Answer:
almost 567 students
Step-by-step explanation:
all fruits = 23+18+34+27+18 = 120
possibility of selecting an orange as favourite fruits by one student = 34/120 = 17/60
possibility of selecting an orange as favourite fruits by 2000 students = 17/60×2000 =1700/3 = 566.6666...=567 students
Solve by the elimination method. [tex]4x+8y=40\\-4x+y=14[/tex]
Answer:
[tex]x=-2,y=6[/tex]
Step-by-step explanation:
We can add these 2 equations together to eliminate [tex]x[/tex] from the equation, leaving us to solve for [tex]y[/tex].
[tex](4x+8y) + (-4x+y) = (40) + (14)\\9y = 54\\\boxed{y = 6}[/tex]
Now we can solve for [tex]x[/tex] through substituting [tex]y[/tex].
[tex]4x+8y=40\\4x+8(6)=40\\4x+48=40\\4x=-8\\\boxed{x=-2}[/tex]
We can check our answers by substituting [tex]x[/tex] and [tex]y[/tex] into one of the equations and seeing if the equation is true.
[tex]-4x+y=14\\-4(-2)+6=14\\8+6=14\\14=14[/tex]
LHS = RHS so our answers are correct.
Two hoses A and B together fill a swimming pool in two hours. A does it by herself in three hours less than B. Calculate how many hours it takes each to fill the pool.
If hose A takes x hours to fill the pool, hose B will take x+3 hours to fill the pool. So, each hour, A will fill [tex]\bf{\dfrac{1}{x}}[/tex] parts of the pool and B will fill [tex]\bf{\dfrac{1}{x+3}}[/tex] parts. Since using both hoses fills the pool completely, you have to:
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ 1= \frac{1}{x}+\frac{1}{x}+\frac{1}{x+3}+\frac{1}{x+3} } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ =\frac{2}{x}+\frac{2}{x+3} } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ =\frac{2x+2x+6}{x(x+3)} } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ x^2+3x=4x+6\ \Longrightarrow\ \ 0=x^2-x-6=(x-3)(x+2) } \end{gathered}$}[/tex]
Hose A takes 3 hours to fill the pool and Hose B takes 6 hours.
Express your answer in simplest a+ bi form. (8+5i)(3+2i)-(4+i)(4-i)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \:(8 + 5i)(3 + 2i) - (4 + i)(4 - i)[/tex]
[tex]\qquad \sf \dashrightarrow \:[( 8 \sdot3) + (8 \sdot2i) + (5i \sdot3) + (5i \sdot2i)] -[( 4 \sdot4) + (4 \sdot - i) + (i \sdot4) + (i \sdot - i)][/tex]
[tex]\qquad \sf \dashrightarrow \:[24+ 16i + 15i+ 10i {}^{2} ] -[16 - 4 i+ 4i - i {}^{2} ][/tex]
[tex]\qquad \sf \dashrightarrow \:[24+ 31i+ 10 {}{( - 1)} ] -[16 - ( - 1){}^{} ][/tex]
[tex]\qquad \sf \dashrightarrow \:[24+ 31i - 10 {}{} ] -[16 + 1{}^{} ][/tex]
[tex]\qquad \sf \dashrightarrow \:[14+ 31i {}{} ] -[17{}^{} ][/tex]
[tex]\qquad \sf \dashrightarrow \: - 3+ 31i {}{} [/tex]
I hope you understood the procedure ~
Match the graph to the correct inequality
X≥-3
X<-3
X≤ 3
X> -3
Answer: Choice A) x ≥ -3
Reason:
The graph has a closed filled in circle at -3, which means we include this value. So we'll have "or equal to" as part of the inequality sign.
We'll also have "greater than" because we're shading to the right.
Hence, we have "greater than or equal to".
Put another way, x = -3 or x > -3 are two possibilities.
If the endpoint at -3 was an open hole, then we'd exclude the endpoint and go for x > -3 instead of x ≥ -3
Answer:
X≥-3
Step-by-step explanation:
Inequalities represent a range of values, rather than a single value.
Let us consider the inequality
x > - 3
This would mean can be any value greater than -3, not including -3.
