Answers
Let's define the next variables:
x: quarts of sparkling water
y: quarts of grape juice
We want to make 100 quarts of punch, then
x + y = 100
In order to follow the recipe we need to keep the next ratio:
\(\begin{gathered} \frac{x}{y}=\frac{1\frac{1}{2}}{\frac{3}{4}} \\ \frac{x}{y}=\frac{1.5}{0.75} \\ \frac{x}{y}=2 \\ \text{Isolating x} \\ x=2y \end{gathered}\)Replacing this result into the first equation:
\(\begin{gathered} 2y+y=100 \\ 3y=100 \\ y=\frac{100}{3} \\ y=33\frac{1}{3} \end{gathered}\)Replacing into the previous formula:
\(\begin{gathered} x=2y \\ x=2\cdot33\frac{1}{3} \\ x=66\frac{2}{3} \end{gathered}\)You would need 66 2/3 quarts of sparkling water and 33 1/3 quarts of grape juice to make 100 quarts of punch
Related Questions
6 yellow = 5 green
4 green = 3 purple
5 purple = 2 red
what is the ratio between yellow to red?
A.3 to 1
B.4 to 1
C.5 to 1
D.6 to 1
Answers
Answer:
Hi, option A). 3 to 1 is the correct option.
Step-by-step explanation:
See there are 6 yellow and 2 red.
It will be 6:2
And if we simplify it further both of the numbers are multiples of 2.
Therefore:
The answer is option A). 3:1
Answer: B. 4 to 1
Step-by-step explanation:
green = (3/4) purple
Substituting the expression for green from the first conversion, we get:
yellow = (5/6) (3/4) purple
yellow = (5/8) purple
Finally, we can use the third ratio to convert purple to red:
5 purple = 2 red
purple = (2/5) red
Therefore, the ratio between yellow to red is 4 to 1.
Find the probability that a point chosen at random would lie in the shaded area of the figure. Round to the nearest tenth of a percent.
Answers
Answer:
Area of shaded region:
12r^2 - (2(2r^2) + 2πr^2) =
12r^2 - 4r^2 - 2πr^2 =
(2r^2)(4 - π)
Probability of point chosen in shaded region:
(2r^2)(4 - π)/(12r^2) = (4 - π)/6 = .143 = 14.3%
Help !!
centimeters and millimeters <3
Answers
1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .
How to compare centimeters and millimeters ?The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.
The length of my book in when measured in millimeters is 280 mm.
In centimeters, this is therefore:
= 280 mm / 10 cm /mm
= 28 cm
Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.
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A recipe for 15 muffins calls for 1 cup of flour. The number of muffins that can be made varies directly with the amount of flour used. There are 2 2/3
cups of flour available. How many muffins can be made?
Answers
Answer:
Step-by-step explanation:
35 bran muffins can be made with 2 1/3 cups of flour.
The midpoint of AB is M=(3, 1). One endpoint is A=(-1, -1).
Find the coordinates of the other endpoint, B.
Answers
Answer:
(7, 3)
Step-by-step explanation:
Given segment AB, where:
A = (-1, -1)Mid point
M = (3, 1)Point B = (x, y)As per mid point formula:
(-1+x)/2 = 3 ⇒ -1 + x = 6 ⇒ x = 6+ 1 = 7(-1 + y)/2 = 1 ⇒ -1 + y = 2 ⇒ y = 2 + 1 = 3So, the point B is:
B = (7, 3)How many sets of one eighths are in 3/4
Answers
Answer:
6
Divide the fractions.
3 / 1 = 3
4 / 8 = 2
Use the numerator as a multiplicand.
2 × 3 = 6
Bob buys eggs and potatoes at a store he pays $25.92 total he pays $2.57 for the eggs. He buys five bags of potatoes that each cost the same amount which equation can be used to determine the cost of X of each bag of potatoes.
Answers
therefore the answer is $4.67 for each bag of potatoes
Your bank give you 6% annual interest compounded quarterly on all savings account balances. Which of the following is the multiplier used when modeling this situation
A. 1.015
B. 1.02
C. 1.04
D. 1.06
E. 0.94
Answers
Very hard must need solving
Answers
Answer:
attached
Step-by-step explanation:
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
Answers
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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Choose all the expressions that are equal to 34 × 8,010.
