Answer:
[tex]\frac{5}{16}[/tex]
Step-by-step explanation:
When multiplying fractions, we can multiply them straight across.
[tex]\frac{3}{8}[/tex]×[tex]\frac{5}{6}[/tex]
[tex]\frac{15}{48}[/tex]
15 and 48 have a common factor, which is 3, so we can divide the numerator and denominator by 3 to simplify.
[tex]\frac{5}{16}[/tex]
A school principal wants to find out if his school needs more bike racks. A survey is taken of 30 students who
ride their bikes to school. Why might the sample be blased?
Answer: This sample may be biased because he is only asking the bike riders when in reality there might be a majority of students who instead take an alternate form of transportation
Step-by-step explanation:
100 POINTS! URGENT PLZ HELP
Select the correct answer. What is the simplified form of 4x√5-2π√5/3√5
[tex]\pink{\bigstar}[/tex] Simplified form [tex]\large\leadsto\boxed{\tt\purple{\dfrac{2 \pi}{3}}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Given:-[tex]\sf \dfrac{4 \pi \sqrt{5} - 2 \pi \sqrt{5}}{3 \sqrt{5}}[/tex]⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• To Find:-Simplified form⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{4 \pi \sqrt{5} - 2 \pi \sqrt{5}}{3 \sqrt{5}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{2 \pi \sqrt{5}}{3 \sqrt{5}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{\sqrt{5} (2 \pi)}{\sqrt{5} (3)}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{\cancel{\sqrt{5}}(2 \pi)}{\cancel{\sqrt{5}} (3)}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
★ [tex]\bold\red{\dfrac{2 \pi}{3}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, Option A is the correct choice.
option A.
Step-by-step explanation:
we have
[tex] \frac{4\pi \sqrt{5} - 2\pi \sqrt{5} }{3 \sqrt{5} } [/tex]
taking out 2[tex] \pi\sqrt{5}[/tex] common from the numerator
[tex] \frac{2\pi \sqrt{5}(2 - 1) }{3 \sqrt{5} } [/tex]
canceling [tex] \sqrt{5} [/tex] from both numerator and denominator
[tex] \frac{2\pi(1)}{3} [/tex]
hence the answer is option A.
inverse operation needed
Answer:
it is C.
Step-by-step explanation:
we know,
14+17= 31
so if we subtarct 17 from 31 we get 14
and if we subtract 14 from 31 we get 17
HELP ME.,,,,,,,,,,,,,,,,,,,
Answer:
Step-by-step explanation:
Use pythagorean theorem
9^2 +40^2=x^2
81+1600=x^2
1681=x^2
now find the square root of each side
[tex]\sqrt{1681} =\sqrt{x}[/tex]
x=41
Using the method of proof by contradiction, prove that if a product of two positive real numbers is greater than 1,000,000, then at least one of the numbers is greater than 1000.
Step-by-step explanation:
To prove - Using the method of proof by contradiction, prove that if
a product of two positive real numbers is greater than
1,000,000, then at least one of the numbers is greater
than 1000.
Proof -
For a proof of contradiction , firstly we have to assume that the statement is not true.
Here given statement is - A product of two positive real numbers is greater than 1,000,000.
Let if possible, there does not exist 2 +ve integer real number such that at least one of the numbers is greater than 1000.
⇒both the number are in between 0 to 1000
Let a and b are 2 +ve real numbers.
⇒ab < 1000×1000
⇒ab < 1000000
As given,
ab > 1000000
Contradiction.
Hence proved.
If a product of two positive real numbers is greater than 1,000,000, then at least one of the numbers is greater than 1000.
A portion of a roadmap is shown in the figure. What is the measure of angle p.
Step-by-step explanation:
Per our conceptual understanding, when two parallel lines are cut by a transversal line then their corresponding angles are equal.
So, If PQ and RS are two parallel lines and line L1 as shown is the transversal line then the corresponding angles are equal.
Hence, ∠1 = ∠2Or, c0 = 1800 – c02c = 180c = 90°
Therefore, if we get c = 90° then PQ and RS are parallel else PQ and RS are not parallel,
With this understanding, let us now analyse the individual statements.
Step 3: Analyse Statement 1
“b = 2a”
Per conceptual understanding, the sum of all the angles of a triangle is 180.
Hence, a + b + c = 180a + 2a + c = 1803a + c = 180
However, from the above equation, we can get many values of a and c.
