Answer:
A. 4 city b 6
B. City a, 8, when rounded 10
City b, 12, when rounded 10
C. City A. 2, 3.5, 4, 4, 5.5, 5..... so it's 4
City B. 3.5, 4, 5, 5.5, 6, 6..... so it's 5.25
Step-by-step explanation:
Answer:
A: ⅚
B: ⅚
Step-by-step explanation:
City A: 4, 3.5, 5, 5.5, 4, 2
Mean: sum/n
= 24/6 = 4
|x - mean|: 0, 0.5, 1, 1.5, 0 , 2
MAD = sum|x - mean|/n
5/6 = 0.833
City B: 5, 6, 3.5, 5.5, 4, 6
Mean: 30/6 = 5
|x - mean|: 0, 1, 1.5, 0.5, 1, 1
MAD = sum|x - mean|/n
5/6 = 0.833
The hood above the stove in a restaurant kitchen is filled with fans and other ventilation parts.
How much space is there inside the empty hood?
8 feet cubed
12 feet cubed
36 feet cubed
38 feet cubed
Answer:
B.12 feet cubed
Step-by-step explanation:
We are given that
Height of prism,h=4 feet
Base of triangle,b=3 feet
Height of triangle=l=2 feet
Area of triangular base,B=[tex]\frac{1}{2}bl[/tex]
Using the formula
Area of triangular base=[tex]\frac{1}{2}\times 3\times 2=3ft^2[/tex]
Volume of triangular prism=Bh
Using the formula
Volume of triangular prism=[tex]3\times 4=12ft^3[/tex]
There is 12 cubic feet space inside the empty hood.
Option B is true.
Answer:
B. 12 feet cubed is correct!
Step-by-step explanation:
Hope this helps! :)
Steve decided to buy a box of pizza from another restaurant. The
restaurant is offering a square pizza and a round pizza. Round pizza
has an area of 49 pi square inches. The square pizza has an area of 49
square inches. Which box of pizza will Steve buy if he wants to eat
more crust? Explain your reasoning.
Show your work
Answer:
Round pizza
Step-by-step explanation:
Area of the Round Pizza =[tex]49 \pi[/tex] square inches.
Area of the Square Pizza = 49 square inches.
Recall that: [tex]\pi =\frac{22}{7}[/tex]
Therefore:
Area of the Round Pizza =[tex]49 \pi=49X\frac{22}{7}=154 \:Square \:Inches[/tex]
Since 154 is greater than 49(154>49)
If Steve wants to eat more crust, he will buy the round pizza.
A gardener is planting two types of trees:
Type A is 8 feet tall and grows at a rate of 6 inches per year.
Type B is 10 feet tall and grows at a rate of 4 inches per year.
Algebraically determine exactly how many years it will take for these trees to be the same height.
Answer:
12 years
Step-by-step explanation:
8 feet = 96 inches
10 feet = 120 inches
96 + 6t = 120 + 4t
2t = 24
t = 12
How do you factor 6x^2+x+2
Answer:
[tex]6x^{2} +x + 2[/tex] cannot be factored
Step-by-step explanation:
The equation cannot be simplified so you have to use the quadratic formula
and you will get imaginary numbers from the formula
April rewrote a quadratic function in vertex form.
h(x) = 5x2 – 30x + 30
Step 1: h(x) = 5(x2 - 6x+ + 30
Step 2: h(x) = 5(x2 - 6x + 9) + 30 – 45
Step 3: h(x) = 5(x - 3)2 + 15.
April said that the vertex is (3, 15). Is April correct?
April correctly transformed the quadratic function into vertex form, and the resulting vertex is (3, 15), as determined by the completion of the square method.
Explanation:April is indeed correct about the vertex of the function h(x). The vertex form of a quadratic function is h(x) = a(x - h)^2 + k, where the point (h, k) is the vertex of the parabola. April has rewritten the quadratic function h(x) = 5x^2 - 30x + 30 into vertex form as h(x) = 5(x - 3)^2 + 15, indicating that the vertex is at (3, 15). This can be verified through the completion of the square method, where a perfect square trinomial is created by adding and subtracting the appropriate constant term. April added and subtracted 9 inside the parentheses, which is (6/2)^2, to keep the equation equivalent. Finally, she factored out the coefficient of the quadratic term (5) before completing the square, which is correct.
