A cook has 32 ounces of a 5% apple cider vinegar that she wants to dilute to a 3% apple cider vinegar . How much water does she need to add to obtain that concentration?
The cook needs to add 21.3 ounces of water to obtain the concentration
The cook has 32 ounces of 5% apple cider vinegar.
The total apple cider vinegar the cook has is:
[tex]Total = 32 \times 5\%[/tex]
[tex]Total = 1.6[/tex]
Let the quantity of water be x.
To dilute 3% apple cider vinegar, the cook would make use of the following equation
[tex]Total = 3\%\times (Apple\ Cider\ Vinegar + Water)[/tex]
So, we have:
[tex]Total = 3\%\times (32 + x)[/tex]
Substitute 1.6 for total
[tex]1.6= 3\%\times (32 + x)[/tex]
Divide both sides by 3%
[tex]53.3=32 + x[/tex]
Subtract 32 from both sides
[tex]53.3-32= x[/tex]
[tex]21.3= x[/tex]
Rewrite as:
[tex]x = 21.3[/tex]
Hence, the cook needs to add 21.3 ounces of water
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The graph below represents data that was collected by students on the number of social media posts they made the previous day. What's the greatest number of posts a student made?
From the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.
Given the graph given that represents the data that was collected by students shows the following:
The lowest number of posts a student made is 0 (3 students made 0 posts).The greatest number of posts a student made is 10 (2 students made the greatest number of posts).The number of posts made by most students is 7 (6 students made 7 posts).In summary, from the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.
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2.4(3q+6.1)
HELP MEE!!!
Answer:
7.2q + 14.64
Step-by-step explanation:
Distribute 2.4 to what is inside of the parentheses and you will find this answer.
I hope this helps!!
Answer:
7.2q + 14.64
Step-by-step explanation:
how much simple interest will be earned in 3 years on $2500 in an account that pays 1.5%
Answer
Step-by-step explanation:
Answer:
$112.50
Step-by-step explanation:
1.5% = 0.015
$2500 × 0.015 × 3 = $112.50
Need help please asap
Answer:
A=√26
-
2
Step-by-step explanation:
thank me later bye
The probability of randomly meeting someone with a phone number that ends in 3 is
Answer:
0,1,2,3,4,5,6,7,8,9
Step-by-step explanation:
: probability of meeting someone with a phone number that ends with 3 .....
= 3/total amount of no ×100
3÷10= 0.3
: 0.3×100= 30% probability.
Assuming a phone number is 10 digits long and the last digit can be any of the 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9) with equal probability, the probability of randomly meeting someone with a phone number that ends in 3 is 1/10, or 0.1.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
If the phone number is 10 digits long, there are 10 possible digits that could be at the end. Since only one of those digits is a 3,
the probability of randomly selecting a phone number that ends in 3 is:
1/10 = 0.1 or 10%
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Can someone help I will mark u brilliant
Answer:
A probability cannot be more than 100%
Emmett bought a pair of shoes on sale at 40% off from an original price of $138. Find a) the amount of discount and b) the final sale price
Answer: (a) discount is $55.20 (b) Emmett paid $82.80
Step-by-step explanation:
10% = $13.8
13.8*4 = 55.2
40% = $55.2
————————
138 - 55.2 = $82.8
Bye
What is the sign of the product (-5)(-3)(-8)(-6)? (5 points) Positive, because the products (-5)(-3) and (-8)(-6) are negative, and the product of two negative numbers is positive Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive Negative, because the products (-5)(-3) and (-8)(-6) are negative, and the product of two negative numbers is negative Negative, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is negative
Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive
=======================================================
Explanation:
Recall we have these rules
positive times positive = positivepositive times negative = negativenegative times negative = positiveHere is one example for each rule
8*7 = 565*(-9) = -45-2*(-4) = 8So based on that, we know that (-5)(-3) is positive. The two negatives cancel each other out so to speak. The same goes for (-8)(-6). Then multiplying any two positive numbers produces another positive outcome.
