Answer:
[tex]d = 2.5r[/tex] and [tex]r = \frac{d}{2.5}[/tex]
Step-by-step explanation:
Given
5 daises to 2 roses
Required
Determine the relationship between them
The question shows a direct proportion between number of daises and roses.
i.e.
[tex]d\ \alpha\ r[/tex]
Where d = daises and r = roses
Convert the above expression to an equation
[tex]d = kr[/tex]
Make k the subject
[tex]k = \frac{d}{r}[/tex]
When d = 5 and r = 2;
[tex]k = \frac{5}{2}[/tex]
[tex]k = 2.5[/tex]
So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr
So:
[tex]d = 2.5 * r[/tex]
[tex]d = 2.5r[/tex] ----------- (1)
Make r the subject in (1)
[tex]r = \frac{d}{2.5}[/tex] ------------------------(2)
Hence, the relationships between d and r are:
[tex]d = 2.5r[/tex] and [tex]r = \frac{d}{2.5}[/tex]
A sociologist polled a random sample of people and asked them their age and annual income. The two-way frequency table below shows the results. Annual income vs. age group Less than $50,000 At least $50,000 Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132 Total 186 162 348 Which of the following statements is true of those polled? Choose 1 answer: А A person with an annual income of less than $50,000 is more likely to be 45 years old or above. B A person in the 44 and under age group is more likely to to have an annual income of at least $50,000
Answer:
C A person with an annual income of at least \$50{,}000$50,000dollar sign, 50, comma, 000 is more likely to be 454545 years old or above
A person in the 44 and under age group is more likely to have an annual income of at least $50,000 is a correct statement.
We have given that,
A sociologist polled a random sample of people and asked them their age and annual income.
What is the annual income?
annual income is the amount of money you receive during the year into your bank account, before any deductions.
The two-way frequency table below shows the results.
Annual income vs. age group Less than $50,000 At least $50,000
Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132
Total 186 162 348
A person with an annual income of at least
[tex]=\$50000\\=$50,000dollar[/tex]
Therefore statement b is true.
A person in the 44 and under age group is more likely to have an annual income of at least $50,000.
To learn more about the annual income visit:
https://brainly.com/question/6070671
#SPJ2
Two triangles have the same height. The base of one
triangle is twice that of the other. Find the difference in
their areas.
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
They both have same height,
let the height of both triangles be = x
let the base one triangle = y
then the base of another trainlgle = 2y
Area of triangle = 1/2 X B X H
Area of Triangle 1
[tex] \frac{1}{2} \times y \times x \\ = > \frac{xy}{2} [/tex]
Area of Triangle 2
[tex] \frac{1}{2} \times 2y \times x \\ = > \frac{2xy}{2} \\ = > xy[/tex]
Difference in the area =
[tex]xy - \frac{xy}{2} \\ = > \frac{2xy - xy}{2} \\ = > \frac{xy}{2} [/tex]
Hence Area of Triangle 1 is half the area of Triangle 2
Difference of 1/2 area.
Answer:
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}∣ANSWER∣
They both have same height,
let the height of both triangles be = x
let the base one triangle = y
then the base of another trainlgle = 2y
Area of triangle = 1/2 X B X H
Area of Triangle 1
\begin{gathered} \frac{1}{2} \times y \times x \\ = > \frac{xy}{2} \end{gathered}21×y×x=>2xy
Area of Triangle 2
\begin{gathered} \frac{1}{2} \times 2y \times x \\ = > \frac{2xy}{2} \\ = > xy\end{gathered}21×2y×x=>22xy=>xy
Difference in the area =
\begin{gathered}xy - \frac{xy}{2} \\ = > \frac{2xy - xy}{2} \\ = > \frac{xy}{2} \end{gathered}xy−2xy=>22xy−xy=>2xy
Hence Area of Triangle 1 is half the area of Triangle 2
Difference of 1/2 area.
[/tex]
Step-by-step explanation:
side it
siso,;-):-(
Joseph recently noticed that this time next year he will be twice as old as Jasmine. I couldn't help noticing that when I am 66 at this time of the year the combined future ages of Joseph and Jasmine will also be 66. Also, 6 years from now my future age will be a multiple of the sum of Joseph and Jasmine's future ages. Of course, all ages are non-negative integers. How old. are Joseph Jasmine, and I now?
I have 1373/1000 Points, and 10/10 brainiest. Why am I not leveling up to Expert?
Answer:
some thing is broken man
Step-by-step explanation:
Please help me with this problem!!! I have been trying to figure it out for the past hour and I still can’t figure it out. Thanks for your help and have a nice day!!!
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[tex] \frac{ {6}^{8} \times {6}^{3} }{ {6}^{5} } = \\ [/tex]
[tex] \frac{ {6}^{8 + 3} }{ {6}^{5} } = \\ [/tex]
[tex] \frac{ {6}^{11} }{ {6}^{5} } = \\ [/tex]
[tex] {6}^{11} \times {6}^{ - 5} = [/tex]
[tex] {6}^{11 - 5} = [/tex]
[tex] {6}^{6} [/tex]
Thus ;
[tex] {6}^{[6]} \\ [/tex]
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If m = 50, what is the value of the expression below?