Samuel and Sebastian go to the movie theater and purchase refreshments for their friends.
Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks.
Sebastian spends a total of $138.00 on 3 bags of popcorn and 12 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
Using these equations, determine and state the price of a drink, to the nearest cent.
Answer and Step-by-step explanation:
samuel---> 1pc+3dr=36.75
sebastian--->3pc+12dr=138
1pc+4dr=46
1pc+4dr=46
1pc+3dr=36.75
so 1 dr=46-36.75=$9.25
4dr is 9.25×4=37
so 1 pc=46-37=$9.00
Answer:
$9.25
Step-by-step explanation:
Cost of popcorn: x
Cost of drink: y
x + 3y = 36.75
x = 36.75 - 3y
3x + 12y = 138
x + 4y = 46
36.75 - 3y + 4y = 46
y = 46 - 36.75
y = 9.25
Every Wednesday, Carla runs 2.5 miles. How many feet did she run?
Answer:
13,200 feet
Step-by-step explanation:
There are 5280 feet in a mile, so multiply 5280 by 2.5
5280*2.5=13,200
So, every Wednesday, she runs 13,200 feet
Hope this helps! :)
x−1.27=4.09
What is x
What is the equation of the line?
Answer:
y=(1/4)x-3
Step-by-step explanation:
To find the equation of a line, use the following equation:
y=mx+b where m is the slope (rise/run) and b is the y-intercept.
The slope of the line is 1/4 and the y-intercept is -3. Just fill it into the problem to get the answer y=(1/4)x-3. Hope this helps! :)
Find the roots of the factored polynomial.
(x + 6)(x + 3)
Answer:
x = -6 x=-3
Step-by-step explanation:
To find the roots, we set it equal to zero
(x + 6)(x + 3) =0
Using the zero product property
x+6 =0 x+3 =0
x = -6 x=-3
Answer:
x=-6,x=-3
Step-by-step explanation:
To solve this question we will have to solve one after another
(X+6)(x+3)
Let equate the equation to zero
So
(X+6)(x+3)=0
X+6=0
Substrate 6 from both sides
X=-6
X+3=0
Substrate 3 from both sides
x=-3
Therefore x=-6,x=-3
Convert -18° to radians.
Answer: -(pi)/10 radians or D on Edge
Step-by-step explanation: correct answer on edge
lines p and q are parallel. what is the measure of angle 3 in degrees?
27°
33°
60°
153°
Margo deposited $100 into a savings account earning 4.5% simple annual interest. At the end of each year, she adds $100 to her account. Fill in the table below to figure out how much money was in Margo's account at the end of 3 years.
Answer:
principal interest total money in account
at the end of year
Year one $100 $4.5 $104.5
year two $200 $ 9 +$4.5 $ 213.5
year three $300 $ 9 +$4.5 + $13.5 $ 327
Step-by-step explanation:
Simple interest for any principal is given by
I = p* r* t/100
I = interest rate accrued on principle amount
p is the amount deposited
r is the rate of interest
t is the time period of saving
_______________________________________________
For year one
p = $100
r = 4.5%
t=1
I = 100*4.5*1/100 = 4.5
_______________________________________________
For year two $100 more is added to already existing $100 in account.
p = 100 +100 = $200
r = 4.5%
t=1
I = 200*4.5*1/100 = 9
_______________________________________________
For year two $100 more is added to already existing $200 in account after two years.
p = 100 +100 +100 = $300
r = 4.5%
t=1
I = 300*4.5*1/100 = 13.5
_______________________________________________
There fore total money in Margo account is
$300 saving deposited by her
$4.5 + $9 + $13.5 = $27 (interest accrued in three time)
Formulating the results in tabular form
principal interest total money in account
at the end of year
Year one 100 4.5 104.5
year two 200 9 +4.5 213.5
year three 300 9 +4.5 + 13.5 327
How can you record hundredths as fractions and decimals?
Hundredths as fractions and decimals is given below.