What is -27/8×7/10
Because odbeoqhqbebebsns
The answer to this problem is going to be -2.3625
Jada and Han order two identical pizza’s.jada ate 1/2 of hers and han ate 2/3 of his. How much pizza did they eat altogether
The amount of pizza that they eat altogether will be 7/6 pizza out of 2 pizzas.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas. This approach is used to answer the problem correctly and completely.
Jada and Han request two indistinguishable pizzas. Jada ate 1/2 of hers and Han ate 2/3 of his.
The amount of pizza that they eat altogether will be given as,
⇒ 2/3 + 1/2
Add the fraction, then we have
⇒ 2/3 + 1/2
⇒ (4 + 3) / 6
⇒ 7 / 6
The amount of pizza that they eat by and large will be 7/6 pizza out of 2 pizzas.
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Which property is illustrated by the equation?
(2x + 1) + 3y = 2x + (1 + 3y)
Answers: Commutative Property of Addition, Identity Property of Addition, Associative Property of Addition, or Distributive Property of Addition.
Answer:
Associative Property of Addition
Step-by-step explanation:
Associative Property of Addition - if the grouping changes, the answer will be the same - Correct (2 + 3) + 5 = 2 + (3 + 5)
Identity Property of Addition - anything added by 0 will equal itself (5 + 0 = 0, 2.3 + 0 = 2.3, etc.)
Commutative Property of Addition - if the order changes, the answer will be the same (2 + 3 = 5 and 3 + 2 = 5 also)
Distributive Property of Addition - allows you to "distribute" a number (2(3 + 5) = 2 * 3 + 2 * 5 = 6 + 10 = 16)
A tennis player makes a successful first serve 49% of the time. If she serves 6 times, what is the probability that she gets exactly 3 first serves in? Assume that each serve is independent of the others.
Answer: the naswer is 0.154
Step-by-step explanation:
A single die is rolled twice. The 36 equally-likely outcomes are shown to the right.
Find the probability of getting two numbers whose sum exceeds 20.
Answer:
If the die is 6 sided then the likely is none (0)
Step-by-step explanation:
Hope this helps!:)
Two motorcyclists, who start their journeys at the same instance from two different cities,
travel with uniform speeds of 40 km/h and 50 km/h respectively towards each other. If they meet
each other after 1.5 hours after commencing their journeys, find the distance between the two
cities.
QUICK
Answer:
54
Step-by-step explanation:
You decide to reduce the amount you spend eating out by $150 a month and invest the total saved at
the end of each year in your retirement account. How much will the account be worth at 5% in 15
years? (Use Table 13.1.) (Do not round intermediate calculations. Round your answer to the
nearest cent.)
The type of savings is the saving of uniform amount with interest applied to the sum of the amount in the account.
The amount the account is worth after 15 years is approximately $38,841.1Reasons:
The amount saved per month = $150
Amount saved per year, A = 12 × $150 = $1,800
The interest rate on the account, i = 5%
The amount, F, in the account after 15 years is given as follows;
The uniform series compound amount factor formula is presented as follows;
[tex]\displaystyle F = \mathbf{\frac{A \cdot \left[ \left(1 + i \right)^n - 1 \right]}{i}}[/tex]
Therefore;
[tex]\displaystyle F = \frac{1,800 \times \left[ \left(1 + 0.05 \right)^{15} - 1 \right]}{0.05} \approx \mathbf{38,841.4}[/tex]
The amount the account is worth after 15 years to the nearest cent is approximately $38,841.4.
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A right triangle has side lengths of 5 inches, 12 inches, and 13 inches. The triangle will be rotated 180° about a point.
What is the length of the longest side of the triangle after the rotation? Enter the answer in the box?
13in will be the longest like before .
Refer to the attachment for more observation.
The length of the longest side of the triangle after the rotation is 13 inches.
What is Right Angle?It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.
Ancient geometry defined a right angle as the intersection of two straight, or right, lines in relation to dimensional axes.
Given:
A right triangle has side lengths of 5 inches, 12 inches, and 13 inches.
As, we know that the longest side is the Hypotenuse which is 13 inches and the base is 12 inches and perpendicular is 5 inches.
After 180° rotation only the base and perpendicular change the longest side still remain the same.
