Answer:
125 mL
Step-by-step explanation:
Susan's purple paint has the proportions 2 parts red and 3 parts blue. That means the total amount of paint is (2+3)/2 = 5/2 the amount of red paint, or (2+3)/3 = 5/3 the amount of blue paint.
__
The total amount of paint Susan has is 50 mL +100 mL = 150 mL.
If Susan uses all of her red paint (with sufficient blue paint), she would have an amount of purple paint equal to ...
(5/2)(50 mL) = 125 mL . . . . purple paint
If Susan uses all of her blue paint (with sufficient red paint), she would have an amount of purple paint equal to ...
(5/3)(100 mL) = 166 2/3 mL . . . . purple paint
This is more paint than Susan has, so the amount of purple paint Susan can make is limited by the amount of red paint she has. Susan can make a maximum of 125 mL of purple paint.
_____
Additional comment
Essentially, we have rewritten the proportion to show corresponding amounts of red and blue paint:
red : blue = 2 : 3 = 50 : 75 = 66 2/3 : 100
Since Susan has only 50 mL of red, and more than 75 mL of blue, the red paint is the limiting ingredient.
A term describing a division of observations into four
Answer:
The name of this term is a quartile.
Which of the relations given by the following sets of ordered pairs is a function?
(8,1),(-4,1),(3,5),(0,4),(-1,2)
{(-5,-4),(-4,-3),(-3,-2),(-4,-5),{(-2,-1)}}
((2,4),(2,6),(2,8),(2,10),(2,12)]
({(0,3),(-6,8),(-3,5),(0,-3),(7,11)})
Answer:
Number 1
Step-by-step explanation:
Functions have to have no repeating x-intercepts.
If two number cubes are rolled what is the probability of rolling two numbers with a sum less than or equal to 10
Answer:
[tex]p = \frac{11}{12}[/tex]
Step-by-step explanation:
If we roll two number cubes we can summarize the results in the following table (Check table in the attachment)
According to table of sum we roll two numbers with a sum less than or equal to 10 in 33 cases out of a total of 36 result
Then
The probability of rolling two numbers with a sum less than or equal to 10 is: 33/36 = 11/12
Complete the statement about taxes on dividends. Dividends that are (nonqualified or qualified) are taxed the same as short-term capital gains, which is (equal to, higher than, lower than) the investor's marginal tax rate
Dividends that are nonqualified are taxed the same as short-term capital gains, which is lower than the investor's marginal tax rate.
What is Marginal tax rate?This is defined as the amount of additional tax paid for every additional dollar earned as income.
The additional amount calculated therefore makes nonqualified dividends to have a lower value than it.
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Answer: dividends that are NONQUALIFIED are taxed the same as short-term capital gains, which is EQUAL TO the investors marginal tax
Step-by-step explanation:
Glven: AABC with altitude h shown in the diagram. The altitude is perpendicular to BC.
Prove: Area of AABC = 1/2ab sin(C)
By the definition of the (sine ratio, area of triangle, or perimeter of triangle) , the area of ABC is 1/2 ah, then, sin (C)h/b bye the definition of the sine ratio. Using the (division property, multiplication property, substitution property,) bsin(C) = H. Lastly A= 1/2absin(C) by the (simplification, division property, multiplication property, substitution property)
Answer:
Area of triangle
Multiplication property of equality
Substitution property of equality
Step-by-step explanation:
Hope this helps
So, it is proven that the area of triangle ABC is [tex]\frac{1}{2} * a*b*SinC[/tex].
What is a triangle?A triangle is a 2D shape having three sides and the sum of all angles is 180°.
We have,
A ΔABC,
And,
AB = c
BC = a
CA = b
H = Altitude of the triangle,
Now,
Area of triangle [tex]=\frac{1}{2} * Base *Altitude[/tex]
i.e.
Area of triangle ABC [tex]=\frac{1}{2} * a*h[/tex] .....(i)
Now,
Using trigonometric ratios,
[tex]Sin C = \frac{Perpendicular}{Hypotenuse}[/tex]
i.e.
[tex]Sin C = \frac{h}{b}[/tex]
We get,
h = b * SinC
Now,
putting this value in equation (i),
We get,
Area of triangle ABC [tex]=\frac{1}{2} * a*b*SinC[/tex]
So,
It is proved that area of triangle ABC [tex]=\frac{1}{2} * a*b*SinC[/tex] ,
Hence, we can say that it is proven that the area of triangle ABC is [tex]\frac{1}{2} * a*b*SinC[/tex], using trigonometric ratios and the triangle's area formula.
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Type the correct answer in the box. Use numerals instead of words.
A toy ball has a surface area of 7,543 square millimeters.
What is the radius of the toy ball to the nearest tenth of a millimeter?
The radius is millimeters.
