Answers
Answer:
A movie is $2.5
A video game is $6
Step-by-step explanation:
Pre-SolvingWe are given that Ann had rented 2 movies and 5 video games for a total of $35.
We also know that she also rented 8 movies and 3 video games for a total of $38.
We want to know how much a movie costs, and how much a video game costs.
If a movie costs x dollars, then a video game costs y dollars.
This means that costwise, 2 movies will cost 2x, and 5 video games will be 5y.
8 movies will cost 8x, and 3 video games will cost 3y.
So, we will have two equations:
2x + 5y = 35
8x + 3y = 38
We now have this system of equations, which we can solve.
Let's solve this by elimination.
To eliminate, we need to clear one of the variables, and solve for the other one.
To do this, we need to make sure that one variable has the same coefficient with opposite signs (e.g. -3x and 3x). We might need to multiply one equation by a number in order to achieve this.
We can multiply 2x + 5y = 35 by -4.
-4(2x + 5y) = -4(35)
-8x - 20y = -140
We can rewrite the equations:
-8x - 20y = -140
8x + 3y = 38
They can be added together. The result will be:
-17y = -102
Divide both sides by 017.
y = 6
We found y, but now we need to find x.
We can substitute 6 as y into 2x + 5y = 35 or 8x + 3y = 38 to find x.
Taking 2x + 5y = 35 for instance:
2x + 5(6) = 35
2x + 30 = 35
Subtract 30 from both sides.
2x = 5
Divide both sides by 2
x = 2.5
Recall that x = price of a movie, and y = price of a video game.
Therefore, a movie is 2.5 dollars, and a video game is 6 dollars.
and a snack is $6
Related Questions
A laundry basket has 24 t-shirts in it. Four are navy, 12 are red, and the remaining are white. Find the following probabilities of choosing one shirt at random.
P(red) =
P(white') =
P(green) =
Answers
Answer:
p(red)=1/2
p(white)=1/3
p(green)=0
Step-by-step explanation:
p(green)=0 because there was no green tshirts in the first place
Answer:p(red)=1/2
p(white)=1/3
p(green)=0
Step-by-step explanation:
p(green)=0 because there was no green tshirts in the first place
The amount of a medicine, in milliliters, that a veterinarian prescribes is proportional to the weight, in kilograms, of a dog as shown on the graph.
What is the unit rate in milliliters per kilogram?
Enter your answer as a decimal in the box.
___ mL/kg
(graph in picture below) + brainliest/50 points
Answers
Pls help 50pts and brainliest
Answers
Answer:a^2 + b^2 = c^2
A school board randomly samples 80 students to determine their opinion on requiring school uniforms for the next school year. The table shows the results of the survey.
If there are 3,000 students in the district, how many students do you expect to be undecided about school uniforms?
Answers
Answer: 900
Step-by-step explanation:
If 24 out of 80 students are undecided, that is 24/80, or 3/10 (0.3).
To find how many would be undecided out of 3,000 students, multiply 3/10 by 3,000/1, and you get 900, which is your answer
Answer:
900
Step-by-step explanation:
A school board randomly samples 80 students to determine their opinion on requiring school uniforms for the next school year. The table shows the results of the survey.
If there are 3,000 students in the district, how many students do you expect to be undecided about school uniforms?
we can solve with an equation
80 : 24 = 3000 : x
x = 24 * 3000 : 80
x = 900
What is the approximate difference between the volume of the sphere and the volume of the cone?
A about 13.6 cm3
B about 16.8 cm3
C about 4.3 cm3
D about 80.6 cm3
Answers
Answer:C
Step-by-step explanation:
An ordered pair of the function d(t) = 35t is _____.
(35, 35)
(35, 1)
(1, 35)
(1, 1)
Which ordered pair is not a solution of f(x) = 2x + 9?
(7, 23)
(3, 14)
(2, 13)
(0, 9)
Answers
the answer to the second one is (3,14)
Mrs. Irons places the names of each of her four children in a hat at one time. She randomly draws a name, places it back in the hat, and draws again. The results are shown in the table below.
What is the experimental probability of selecting the name Alex?
Answers
Answer: 2/5
Step-by-step explanation:
p(e)=no. of observations/total number of observations
4/10
2/5
Isabelle loves to bird-watch and buys a large bird feeder for her yard. The feeder holds 3
3
4
pounds of birdseed. Isabelle wants to fill it with a birdseed mixture that will attract a variety of birds. The birdseed comes in bags that hold 1
1
2
pounds. How many bags' worth of birdseed will it take to fill the feeder?
Answers
Answer:
I think the answer is 3 ¾
Step-by-step explanation:
I just counted the boxes. there are 3 completely filled boxes and one box ¾ of it filled.
hope this helps
Drag each expression to show whether it is equivalent to 8( t+ 4), 8 t+ 4, or neither.