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A cylindrical barrel has a radius of 2.1 ft and a height of 14 ft. Doubling which dimension(s) will double the volume of the barrel?
Answer:
Step-by-step explanation:
r = 2.1 feet
h = 14 feet
V = pi r^2 h
V = 3.14 * 2.1^2 * 14
V = 193.85
Let h = 28 feet
V = pi * r^2 * h
V = 3.14 * 3.2^2 * 28
V = 387.72
If you divide 387.72 by 2 you get 193.86
The difference in the hundreds place comes about because of the rounding that took place.
The answer to your question is you must double the height,
Solve the equation :
In(5-x) = In5 - Inx,
giving your answers correct to 3 significant figures.
[tex]\ln(5-x) = \ln 5 - \ln x\\\\\implies \ln(5-x) + \ln x = \ln 5\\\\\implies \ln[(5-x)x] =\ln 5\\\\\implies \ln(5x -x^2) = \ln 5\\\\\implies 5x -x^2 = 5\\\\\implies x^2 -5x +5 =0\\\\\implies x = \dfrac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 1 \cdot 5}}{2(1)}\\\\\implies x = \dfrac{5 \pm \sqrt{5}}{2}\\\\\text{Hence} ~x = \dfrac 12\left(5 + \sqrt 5\right)=3.62~~ \text{and}~~ x =\dfrac 12 \left(5-\sqrt 5\right) =1.38[/tex]
Answer:
x1 = 3.618, x2 = 1.382
Step-by-step explanation:
ln(5-x) = ln5 - lnx
ln(5-x) + ln(x) = ln5
ln(5x-x^2) = ln5
5x-x^2=5
0=x^2-5x+5
x = -(-5)±√((-5)²-4(1)(5)) / 2(1)
x = 5±√(25-20) / 2
x = 5±√5 / 2
x1 = 3.618, x2 = 1.382
Solve the system of equations.
y= -6x +9
y= -3x +3
a (3,-2)
b. (-2,3)
C. (2,3)
d. No solution
Answer:
The answer is supposed to be (2,-3), but for some reason I don't see it as one of the choices.
(Please don't get mad or report this answer, the work is below, so you may see for yourself.)
Step-by-step explanation:
Since y equals both -6x + 9 and -3x + 3, we will simply write them into one equation:
-6x + 9 = -3x + 3
Next we will solve for x by isolating it:
So, first subtract 3 on both sides to get -6x + 6 = -3x. Next add 6x on both sides to get 6 = 3x. Then finally divide by 3 on both sides to get 2 = x or you can flip it to be x = 2.
Now that we know what x is, we can plug it back into one of the original equations. In this case we'll plug it into y = -3x + 3:
y = -3(2) + 3
-3 × 2 = -6 and -6 + 3 = -3
So: y = -3
Now we can plug each into an ordered pair (x,y), and your answer is (2,-3).
As always, don't forget to check your work (It's correct btw, I already checked) and I hope this helps you :)
Answer:
x=2, y=-3. (2, -3).
Step-by-step explanation:
y=-6x+9
y=-3x+3
-----------
-6x+9=-3x+3
-6x-(-3x)+9=3
-6x+3x=3-9
-3x=-6
3x=6
x=6/3
x=2
y=-6(2)+9
y=-12+9=-3
Find the equation of the line.
Use exact numbers.
y= x+
Answer:
The equation of this line is y = -3x + 7
Step-by-step explanation:
Remember that when writing an equation for a graphed linear line, we must write it in slope intercept form (y=mx+b). The m represents the slope, and the b represents the y-intercept.
(The slope determines the direction in which the line goes, and is written as rise/run.)
In this case the slope is going to be negative, since the line is going downwards to the right. Additionally the slope of this line is -3/1 or just -3.
(The y-intercept is the point in which the line crosses the y-axis.)
In this case, since the line crosses the y-axis at positive 7, the y-intercept will be 7.
So all together we have y = -3x + 7.
Hope this helps you :)
Help math if f(x) =
PLEASEEEEE MY LIFE DEPENDS ON THIS
I will send good fortune your way if you answer correctly (and points)
How do you solve for x?
