To find out how many servings are in a 15 cup bag of pasta when serving size is 3/4 cup per person, divide 15 by 3/4, which equals 20 servings.
Firstly, convert the mixed fraction into an improper fraction for easier division: 3/4 remains the same since it is already a proper fraction.
Now, carry out the division: 15 ÷ (3/4)
= 15 × (4/3) (You multiply by the reciprocal of 3/4)
Then, multiply the numbers:
= 15 × 4 ÷ 3
= 60 ÷ 3
= 20
Therefore, there are 20 servings in a 15 cup bag of pasta when the serving size is 3/4 cup per person.
A scientist has four petri dishes of different sizes. Each dish contains a different number of bacteria. Find each population density, to the nearest hundredth. Which statement is true? Dish A has the lowest population density. Dish C has the greatest population density. Dish A and Dish B have approximately the same population density. Dish C and Dish D have approximately the same population density.
The statement that is True is Option D which says:
"Dish C and Dish D have approximately the same population density."
What is Population Density?The population density of an area is the Number of Entities in that space/Total Area occupied by the population.
It can also be written as Dp = N/A.
Because the Dp of Dish C and Dish D is approximately 0.68, we can say that they have approximately the same Dp.
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What are the coordinates of the vertices of the triangle under the translation (x, y) mc011-2.jpg (x + 1, y - 4)?
(0, -3), (0, 0), (3, -3)
(-3, 0), (3, -3), (0, -3)
(0, -3), (-3, -3), (-3, 0)
(-3, 0), (0, 0), (-3, -3)
it is c :
(0,-3), (-3,-3), (-3,0)
just take the X and Y of the coordinates of the original triangle and substitute it in the given equation (x + 1, y - 4)
try it out yourself it works :)
If an amount of money, called principle, p, is deposited into an account that earns interest at a rate r, compound annually, then in two years that investment will grow to an amount A, given by the formula A=P(1+r)^2. If a principle amount of $5000 grows to $5940.50 in two years, what is the interest rate?
Final answer:
By using the compound interest formula A=P(1+r)² and the given values, we find the interest rate to be approximately 0.09, or 9% annually.
Explanation:
To find the interest rate r that grew the principal P from $5000 to $5940.50 over two years with compound interest, we use the formula A=P(1+r)². Here, A is the amount of money accumulated after n years, including interest. We are given that A is $5940.50 and P is $5000.
Let's plug in the values and solve for r:
5940.50 = 5000(1+r)²
1.1881 = (1+r)²
To find r, we take the square root of 1.1881:
Subtracting 1 from both sides to isolate r, we get:
r = 1.09 - 1
r = 0.09
The approximate interest rate is 0.09, which means the annual interest rate is 9%.
evaluate the expression h-6 when h=15
find the missing values in the ratio table .then write the equivalent ratios .
The missing values are 12 and 18.
The ratios are [tex]\dfrac{9}{12}[/tex] and [tex]\dfrac{18}{24}[/tex].
The given table is:
[tex]\begin{center}\begin{tabular}{ c c c c } shoes & 36 & 9 & y \\ socks & 48 & x & 24 \\\end{tabular}\end{center}[/tex]
Since all the columns are pertaining same ratio; thus we have:
[tex]\dfrac{36}{24} = \dfrac{9}{x} = \dfrac{y}{24}\\\\\dfrac{3}{4} = \dfrac{9}{x} = \dfrac{y}{24}\\\\\\or\\\\\dfrac{3}{4} = \dfrac{9}{x}\\\\x = 12\\\\and \\\\\dfrac{3}{4} = \dfrac{y}{24}\\\\y = 18[/tex]
Thus, the missing values x and y are 12 and 18 respectively.
And the are ratios [tex]\dfrac{9}{12}[/tex] and [tex]\dfrac{18}{24}[/tex].
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Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah’s account, y, after x years?
Answer:
D
Step-by-step explanation:
Y=(2x-3)^5(2-x^4)^3 differentiate the function please
The science club raised money to clean the beach. They spent $29 on trash bags and $74 on waterproof boots. They still have $47 left. How much did they raise?
Answer:
They raised $150
Step-by-step explanation:
In order to solve this you just need to reverse the actions that they took in order to get to 47 dollars left, so the total amount they raised will be represented by letter X, so 47 is what is left after spending 29 on trash bags and 74 on waterproof boots, that means that from the total we are withdrawing those amounts and the result will be 47:
Total-Money spent=47
X-29 - 74= 47
x=47+74+29
x=150
So now we know that they originally had 150 dollars and that would be what they raised.
Kellogg's produced 715000 boxes of cornflakes this year. This was 110% of annual production last year. What was last year's annual production?
It is found that 5 out of every 8 college students like algebra. If a certain college has 4,000 students, how many of them like algebra?
Let a = {2, 9}, b = {9, 13, 28}, d = {40} and s = sample space = a ∪ b ∪
d. identify bc ∪
a.
The union of sets a, b, and d (a ∪ b ∪ d) gives you the set {2, 9, 13, 28, 40}. Set 'a' is simply the set containing elements 2 and 9.