Step-by-step explanation:
When we write a decimal number, look at the decimal point first. If the last number is two places away from the decimal point, it is in the hundredths place. The number 0.39 would be written as thirty-nine hundredths. The nine is the last number and is in the hundredths place.First, convert the decimal to fraction using tenths, hundredths, thousandths, etc. depending on the number of decimal places. e.g. 1.75 = 1 75/100. Next, simplify the fraction part to the lowest common term. e.g. 75/100 = 3/4.5 hundredths is 5 over one hundred, 5 hundredths as a Fraction is 5/100. If you divide 5 by one hundred you get 5 hundredths as a decimal which is 0.05.To convert a fraction to decimal, we divide the numerator by the denominator using long division and to convert a fraction to percent, we convert the fraction to decimal and the decimal to percent. To convert a percent to decimal or fraction, we divide the percent by 100 and reduce the fraction.4 hundredths is 4 over one hundred, 4 hundredths as a Fraction is 4/100. If you divide 4 by one hundred you get 4 hundredths as a decimal which is 0.04.To learn more about this :
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What are the solutions of 3(x – 4)(2x – 3) = 0? Check all that apply
Answer:
x= 3/2 or x=4
Step-by-step explanation:
Let's solve your equation step-by-step.
3(x−4)(2x−3)=0
Step 1: Simplify both sides of the equation.
6x2−33x+36=0
Step 2: Factor left side of equation.
3(2x−3)(x−4)=0
Step 3: Set factors equal to 0.
2x−3=0 or x−4=0
x= 3/2 or x=4
5x(f-32)divided by 9 for f = 95
Answer:
35x
Step-by-step explanation:
[tex]5x(f - 32) \div 9 \\ = \frac{5x(f - 32)}{9} \\ = \frac{5x(95 - 32)}{9} \\ = \frac{5x \times 63}{9} \\ = 5x \times 7 \\ = 35x[/tex]
A set of points that form a line are called..??
Answer:
collinear points
Step-by-step explanation:
A set of points that form a linear are called collinear points
plz see the attachment
The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2001 there were about 1,200 fish. Write an exponential decay function to model this situation. Then find the population in 2006.
The student's question involves creating an exponential decay function to determine the fish population in Lake Collins after five years, given a starting population in 2001 and a 5% annual decrease. The function is N(t) = 1200e^-rt, with r being 0.05 and t being 5. The estimated fish population for the year 2006 is approximately 935.
The student is asking for an exponential decay function to model the decrease in the fish population at Lake Collins. We are given that in 2001, there were about 1,200 fish, and the fish population is decreasing at a rate of 5% per year. To model this situation, we use the exponential decay formula:
N(t) = N0e-rt
Where:
N(t) is the fish population at time tN0 is the initial fish populationr is the decay rate (as a decimal)t is the time in years since the initial countFor this problem, the initial population N0 is 1,200, the decay rate r is 0.05 (since 5% is 0.05 as a decimal), and the time t we are interested in is 2006 - 2001 = 5 years. Plugging these values into the formula, we get:
N(5) = 1200e-0.05 * 5
Calculating N(5), the fish population in 2006, using the above formula:
N(5) = 1200e-0.25 ≈ 1200 * 0.7788 ≈ 935
Therefore, the estimated fish population in Lake Collins in 2006 would be approximately 935 fish.
ASAP help please!
The Venn diagram represents probabilities associated with two events. A is the event that the student has a regular afterschool activity, and B is the event that the student comes to school by bus. What is the probability that the student has an after-school activity and does NOT come to school by bus?
Answer:
0.22
Step-by-step explanation:
Looking at the Venn Diagram,
the intersection "0.43" means coming via bus and having after-school activity.
"0.12" means students who does not come by bus and who does not have after-school activity.
Now, we want probability of "having after-school" activity (the area A) but NOT COMING VIA BUS (area outside B).
We want the area outside B but within A.
That area is labeled 0.22
Hence,
The probability that the student has an after-school activity and does NOT come to school by bus is 0.22
I need help with slope.