A. 8,010 × 34
B. 34 × (801 × 102)
C. 30 × 4 × 8,010
D. 34 × (8,000 + 10)
E. (30 + 4) × 8,010
Answers
A. 8,010 × 34
D. 34 × (8,000 + 10)
E. (30 + 4) × 8,010
You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
Answers
Starting position = Treasure location + distance sailed to the left
Since we know going in the left direction typically is a means of subtraction, we can use inverse operations to solve this. We can set up an addition problem to solve this:
Starting position = 0.085 + 0.055
Starting position = 0.03 units
Therefore, the ship started at 0.03 units.
[The following information applies to the questions displayed below.]
Morganton Company makes one product and it provided the following information to help prepare
a. The budgeted selling price per unit is $60. Budgeted unit sales for June, July, August, and Septe
20,000, 22,000, and 23,000 units, respectively. All sales are on credit.
b. Forty percent of credit sales are collected in the month of the sale and 60% in the following mont
c. The ending finished goods inventory equals 20% of the following month's unit sales.
d. The ending raw materials inventory equals 10% of the following month's raw materials production
finished goods requires 5 pounds of raw materials. The raw materials cost $2.50 per pound.
e. Thirty percent of raw materials purchases are paid for in the month of purchase and 70% in the fo
f. The direct labor wage rate is $13 per hour. Each unit of finished goods requires two direct labor-h
g. The variable selling and administrative expense per unit sold is $1.50. The fixed selling and admin
month is $70,000.
9. If 111,000 pounds of raw materials are needed to meet production in August, what is the estimated raw m
at the end of July?
Raw material inventory balance
$ 257,250
Answers
The estimated raw material Inventory balance at the end of July is $27,750.
The estimated raw material inventory balance at the end of July, we need to follow the given information and calculations:
a. Each unit of finished goods requires 5 pounds of raw materials. Therefore, the total raw materials needed for production in August can be calculated as follows:
23,000 units (budgeted unit sales for September) × 5 pounds/unit = 115,000 pounds
b. The ending raw materials inventory equals 10% of the following month's raw materials production. Based on the information provided, the estimated raw materials needed to meet production in August is 111,000 pounds.
111,000 pounds × 0.10 (10%) = 11,100 pounds
This means that the ending raw materials inventory for July should be 11,100 pounds.
c. The cost of raw materials is $2.50 per pound. To find the value of the raw material inventory at the end of July, we multiply the pounds by the cost per pound:
11,100 pounds × $2.50/pound = $27,750
Therefore, the estimated raw material inventory balance at the end of July is $27,750.
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HELP ASAP PLEASE!!!!!!!!
Answers
Answer:
1
Step-by-step explanation:
1 : 1 :sqrt(2)
The legs are in the ratio of 1 to 1
tan 45 = opp side / adj side
tan 45 = 1/1
tan 45 =1
Answer:
Step-by-step explanation:
Help pls
What is the main detail when Multiplying a Difference of Squares?
There is no "A" Value
There is no "B" Value
There is no "C" Value
Ik it’s not c!
Answers
Find the numerical value of the log expression.
Answers
PLEASE HELP!
Find the measure of the missing angle.
Answers
Answer:
45 degrees
Step-by-step explanation:
Two bicycle trails were developed in a new housing development. One trail is
3 1/2 miles long. The other trail is 3/4 as long. How long is the second trail?
Answers
The length of the second trial will be equal to 2(⁵/₈) miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that two bicycle trails were developed in a new housing development. One trail is 3¹/₂ miles long. The other trail is 3/4 as long.
The length of the second trial will be calculated as,
Length = 3/4 x ( 3¹/₂ )
Length = 2(⁵/₈)
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What are the foci of the graph x^2/40-y^2/81=1
Answers
Answer:
Step-by-step explanation:
(y^2)/1600-(x^2)/81=1. y21600−x281=1 y 2 1600 - x 2
Answer: y21600x281=1 y 2 1600 - x 2
Step-by-step explanation: for sure chfjjgffjfj ;)
You have 2 jars of marbles. The first jar contains a blue marble, a yellow marble, and a purple marble. The second jar contains a green marble, a blue marble, and a pink marble. Write out the sets that represent all the colors of the marbles.
Answers
The set containing all the colors of the marbles is given as follows:
{blue, yellow, purple, green, pink}.
What is the set of elements?A set of elements is composed by elements that respect a given characteristic, or are present in an experiment.
