At that rate, about how many gallons of milk will they need to purchase in a year’s time?
Give your answer as a whole number.
Answers
Answer: 260 gallons
Step-by-step explanation:
We can use a proportion to solve this problem. We know that a family used 15 gallons of milk every 3 weeks. Since the problem asks for how much they will need for a year, we can gather that a year is 52 weeks. We can come up with the following proportion.
[tex]\frac{15}{3} =\frac{x}{52}[/tex] [cross multiply]
[tex]3x=780[/tex] [divide both sides by 3]
[tex]x=260[/tex]
Therefore, they will need to purchare 260 gallons.
Related Questions
please solve asap thanks
Answers
Answer:
A' (-2,3)
B' (-1,1)
C' (-4,0)
Step-by-step explanation:
Given coordinates:
A (3,0)
B (4,-2)
C (1,-3)
We want to find the location of the coordinates after a translation of <-5,3>
Explanation of translation
<-5,3>
Subtract 5 from the x value and add 3 to the y value
Applying translation
A (3,0) ---------> (3-5,0+3) ---------> (-2,3)
B (4,-2) ---------> (4-5,-2+3) ---------> (-1,1)
C (1,-3) ---------> (1-5,-3+3) ---------> (-4,0)
So the new coordinates would be
A' (-2,3)
B' (-1,1)
C' (-4,0)
In the statements below, V is a vector space. Mark each statement true or false. Justily each answer a. The set R is a two-dimensional subspace of R3.Choose the correct answer below O A. False, because R2 is not closed under vector addition. O B. True, because R2 is a plane in R3 Ос. False, because the set R2 is not even a subset of R3 OD. True, because every vector in R2 can be represented by a linear combination of vectors inR3 b. The number of variables in the equation Ax 0 equa's the dimension of Nul A. Choose the correct answer below O A. False, because the number of free variables is equal to the dimension of Nul A. O B. True, because the number of variables in the equation Ax 0 equals O C. True, because the dimension of Nul A equals the largest any solution to O D. False, because the number of plvot columns is equal to the dimension of Nud A. c. A vector space the number of columns in A and the number of columns in A equa's the dimension of Nul A. number of Os in any solution to the equation Ax -b, and the equation Ax- 0 always has the trivial solution, so the number of variables is infinite-dimensional if it is spanned by an infinite set Choose the correct answer below O A. True, because the dimension of a vector space is equal to the number of elements in a set that spans O B. Faise, because a basis for the vector space may O C. True, because the dimension of a vector space number of O D. Faise, because all vector spaces are finite-dimensional. d. If dim Van and it S spans V, then S is a basis of V. Choose the correct answer below. the vector space. have only finitely many elements, which would make the vector space finite-dimensional is the number of vectors in a basis for that vector space, and a vector space spanned by an infinite set has a basis with an infinite number of vect O A. False, because the set S must have less than n elements O B. True, because if a vector space is finite-dimensional, then a set that spans t is a basis of the vector space O C. False, in order for S to be a basis, it must also have n elements O D. True, because if a set spans a vector space, regardiess of the dimension of the vector space, then that setis a basis of the vector spaoe e. The only three-dimensional subspace of R3 is R3 itself. Choose the correct answer below Faise, because False, because any subspaces of R3 which contain three-element vectors are three-dimensional, but most of these most three-dimensional subspaces of R3 are spanned by a linearly dependent set of tree vectors, but R can only be sparned by thre Inearly independent vectors subspaces do not contain all of R
D. True, because any three linearly dependent vectors in R3 span all of R3, so there is no three-dmensional subspace of R' that is not R
Answers
Answer:
A. False
B. True
C. False
D. True
Step-by-step explanation:
Only three dimensional subspace for R3 is R3 itself. In a 3 d subspace there are 3 basis vectors which are all linearly independent vectors. Dimension of a vector is number of subspace in that vector. Finite set can generate infinite dimension vector space.
look at the image below
Answers
Answer:
SA = 153.9m^2
Step-by-step explanation:
SA = 4[tex]\pi[/tex][tex]r^{2}[/tex]
r = 3.5
SA = 4[tex]\pi[/tex][tex](3.5)^{2}[/tex]
SA = 4[tex]\pi[/tex](12.25)
SA = 49[tex]\pi[/tex]
SA = 153.9m^2
A local food bank uses volunteers to staff the kitchen. If there are 30 college students working there out of a total of 100 volunteers, what is the probability that in a sample of 10 volunteers, 4 of them are college students? Four decimal places please!
Answers
Now let’s pick 4 students that we know for sure, mark 10 spots and have them walk randomly into each taking exactly 1 spot. There are C (10,4) possible combinations of choosing 4 people to walk in, for example 4s taking spot 3,6,7,10; 2,5,7,8; … C(10,4) = 210 ways. This represents that in a 10 spot line with 4 students and 6 non students in it, no matter how they are arranged there are 210 ways they line up. Now since each way has a prob 1/1024 we have a probability of 210 ways multiply by 1/1024 which = 55/256.
