Answer:
15 gallons of apple juice per 6 gallons of cranberry
Step-by-step explanation:
3/16 = 15/80
3/40 = 6/80
The proportion of apple juice per gallon of cranberry juice is 5/2
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
To find the ratio of apple juice to cranberry juice in the mixture, we need to first convert both amounts to a common unit, such as gallons.
The amount of apple juice in the mixture is given as 3/16 gallon, and the amount of cranberry juice is given as 3/40 gallon.
To express this ratio in terms of gallons of apple juice per gallon of cranberry juice, we need to divide the amount of apple juice by the amount of cranberry juice:
(3/16 gallon) / (3/40 gallon) = (3/16) / (3/40)
To divide by a fraction, we can multiply by its reciprocal:
A = (3/16) / (3/40) = (3/16) x (40/3)
A = 40/16 = 5/2
Hence , the juice mixture contains 5/2 gallons of apple juice per gallon of cranberry juice
To learn more about proportion click :
https://brainly.com/question/7096655
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A school group rented a banquet room for $110. They also paid $15 for each person (p) at the banquet. The total bill was $1,460. Which equation models the total cost for the group to rent the room?
Answer:
The answer is 15p+110=1.460
how can yo do 9087 divided by 12
(4x+3)(-2X+4) helo please
Answer:
[tex]-8x^{2}+10x+12[/tex]
Step-by-step explanation:
Distribute:
(4+3)(−2+4)
4(−2+4)+3(−2+4)
Distribute:
4(−2+4)+3(−2+4)
[tex]-8x^{2} +16+3(-2+4)[/tex]
Distribute:
[tex]-8x^{2}+16+3(-2+4)[/tex]
[tex]-8x^{2} +16-6+12[/tex]
Combine like terms:
[tex]-8x^{2} +16-6+12[/tex]
[tex]-8x^{2} +10+12[/tex]
hope this helps.
Part A: Based on the samples, which student generally has higher quiz scores?
A.
Kari, because the mean and median of her scores is 84.5.
B.
Jocelyn, because the interquartile range of her scores is 9.
C.
Jocelyn, because she had a maximum score of 95.
D.
Kari, because the range of her scores is 18.
Answer:
kari, because the range of her scores is 17
Pls help I have 5 minutes to do this and I’m really stuck
35 cubes with a length of 7 meters, height of 1 meter, and width of 5 meters.
What is the length of the figure?
What is the width?
What is the height?
What is the number of cubes?
What is the volume?
Answer:
This is what I got
Step-by-step explanation:
length:7 meters
width: 5 meters
height: 1 meter
cubes: 35
volume: 35 meters cubed
Answer:
What is the length of the figure?
✔ 7 m
What is the width?
✔ 5 m
What is the height?
✔ 1 m
What is the number of cubes?
✔ 35 cubes
What is the volume?
✔ 35 cubic meters
Step-by-step explanation:
Find the area of the semicircle. Round your answer to the nearest hundredth.
Answer:
56.52
Step-by-step explanation:
This is because in order to find an area of a circle you must do R^2*3.14 and since it is a semicircle add /2 so R^2*3.14/2 and since half of 12 is 6, 6*6 is 36 and 36*3.14 is 113.04 and divide that by 2 which is 56.52
Answer:
177.475 [tex]inches^{2}[/tex]
Step-by-step explanation:
Since the formula for finding the area of a full circle is A = π[tex]r^{2}[/tex], area equals pi times radius squared, we fill out the formula and solve.
A: unknown
Pi: 3.14
Radius: diameter is 12, so you divide it by 2, which is 6.
