Using proportions to relate the amount of cups needed, it is found that she should use:
a) 0.25 cups of cereal.
b) 0.75 cups of water.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, for 4 servings, 3 cups of water and 1 cup of cereal is needed. One serving is one-fourth of the amount, hence:
Item a:
1/4 x 1 = 0.25 cups of cereal.
Item b:
1/4 x 3 = 3/4 = 0.75 cups of water.
More can be learned about proportions at https://brainly.com/question/24372153
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Answer:
what is your question??????
Step-by-step explanation:
What is the value of g?
Answer:
90
Step-by-step explanation:
I'm not sure about the answer
Malcolm draws this map of his neighborhood . Help please and thank you!!!!!
Answer:
Alden, perpendicular, Elm, parallel
Step-by-step explanation:
Write the equation of a parabola with focus at (1,-4) and a directrix at X=2
Answer:
The equation of a parabola is
[tex]x = \frac{1}{4(f - h)} (y - k) ^{2} + h[/tex]
Step-by-step explanation:
(h,k) is the vertex and (f,k) is the focus.
Thus, f = 1, k = −4.
The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.
Solving the system, we get h = 3/2, k = -4, f = 1.
The standard form is:
[tex]x = - \frac{y ^{2} }{2} - 4y - \frac{13}{2} [/tex]
The general form is:
[tex]2x + {y}^{2} + 8y + 13 = 0[/tex]
The vertex form is:
[tex]x = - \frac{(y + 4) ^{2} }{2} + \frac{3}{2} [/tex]
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.
The focal length is the distance between the focus and the vertex: 1/2.
The focal parameter is the distance between the focus and the directrix: 1.
The latus rectum is parallel to the directrix and passes through the focus: x = 1.
The length of the latus rectum is four times the distance between the vertex and the focus: 2.
The eccentricity of a parabola is always 1.
The x-intercepts can be found by setting y = 0 in the equation and solving for x.
x-intercept:
[tex]( - \frac{13}{2} \: ,0)[/tex]
The y-intercepts can be found by setting x = 0 in the equation and solving for y.
y-intercepts:
[tex](0, - 4 - \sqrt{3)} [/tex]
[tex](0, - 4 + \sqrt{3)} [/tex]
Our school’s girls volleyball team has 14 players, including a set of
3 triplets: Alicia, Amanda, and Anna. In how many ways can we
choose 6 starters if at most one of the triplets is in the starting lineup? There can't be 2 or more triplets and there can be none.
Answer:
[tex]1,\!848[/tex].
Step-by-step explanation:
There are two disjoint sets of ways to choose a lineup as required:
Include none of Alicia, Amanda, or Anna, orInclude exactly one of Alicia, Amanda, and Anna.Assume that none of Alicia, Amanda, or Anna is to be selected. This lineup of [tex]6[/tex] would then need to be selected from a set of [tex]14 - 3 = 11[/tex] players (which excludes Alicia, Amanda, and Anna.)
The number of ways of selecting (without order) [tex]6[/tex] items out of a set of [tex]11[/tex] (distinct) items is equal to the combination:
[tex]\begin{aligned}\begin{pmatrix}11 \\ 6\end{pmatrix} &= \frac{11!}{(6!)\, (11 - 6)!} \\ &= \frac{11!}{6! \times 5!}\end{aligned}[/tex].
Assume that Alicia is selected, but neither Amanda nor Anna is selected. The other [tex]6 - 1 = 5[/tex] players in this lineup would then need to be selected from a set of [tex]14 - 1 - 2 = 11[/tex] players. (This set of [tex]11[/tex] excludes Alicia, Amanda, and Anna.)
The number of ways to select [tex]5[/tex] items from a set of [tex]11[/tex] items is:
[tex]\begin{aligned}\begin{pmatrix}11 \\ 5\end{pmatrix} &= \frac{11!}{(5!)\, (11 - 5)!} \\ &= \frac{11!}{5! \times 6!} \\ &= \frac{11!}{6! \times 5!}\end{aligned}[/tex].