That was the case with large pool of equal number of S and N let’s make it a more realistic say 50 students and 50 non students. (1/2 derived from 50/100 or 5/10)
So now we have 30 students and 70 non students pool, the answer should be (3/10)^4*(7/10) ^6 which is the probability of 4 students and 6 non students lined up in some way while choosing them from the pool. Here we can also see that each 10 people sample no longer have the same probability. And that number came out to be 0.0081*0.117649=0.00095. And again there are 210 ways of arranging them so the probability is 210 ways multiply by 0.00095 which is 20%. This is the Answer.
find the measure of c
Answers
Answer:
B is the correct answer of this question
Find the value of 21 - 18 \ 3•2
18
1/2
2
9
Answers
Answer:
use m a t h w a y
Step-by-step explanation:
A sample of 45 bottles of soft drink showed a variance of 1.1 in their contents. The process engineer wants to determine whether or not the standard deviation of the population is significantly different from 0.9 ounces. What is the value of the test statistic
Answers
Answer:
The value of the test statistic is 59.75.
Step-by-step explanation:
The test statistic for the population standard deviation is:
[tex]\chi^2 = \frac{n-1}{\sigma_0^2}s^2[/tex]
In which n is the sample size, [tex]\sigma_0[/tex] is the value tested and s is the sample standard deviation.
A sample of 45 bottles of soft drink showed a variance of 1.1 in their contents.
This means that [tex]n = 45, s^2 = 1.1[/tex]
The process engineer wants to determine whether or not the standard deviation of the population is significantly different from 0.9 ounces.
0.9 is the value tested, so [tex]\sigma_0 = 0.9, \sigma_0^2 = 0.81[/tex]
What is the value of the test statistic
[tex]\chi^2 = \frac{n-1}{\sigma_0^2}s^2[/tex]
[tex]\chi^2 = \frac{44}{0.81}1.1 = 59.75[/tex]
The value of the test statistic is 59.75.
(x+y)^2 where x= 4 and y= -3
Answers
(4-3)^2
1*1
answer is 1
find the amount of time to the nearest day it would take a deposit of $2500 to grow to $1 million at 2% compounded continuously. find how many days & years
Answers
Answer:
Years = natural log (Total / Principal) / Rate
Years = natural log (1,000,000 / 2,500) / .02
Years = natural log (400) / .02
Years = 5.9914645471 / .02
It would take 299.573227355 Years
Source: http://www.1728.org/rate2.htm
Step-by-step explanation:
(x)=4log(x+2) Which interval has the smallest average rate of change in the given function? 1≤x≤3 5≤x≤7 3≤x≤5 −1≤x≤1
Answers
Answer:
5≤x≤7
Step-by-step explanation:
For a given function f(x), the average rate of change in a given interval:
a ≤ x ≤ b
is given by:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
Here we have:
f(x) = 4*log(x + 2)
And we want to see which interval has the smallest average rate of change, so we just need fo find the average rate of change for these 4 intervals.
1) 1≤x≤3
here we have:
[tex]r = \frac{f(3) - f(1)}{3 - 1} = \frac{4*log(3 + 2) - 4*log(1 + 2)}{2} = 0.44[/tex]
2) 5≤x≤7
[tex]r = \frac{f(7) - f(5)}{7 - 5} = \frac{4*log(7 + 2) - 4*log(5 + 2)}{2} = 0.22[/tex]
3) 3≤x≤5
[tex]r = \frac{f(5) - f(3)}{5 - 3} = \frac{4*log(5 + 2) - 4*log(3 + 2)}{2} = 0.29[/tex]
4) −1≤x≤1
[tex]r = \frac{f(1) - f(-1)}{1 - (-1)} = \frac{4*log(1 + 2) - 4*log(-1 + 2)}{2} = 0.95[/tex]
So we can see that the smalles average rate of change is in 5≤x≤7
Which letter on the diagram below represent a diameter of the circle
Answers
Answer:
where is your diagram?
Step-by-step explanation:
HELP ASAP PLEASE! Accounting class! Lorge Corporation has collected the following information after its first year of sales. Sales were $1,575,000 on 105,000 units; selling expenses $250,000 (40% variable and 60% fixed); direct materials $606,100; direct labor $250,000; administrative expenses $270,000 (20% variable and 80% fixed); and manufacturing overhead $357,000 (70% variable and 30% fixed). Top management has asked you to do a CVP analysis so that it can make plans for the coming year. It has projected that unit sales will increase by 10% next year.
(See screenshots)
Answers
Answer:
what is thia
Step-by-step explanation:
i have no idea what you juat said like fr what topic is this im too bored to read the queation
what is b x b equialent to?
