Answers
For a, multiply 10 by 3, which gives you 30. This will serve 30 people.
For b, divide 45 by 3, which gives you 15, meaning 15 cups of rice will feed 45 people.
Hope this helps!!
Related Questions
What is the relationship between area in the scale drawing and area on the on the actual tennis court if the scale is 1in.: 5ft. and the length of the scale is 15.6 and the width is 7.2 in.
What is the ratio of areaof the actual court to the area of the drawing (as a unit rate)? Is it the same as the ratio of length of the actual court to the length of the drawing?
Answers
Given:
Length of the scale = 15.6 in.
Width of the scale = 7.2 in.
Scale of drawing = 1 in. : 5ft.
To find:
The ratio of area of the actual court to the area of the drawing (as a unit rate).
And to check whether it is the same as the ratio of length of the actual court to the length of the drawing.
Step-by-step explanation:
We have,
1 in. = 5ft.
Now, using this scale we get
15.6 in. = (15.6 × 5) ft =78 ft.
7.2 in. = (7.2 × 5) ft = 36 ft.
So, the actual length and width of tennis court are 78 ft and 36 ft respectively.
Area of actual tennis court is
[tex]Area=length\times width[/tex]
[tex]Area=78\times 36[/tex]
[tex]Area=2808\text{ ft}^2[/tex]
The area of drawing is
[tex]Area=15.6\times 7.2[/tex]
[tex]Area=112.32\text{ in.}^2[/tex]
Now, ratio of area of the actual court to the area of the drawing (as a unit rate) is
[tex]\dfrac{2808}{112.32}=\dfrac{25}{1}=25:1[/tex]
Ratio of area is 25:1 and ratio of length is 5:1 both area not same.
Therefore, the ratio of area of the actual court to the area of the drawing (as a unit rate) is 25:1.
Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $109.55. Assume the amounts are normally distributed with standard deviation $21.00. Use the TI-84 Plus calculator to answer the following. (a) What proportion of bills are greater than $135? (b) What proportion of bills are between $84 and $143? (c) What is the probability that a randomly selected household had a monthly bill less than $119? Round the answers to at least four decimal places.
Answers
Answer:
a) 0.11277
b) 0.83253
c) 0.67364
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
Mean = $109.55.
Standard deviation = $21.00.
a) What proportion of bills are greater than $135?
z = (x-μ)/σ
z = 135 - 109.55/21
= 1.2119
Probability value from Z-Table:
P(x<135) = 0.88723
P(x>135) = 1 - P(x<135) = 0.11277
The proportion of bills are greater than $135 = 0.11277
(b) What proportion of bills are between $84 and $143?
For x = $84
z = (x-μ)/σ
z = 84 - 109.55/21
= -1.21667
Probability value from Z-Table:
P(x = 84) = 0.11187
For x = 143
z = (x-μ)/σ
z = 143 - 109.55/21
= 1.59286
Probability value from Z-Table:
P(x = 143) = 0.9444
The proportion of bills are between $84 and $143
= P(x = $143) - P(x = 84)
= 0.9444 - 0.11187
= 0.83253
(c) What is the probability that a randomly selected household had a monthly bill less than $119?
For x = $119
=119 - 109.55/ 21
= 0.45
Probability value from Z-Table:
P(x<119) = 0.67364
The probability that a randomly selected household had a monthly bill less than $119 is 0.67364
-3.5 , 2 , -3 , -1 , -1.5
Least to greatest
Answers
Answer:
-3.5, -3, -1.5, -1, 2
Step-by-step explanation:
Answer:
-3.5, -3, -1.5, -1, 2
Step-by-step explanation:
negatives to positives
Brian bought a fish tank that is 22 in. long, 12 in. wide, and 16 in. tall. Which is the volume of the fish tank?
Answers
Answer: 4224 feet cubed
Step-by-step explanation:
Volume for a rectangular tank =LxWxH
22x12x16=4,224
Answer:
4224in^3
Step-by-step explanation:
The formula for volume is height x length x width ( x means multiply)
so to find the volume of the fish tank you multiply each of the sides by each other, 12x16x22. So the volume of the fishtank is 4224 inches cubed(^3) make sure you write the cubed and units at the end, just like how for area you always make it squared.