Hence, statement 1 is not sufficient to answer the question.
Step 4: Analyse Statement 2
“c = 3a”
a + b + c = 180a + b + 3a = 180b + 4a = 180
However, from the above equation, we can get many values of a and b.
Hence, statement 2 is not sufficient to answer the question.Step 5: Combine Both Statements Together (If Needed)
From statement 1:
3a + c = 180
From statement 2:
c = 3a
Combining both the statements:
3a + 3a = 180.
From the above equation, we can find the value of a. Then we can find c.
Since we could find the answer by combining both the statements, option C is the correct answer.
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A car travels 320 miles in 7.5 hours. If the car continues at the same rate, how far
will it travel in 12 hours?
Answer:
512.04
Step-by-step explanation:
first you need to find out how many miles it goes in 1 hour so 320 divided by 7.5 which is 42.67
then take 42.67 and multiply it by 12
hope this helps!!
Answer:450
Step-by-step explanation:
Liam, Sarah and Emily shared some money in the ratio 3:6:8
Emily got £80 more than Liam.
How much money did Sarah get?
Two angles are called when their measures add to 180 degrees.
Answer:
Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
Answer:
That is called a supplementary angle
Step-by-step explanation:
Convert binary 11011.110 to base 10
Answer:
27.75₁₀
Step-by-step explanation:
Convert binary 11011.110 to base 10
11011.110 = 1*2^4 + 1*2^3+0*2^2 + 1*2^1 + 1* 2^0 + 1*2^-1 + 1* 2^-2 + 0
11011.110 = 16+8+0+2+1+1/2+1/4
11011.110 =27 + 3/4
11011.110 = 27.75₁₀
Hence the binary number to base 10 is 27.75₁₀
victor is selling lemonade to raise money for his school the amount of money he collected from his sales each day is summarized on the box plot below
The interquartile range of Victor's lemonade sale is A = 7
What in Interquartile Range ( IQR )?The distance between the upper and lower quartiles is known as the interquartile range. Half of the interquartile range corresponds to the semi-interquartile range. Finding the values of the quartiles in a small data set is straightforward.
The spread of the data, or statistical dispersion, is measured by the interquartile range. The middle 50%, fourth spread, or H-spread are further names for the IQR. It is described as the spread between the data's 75th and 25th percentiles.
Given data ,
Let the interquartile range of sales of Victor's lemonade be A
Now , the equation will be
Let the 75th percentile data = 29
Let the 25th percentile data be = 22
Now , the IQR is calculated by spread between the data's 75th and 25th percentiles
On simplifying , we get
The IQR = 29 - 22 = 7
Hence , the interquartile range is 7
To learn more about interquartile range click :
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The complete question is :
Victor is selling lemonade to raise money for his school the amount of money he collected from his sales each day is summarized on the box plot below.
What is the interquartile range of the data?
Malia split up The large container of salsa that she bought equally into five balls to place around her house for the party if each bowl contained 8.5 ounces of salsa which shows the correct equation and value of X the total amount of salsa in the original container
Answer:
B. [tex] \frac{x}{5} = 8.5 [/tex]; [tex] x = 42.5 ounces [/tex]
Step-by-step explanation:
Total amount of salsa in container = x
Number of bowl the salsa is divided into = 5
Amount contained by each bowl = 8.5 ounces of salsa
Therefore:
[tex] \frac{x}{5} = 8.5 [/tex] ---› equation
Solve for x
Multiply both sides by 5
[tex] \frac{x}{5}*5 = 8.5*5 [/tex]
[tex] x = 42.5 [/tex]
Asha has 3 times as many books as Luna. How many books does Asha have if Luna has "x" books.
Answer:
Asha has 3x books
Step-by-step explanation:
Since we dont not know how many books Luna has we know it is "X" so luna will have 3 times as much as X so 3x which also represents 3 times x
X-7>29 inequalities someone please help
Answer:
x>36
Step-by-step explanation:
Hope this helps and good luck
Diameter:
20 inches
Use the image above to calculate the CIRCUMFERENCE of the circle. Write your answer below. Click the show
your work tab below to answer.
NEED HELP ASAP 15 POINTS
help pls thank you
ok byeeee
Answer:
fine, the answer is 38.47 inches squared;why are you getting this from a live quiz? I know it is a live quiz because it probably is FLVS
Step-by-step explanation:
7 divided by 2 = 3.5
3.5 x 3.5 x 3.14 = 12.25 x 3.14 = 38.465
ROUND IT AND GET 38.47
What is the area of this figure?
