Answers
Answer:
17 rows
Step-by-step explanation:
We know that f(x) = 2x² - 10x models the total number of spaces and x models the number of rows.
Since we are given the total number of spaces of 408. We let f(x) = 408
2x² - 10x = 408
Now we solve as a quadratic, subtract 408 to both sides
2x² - 10x - 408 = 0
Divide 2 on both sides
x² - 5x - 204 = 0
We look for terms that multiply to -204 and add to -5.
Those terms are -17 and 12
x² - 17x + 12x - 204 = 0
x(x-17) + 12(x-17)
(x+12)(x-17)
x = -12 x = 17
We can not have -12 rows but we can have 17 rows.
17 rows is the answer.
Related Questions
please help me out !
Answers
Answer:
NO
Step-by-step explanation:
Try the offered solution to see if it works
y = 1/2x -7 . . . . for (x, y) = (-4, -5)
-5 = 1/2(-4) -7 = -2 -7
-5 = -9 . . . . . . false
The point does not satisfy the function. (NO)
How many solutions does the system of equations in the graph have? Help ASAP!
Answers
Answer:
There is one solution.
Step-by-step explanation:
There is one intersection.
Twelve disks with the given measurements are stacked on top of each other. Which expression does NOT give the volume of the cylinder that is formed?
Answers
Answer:
The answer is the top right corner. (pi* 3* 12^2)
I did this in TTM
Answer:
π⋅3⋅12^2
Step-by-step explanation:
Describe a system of equations that has infinitely many solutions.
Linear equations
Answers
Answer:
when the lines are coincident, and they have the same y-intercept
Step-by-step explanation:
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 510 miles on 20 gallons of gas. How far could you drive on 65 gallons of gas?
Answers
Answer:
The answer is 1,657.5 miles
Step-by-step explanation:
First divide 510 by 20 510 ÷ 20 = 25.5 into 65 = 1657.5
Given that test of a new car results in 510 miles on 20 gallons of gas. By unitary method, you can drive miles on 65 gallons of gas.
Unitary method is a method of solving a problem wherein to find the value of k units, you first calculate the value of one item, then multiply the value of the one item to k.
Given in the question,
distance covered in 20 gallons of gas = 510 miles
distance covered in 1 gallons of gas = [tex]\frac{510}{20} = 25.5[/tex] miles
distance covered in 65 gallons of gas = 25.5 * 65 miles = 1657.5 miles
Learn more about unitary method here
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Which expression represents the value, in dollars, of a certain number of quarters, q, and dimes, d?
0.35qd
0.35q + d
0.10q + 0.25d
0.25q + 0.10d
I am in middle school.
Answers
Gabriel is building a flower box for his garden. He is building a cube
without a top so that he can fill it with soil. He needs to calculate
the surface area to determine how much wood he needs. The
length of the box is 3 feet.
Which expression will give him the surface area?
O 3x3x6
O 3x3x3
O 3x3x5
O 3+3+3
Answers
Answer: 3*3*5 because each square is 3 by 3 and there are 5 faces which you need wood on -> there is no top face.
20. What is the greatest prime factor of 3^7+6^6 ?
Answers
Answer:
67
Step-by-step explanation:
3^7 = 2187
6^6 = 46656
46656+2187=48843
Prime factors of 48843: 3, 3, 3, 3, 3, 3, 67
Factor tree:
48843
| \
16281 3
| \
5427 3
| \
1809 3
| \
603 3
| \
201 3
| \
67 3
I WILL GIVE 100COINS
Answers
#1
10,7.5,9,12,7.5,8[tex]\\ \rm\Rrightarrow Mean=\dfrac{10+7.5+7.5+9+12+8}{6}=\dfrac{54}{6}=9[/tex]
#2
12,12,11.5,11.5,12.5,13[tex]\\ \rm\Rrightarrow Mean=\dfrac{12+12+11.5+11.5+12.5+13}{6}=72.5/6\approx 12[/tex]
Circle E has a radius of 5.3 meters.
F
G
¯
is a chord and
H
E
↔
is a perpendicular bisector of
F
G
¯
. If FG = 7.3 meters, calculate the distance of IH .
Answers
Answer:
1.46m
Step-by-step explanation:
construction ; join EF
we know that EF is a radius, so EF = 5.3m
In triangle EFH,
∡EHF = 90° (EH is the perpendicular bisector of GF)
FH = FG/2 = 7.3m / 2 = 3.65m (EH is the perpendicular bisector of GF)
According to pythagoras theorem,
FH² + EH² = EF²
3.65² + EH² = 5.3²
EH² = 5.3² - 3.65²
EH² = 28.09 - 13.32 = 14.77m
EH = √14.77m
EH = 3.84m
EI is a radius, so EI = 5.3m
IH = EI - EH
= 5.3m - 3.84m
= 1.46m
9168 divided by 24 long division
Answers
Answer:
382
Step-by-step explanation:
Solve the proportion. i need help.
x+3/6=8/3
x=?
