answer: 68
work:
all you basically do is just divide 272 by 4
If Ralph drove 272 miles in 4 hours then 68 miles per hour is the average speed
What is Division?
A division is a process of splitting a specific amount into equal parts.
Given that Ralph drove 272 miles in 4 hours
We need to find his average speed
The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time
Speed=Distance/ Time
Average speed=272/4
=68 miles per hour
Hence, if Ralph drove 272 miles in 4 hours then 68 miles per hour is the average speed
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The low temperatures in two cities are being compared. In City 1, the range in temperature is 20°F and the IQR is 7°F.
In City 2, the range in temperature is 15°F and the IQR is 7°F.
What might you conclude about the cities based on the ranges and interquartile ranges?
B.The weather pattern in City 2 is more consistent than the weather pattern in City 1
explanation:
Range and interquartile range (IQR) measures the spread of data. Range measure the overall spread and IQR measures spread in 50% of data.
Range is calculated by differencevof maximum and minimum value whereas IQR is calculated by difference of First quartile and third quartile.
Since, the range and IQR is less for City 2 as compared to City 1.
Thus ,weather pattern of City 2 is more consistent as compared to City 1.
Answer: b
Step-by-step explanation: I did it on my paper and it kind of took a long time
What is the slope of the line?
Answer:
[tex]m=\frac{-4}{5}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in 2 coordinates into the slope formula to find slope m:
(-3, 1)
(2, -3)
[tex]m=\frac{-3-1}{2-(-3)}[/tex]
[tex]m=\frac{-4}{2+3}[/tex]
[tex]m=\frac{-4}{5}[/tex]
Zoe put in 80 hours of work in July for which she is entitled to $920.65. She also works 5 hours overtime. If she receives a paycheck of $1030.45 for the month, how much is she paid for an hour of overtime work?
Answer:
1951.1
Step-by-step explanation:
Just add her money up 920.65 + 1030.45= 1951.1
Help please!!!!!!!!!!
Answer:
The answer is x=18, I believe.
Line AB is parallel to line CD. What is the measure of angle CFE?
A 45°
B. 55°
C. 125°
D. 180°
Answer: c
Step-by-step explanation:
A full circle is 360 degrees so half way would be 180 and since theyre parallel you know that you can use the 55 degrees up top to use in ur equation to find cfe
180-55=125
Can't be 45 because the angle on the other side is smaller than cfe and its 55 degrees and cfe has to be wider than 90 degrees because a right angle is 90 degrees and this angle noticeable goes past 90
Can't be 180 because the whole thing equals 180
At a convenience store, you have a choice of five diet drinks, 10 regular drinks, six bags of fat-free chips, and 10 bags of regular chips. What is the probability that you will buy a regular drink and a regular bag of chips?
Answer:
I guess that the purchase is at random, then let's see the possible options:
5 diet drinks.
10 regular drinks.
Total drinks = 15
6 bags of fat-free chips
10 bags of regular chips.
Total chips = 16.
Probability of buying at random, a regular drink is equal to the number of regular drinks divided the total number of drinks:
p1 = 5/15 = 1/3
Probability of buying at random a regular bag of chips, we use the same reasoning as before.
p2 = 6/16 = 3/8
The joint probability will be equal to the product of the individual probabilities:
P = p1*p2 = (1/3)*(3/8) = 1/8.
Answer:
the answer is 5/12
Step-by-step explanation:
Find the unit rate of buying a $36 shirt and getting another one for equal or lesser value for free
Answer:
each shirt would cost $13≤ unit rate <$36
Step-by-step explanation:
50 points!!! ANSWER ASAP WHAT GOES IN THE BOX?
Answer:
2⁹
Step-by-step explanation:
Using the rule of Indices:
aⁿ x aˣ = aⁿ⁺ˣ
Hence: 2²⁺³⁺⁴
= 2⁹
Answer:
9
Step-by-step explanation:
Since it is a multiplication problem you would add all of the exponents up.
2^2 * 2^3 * 2^4
2^(2+3+4)
Write the relation as a set of ordered palls.