This is represented by a line starting from -3 and extending indefinitely (marked by an arrow head). Note that at -3, there is a small empty circle which represents that -3 is not included.
In case the inequality was
x > -3
It would mean that -3 has also been included.
In case you can't draw on the number line, you can also show the range just above the number.
Franklin has delivered 26 newspapers and
can deliver 9 newspapers in an hour.
Michael has delivered 5 newspapers and can
deliver 12 newspapers in an hour. How
many hours (h) will Michael take to deliver
as many newspapers (n) as Franklin?
n = 9h+26
n = 12h + 5
[?] hours
Using linear functions, it is found that it will take 7 hours for Michael to deliver as many newspapers as Franklin.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The linear functions that give the amounts for Franklin and Michael after h hours are given by:
F(h) = 26 + 9h.M(h) = 5 + 12h.They will be equal when:
F(h) = M(h)
Hence:
26 + 9h = 5 + 12h
3h = 21
h = 7
It will take 7 hours for Michael to deliver as many newspapers as Franklin.
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In circle P, diameter QS measures 20 centimeters.
Circle P is shown. Line segment Q S is a diameter. Line segment R P is a radius. Angle R P S is 123 degrees.
What is the approximate length of arc QR? Round to the nearest tenth of a centimeter.
9.9 centimeters
19.9 centimeters
21.5 centimeters
43.0 centimeter
The approximate length of arc QR to nearest tenth is 9.9cm
Length of an arcThe formula for calculating the length of an arc is expressed as:
L = r theta
where
r is the radius of an arc = 20cm/2 = 10cm
theta = 180 - 123 = 57 degrees
Determine the length of an arc
L = 10(57π/180)
L = 57π/18
L = 9.94cm
Hence the approximate length of arc QR to nearest tenth is 9.9cm
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Answer:
9.9
Step-by-step explanation:
help me now!! help help help
Step-by-step explanation:
sum of interior angle sum of each angle
1) 720 120
2)360 90
3)540 108
(2)
a) a=360-90-90-122
a=58
b) b=360-100-95-35
b=130
c) c=720-140-110-110-125-139
c=105
d) 2d=540-80-90-90
2d=280
d= 140
3) 5(360/5)
=360
4) y=90+90-122
y=58
x=360-117-66-58
x=119
Congruent or not congruent
Your credit limit is $1,000. What is the max you should ever owe on this card?
= $
Answer:
see the attachment photo!
You're ordering a sandwich at the local deli, below is a tree diagram of the possible orders. What is the probability that your sandwich has turkey AND swiss cheese?
Answer:
Step-by-step explanation:
1. So there is two bread options but let's ignore that due every option being the same for both bread options.
2. So if you look there are three meat options meaning there is a one in three chance logical chance someone picks turkey (note when I say logical I mean that doesn't mean that this will be true in real life) and there is a one in two logical chance someone picks Swiss cheese.
3. So with a one in three chance logical meat option and a one two chance cheese option and.
4. Now knowing this it is simple math at this point as simple as [tex]\frac{1}{3}[/tex] x [tex]\frac{1}{2}[/tex]
5. 1 x 1 = 1 and 3 x 2 = 6
6. leading to [tex]\frac{1}{6}[/tex]
In order to go on the field trip, you must accrue 75 positive
behavior points. you found out that you have 45% of the
points necessary to go. how many points do you have? use the
variable, p, for your equation.
what is the equation?
Answer:
Equation 75 X .45 = P
P = 33.75
A study was conducted about the number of miles that a sample of automobiles in New York City drive within a year. The sample was taken in front of an apartment complex and included 20 taxicab drivers and 40 of the building’s residents. Which is a reasonable explanation for the large gap in the histogram?
The histogram includes data from a voluntary response sample which is not representative of the population.
How to interpret Histograms?
A histogram is a chart that represents numerical data using bars. The dataset is split into intervals, each interval is represented by a bar, and the number of variables in each interval makes up the frequency for that interval.
From the histogram attached, we can see that there is a huge gap from around 17000 miles to 32500 miles.
Now, when we have this kind of gap it means that the histogram includes data from a voluntary response sample which is not representative of the population.