Explanation:To resolve the question, we need to analyze what each symbol means. The ∪ symbol in set theory represents union, meaning everything that is in either of the sets or in both. However, it seems there is a typographical error in your question with 'bc'. As 'c' is not defined, we will proceed by ignoring that particular part and focus on 'a' which is defined.
So, if we're looking to identify a = {2,9}, it simply means the set that contains two elements: 2 and 9.
As your question stands, based on the provided sets, s = a ∪ b ∪ d = {2, 9, 9, 13, 28, 40} but when we simplify the set (since a set does not contain duplicate values), we get s = {2, 9, 13, 28, 40}.
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Two pools are being filled with water. To start, the first pool contains 890 liters of water and the second pool is empty. Water is being added to the first pool at a rate of 20.5 liters per minute. Water is being added to the second pool at a rate of 42.75 liters per minute.
long division 573÷15=
Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = pi over 2 ?
Answer:
D 3pi/8 , 5pi/8
Step-by-step explanation:
What is 2/3 times 3/4
This graph models the number of teachers assigned to a school, as determined by the number of students. What is the constant of proportionality?
1/25
1/20
1/15
1/10
Answer:
The correct option is 3.
Step-by-step explanation:
Form the given figure it is noticed that the line is passing through the points (60,4) and (120,8).
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
Where, k is the constant of proportionality or slope.
The slope of a line is defined as
[tex]k=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]k=\frac{8-4}{120-60}[/tex]
[tex]k=\frac{4}{60}[/tex]
[tex]k=\frac{1}{15}[/tex]
Therefore option 3 is correct.
Write an equation in point-slope form of the line through point p(9, -1) with slope -5.
In , is a right angle. find the remaining sides and angles. round your answers to the nearest tenth . show your work. a = 3, c = 1 9
what is a fixed charge for borrowing money; usually a percentage of the amount borrowed?
483 is what part of 121?
Answer:
yes, since 483 is greater than 121, the correct answer is a whole number with a fraction:
483/121 = 3.991, or about 4. "483 is approx. four times 121."
The problem is
2n>14
n=?
The submarine is traveling at a depth of 152 feet below sea level. The submarine was given instructions to rise 63 feet and then drop 84 feet. Write an expression that describes this situation
Beverly made a deposit of $375 into her checking account. Then she withdrew $ 65. The next day, she wrote a check for $ 135. She had $475 before any of these transactions. How much money is in her account now?
Norma and Rene are serving cupcakes at a school party. If they arrange the cupcakes in groups of 2.3.4.5. or 6 they have exactly one cupcake left over. what is the smallest number of cupcakes they could have?
We are given that there are 5 groups which are:
group of 2
group of 3
group of 4
group of 5
group of 6
and 1 left over
So the smallest number of cupcakes would simply be the sum of all:
smallest number of cupcakes = 2 + 3 + 4 + 5 + 6 + 1
smallest number of cupcakes = 21
Write a rule for the linear function in the table.
x; f(x)
2 8
5 17
5 11
11 23
A; f(x) = x + 5
B;f(x) = x + 1
C;f(x) = 2x + 1
D;f(x) = –2x – 1
the correct answer is A. [tex]\( f(x) = 2x + 1 \).[/tex]
To find the rule for the linear function represented in the table, we can use the formula for a linear function, which is:
[tex]\[ f(x) = mx + b \][/tex]
Where:
- m is the slope of the line
- b is the y-intercept
Given the table:
[tex]\[ \x & : 2, 5, 8, 11 \\f(x) & : 5, 11, 17, 23\end{align}\][/tex]
We can start by finding the slope (m) using the formula:
[tex]\[ m = \frac{{f(x_2) - f(x_1)}}{{x_2 - x_1}} \][/tex]
Let's choose two points from the table, for example, (2, 5) and (5, 11):
[tex]\[ m = \frac{{11 - 5}}{{5 - 2}} \]\[ m = \frac{{6}}{{3}} \]\[ m = 2 \][/tex]
So, we have found that the slope m is 2.
Now, we can use the slope-intercept form of a line to find the y-intercept (b). We can pick any point from the table to do this. Let's use the point (2, 5):
f(x) = mx + b
5 = 2(2) + b
5 = 4 + b
b = 5 - 4
b = 1
So, we have found that the y-intercept b is 1.
Now, we can write the rule for the linear function:
[tex]\[ f(x) = 2x + 1 \][/tex]
Therefore, the correct answer is A. [tex]\( f(x) = 2x + 1 \).[/tex]
The complete question is:
Write a rule for the linear function in the table.
x = 2,5,8,11
f(x) = 5,11,17,23
A. f(x) = 2x + 1
B. f(x) = x + 5
C. f(x) = –2x – 1
D. f(x) = 1/2x+1
how many hours would someone who earns 9.75 per hour have to work to earn 351
What is the equation with the difference of 54.57
I Need to identify the property that justifies each step to simplify the expression
Determine the number of significant digits in each number and write out the specific significant digits. 405000
Find an equation of the tangent line to the bullet-nose curve y=|x|/sqrt(2−x^2) at the point (1,1) I think that square root is what is confusing me on this question