Answer:
The answer is 7,540 to the nearest tenth. If I'm wrong put it in the comments olease
The radius of the toy ball is 24.5 millimeter (to nearest tenth)
What is the surface area of a sphere ?Let, r be the radius of the sphere.
Then the surface area of the sphere = [tex]4\pi r^{2}[/tex] sq. unit
How to find the radius of the toy ball?The structure of the toy ball is sphere.
Given, Surface area of the toy ball = 7543 square millimeter
Let, the radius be r millimeter
∴ [tex]4\pi r^{2}[/tex] = 7543
⇒ [tex]r^{2}[/tex] = [tex]\frac{7543}{4*3.14}[/tex] , where [tex]\pi[/tex] = 3.14
⇒ [tex]r^{2}[/tex] = [tex]\frac{7543}{12.56}[/tex]
⇒ [tex]r^{2}[/tex] = 600.56
⇒ r = [tex]\sqrt{600.56}[/tex]
⇒ r = 24.5 (approx)
Radius = 24.5 millimeter (to nearest tenth)
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you roll a six-sided die. find the probability of the event described. explain your reasoning: you roll a number less than three
A group consists of 10 kids and 2 adults. On a hike, they must form a line with an adult at the front and an adult at the back. How many ways are there to form the line
Answer:
1
Step-by-step explanation:
One adult at the front ~ ten students in a line ~ Second adult
the 6th term is 22 and the common difference is 6 what is the fiftieth term?
Answer:
the fiftieth term is 76
Step-by-step explanation:
first subtract 15 by 6
15-6= 9
22+ 6 (9)
6 x 9= 54
22 + 54= 76
Answer: 76
There are 6 juice boxes in 1 pack. 12 in 2 packs, and 18 in 3 packs. How many juice boxes are in 4 packs? in 6 packs? Use the rule to complete the table. Describe features of the pattern Then find how many juice boxes are in 10 packs and 100 packs
Answer:
24 boxes in 4 packs.
36 boxes in 6 packs.
60 boxes in 10 packs.
600 boxes in 100 packs.
Step-by-step explanation:
If 6 boxes are in 1 pack and 12 in 2, you can use a ratio, which is 1:6 meaning for every 1 pack are 6 boxes.
There are two ways you can get an answer
Multiplication:
For however many packs there are you multiply it by 6 boxes.
For 4 packs, you multiply it by 6 boxes. You would get 24 boxes.
For 6 packs, you multiply it by 6 boxes again getting 36 boxes.
Below is a table I made for an example.
P | B
1 | 6
2 | 12
3 | 18
4 | 24
5 | #
6 | 36
10 x 6 is 60
100 x 6 is 600.
whenever the multiplier starts with 1 and ends in 0, just add the number of zeros behind that number. Example: 7 x 1,000,000 = 7,000,000
Which expression is equivalent to 312 • 79?
Answer:
Step-by-step explanation:
Fill in the blanks!
Answer:
5(3x + 4y)
= (5×3x) (5×4y)
=15x + 20y
Step-by-step explanation:
Simplify by expanding
I'm not sure if this is the answer you want but I hope it helps
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. what is the approximate area of the heptagon rounded to the nearest whole number? recall that a heptagon is a polygon with 7 sides. 1,173 cm2 2,125 cm2 2,359 cm2 4,250 cm2
The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².
What is the area of a heptagon?Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.
The area of the regular heptagon is found out using the following formula.
[tex]A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)[/tex]
Here, (a) is the length of the heptagon.
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,
[tex]A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2[/tex]
Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².
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Answer: b
Step-by-step explanation:
What is the number of x-intercepts of the graph of the function f ( x ) = 25 x 2 + 4 ?
Answer:
0.
Step-by-step explanation:
For x-intercepts:
25x^2 + 4 = 0
x^2 = -4/15
There are no real square roots of a negative value, so there are no x-intercepts.
Solve for m. 2 = m /3 − 2
Answer:
12
Step-by-step explanation:
Add 2 to both sides, giving 4 = m/3Multiply both sides by 3, giving 12 = mEntercept word problems
arn
r
2. the water in nate's swimming pool is
currently 72 inches deep. however, nate
noticed a hole in the liner that is causing
water to leak out of the pool. the depth of
the water is decreasing at a rate of 2 inches
per hour. which equation relates the depth
(d) of the water in inches after h hours?
How do I solve this ?
the sum of 2 thousands, 11 hundreds, 8 tens 2 ones=
Answer:
answer is 3182
Step-by-step explanation:
hdjsiabehdk
Tyrone randomly drew pieces of paper numbered 10 through 50 out of a bowl. After he drew each piece of paper, he recorded the number, returned the piece of paper to the bowl, and then drew the next piece of paper. His results are recorded in the stem-and-leaf plot below.
