Susan was carrying a pitcher that contained 2/3 of a gallon of lemonade to the table for lunch. She slipped and spilled 1/4 of the lemonade in the pitcher. What fraction of a gallon of lemonade did she spill?
Answer:
Susan spilled 1/6 of a gallon of lemonade.
Step-by-step explanation:
Since Susan was carrying a pitcher that contained 2/3 of a gallon of lemonade to the table for lunch, and she slipped and spilled 1/4 of the lemonade in the pitcher, to determine what fraction of a gallon of lemonade did she spill the following calculation must be performed:
2/3 = 0.6666
0.666666 x 1/4 = X
0.166666 = X
0.166666 = 1/6
Therefore, Susan spilled 1/6 of a gallon of lemonade.
A swimming team has 16 members. The coach wants to create teams of 4 swimmers to compete in the relay race. How many different teams of 4 can she make without repetition?
There is 1820 ways of teams of 4 can she make without repetition using combination formula.
What is combination?
Selections are another name for combinations. The choice of items from a predetermined group of items corresponds to combinations. We don't want to organise anything here. We are going to choose them. We use the notation nCr to indicate how many distinct r-selections or combinations there are among a set of n objects. A combination is distinct from an arrangement or a permutation. No matter how the objects are arranged, combinations are produced by choosing some or all of them.
Here There are 16 total swim team members and 4 swimmers that will be chosen for each relay team.
So, n=16 and r=4. Then
=> nCr = [tex]\frac{n!}{r!(n-r)!}[/tex]
=> 16C4 = [tex]\frac{16!}{4!(16-4)!}[/tex]
=> 16C4 = [tex]\frac{16!}{4!*12!}[/tex]
=> 16C4 = [tex]\frac{16*15*14*13}{4*3*2*1}[/tex]
=>16C4 = 4*5*7*13 = 1820
Hence there is 1820 ways of teams of 4 can she make without repetition.
To learn more about combination refer the below link
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Verify the identity:
2 sec^2 x − 2 sec^2 x sin^2 x − sin^2 x − cos^2 x = 1
[tex]\mathrm{Solving}\: \mathrm{prove\:2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)=1}\\steps \\2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)=1\\\mathrm{Manipulating\:left\:side}\\2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)\\=-1+2\cos ^2\left(x\right)\sec ^2\left(x\right)\\=1[/tex]Answer:
Step-by-step explanation:
Pls help this is timing me!!!!!
Answer:
D
Step-by-step explanation:
Please help me but no links
Answer:
I think you got to time it all togther and the answer would be 531.44m^3
Step-by-step explanation:
(5.2×7×14.6)mmm
(36.4×14.6)mmm
531.44m^3
Which situation can be modeled by the expression 4 divided 1/3
Answer:
4
Step-by-step explanation:
4/1x 3/1 =12/1=4
14. Which of these functions is not linear?
A) y=x^2-x
B) y=1-x
C) y=x/3
D) y=2/3x-2x
Answer:
A) y = x²- x
Step-by-step explanation:
A linear function will have y equal to x, without x being manipulated by a square root, exponent, etc.
y = x²- x has x being squared.
This will create a graph of a parabola, which is not linear.
So, since it is a quadratic instead of a line, answer choice A) y = x²- x is correct.
ASAP!! simplify x^-2 show work
Answer:
1/x^2
Step-by-step explanation:
exponent rule: a^-b = 1/a^b
x^-2 = 1/x^2
Answer:
[tex] \frac{1}{ {x}^{2} } [/tex]
Step-by-step explanation:
1) Remove parentheses.
[tex] {x}^{ - 2} [/tex]
2) Use negative power rule: x^-a = 1/x^a.
[tex] \frac{1}{ {x}^{ 2} } [/tex]
hence, the answer is 1/x^2.
Help me with questions 14 and 15! I will give brainliest!!
Answer:
14=9-11
15= 82.2%
Step-by-step explanation:
23/28=0.8214
Joe wants to place plants around each of four sides of a square yard. If he’s planned for each of the four sides to show six plants (including corner plants), how many plants will he need?
