h

Vcil = π × (0,25 m)² × 0,5 m = 0,098 m³

Volumen del cono

El cono tiene un radio (r) de 0,25 m y una altura (h) de 0,25 m (la mitad de 0,5 m). Podemos encontrar su volumen usando la siguiente formula.

Vcono = 1/3 × π × r² × h

Vcono = 1/3 × π × (0,25 m)² × 0,25 m = 0,016 m³

Volumen del cohete

Vcohete = Vcil + Vcono = 0,098 m³ + 0,016 m³ = 0,114 m³

Answer:

x = 120-95

Step-by-step explanation:

The correct equation for the expression is:

∠AFC = ∠AFB+ ∠BFC

Given that

∠AFC = 120°

∠BFC = 95°

Substitute

120= ∠AFB+95

∠AFB = 120-95

If ∠AFB = x

The required equation will be:

x = 120-95

Answer:

Step-by-step explanation:

An easy way to do slope is to know the formula which is (y1-y2)/(x1-x2)

In this case you have two points (2,5) and (0,-1)

2 = x1 (cause it’s the first x)

5 = y1 (cause it’s the first y)

0 = x2 (second x)

-1 = y2 (second y)

So the slope would be

(5-(-1))/2-0= 6/2 = 3

Answer:

From the survey, the following apply to both Junior and Seniors who were asked about their plan towards attending college:

C. Given the student plans to attend college, the probability the student is a junior is 68%.

D. Given the student is a junior, the probability the student plans to attend college is 68%.

F. Events "is a senior" and "plans to attend" are independent.

B. The probability the student plans to attend college is 70%.

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

You can basically just drop the plus sign and remove the parenthesis because the plus sign doesn't alter negatives.

-6+(-12)

-6-12= -18

Answer:-18

Step-by-step explanation: