12. ALGEBRA Sherri Cole found that the 12-ounce can of frozen orange juice
sells for $0.16 less than the 16-ounce can, which is $0.68 less than the
24-ounce can. If the unit price of the 24-ounce can is $0.005 less than the
unit price of the 12-ounce can, which of the three is the best buy based
on the lowest unit price?
Answer:
96 = x
Step-by-step explanation:
I'm going to use cents instead of dollars because I find decimals and fractions to be cumbersome. I assume you meant $.005 instead of 4.005.
Let x denote the price (in cents) of the 12-ounce can. Then the price of the 16-ounce can is (x + 16) cents, and the price of the 24-ounce can is ((x + 16) + 68), or (x + 84) cents.
The unit price (cents per ounce) of the 12-oz can is x/12
The unit price of the 16-oz can is (x + 16)/16
The unit price of the 24-oz can is (x + 84)/24
You are told that, in terms of x,
(x + 84)/24 = x/12 - 0.5
Multiply both sides by 24:
x + 84 = 2x - 12
Solve for x:
96 = x
So the unit prices (in cents per ounce) are:
12 oz: 96/12 = 8 cents/oz
16 oz: 112/16 = 7 cents/oz
24 oz: 180/24 = 7.5 cents/oz
So the 16 ounce can is the best buy based on lowest unit price.
In this exercise we have to use the knowledge of finance to calculate the best price to be offered, in this way:
[tex]12 oz: 96/12 = 8 cents/oz\\16 oz: 112/16 = 7 cents/oz\\24 oz: 180/24 = 7.5 cents/oz[/tex]
Some values should be simplified as they were informed in the statement:
The unit price (cents per ounce) of the 12-oz can is x/12The unit price of the 16-oz can is (x + 16)/16The unit price of the 24-oz can is (x + 84)/24So putting together an equation with these values and terms informed we find that:
[tex](X + 84)/24 = X/12 - 0.5\\X + 84 = 2X - 12\\X=96[/tex]
So with the value of X found it is only necessary to use the previous equations and replace this value.
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help me pls this is 8th grade math fastest answer gets brainliest show work pls
Answer:
1: x ^11
2: y ^12
3: x^ 7
Step-by-step explanation:
In 1 we give the sum
In 2 we give the multiple
In 3 we minus
Answer:
1. x^11 2. x^7 3. y^12
Step-by-step explanation:
1. you add the exponents together 8+3 = 11 2. you subtract the exponents 9-2=7 3. you multiple the exponents 4x3=12
Find the angle which is equal to its supplement.
Answer:
the angle which is equal to its supplement is 90 degree
A shoe store recorded the price (in dollars) of 175 pairs of women's shoes and 175 pairs of men's shoes. The data collected was used to create the following table.
Picture
Which statement accurately describes the difference in the price of men's and women's shoes at this store?
The price of women's shoes varies less than men's shoes.
Most of the men's shoes in the data set cost more than women's shoes.
Most of the women's shoes in the data set cost more than men's shoes.
The price of men's shoes has a higher interquartile range than that of women's shoes.
Answer:
Most of the men's shoes in the data set cost more than women's shoes.
Step-by-step explanation:
From what I could tell it can't be The price of men's shoes has a higher interquartile range than that of women's shoes. becuse that's false what looks to fit is Most of the men's shoes in the data set cost more than women's shoes. since on the graph more of the mens vaules are bigger
Dorothy is thinking of two numbers. The sum of the two numbers is 40 and the difference is 6. Write a system of equations and use the elimination method to find the two numbers.
Answer:
x = 23
y = 17
Step-by-step explanation:
x = 1st number
y = 2nd number
System of Equations:
x + y = 40
x - y = 6; this can be used as x = 6+y
6+y + y = 40
6 + 2y = 40
2y = 34
y = 17
x + 17 = 40
x = 23
Help Please I am really confused whoever helps gets Brainliest (if its correct)
Answer:
hi :)
910
use a percantage calculator, i looked it up and 182 percent of 500 would be 910
Step-by-step explanation:
Vedant runs around a square park of side 42m, three times. Rehan runs around a rectangular park of length 40m and breadth 18m, five times. Who covers more distance? By how much?
Answer:
Rehan;
76m
Step-by-step explanation:
Distance covered by running around square park :
Perimeter of square = 4s ; s = side length of square
Perimeter = 4 * 42m = 168 m
Total distance covered = 168m * 3 = 504m
Distance covered by running around rectangular park :
Perimeter of rectangle = 2(l + w) ;
Perimeter = 2(40 + 18) = 2(58) = 116 m
Total distance covered = 116m * 5= 580m
580m - 504m = 76m
Rehan covered more distance
9.
Giselle pays $210 in advance on her account at the athletic club. Each time she uses the club, $15 is deducted from the account. Model the situation with a linear function.
b = 195 – 15x
b = 210 + 15x
b = 195 + 15x
b = 210 – 15x
answerr to –m+8–9m+–8m+–10m
Answer:
USE THIS APP AS A GUIDE DO NOT USE IT AS AN ANSWER KEYYYYYY!!! ALRIGHT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
https://photomath.app/en/
Answer:
-28m+8
Step-by-step explanation:
Combine like terms
(-m + -9m + -8m + -10m) + (8)
question: determine whether the set of numbers in each table is proportional. if the relationship is proportional, identify the constant of proportionality. Explain your reasoning
Answer:
chicken wing chicken wing hot dog and baloney chicken and macaroni chillen with my homie
Step-by-step explanation:
The value of W is inversely proportional to m. If w=8 then m=25, What is m when W is 20?Show me all the steps please?
Answer:
m = 10
Step-by-step explanation:
The values of w is inversely proportional to m
Mathematically the above statement is expressed as:
w ∝ 1/m
w = k × 1/m
w = k/m
Where k is the Proportionality Constant
First step
Solve for k
If w=8 then m=25
w = k/m
8 = k/25
Cross Multiply
k = 25 × 8
k = 200
Second step
what is m when w=20? Show me the steps please
We solve for m
w = k/m
k = 200
20 = 200/m
Cross Multiply
20m = 200
m = 200/20
m = 10
when a grizzly bear hibernates its heart rate drops to 10 beats per minute, which is 20% of its normal value.
question: what is a grizzly bear's normal heart rate when not hibernating?
__________ beats per minute.
Answer:
10 is 20% of 50.
50 beats per minute
I need help ASAP!!!!!!!!!!!!!!!!!!!
Answer: Length of each side of the building block will be 1 feet.
Answer:
23/45
Step-by-step explanation:
someone pls lend a hand pls
Answer:
136
Step-by-step explanation:
10x5=50
10-6=4
4x8x.5=16
10x7=70
50+16+70=136
Determine the intercepts of the line
PLEASE HELP I SUCKKK AT THIS
Triangle ABC is similar to triangle XYZ. Solve fort. t=1 С 13.5 12 А A 19.5 B 4 Y 2 4.5 t Х
Answer: 6.5
Step-by-step explanation:
help me with is please the question is in the picture
Answer: the answer is b or 6.48
Step-by-step explanation:
Please help. Easy consumer math.
Which of the two vehicles has a higher total cost after two years?
a. SUV
b. Car
c. They are the same.
The total cost of the vehicle is higher for the car
What are Linear Equations?An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution
On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.
Given data ,
Let the linear function be represented as A
Now , the value of A is
The total cost for the SUV is given by
y₁ = 2,840x + 17,980
And , the total cost for the car is
y₂ = 3,210x + 17,980
when x = 2 years
y₁ = $ 23,660
y₂ = $ 24,400
The cost of the car is greater than cost of the SUV
Hence , the linear equations are solved
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Solve for x: 2 over 3 (x − 2) = 4x. (1 point)
negative 2 over 5
negative 5 over 2
2 over 5
5
2x - 4 = 2( x - 1 ) + 3
Which of these is a geometric sequence?