Similarly, there would be another set of [tex](11!) / (6! \times 5!)[/tex] distinct ways to select the lineup if Amanda is selected, but neither Alicia nor Anna is.
Likewise, the number of ways to select the lineup with Anna but neither Amanda nor Alicia would also be [tex](11!) / (6! \times 5!)[/tex].
These sets of configurations for the lineup are pairwise disjoint from one another. Thus, the total number of ways to select this lineup would be:
[tex]\begin{aligned}& \begin{pmatrix}11 \\ 6 \end{pmatrix} + 3 \times \begin{pmatrix}11 \\ 5 \end{pmatrix} \\ =\; & \frac{11!}{6! \times 5!} + 3 \times \frac{11!}{6! \times 5!} \\ =\; & \frac{4 \times 11!}{6! \times 5!} \\ =\; & \frac{4 \times 11 \times 10 \times 9 \times 8 \times 7}{5 \times 4 \times 3 \times 2} \\ =\; & \frac{11 \times 10 \times 9 \times 8 \times 7}{5 \times 3 \times 2} \\ =\; & 1,\!848\end{aligned}[/tex].
Over the interval [0,2pi), what are the solutions to cos(2x) = cos(x)? check all that apply
[tex] \cos(2x) = \cos(x) [/tex]
Solution (1)
[tex]2x = x + 2k\pi[/tex]
[tex]2x - x = 2k\pi[/tex]
[tex]x = 2k\pi[/tex]
for k=0 / for k=1 / for k=-1
x=0 / x=2π / x=-2π
acc / acc / rej
solution (2)
[tex]2x = - x + 2k\pi[/tex]
[tex]2x + x = 2k\pi[/tex]
[tex]3x = 2k\pi[/tex]
[tex]x = \frac{2k\pi}{3} [/tex]
for k=0 / for k=1 / for k=-1
x=0 / x=2π/3 / x=-2π/3
acc / acc / rej
Note that i'm trying values of K which make the answer belong to our interval;
So our solution which i will represent as a set is;
S € {0,2π/3,2π}
Aaron has $25 to spend at the carnival. Admission is $4.00 and the ride tickets are $1.25 each. What is the maximum number of ride tickets that Aaron can buy? Write and solve the inequality.
Answer:
25 dollars divided by 1.25 dollars gives a total of 20 tickets Aaron can buy
the graph of f x shown below resembles the graph of g =x2 but it has been stretched somewhat and shifted which of the following could be the equation of f
The graph of the function g(x) is a quadratic equation
The possible equation of the function f(x) is f(x) = 2(x - 3)^2 + 3
How to determine the possible equation of f(x)?From the question, we have:
g(x) = x^2 --- the equation of the graph
The function f(x) is in the first quadrant.
This means that the function g(x) is shifted right and up.
This is represented as:
f(x) = (x - h)^2 + k
When stretched, the function becomes
f(x) = a(x - h)^2 + k
Where:
a > 0
From the list of given options;
The equation that has the form f(x) = a(x - h)^2 + k is
f(x) = 2(x - 3)^2 + 3
Hence, the possible equation of the function f(x) is f(x) = 2(x - 3)^2 + 3
Read more about function transformation at:
https://brainly.com/question/17586310
How do you check the apparent solution of the following systems of equations: x+3y=8, x-4y=-6
Answer:
x=2
y=2
Step-by-step explanation:
x+3y=8
- x-4y=-6
7y=14
y=14/7
y=2
x+3(2)=8
x+6=8
x=8-6
x=2
y=2
x=2
What is the volume of a sphere with a diameter of 50 cm
since we know the diameter is 50, then its radius is half that or 25.
[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=25 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (25)^3}{3}\implies V=\cfrac{62500\pi }{3} \\\\\\ V\approx 65449.85~cm^3 \end{array}[/tex]
In how many ways can first, second, and third prizes be awarded in a contest with 210 contestants?
Answer:
Not entirely sure about this because it was grabbed from someone else
There are 210 ways to win 1st place
There are 209 ways to win 2nd place
There are 208 ways to win 3rd place
Every time an award is won, a spot if taken, therefore one person is eliminated from possibly taking that spot.
