Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answers
Answer: Sandy.
Step-by-step explanation:
Elaine has 16 tablespoons of lemonade, and uses 2 per glass.
then she can make 16/2 = 8 glasses of lemonade.
Sandy has 18 tablespoons of lemonade, and she uses 3 per glass,
then she can make 18/3 = 6 glasses of lemonade.
Then Sandy can make less glasses of lemonade than Elaine, this means that Sandy runs out of mixt first.
Related Questions
The perpendicular bisector of chord AB is y=-2x+8, and the perpendicular bisector of chord BC is y= 3x-2. Recall the properties of chords. How can these equations be used to find the center of the circle that represents the whole plate
Answers
Answer:
We equate the two expressions since they both pass through the center of the circle.
The coordinate of the center of the circle is (2,4)
Step-by-step explanation:
From circle theorem, we know that the perpendicular bisector of a chord passes through the center of the circle.
Since both equations would pass through the center of the circle, we equate them.
So, -2x+8 = 3x-2
Solving for x, we have
3x + 2x = 8 + 2
5x = 10
x = 10/5
x = 2
Substituting x = 2 into any of the equations, we find the y- coordinate of the center of the circle.
y = -2x + 8 = -2(2) + 8 = -4 + 8 = 4
So, the coordinate of the center of the circle is (2,4)
Personal Answer:
The perpendicular bisector of a chord passes through the center of the circle/plate, meaning that both expressions can contribute to the finding the center. By solving for x and y, one can find the coordinates of the center of the circle.
Plato Sample Answer:
Because the perpendicular bisector of any chord of a circle passes though the center of the circle, these two perpendicular bisectors intersect at that point. You can set up a system of equations and solve to find the coordinates of the center.
I hope this helps!
If the probability of rain is 0.75, the probability of fog is 0.25, and the probability of rain and fog is 0.25, what is the probability of rain or fog?
Answers
Answer:
[tex]P(A \cup B) = 0.75[/tex]
Step-by-step explanation:
There are two scenarios:
A - Rain
B - Fog.
The probability of rain or fog is determined by the Addition Rule, given that A and B are not mutually excluyent:
[tex]P(A\cup B) = P(A) + P(B) - P(A\cap B)[/tex]
[tex]P (A\cup B) = 0.75 + 0.25 - 0.25[/tex]
[tex]P(A \cup B) = 0.75[/tex]
A farmer picks 242 apples on monday and 118 apples on tuesday on wednesday she sells 109 of the apples at the market. Which equation can be used to find a, the number of apples the farmer has left?
Answers
Answer:
Step-by-step explanation:
The apples picked on Monday and Tuesday = 242 + 118 = 360
Apples sold on Wednesday = 360 - 109 = 521
Number of apples left = 251
Equation used: (242 + 118) - 109
Anthony is a high school basketball player. How many points would Anthony score in a game if he made 8 three point shots and 2 two point shots ? How many points would Anthony score in a game if he made x three point shots and y two point shots?
Answers
Answer:
Step-by-step explanation:
x three point shots: 8*3=24
x two point shots: 2*2=4
The point would Anthony score is : 24+4=28
I hope it'll help you much
Thank you for asking
ACT scores are normally distributed and from 2015 to 2017, the mean was 20.9 with a standard deviation of 5.6. A perfect score is 36. What percentage of the testers scored a perfect score?
Question 4 options:
0.46%
0.35%
99.65%
99.64%
Answers
Using the normal distribution, it is found that 0.35% of the testers scored a perfect score.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 20.9, \sigma = 5.6[/tex]
The proportion of scores above 36(perfect scores) is given by one subtracted by the p-value of Z when X = 36, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{36 - 20.9}{5.6}[/tex]
Z = 2.7
Z = 2.7 has a p-value of 0.9965.
1 - 0.9965 = 0.0035 = 0.35.%.
Hence, 0.35% of the testers scored a perfect score.
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what is the equation of the circle with center (5,-4) and containing the points (5,-2)
Answers
Answer:
The equation of a circle is [tex](x-5)^2+(y+4)^2=4[/tex] .
Step-by-step explanation:
-The equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] (where center is [tex](h,k)[/tex], the point [tex](x_{1},y_{1})[/tex] and the radius known as [tex]r[/tex]).
