The proof that Daniel and Edward receive money in the ratio of their ages is shown below.
What is a Ratio?A ratio expresses the number of times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon-to-orange ratio is 6:8, while the orange-to-total fruit ratio is 8:14.
Given that Daniel and Edward receive money in the ratio of their ages. And the age of Daniel and Edward is 8 years and 12 years, respectively. Therefore, it can be written as,
Ratio of Ages
=Age of Daniel: Age of Edward
= 8 years : 12 years =
= 2 : 3
Ratio of the amount received by them
= Amount received by Daniel: Amount received by Edward
= $30 : $45
= 2 : 3
Since, Ratio of Ages = Ratio of the amount received by them.
Therefore, it can be concluded that Daniel and Edward receive money in the ratio of their ages.
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The complete question is:
Daniel is 8 years old and Edward is 12 years old. Their parents give them money in the ratio of their ages. If Daniella receives $30, then Show that Edward receives $45.
Gabriella needs 120 m of fence to surround a rectangular garden. The length of the garden is three times its width, W.
How wide is the fence?
Answer: The width of the garden/fence will be 15 m.
Step-by-step explanation: First, we have to understand that there will be two wide sides and two long sides, and in a rectangle, the long sides always equal each other and the wide sides equal each other as well. This means that one width and one length will equal 120/2=60.
In other words:
one length of the garden + one width of the garden = 60
Now that we know this, we move on to the "3 times" part of the question. For this step, it is easiest to imagine quarters of something, because 3/4 of something will always be 3 x 1/4 of something; The proportion for 3/4:1/4 will always be 3:1.
60 x 3/4 is equal to 45 and 60 x 1/4 is equal to 15.
To check our answer, L+W+L+W = 45+15+45+15 = 120.
This means each wide side is equal to 15.
rango de y=5/(x^2-25)
Answer: x = -5, 5 y= 0
Step-by-step explanation:
vertical asymptotes = x= -5, 5
horizontal asymptotes = y= 0
In the expression 5 * y/7 what value of y would make a product greater than 5
The table below lists the capacity, in quarts, of four different fish tanks at a pet store.
FISH TANK CAPACITY
Fish Tank
A Pacific
B Fresh
C. Tropic
D Bahama
Pacific
Fresh
Tropic
Bahama
Which fish tank has capacity of 60 gallons?
Capacity (quarts)
240
15
120
60
The fish tank that has a capacity of 60 gallons is given as follows:
A. Pacific.
How to obtain the fish tank?The fish tank that has a capacity of 60 gallons obtained applying the proportions in the context of the problem.
The rate between quarts and gallons is given as follows:
1 gallon = 4 quarts.
Hence the capacity in quarts equivalent to 60 gallons is given as follows:
60 x 4 = 240 quarts.
Meaning that the Pacific fish tank has a capacity of 60 gallons.
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0.35+0.63*100÷0.4-0.34
A circle is inscribed in a square as illustrated. A wheel, whose radius is 10 inches,
rolls along the circle. How many complete revolutions will the wheel make to
travel around the circle once? Use 3.14 as an approximation for .
The wheel will make one complete revolution around the circle after travelling a distance of 62.8 inches.
What is the circumference of the circle?The distance that the wheel travels around the circle once is equal to the circumference of the circle.
The formula for circumference of a circle is given as;
D = 2πr
where;
r is the radius of the circleThe radius of the circle = 10 inches
The circumference of the circle is calculated as follows;
D = 2 x 3.14 x 10
D = 62.8 inches
Thus, the circumference of the circle is determined as 62.8 inches.
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What is 00.00 in 12 hour clock time
Answer:
00:00 in 12-hour clock time is equivalent to 12:00 midnight. It is the start of a new day and is the first minute of the 12-hour time cycle.
