What past paper is this, can you please put a link to the question paper that this question came from :
danil, gabriel and hadley share some money in the ratios 3:5:9 the difference between the amount of money that gabriel receives and the amount of money that hadley receives is 196 euros. work out the amount of money that danil receives
Using proportions, considering the ratios, it is found that Danil receives 65.33 euros.
What is a proportion?A proportion is a fraction of a total amount.
Danil, gabriel and hadley share some money in the ratios 3:5:9. Hence, the fraction of the total amount that Danil and Hadley receive are given by:
[tex]D = \frac{3}{17}n[/tex]
[tex]H = \frac{9}{17}n[/tex]
The amount of money that hadley receives is 196 euros, hence the total amount is found as follows.
[tex]196 = \frac{9}{17}n[/tex]
[tex]n = \frac{196 \times 17}{9}[/tex]
n = 370.22.
Hence, the amount received by Danil is given by:
[tex]D = \frac{3}{17}n = \frac{3}{17} \times 370.22 = 65.33[/tex]
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What is the volume of the figure below if a = 4.3 units, b = 5.3 units, and c = 3 units?
a x a x c = 3.9 * 3.9 * 3 =45.6345.63 * 2 = 91.26a x b x c = 3.9 * 5.7 * 3 = 66.6966.69 + 91.26 = 157.95 cubic units
Hi, can you please help me answer this direct proportion question?
Somehow I keep getting it wrong and so I'd really appreciate some help. Please don't offer joke answers and possibly show me any workings out.
Thank you :)
Answer:
X = 100
Step-by-step explanation:
In proportion questions, they want you to multiply one of the sides by a variable, (i usually represent it with K) and then change the proportion sign to an equal.This is because proportional means they have a ratio between them, with one side increasing by "k" for each increase in the other side.Multiply the left by k, so [tex]y = \frac{k}{\sqrt{x} }[/tex]we know that y= 5, for x = 36, so sub this in the equation[tex]5 = \frac{k}{\sqrt{36} }[/tex]simplify[tex]5 = \frac{k}{6 }[/tex]re-arrange for k, k = 5*6 = 30now we know k, we can create the real equation, [tex]y = \frac{30}{\sqrt{x} }[/tex]sub in 3 as y[tex]3 = \frac{30}{\sqrt{x} }[/tex]x = 100Are the following functions exponential growth or decay?
Graphing Exponentials
a) f(x)=10(2)x
is this exponential growth? or exponential decay?
b) f(x)=2(0.5)x
is this a exponential growth? or exponential decay?
Answer:
a) growth b) decay
Step-by-step explanation:
In the function f (x) = b^x when b > 1, the function represents exponential growth.
In the function f (x) = b^x when 0 < b < 1, the function represents exponential decay.
a)b=2 > 1 this function growth
b)b=0.5 < 1 this function decay
Hannah made a table to show
the number of paragraphs in her
essays based on the number of
hours it took to write the essays.
Her data set is shown in the
table.
The equation of the line of best fit of Hannah's dataset represented by the graph is y = 1.25x - 1
How to determine the equation of the line of best fit?From the given figure, we have the following points on the line of best fit:
(x,y) = (2,1.5) and (4,4)
Start by calculating the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{4 -1.5}{4 - 2}[/tex]
Evaluate the differences
[tex]m = \frac{2.5}{2}[/tex]
Divide
m = 1.25
The equation is then calculated using:
y = m(x - x₁) + y₁
So, we have:
y = 1.25(x - 2) + 1.5
Open the bracket
y = 1.25x - 2.5 + 1.5
Evaluate
y = 1.25x - 1
Hence, the equation of the line of best fit is y = 1.25x - 1
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8
300
60°
y
Find the value of y.
possible
An unusually wet spring has caused the size of a mosquito population in some city to increase by 6% each
day. If an estimated 230,000 mosquitoes are in the city on May 12, find how many mosquitoes will inhabit the
city on May 26. Use y = 230,000(1.06)* where x is number of days since May 12.