4
a. ordered pairs: {(4, -2), (0, 0), (2, 4)}
b. ordered pairs: {(-2, 4), (0, 0), (4, 2)}
ordered pairs: {(-2, 4), (0, 0), (2, 4)}
d. ordered pairs: {(4, -2), (0, 0), (4, 2)}
C.
Answer:
it would be C because of all thing that are macthing
Sorry, I feel so dumb but the x in 18x2 is not a variable right?
Answer:
32
Step-by-step explanation:
the x is not a variable
A rectangle’s width is 8 inches long. If the length is 3 times the width, what is the perimeter of the rectangle?
Answer:
the perimeter is 64
Step-by-step explanation:
the length is 24 because 8*3 = 24 and since it is perimeter of a rectangle there are two sides that are the same length which is the length are 24+24 and width is 8+8 and all together
24+24+8+8=64
-4/5(-8x+6)=1+7 Please Help
Answer:
x = 2
Step-by-step explanation:
-4/5(-8x + 6) = 1 + 7 (distribute first)
6.4x -4.8 = 8 (add 4.8 on both sides)
6.4x = 12.8 (divide by 6.4)
x = 2
PLUG IN
-4/5(-8(2) + 6) = 1 + 7
-4/5(-16 + 6) = 8
-4/5(-10) = 8
8 = 8
1 point
Solve: 0.75 (x + 200) = 150.5 (2 – 28)
type your answer...
Answer:
[tex] \huge \: x = - 5417.33[/tex]
Step-by-step explanation:
[tex]0.75 (x + 200) = 150.5 (2 – 28) \\ [/tex]
Expand the terms and simplify
That's
[tex]0.75x + 150 = 301 - 4214 \\ 0.75x + 150 = - 3913[/tex]
Subtract 150 from both sides of the equation
[tex]0.75x + 150 - 150 = - 3913 - 150 \\ 0.75x = - 4063[/tex]
Divide both sides by 0.75
[tex] \frac{0.75x}{0.75} = - \frac{4063}{0.75} \\ x = - 5417.333333[/tex]
We have the final answer as
x = - 5417.33Hope this helps you
Need help! Please!!
What is the solution to the following system of equations?
3x+2y=15
4x − 5y=−3
A (0.5, 1)
B (3, 3)
C (1, 5)
D) I don’t know
E (3, 2)
What is the sum of zeros in this equation (m-10)(8m-1)=0? Ente4 your ancwer as a fraction. PLSSS I RLLYYY NEEDD HELPP
Answer:
10 [tex]\frac{1}{8}[/tex] = [tex]\frac{81}{8}[/tex]
Step-by-step explanation:
Given
(m - 10)(8m - 1) = 0
Equate each factor to zero and solve for m
m - 10 = 0 ⇒ m = 10
8m - 1 = 0 ⇒ 8m = 1 ⇒ m = [tex]\frac{1}{8}[/tex]
Thus sum of roots = 10 + [tex]\frac{1}{8}[/tex] = 10 [tex]\frac{1}{8}[/tex] = [tex]\frac{81}{8}[/tex]
13. It takes a turtle 3 14 hours to walk 1 72 miles. How many hours does it take to walk one mile? (purple)
Answer:
1.82558139535
Step-by-step explanation:
It takes turtle 314 hours to walk 172 miles.
We need to find for 1 mile how many hours
172 mile/172 is 1 mile
so ratio is 172
314/172= 1.82558139535
Find the greatest common factor of 15y^3 and 9n^4
The answer is 3. The only common factor between the numbers is 3, because 15 is 3 times 5, while 9 is 3 times 3.
Answer:
Greatest common factor: 3
Step-by-step explanation:
Both 15 and 9 have a factor of 3, and that is the biggest number that they share. The answer doesn't have letters in it because y and n are not related.
5/12 divided by 7/8 Plz help!!!!!!!
Answer:
10/21
Step-by-step explanation:
what is the solution of the inequality 4+5x<-19
Answer: x>−3
Step-by-step explanation:
Pull out like factors :
-15 - 5x = -5 • (x + 3)
Divide both sides by -5
Remember to flip the inequality sign
Subtract 3 from both sides
x > -3
Inequality plot for
-5.000 X - 15.000 > 0
Answer:
9
Step-by-step explanation:
How do I convert 1/8 into a decimal ?