Answers
Answer:
x = 2 1/6 (13/6)
Step-by-step explanation:
to solve the proportion you must first find the LCF or least common factor
that is 6
so turn 8/3 into 16/6 by multiplying it by 2/2
x + 3/6 = 16/6
then you subtract 3/6 from both sides
x = 13/6
x is 2 1/6
Hope the attachment helps
Which equation represents a linear function?
Answers
Answer:
D)y=1/4x
Step-by-step explanation:
Its the only answer that is a straight line
Answer:
(D) y = 1/4x
Step-by-step explanation:
(A) is incorrect because that is an absolute value function. This causes the graph to look like a sharp "v".
(B) is incorrect because that is an exponential function. This is because the "x" is raised to the second power. The graph would resemble a "u".
(C) is incorrect because that is an exponential function. This is because the "x" is raised to the third power. The graph would resemble a "u".
(D) is correct because the "x" is only raised to the first power. The base equation for a linear function is y = mx + b. The graph would resemble a straight line.
Hello I need help on this math question
BRAINLIEST For the fastest correct answer
Lateral Area = 37.68 in squared
Total surface area =
Answers
Answer:
94.2 in squared
Step-by-step explanation:
lateral area plus area of both flat sides
37.68 + 2(3.14*3^2)
37.68 + 56.52 = 94.2 in squared
5(b + 3)
I think that this question is really hard for some reason
Answers
Answer: 5(b+3) is b = 3
Step-by-step explanation:
1) 5(b+3) - distribute
2) 5b = 15
3) [tex]\frac{5b}{5} =\frac{15}{5}[/tex] - divide
4) b = 3 - solution
Mrs. Adesso wants to take her class on a trip to either the science center or the natural history museum. The science center charges $7 per student, plus $75 for a guided tour. The natural history museum charges $8 per student, plus $50 for a guided tour. For what number of students is the cost of the trip the same at each museum?
Answers
Answer:
25
Step-by-step explanation:
see picture for work!
what is the factored form of x^2-x-2
Answers
Answer:
(x-2),(x+1)
Step-by-step explanation:
Jess is having a private party at the bowling alley. The party costs $99 plus $3 per person who attends. Which expression can Jess use to figure out the total amount of money she owes at the end of the party?
EXPLAIN YOUR ANSWER
33x
33+x
99+3x
99x+3
Answers
Answer:
99+3x
Step-by-step explanation:
99+3x completely shows the party's situation. $99 for the party itself "plus" $3 for everyother person who attends. A. 33x forgets the 99 dollars for the party, B. does the same except it adds the x variable, D is inccorect becuase it multiplies the other guest by 99 but they should be multiplied by 3.
I hope this helps! If so pleas emark brainliest and rate<33
Answer:
99+3x
Step-by-step explanation:
Given the following:
The party costs $99 plus $3 per person who attends.To Solve:
⇒ Which expression can Jess use to figure out the total amount of money she owes at the end of the party?
Solution:
Since, we don't know the total amount of money she owes at the end of the party. Total amount of money she owes at the end of the party = x
Hence, $99 plus $3 (x)
Which equal
99+3x
Also, 33x, 33 + x, and 99x+3 didn't clearly shows the party's situation given. Hence, the Best Answer is 99+3x
You can also refer to the picture below
~Learn with Lenvy~
Can someone help me with this question? I’ll mark you brainliest!!!
A. Use the center of rotation point C and roatate point P clockwise around it 90°. The image is P'.
What is the coordinate of P'?
P'=( _ , _ )
B. With center of rotation point C and roatate point P' clockwise around it 90°. The image is P''.
What is the coordinate of P''?
P''=( _ , _ )
Answers
Answer:
A. P' = (9, -2)
B. P" = (1, -4)
Step-by-step explanation:
To make it easier to understand, make point C the origin (0 , 0). From that, you will notice point P is 3 units right and 5 units up of point C, meaning the coordinates of point P is (3, 5). A 90° rotation clockwise on point P (3, 5) is (5, -3). Since point C is 4 units right and 1 unit up from the actual origin, we will add that to (5,-3); (5 + 4, -3 + 1) = (9, -2). Therefore, P' = (9, -2).
Knowing the coordinates of P' allows us to figure out the coordinates of P''. Once again, we'll make point C the origin, meaning P' would be at (5, -3). Like we did before, we will perform a 90° rotation clockwise of (5, -3) to get (-3, -5). Lastly, add back the appropriate amount of units to (-3, -5) to make point C the center of rotation in this example; (-3 + 4, -5 + 1) = (1, -4). Therefore, P" = (1, -4).
Please note that this is only my method of solving translations. Please consult more official sources if you want to learn more. Other than that, I hope this helps!
Can someone help me with this question? I’ll mark you brainliest if you answer!!!
Answers
If jake runs 3 miles in 36 minutes how many miles could he run in 60 minutes
Answers
Answer:
5 miles
Step-by-step explanation:
We will use the method of cross multiplying and dividing.