Answer:
about 520,000
Step-by-step explanation:
Following directions, we evaluate the equation by putting the value where the variable is and doing the arithmetic.
__
The value of x will be the number of days between May 26 and May 12. That value is ...
x = 26 -12 = 14
Then the number of mosquitos is estimated to be ...
y = 230,000(1.06^14) ≈ 520,008
About 520,000 mosquitos will inhabit the city on May 26.
_____
Additional comment
Typically, an "estimate" is one or two significant figures. So, 520,000 is a reasonable estimate. 520,008 has more precsision than can be justified.
The histograms below show the ages of dogs at four different shelters. For which set of data is the mean most likely greater than the median?
A bar graph has age on the x-axis and number of dogs on the y-axis. There is 1 dog that is 0 to 1 year of age; 4 dogs that are 2 to 3; 2 dogs that are 4 to 5; 0 dogs that are 6 to 7; 1 dog that is 8 to 9.
A bar graph has age on the x-axis and number of dogs on the y-axis. There are 0 dogs that are 0 to 1 year of age; 3 dogs that are 2 to 3; 4 dogs that are 4 to 5; 3 dogs that are 6 to 7; 0 dogs that are 8 to 9.
A bar graph has age on the x-axis and number of dogs on the y-axis. A bar graph has age on the x-axis and number of dogs on the y-axis. There are 0 dogs that are 0 to 1 year of age; 1 dog that is 2 to 3; 2 dogs that are 4 to 5; 4 dogs that are 6 to 7; 1 dog that is 8 to 9.
A bar graph has age on the x-axis and number of dogs on the y-axis. There are 2 dogs that are 0 to 1 year of age; 1 dog that is 2 to 3; 2 dogs that are 4 to 5; 1 dog that is 6 to 7; 2 dogs that are 8 to 9.
The set of data for which the mean is most likely greater than the median is the data given by first histogram.
How to identify skewed graph?A skewed distribution is a distribution having bias on one of the two sides (either left or right).
It is like leaning mountain on one side (left or right).
A left skewed graph have elongated tail on the left side of the main mountain like figure. The mountain like figure is after that elongated tail. It is also called negatively skewed graph.
This graph usually has mean < median < mode
A right skewed graph has elongated tail on the right side of the main mountain like figure. The mountain like figure is before that elongated tail. It is also called positively skewed graph. This graph usually has:
Mode < median < mean.
For this case, we can try to find the histogram which is right skewed because for right skewed graphs, the mean of the data is greater than the median.
For being right skewed, the histogram needs to be elongated on the right. The elongation on right means the perpendicular axis of the graph (the frequency) has lower and lower values in the right end of the graph.
So, the histogram, which has all values having approx lower frequencies on the right side than any other part of the histogram, has got its mean > median.
We're given these histograms:
Histogram 1:Age Frequency
0 - 1 years 1
2 - 3 years 4
4 - 5 years 2
6 - 7 years 0
8 - 9 years 1
Histogram 2:Age Frequency
0 - 1 years 0
2 - 3 years 3
4 - 5 years 4
6 - 7 years 3
8 - 9 years 0
Histogram 3:Age Frequency
0 - 1 years 0
2 - 3 years 1
4 - 5 years 2
6 - 7 years 4
8 - 9 years 1
Histogram 4:Age Frequency
0 - 1 years 2
2 - 3 years 1
4 - 5 years 4
6 - 7 years 1
8 - 9 years 2
The second and fourth histograms are symmetric, because of symmetric values on its either side of the mid value for 4-5 years old dogs' frequencies. Thus, they're not skewed.
The third histogram is negatively skewed because of high values on right side (the last values in the table belongs to bigger ages, and on the axis for age of dogs, by sign convention, the bigger ages will be on right to the smaller age values) than the smaller values, and smaller values are forming tail on left side. Thus, its negatively skewed distribution.
