Answer:
Joy definitely does have enough soup for 22 people.
Step-by-step explanation:
Upper Bound: 285ml turn it to 0.285 L 10÷2=5
280ml
Lower Bound: 275ml turn it to 0.275 L
Upper Bound: 6.75 L 0.5÷2=0.25
6.5 Litters
Lower Bound:6.25 L
6.75÷0.275=24.54 or 25
6.25÷0.285=21.92 or 22
22≤x<25 Joy definitely does have enough soup for 22 people.
The measurement uncertainty in the question gives the range within
which the true value of the given measurement can be found.
Yes, Joy definitely has enough soup to serve 22 people.
Reasons:
Volume of the soup Joy makes = 6.5 L ± 0.5 L = 6,500 mL ± 500 mL
Volume of soup per serving = 280 mL ± 10 mL
Number of people that order the soup = 22 people
Required:
If soup made is enough for 22 people
Solution:
The uncertainty in measurement, u, is expressed as follows;
X ± u
X - u ≤ True value ≤ X + u
Therefore;
Total volume ordered, V₀ = 22 × (280 ± 10) mL = 5,940 mL ≤ V₀ ≤ 6380 mL
The volume of soup made range is given as follows;
(6,500 - 500) mL ≤ M₀ ≤ (6,500 + 500) mL
Which gives;
6,000 mL ≤ M₀ ≤ 7,000 mL
The minimum amount of soup required to serve 22 people = 5,940 mL
The minimum amount of soup Joy makes = 6,000 mL
Therefore, Joy definitely has enough soup to serve 22 people.
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Riding with the wind at her back, a cyclist takes an hour less time to cover 80 miles than without any wind. Riding with the wind increases the cyclist's speed by 2 miles per hour. What is her speed when riding with the wind?
Answer:
41 MPH
Step-by-step explanation:
Let's assume the original speed with or without, is around 82 miles, within 2 hours.
So in this case, it'd be half the miles, half the hours!
you are getting ready for a family vacation. You decide to download as many movies as possible before leaving for the road trip. If each movie takes 1 2/5 hours to download, and you downloaded for 5 1/4, how many movies did you download. EXPLAIN PLEASE I NEED HELP!!!!!
If all movies took the same time to download (unlikely), you could download (5 1/4) / (1 2/5) movies
= (21/4) / (7/5) = (21/4)*(5/7) = 15/4 = 3 3/4 movies.
If it takes 1 2 5 hours to download 1 movie, then in 5 1 4 hours, you will download 4 movies.
A parks and recreation department is constructing a new bike path. The path will be parallel to the railroad tracks shown and pass through the parking area at the point (4,5). Write an equation that represents the path
Answer:
dont listen to answer above me, its supposed to be in slope intercept form, so it is y=4/3x-1/3
and so we have (4,5)
substitute it in and you will have
y=4/3x+b
5=4/3(4)-b
which is
5=16/3-b
b is equal to 1/3
so thats the y int
so the equation will be
y=4/3x-1/3
Step-by-step explanation:
see above
The equation of the proposed bike path would take a similar form to the railroad track (y = mx + c) but adjusted to pass through the point (4,5). Without knowing the slope or y-intercept of the original line (railroad tracks), we cannot provide a specific equation for the bike path.
Explanation:This Mathematical question pertains to the concept of linear equations in coordinate geometry. The problem involves finding the equation of a line that is parallel to the given railroad tracks and denoted as a two-dimensional path. We don't have information on the slope or y-intercept of the railroad tracks in the question, so for the time being, let's assume that the equation of the railroad track line is y = mx + c where m is slope and c is y-intercept.
Any line parallel to y = mx + c will have the same slope 'm'. The given point (4,5) on the new bike path. Hence the equation of the new bike path will be y - 5 = m*(x - 4). We are unable to provide a specific equation without more details about the railroad tracks line.
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Suppose you have 2 1/2 apples. If a student serving consists of 3/4 of an apple, how many students servings( including parts of a serving ) can you make?
Is-54/9 an rational number?
60x5= i need this answer
answer: [tex]300[/tex]
work:
[tex]60[/tex]
[tex]5[/tex]
_________
[tex]300[/tex]
hope this helps! ❤ from peachimin
Answer:300
Step-by-step explanation:5 times 0 is 0 6 times 5 is 30 then you get 300
Sam's track coach stands at the center of a circular track timing Sam's run. Which graph shows Sam's relative distance from the coach compared to time?
How do you write 14/20 as a percentage
Multiply 14/20 by 5 to make the denominator 100. 14/20 x 5 = 70/100. So, 14/20 as a percentage is 70%.
what is the word for a rational number whose cube root is a whole number
a hyperbolic cooling tower is 100 meters wide at the base. the most narrow section of the tower is 100 m above the ground and 40 m wide. how wide is the cooling tower at its highest point, which is 160 m above the ground?