You will multiply 60 x 3
Then, take the answer (180) and divide it by 36.
That will give you 5 and your answer.
Hello people ~
The sides of a triangle are 5, 12 & 13 units. Check if it has a right angle or not.
Answers
Step-by-step explanation:
The sides of triangle are 5,12 and 13
Here, the greatest side is 13
Therefore,
13²=5²+12²169=25+144169=169 (True)Hence, these sides will form a right angled triangle.
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
To check if the triangle is congruent or not, we have to see if they form Pythagorean triplet, that is :
sum of squares of smaller sides should be equal to square of the longest side.
let's check it out ~
[tex]\qquad \sf \dashrightarrow \: {5}^{2} + 12 {}^{2} = {13}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: {25}^{} + 144 = 169[/tex]
[tex]\qquad \sf \dashrightarrow \: 169= 169[/tex]
Therefore, the sides 5, 12 and 13 forms a right angle.
Marissa walks the neighbor’s dogs every afternoon after school. She charges a flat fee of $15.00 per week plus $4.00 per hour. If she walks the dogs for a total of 5 hours in one week, what is the total amount that she earns for that week?
Answers
Answer:
$35
Step-by-step explanation:
15 dollar per week plus 5 x 4 is 15+20 dollars or 35 dollars.
Can anyone solve this?
Answers
Answer:
x = 8cm
Step-by-step explanation:
x = 3cm + 5cmx = 8cm#IhopeThisHelp
Jasmine bought a 4 kg block for modeling clay she wants to divide it into eight equal blocks what will the mass of each block in grams
Answers
Answer:
The mass of each block is 500 grams.
Step-by-step explanation:
4 kg = 4000 grams
Now we divide,
4000 / 8 = 500
Our final answer should be 500.
Select the correct answer. Consider the function f(x) = 10x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)? A. The graph of g(x) is the graph of f(x) shifted up by a factor of . B. The graph of g(x) is the graph of f(x) compressed vertically by a factor of . C. The graph of g(x) is the graph of f(x) stretched vertically by a factor of . D. The graph of g(x) is the graph of f(x) shifted to the right by a factor of .
Answers
Answer:
most likely 43
Step-by-step explanation:
fr.
What is the value of 1/2 (4)
Answers
Answer:
2
Step-by-step explanation:
We are being asked to multiply the fraction 1/2 * 4
1/2 *4
4/2
Simplify by dividing the top and bottom by 2
2/1
2
What is the following quotient? startfraction 2 over startroot 13 endroot startroot 11 endroot endfraction startroot 13 endroot minus 2 startroot 11 endroot startfraction startroot 13 endroot startroot 11 endroot over 6 endfraction startfraction startroot 13 endroot startroot 11 endroot over 12 endfraction startroot 13 endroot minus startroot 11 endroot
Answers
A quotient is a quantity that is obtained by dividing two integers. The quotient of the division [tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex] is (√13-√11).
What is a quotient?A quotient is a quantity that is obtained by dividing two integers. The quotient is a term that is widely used in mathematics to refer to the integer component of a division, as well as a fraction or a ratio.
In order to find the quotient of the fraction, we need to take the rationalise of the fraction.
[tex]\dfrac{2}{\sqrt{13}+\sqrt{11}} \\\\\\ =\dfrac{2}{\sqrt{13}+\sqrt{11}} \times \dfrac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}\\\\\\= \dfrac{2(\sqrt{13}-\sqrt{11})}{(\sqrt{13})^2-(\sqrt{11})^2}\\\\\\= \dfrac{2(\sqrt{13}-\sqrt{11})}{2}\\\\=(\sqrt{13}-\sqrt{11})[/tex]
Hence, the quotient of the division [tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex] is (√13-√11).
Learn more about Quotient:
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Answer:
D.) StartRoot 13 EndRoot minus StartRoot 11 EndRoot
Step-by-step explanation:
on edge took the test .
An amount of $24,000 is borrowed for 7 years at 8.75% interest, compounded annually. If the loan is paid in full at the end of that period, how m
paid back?
Use the calculator provided and round your answer to the nearest dollar.
Answers
Answer:
43173
Step-by-step explanation:
24000(1.0875)^7 = 43173.39
A real estate builder wishes to determine how house size (House) is influenced by family income (Income), family size (Size), and education of the head of household (School). House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is in years. The builder randomly selected 50 families and ran the multiple regression. The business literature involving human capital shows that education influences an individual’s annual income. Combined, these may influence family size. With this in mind, what should the real estate builder be particularly concerned with when analyzing the multiple regression model?
Answers
When analyzing the multiple regression model, the real estate builder should be concerned with Multicollinearity.
What is Multicollinearity?This is a phenomenon in regression analysis where some of the independent variables are correlated. This can present an issue because the correlation leads to less reliable results.
The income in this research is influenced by the education and they both influence family size. There is therefore an issue of multicollinearity here because some variables are correlated.
Find out more on Multicollinearity at https://brainly.com/question/16021902.