The first histogram has positively skewed distribution, since at the end, it has very small values and there is mountain like structure on the left side.
Thus, for this histogram, the median < mean is most likely to be happening. (we still use the word 'likely' since the data is not large enough to apply these approximations of mean and median and mode, as it works better for large data sets).
Thus, the set of data for which the mean is most likely greater than the median is the data given by first histogram.
The graph of the first histogram is attached below.
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Answer:
A. The first graph
Step-by-step explanation:
Got it right on an edge test
Have a nice day :)
If f(y-5)=3y²-4y-10, find f(2)
Answer:
29
Step-by-step explanation:
What we do here is that we plug in 2 here like a puzzle.
f(2-5) = f(-3)
So, when we plug in 2 to the function, we get a f(-3)
Nowe take f(-3)
= 3(-3)²-4(-3)-10
= 3(9)+12-10
= 27+12-10
= 29
state the slope of the line perpendicular to the line -2x+5y=12
Answer:
- 5/2
Step-by-step explanation:
Arrange this line equation into y = mx + b form m = slope
y = 2/5x + 12/5
then perpindicular line = - 1/m = - 1/ (2/5) = - 5/2
Your local garden shop has plants on sale for $1.50 each. You are planning a vegetable
garden. You have $20 to spend on tomato plants
a.) write an inequality to find the greatest number of plants you can buy.
60 points please helppp
The inequality that can be used to find the greatest number of plants you can buy is p ≤$20 / 1.50.
What inequality can be used to find the greatest number of plants you can buy?Here are inequality signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The inequality sign that would be used in this question is ≤.
(cost of plant x number of plants) ≤ total spending money
$1.50p ≤ $20
p ≤ $20 / 1.50
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Find the volume of this rectangular prism.
6 cm
16 cm
1 cm
Answer:
The answer is 96
Step-by-step explanation:
Just write (16 x 6) x 1 = v and solve it by doing 16 x 6 and the answer would be 96 cm for the volume.
Can someone please give me the (Answers) to this? ... please ...
I need help….
_____________________________________
AnswerS :
1. Tan Z = p / b = 21/28
2. Cos C = b / h = 16 / 34 = 8/17
3. Sin C = p/ h = 28/35
4. Tan X = p / b = 32/24 = 16 / 12
5. cos A = b / h = 30/34 = 15 / 17
6. Sin A = p / h = 32/40 = 16/20
7. sin Z = p / h = 24 / 40 = 12 / 20
8. sin C = p / h = 14 / 50 = 7 / 25
RemembeR :
Sin θ = Perpendicular / HeightCos θ = Base / Height Tan θ = Perpendicular / Base- HappY LearninG (≧▽≦)
__________________________________
SOHCAHTOA is an acronym for the formula
Sin= Opposite/hypothenuse
cos= adjusent/ hypothenuse
tan=opposite/adjusent
After u found the ratio u use inverse- put it in ur calculator then u get the answer
i answered one question- so u see how to solve
sin C = AB/??
BA
AC
BC
AB
Answer:
Step-by-step explanation:
I’m sooo confused please help me
18π
Step-by-step explanation:
so first you need to find the area of both semi- circles. To do this you will use the formula 1/2πr^2 since it is half the area of a circle.
So for the smaller semi circle you do 1/2×π×8^2 to get 32πcm^2.
Now for the large semicircle you do 1/2×π×10^2 to get 50πcm^3.
Now you take 50π from 32π to get just the area of the shaded region.