A = 3.14 x 6 squared.
using pemdas, you do exponents first,
A = 3.14 x 36
A ≈ 113.04
Now that we have the area for the full circle, we divide it by two to find the area of the semicircle,
113.04/2
= 56.52
So, the area of the semicircle is 56.52 [tex]inches^{2}[/tex]
This is my 3rd answer as a helper, I hope it helped!
solve 4(6k -12) = 3 (8k - 16)
Answer:
i think the answer is 0=0
Answer:
or,24k-48=24k-48
or,24k-24k= -48+48
0=0
Sue saved $360. She spent 75% of her savings. How much does she have left
Answer:
Step-by-step explanation:
Expense = 75%
Percentage of amount left = (100 -75)% = 25%
25% of 360 = 0.25* 360 = 90
Remaining amount left with Sue = $ 90
which expression has a base with an exponent of 4. A. 4z to the third power. B 4 x y. C 3m to 4th power. D p plus 4
Answer:
I believe the answer is C
Step-by-step explanation:
Identify the percent of change as an increase or decrease. Then find the percent of change. Round to the nearest tenth of a percent, if necessary.
125 invitation to 75 invites
32 pages to 28 pages
7 players to 10 players
72 people to 36 people
Answer:
1) 40% decrease 2) 12.5% decrease 3) 42.9% increase i don't have the last one lol
Step-by-step explanation:
!PLEASE HELP ASAP IM BEING TIMED + BRAINLIEST! A group of students must collect at least $150 to organize a science fair. They have already collected $90. Which graph best represents all remaining amounts of money, in dollars, that the students should still collect to organize the science fair?
Number line graph with closed circle on 240 and shading to the right.
Number line graph with closed circle on 90 and shading to the right
Number line graph with closed circle on 60 and shading to the right.
Number line graph with closed circle on 150 and shading to the right.
Answer:
Number line graph with closed circle on 150 and shading to the right.
Step-by-step explanation:
Answer
srry ik i'm late but C/Number line with closed circle on 60 and shading to the right is the correct answer
explanation:
Just got it right on the test
What are the two ways we can represent a relation to determine whether the relation is a function? Explain how we we use each representation to determine a function.
Answer:
Table: the x-values and y-values are listed in separate columns; each row represents an ordered pair.
Mapping: shows the domain and range as separate clusters of values.Step-by-step explanation:
1. Andre earns $5200 a month at his new job. In order to track his spending and saving, he created a monthly budget. Andre divided his income into five categories and created the following circle graph to represent the budget he created for himself. Use this circle graph to answer the following questions.
How much more money does Andre budget for Groceries and Utilities than he does for Savings?? Show your work. Write your answer as a dollar amount.
Answer:
answer is 312.00
Step-by-step explanation:
Trust me I just took the test
2. Jolie manages an annual film festival in her town. Every year, one movie from every genre is chosen as a finalist to win best film. The following double bar graph represents the votes each film received by adults and children. Based on the data in this bar graph, which movie received 20% of the total votes? Show your work!
PLZ SHOW HOW TO DO IT SO I CAN GET THE QESTION RIGHT AND I"LL BRAINLEST YOU
Answer:
Step-by-step explanation:
All votes: 10*3+18+22+15*3+20+8=143
143*0.2(20%)=28.6 about 28vote (Scifi)
Scifi, 10 adults, 18 children, which is 20% of the votes.
evaluate the expression 81 minus 8 to the second power. 81 minus 8 to the second power
Answer:
17
Step-by-step explanation:
To evaluate the expression, subtract 8² from 81:
81 - 8²
8² = 8 × 8 = 64
81 - 64 = 17
17
Need help ASAP................
Which expression is equivalent to 55 + 2x + 5? *
3 points
2(25 + x) + 5
30(2 + x)
60(1 + x)
2(30 + x)
HELP PLS
Answer:
2(30+x)
Step-by-step explanation:
[tex]55+2x+5\\=60+2x\\=2(x+30) or 2(30+x)[/tex]
Answer: 2 ( 30 + x )
***10 Points***
Deals with Quadratic Functions
Answer:
A
Step-by-step explanation:
q(x) is the same as y, so in other words, it was asking you, what is x when y = 0. The solutions of this graph are -4 and a decimal number somewhere near 1.6, and since there is no 1.6 or a decimal number as a choice, its -4 which is the other answer of the graph.
I WILL GUVE BRAINLIEST!!!!