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how many solutions does 10x - 10= -10x + 10
Question in the picture 1-5
how to understand next steps what will be anyone give me explains
Step-by-step explanation:
remember a few things :
a × -1 = -a
-a × -1 = a
-1 × -1 = 1
1 × a = a
therefore,
-1 × -1 × a = 1 × a = a
and finally
c × (a + b) = c×a + c×b
so, we can say
(1 - 5) = -1 × -1 × (1 - 5) =
= -1 × (-1×1 + -1×-5) = -1 × (-1 + 5) =
= -1 × (5 - 1) = -(5 - 1)
Clare makes a pattern of shapes each shape in the pattern is 1 unit longer and 1 unit taller than the shape before it which picture could show the first three shapes in Clare pattern?
Answer:
triagle
Step-by-step explanation:
it is tringle because because this pattern other is tall and other is short it gona be isocelese triagle
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
[tex]x = \dfrac{\sqrt{22}}{2}[/tex]
Step by step explanation:
[tex]\text{This is an isosceles right triangle}~ \left(45^{\circ} - 45^{\circ} - 90^{\circ}\right).\\\\\text{Apply Pythagorean theorem,}\\\\~~~~~~\left(\sqrt{11}\right)^2 =x^2 +x^2 \\\\\implies 11 = 2x^2 \\\\\implies x^2 = \dfrac{11}2\\\\\implies x = \sqrt{\dfrac{11}{2}}\\\\\implies x = \dfrac{\sqrt{11}}{\sqrt 2}\\\\\implies x = \dfrac{\sqrt{11}\sqrt 2}{2}\\\\\implies x = \dfrac{\sqrt{22}}{2}[/tex]
Based on your experience, the probability of you scoring a goal in a hockey game is 33.3%. How many goals would you likely score in 12 games?
You would likely score 4 goals in 12 games
How to determine the number of goals?The given parameters are:
Probability, p =33.3%Total number of goals = 12The expected number of goals is calculated as:
E(x) = p * Total
This gives
E(x) = 33.3% * 12
Evaluate
E(x) = 4
Hence, you would likely score 4 goals in 12 games
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( 12y + 2x) + 4y simplify the expression
Answer:
[tex]2x+16y[/tex]
Add [tex]12y[/tex] and [tex]4y[/tex].
[tex]2x+16y[/tex]
Answer:
2x + 16y
Step-by-step explanation:
The y terms can be added together. 12y + 4y is 16y. The 2x has to just stay the way it is because it could only be added to another x term and there aren't any. So you are left with 2x + 16y
Bo is flying a kite, holding his hands a distance of 3.5 feet above the ground and
letting all the kite's string play out. He measures the angle of elevation from his hand
to the kite to be 29°. If the string from the kite to his hand is 110 feet long, how many
feet is the kite above the ground? Round your answer to the nearest tenth of a foot if
necessary.
The height of the kite will be 53.32 feet above the ground.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
The boy is flying a kite, holding his hands a distance of 3.5 feet above the ground andletting all the kite's strings play out. He measures the angle of elevation from his hand to the kite to be 29°. If the string from the kite to his hand is 110 feet long, what is the total vertical height?The height of the kite above the ground will be calculated as:-
[tex]Sin\theta = \dfrac{perpendicular}{Hypotenuse}[/tex]
[tex]Sin(29)=\dfrac{H}{110}[/tex]
H = Sin(29) x 110
H = 53.32 feet
The hand of the boy is 3.5 above the ground so the total height H(t) of the kite above the ground will be:-
H(t) = 53.232 + 3.5
H(t) = 56.28 feet.
Therefore the height of the kite will be 53.32 feet above the ground.
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Answer:
Step-by-step explanation:
\text{What function uses the \color{green}{\textbf{O}PPOSITE} and the \color{#EB0000}{HYPOTENUSE}?}
What function uses the OPPOSITE and the HYPOTENUSE?
