On a field trip, there are 3 adults for every 45 students. Which graph models a relationship
with the same unit rate?
10
9
8
7
6
10
9
8
F
H
0
30 60 90 120 150*
0
30 60
90
120 156
10
9
10
8
6
3
6
5
4
3
2
0
30 60 90 120 150
0
30
60 90 120 150
Answers
Answer:
H (the second graph)
Step-by-step explanation:
Related Questions
Thomas was selling tickets to his school play. The tickets cost $5.00 for adults and $2.00 for children. He sold 200 tickets
and collected $610. Which system represents the number of adult and child tickets that Thomas sold?
O x+y=200
5x+2y= 610
o
X+y=610
5x+2y= 200
O x=
X+ y = 200
x+2y=610
O x+y= 200
5x+y=610
Answers
Answer:
I believe the answer is A
Step-by-step explanation:
on edge
The required system of equations represents the number of adult and child tickets that Thomas sold is x + y = 210 and 5x + 2y = 610. Option A is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Let the number of adult tickets is x and the number of children's tickets be y,
According to the quesiton,
The tickets cost $5.00 for adults and $2.00 for children. He sold 200 tickets and collected $610.
So equaiton models as,
x + y = 210
5x + 2y = 610
Thus, the required system of equations represents the number of adult and child tickets that Thomas sold is x + y = 210 and 5x + 2y = 610. Option A is correct.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ6
Integrate the following:
[tex]\displaystyle \int \frac{x^2}{x^2+x+3}\, dx[/tex]
Answers
Answer:
[tex]\int {\frac{x^2}{x^2+x+3} } \, dx = - \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Completing the SquareRearranging VariablesAlgebra II
Long DivisionCalculus
U-Substitution[Integration Trick 1] Numerator Split[Integration Trick 2] Completing the SquareIntegration Rule 1: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Rule 2: [tex]\int {f(x)+g(x)} \, dx =\int {f(x)} \, dx + \int {g(x)} \, dx[/tex]Integration 1: [tex]\int {\frac{1}{u} } \, du =ln|u| + C[/tex]Integration 2: [tex]\int {\frac{du}{u^2+a^2} } = \frac{1}{a} arctan(\frac{u}{a} )+C[/tex]Integration 3: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} +C[/tex]Step-by-step explanation:
Step 1: Define
[tex]\int {\frac{x^2}{x^2+x+3} } \, dx[/tex]
Step 2: Simplify Function
We do long division to simplify the function inside the function.
See Attachment for Long Division Work.
Once we do long division, our function becomes [tex]1-\frac{x+3}{x^2+x+3}[/tex]
Now we rewrite our Integral: [tex]\int ({1-\frac{x+3}{x^2+x+3} }) \, dx[/tex]
Step 3: Integrate Pt. 1
Distributive Integral [Int Rule 1]: [tex]\int {1} \, dx - \int {\frac{x+3}{x^2+x+3} } \, dx[/tex]Integrate 1st Integral [Int 3]: [tex]x - \int {\frac{x+3}{x^2+x+3} } \, dx[/tex]Step 4: Identify Variables Pt.1
Set variables for u-substitution.
u = x² + x + 3
du = (2x + 1)dx
Step 5: Integrate Pt. 2
Rewrite Integral [Int Rule 1]: [tex]x - \frac{1}{2} \int {\frac{2(x+3)}{x^2+x+3} } \, dx[/tex]Distribute 2 [Alg]: [tex]x - \frac{1}{2} \int {\frac{2x+6}{x^2+x+3} } \, dx[/tex]Rewrite Integral [Alg]: [tex]x - \frac{1}{2} \int {\frac{2x+1+5}{x^2+x+3} } \, dx[/tex]Rewrite Integral [Int Trick 1]: [tex]x - \frac{1}{2} [\int {\frac{2x+1}{x^2+x+3} } \, dx + \int {\frac{5}{x^2+x+3} } \, dx ][/tex](2nd Int) Complete the Square: [tex]x - \frac{1}{2} [\int {\frac{2x+1}{x^2+x+3} } \, dx + \int {\frac{5}{(x+\frac{1}{2})^2 + \frac{11}{4} } } \, dx ][/tex]Step 6: Identify Variables Pt. 2
Set variables for u-substitution for 2nd integral.