Answers
Answer:
b^2
Step-by-step explanation:
You're going to add the exponents from b x b, both carry a 1 in their powers (or exponents)
so b^1 + b^1 = b^2
Answer:
b^2
Step-by-step explanation:
b*b = b^2
What two numbers add to 13 and multiply to -48?
Answers
Answer:
16 x -3 and 16-3
Step-by-step explanation:
If you multiply 16 and -3 you get -48 and if you subtract 3 from 16 you get 13 (hope this helped) :)
kaiden and her brother both open savings accounts. each begin with a balance of zero dollars. for every two dollars that kaiden saves in her account, her brother saves five dollars. if kaiden saves 300 dollars how much did her brother save
Answers
The ratio is 2:5
Kaiden saves=300$Let her brother saves xATQ
[tex]\\ \sf\longmapsto \dfrac{300}{x}=\dfrac{2}{5}[/tex]
[tex]\\ \sf\longmapsto 2x=300(5)[/tex]
[tex]\\ \sf\longmapsto 2x=1500[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{1500}{2}[/tex]
[tex]\\ \sf\longmapsto x=750\$[/tex]
The maximum and minimum Values of a quadratic function are called as______of the function.
Answers
Answer:
the answer is B ...Extreme Values
About 60% of U.S full-time college students drank alcohol within a one-month period. You randomly select six U.S. full-time college students. Find the probability that the number of U.S. full-time college students who drank alcohol within a one-month period is exactly two.
Answers
Answer:
13.82%
Step-by-step explanation:
Here we have proportion of U.S. full time college students= p = 0.60, Random sample = n = 6
Here we apply Binomial distribution .
p ( X =x ) = nCx * px * ( 1 -p) n-x
a) Exactly two.
P ( x = 2 ) = 6C2 * 0.602 * ( 1 -0.60) 6-2
= 0.1382
Turn 43 1/23 into an improper fraction
Answers
Answer:
990/23
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
23 × 43 = 989
Step 2
Add the answer from Step 1 to the numerator
989 + 1 = 990
Step 3
Write answer from Step 2 over the denominator
990/23
I hope this answer helps you out! Brainliest would be appreciated.
Which phrase defines part of speech a model shows rays of sunlight moving straight from the sun perpendicular to the surface of the Earth. What are these rays called?(1 point) angled rays indirect rays direct rays parallel rays
Answers
A model shows rays of sunlight that moves straight from the sun perpendicular to the surface of the earth are called angled ray.
What are angled rays?In optics, a ray is an idealized geometrical model of light, obtained by choosing a curve that is perpendicular to the wavefronts of the actual light, and that points in the direction of energy flow.
An Angled ray can be described as a ray that is been formed when two rays are joined together at their starting point.
It should be noted that the ends of the rays extend infinitely, hence A model shows rays of sunlight that moves straight from the sun perpendicular to the surface of the earth are called angled ray.
Therefore, a model shows rays of sunlight that move straight from the sun perpendicular to the surface of the earth are called angled ray
Read more on the angled ray here:
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The phrase that defines the part of speech a model shows rays of sunlight moving straight from the sun perpendicular to the surface of the Earth is the direct rays. The Option C.
What are the rays that move straight from the sun perpendicular to the Earth's surface called?Direct rays are the sunlight beams that travel straight from the sun and strike the Earth's surface at a right angle. These rays provide concentrated energy and warmth, and their intensity can vary depending on factors like the Earth's tilt and position in its orbit.
Therefore, the phrase that defines the part of speech a model shows rays of sunlight moving straight from the sun perpendicular to the surface of the Earth is the direct rays.
Read more about sunlight rays
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I need help ASAP thank you
Answers
Answer:D) Under-root 25.Under-root 3
Step-by-step explanation
Under-root 25 = 5
Answer:
Answer D and B.
Step-by-step explanation:
[tex]{ \bf{5 \sqrt{3} }} \\ = { \bf{ \sqrt{ {5}^{2} } \times \sqrt{3} }} \\ = { \bf{ \sqrt{25} . \sqrt{3} }}[/tex]
Please help me answer this question?
Answers
Answer:
2+2
Step-by-step explanation:
2 + 4!
3-5
3_4
3-6
2-5
2+5
2_3
2-5
Answer:
(A) 12x³ - 12x
(B) -288
(C) y = -288x - 673
(D) x = 0, 1, -1
Step-by-step explanation:
See images. If it's not clear let me know.
f(x)=3(x+5)+4/xwhat is f (a+2) solve this problem with showing the work
Answers
in a survey of 90 students, the ratio of those who work outside the home to those who don't is 6:4. How many students work outside the home according to this survey? SHOW ALL WORK! AND ONLY ANSWER IF YOU KNOW THE ANSWER!