Hope that makes sense :)
The total number of ways of contestants can win first, second, and third prizes will be 9,129,120.
What are permutation and combination?A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.
The number of contestants is 210.
The number of ways of contestants who won the first prize will be given as,
⇒ ²¹⁰C₁
⇒ 210
The number of ways of contestants who won the second prize will be given as,
⇒ ²⁰⁹C₁
⇒ 209
The number of ways of contestants who won the third prize will be given as,
⇒ ²⁰⁸C₁
⇒ 208
Then the total number of ways of contestants can win first, second, and third prizes will be
⇒ 210 x 209 x 208
⇒ 9,129,120
The total number of ways of contestants can win first, second, and third prizes will be 9,129,120.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
Solve the following equation:
3 x seven tenths
=================================================
Here, we have to multiply fractions.
How to Multiply Fractions?
Here are the steps:-
Turn any whole numbers into fractions (example:- 3 = 3/1)Multiply the numerator of the first fraction times the numerator of the 2nd fraction; same with the denominator.Simplify if necessary.So let's do it.
Step 1:-
[tex]\longmapsto\sf{3=\displaystyle\frac{3}{1}[/tex]
Step 2:-
[tex]\longmapsto\sf{\displaystyle\frac{3}{1} *\frac{7}{10}}[/tex]
[tex]\longmapsto\sf{\displaystyle\frac{21}{10} }[/tex]
We can't simplify this fraction, but there's something else we can do:-
Convert this improper fraction into a mixed numberHere's the answer:-
[tex]\boxed{\sf{2\displaystyle\frac{1}{10} }}[/tex]
=====================================================
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
PLEASE HELP I WILL GIVE BRAINLIEST
Step-by-step explanation:
37×2=74
360-74 = 286
286 ÷ 2=143
Of course, if AD and BC , and also BA and CD are even.
Determine whether each of these sets is countable or un- countable. For those that are countably infinite, exhibit a one-to-one correspondence between the set of positive integers and that set. a. integers not divisible by 3 b. integers divisible by 5 but not by 7 c. the real numbers with decimal representations con- sisting of all 1s d. the real numbers with decimal representations of all 1s or 9s
Answer:
i do not understand the questions
Step-by-step explanation:
A 20-ounce bottle of lotion costs $3.95. How much does each ounce cost?\
Answer:
$0.20
Step-by-step explanation:
3.95/20 = 0.1975
0.1975 would round up to 0.20
Answer:
$0.1975
Step-by-step explanation:
Do $3.95 divided by 20 so you can find the proportion of 1 ounce
in the lab, Kareem has two solutions that contain alcohol and is mixing them with each other. Solution A is 2% alcohol and Solution B is 7% alcohol. He uses 1200 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 4% alcohol solution?
Answer:
800ml
Step-by-step explanation:
solution A= 2% alcohol
solution B=7% alcohol
1200ml=1.2L
1200ml=1200cm^3
X= solution B
solution A + solution B=(1200+x)cm^3
% alcohol= amount of alcohol/total solution(AorB)×100
☆in 1200ml of solution A there's
0.02x1200
2x12
=24ml of alcohol (in 1200ml of solution A)
0.07x X
=0.07Xml of alcohol (in some ml of solution B)
(24+0.07X)ml of alcohol in = solution A and solution B
solution A + solution B= 1200+X
0.04 (1200+X)=24+0.07X
48+0.04X=24+0.07X
48-24=0.07X-0.04X
24=0.03X
X=800ml
can some help me figure this out
Answer:
e
Step-by-step explanation:
e
Which number line shows the solution set for l s/2 +4 l <2
Step-by-step explanation:
Hopefully this was helpful!
4sin(-x)cos(-x)= -2sin2x
true or false
[tex]\text{L.H.S}\\\\=4\sin(-x) \cos(-x)\\\\=-4\sin x \cos x\\\\=-2 \cdot 2 \sin x \cos x\\\\=-2 \sin 2x\\\\=\text{R.H.S}\\\\\text{The identity is true.}[/tex]
What is the slope of the line with equation y-3=-1/2 (x-2)?