Answer:
For #1, the slope is [tex]\frac{2}{2}[/tex], which could also be written as 1
For #2, the slope is [tex]\frac{1}{4}[/tex]
For #3, the slope is [tex]-\frac{2}{1}[/tex], which could also be written as -2
Step-by-step explanation:
Remember, [tex]\frac{rise}{run}[/tex]
mr williamson bought 4 boxes of chewy granola bars in five boxes of crunchy granola bars. Each box contains the same number of granola bars. He took all 72 granola bars to a class picnic. How many granola bars are in each box?
Answer:
8
Step-by-step explanation:
Total amount of boxes is 9 so divide the total number of boxes into the total granolas. So 72/9=8
Answer:
Step 1: Write an equation.
✔ 4x + 5x = 72
Step 2: Identify and combine like terms.
✔ 9x = 72
Step 3: Use the properties of equality and inverse operations to solve the equation.
✔ x = 8
i need help please !!!!!
Answer:
1. No.
2. No.
3. No.
4. Yes.
Step-by-step explanation:
You just need to sub in the numbers for x and y. For the first one, it is -21 - 8 > 18 which is equal to -29 > 18, so the answer is no. For the second one, it is -21 > 18, so the answer is no. For the third one, it is -14 + 32 > 18 which is equal to 18 > 18, so the answer is no. For the fourth one, it is 56 - 36 > 18 which is equal to 20, so the answer is yes. I hope this helps, please mark me brainliest!
In how many ways can four people sit in a car for a road trip if only two of them can drive?
Answer:
well lets put it in terms of A B C D
so if A and B are the only ones who can drive then we can figure out this pretty easily
ABCD ABDC ACBD ACDB ADCB ADBC
so that's 6 ways
and if B Drives that gives us another 6
so together thats 12
might be wrong have not been in middle school for a while
The top of the lid to a small container is in the shape of a square with a side length of 6 centimeters, as shown. What is the
area of the top of the lid?
Use the formula for the area of a square, A-s. Where Arepresents the area and s represents the side length
O 12 cm
O 24 cm?
O 36 cm
72 cm
Given:
The top of the lid to a small container is in the shape of a square with a side length of 6 centimeters.
We need to determine the area of the top of the lid.
Area of the top of the lid:
The area of the top of the lid can be determined using the formula,
[tex]A=s^2[/tex]
where s is the side length of the square
Substituting [tex]s=6[/tex] in the above formula, we get;
[tex]A=6^2[/tex]
[tex]A=36[/tex]
Therefore, the area of the top of the lid is 36 cm²
Hence, Option C is the correct answer.
PLZ HELP!!!!!!! WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
240 as a percentage
Answer:
240%
Step-by-step explanation:
240 / 100 Answer: 240%
Answer:
240%
Step-by-step explanation:
Alice has two flying disks. One is 12 cm in diameter and the other is 24 cm in diameter. What is the difference between the areas of the two flying disks?
Answer:
432π cm² or 1356.48 cm²
Step-by-step explanation:
The area of a circle is πr²
The area of the disks are 144π and 576π.
576π-144π = 432π
432π ≈ 1356.48 cm²
To find the difference in areas of two circles, calculate the area of each circle using the formula πr² and then subtract the smaller area from the larger one. For Alice's discs with diameters 12 cm and 24 cm, the areas are 36π and 144π square cm respectively, and their difference is 108π square cm.
Explanation:To find the difference in the areas of Alice's two flying disks, first we need to calculate the area of each disk. The formula for the area of a circle (or disk) is πr², where r is the radius of the circle. The radius is half of the diameter, so for the first disk, the radius is 6 cm and for the second disk, the radius is 12 cm.
The area of the first disk is π*(6 cm)² = 36π square cm. The area of the second disk is π*(12 cm)² = 144π square cm. The difference between these two areas is 144π - 36π = 108π square cm.
Learn more about Difference in Circle Areas here:https://brainly.com/question/28653879
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ankur bought a toy for rs 130 and sold it to his friends for 150 .profit incurred by him is
Answer:
Rs 20
Step-by-step explanation:
Profit = selling price - cost price
= 150 - 130
= Rs 20
this is extremely hard and im not very smart:(
Answer:
The answer is B.
Step-by-step explanation:
The picture shows a right-angle triangle which is 90°. So you have to add up the expressions, in order to solve for x :
35° + 5x° = 90