The amount of juice needed is about 0.487 cups
Amount of oranges squeezed :
First orange = 4/17 cups
Second orange = 3/10 cups
Third orange = 9/20 cups
Fourth orange = 3/11 cups
Fifth orange = 7/15 cups
Total amount of oranges needed = 2 cups
The amount of extra orange needed = x
Adding :
(4/17 + 3/10 + 9/20 + 3/11 + 7/15) + x = 2
(13200 + 168300 + 252450 + 153000 + 261800) / 561000
(848750 / 561000) + x = 2
1.5129 + x = 2
x = 2 - 1.5129
x = 0.4871 cups
The amount of juice needed is about 0.487 cups
What is the 7.2222222222..... as a rational number?
The repeating decimal 7.2222222222... as a rational number is 7 2/9. The conversion involves setting the repeating decimal equal to x, scaling it by a power of 10, subtracting the original number, and then solving for x to find the equivalent fraction.
Explanation:The number 7.2222222222..., when expressed as a rational number, is the fraction 7 2/9. To convert a repeating decimal to a fraction, you can use the following steps:
Let x equal the repeating decimal, so x = 7.2222222222...Multiply x by a power of 10 that moves the decimal point to the right just before the repeating digits start. In this case, we use 10x to get 10x = 72.222222222...Subtract the original number (x) from this new number (10x). Doing this will get 10x - x = 72.222222222... - 7.222222222... = 65.Since 10x - x = 9x, we now have 9x = 65. Therefore, x = 65/9, which simplifies to 7 2/9.This process shows how to express the repeating decimal as a fraction and thereby convert it into a rational number.
Max and Sheila are making orange juice. Max has mixed 15 cups of water with 4 cups of juice concentrate. Sheila has made her choose by mixing 8 cups water with 3 cups just concentrate.compare their ratios of juice concentrate to water using racial tables. State which beverage has a higher juice concentrate to water ratio.
Hello I'm Vanessa and I'm 16, im recently taking Geometry online and I'm trying to find someone that is willing to help me out. Thanks
Simplify the expression. w - .25w
What is 67.50 with 5 percent sales tax
A baseball dropped from the roof of a tall building takes 5.23 second s to reach the ground. How tall is the building?
HELP ASAP
Angelica swims 14 3/7 hours per month. If she swims the same amount every month, how many hours does she swim in 6 months?
If the Alexanders completed the 735 mi. trip in 15 hr., what was their average rate of travel?
london buys 3 more packs of trading cards today. each pack has 8 cards. write a multiplication sentence to show how many cards landon buys today. then find how many cards landon has now.
4+5=9 write the doubles fact used to solve
A road has a speed limit of 40 mi/h. Write an inequality that describes the legal speeds r for motor vehicles.
a r < 40
b r <_40
c r _> 40
d r > 40
2 PART QUESTION
Ted likes to run long distances. He can run 20km in 95 minutes. He wants to know how many kilometers (k) he will go if he runs at the same pace for 285 minutes. What proportion could Ted use to model this situation?
A.) k/20= 95/285
B.) 285/95=k/20
Solve the proportion to determine how far Ted will run in 285 minutes?
What is 0.623 divided by 0.07
The solution to the division of 0.623 by 0.07 is;
8.9
We want to divide 0.623 by 0.07.
This is;
0.623/0.07
Now, to solve this easily, let's make use of multiplication property of equality where if we multiply the numerator and the denominator by the same number, we will still get the same answer.
Let's multiply numerator and denominator by 100 to get;
(0.623 × 100)/(0.07 × 100)
⇒ 62.3/7
Dividing this gives us a final answer of; 8.9
Read more at; https://brainly.com/question/13180600
What is 6 1/6 as a Decimal Please!
Charles will babysit for up to 4 hours and charges $7 per hour. Write a function in function notation for this situation.
Javier is cooling a liquid in a science lab. The liquid starts at 85 degrees, and he cools it 3.5 degrees every minute for 12 minutes. Create a number sentence to model this scenario.
crystal's mother kept a record of. crystal's. height at different ages. she recorded the information in a table. is the relationship between crystal's age and her height proportional? explain.
The relationship between Crystal's age and her height is determined by examining the ratios of age to height for different entries in the table. If the ratios are equal, then the relationship is proportional.
Explanation:To determine if the relationship is proportional, compare the ratios of Crystal's age to her height for different entries in the table. If the ratios are equal, then the relationship is proportional. If the ratios are not equal, then the relationship is not proportional.
For example, if Crystal's age is 10 and her height is 50 inches, the ratio would be 10/50 = 0.2. If Crystal's age is 20 and her height is 100 inches, the ratio would be 20/100 = 0.2. Since the ratios are equal, the relationship between Crystal's age and her height is proportional.
Two bicyclists are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart?
Answer:
5 1/3 hours
Step-by-step explanation:
Answer:
5 1/3 hours or 320 minutes
Step-by-step explanation:
You paint 1/2 wall in 1/4 hour. At that rate, how long will it take you to paint one wall?