-Use the center (5,-4) and the point (5,-2) for the equation:
[tex](5-5)^2+(-2+4)^2=r^2[/tex]
-Solve the equation:
[tex](5-5)^2+(-2+4)^2=r^2[/tex]
[tex]0 + (-2)^2=r^2[/tex]
[tex]4 = r^2[/tex]
[tex]\sqrt{4} = \sqrt{r^2}[/tex]
[tex]2 = r[/tex]
-After you found the radius, use the center (5, -4) and radius 2 to get the equation of a circle:
[tex](x-5)^2+(y+4)^2=2^2[/tex]
-Then, after you have the equation, the radius needs to simplified by the exponent:
[tex](x-5)^2+(y+4)^2=4[/tex]
Which set of measurements could be the lengths of the sides of a right
triangle?
А
1, 2, 3
с
5, 12, 13
9, 13, 15
10, 20, 30
D
Answers
Answer:
5, 12, 13
Step-by-step explanation:
because if you use the pythagorean theorem, you will get 13 as the hypotenuse if you take the two shorter sides.
Eva is 29 years old and has 2 children, ages 3 and 5. She makes 48,500 a year. Eva decides to buy a 400,000 10-year term policy then renew the policy for another ten years afterwards. To renew the policy the insurance company charges an extra 40% to her premium rate.
Answers
Answer:
Eva would have been better off selecting the 20-year term policy.
Step-by-step explanation:
Base on the scenario been described in the question, Eva would have been better off selecting the 20-year term policy. This reason is because assuming Eva bought the 20-year term policy, she wont be paying the new charge of extra 40% to her premium rate, compared to when she bought the 10-year term policy then renew the policy for another ten years.
Eva's best option would be to buy on a 20-year policy. This is better because she is able to evade the additional, 40% to her premium rate.
Insurance Premium;Premiums are percentages of the cost value charged by the insurance company for their services and benefits.
If she pays, 400,000 in ten years, this means she pays 40,000 each year.Upon renewal, she'll have to 40% more and her new premium will be; 56,000.Read more on insurance premium;
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CAN SOMEONE PLEASE HELP ME
Find the sine of angle R. Reduce the answer to the lowest terms.
Find the cosine of angle R. Reduce the answer to the lowest terms.
Find the tangent of angle R. Reduce the answer to the lowest terms.
Find the sine of angle S. Reduce the answer to the lowest terms.
Find the cosine of angle S. Reduce the answer to the lowest terms.
Find the tangent of angle S. Reduce the answer to the lowest terms.
Answers
Answer:
Since sine is equal to opposite over hypotenuse, you would create the fraction 8/10. 8 and 10 are both divisible by 2, so that fraction would reduce to 4/5, which is the answer.
Step-by-step explanation:
hey can yall make me brainlyiest
Answer:
4/5 sine
Step-by-step explanation:
The rectangle below has an area of x^2-7x+10x square meters and a width of x-5x meters. What expression represents the length of the rectangle?
Answers
Answer:
The area of a rectangle is:
\sf A=lw
Plug in what we know:
\sf x^2-7x+10=l(x-5)
Factor the left side:
\sf (x-2)(x-5)=l(x-5)
Divide (x - 5) to both sides:
\sf l=\boxed{\sf x-2}
So the length is x - 2 meters.
Step-by-step explanation:
de
considerando AB =PQ. Na figura abaixo, para que os triângulos ABC e PQR sejam congruentes, os
valores de xe y devem ser
Y-3
2x + 1
Q
R
A) x = 2 e y = 12
B) x = 4 e y = 8
C) x = 5 e y = 2
D) x = 6 e y = 8
Answers
Answer:
The answer might be d.
The surface area of a cone is 396π square inches. If the radius is 12 inches, find the slant height of the cone.
Answers
Answer:
Slant height = 33 inches
Step-by-step explanation:
r = 12 inches
Lateral Surface Area of cone = 396π square inches
πrl = 396π
π * 12 * l = 396π
[tex]l=\frac{396\pi }{12*\pi }\\[/tex]
l = 33 inches
Which complex number has a distance of the square root of 17 from the origin on the complex plane?
Answers
Hey there! I'm happy to help! :D
-------------------------------------------------------------------
OVERVIEW
A complex number is a real number combined with an imaginary number (such as i, a number that will equal -1 when squared).
The complex plane is an interesting thing we use to graph complex numbers. The horizontal axis is where you plot the real part of the complex number, and the y-axis is where you plot the coefficient of the imaginary number.
For example, if I had the complex number 4+3i, I would plot the point (4,3) on the complex plane.
-------------------------------------------------------------------
MODULI
The modulus (plural is moduli) is the distance of a complex number from the origin on the complex plane. To find the modulus, you take the real number and the coefficient (basically the points of your graph), square them, add the results, and then you find the square root of that! Here's a little checklist so that you can always find the modulus of any complex number!