0.44m + 23
A. 22
B. 45
C. 67
D. 117
SHOW YOUR WORK PLZSSSSSSSS
Answer:
B. is your answer dear
Step-by-step explanation:
0.44*50+23
22+23 = 45
hope you got it.
Heyy, I REALLY need help on this
Answer:
ABC is a right angled triangle
BCD is also a right angled triangle
ABD is a scalene triangle
9514 1404 393
Answer:
∆ABC ~ ∆BDC ~ ∆ADB
Step-by-step explanation:
The given triangle is named using the largest acute angle vertex (A) first, followed by the right angle vertex (B), then the remaining vertex (C). Using that same order, the triangles, largest-to-smallest are ...
∆ABC ~ ∆BDC ~ ∆ADB
Pls help with this question
Answer:
Opposite sides are congruent
Step-by-step explanation:
First off the equals sign with the wave over it means congruent. It wouldn't be either answer with diagonals because the segments that are congruent are sides of the parallelogram not diagonals. Next even though the congruent sides are parallel by providing the information (AB being congruent to CD and AD bring congruent to CB) opposite are parallel wouldn't be the answer because of what you are given.
Sorry if its wordy I hope this helps : )
Please help me answer number 12
Answer:
It is same.
The PS and RS leg which has the same length allow the use of HL by providing the same degree of angle.
Thank you and please rate me as brainliest as it will help me to level up
What is the domain and range please?
Answer:
domain is all the values that go into a function, and the range is all the values that come out.
Answer:
Domain: -6 <= x <= 3 and Range -9 <= y <= 5
Step-by-step explanation:
Domain is x
Range is y
(x, y)
The smallest x is -6
The largest x is 3
The smallest y is -9
The largest y is 5
(05.01)
The graph of a system of equations with the same slope and the same y-intercepts will
have no solutions. (1 point)
O Always
Sometimes
O Never
Help ASAP
Answer:
Always
Step-by-step explanation:
Answer:
never.
Step-by-step explanation:
I will give brainliest! Please help!!
Describe the products made by the process of cellular respiration.
Step-by-step explanation:
The product is carbon dioxide and water
A rectangular lawn 4m by 10m has a garden of uniform width added to one end. Then, along the combined side length of the lawn and garden , another garden is added, whose width is twice that of garden . The total area of the lawn and both gardens is 72 m2
Answer and explanation:
A rectangle's width is longer than the length
And so given a rectangular lawn 4m by 10m,
the width of the lawn= 10m
the length of the lawn= 4m
If a garden of uniform width is added, then garden's width = 10m
The garden of uniform width is added to the width side of the rectangular lawn( since along the combined side length of the lawn and garden, another garden is added)
The garden added to the combined side length of the lawn and garden has width twice that of the garden = 2*10= 20m
Given that total area of the lawn and two gardens = 72m²
Total area of lawn and 2 gardens(Area of rectangle(lawn+2 garden's)) is length * width
= 4*10+ 10*x+ 20*y=72
Therefore equation for total area of lawn and both gardens is 40+10x+20y=72
Where x is length of second garden attached to the width side of the lawn and y is length of the garden attached to the combined length side of the lawn and first garden
x can be solved
40+10x+20y=72
10x+20y=72-40
10x+20y=32
10x=32-20y
x=32-20y/10
Y can be solved
40+10x+20y=72
10x+20y=72-40
10x+20y=32
20y=32-10x
y=32-10x/20
3. Multiply and simplify: (4x + 3)(x - 1)
Answer =
Answer: = 4x² - x - 3
(4x+3)(x -1 ) = 4x² + 3x - 4x - 3 = 4x² - x - 3
Step-by-step explanation:
4. x =
a. 20°
b. 240
C. 28°
(5x)
120°
d. 30°
An exterior angle equals the sun of the two opposite inside angles:
5x = 120 + x
Subtract 1 x from both sides:
4x = 120
Divide both sides by 4:
X = 30
The answer is D. 30
Help me Please
The boy scouts are selling popcorn for $25 a bag. They have already sold $525 worth and want to make at least $5750. Write an inequality to find the least number of bags of popcorn they need to sell to reach their goal. How many bags is that?
Answer:
B ≥ 209
Step-by-step explanation:
This is the equation - 25b + 525 ≥ 5750 .
Comment if I solved it incorrectly ;-;
Kayla has a older sister and a younger sister. her older sister is one year more than twice Kayla's age. Kayla's younger sister is three years younger than she is. the sum of their ages is 26. find Kayla's age
Answer:
x= kaylas age
older sister: 2x+1
younger sister: x-3
x+2x+1+x-3=26
4x-2=26
4x=28
x=7 years old
Step-by-step explanation:
Express Jenny's age in terms of a if jenny is three years less than half of Anne's age
Express Fraz's age in terms of a if Fraz is twice the sum of Anne's age and 7
which equation repersent functions?