1 1 1 2 3 4 4 5 7 8
2 0 1 2 2 2 3 4 6 8 9
3 0 0 1 2 3 4 5 5 6 7 9 9
4 3 4 4 5 6 7 8 8 9
Key: 1 6 represents 16
Based on the information in the stem-and-leaf plot, what is the experimental probability that a piece of paper randomly drawn from the bowl will have the number 35 written on it?
A.
B.
C.
D.
Answer:
the answer is D, 1/20
Step-by-step explanation:
i got it wrong the first time but just look at the correct answer choice
The experimental probability is 1/20 that a piece of paper randomly drawn from the bowl will have the number 35 written on it.
What is the stem-and-leaf diagram?A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).
As per the given stem-and-leaf plot, the required solution would be as:
First, determine the total number of pieces of paper pulled from the bowl by totaling the entries in the stem-and-leaf plot.
The stem-and-leaf layout has 40 numbers, with two of them being 35.
As a result, two of the forty pieces of paper drawn had the number 35 scrawled on them.
So, the experimental probability of the piece of paper having 35 on it is :
2/40 = 1/20.
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For the first 6% of Bianca's salary, her employer matches 100% of her 401(k)
contributions, and from 6% to 12%, Bianca's employer matches 50% of her
401(k) contributions. Bianca's salary is $50,000, and last year, she contributed
$6000 to her 401(k) plan. What was her employer's contribution to the
401(k)?
Answer:
4500
Step-by-step explanation:
please help me (NO LINKS PLEASE)
Yvette spins the following spinner 35 times.
A spinner with 5 equal sections labeled 1 through 5.
How many times should she expect it to land on 4?
Enter your answer as a number, like this: 42
Answer:
7 times
Step-by-step explanation:
Prob of landing on 4: 1/5
1/5 * 35 = 7
Answer: 7
Step-by-step explanation:
20 points!! Will give brainilisest. ASAP!!
Answer:
Measure the border between the black lines and the distance between the two places. Then calculate the difference.
Step-by-step explanation:
EX: Let’s say distance is 10 inches distance and 7 inches distance between cities.
7/10–> 7x36/10x36
252/360
And then simplify!
QUESTION 1 of 10: If you pay a total of $400 for your social media campaign, and you agreed to pay $0.20 per click, how many clicks did you
get?
a) 80
b) 160
c) 1,200
d) 2,000
Answer:
d. 2,000
Step-by-step explanation:
400 (total) / 0.20 (per click) = 2,000
Describe the length and width of a rectangle that has the same area as the one below, but a different perimeter.
the area of both rectangles is 34yd²
hope it really helps...!!!
come get a prize brainlest
Answer: 70 - 79
hope this helps! :)
A hen weighs 2.7 kg. After laying an egg her weight is reduced by 1%. How much does she
weigh now?
2.673 is the asnwer to your quesstion.
Brainly patrol, this is a real answer. Stop it.
 Can a probability more than one or 100% Explain.
Answer:
No. Only 1 to 100, logically.
Let's make a scenario to solve this.
So let's say I have an all yellow, 9 quarter spinner board and I spin. It will always land on yellow, so it has a 9/9 or 100% chance of landing on yellow.
Now we must create another scenario.
For instance, I have one bottle, its starting direction was North, and I spin it. It will have a 1/4 chance of landing on North, East, South, or West because it will land in a random direction. For the 4 diagonal directions southeast, southwest, northeast, northwest it will be the same because there are only 4 directions, therefore giving the probability a 1 in 4 chance of landing on either one. :)
No. Only 1 to 100, logically.Let's make a scenario to solve this.So let's say I have an all yellow, 9 quarter spinner board and I spin. It will always land on yellow, so it has a 9/9 or 100% chance of landing on yellow.Now we must create another scenario.For instance, I have one bottle, its starting direction was North, and I spin it. It will have a 1/4 chance of landing on North, East, South, or West because it will land in a random direction. For the 4 diagonal directions southeast, southwest, northeast, northwest it will be the same because there are only 4 directions, therefore giving the probability a 1 in 4 chance of landing on either one. :)
Step-by-step explanation:
The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?
Answer: 113.04 in^2
Step-by-step explanation:
area of a circle = pir^2
R = 12/2 = 6
A= 3.14 * 6^2
= 113.04
Find the measure of the missing angles.
147°
b =
c =
Step-by-step explanation:
b = 147° ( vertically opposite angle )
c + 147 ° = 180° ( supplementary angle )
c = 180° - 147°
c= 33°...
Answer:
Step-by-step explanation:
b = 147° {Vertically opposite angles are congruent}
Linear pair: A linear pair is a pair of adjacent angles whose non-common arms form a line ( opposite rays)
c + 147 = 180 {Linear pair}
c = 180 - 147
c = 33°
the ratio of ________to ____________is 4:6 because ther are 4 __________ for every 6 ___________.
Answer:
the ratio of apples to oranges is 4:6 because there are 4 apples for every 6 oranges.
Step-by-step explanation: