8r and 4r are like terms since they both have an r
also 3s and -3s are also like terms because of the s
A skating rink changes one admission price for adults and a different admission price for children. The total admission price for a group of 4 adults and 10 children is $57. The total admission price for a group of 3 adults and 7 children is $41. What are the admission prices for an adult and for a adult?
Given:
The total admission price for a group of 4 adults and 10 children is $57.
The total admission price for a group of 3 adults and 7 children is $41.
To find:
The admission prices for an adult and for a children.
Solution:
Let the price of an adult be x and price of children be y.
According to the question,
[tex]4x+10y=57[/tex] ...(i)
[tex]3x+7y=41[/tex] ...(ii)
Multiply equation (i) by 3.
[tex]12x+30y=171[/tex] ...(iii)
Multiply equation (i) by 4.
[tex]12x+28y=164[/tex] ...(iv)
Subtract (iv) from (iii).
[tex]12x+30y-12x-28y=171-164[/tex]
[tex]2y=7[/tex]
Divide both sides by 2.
[tex]y=3.5[/tex]
Put y=3.5 in (i).
[tex]4x+10(3.5)=57[/tex]
[tex]4x+35=57[/tex]
[tex]4x=57-35[/tex]
[tex]4x=22[/tex]
Divide both sides by 4.
[tex]x=5.5[/tex]
Therefore, the price for an adult is $5.5 and price for a child is $3.5.
Please help! asap ill brainlist you :(
At midnight there were 5 inches of snow on the ground. Since then, snow has been falling at the rate of ½ inch per hour. Identify the y-intercept.
Answer:
5
Step-by-step explanation:
hope this helps!!!
What is the answer to this smart people answer this show work pls who knows this already
Answer:
10 units
Step-by-step explanation:
LMNO is a square.
All sides of square are equal
MN = LM
3x + 1 = x + 7
3x - x = 7 - 1
2x = 6
x = 6/2
x = 3
LM = x + 7 = 3 + 7 = 10
LM = 10 units
Look at points C and D on the graph:
tag: Coordinate grid shown from negative 6 to positive 6 in increments of 1 on both the axes. A line is drawn by connecting point C at 0, 4 and point D at 3, 1.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (1 point)
Question 11 options:
1) 3.00 units
2) 3.46 units
3) 4.24 units
4) 6.00 units
Step-by-step explanation:
Using Pythagoras' Theorem,
Distance = sqrt[(0-3)² + (4-1)²]
= sqrt[(-3)² + 3²]
= sqrt18
= 4.24 units. (3)
Select all the points that are on the graph of the line 2x + 3y = 6
Answer:
The points are;
X Y
3 0
0 2
12 -6
15 -8
This is in no particular order.
Step-by-step explanation:
During 16 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He accomplished this amazing feat while playing in 280 fewer games than Gordie Howe, the previous record holder. Here are the number of games Gretzky played during each season:
79 82 80 80 74 84 84 79 64 78 73 78 74 86 45 53
Create a box and whisker plot for this data
Determine whether or not there are outliers present
In the form of a paragraph, explain in complete sentences the steps necessary to create the box and whisker plot and to determine whether or not outliers are present. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
Kristi rides her bike to school and has an odometer that measures the distance traveled. She subtracts this distance from the distance to the school and records the distance that remains between her and the school. Find the intercepts. What do the intercepts represent?
The y-intercept represents when she starts riding her bike while the x-intercept is the the time it takes her to get to her school.
How to Interpret x and y intercepts?The complete question shows us a table with time travelled being on the x-axis while distance remaining is on the y-axis.
We see from the table that at 0 minutes travelled, the distance remaining is 5500 ft. Thus, the y-intercept represents when she starts riding her bike at 0 minutes and 5500 ft left to cover.
We see also from the table that after 8 minutes covered, she has 0 ft left to travel. Thus, the x-intercept is the the time it takes her to get to her school which is 8 minutes.
Read more about Intercepts at; https://brainly.com/question/3951754
#SPJ2
What is the solution set for this inequality?
-8x + 40>-16
Answer:
Step-by-step explanation:
-8×+40>-16
Answer:
x > 7
Step-by-step explanation:
-8x+40>-16
You do 40 minus 40, and that cancells it out, then you do -16 minus 40, wich gives you -56, then, you do -1 divided by -8, wich, again, cancels it out, and finally, do -56 divided by -8 wich gives you 7, so, x=7.
please help me with this question
Answer:
it is not linear
Step-by-step explanation:
There are 12 teams in the Jayhook Hockey League. Each team plays every other team twice per season, once at home and once away from home. Last season 34 of the matches played resulted in a tie. Of the others, 18 more were won by the home team than by the away team. 1: How many games did any one particular team play?
Answer:
Each team played 22 games.
Step-by-step explanation:
There are 12 teams in the league, so each team has 11 rival teams. Since each team will play against a rival team twice, that means that each team will need to play 11 x 2 = 22 games per season. Of these 22 games, 11 games will be played at home while 11 games will be played away from home.
We can calculate this by using the following formula:
Total number of games played by each team = (n - 1) x 2, where n is the total number of teams in a league.
Help.......................
Answer:
[tex]A.\ 2x^2-5x-12[/tex]
Step-by-step explanation:
[tex](2x+3)(x-4)\\=(2x*x)+(2x*-4)+(3*x)+(3*-4)\\=2x^2-8x+3x-12\\=2x^2-5x-12[/tex]
C С
800.54 + 90.52 =
Answer: 891.06
Step-by-step explanation:
add 800.54 by 90.52
Find 38% of 92. Round to the nearest whole number.