[tex] log_{6}(36) = 5x + 6[/tex]
[tex]\huge \rm༆ Answer ༄[/tex]
The value of x is ~
[tex] -0.8 [/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve for x ~
[tex] \sf \: log_{6}(36) = 5x + 6[/tex][tex] 2 = 5x + 6[/tex][tex]5x = 2 - 6[/tex][tex]x = - 4 \div 5[/tex][tex]x = - 0.8[/tex]I hope it helped ~
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
The value of x in the given equation is [tex]-\frac{4}{5}[/tex]
From the question,
We are to solve the given equation
The given equation is
[tex]log_{6}(36) = 5x +6[/tex]
This becomes
[tex]log_{6}(6^{2} ) = 5x +6[/tex]
From one of the laws of logarithms, we have that
[tex]log_{x}(x^{2} ) = 2log_{x}(x)[/tex]
and
[tex]log_{x}(x) = 1[/tex]
∴ [tex]log_{6}(6^{2} ) = 5x +6[/tex] becomes
[tex]2log_{6}(6) = 5x +6[/tex]
and
[tex]2(1)= 5x +6[/tex]
[tex]2 = 5x +6[/tex]
Now, subtract 6 from both sides
[tex]2-6 = 5x +6-6[/tex]
[tex]-4 = 5x[/tex]
∴ [tex]x = -\frac{4}{5}[/tex]
Hence, the value of x in the given equation is [tex]-\frac{4}{5}[/tex]
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A box contains 7 green marbles, 10 blue marbles, and 5 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that two of the marbles selected are green and the other marble is red.
Answer:
5/253
Step-by-step explanation:
The first green is 7/23, the second is 6/22 and the red is 5/21. Multiply them together for 5/253.
Write the missing numbers to find 154÷11
Answer:
14
Step-by-step explanation:
154/11 = 14
(✿◡‿◡) HAPPY HOLIDAYS!!! <3
factor the polynomial f(x) = X^3+5x^2+7X+3
Answer:
Step-by-step explanation:
Third level polynomial, so three factors
Only whole numbers, so only whole number x⁰ factors
whole number factors of 3 are 1,1,3 or 1,-1,-3 or -1,-1,3
let's try (x + 3) as a factor
x² + 2x + 1
x + 3 | x³ + 5x² + 7x + 3
- x³ + 3x²
2x² + 7x
- 2x² + 6x
x + 3
- x + 3
0
so (x + 3) is a factor and x² + 2x + 1 factors to (x + 1)²
x³ + 5x² + 7x + 3 = (x + 3)(x + 1)(x + 1)
i need help with this question
Answer:
check online for more information
consider equation of circle x2-2x+y2-4y-4=0,if line 2x-y+a=0 is its diameter then find value of a
Answer:
Step-by-step explanation:
x² - 2x + y² - 4y - 4 = 0
x² - 2x + y² - 4y = 4
complete the squares
(x² - 2x + x₀) + (y² - 4y + y₀) = 4
the unknown number will be the square of half of the x¹ coefficient
(x² - 2x + 1) + (y² - 4y + 4) = 4 + 1 + 4
(x - 1)² + (y - 2)² = 9
This tells us that the circle is centered on (1, 2)
Which is also a point on the diameter
2x - y + a = 0
a = y - 2x
a = 2 - 2(1)
a = 0
What is the correct factorization of x^2 - 2x - 15?
HURRRYYYY PLS
A. 4
B. 5
C.8
D.12
Answer:
option b
Step-by-step explanation:
[tex] {x}^{2} - 2x - 15[/tex]
[tex] {x}^{2} - 5x + 3x - 15 = 0[/tex]
[tex] x(x - 5) + 3(x - 5) = 0[/tex]
[tex](x - 5)(x + 3) = 0[/tex]
x = -3 (Not possible)
x = 5
So, x = 5
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If you and I meet halfway between the fountain and the restrooms what are the coordinates of our meeting place?
If my cat and your dog meet halfway between the ball field and the swings what are the coordinates of their meeting place?
Now to the nearest yard how far are you and I to our pets after arriving to our meeting place?
Answer:
(0.5,-0.5)(0.5,0.5)2 yards