A. 3, 6, 9, 12,...
B. 2, 3, 5, 9, 17
C. 4, 2, 1, 1/2, 1/4
D. 3,-15, -33, -51, -69,
Answer:
C. 4, 2, 1, 1/2, 1/4
Step-by-step explanation:
Geometric is normally either division or multiplication sequences. C has the division sequence of dividing by 2.
A would be an example of an arithmetic sequence.
The series 3, 6, 9, 12,... and 4, 2, 1, 1/2, 1/4 are geometric series.
Options A and C are the correct answer.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
We have,
Looking at the options:
A.
3, 6, 9, 12,... is a geometric sequence with a common ratio of 2.
Each term is found by multiplying the previous term by 2.
B.
2, 3, 5, 9, 17 is not a geometric sequence because there is no constant ratio between terms.
C.
4, 2, 1, 1/2, 1/4 is a geometric sequence with a common ratio of 1/2.
Each term is found by multiplying the previous term by 1/2.
D.
3,-15, -33, -51, -69, is not a geometric sequence because there is no constant ratio between terms.
Therefore,
The series 3, 6, 9, 12,... and 4, 2, 1, 1/2, 1/4 are geometric series.
Learn more about geometric sequence here:
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a subway car 34 feet long; 1 inch = 5 feet
Answer:
6.8 inches
Step-by-step explanation:
inch= 1 x
feet= 5 34
1×34÷5
Please helpim beging
Answer:
D, 2/53
Step-by-step explanation:
Brayden buys 53 bottles so that is the denominator of the probability fraction. Of those 53 bottles, 2 have a winning cap. So the answer is 2 out of 53 or how we would write it in Maths 2/53.
Hope that helped.
Anybody know this......
Step-by-step explanation:
21.P
22.Q
23.P
24.S
25.Q
26.R
27.N
28.N
you pretty much have too find the other letter that finishes the shape.
so #21 it would be P because it is for the bottom shape/base shape. and you already have M,N and O so the last one you need too finish the shape is P. and the same concept for the other awnsers
Hope this isn't too complicated and helps u out!
Brainlest??
If someone could help me figure out #7 ASAP I’d really appreciate it
PLEASE HELP
7x-3= -24 what is x and how do you find it?
Answer:
x = -3
Step-by-step explanation:
7x - 3 = -24 (Given)
7x - 3 + 3 = -24 + 3 (Added 3 on both sides by using the addition property of equality)
7x = -21 (Simplified)
7x/7 = -21/7 (Divided 7 on both sides by using the division property of equality)
x = -3 (Simplified)
Therefore, x = -3.
Answer:
x= -3
Step-by-step explanation:
You do the opposite.
So,
-24 +3
= -21
-21/ 7
= -3
Therefore, the answer is -3
Jill buys two circular pizzas. The small pizza has an 8-inch diameter. The medium pizza has a 12-inch diameter. How much greater, in square inches, is the area of the medium pizza than the small pizza? Round your answer to the nearest tenth.
Answer:
Medium pizza is 62.83 square inches greater than smaller pizza.
Step-by-step explanation:
Micheal has 4 red shirts, 3 green shirts, and 5 blue shirts in his closet. If he randomly selects a shirt, what is the probability he chooses green or red.
a) 1/3
b) 1/4
c) 5/12
d) 7/12
Answer:
D. 7/12
Step-by-step explanation:
First, find the total number of shirts in his closet:
4 + 3 + 5
= 12
Now, find how many are green or red:
4 + 3
= 7
Since 7 out of 12 shirts are green or red, the probability that Micheal chooses green or red is D. 7/12
20% of __ is 15 pls help lol
Answer:
3
Step-by-step explanation:
Assuming similarity, find the value of x.
Answer:
20
Step-by-step explanation:
Answer:
22.5
Step-by-step explanation:
9/4 = 2.25
8/18 = 2.25
2.25 x 10 = 22.5
simple ratio work and multiplictaion