Answer:
38% of 92 rounded to the nearest whole number is 35.
Step-by-step explanation:
First we need to convert 38% into a decimal, 0.38.
Now we multiply 0.38 and 92.
So:
0.38 × 92 = 34.96
34.96 rounded to the nearest whole number is 35.
HELP ASAP!! WILL MARK BRAINLIEST!!!
Varsha wants to stay in Bolandia City for four nights and has a choice of four hotels. She will stay at the same hotel for all four nights. She requires internet access throughout her stay and breakfast each morning.
Which hotel is the cheapest.
Need steps.
Answer:
First of all i just did this in school! <3 And second of all I WILL HELPP!!
Step-by-step explanation:
its luxuryyyyy!!!!!!!!!
I don't understand.
Answer:
Addition property of equality.
Step-by-step explanation:
You are adding something to both sides of the equation.
Answer:
Addition property of equality
Step-by-step explanation:
A local hamburger shop sold a combined total of 488 hamburgers and cheeseburgers on Friday. There were 62 fewer cheeseburgers sold than hamburgers. How
many hamburgers were sold on Friday?
9514 1404 393
Answer:
275
Step-by-step explanation:
Let h represent the number of hamburgers sold. Then the number of cheeseburgers sold is h-62, and the combined total is ...
hamburgers + cheeseburgers = combined total
h + (h -62) = 488
2h = 550 . . . . . . . . add 62, collect terms
h = 275 . . . . . . . . . .divide by 2
275 hamburgers were sold on Friday.
Can y'all help me please, thanks
Answer:
truwwwwwwweeeeeeeeeeeeeeee
Answer: A
they all divide eachother so
Determine the domain of the following graph:
9
5
2
5
2 +2345
90 m
-
5
och
What is the answer?
Concept: Domain & Range
The domain is defined on the positive and negative y axis Your provided equation was [tex]2 + 2345[/tex]Which is a single integer 2347 which means that domain would be any real value.Write a simplified expression for the algebra tiles below. Remember, variables should be listed first, then constants.
Answer:
❤Sorry if im wrong but -4x❤
Step-by-step explanation:
✌If right plz mark branliest✌
Kelsey's favorite crackers are available in two different sizes. The two different size boxes and their prices are shown. Crunchy Crisp Crackers Crunchy Crisp Crackers Regular Size 10 ounces Large Size 22 ounces $1.75 $3.75
Answer:
[tex]Rate = \$0.175/0z[/tex] --- Regular
[tex]Rate = \$0.1705/0z[/tex] --- Large
Step-by-step explanation:
Required (Missing from the question)
Determine the price per ounce
From the question, we have the following given parameters:
For the regular size:
Size = 10oz
Price = $1.75
For the large size:
Size = 22oz
Price = $3.75
The price per ounce is calculated using
[tex]Rate = \frac{Price}{Size}[/tex]
For the regular size:
[tex]Rate = \frac{\$1.75}{10oz}[/tex]
[tex]Rate = \$0.175/0z[/tex]
For the large size:
[tex]Rate = \frac{\$3.75}{22oz}[/tex]
[tex]Rate = \$0.1705/0z[/tex]
A driver travels 208 miles in 4 hours. what is the driver's speen,in miles per hour ?
___miles per hour
Answer:
52
Step-by-step explanation:
miles per hour so 208, which is miles and 4 which is hours so 208/4 which is 52
Answer:
Hi there,
52 miles/hr
Step-by-step explanation:
we just divide 208 by 4
Laurie filled a container full with water. She put 42
ounces of water in it.
What is the capacity of Laurie's container?
If y varies directly as x, and y = 8 when x = 3, what is the value of y when x = 9?
Answer:
answer is 25
Step-by-step explanation:
becuz i said so
(8x+9)(7x^2+3x+3)
Multiply
Answer:
56x³+87x²+51x+27
Step-by-step explanation:
You have to do box method. Draw a box that 3 by 2 cubes long. On the side that is 3 cubes long. Write 7x² on top of the first cube, 3x on top of the second cube, and 3 on top of the third cube. On the side that is two cubes long, write 8x next to the first cube and 9 next to the second cube.
Which table of values does not represent a function
Answer:
if an input produces more than one output, the table does not represent a function. In this case, table D is not a function. the x value 0 has three different output values, -1, 4, and 6; the input 2 also has three different output values.
(-4,6), (r,10) and m = -2. what is r?
Answer:
-6
Step-by-step explanation:
The formula of slope Y2-Y1/X2-X1
so you actually use this formula equal to -2
10-6/X-(-4) = -2
Situation #3: Jamie can type 243 words in 3 minutes. How many words can
she type in 10 minutes?
Answer:
810 words
Step-by-step explanation:
243 words per 3 minutes
243/3 to get 81 words per minute
81 times 10 = 810
33+44 please help me
Answer:
77
Step-by-step explanation:
Please Help!!
Triangle ABC has vertices A (3,4), B (-5,2), and C (1,4).
Determine
a) an equation for CD, the median from C to AB
i. Find the coordinates of D (th mid point).
25 Points Please help
Answer:
It's Not possible that both answers are correct because one person is adding and the other person is using subtraction meaning one person would have a higher number for there answer and the other person would have a lesser number for their answer. In some cases it's not possible but in other cases it is possible
Step-by-step explanation:
Can i have branliest?
Answer:yes, its possible.
Step-by-step explanation:
Emilio added 6 with -3
While Jim subtracted 3 from 6
Both lead to the same answer 6+(-3)=3,6-3=3