Answers
9514 1404 393
Answer:
54
Step-by-step explanation:
The fraction of the total that work outside the home is ...
outside/(outside +inside) = 6/(6+4) = 6/10
Then the number of those surveyed who work outside the home is ...
(6/10)(90) = 54 . . . work outside the home
There is a pile of 55 coins consisting of nickels and dimes worth $3.90. Find the number of each if you say that the nickels are x.
Answers
Answer:
There are 32 nickels and 23 dimes.
Step-by-step explanation:
Lets say x is nickels and y is dimes
The first equation would be 55 = x + y
The second equation would be .05x + .10y = 3.90
The Solving Part:
Move y to the other side: x = 55 - y
Substitute x in the second equation: .05(55-y) + .10y = 3.90
Distribute, rearrange, and combine like terms: .05y = 1.15
Solve for y: Y = 23
Plug in 23 for y and solve: 55 - y = x ; 55 - 23 = x ; 55 - 23 = 32
x = 32
y = 23
32 nickels and 23 dimes
Answer:
There are 32 nickels and 23 dimes.
Step-by-step explanation:
Yay :) we solved the problem together :)))))
What is the recursive formula for this
geometric sequence?
-3, -21, -147, -1029, ...
Answers
Answer:
an = an-1 *7
a1 = -3
Step-by-step explanation:
We are multiplying by 7 each time
-3*7 = -21
-21 *7 = -147
The formula for a geometric sequence is
an = a1 * (r)^(n-1) where r is the common ratio and n is the term number
an = -3 ( 7) ^(n-1)
The recursive formula is
an = an-1 * r
an = an-1 *7
a1 = -3
Answer:
Step-by-step explanation:
common ratio = 7
nth term = ((n-1)th term)×7 = a₁×7ⁿ⁻¹
Using Eulers formula, how many edges does a polyhedron with 9 faces and 14 vertices have?
Answers
F + V = E + 2
SolutionF = 9V = 14E = ?Substuting the values⇨ 9 + 14 = E + 2
⇨ 23 = E + 2
⇨ 23 - 2 = E
⇨ 21 = E
Hence , the number of edges in polyhedron is 21.
The number of edges of a polyhedron with 9 faces and 14 vertices have will be 21.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
here, we have,
Using Euler's formula, the number of the edges does a polyhedron with 9 faces and 14 vertices have
We know the formula for the edges of the polyhedron will be
By Euler's Formula
F + V = E + 2
The number of faces, vertices, and edges of a polyhedron are denoted by the letters F, V, and E.
Then we have
Solution
F = 9
V = 14
E = ?
Substuting the values
⇨ 9 + 14 = E + 2
⇨ 23 = E + 2
⇨ 23 - 2 = E
⇨ 21 = E
Hence , the number of edges in polyhedron is 21.
More about the polygon link is given below.
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2 cans of beans cost 98¢ how many cans can you buy for $3.92?
Answers
0.98 divided by 2 = 0.49
3.92 divided by 0.49 = 8
8x0.49=3.92
Need help pleaseeee!!!
Answers
Answer:
C is wrong!
Step-by-step explanation:
The explanation is in the picture!
for the vector (-9,3), find 1/2V, -V, and 4V
Answers
9514 1404 393
Answer:
1/2V = <-9/2, 3/2>-V = <9, -3>4V = <-36, 12>Step-by-step explanation:
The scalar multiplier multiplies each of the components.
1/2V = <-9×1/2, 3×1/2> = <-9/2, 3/2>
-V = <(-9)(-1), (3)(-1)> = <9, -3>
4V = <-9×4, 3×4> = <-36, 12>
Use the given information to find the number of degrees of freedom, the critical values χ2L and χ2R, and the confidence interval estimate of σ. It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution. Nicotine in menthol cigarettes 99% confidence; n=23, s=0.28 mg.
df = (Type a whole number.)
χ2L = (Round to three decimal places as needed.)
χ2R = (Round to three decimal places as needed.)
The confidence interval estimate of σ is __ mg < σ < __ mg. (Round to two decimal places as needed.)
Answers
Answer:
χ²R = 8.643
χ²L = 42.796
0.20 < σ < 0.45
Step-by-step explanation:
Given :
Sample size, n = 23
The degree of freedom, df = n - 1 = 23 - 1 = 22
At α - level = 99%
For χ²R ; 1 - (1 - 0.99)/2= 0.995 ; df = 22 ; χ²R = 8.643
For χ²L ; (1 - 0.99)/2 = 0.005 ; df = 22 ; χ²L = 42.796
The confidence interval of σ ;
s * √[(n-1)/χ²L] < σ < s * √[(n-1)/χ²R)]
0.28 * √(22/42.796) < σ < 0.28 * √(22/8.643)
0.2008 < σ < 0.4467
0.20 < σ < 0.45