HELP ASAP 10 POINTS WILL GIVE BRAINLIIST
Answer: (a. x^4/2yz)^2 b. -3ab c. 2(3a^2-2ab+1)/3ab d. -(xy^2+2y^2-4)/4xy QUESTION 5: a. (7y^3+6v^3+3v^2)/v b. 9x^2-7x-8
Step-by-step explanation:
For many of these, you must be able to see that anything to the first is just that number, so it will be useless to write z^1 in question one. You can then factor out, and cancel out the numbers that are the same. Then, you can simplify. This is how you can do all of these. This is a very complicated process nd will take a while to do, but once you are able to do it, it becomes easy. If you still are having trouble understanding, you can put it into a long division calculator for polynomials, and they will show you the steps. For the fifth questions, we can cancel out the common factors, and we can also apply rules such as the fraction rule or the exponent rule to do this. The key thing here is to simplify to make it easier when you divide and multiply.
Hope this helps
Mark brainlist please!
Suppose a trapezoid is defined as a quadrilateral with at least 1 pair of parallel sides. How would the quadrilateral venn Diagram change?
Suppose a trapezoid is defined as a quadrilateral with at least 1 pair of parallel sides. Thus, trapezoids will change the venn Diagram by being classified as under 1 pair of parallel sides.
In geometry, a quadrilateral with at least one set of parallel sides is referred to as a trapezium in American or Canadian English, or a trapezium in British as well as other forms of English. In Euclidean geometry, a trapezium is a convex quadrilateral by definition. The bases of a trapezium are the parallel sides. Thus, trapezoids will change the venn Diagram by being classified as under 1 pair of parallel sides.
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Please answer the question
Answer: $105
Step-by-step explanation:
I would take 5+2=7 then take 7×15=105
Answer is $105 to ship.
For her end of the year party Adriana mixed 6 L of Brand A juice with 9 L of Brand B juice. Brand A contains 52% fruit juice and Brand B contains 12% fruit juice. What percent of the mixture is fruit juice?
A. 28%
B. 20%
28% of the mixture is fruit juice.
Given that, Adriana mixed 6 L of Brand A juice with 9 L of Brand B juice. Brand A contains 52% fruit juice and Brand B contains 12% fruit juice.
We need to find that what percent of the mixture is fruit juice,
So,
Fruit juice in Brand A = 6 × 0.52 = 3.12 L
Fruit juice in Brand B = 9 × 0.12 = 1.08 L
So, (3.12 + 1.08 / 6 + 9) × 100%
= 28%
Hence 28% of the mixture is fruit juice.
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Please help
Francisca and Elizabeth are participating in a walk-a-thon fundraiser. Each girl walks for 3 hours. How much will the raise together
Francisca $ 25.50 every 1/2 hour
Elizabeth is $ 14.50 every 1/4 hour
Answer:
327
Step-by-step explanation:
To calculate how much Francisca and Elizabeth will raise together, we need to know how many laps or miles they walked. Unfortunately, the problem doesn't provide us with that information.
However, we can calculate how much each girl will raise individually.
Francisca will walk for 3 hours which is equal to 6 half-hours. She raises $25.50 every half-hour so she will raise:
$25.50 x 6 = $153
Elizabeth will walk for 3 hours which is equal to 12 quarter-hours. She raises $14.50 every quarter-hour so she will raise:
$14.50 x 12 = $174
Therefore, Francisca and Elizabeth will raise a total of:
$153 + $174 = $327
Yasin has a bag containing five red balls and two white balls. Yasin is going to pick a ball at random. How many more white balls should Yasin put in the bag so that it is just as likely that he will pick a red ball as a white ball?
Miguel has a stick that is 2/3 yd long. He cuts it in to pieces, as shown in the model
HELP I CANT SOLVE THIS ONE:
The model shows that there are __ pieces that are each __ yd long
Answer:
Solution: It is given that Miguel needs to cut a board that is Two-thirds of a yard long into 3 equal pieces. It means is divided in 3 equal parts.
Step-by-step explanation:
Use the triangles below to find the missing length o segment TU.
Answer: 16
Step-by-step explanation:
I am not sure if this answer is 100% correct, but I believe this is a question involving proportions.
If you create a proportional equality equation that looks like this:
[tex]\frac{40}{30}=\frac{x}{12}[/tex]
It will give the x value as the answer to the problem. This is because the two triangles are proportional to one another.
Find the 3rd term in the expansion of ( 5 � − 7 � ) 3 (5x−7y) 3 in simplest form.