Answers
8(t+4) : 8t+32, (8•t)+(8•4)
Neither are the remaining ones
The number of students in 10 kindergarten classes is shown below.
20, 18, 21, 18, 22, 24, 18, 23, 23, 24
What number of students describes the first quartile?
What number of students describes the third quartile?
What number of students describes the interquartile range?
Answers
Answer:
1. 18
2. 23
3. 5
Step-by-step explanation:
The first quartile is 18, the third quartile is 23, and the interquartile range is 5.
Which unit rate corresponds to the proportional relationship shown in the graph?
Will mark brainliest !!
Answers
Haven't done this kinda problem in a while but I got 4/3 cm/s
Step-by-step explanation:
Using the coordinates given i put them into the formula:
y1 - y2
m=_________
x1 - x2
That gave me -16/-12, I simplified & got 4/3.
To find the slope you need at least two points on a line
The formula would be m=y2-y1/x2-x1
16-0/12-0
16/12
Simplified we would divide by 4 since it goes into both numbers
4/3 as the answer
please answer question in the image below ty <3
Answers
Answer:
Step-by-step explanation:
(9x+13)
Solve the inequality d/4 > 36 for d
A. d < 9
B. d < 144
C. d > 144
D. d > 9
Answers
Answer: D. d > 9
Step-by-step explanation:
We have the inequality:
d/4 > 36
To solve for d, we need to isolate the variable d on one side of the inequality. We can do this by multiplying both sides of the inequality by 4:
d > 36 x 4
d > 144
Therefore, the answer is (D) d > 9, since any value of d greater than 9 would satisfy the inequality. We can also check that the other answer choices are incorrect:
If d < 9, then d/4 < 9/4, which is less than 36. So, (A) d < 9 is not a valid solution.
If d < 144, then d/4 < 144/4 = 36, which is less than 36. So, (B) d < 144 is not a valid solution.
If d > 144, then d/4 > 144/4 = 36, which satisfies the inequality. So, (C) d > 144 is also a valid solution, but not the most inclusive one.
Answer:
the correct answer is option C: d > 144.
Step-by-step explanation:
Math please help (needed in at most and hour)
Answers
Which equation results from adding the equations in this system? Negative 6 x + 4 y = negative 8. 6 x minus 12 y = 14. Negative 16 y = 6 Negative 8 y = 6 Negative 8 y = negative 22 Negative 16 y = negative 22
Answers
Answer:
Negative 8y = 6
Step-by-step explanation:
-6x + 4y = -8
6x - 12y = 14
--------------------------
-8y = 6
I don't know B. :⊂ Find the answer for me please?
Answers
Answer:
For A: The answer is (79-2x) degrees
For B: The answer is (169-2x) degrees
I hope this answer helped you out!
Step-by-step explanation:
I took the test!!!
A flower was 1.6 meters high one week ago. In 7 days it grew 11 centimeters. What is the current height of the flower?
Answers
Answer:
The current height of the flower is 1.71 meters!
I hope this answer helped you!!!
Step-by-step explanation:
I took the test!!!
As you as see by the eraser marks. I’ve been working hard. Pls help me!
Answers
(22 - 4) / 6
The answer would be 3 miles on each of the six days
Answer:
In a week we have 7 days.
On the first day, Clare runs 4 miles.
On the other six days, she runs the same distance, let's call it D.
In total, she runs 22 miles.
Then:
4mi + 6*D = 22 mi
6*D = 22mi - 4mi = 18mi
D = 18mi/6 = 3mi.
Then the other 6 days, Clare runs 3 miles
Hope it helped! :)
The following table shows several ordered pairs of a function, m(x)
x m(x)
-1 -1.5
1 1.5
2 3
4 6
Graph m(x) on a coordinate plane to determine whether or not the function represents a direct variation. In complete sentences, describe your conclusion and reasoning. Include your graph in your answer.
Answers
Answer:
m(x) = 1.5x . . . . direct variation
Step-by-step explanation:
You want to know if the function m(x) represents direct variation, given a table of values.
Direct variationAn equation for direct variation is ...
y = kx
where k is a constant that can be found as the ratio of any (x, y) pair:
k = y/x
k = -1.5/-1 = 1.5/1 = 3/2 = 6/4 = 1.5
The ratios are constant, hence m(x) is direct variation with a constant of variation of 1.5.
GraphThe graph of direct variation is a straight line through the origin. The given points lie on such a line.
HELP MEEEEEEEEEE PLS
If f(n) = n2 - 2n, which of the following options are correct?