STEPS TO FIND MODULUS GIVEN COMPLEX NUMBER
STEP 1: PLOT THE COMPLEX NUMBER
Let's use our complex number 4+3i. If we plot it, the point will be (4,3)
STEP 2: TAKE YOUR VALUES OF X AND Y AND SQUARE THEM
4²=16
3²=9
STEP 3: ADD THESE SQUARES
16+9=25
STEP 4: SQUARE ROOT IT
√25=5
Therefore, the modulus (distance from the origin on the complex plane) of 4+3i is 5.
-------------------------------------------------------------------
SOLVING THE PROBLEM
In our case, we are given a modulus but not a point on the line. Our modulus is the square root of seventeen. We are going to have to the steps to find the modulus backwards to find our points. I will put the steps for finding a complex number given the modulus below.
STEPS TO FIND COMPLEX NUMBER GIVEN MODULUS
STEP 1: SQUARE THE MODULUS
√17²=17
STEP 2: FIND THE SQUARES THAT MAKE UP THE NUMBER
Before, we could just add things we found. Now, we have to find the things that were added! How do we know what things were added to find 17? Well, we know that we added two squares to find the modulus, so we will subtract a square of some sort and hopefully come up with another square.
Let's see what squares exist that are less than seventeen.
1, 4, 9, 16
(Note that one is 1², 4 is 2², 9 is 3², and 16 is 4²)
Which of these can we add to get 17?
Well, we can do 1 and 16, so this is our result so far.
STEP 3: SQUARE ROOT THE RESULTS
Now, we just find the square roots of what we found in the last problem!
√1=1
√16=4
STEP 4: PLOT THE GIVEN NUMBERS ON THE PLANE AND FIND THE COMPLEX NUMBER
We can plot these either way because the modulus of 1+4i will be the same distance from the origin as 4+i because we only use the commutative property (adding order doesn't matter) when looking for the modulus. You can also have the negative version of either number because you immediately square it, so it can also be -4+i or 4-i! You can also rearrange the equation in tons of ways to figure it out. You could also have both be negative, flip the coefficient placement, etc.!
-------------------------------------------------------------------
SOLUTION
Therefore, the complex numbers that have a distance of √17 from the origin on the complex plane are ±4±i and ±1±4i. So, why did I write all of these funny plus and minus signs? Well, it's so that I didn't have to write all of the possible equations. I believe those equations actually represent 8 possible points we can create with the solution we got.
4+i
-4+i
4-i
-4-i
1+4i
-1+4i
1-4i
-1-4i
You can plug these complex numbers back in and find the modulus with my instructions to find the modulus given a complex number. Now, you will be able to deal with moduli and complex numbers for the rest of your life!
I hope that this helps! Have a wonderful day! :)
What is the length of MN?
Answers
Answer:the length of MN is6 units
Step-by-step explanation:
It is correct
Clara slept for a total of 126 hours over the cousrve of two weeks.If she sleeps for the same amount of each time each night,how many hours does she sleep per night?
Answers
Answer:
9
Step-by-step explanation:
Answer:
9 hours per night
Step-by-step explanation:
Assuming a week is 7 days
7 * 12 = 14 days
126/14=9
She slept 9 hours per night
Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height. The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height.Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height. The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height.
Answers
The height and width of the box shipped is 15 and 8 inches respectively.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2( lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, The width of the box is seven inches less than the height.
Assuming the width to be 'w' hence the height(h) = w + 7 and has a length of 24 inches with a volume of 2880 cubic inches.
We know the volume(V) of a cuboid is l×w×h.
Therefore,
24×w×(w + 7) = 2880.
24w(w + 7) = 2880.
24w² + 168w = 2880.
6w² + 42w = 720.
w² + 7w = 120.
w² + 7w - 120 = 0.
w² + 15w - 8w - 120 = 0.
w(w + 15) - 8(w + 15) = 0.
(w + 15)(w - 8) = 0.
w = 8 and hence h = 8 = 7 = 15.
So, the width and height of the box is 8 and 15 inches respectively.
learn more about cuboids here :
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Terrence and Lee were selling magazines for a charity. In the first week, Terrance sold 30% more than Lee. In the
second week, Terrance sold 8 magazines, but Lee did not sell any. If Terrance sold 50% more than Lee by the end of the
second week, how many magazines did Lee sell?
Choose any model to solve the problem. Show your work to justify your answer.
Please explain I don’t understand how to solve this problem.
Answers
Lee sold 40 magazines
Step-by-step explanation:
Equation Model:
Let m be the number of magazines Lee sold.