Answer:
21
Step-by-step explanation:
1 side = 6 plants (including one in the corner)
3 sides = 5 plants each
6+15 = 21
Carl buys seven 5-gallon jugs of water for the water cooler. How many liters of water did Carl buy? (1 gal= 3.785 liters)
Answer:
Carl buys 132.475 liters of water.
Step-by-step explanation:
Since Carl buys seven 5-gallon jugs of water multiply 7 by 5 to know how many gallons of water Carl bought in total.
7(5) = 35 Gallons
Now that you have the total amount of gallons of water Carl bought you have to convert 35 gallons to liters given that 1 gallon = 3.785 liters by multiplying 35 by 3.785.
35(3.785) = 132.475
So Carl bought 132.475 liters of water.
Though that is the answer based on what is given a gallon is actually equal to 3.78541 liters so the exact answer would be 132.489 liters of water.
Can you figure it out
plssssssssssssss
Find the value of the expression below when x = 27, y = - 4 , and z = 64 . 2 * root(3, x) - 5sqrt(x) + y ^ 2 answer
Answer:
-18Step-by-step explanation:
x = 27, y = - 4, z = 64Expression:
2∛x - 5√z + y² = 2∛27 - 5√64 + (-4)² = 2(3) - 5(8) + 16 = 6 - 40 + 16 = -18Can someone help me simplify and write in power form and show me step by step how to do it?
Answer:
8^2
Step-by-step explanation:
here's your solution
=> (8^7*8^4)8^9
=> in multiplication if base are same power added and in division if base same power minus
=> (8^11)/8^9
=> 8^2
hope it helps
A teepee in the shape of a cone has a
radius of 7 feet and a height equal to
its diameter. What is the volume of the
teepee? Use 3.14 for .
The volume of the given cone is 718.01 square feet. Therefore, option H is the correct answer.
What is the volume of a cone?The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter. The volume of a cone formula is 1/3 πr²h.
Given that, radius of a base of cone is 7 feet.
A height of a cone equal to its diameter = 7×2 = 14 feet
Here, volume of a cone = 1/3 ×3.14×7²×14
= 718.01 square feet
Therefore, option H is the correct answer.
To learn more about the volume of a cone visit:
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if 16c 1 gal then 1 1/4 gal __= c
Answer:
20 cups
Step-by-step explanation:
16 x 1.25 = 20
Answer:
11/4 c = 44 gal
I hope it's helps you
8% of $796.25 is how much?
8/100*796.25
=63.7%
Answer:63.7%
Answer: Hello, there! your Answer is below
63.7 would Be the correct answer
Step-by-step explanation: Below Is Info About How to Calculate Precentage UwU
how to calculate percentage of a number. Use the percentage formula: P% * X = Y
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
The posted speed limit is 45 miles per hour.
Choose all the metric measures that are faster than 45 miles
per hour.
A. 45 km per hour
B. 64.1 km per hour
C. 86.4 km per hour
D. 91 km per hour
E. 112.3 km per hour
what is x²=16?
2
3
4
8
Answer: 4
Step-by-step explanation:
4^2=16
Answer:
4
Step-by-step explanation:
When we square something we just multiply it by itself.
2 x 2 = 4 so not 2
3 x 3 = 9 so not 3 either
4 x 4 = 16 this one is correct!
8 x 8 = 64 not this one either
So the answer is 4 BOOM
Can you help me solve this it’s pretty easy but for you guys
Answer:
x - 81 = 321
adding 81 on both sides
x-81+81= 321+81
x= 402
Answer:
402
Step-by-step explanation:
81+321=402-321=81 n=402
What’s the correct answer for this question?
Answer:
(2, -3)
Step-by-step explanation:
IF YOU GIVE RIGHT ANSWER=BRAINLIEST GUYS PLZZZ HELP!!! LINKS WILL BE REPORTED!!!
