Steve bought 2 plain and 1/4 of a pepperoni pizza. In all how much pizza did he buy?

Answers

Answer 1
Answer: In all he brought

Plain pizza + pepperoni pizza

= 2 + ¼
= 2¼

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Two parallel lines are crossed by a transversal.Horizontal and parallel lines k and l are cut by transversal j. At the intersection of lines k and j, the bottom left angle is 120 degrees. At the intersection of lines l and j, the top left angle is h degrees.What is the value of h?h = 60h = 80h = 100h = 120
Find the value of f(5) for the function f(a)=5(a+1)-6

Thank you, please show me the steps.

Answers

V=(1/3)hpir^2
d/2=r
2.75/2=1.375
to make volume 4 times more
multiply height by 4 or multiply radius by 2
example
find current cup volume
V=(1/3)2.75pi1.375^2=2.2057291666666pi

if we times height by 4
3.5*4=14
V=(1/3)14pi1.375^2=8.822916666666666666pi

if we times radius by 2
1.375*2=5.5
V=(1/3)3.5pi5.5^2=8.822916666666666666pi


we can show it is 4 times by
8.822916666666666666pi/2.2057291666666pi= 3.99999 close enough
dimentions are

diameter of 2.75in and height of 11in or
 diameter of 5.5in and height of 3.5 in


Identify the explanatory and response variables in the following situation:There is a strong negative correlation between latitude above the equator and average temperature on December 21.

A: Explanatory: Latitude
Response: Daylight hours
B. Explanatory: Latitude
Response: Average temperature
C. Explanatory: Daylight hours
Response: Latitude
D. Explanatory: Time of year
Response: Daylight hours

Answers

Negative correlation refers to an inverse relationship between two variables. When one variable increases, the other decreases.

The variables are latitude and average temperature.

The explanatory variable is latitude and the response is the average temperature. Choice B.

As the latitude increases, the average temperature decreases. This is a strong negative correlation of between the two variables.
The best answer would be letter B. The explanatory variable in the situation given above would be the latitude, while the response variable would be the average temperature. The explanatory variable is another term for the independent variable while the response variable is another term for dependent variable.

Ten people are entered in a race. If there are no ties, in how many ways can the first three places come out?A. 1440

B. 720

C. 30

D. 132

Answers

B) 720 different possibilities

Answer: (720) is the right answer

Step-by-step explanation:

You are driving home on a weekend from school at 55 mi/h for 110 miles. it then starts to snow and you slow to 35 mi/h. you arrive home after driving 4 hours and 15 minutes. how far is your hometown from school

Answers

The distance between hometown and school is 188.75 miles.

Given that, the person drive 110 miles at 55 miles/hour.

Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = (d)/(t), where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.

Due to snow, speed is slow down to 35 miles/hour.

Let x miles be travelled with 35 miles/hour.

Total time taken to travel is 4 hours and 15 minutes.

Here, T_1=(110)/(55) and T_2=(x)/(35)

Now, T=T_1+T_2

(110)/(55)+(x)/(35)=4(15)/(60)

((110*7+x*11))/(385)=4(1)/(4)

((770+11x))/(385)=(17)/(4)

4(770+11x)=385*17

3080+44x=6545

44x=6545-3080

44x=3465

x=78.75 miles

Total distance = 110+78.75

= 188.75 miles

Therefore, the distance between hometown and school is 188.75 miles.

Learn more about the average speed here:

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Final answer:

The total distance from school to the student's hometown is calculated as the sum of distances covered at different speeds. The student spends 2 hours at 55 mi/h, covering 110 miles, and then 2.25 hours at 35 mi/h, covering 78.75 miles, making up a total of 188.75 miles.

Explanation:

The question pertains to the concepts of distance, speed and time in mathematics. In this scenario, the student drives at a speed of 55 mi/h for 110 miles and then slows down due to snowfall and drives at 35 mi/h. From this information, we can calculate the time spent at each speed.

Firstly, since Speed = Distance / Time, we can rearrange to find Time = Distance / Speed. For the first stretch of the journey, the time is 110 miles / 55 mi/h = 2 hours.

It is given that the total journey takes 4 hours and 15 minutes which is equivalent to 4.25 hours. So, the time spent driving at 35 mi/h is 4.25 hours (total trip time) - 2 hours (first stretch) = 2.25 hours.

The distance covered when it was snowing can be found by multiplying this time by the slower speed: 35 mi/h * 2.25 h = 78.75 miles.

Therefore, the total distance from school to the student's hometown is the sum of the distance traveled at each speed: 110 miles (at 55 mi/h) + 78.75 miles (at 35 mi/h) = 188.75 miles.

Learn more about Distance calculations here:

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Solve for x.

4x + 5 = 25

Answers

The value of x of equation 4x + 5 = 25 is 5.

What is linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

Given,

4x + 5 = 25

First subtract 5 from both sides,

4x + 5-5 = 25-5

4x=20

Now divide both sides by 4,

x=5

Hence, the value of x of equation 4x + 5 = 25 is 5.

Learn more about linear equation

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First subtract 5 from both sides.  
4x=20
Now divide both sides by 4.
x=5

A belt runs a pulley of radius 8 inches at 60 revolutions per minute. a) Find the angular speed in radians per minute. b) Find the linear speed in inches per minute.

Answers

Answer:

Part a) 120\pi\ (rad)/(min)

Part b) 960\pi\ (in)/(min)

Step-by-step explanation:

we have

60 rev/min

Part a) Find the angular speed in radians per minute

we know that

One revolution represent 2π radians (complete circle)

so

1\ rev=2\pi \ rad

To convert rev to rad, multiply by 2π

60\ (rev)/(min)=60(2\pi)=120\pi\ (rad)/(min)

Part b) Find the linear speed in inches per minute

we know that

The circumference of a circle is equal to

C=2\pi r

we have

r=8\ in ----> given problem

substitute

C=2\pi(8)

C=16\pi\ in

Remember that

One revolution subtends a length equal to the circumference of the circle

so

1\ rev=16\pi\ in

To convert rev to in, multiply by 16π

60\ (rev)/(min)=60(16\pi)=960\pi\ (in)/(min)