Answer:
The cooling tower is 68 meters wide at its highest point, which is 160 m above the ground.
Please, see the attached files.
Thanks.
Using linear interpolation, we calculated the width of the hyperbolic cooling tower 160 meters above the ground to be 4 meters.
Explanation:The problem presented is related to linear interpolation, which is a method used to find a value between two points on a line. In this problem, we have a hyperbolic cooling tower, which is smaller at its most narrow section than at its base. At the base it is 100 meters wide while 100 meters above the ground it is 40 meters wide. Assuming linear change in the width with respect to height, we can compute the width at the highest point of the tower, which is 160 meters from the ground. The decrease in width per meter as the tower height increases is (100 - 40) / 100 = 0.6 meters/meter.
To determine the width of the tower 160 meters above the ground, we calculate 100 (width at base) - (0.6 * 160) = 100 - 96 = 4 meters. Thus, the tower would be 4 meters wide at the height of 160 meters above ground.
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He gets $200 for showing up and gets paid $15 an hour write a linear equation to represent his earnings
Let H = number of hours worked.
He gets $15 for every hour worked, so you need to multiply 15 by h which is written as 15h
You then need to add that to the $200 he gets for showing up.
Total pay = 15h + 200
Share 35$ in the ratio 4:1
35/5= 7
so,
4*7 = 28 1*7= 7
The answer is 28:7
To share $35 in the ratio 4:1, Person 1 will receive $28 and Person 2 will receive $7.
Explanation:To share $35 in the ratio 4:1, we first need to find the total number of parts in the ratio by adding the two numbers together: 4 + 1 = 5. Next, we divide the total amount of money ($35) by the total number of parts (5) to find the value of each part: $35 / 5 = $7. Now, we can multiply the value of each part by the corresponding ratio values to find the amount of money each person will receive:
Person 1 (4 parts): 4 * $7 = $28Person 2 (1 part): 1 * $7 = $7Therefore, in the ratio 4:1, Person 1 will receive $28 and Person 2 will receive $7.
A squirrel ran 9 miles in 1 hour. Which expression can be used to determine it's miles per hour? plz help due Tuesday. need a fast correct but short answer! plz.
9miles/hour no expressions to chooses from
9 miles/hour. This shows that a squirrel's pace is 9 miles per hour. There is no expression to determine it. It is already in miles per hour form as stated in the question.
What is the measure of angle 1
It would be 56 degrees since it's a vertical angle and to get the obtuse angles you just subtract 180 from 56 and there's your answer. Hope this helped! (':
i think the answer if 56 degrees
I need help with 40a
Hi, here is the solution...
The Fibonacci series 1, 1, 2, 3, 5, 8, 13, 21, 34...
3rd number = Sum of the first two numbers.
2 = 1 + 1
4th number = Sum of the two numbers before it
That is, 3 = 2 + 1
5th number is 5.
5 = 3 + 2 (Sum of the two numbers before 5).
6th number is 8
8 = 5 + 3
7th number is 13
13 = 8 + 5
8th number is 21
21 = 13 + 8
Therefore, the conjecture is " Each number in the series is The Sum of Two Numbers Before it."
Hope you understand the concept.
Thank you :)
The water level at Lake Penny changed −1 1/10 in. this year. Next year, it is predicted to change another −1 2/5 in. What is the total change that will likely occur in 2 years?
Answer:
Total change that will likely occur in 2 years = -2.5 in.
Explanation:
The water level at Lake Penny changed [tex]-1 \frac{1}{10}[/tex] in first year and [tex]-1 \frac{2}{5}[/tex] in in the second year. We need to find total change in the two years.
We know that [tex]a\frac{b}{c}[/tex] can be written as [tex]\frac{ac+b}{c}[/tex]
So [tex]-1 \frac{1}{10}=-(\frac{1*10+1)}{10} )=\frac{-11}{10}[/tex]
[tex]-1 \frac{2}{5}=-(\frac{1*5+2}{5})= \frac{-7}{5}[/tex]
So total change in two years = [tex]\frac{-11}{10}+\frac{-7}{5} =\frac{-11-2*7}{10} =\frac{-25}{10} =-2.5inch[/tex]
Total change that will likely occur in 2 years = -2.5 in.
Answer:
its 2 1/2
Step-by-step explanation:
Solve for x. 8.2x−6.2−7.2x=14 Enter your answer, as a decimal, in the box. x =
Answer is: Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 20.2
The perimeter of a triangle is 40 inches +2nd side exceeds twice the first side by 1 inch the third side is 2 inches less than the second side find the length of each side of the triangle
S2=2*S1+1
S3=3*S1-1
P=S1+S2+S3
42=S1+2*S1+1+3*S1-1
42=6*S1
S1=42/6
S1=7 ANS. FOR S1.