2x+3y=10
4x=16
2x-3=14
3y=18
14.6=2x
Answer:
y= (-2/3)x+10/3 is a function
3y=18 is a function
Step-by-step explanations
in both cases for each input x there is exactly one output y
The following graph represents the cost and revenue functions for custom-made computers. How many computers
have been sold at the break-even point?
a 12
b 9
C 5
d. 0
Answer:
A. 12
Step-by-step explanation:
what is 9.8846387057 to the nearest whole number
Answer:
10
Step-by-step explanation:
The . 8 would round up making the 9 a 10
So the answer is ten
Answer:how many total ounces are in this container?
Step-by-step explanation:
y-2=-(x-7) slope intercept form
Answer:
y= -x+9
Step-by-step explanation:
PLEASE MARK BRAINLIESTA train freight car weighs 25 tons when empty. A conveyor belt pours coal into the car at a constant rate of 1/3 ton per minute until it is full.
The dump truck (Refer to problem 8) weighs 55 tons when filled. At the same time the freight car is being filled, an identical freight car filled
to capacity is being emptied at a rate of 1/6 ton per minute.
How long, in minutes, until the freight cars are the same weight?
The tucks will weigh the same in
minutes.
How much coal will be in each truck when they weigh the same?
There will be
tons of coal in each truck.
Step-by-step explanation:
Step one:
mass of Freight car=25tons
the rate of filling is 1/3 ton per minute
let the time taken to fill the freight car be x
and the total mass after x minute be y
Hence the mass as a function of time is expressed as
y=25+1/3x----------1
mas of dump truck=55tons
rate of being emptied= 1/6 tons per minute
let the time taken to empty the dump truck be x
and the total mass after x minute be y
Hence the mass as a function of time is expressed as
y=55-1/6x----------2
Step two:
equating equations 1 and 2,
1. The tucks will weigh the same in
55-1/6x=25+1/3x
collect like terms
55-25=1/3x+1/6x
30=(2+1/6)x
30=3/6x
30=1/2x
30=0.5x
x=30/0.5
x=60min
or
1 hour
The tucks will weigh the same in 60minutes(1 hour)
2. How much coal will be in each truck when they weigh the same?
For the train freight car, the weight after 60 minutes is
y=25+1/3(60)
y=25+20
y=55tons
55-25=20tons
There will be 20tons
For the dump truck, the weight after 60 minutes is
y=55-1/6(60)
y=55-10
y=45tons
55-45=10tons
There will be 10tons
Write the word sentence as an equation. Then solve. The sum of a number y and −3 is −8.
need asap
Answer:
y + (-3) = -8
Step-by-step explanation:
i just know
pls mark branliest
What is sin45°*sin30°*cos60°
Answer:
[tex]\frac{\sqrt{2} }{8}[/tex]
Step-by-step explanation:
Using the exact values of the given trig functions, then
sin45° × sin30° × cos60°
= [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{\sqrt{2} }{8}[/tex]
solve the equation
pls help
plss show the work
6 − 4v = 3 − v
Answer: = 1
Step-by-step explanation: 6−4v=3−v
Step 1: Simplify both sides of the equation.
6−4v=3−v
6+−4v=3+−v
−4v+6=−v+3
Step 2: Add v to both sides.
−4v+6+v=−v+3+v
−3v+6=3
Step 3: Subtract 6 from both sides.
−3v+6−6=3−6
−3v=−3
Step 4: Divide both sides by -3.
−3v
−3
=
−3
−3
v=1
Answer:
v=1
Answer:
V=1
Step-by-step explanation:
6 - 4v = 3 - v
move the varible
6 - 4v + v = 3
collect like terms
-3v = 3 - 6
divide both sides by -3
V = 1
Which function represents the area with respect to time?
PLEASE HELP!!!!! 2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)? 30 points if you can help
Answer:
22 units.
Step-by-step explanation:
We want to find the perimeter of the polygon with vertices at: (-3, 1); (5, 1); (-3, 4); and (5, 4).
Let’s first plot the points and see what polygon we acquire. Please refer to the graph below.
As we can see, when plotting the points and connecting them, we get a rectangle.
So, we can use the perimeter formula for a rectangle, given by:
[tex]P=2(\ell+w)[/tex]
Where [tex]\ell[/tex] Is the length and [tex]w[/tex] is width.
Remember that the perimeter is simply the distance around the figure.
So, let’s find the length. We can do so by counting or by subtracting.
By counting, we can see that the length (longer side) is 8 units.
And by subtracting, we get the same length of |5-(-3)| or 8 units.
We use absolute value because distance is always positive.
Using the same process, we find the width to be 3 units.
Using subtract, we can see that this is indeed true as |1-4|=3.
So, we can now substitute the values into our formula:
[tex]P=2(8+3)[/tex]
Evaluate:
[tex]P=2(8+3)=2(11)=22\text{ units}[/tex]
So, the perimeter of the polygon is 22 units.