z = x + 1/2
dz = dx
a = √(11/4)
Step 7: Integrate Pt. 3
[Integrate] U-Substitution: [tex]x - \frac{1}{2} [\int {\frac{1}{u} } \, du + \int {\frac{5}{z^2 + (\sqrt{\frac{11}{4}})^2} } \, dz ][/tex]Rewrite Integral [Int Rule 1]: [tex]x - \frac{1}{2} [\int {\frac{1}{u} } \, du + 5\int {\frac{dz}{z^2 + (\sqrt{\frac{11}{4}})^2} } ][/tex]Integrate 1st Integral [Int 1]: [tex]x - \frac{1}{2} [ln|u| + 5\int {\frac{dz}{z^2 + (\sqrt{\frac{11}{4}})^2} } ][/tex]Integrate 2nd Integral [Int 2]: [tex]x - \frac{1}{2} [ln|u| + 5(\frac{1}{\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } ) ) ][/tex]Distribute 5 [Alg]: [tex]x - \frac{1}{2} [ln|u| + \frac{5}{\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } ) ][/tex]Distribute -1/2 [Alg]: [tex]x - \frac{1}{2}ln|u| - \frac{5}{2\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } )[/tex]Rationalize [Alg]: [tex]x - \frac{1}{2}ln|u| - \frac{5\sqrt{11} }{11}arctan(\frac{z}{\sqrt{\frac{11}{4} } } )[/tex]Resubstitute variables [Alg]: [tex]x - \frac{1}{2}ln|x^2+x+3| - \frac{5\sqrt{11} }{11}arctan(\frac{x+\frac{1}{2} }{\sqrt{\frac{11}{4} } } )[/tex]Simplify/Rationalize [Alg]: [tex]x - \frac{1}{2}ln|x^2+x+3| - \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} )[/tex]Rewrite [Alg]: [tex]- \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x[/tex]Integration Constant: [tex]- \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x + C[/tex]And we have our final answer! Hope this helped you on your Calculus Journey!
hope this will help you........
Which expression is equivalent to 2x^2 - 2x + 7?
Answers
Answer:
(o,7) vertical intercept
minimum (1/2 , 13/2)
Are the given lines parallel?
y = 1, and y = 5
Answers
Yes, they will be parallel
Given the table, what is the linear equation?
x y
1 7
2 10
3 13
4 16
Answers
Answer:
yes
Step-by-step explanation:
I think this is true. I haven’t done this in a few years.
Mrs.Jones sells houses. She gets a 7% commission on all sales. How much commission would she earn on a house that sells for $200000?
Answers
Answer:
The commission Mrs.Jones gets is 14000 dollars
Answer:
$14,000
Step-by-step explanation:
First, convert the percentage to a decimal and get 0.07. Multiply this by 200,000 and get 14,000. So 7% of 200,000 is 14,000.
50 points.
Record the simplified expression
Answers
Answer:
-4x+5
Step-by-step explanation:
-(4x-2) change sign of each in parenthesis so they are now -4+2
now you have -4x+2+3 add like terms
now you have -4x+5
[tex]\sf \longmapsto−4x+2+3[/tex]
Combine like terms[tex]\sf \longmapsto−4x+2+3[/tex]
[tex]\sf \longmapsto(−4x)+(2+3)[/tex]
[tex]\sf \longmapsto−4x+5[/tex]
The list below shows the different choices of pizka at the local pizza shop:
- pepperoni: 4
- supreme: 7
- cheese: 6
- Hawaiian: 3
Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?
Answers
Answer:
Step-by-step explanation:
can yall do the work of the answer 95 to this
Answers
9514 1404 393
Answer:
? = 95°
Step-by-step explanation:
Long arc QR is twice the measure of inscribed angle QSR, so is 2×95° = 190°. That, together with the remaining short arcs ? and RS will make up the total circle of 360°.
arc QR + arc RS + ? = 360°
190° +75° +? = 360°
? = 360° -265° . . . . . . subtract 265° from both sides
? = 95°
Core Algebra
Englis
Solving for an Unknown Using the Distributive Property
180(n-2)
The equation a = represents the angle measuresya, in a regular n-sided polygon. When the equation is
solved for n, n is equal to a fraction with a denominator of a - 180. What is the numerator of the fraction?
Answers
Answer:
-360
Step-by-step explanation:
I got it right
Help!- How dilations are used in everyday life ? How about similarity transformations ?? How are they meaningful
Answers
Answer: Dilations can be used in architecture in order to make a sample of their final design. They must dilate the scale and measurements to match to their sample.
A you tube plugg in: please check : (
If you could please check out our you tube channel, Evimero Academy
Thank you so much and have a wonderful day
Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25. Find the tip using that method.
Answers
Answer:
tip would be $3.50
Step-by-step explanation:
10% + 5% = 15%
10% of 23.25 is 2.33
5% of 2.33 is 1.17
add 2.33 and 1.17 to get 3.50
Answer:
I would do the question like
10% + 5% = 15% which would equal 3.50
Hope this helped (please mark brainliest)
Please help me I need the answer for this question. correct one please
Answers
thus ,
x + 50 degree + 55 degree = 180 degree
x = 75 degree
The table shows the distance Shannon ran over a week.
Day
Tuesday
Length {km)
5
2
6
Wednesday
1911 DO NOT
Friday
Saturday
How many more kilometers did Shannon run on Friday than on Saturday?
kilometer
PLEASE HELP
Answers
Answer:
Shannon run 1.5 km more on Friday than on Saturday.
Step-by-step explanation:
From the given table
Distance run on Friday = 4/2 = 2 kmDistance run on Saturday = 1/2 = 0.5 kmIn order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.i.e.
Friday run - Saturday run = 2 - 0.5
= 1.5 km
Thus, Shannon run 1.5 km more on Friday than on Saturday.
Please help! I am so bad at math!
Answers
Answer:
PR=12
Step-by-step explanation:
2x+6=3x-6
6=x-6
12=x
Ms. Guthrie spent 80% of her cash on gifts.
What fraction of her cash did she spend on gifts?
She spent type your answer...
of her cash on gift.
Answers
Answer:
She spend (8/10) or (4/5) of her cash on gift.
Step-by-step explanation:
4/5 is simplified.
but not simplified its 8/10
1. Solve 6(x - 2) = 2(x + 12).
Answers
Answer:ok so. X= 9.
Step-by-step explanation: Step by Step Solution
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): Dot was discarded near ").".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*(x-2)-(2*(x+12))=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
(6 • (x - 2)) - 2 • (x + 12) = 0
STEP
2
:
Equation at the end of step 2
6 • (x - 2) - 2 • (x + 12) = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
4x - 36 = 4 • (x - 9)
Equation at the end of step
4
:
4 • (x - 9) = 0
STEP
5
:
Equations which are never true:
5.1 Solve : 4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : x-9 = 0
Add 9 to both sides of the equation :
x = 9
One solution was found :
x = 9
here you go
Answer:
6x-12=2x+24
combine like terms
4x-12=24
add 12 on both sides
4x=36
divide by 4
answer is:x=9
Step-by-step explanation:
help please I will give brainiest
Answers
If not I’m sorry
Determine whether the following graph represents a function
Answers
Yes because it has only one y intercept
Step-by-step explanation:
Anything that has more than one y intercept isn't function.
Answer:
Yes
Step-by-step explanation:
the function doesnt go straight up, you cant have the same x coordinate, it doesnt work out
PLZZ HELPP IM FAILLING THIS CLASS
Answers
Answer:
cups
0.14 and 0.098
plates
0.1375 and 0.144
silverware
0.047 and 0.129
Total:
30.25
Step-by-step explanation:
5.60/40 and 4.90/50
40 count and 50 count
cups
0.14 and 0.098
2.75/20 and 3.60/25
plates
0.1375 and 0.144
9.85/210 and 12.90/100
silverware
0.047 and 0.129
Total:
(5.60+4.90)*(0.85)+(2.75+3.60)*(0.85)+(9.85+12.90)*(0.70)
=30.2475
round
30.25
Answer:
The answer to your question is 30.25
Step-by-step explanation:
Hope I helped! Sorry if not. Have a wonderful day and an even better Christmas break! Happy Holidays! Remember to focus on the positive and follow me please! Thanks, Bye! ;D
Find the slope between the points: (3,4) and (-1,-2)
Answers
Answer:
3/2 hope this helps hqhahjajja
A hairdresser receives a discount on each comb purchased. The original price of each comb is x dollars. The hairdresser purchases 15 combs for a total of (15x-45) dollars. By how much is each comb discounted?