S2=2*7+1=14+1=15 ANS FOR S2.
S3=3*7-1=21-1=20 ANS. FOR S3.
PROOF:
42=7+15+20
42=42
Answer:
Step-by-step explanation:
The perimeter is the addition of all sides
x+y+z=40
where x=1st side, y=2nd side, z= 3rd side
2nd side exceeds twice the first side by 1 inch= y=2x+1
the third side is 2 inches less than the second side z=y-2=2x+1-2=2x-1
plugging in the perimeter equation
x+(2x+1)+(2x-1)=40
5x=40
x=8 inches (1st side)
y=2*8+1=17 inches (2nd side)
z=2*8-1=15 inches (3rd side)
The base of a pyramid has n sides. Write and expression for the number of faces of the pyramid
Remark
The number of faces reaching out in the 3rd dimension of the pyramid = the number of edges on the base.
Givens
Number of edges (or sides on the base)= e
Number of faces = f
Formula
F = e + 1 Don't forget that the base is also a face.
what is 735 divided 5
[tex]\frac{735}{5} = 147[/tex]
Kirsten will do yard work with Ryan during July. Kirsten mows the lawn every third day and Ryan waters the lawn every fourth day. They both trim the hedges every Saturday. Both begin their work on Monday July 1. After the first day,will Kirsten and Ryan work on the same day again? Explain. Will Kirsten and Ryan have to do two jobs on one day? Explain how you know.
Answer:
Let Kirsten and Ryan start their work on 1 st of July.
Kirsten working days are 1,4,7,10,13,16,19,22,25,28,31,...
Ryan working days are 1,5,9,13,17,21,25,........
Now suppose 1 st of July is Monday,so coming Saturday will be on 6,13,19,25,31,....
Yes, Kirsten and Ryan will work on same day again i.e on 13, 25 in the month of July.
Yes ,they have to do the two jobs on one day also i.e on day which Saturday falls i.e on 13, and 25 of july.
A gym hold a 60 minute time exercise class on Saturday a several 45 minute classes during. The week last week all of the classes lasted a total of 285 minutes. Write an equation you can use to find the number of the weekday classes
285=45x+60 because 285 stands alone and its you total. 45x is the its there with the variable x because the it says several
the cost of a phone is reduced by 20%. the new cost is $70.40 . what was the original price?
1. $88.00
2.$84.00
3.$58.40
4.$56.00
sea level is defined as an altitude of 0 ft. A scuba diver dives into the water and, in 3 min, her altitude drops from 0 ft to −126 ft.
What was the diver’s average change in altitude, per minute, for that time period?
A. −348 ft
B. −42 ft
C. 42 ft
D. 348 ft
if kyle is from texas then he is a football fan. Kyle is from texas. Is there a valid conclusion? if yes, what is it?
The logic of a conditional statement ('if-then') is followed here. Given 'If Kyle is from Texas, then he is a football fan' and 'Kyle is from Texas', we can validly conclude 'Kyle is a football fan'.
Explanation:The statement 'if Kyle is from Texas then he is a football fan' is known as a conditional statement in logic. Conditional statements have an 'if' part (the hypothesis) and a 'then' part (the conclusion). In this case, the hypothesis is 'Kyle is from Texas' and the conclusion is 'he is a football fan'. The statement 'Kyle is from Texas' confirms the hypothesis. Therefore, following the logic of the conditional statement, we can conclude that 'Kyle is a football fan'. This conclusion is based on the given condition, in real life, of course, being from Texas doesn't automatically make someone a football fan, but within the confines of this logic, it does.
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how do you solve this -6 ÷[-3/4]=?
The rule to use: when dividing fractions, invert and multiply.
-6 ÷ -(3/4) equals -6 * -(4/3) which equals 24 / 3 which equals
8
10 Points Please Help
Solve for x. -x + 4 = 32
A) x = -36
B) x = -28
C) x = 28
D) x = 36
x=-28 because the minus sign in front of the x will turn the -28 into positive 28 and 28+4 is 32
Your answer would be B.) x = -28
What is 12.2x+50.6y+3(1.4x-2.6y) simplified?
16.4x + 42.8y
Hope this helps & good luck. :)
HELP HAVING ALOT OF TROUBLE!!
Hello!
To solve this problem we first need to find the value of each given item.
12^4 is equal to 12·12·12·12, or 20,736
12·12·12·12·12 is equal to 12^5, or 248,832
With this information being provided, it can be said that 12^4 < 12x12x12x12x12
Hope this helps.
What property is x+(3x+20)=180
The answer is the distributive property