The third term in the expansion of the expression (5x - 7y)³ is 735xy².
Given expression is,
(5x - 7y)³
We have to expand this.
We know that,
(a + b)³ = a³ - 3a²b + 3ab² - b³
Using this,
(5x - 7y)³ = (5x)³ - (3 × (5x)² × 7y) + (3 ×(5x) × (7y)²) - (7y)³
= 125x³ - (3 × 25x² × 7y) + (3 × 5x × 49y²) - 343y³
= 125x³ - 525x²y + 735xy² - 343y³
Here the third term is 735xy².
Hence the third term is 735xy².
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Danielle was completing her science project and mixed saline solutions A and B. Brand A was a six gallon 18% saline solution and she ended up with an 18 gallon 8% saline solution mixture. Find the percent of saline solution in brand B.
A. 2.1%
B. 21%
C. 3%
Brand B contains 3% saline solution by volume. Then, C is the right answer.
Percentage of saline solution in brand B, let x be.
We know that the overall volume of saline solution in the combination is 18% of 6 gallons plus x% of (18 - 6) gallons since Danielle blended brands A and B to make a total of 18 gallons of 8% saline solution.
Then the equation is given as,
0.18(6) + 0.01x(18 - 6) = 0.08(18)
Simplifying and solving for x, we get:
1.08 + 0.12x = 1.44
0.12x = 0.36
x = 3
Therefore, the percentage of saline solution in brand B is 3%.
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. A corner shelf is in the shape of a triangle. One side measures while another side measures . What is the total of two sides? Show all work. If the perimeter measures , what is the length of the missing side? Show all work. If we know that then what are the lengths of the three sides of the triangle? Show all work. Is it possible to have these side lengths? Why or why not?
The three sides of the triangle are a, b, P - (a + b)
The length of the missing side, and the lengths of all three sides of a triangular corner shelf.
Given that one side of the triangular shelf measures "a" units and another side measures "b" units, we can find the total of two sides by adding them together:
a + b = total of two sides
If the perimeter of the triangle measures "P" units, we know that the perimeter is the sum of all three sides, so:
a + b + c = P
where "c" is the length of the missing side. We can rearrange this equation to solve for "c":
c = P - a - b
To find the lengths of all three sides of the triangle, we can substitute the value of "c" that we just found into the Triangle Inequality:
a + b > P - a - b
Simplifying this inequality, we get:
2a + 2b > P
Dividing both sides by 2, we get:
a + b > P/2
So, if "a + b > P/2", then the triangle can exist, and we can use the value of "c" that we found earlier to get the lengths of all three sides:
a + b + c = P
a + b + (P - a - b) = P
c = P - (a + b)
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Lcm of 2/3^2 - 1/3
Any help would be useful
Answer:
9
Step-by-step explanation:
You want the least common denominator for the fraction in the sum ...
(2/3)² -1/3
SimplifyWhen the sum is simplified, it is ...
4/9 -1/3
The denominator 9 is a multiple of the denominator 3, so the least common denominator of these two fractions is 9.
__
Additional comment
Using that denominator, the sum is ...
4/9 -3/9 = 1/9
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The pair of values below is from a direct variation. Find the missing value.
(3,8),(18,y)
y=?
Answer:
y = 48-------------------------
Direct variation equation:
y = kx, where k - variation coefficientUse the first pair of coordinates, x = 3 and y = 8 to find the value of k:
8 = 3kk = 8/3The equation becomes:
y = (8/3)xNow use the value of x = 18 to find the missing coordinate:
y = (8/3)*18 y = 48If male and female students of section B in DPS and DAV are in ratio 3 : 2 and 4:3 respectively then male students of section B are how much percent more than female students of section B considering both the schools (approx). (A) 50% (C) 36% (B) 25% (D) 40
If male and female students of section B in DPS and DAV are in ratio 3 : 2 and 4:3 respectively then male students of section B are 40% more than female students of section B considering both the schools (approx).
(A) 50% (C) 36% (B) 25% (D) 40%.
Hence, the correct option is D.