A gym was advertised to cost $23 a month with a one-time fee of $74. If the total
bill was $373, how many months was paid for? *
Your answer
Answers
Answer:
Step-by-step explanation:
$373 - $74 = $299
299 divided by 23 = 13
13 months (?)
y = 3 in two variable
Answers
Step-by-step explanation:
If Y = 3 is treated as an equation in one variable, then it has a unique solution y= 3. So it is a point on the number line. Given equation Y equal to 3 can be written as 0. x + y = 3, which is a linear equation in two variables x and y.
what does 6 x 9 equal?
Answers
Answer:
54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
Please hurry need help
Answers
Answer:
-11
Step-by-step explanation:
which of the following fractions is equivalent to 4/7 A 6/9 B 8/14 C 2/3 D 8\21
Answers
Henry can write 5 pages of his novel in 3 hours at this rate how many pages can Henry write in 8 hours
Answers
Answer:
13.3 pages.
Step-by-step explanation: Hopefully this helped a lot !
Determina la ecuación de recta de una recta en su forma estándar, tal que contiene al
punto(3,-4) y es paralela a la recta que pasa por (0,2) & (3,1).
Answers
Which of the following statements is true?
The number 0 is a natural number.
The number is an integer.
The value π is a rational number.
The number -5 is a real number.
Answers
Answer:
The number -5 is a real number is true.
Answer:
what number is the second sentence
A linear function and a quadratic function both have a domain of all real numbers.
True
False
?
Answers
Answer: True
Explanation: The domain of a quadratic function in standard format is always all real numbers, meaning you can substitute any real number for x. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.
Linear function is almost always going to be all real numbers. The range of a non-horizontal linear function is all real numbers no matter how flat the slope might look.
the range of the function shows all real values
Check off all factors of the given number 9,301
Answers
Answer:
1, 71, 131, and 9301.
Step-by-step explanation:
Write 4h(x) in standard form
What is it in standard form?
Answers
Answer:
The answer is 4 h ( x ).
Step-by-step explanation:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
If a - 3 = 3^2/3 + 3^1/3, find the value of a^3 - 9a^2 + 18a.
Answers
Answer:
a(a-6)(a-3)
Step-by-step explanation:
Which expression represents the phrase: “3 fewer than a number, p”? *
a) 3 – p
b) p / 3
c) 3 / p
d) p – 3
Explain pls and ty < 3
Answers
d) p - 3
3 fewer than menas you need to subtract 3
The expression represents the phrase “3 fewer than a number, p” is (p-3).
GivenExpression; the phrase: “3 fewer than a number, p”
What is the phrase?A small group of words standing together as a conceptual unit, typically forming a component of a clause:
The given number is p which is smaller than a number which is 3.
Expression; the phrase: “3 fewer than a number, p”
Then,
The expression represents the phrase is;
[tex]\rm =P-3[/tex]
Hence, the expression represents the phrase “3 fewer than a number, p” is (p-3).
To know more about the Phrase click the link given below.
https://brainly.com/question/13125617
PLEASE HELP!!! ILL GIVE BRAINLIEST THIS IS WORTH 30 POINTS PLEASE (ignore where it says 10 points it’s how much the question adds up to in the grade book)
Answers
Answer:
4.472136 or 4.5 is the distance.
(2, -4) is the midpoint.
Step-by-step explanation:
Answer:
4.47 units(2, -4)Step-by-step explanation:
Given points
A(1, -2) and B(3, -6)Distance AB is
AB = √((3 -1)^2 + (-6 + 2)^2) = √(4+16) = √20 = 4.47Midpoint is
M = ((1+3)/2, (-2- 6)/2) = (2, -4)The same amount of principal is invested in different accounts earning the same interest rate. Which of the following
accounts would have the greatest accumulated value at the end of one year?
a. An account earning no interest
b. An account earning simple interest
C. An account earning interest compounded annually
d. An account earning interest compounded daily
Please select the best answer from the choices provided
.
А A
OB
С
D
Answers
Answer:
d. An account earning interest compounded daily
Step-by-step explanation:
An account earning interest compounded daily will have the greatest accumulated value at the end of one year.
Compound interest provides a higher return on value compared to simple interest even much more so when it is done daily.
Compound interest is an interest accrued on the principal and subsequent interest on capital. Simple interest is simply interest on the capital alone. The time duration plays an important role. A principal compounded daily at a certain rate will yield more value at the end of a year than one compounded weekly, monthly, quarterly or annually.Therefore, an account earning interest compounded daily will give a better return of value.
Suppose our retirement account pays 9% apr compounded monthly; what size nest egg do we need in order to retire with 25 years that yields to $5,000 per month? Show all work
Answers
Answer:
$595,808.11
Step-by-step explanation:
We assume the retirement account is intended to pay out $5000 per month for 25 years. The amortization formula can be used to find the required amount. The monthly payment A based on principal P with interest at annual rate r for t years satisfies the relation ...
A = P(r/12)/(1 -(1 +r/12)^(-rt))
P = A(12/r)(1 -(1 +r/12)^(-rt))
P = 5000(12/0.09)(1 -(1 +.09/12)^-300)
P = $595,808.11
The required nest egg is $595,808.11.
Which equation represents a linear function?
Answers
Answer:
Y=2x-6
Step-by-step explanation:
Linear equation in two variables represents a line.
15 points
Draw a square
side 5cm
Diagonal 5cm
how will i draw it
with both 5cm
Answers
Answer:
that's easy
Step-by-step explanation:
first we should check the 5 cm in scale .
Then we can easily draw 5 cm in side and diagonal.
hope it's clear to you.
HELPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!
Answers
Answer:
so
Step-by-step explanation:
the first goes 3rd
the 2nd goes 1
3rd goes 4
A number is doubled and then increased by nine. The result is ninety- Three. What is the original number?
Answers
Answer:
42
Step-by-step explanation:
First you subtract 93 by 9. You get 84. Then you divide it by 2. Which is your answer, 42.
This can be represented as:
93=2x+9
First subtract 9 from both sides
84=2x
Then divide by 2 on both sides
42=x
On Friday, the temperature changes -30 each hour. If the temperature changed for 7 hours, what is the total temperature change?
Please hurry and answer!
Answers
A -120 difference will be seen in the temperature within a 7 hour period
Equation
-30 x 7
Multiplying two of different signs ( - + , + - ) will always be negative.
Multiplying two of the same sign ( - - , + + ) will always be positive.
11/12 of the disk space on a
hard drive is unused. 3 people
need to use the remaining disk
space evenly. How much of the
total disk space will 1 user get?
Answers
Answer:
2 whole number 1 out of 4
Step-by-step explanation:
11/12 x 3
11/4 = 2remainder 3
2 whole number 3 out of 12
When u reduce it will be 2 whole number 1 out of 4
pls helpppppppp i need help i dont get it lol
Answers
Okay, so what you're basically doing is finding out how much salsa is in the pot. To me, it seems like a trick question.
If two quarts is 2 1/2 of salsa, and they're asking you how much salsa is one quart, you would probably want to simplify 2 1/2. That would come to 2/5. 2/5 simplified would be 0.4 in fractions would total to 1 1/4. That would be your answer.
I hope this helped!
To buy a car, you borrow $25,000 with a term of three years at an APR of 6.5%. What is your monthly
payment? Show all work
Answers
Answer:
$766.23
Step-by-step explanation:
The amortization formula is appropriate for this. (Better, use a financial calculator or spreadsheet.)
A = P(r/12)/(1 -(1 +r/12)^-(12t))
where P is the amount borrowed (25,000), r is the annual rate (0.065), and t is the number of years (3).
Putting the given numbers into the formula, we have ...
A = $25,000(0.065/12)/(1 -(1 +0.065/12)^(-36))
A = $25,000(.00541667)/(1 -1.00541667^-36)
A = $25,000(0.00541667)/(0.1767322)
A = $766.23
The monthly payment is $766.23.
_____
Comment on tools
A graphing or scientific calculator is useful for these. Something like a TI-84, or any of the equivalents, will have financial calculations like this built in. There are also numerous apps available for phone or tablet that will do financial calculations.
When you barter, you must ______ in order to buy something ?
Answers
Answer: exchange
Step-by-step explanation:
Answer:
Trade it for something else.
Step-by-step explanation:
when bartering, you trade for items you want, and give away items you don’t want. You should also consider if the item you are trading for works. Be skeptical about the things you are trading Or giving. And make sure to also to get a good trade, and not blame others for them doing a bad trade.
Hope this helps!- Artistsani
Can someone please help, ty!! (Will mark brainliest)
Answers
Step-by-step explanation:
y-1=-4/7*(x-(-4))
7(y-1)=-4(x+4)
7y-7=-4x-16
7y+4x=-16+7=-9
so is the first one
Answer:
7y+4x=-9
Step-by-step explanation:
y=-4/7 x +b
1=-4/7 (-4)+b
b=1-16/7
b=7-16/7
b=-9/7
7y=-4x-9
7y+4x=-9