150%-130%=20%, so if 0.2m=8 then m=40
Let me show another way: In the image above 20% is equal to 8 so if we use 8 and 20% and try to reach our way up to 100% (How much Lee sold in total) then we will get our answer.
20%=8
40%=16
60%=24
80%=32
100%=40
Therefore Lee sold 40 magazines.
Hope that makes sense! If you have any more questions or need further clarification then please comment down below or message me! Good luck!
What does it mean for points to be colinear?
Answers
Answer:
Three or more points that lie on the same line are collinear points .
Step-by-step explanation:
Find the sum of (x + 4) and (3x + 2) *
Answers
Answer:
4x+6
Step-by-step explanation:
(x+4)+(3x+2)
=x+4+3x+2
=4x+6
Name a career in which one would have to use the Pythagorean Theorem. Give an example of when, where, and how it would be used.
FULL EXPLANATION NEEDED
Answers
Answer:
Engineers use the Pythagorean Theorem to figure out measurements of objects.
3. What are the lateral area and the surface area of the cone shown below? Round the answers
the nearest tenth. The figure is not drawn to scale.
12 ft
21 ft
LA = 452.4 ft?; SA = 2,598.8 ft?
LA = 452.4 ft?; SA = 1,244.1 ft2
LA=791.7 ft?; SA = 2,598.8 ft2
OLA = 791.7 ft2, SA = 1,244.1 ft2
Answers
Answer:
option 4
Step-by-step explanation:
LA = πrl
Here, l ----> slant height
l= 21 ft
r = 12 ft
LA = 3.14*12*21 = 791.7 square ft
SA = πr(l + r)
= 3.14*12 *(12+21)
=3.14* 12 * 33
= 1244.1 square ft
what is a measure of an angle between the perpendicular
bisectors of two adjacent sides of a regular polygon 3
Sides ?
Answers
Answer:
2/5*180=72
360/72=5
as simple as that you just need to read on polygons
Step-by-step explanation:
pls give me brainlyist
Christopher drove 199.5 miles in 3.5 hours. If he drove at a constant speed, how far did he drive in one hour? *
Answers
Answer:
57 miles
Step-by-step explanation:
Answer:
57 miles
Step-by-step explanation:
divide 199.5/3.5 and you will get 57 miles
simplify (2x+1) (x+3)
Answers
I expanded the polynomial using the FOIL method
Beth drinks one-quarter of a gallon of milk every 2 days. If she continues to
drink the same amount every day, what is her weekly rate of consumption?
Answers
Answer:
1 gallon and 1 quarter
Step-by-step explanation:
Allen has a 18-Foot ladder. If he sets it to make a 70 degree angle with the ground, how high will it reach? Round decimal to the nearest hundredth.
Answers
Answer:
20.5 feet
Step-by-step explanation:
HELP U GUYS. For a fundraiser, Alex sold large boxes of oranges for $9 each and small boxes of oranges for $5 each. if he sold 17 boxes in all total for 105, how many more small boxes than large boxes did he sell?
A.5
B.7
C.9
D.11
Answers
Answer:
He sold 7 more small boxes than large boxes
Step-by-step explanation:
Let x be the no of small boxes sold .
Cost of 1 small boxes of oranges = $5
Cost of x small boxes of oranges = 5x
Let y be the no. of large boxes sold
Cost of 1 large boxes of oranges = $9
Cost of y large boxes of oranges = 9y
He sold 17 boxes in all total for 105
So,x+y=17 ---1
So,5x+9y=105 ---2
Substitute the value of x from 1 in 2
5x+9(17-x)=105
5x+153-9x=105
153-105=4x
[tex]\frac{153-105}{4}=x[/tex]
12=x
Substitute value of x in 1
12+y=17
y=17-12
y=5
Difference in no. of boxes = 12-5 = 7
So, He sold 7 more small boxes than large boxes
find the center and radius of the circle x2+(y+8)2=4
Answers
Answer: Center (0, -8) and Radius = 2
The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.
You can write the equation as (x-0)² + (y-( -8))² = 2². From this, you can conclude that the center is (0,-8) and the radius is 2.
Simplify the expression. Assume that all variables are positive. Exponents in simplified form should all be positive
Answers
Answer:
5
Step-by-step explanation:
We know that a^b^c = a^ (b*c)
1/25 ^(-2/3* 3/4)
1/25^ (-2/4)
1/25 ^ -1/2
Rewriting 1/25 as 5^-2
5^-2 ^-1/2
Again a^b^c = a^ (b*c)
5^(-2*-1/2)
5 ^ 1
5
Can someone help me!!
ASAP
Answers
Answer:
It would be 30
Step-by-step explanation:
6*5=30