In this problem, we need to find the colors present in each marble, which are given as follows:
First jar: Blue marble, yellow marble and purple marble.Second jar: Green marble, blue marble and pink marble.Then we have to list all these colors in a set, which are opened and closed by the brackets {}.
The color blue appears in both sets, however, it will appear only once in the set of the colors, as the elements are not repeated.
Thus, the set containing all the colors of the marbles is given by the set presented as follows:
{blue, yellow, purple, green, pink}.
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Katie's earnings, E , for a week are given by the equation E = 18h, where H is the number of hours that Katie works during the week. If Katie works 40 hours per week for 4 weeks, how much money will she earn during the 4-week period?
Answers
Answer:
$2,880
Step-by-step explanation:
18 x 40 = 720 earned per week
720 x 4 (weeks) = 2880 earned in 4 weeks
Find a b and c ??????
Answers
Answer:
a = 70 degrees
b = 20 degrees
c = 20 degrees
Step-by-step explanation:
First, we can find "c":
angleBCA = 90
angleBCA = angleBCD + c
90 = 70 + c
90 - 70 = c
20 = c
Knowing "c", we can find "a".
angleADC = 90
triangleADC = 180
triangleADC = angleADC + c + a
180 = 90 + 20 + a
180 = 110 + a
180 - 110 = a
70 = a
Knowing "a", we can find "b".
angle BCA = 90
triangleACB = 180
triangleACB = angleBCA + a + b
180 = 90 + 70 + b
180 = 160 + b
180 - 60 = b
20 = b
The value of a machine, V , at the end of t years
Answers
The value of machine after 2 years is $346.4.3
What is Rate of Depreciation?Subtract the asset's cost from its salvage value (what you anticipate it to be worth at the end of its useful life) to determine depreciation using the straight-line technique. The amount that can be depreciated, or the depreciable basis, is the outcome. Subtract this sum from the asset's useful life, which is measured in years.
Given:
C = $707 (the original cost),
r = 0.3 (the rate of depreciation),
and t = 2 (years that have gone by)
Using the Formula
V = C \((1-r)^t\)
V = (707)(1 - 0.3)²
V = (707)(0.7)²
V = (707)(0.49)
V = 346.43
Thus, the value of machine is $346.43
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There are five questions listed below. Each question includes the quantity 22. Match the 22 in each question on the left to w
part of the problem it represents on the right - the base, percent, or amount. Some answer options on the right will be used
more than once.
Answers
The Matchings are:
3 is 16.63% of 22.22 is 13.41% of 164.0.88 is 4% of 22.8 is 22% of 36.36.1.1 is 5% of 22.What is Percentage?A ratio or figure stated as a fraction of 100 is called a percentage.
Let 3 be x% of 22.
x% of 22 = 3
22x = 300
x= 13.63%
So, 3 is 13.63% of 22.
Let 22 be y % of 164.
y% of 164 = 22
164y= 2200
y= 13.41%
So, 13.41% of 164 is 22.
4% of 22 = 0.88
then, 4/100 x 22 = 0.88
Let 8 is 22% of z.
22z/100 =8
z= 36.36
5% of 22 = 1.1
= 5/100 x 22
= 1.1
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Need help. This please
Answers
The domain of the quadratic function in this problem is given as follows:
All real values.
How to obtain the domain of the function?The domain of a function is the set of all the possible input values that can be assumed by the function.
On the graph, the domain of the function is given by the values of x of the function.
A quadratic function has no restrictions on the domain, hence it is defined by all the real values.
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help me please please please
Answers
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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Solve the equation for h?
Answers
Answer:
h = V ÷ (πr²)
Step-by-step explanation:
V = π × r² × h
V ÷ π = r² × h
V ÷ π ÷ r² = h
h = V ÷ (πr²)
Since the right side is pi•r^2•h, you need to cancel the pi and r^2 from the right with division, just like you would if it had be V = 7•h. Division “undoes” multiplication.
So you divide both side by pi and r^2 to get:
V ÷ (pi r^2) = h
Suppose you want to buy a pair of shoes that costs. The shoes are currently on sale for 10% off. When you purchase the shoes, you will have to pay
sales tax Show how to set up the calculation to determine the total you must pay for the shoes,
a) 0.8 0.35
) 0.98 +0.05.2
C) 0.01 +0.05(0.9)
d) 0.03(0.01
Answers
If two lines intersect to form a right angle, then they are
..(perpendicular, parallel, obtuse
Answers
PLEASE HELP ME SOMEONE!!!
Answers