Select all that apply.
f(2) = 0
f(-2) = 0
f(1) = 3
f(5) = 35
f(-4) = 24
Answers
Answer:
f(2) = 0
f(-4) = 24
Step-by-step explanation:
[tex] \hookrightarrow \: { \tt{ \sf{f(n) = {n}^{2} - 2n }}}[/tex]
When n is 2 ✔
[tex] \dashrightarrow \: { \tt{f(2) = {(2)}^{2} - (2 \times 2) = 4 - 4 = 0}} \\ [/tex]
When n is -2 ✖
[tex] \dashrightarrow { \tt{ {( - 2)}^{2} - (2 \times - 2) = 4 + 4 = 8 }}[/tex]
When n is 1 ✖
[tex] \dashrightarrow{ \tt{f(1) = {(1)}^{2} - (2 \times 1) = - 1 }}[/tex]
When n is 5 ✖
[tex] \dashrightarrow{ \tt{f(5) = {(5)}^{2} - (2 \times 5) = 15}}[/tex]
When n is -4 ✔
[tex] \dashrightarrow{ \tt{f( - 4) = {( - 4)}^{2} - (2 \times - 4) }} \\ { \tt{ = 16 + 8}} \\ { \tt{ = 24}}[/tex]
Gaspar is riding his bicycle. The graph shows the relationship between time in hours and the miles Gaspar rides. Write an inequality to show the number of hours when Gaspar has ridden more than 80 miles.
Answers
Answer:
Step-by-step explanation:
b
A cylindrical of oatmeal canister has a diameter of 4 inches and a height of 10 inches. The manufacturing company wants to package the oatmeal in square containers to cut back on wasted storage space. If the new carton has a square base with 4 inch sides, what is the minimum height it must have, to the nearest 1/4 inch, to hold the same volume of oatmeal? Use 3.14 for the value of π.
Answers
Step-by-step explanation:
Volume of cylinder = pi r^2 h
Volume of square container = s x s x h
they need to be equal
pi r^2 h = s^2 h
pi (2)^2 * 10 = 4^2 h (diameter = 4 then radius = 2)
40pi / 16 = h = 7.9 in = ~ 8 in to the nearest 1/4 inch
Solve the word problem and ratio table.
Pls help me
Answers
⋆ check image !!!!
⚝ the variability in the data for period 1 is [ ... ] the variability in the data for period 2 .
choices ...
✰ less than
✰ equal to
✰ greater than
Answers
Period 2 greater than 74 less than 97/98
Solve the word problem and ratio table
Answers
Answer:
4
Step-by-step explanation:
5tv
could someone help me?
Answers
Answer:
There are 55 large boxes
and 70 small boxes.
Step-by-step explanation:
Let's assume that the number of large boxes is x, and the number of small boxes is y. We then can use how many pounds each box weighs to form a system of equations.
System:
[tex]50x+25y=4500\\x+y=125[/tex]
Step 1: Solve for a variable
[tex]x+y=125[/tex] is also [tex]y=-x+125[/tex]
Step 2: Substitute
[tex]50x+25(-x+125)=4500[/tex]
Step 3: Simplify
[tex]50x+-25x+3125=4500\\25x=1375\\x=55[/tex]
Step 4: Solve for y
[tex]y=-55+125\\y=70[/tex]
The price of a technology stock was $9.79 yesterday. Today, the price fell to $9.66. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answers
Answer: 1.3%
Step-by-step explanation:
The percentage decrease can be found using the formula:
percentage decrease = [(original value - new value) / original value] x 100%
Substituting the given values:
percentage decrease = [(9.79 - 9.66) / 9.79] x 100%
percentage decrease = 1.33%
Rounding to the nearest tenth of a percent, the percentage decrease is 1.3%.
Answer: hope this helps ♡
The percentage decrease is 1.33%.
Step-by-step explanation:
Percentage decrease: dividing the value by the total value and then multiplying it by 100
Total value: $9.79 Value: $9.79 - $9.66 = 0.13
[tex]\frac{0.13*100}{9.79}[/tex] =
(0.13 × 100) ÷ 9.79 =
13 ÷ 9.79 =
1.32788559755 ≈ 1.33%
Rewrite the false statement to make it true:
Answers
Answer: more than 500 shirts will be washed each day
Step-by-step explanation:
Could someone help me with this quikly
Answers
Answer:
Plan A=3/2 hours Plan B=5/4 hours
Step-by-step explanation:
Plan A equals x
Plan B equals y
So than 3x+2y=7
And 8x+4y=17
Then you multiply the first equation by 2 to get rid of Y. 6x+4y=14 and 8x+4y=17 2x=3 x=1.5 y=1.25
Isabella drove 2 1/3 miles from home to school. Then, she drove 4 3/5 from school to the store and 5 4/5 miles home from the store. Write an addition sentence to show the total number of miles.
Answers
Add 2 1/3 plus 4 3/5 plus 5 4/5 by converting them to improper fractions
Therefore 35/15 + 69/15 + 87/15 equals 191/15 which equals 12 11/15.
Hope this helps, pls subscribe to Mathlete2022.