Answer:
5 cm
Step-by-step explanation:
Volume of a cylinder = π*radius^2*height
675π = π * radius^2 * 27
radius^2 = 25
radius = 5 cm
Answer:
Step-by-step explanation:
V=pi x r^2 x h
r^2 = 675pi / (pi x 27) = 25
r = 5
a) 9/7
b) 9/-7
c) 7/9
d) -9/7
e) -9/-7
Answer:
a) 9/7
Step-by-step explanation:
[tex] \dfrac{x^2 + x - 20}{x^2 - x - 12} = [/tex]
[tex] = \dfrac{(x + 5)(x - 4)}{(x + 3)(x - 4)} [/tex]
[tex] = \dfrac{x + 5}{x + 3} [/tex]
x = 4
[tex] = \dfrac{4 + 5}{4 + 3} [/tex]
[tex] = \dfrac{9}{7} [/tex]
Consider the scatter plot shown complete the sentence the pattern of association between temperature and time is
Answer:
a
Step-by-step explanation:
What is the total area, in square centimeters, of the shaded sections of the trapezoid
below?
4.2 cm
7.2 cm
6.1 cm
8 cm
2
cm
Answer: A=
Answer:
A=34.77 cm^2
Step-by-step explanation:
a machine shop has a fixed cost of $2000 to produce new bolts. The cost of materials and labor to produce each individual bolt is $8.50. Which of the following functions models the average cost per bolt for the company to produce x bolts, where
x>1?
Answer:
(8.50x + 2000)/x and x>1
Step-by-step explanation:
Well, this may not be the exact answer, as it seems you have the choices unlisted--if they even exist at all. But, I'll make do with what I've provided, so
In the question, it says the collective cost for each individual bolt is $8.50, and that we can use the variable x to represent the number of bolts the company wishes to produce. So, this can be shown using 8.50x.
The fixed cost is set in stone, so no alterations need to be applied, and only cause the total to amount to a greater number. So, we end up with (8.50x + 2000)/x and x>1 is the rule for the values of x. Essentially, all that means is that the company will always produce more than one bolt.
Use the difference quotient of A(r)= πr2 to calculate the average rate of change during certain intervals.
The difference quotient of A(r) is:
StartFraction pi (r + h) squared minus pi r squared Over h EndFraction = StartFraction pi (r squared + 2 r h + h squared) minus pi r squared Over h EndFraction = StartFraction pi r squared + 2 pi r h + pi h squared minus pi r squared Over h EndFraction = 2 pi r + pi h
The average rate of change from the interval 2 to 3 inches is
π square inches per inch.
The average rate of change from the interval 2 to 2.5 is
π square inches per inch.
Answer:
5
4.5
Step-by-step explanation:
edge
The length of a rectangle is twice its width. The perimeter is eighty-four inches. Find the length and width. The length is inches. The width is inches.
Every unitary operator U : X → X is normal. b) A matrix is unitary if and only if it is invertible. c) If two matrices are unitarily equivalent, then they are also similar. d) The sum of self-adjoint operators is self-adjoint. e) The adjoint of a unitary operator is unitary. f) The adjoint of a normal operator is normal. g) If all eigenvalues of a linear operator are 1, then the operator must be unitary or orthogonal. h) If all eigenvalues of a normal operator are 1, then the operator is identity. i) A linear operator may preserve norm but not the inner product.
find the correct results.
remember the maths is exact .
1+4=5
2+5=12
3+6=21
5+8=...
9514 1404 393
Answer:
5 + 8 = 45
Step-by-step explanation:
We observe that the sequence of numbers on the left is arithmetic, with each value increasing by 1 from each expression to the next.
Similarly, we observe that the sequence on the right increases by an increasing amount from one number to the next. First differences are 7, 9, suggesting that each successive line in the table will differ by 2 more than the previous two lines did.
Following this pattern, we have ...
4 + 7 = 32
5 + 8 = 45
_____
Additional comment
Here, it seems, the symbol "+" in the expression "a+b" is intended as a stand-in for the function f(a, b). That is, we're given three expressions ...
f(1, 4) = 5
f(2, 5) = 12
f(3, 6) = 21
and asked to predict the value of f(5, 8).
f may be any of a variety of functions. A couple of them are ...
f(x, y) = x^2 +4y -12
f(x, y) = y^2 -2x -9
or ...
f(n, n+3) = n(n+4), which could also be written f(x, y) = x(y+1)