\text{\Large \underline{S}\color{green}{O}\color{#EB0000}{H}-CAH-TOA}
S
OH-CAH-TOA
\text{sin }\color{purple}{29}=\frac{\color{green}{\text{opposite}}}{\color{#EB0000}{\text{hypotenuse}}}=\frac{\color{green}{x}}{\color{#EB0000}{110}}
sin 29=
hypotenuse
opposite
=
110
x
\text{sin }29=
sin 29=
\,\,\frac{x}{110}
110
x
\frac{\text{sin }29}{1}=
1
sin 29
=
\,\,\frac{x}{110}
110
x
110\text{ sin }29=
110 sin 29=
\,\,x
x
Cross multiply.
x=53.329058...
x=53.329058...
Type into calculator.
\text{Add 3.5, the distance from the ground to his hand:}
Add 3.5, the distance from the ground to his hand:
53.329058...+3.5=
53.329058...+3.5=
\,\,56.829058...
56.829058...
\approx
≈
\,\,56.8
56.8
Round to the nearest tenth.
\text{The kite is 56.8 feet above the ground.}
The kite is 56.8 feet above the ground.
The rectangular prism shown has a length of 5 cm, a height of 3 cm, and a width of 4 cm. What is the surface area of this prism?
What is the answer and please explain how you got it.
Answer:
94 cm^2 (cm squared bc it's surface area)
Step-by-step explanation:
so we know...
length = 5
height = 3
width = 4
there are two of the same sides in a rectangular prism
5x3 = 15
4x3 = 12
4x5 = 20
15 + 12 + 20 = 47 x 2 = 94
On the first day of a song release, it had 20 million streams. If the number of streams increases by 10% per day, how many streams will there be on the seventh day
Answer:
35.4 million
Step-by-step explanation:
We assume the description "increases by 10% per day" means the base of the percentage is the previous day's number of streams. Then the sequence of streams on consecutive days is a geometric sequence with a first term of 20 million and a common ratio of (1 +10%) = 1.10.
__
streams on day nThe n-th term of a geometric sequence is ...
an = a1×r^(n-1) . . . . . where a1 is the first term, and r is the common ratio
The sequence of streams on consecutive days is then ...
an = 20×1.10^(n-1) . . . . millions of streams on day n
seventh dayFor n = 7, the number of streams is ...
a7 = 20×1.10^(7 -1) ≈ 35.4 . . . . million streams
There will be about 35.4 million streams on the seventh day.
Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v−
5
6
−
3
2
v+
15
4
+
3
1
v
From khan academy
The equivalent expression of [tex]-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v[/tex] is [tex]-\dfrac{15}{15}-\dfrac{v}3[/tex]
How to determine the equivalent expression?The expression is given as:
[tex]-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v[/tex]
Collect like terms
[tex]-\dfrac65+\dfrac{4}{15}+\dfrac13v-\dfrac23v[/tex]
Evaluate the like terms (take LCM)
[tex]\dfrac{-6 * 3 + 4}{15}+\dfrac{v - 2v}3[/tex]
Evaluate the like expressions
[tex]-\dfrac{15}{15}-\dfrac{v}3[/tex]
Hence, the equivalent expression of [tex]-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v[/tex] is [tex]-\dfrac{15}{15}-\dfrac{v}3[/tex]
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Land Area
City
Chicago
(in square miles)
227.635
468.670
Population
(in 2011)
2,707,120
Los Angeles
3,819,702
To the nearest tenth, by how many people per square mile is the population density of Chicago greater than the population density of
Los Angeles?
Population density=Total population/Total area
#Chicago
Population density
2707120/227.63511892.4#Los angeles
Population density
3819702/468.6708150.1Difference
11892.4-8150.13742.3The population density of Chicago is 3741.9 greater than Los Angele's population density.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given information in the question,
The population density is the ratio of the total population to the total area.
Total population of Chicago = 2,707,120
The land area of Chicago = 227.635
Then, the population density of Chicago will be:
= 2,707,120/227.635
= 11892.37
Total population of Los Angeles = 3,819,702
The land area of Los Angeles = 468.670
Then, the population density of Los Angeles will be:
= 3,819,702/468.670
= 8150.08
Then, the difference between Chicago and Los Angeles will be:
= 11892.37 - 8150.08
= 3741.9
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How many children are working around the world today, according to the ilo? a. 215,000 b. 2.15 million c. 21.5 million d. 215 million
Answer:
160 million
Step-by-step explanation:
According to the ILO as of 2021, there's an estimated 160 million children working right now, so i don't know what answer you should put :/
Answer:
D 215 million
Step-by-step explanation:
A teacup has a diameter of 6 centimeters. What is the teacup's radius?