This is 18π or 56.55cm^2
surface area of this right prism
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textsf{Let's calculate the surface area of given right prism} [/tex]
[tex] \textbf{Area of Triangles :} [/tex]
[tex] \sf{\dfrac{1}{2}\cdot 16\cdot 12} [/tex][tex] \sf{8×12} [/tex][tex] \sf96 \: \: cm {}^{2} [/tex][tex] \textsf{Since there are two triangles, } [/tex]
[tex] \textsf{Area of Triangles = 96 × 2 = 192 cm²} [/tex]
[tex] \textbf{Now, calculate the Areas of rectangles :} [/tex]
[tex] \textsf{Area - 1 = 12 × 10 = 120 cm²} [/tex][tex] \textsf{Area - 2 = 16 × 10 = 160 cm²} [/tex][tex] \textsf{Area - 3 = 20 × 10 = 200 cm²} [/tex][tex] \textsf{Now add them all :} [/tex]
[tex] \textsf{120 + 160 + 200 + 192} [/tex][tex] \textsf{672 cm²} [/tex]
Answer:
Step-by-step explanation:
(16+12+20)*10+16*12= 48*10+192+480+192=672 c.m. squared
Please help me with this math problem!! :) Will give brainliest!!
Answer:
Your answer is x=-13/3
Step-by-step explanation:
RS and QT are equal knowing this your equation would be x=4x+13. you get -3x=13 when 4x get cancelled out, divide both side by 3 and you get -13/3
1. A triangular garden is being formed with stones. The three sides measure 4 meters
by 6 meters by 7 meters. Which of the following is a true statement about the side
lengths of the triangle?
A The side lengths will nptform a triangle because 6 + 4 > 7
B. The side lengths will form a triangle because 4 + 6+ 7
C. The side lengths will not form a triangle because 7 + 4 < 6
D. The side lengths will form a triangle because 6 + 7 > 4
Answer:
The side lengths will form a triangle because 6+4 > 7
Step-by-step explanation:
For side lengths, the two smallest sides (ex. 6 and 4) must have a greater sum than then highest side length. Since 6+4 is greater than 7, it creates a triange. If it would have been 5+2 it would not have worked because it needs to be greater than, not less than or equal to.
During a sale, a store offered a 15% discount on a TV that originally sold for
$540. After the sale, the discounted price of the TV was marked up by 15%.
What was the price of the TV after the markup? Round to the nearest cent.
0.765 (100) + .06 (.0765 x 100)
76.5 + .06 (76.5)
76.5 + 4.59 = 81.09 Chris will pay $81.09
A better way ( if you don't care to know the tax just the bottom line of what it will cost) would be to do:
0.765x x 1.06 = 76.5 x 1.06 = $81.09 too.
Why the 1 in front of the .06? The one includes the price of the coat so you don't have to add the tax on after.
Think about it like this. When you buy something you pay (even with an employee
discount) for all of it (100%) + the tax (in this case, it's 6%) So you pay 106% of the cost of the item. 106% = 1.06
Solve for x 10(2x-4)=100x
A.x=7
B. x=3
C.x=1/2
D.x=-1/2
Answer:
The value of x = -1/2
Step-by-step explanation:
=> 10(2x-4)=100x
=> 20x - 40 = 100x
=> -40 = 100x - 20x
=> -40 = 80x
=> -40/80 = x
=> -1/2 = x
In the function y = 4x + 3, what is the value of the dependent variable if the value of the independent variable is 3?
What is the line of the equation PARALLEL to the line y=3x+4 and through the y-intercept of -6?
Answer:
y = 3x - 6
Step-by-step explanation:
The line here is parallel
Slope remains the sameY-intercept is now -6Equation of line
y = mx + c [where m = slope and c = y-intercept]y = 3x - 6A 15-foot ladder is set up 5 feet from the base of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot
Answer:
20 feet up
Step-by-step explanation:
its quite simple really, just add 15+5 and you get 20
Question 1
4 pts
Rewrite each equation so that the expression on one side could be graphed and the x-
intercepts of the
graph would show the solutions to the equation.
a. 3r? = 81
b. (x-1)(x+1)-9=5x
Cr? - Sx + 10 = 32
d. 6x(x-8)=29
The equations will be re-written such that the expression on one side can be graphed and the x-intercepts of the graph would indicate the solution.