What is 20 tiles in 5 rows array
Plz help!!
Estimate each quotient using compatible numbers write what you estimated with like my answer is 7 and this is what I used 280÷4
Estimate these quotient round the numbers
1. 5564÷91 3.explain how to
2. 5391÷25 estimate 498÷12
4.which is the closest estimate for 2130÷ 33
A.7 B.17 C.70 D.700
hours worked / pay 2/$15.00 4/$30.00 6/$45.00 8/$60.00 A/p=7.50h B/ p=15h C/ p=h+15 D/h=7.50p
Answer:
The answer is D. p=7.50h
A store buys a jacket for $20.00 and then sells it to customers for 80% more than that. What is the selling price of the jacket?
A.$16.00
B.$36.00
C.$24.00
D.$28.00
Please explain how you got the answer
The selling price of the jacket is $36. so the correct option is B.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
Given that store buys a jacket for $20.00 and then sells it to customers for 80% more than that.
We need to add 80% of $20 to $20.
Therefore, First we calculate 80% of $20.
80% of $20
= 80% x $20
= 0.80 x $20
= $16
So 80% of $20 is $16.
This is the amount the store adds to the cost called as the markup.
Now we add the cost $20 and the markup $16.
$20 + $16 = $36
Thus The selling price is $36
Learn more about percentages;
brainly.com/question/24159063
#SPJ2
I need help with 2x+12=3x-31
The value of x in the given equation is 41.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15, 9x+9 = 9, 3x+9 = 7, ax+by = z etc.
Based on the degree, equations can be classified into the following three types: Linear equation, Quadratic equation or Cubic equation
Given that, an equation 2x+12 = 3x-31
Solving for x,
2x+12 = 3x-31
Combining the like terms, by transposing,
3x-2x = 31+12
x = 41
Hence, the value of x in the given equation is 41.
Learn more about equations, click;
https://brainly.com/question/29657992
#SPJ2
The domain of the function given below is the set of all real numbers greater than 1/2 f(x)=(1/2)^x
The function f(x) = (1/2)^x accepts any real number as an input, so its natural domain is the set of all real numbers. However, the question specifies that the domain is all real numbers greater than 1/2, which might be due to the context in which this function is used.
Explanation:The function f(x) = (1/2) x is a function that will accept any real number as an input. Therefore, the natural domain of this function would be the set of all real numbers. However, in your question, the function is given a specific domain, that is, all the real numbers greater than 1/2. This domain restriction might be due to the context in which this function is used.
Remember, the domain of a function is the set of all possible input values (x-values) that will give a valid output value (f(x)). For example, in the function f(x) = 1/x, the domain is all real numbers except zero because we cannot divide by zero.
In your function f(x) = (1/2)x, there is no value of x that will result in a not defined output, so unless stated otherwise, the domain is all real numbers. However, here we are given that the domain is all real numbers greater than 1/2.
Learn more about Domain of a functionhttps://brainly.com/question/5835057
#SPJ11
32 is the sum of a number z and 9
BRAINLIESTTTTT ASAP!
What is the area of this polygon 15m 10m 8m 9m
The provided data is insufficient to accurately calculate the area of the polygon. With an assumption that the shape is a rectangle and the lengths are 15m and 8m, the area would be 120 square meters.
Explanation:To calculate the area of a polygon, it's ideal to break down the polygon into simpler shapes like rectangles or triangles, for which we have well established formula for area. However, the information you've provided is inadequate to define a specific polygon shape like a rectangle or a square. Four sides could suggest a rectangle or a quadrilateral, but we don't know two essential properties: the arrangement of these sides and the measure of angles. For instance, if it was a rectangle, we'd look for pairs of equal lengths. If your shape is indeed a rectangle, and we assume that 15m and 8m are the length and width (or vice versa), we could calculate the area. For a rectangle, the area is calculated as length multiplied by width. In this case, it would be 15m*8m = 120 square meters.
Learn more about Area of Polygon here:https://brainly.com/question/31956973
#SPJ2
If there are 5,280 feet in a mile, how many feet are in 2.6 miles?
What is the distance between points
(9, −7)
and
(9, 4)
on a coordinate plane?
Final answer:
The distance between the points (9, -7) and (9, 4) is calculated by finding the absolute difference between the y-coordinates since the x-coordinates are the same. The distance is 11 units.
Explanation:
To calculate the distance between two points on a coordinate plane, you can use the distance formula, which is derived from the Pythagorean theorem. However, in this particular case, since the x-coordinates of the points (9, -7) and (9, 4) are the same, the distance is simply the absolute difference between the y-coordinates.
The formula to find the distance between two points (x1, y1) and (x2, y2) is:
d = √((x2 - x1)² + (y2 - y1)²)
So, substituting the known values:
d = √((9 - 9)² + (4 - (-7))²) = √(0 + 11²) = √121 = 11
Therefore, the distance between the points (9, -7) and (9, 4) on a coordinate plane is 11 units.