Help please.
Answer:
3
Step-by-step explanation:
2r=d
d/2=r
The figure is made up of two shapes a semi circle on a rectangle what is the exact perimeter of the
The perimeter of the composite shape is: (3π + 12)mm
What is a semicircle?A semicircle is a part of a circle cut through its diameter.
Analysis:
perimeter of a semicircle = πr
where r = 6/2 = 3mm
perimeter of a semicircle = π(3) = 3π
perimeter of incomplete rectangle = L+2B, L = 6mm, B = 3mm
perimeter of rectangle = 6mm +2 x 3= 12mm
perimeter of shape = (3π+12)mm
In conclusion, the perimeter of the rectangle is (3π+12)mm
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Make an organized list which shows all possible outcomes when four fair coins are flipped.Each coin lands facing either heads up (H) or tails up (T).What is the probability that at least three coins land facing tails up? Give the probability as a percent, rounded to the nearest whole number.P(at least three tails) =
Answer:
Sample Space
= { HHHH , HHHT, HTHH , HHTT , HHTH , HTHT , HTTH , HTTT , TTTT , TTTH ,THTT, TTHH ,TTHT ,THTH, THHT ,THHH}
n(S) = 16
at least three coins land facing tails up T= { HTTT , TTTT , TTTH ,THTT, TTHT }
n(T)=5
P(at least three tails) = n(T)/n(S) = 5/16
∴ the percentage is = 31.25%
Step-by-step explanation:
Which statement about digital payments is true?
A. Digital payments are becoming less safe than ever.
B. Digital payments are more common than ever.
C. Digital payments are more convenient for buyers but less
convenient for sellers.
D. Digital payments are being replaced by cash and credit cards.
Answer:
it think it is B. Digital payments are more common than ever.
Step-by-step explanation:
"Significant gains have been recorded, however, in the share of consumers using two or more digital payments methods, which jumped from 45 percent last year to 58 percent in 2020 "
Hope This Helped
in 2020 there were about 282 million gas powered cars on the road this number is expected to decrease at a rate of 3.1% per year if this is correct estimate how many people will be driving gas in 5 years
Answer:
≈ 240,000,000 people
Step-by-step explanation:
[tex]3.1 \cdot 5 = 15.5[/tex]
[tex]15.5[/tex] ≈ [tex]16[/tex]
[tex]Y = X(1 - P\%)\\Y = 282,000,000(1 - 16\%)[/tex]
[tex]p = 16\%/100 = 0.16\\Y = 282,000,000(1 - 0.16)\\Y = 282,000,000(0.84)\\Y = 236,880,000\\[/tex]
[tex]236,880,000[/tex] ≈ [tex]240,000,000[/tex]
find the volume of the cubes or rectangular prisms in cubic centimeters.
Answer:
Cube with a side length of 2/5 cm: 8/125 cm^3
Rectangular prism with a length, width, and height of 3/5 cm, 4/5 cm, and 3/5 cm, respectively: 36/125cm^3
Rectangular prism with a length, width, and height of 1/5 cm, 2/5 cm, and 3/5 cm, respectively: 6/125 cm^3.
Cube with a side length of 1/5 cm: 1/125 cm^3
Step-by-step explanation:
For the first one, cubes have equal sides, we would do 2/5*2/5*2/5, which is 8/125 cm^3.
Next we have a rectangular prism. For this, we will just multiply all of the sides with each other which is 3/5*4/5*3/5 which is 36/125 cm^3
Now we have another rectangular prism. Again, we will multiple all of the sides with one another: 1/5*2/5*3/5, which is 6/125 cm^3.
Lastly, there is a cube with a side length of 1/5 cm. We know that cubes have equal sides, so it would be 1/5*1/5*1/5, which is 1/125 cm^3.
I hope this helped.