Answers
Answer:
$3
Step-by-step explanation:
Given that:
Price of each comb = $[tex]x[/tex]
15 combs were purchased in = $[tex](15x-45)[/tex]
To find:
Amount of discount offered on each comb.
Solution:
First of all, let us calculate the price of 15 combs at the price of $[tex]x[/tex] each.
Original Price of 15 combs = Price of one comb [tex]\times[/tex] Number of combs = $15[tex]x[/tex]
Now, there is some discount provided on the purchase of 15 combs.
Discount offered on 15 combs = Original price of 15 combs - Discounted price of 15 combs = [tex]15x- (15x-45)[/tex] = $45
Discount offered on each comb = Discount on 15 combs divided by 15
Discount offered on each comb = [tex]\frac{45}{15}[/tex] = $3
HELPP ASAPPPPP
Evaluate ym if y=5 and m=4
Answers
Answer:
20
Step-by-step explanation:
ym
If y=5 and m= 4, then plug in both values and multiply 5 x 4. This equals to 20.
find the slope of the following 2 points (2,-5), (9,3)
Answers
Answer:
8/7
Step-by-step explanation:
(2,-5) (9,3)
3-(-5)=8 because you apply your keep change change
9-2= 7
so 8/7
Explain how you know when 2 ratios are proportional.
Answers
Answer:
Ratios are proportional when they represent the same relationship.
Step-by-step explanation:
Such as: finding equivalent fractions
Answer:
Ratios are proportional if they represent the same relationship.
Step-by-step explanation
One good way to tell is to make them fractions and then reduce them. If the reduced fractions are the same, you ratio is proportional! Good luck !
What is the value of the expression 10 25 32 64
Answers
Answer:
its 10
Step-by-step explanation:
2x5=10 or 2+2+2+2+2=10
Answer:
it is 32
Step-by-step explanation:
2x2x2x2x2=32
A jar has twenty-three coins consisting of dimes and nickels. The total amount of money is $1.90. How many dimes and nickels are there?
Answers
Answer:
8 nickels=.40
15 dimes=1.50
The number of dimes is 15 and the number of nickels is 8.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A container has 23 coins comprising dimes and nickels. The aggregate sum of cash is $1.90.
Let d be the number of dimes and n be the number of nickels. Then the equation is given as,
d + n = 23 ...1
0.1d + 0.05n = 1.90 ...2
From equations 1 and 2, then we have
0.1(23 - n) + 0.05n = 1.90
2.3 - 0.1n + 0.05n = 1.9
0.05n = 0.4
n = 8
Then the number of dimes is given as,
d + 8 = 23
d = 23 - 8
d = 15
The number of dimes is 15 and the number of nickels is 8.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
1. Calculate the value of x in the following diagram. 53 - Y IN Q 5x 18
Answers
Answer:
x = 7
Step-by-step explanation:
QY = 5x
YZ = 18
QZ = 53
Thus:
QY + YZ = QZ (segment addition postulate)
5x + 18 = 53
5x = 53 - 18 (subtraction property of equality)
5x = 35
Divide both sides by 5
x = 7
20. A community is having a Taste of the Town event featuring dishes from the area’s best restaurants. The cost of admission is $25 in advance and $35 at the door. There are x people who pay in advance. A total or 530 tickets are sold. Which equation can be used to find the total amount, s, of money from ticket sales?
Answers
Answer:
18550 - 10x
Step-by-step explanation:
Given that :
Cost of admission in Advance = $25
Cost of admission at the door = $35
Number of people who paid in advance = x
Total number of tickets sold = 530
Total amount made from ticket sales will be :
(Number who paid in advance * cost) + (number who paid at the door * cost)
(25 * x) + (530 - x) * 35
25x + 18550 - 35x
18550 - 10x
HELP PLEASEEE. Write in slope intercept form
5x - 3y = -9
a. y = 5/3x - 3
b. y = 3/5x + 3
c. y = 5/3x + 9
d. y = 5/3x +3
Answers
Answer:
d
Step-by-step explanation:
i think it D im not tooo sure