Let us assume that there are 3x male students and 2x female students in section B of DPS, and there are 4y male students and 3y female students in section B of DAV. We can set up the following equations to represent the given ratios
3x : 2x = male : female in DPS section B
4y : 3y = male : female in DAV section B
By simplifying these ratios, we get
3 : 2 = x/y for DPS section B
4 : 3 = x/y for DAV section B
Solving for x and y, we get
x = 6y for DPS section B
x = 4.5y for DAV section B
Now, let us add the male and female students in section B from both schools.
Male students = 3x + 4y = 3(6y) + 4(4.5y) = 30y
Female students = 2x + 3y = 2(6y) + 3(4.5y) = 21y
So, the ratio of male to female students in section B from both schools combined is
30y : 21y = 10 : 7
Therefore, male students are (10 - 7)/7 = 3/7 = 0.4286 (approx. 43%) more than female students in section B from both schools combined.
However, the question asks for the percentage more, so we need to multiply this answer by 100 to get a percentage.
0.4286 x 100 ≈ 42.86%
Therefore, male students in section B are approximately 42.86% more than female students in section B from both schools combined. Rounding to the nearest percent that is 40%.
Hence, the correct option is D.
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It is now 2016. Mouse, Inc., a calendar year S corporation, is owned equally by four shareholders: Mickey, Minney, Topolino, and Topolina. The corporation owns investment land that was purchased for 345,000 four years ago. On September 6 of the current year, when the land is worth $510,000, it is distributed to Topolino.
Assuming that Topolino's basis in his S corporation stock is $470,000 immediately before the distribution. What is Topolino's basis in the corporation's stock immediately after the distribution?
Select one:
a.
$125,000
b.
($40,000)
c.
$1,250
d.
$0
As it was a non-liquidating distribution of investment land worth $510,000 to Topolino, it reduces his stock basis by the same amount, resulting in a negative basis of ($40,000) after the distribution. The answer is (b) ($40,000).
The distribution of the investment land with a fair market value of $510,000 to Topolino is a non-liquidating distribution, which means that it reduces Topolino's stock basis by the amount of the distribution ($510,000).
Topolino's basis in the stock immediately after the distribution will be the sum of his basis in the stock before the distribution ($470,000) minus the amount of the distribution ($510,000), which results in a negative basis of ($40,000). The correct answer is (b) ($40,000).
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In order to afford a down payment how much would Jocelyn need to save each year for the next three years to save $4000?
Jocelyn would need to save $1333.33 each year with 7% interest.
To calculate how much Jocelyn needs to save for the down payment over the next three years, we first need to determine the total down payment required. If the down payment is stated as $4000, then that is the total amount needed.
Assuming that Jocelyn wants to make the down payment in three years, we can calculate how much she needs to save each year by dividing the total down payment by three:
$4000 / 3 years = $1333.33 per year
So Jocelyn would need to save approximately $1333.33 each year for the next three years in order to have enough for the $4000 down payment.
Correct Question :
JUST $4000 DOWN PAYMENT!
LOW 7% INTEREST RATE!
5 YEARS TO REPAY YOUR LOAN!
In order to afford the down payment, how much will Jocelyn need to save for each of the next three years
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In math questions answers each questions are solved with explanation. The questions are based from different topics. Care has been taken to solve the questions in such a way that students can understand each and every step.
1. Which is greater than 4?
(a) 5,
(b) -5,
(c) -1/2,
(d) -25.
Answer:
A is correctStep-by-step explanation:
The option that is greater than 4 is option (a) 5. This is because 5 is a positive value that is larger than 4. Option (b) -5 is a negative value that is less than 4. Option (c) -1/2 is also negative and less than 4. Option (d) -25 is the most negative option and therefore less than 4. So, the only option that is greater than 4 in this case is 5.
Answer:
a
Step-by-step explanation:
got it right on edge
HELP PLS
1st: Find the volume of the pyramid shown and round your answer to the nearest tenth.
2nd: Find the slant height x of the regular pyramid shown and round your answer to the nearest tenth.
3rd: Find the Surface Area of this Pyramid.
1. The volume of the pyramid = 12 mm³.
2. Slant height (x) x ≈ 4.3 mm
3. Surface area of square pyramid = 86.4 mm²
How to Find the Volume of a Square Pyramid?1. The volume of the pyramid (V) = 1/3*a²h, where:
a is the base edge = 3 mm
h is the height = 4 mm
Plug in the values:
The volume of the pyramid (V) = 1/3*3²*4 = 12 mm³.
2. Slant height (x) = √(1.5² + 4²)
x ≈ 4.3 mm
3. Surface area of square pyramid = 6bs + b² = 6(3)(4.3) + 3²
= 86.4 mm²
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PLEASE HELP THANK YOU HURRY FAST
The zeros of a polynomial function are given as,
x= 1 , x= 2, x= 3 and x= -3
Let the polynomial in standard form be,
y = ( x- 1)(x - 2)(x - 3)(x +3)
⇒ y = (x² - 2x - x +2)( x² - 3x +3x - 9)
⇒ y = (x² - 3x +2)(x² - 9)
⇒ y = x⁴ - 9x² - 3x³ + 27x + 2x² - 18
⇒ y = x⁴ - 3x³ -7x² + 27x -18
Hence option c is the correct answer.
The given cubic equation is ,
x³ +6x² +11x +6 = 0
Calculating its roots we get,
x³ +6x² +11x +6 = 0
⇒ (x +1)( x+2 )(x+ 3) = 0
Thus the roots are -1, -2, and -3
Hence all the roots are real and are of different values.
Hence option d is the correct option.
The given radical expression can be simplified as,
[tex]\sqrt[4]{625 x^8 y^{12} }[/tex] = 5[tex]x^{2} y^3[/tex]
Hence option a is the correct option.
We can simplify the given expression as,
[tex]27^{1/3}[/tex] = ∛27 = ∛(3³) = 3
Hence option d is the correct option.
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What is the area of this polygon on a coordinate plane?
Answer:
The area of this polygon is 14 square units.
Kaylie wants to see how metals can be combined. She found a problem to solve. Help her solve it! How many pounds of a metal containing 20% nickel must be combined with 6 pounds of a metal containing 80% nickel to form an alloy containing 60% nickel?
PLEASE HURRY AND SHOW YOUR WORK
A. 5 pounds
B. 4 pounds
C. 3 pounds
D. 2 pounds
Answer:
C. 3 pounds
Step-by-step explanation:
to use % as factors we need to represent them as what they are : parts of 100.
so, e.g. 20% = 0.2 and so on.
x = pounds of the metal with 20% nickel.
0.2x + 0.8×6 = 0.6×(x + 6) = 0.6x + 3.6
0.2x + 4.8 = 0.6x + 3.6
1.2 = 0.4x
x = 1.2/0.4 = 3
she needs to combine 3 pounds of metal with 20% nickel with 6 pounds with 80% nickel to get 9 pounds (3+6) of an alloy with 60% nickel.
Use the image to determine the direction and angle of rotation.
Graph of polygon ABCD in quadrant 2 with point A at negative 6 comma 5. A second polygon A prime B prime C prime D prime in quadrant 4 with point A prime at 6 comma negative 5.
90° clockwise rotation
90° counterclockwise rotation
180° counterclockwise rotation
270° clockwise rotation
The direction and angle of rotation include the following: C. 180° counterclockwise rotation.
What is a rotation?In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Furthermore, the mapping rule for the rotation of a geometric figure about the origin is given by this mathematical expression:
(x, y) → (-x, -y)
Coordinates of point A (-6, 5) → Coordinates of point A' = (6, -5)
In conclusion, this transformation rule (x, y) → (-x, -y) is used for the 180° rotation of a geometric figure about the origin in a clockwise or counterclockwise (anticlockwise) direction.
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Work out percentage change 20 from 50
Answer:
Therefore, the percentage change from 20 to 50 is an increase of 150%.
Step-by-step explanation:
To work out the percentage change from 20 to 50, we can use the following formula:
((New Value - Old Value) / Old Value) x 100%
Plugging in the numbers, we get:
((50 - 20) / 20) x 100%
= (30 / 20) x 100%
= 1.5 x 100%
= 150%