What are the re-written equations?A) 3X² = 81
Rewritten, we have 3X² - 81 = 0
This is also = 3(X² - 27) = 0
B) (X - 1)(X + 1) - 9 = 5X
Open the brackets and we have X² - 1 - 9 - 5x = 0
Simplified, we have X² - 5X - 10 = 0
C) X² - 9x + 10 = 32
Collect like terms and we have:
X² - 9X - 22 = 0
D) 6x(x - 8) = 29
Expand the bracket and collect like terms such that the equation is equal to zero and we have
6X² - 48x - 29 = 0
Using Desmos Graphing, the following results can be obtained showing that x intercepts at:
(a) (-5.196, 0) & (5.196, 0)
(b) (-1.531, 0) & (6.531, 0)
(c) (-2, 0) & (11, 0)
(d) (-0.564, 0) & (8.564, 0)
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There are 5 white pencils and 6 red pencils in a box. One pencil is selected at random and not replaced. Another pencil is randomly selected from the remaining pencils. Determine whether this event is independent or dependent. Explain your answer.
A. Independent; the first pencil does not affect the sample space for the second one.
B. Independent; there are fewer pencils to choose from the second time.
C. Dependent; the first pencil does not affect the sample space for the second one.
D. Dependent; there are fewer pencils to choose from the second time.
Answer:
D
Step-by-step explanation:
You have 5 + 6 pencils, which is 11 pencilsThe probability you will get white is 5/11Prob you get red is 6/11If you pick up a pencil and do not replace it, you now only have 10 pencils leftThe prob you get a red or a white is dependent on what you picked up firstA triangular prism. The rectangular sides are 6 centimeters by 10 centimeters, 10 centimeters by 5 centimeters, and 10 centimeters by 5 centimeters. The 2 triangular bases have a base of 6 centimeters and height of 4 centimeters.
What is the surface area of the triangular prism shown?
32 square centimeters
120 square centimeters
184 square centimeters
1,560 square centimeters
\
Answer:
d
Step-by-step explanation:
What is the area of this figure?
Answer:
58.5
Step-by-step explanation:
x - 9y = -19 What is thr slope intervept form and answer
Answer:
[tex]y=\frac{1}{9}x+19/9[/tex]
Step-by-step explanation:
First get y by itself.
[tex]x-9y=-19\\-9y=-x-19\\[/tex]
Then variable y itself
[tex]y=(-x-19)*-1/9\\y=\frac{1}{9}x+19/9[/tex]
1. Which indicates the dilation of a figure in the coordinate plane?
A. (x,y) —> (kx,ky)
B. (x,y) —> (-y,x)
C. (x,y) —> (-x,-y)
D. (x,y) —> (x+h,y+v)
Answer:
A. [tex](x,y)[/tex] ⇒ [tex](kx, ky)[/tex]
Step-by-step explanation:
Because that's the dilation equation or formula
Two frisbees (circular flying discs: small and large) are used for two games. In game 1, the large disc is used and has a diameter of 27.3 cm. In game 2, the small disc is used and has a diameter of 22.5. The circumference of the flying disc for the first game is how many centimeters greater than the circumference of the flying disc used for the second game, to the nearest centimeter? Use 3.14 for \piπ.
Answer:
15 cm (to the nearest cm)
Step-by-step explanation:
Circumference of a circle = πd (where d is the diameter)
Large disc
diameter (d) = 27.3 cmπ = 3.14⇒ circumference = 3.14 × 27.3 = 85.722 cm
Small disc
diameter (d) = 22.5 cmπ = 3.14⇒ circumference = 3.14 × 22.5 = 70.65 cm
Difference between circumferences
= circumference of large disc - circumference of small disc
= 85.722 - 70.65
= 15.072
= 15 cm (to the nearest centimeter)