Answer:
[tex]92\ yd^2[/tex]
Step-by-step explanation:
The given figure is a trapezoid, the formula for finding the area of a trapezoid is the following,
[tex]A=\frac{h(b_1+b_2)}{2}[/tex]
Where (h) is the height of the figure, and ([tex]b_1[/tex]) and ([tex]b_2[/tex]) are the bases. It is given that the height is (8) and ([tex]b_1[/tex]) is (8). The value of ([tex]b_2[/tex]) can be found by adding the value of ([tex]b_1[/tex]) to the "overhang" that ([tex]b_2[/tex]) has over ([tex]b_1[/tex]). Thus, ([tex]b_2[/tex]) is ([tex]8+7[/tex]) or rather ([tex]15[/tex]). Now substitute the values into the equation and solve for the area of the trapezoid,
[tex]A=\frac{8(8+15)}{2}[/tex]
[tex]=\frac{8(23)}{2}[/tex]
[tex]=4(23)[/tex]
[tex]=92[/tex]
An icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 27 mm. In cubic millimeters, how much frozen water is in the icicle? Use 3.14 for Pi. Round your answer to the nearest hundredth.
Answer:
572.27
Step-by-step explanation:
Just took the quiz-
Dion’s rectangle measures 2 ⅓ units by 3 ½ units. What is its area? Show your work and circle the correct answer.
a. 6 ⅙ square units
b. 6 ⅙ cubic units
c. 8 ⅙ square units
d. 8 ⅙ cubic units
Answer:
c
Step-by-step explanation:
Answer:
a. 6 ⅙ square units
Step-by-step explanation:
please mark this answer as brainlest
a plane was taking off from the local airport, as shown below by the illustration. what is a good estimate of the angle measurement that the belly of the plane is making with the runway on take off ?
A.60
B.45
C.30
D.15
Answer:
B
Step-by-step explanation:
It would be 45 degrees to the runway.
Hope this helps!
A machine produces wooden blocks at a constant rate. At the end of 6 minutes, it has produced 48 blocks. Which table represents the relationship between the number of minutes the machine produces wooden blocks and the number of blocks produced?
Answer:
it would be D. For every minute it is doing 8 peices
Step-by-step explanation:
I need help Ill give brainlyiest
no link just right answer
Read the following information, and answer the questions below: Salvidore and Thomas are both writing a paper for school. At the start of the week, Salvidore has already written 4 pages, and he continues to write 2 pages a day. Thomas has already written 2 pages at the start of the week, but he writes faster at a rate of 2.5 pages a day.
Write a linear equation for Salvidore
Write a linear equation for Thomas
After how many days will they have written the same number of pages? How many pages will they have written at this point?
Using your answer from above, write this information as an ordered pair:
Answer:
2 + 2 =5
Step-by-step explanation:
2 - 2 = 4
The Hogan family plans to build a rectangular house corral on their farm with length, L, and width,w. The area needs to be at least 1,900 ft 2 and have a width, w, of 20 ft.
What are the possible lengths, L, of the Hogans' house corral in feet?
Need help asap.
Answer: The length must be at least 95 ft. squared. Pick the line with the filled in left circle, and the right side is an arrow. Put the left side that's filled in on 95 (middle line between 90 and 100).
Step-by-step explanation: Divide the minimum total area by the minimum width. The answer is the minimum length.
Length x Width = Area
20 ft. x 95 ft. = 1900 ft. sq
Triangle ABC goes through a series of three transformations. Vertex A has coordinates (2,-3) Find the coordinates of A’ after a 180 degree rotation about the origin A’’ afer A’ is reflected over the x-axis A’’’ after A’’ is reflected over the y-axis
Answer:
prime =2,3
Step-by-step explanation:
Given the Following.... please help!
Answer:
The exponential equation is y = -2×(1/2)^x
Step-by-step explanation:
1) The horizontal asymptote of the function is the x axis (always nice)
2) At x=0, y=-2 (i.e, this function will be multiplied by -2 bc the exponent part will transform into one at x=0)
3) Then we need to ascertain the base of the exponential. Based on the facts that at x=1, y=-1 and the "a-value" is -2, we can set up an equation to find b:
can u give me the brainliest ?