Answer:
0.125
Step-by-step explanation:
5/12 x 4/5????????????
Answer:
1/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
5/12*4/5=2/3
help mee
3(2x + 5) - 3 =
PLEASE HELP DUE SOON AND I NEED TO LEAVE FOR WORK!!
Find the value of each variable and the measure of each labeled angle 1-3
Answer:
1.) x = 30 ; 150° 2.) x = 30 ; 50° 3.) x = 40 ; 122°
Step-by-step explanation:
Each one of the problems revolves around vertical angles. Verticle angles are equal to each other.
1.)
5x = 3x + 60
2x = 60 (Subtracted 3x on both sides.)
x = 30 (Divided 2 on both sides.)
Know that we know the variable's value, time to find the angles.
5(30) = 3(30) + 60
150 = 150
This means the angles are 150°.
2.)
3x - 40 = x + 20
2x - 40 = 20
2x = 60
x = 30
3(30) - 40 = (30) + 20
90 - 40 = 50
50 = 50
This means the angles are 50°.
3.)
5x - 78 = 3x + 2
2x - 78 = 2
2x = 80
x = 40
5(40) - 78 = 3(40) + 2
122 = 122
This means the angles are 122°.
The value of x is 30° and the unknown angle is 150°.
We need to find the unknown angles from the given figure.
What are vertically opposite angles?The vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.
From figure 1:
(5x)°=(3x+60)°
⇒5x-3x=60
⇒2x=60
⇒x=30
So, (5x)°=(3x+60)°=150°
From figure 2:
(3x-40)°=(x+20)°
⇒3x-x=60
⇒2x=60
⇒x=30
So, (3x-40)°=(x+20)°=50°
From figure 3:
(3x+2)°=(5x-78)°
⇒5x-3x=78+2
⇒2x=80
⇒x=40
So, (3x+2)°=(5x-78)°=122°
Therefore, the value of x is 30° and the unknown angle is 150°.
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What is 1/6 + 1/6 equal to? Pls show your work
Answer:
2/6
Step-by-step explanation:
Well, both Fractions have common denominators so there is no need for extra work.
So:
1/6
+ 1/6
________
2/6
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5 and each adult ticket sells for $9.50. The auditorium can hold a maximum of 130 people. The drama club must make at least $950 from ticket sales to cover the show's costs. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
5 x+ 9.50 y = 950, x= 38, y = 80
Step-by-step explanation:
I hope this helps. Have a good day!
One possible solution of the inequalities will be (20, 100).
Formation of inequalities and their solution,To form an inequality choose the variables.Point lying in the common region of the inequalities will be the solution of the inequalities.Given in the question,
Cost of student ticket = $5 eachCost of adult ticket = $9.5 eachLet the number of student tickets sold = x
And the number of adult tickets sold = y
First statement states," Auditorium can hold a maximum of 130 people".
Inequality for the statement will be,
x + y ≤ 130 --------(1)
Second statement states, "The drama club must make at least $950 from the tickets sale to cover the show's cost".
Inequality for the statement will be,
5x + 9.5y ≥ 950 ------ (2)
Now use the utility to graph the inequality,
Since, a point (20, 100) lies in the common region (solution area) of the inequalities,
Therefore, one possible solution will be (20, 100).
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what is -2x + 12 divided by 4
Answer:
x=4
Step-by-step explanation:
First set the equation equal to 4:
-2x +12=4
Subtract 12 from both sides:
-2x +12=4
-12 -12
-2x=-8
Then divide each side by -2 to isolate the x:
-2x/-2=-8/-2
x=4
can someone help me?
The expression 5/2k −2 factored is
Answer:
Factored out is 1/2 or 0.5
Step-by-step explanation:
5k - 4 over 2
what is 113.04 rounded to the nearest hundredths place
it would stay the same cause it can't be rounded to the hundredths place
The decimal number 113.04 rounded to the nearest hundredths place as 113.04.
The given decimal number is 113.04.
Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
To round 113.04 to the nearest hundredth consider the thousandths' value of 113.04, which is 0 and less than 5. Therefore, the hundredths' value of 113.04 remains 4.
Therefore, the decimal number 113.04 rounded to the nearest hundredths place as 113.04.
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