Hello!
This equation is written in Point-Slope Form (y-y₁=m(x-x₁)
Where
y₁=y-coordinate of the point
m=slope
x₁=x-coordinate of the point
In this case, the slope is
[tex]\boxed{\boxed{\bold{\frac{1}{2}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Answer:
C) 1/2
Step-by-step explanation:
woof woof
Moose left a $7.50 tip for his waitress on a $50 restaurant bill. What percent of his bill did he leave as a tip?
Answer:
he left 15 % of his bill as a tip
Step-by-step explanation:
7.5/50 x 100
0.15 x 100
15
Percentage
7.5/50×1000.150(100)15.0%A library had 6422 music CDs stored on 26 shelves.If the same number of CDs were stored on each shelf how many CDs were stored on each shelf
one shell stores CDs:6422/26
246
Which of the following shows the correct solution steps and solution to 7x- 4 = -182 7x - 4 = -18 71 - 4+4= -18 + 4 72 = -14 A. 72 -14 7 7 = -2 70 – 4= -18 72 - 4+4= -18 + 4 70 = -14 7x - 14 -7 -7 B. = 2
Answer/Step-by-step explanation:
7x- 4 = -182
Step:
Add 4 to both sides
7x - 4 + 4 = -182 + 4
Simplify
7x = -178
Divide both sides by 7
7x/7 = -178/7
Simplify
x = -178/7
Decimal form = -25.4285714286
~lenvy~
Answer:
x = -178/7
Step-by-step explanation:
Given us that:
Which of the following shows the correct solution steps and solution to 7x- 4 = -182
Thus, the steps are:
Adding 4 to both sides
7x - 4 = -182
+4 +4
------------------------
7x = -178
Divide both sides by 7
7x/7 = -178/x
Simplify
x = -178/7
Solution - x = -178/7
[RevyBreeze]
PLEASE HURRY AND HELP ME WITH THIS !! ILL GIVE BRAINLIEST
Answer:
C. Reflection, translation
Step-by-step explanation:
If we compare Figure A to Figure B, you might notice that they mirror each other. This means that Figure A was reflected. Now, if we take a look at Figure B and Figure C, you should see that both figures are the exact same shape, size, and facing the same direction. The only thing that changed was the location. So, this means that Figure B was translated.
I hope this helps! Have a lovely day!! :)
Gotten two different answers…is it 18 or 55
Answer:
18.2%
Step-by-step explanation:
For this, you want to take the amount of 70 year old men that will die in the next 10 years and divide it by the total amount of men.
The table states "number out of 1,000 men" so this means there are 1000 total men in this study.
So:
182/1000 = 0.182 = 18.2%
What is 65% of (102/2)
Answer:
33.15
Step-by-step explanation:
102/2 = 51
65% of 51 = 33.15
Answer:
65% of (102/2) is 33.15
Step-by-step explanation:
I used a calculator and got this answer, it is correct. Have a nice day :)
if the length of a rectangle is 3 times of its breadth and perimeter is 96cm find the length and breadth of rectangle
what decimal part of one dollar is two dimes
Answer: Tenths place.
Step-by-step explanation:
0.20
The 2 is part of the tenths place.
Answer:
$0.20
Step-by-step explanation:
1 penny = $0.01
1 nickel = $0.05
1 dime = $0.10
1 quarter = $0.25
Two dimes = $0.20
Or 1/4 of a dollar
Or 0.2 because you don't need to add a 0 at the end of .2 or the $ sign.
Please help this is due
[tex]\text{Area of equilateral triangle ABC}\\ \\=\dfrac{\sqrt 3}{4} BC^2\\\\=\dfrac{\sqrt 3}4 \cdot 12^2\\\\=\dfrac{144\sqrt 3}{4}\\\\=36\sqrt 3[/tex]
Solve (images attached) can u check if correct
Answer:
Yes it's correct
Step-by-step explanation:
90 + 40 = 130
180 - 130 = 50