Enter your answer in the box.
Answer:
20
Step-by-step explanation:
add 3ft+3ft+11ft+3ft and that's your answer
f(x) = (x + 2) (x - 7)3
Answer:
y=3x^2 -15x-42
Step-by-step explanation:
how many rhombuses in a trapezoid?
A tank contains 350 liters of fluid in which 40 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t. Find the rate at which the number of grams of salt in the tank is changing at time t.
Answer:
[tex]\frac{dA}{A} = -\frac{1}{70} dt[/tex]
A(t) = [tex]40 e^{-\frac{t}{70}}[/tex]
Step-by-step explanation:
Given - A tank contains 350 liters of fluid in which 40 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t.
To find - Find the rate at which the number of grams of salt in the tank is changing at time t.
Find the number A(t) of grams of salt in the tank at time t.
Proof -
Given that,
Total fluid in the tank = 350 litres
Total salt = 40 grams
Rate in flow = 5 L/min
Rate out flow = 5 L/min
Concentration in = 0
Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)
Now,
Total solution in the tank at time t = Total fluid in the tank + (Rate in flow - Rate out flow )t
= 350 + (5 - 5)t
= 350
⇒Solution in the tank at time t = 350
⇒Concentration out = [tex]\frac{A(t)}{350}[/tex]
Now,
Rate of change in the tank at time t = [tex]\frac{dA}{dt}[/tex]
= (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)
= 5(0) - 5([tex]\frac{A(t)}{350}[/tex])
= 0 - [tex]\frac{A(t)}{70}[/tex]
= [tex]-\frac{A(t)}{70}[/tex]
⇒[tex]\frac{dA}{dt}[/tex] = [tex]-\frac{A(t)}{70}[/tex]
⇒[tex]\frac{dA}{A} = -\frac{1}{70} dt[/tex]
Integrate both sides , we get
ln(A) = [tex]-\frac{1}{70}t + C[/tex]
⇒A(t) = [tex]e^{-\frac{t}{70}+ C}[/tex]
= [tex]e^{-\frac{t}{70}}*e^{C}[/tex]
= [tex]C_{1} e^{-\frac{t}{70}}[/tex]
⇒A(t) = [tex]C_{1} e^{-\frac{t}{70}}[/tex]
Now,
Given that,
Initially, the tank has 40 grams of salt
⇒A(0) = 40
⇒C₁ = 40
⇒A(t) = [tex]40 e^{-\frac{t}{70}}[/tex]
Which expression is equivalent to 4(m+2)?
Answer:
=4m+8
Step-by-step explanation:
=(4)(m+2)
=(4)(m)+(4)(2)
=4m+8
Answer:
4m +8
Step-by-step explanation:
Take out the parenthesis
What is the solution to the following system?
x+2y+z=9
x-y+3z=13
2z=10
Answer:
x=0 y=2 z=5
Step-by-step explanation:
so for z
2z=10
divid both side by 2
z=5
equation one
x+2y+5=9
x+2y=4 ------eqn1
equation two
x-y+ 3(5)=13
x-y+15=13
x-y=-2-----eqn2
now you solve it by elimination
eqn1-eqn2
3y=6
y=2
put y=2 into eqn2
x-2=-2
x=0
Monique sells lemonade at a lemonade stand. The model she uses to predict future
lemonade sales is described by the equation f(1) = 2(x – 65) + 12, where I is
the high temperature of the day and f(x) is the number of glasses of lemonade sold.
Which statement describes the slope of Monique's equation?
Answer:
The answer would be D
Step-by-step explanation:
Why? because as the temperature increases the amount of lemonade sold increases by 2
This is represented in 2(x) if that makes sense
For every 1-degree increase in high temp of the day, sales decrease by 2 glasses of lemonade. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The function is given below.
f(x) = 2(x – 65) + 12
f(x) = 2x – 130 + 12
f(x) = 2x – 118
For every 1-degree increase in high temp of the day, sales increase by 2 glasses of lemonade. Then the correct option is D.
More about the linear equation link is given below.
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The missing options are given below.
a) for every 65-degree decrease in high temp of the day, lemonade sales increase by 1 glass of lemonade
b) for every 1-degree increase in high temp of the day, sales increase by 2 glasses of lemonade
c) for every 65-degree decrease in high temp of the day, sales decrease by 1 glass
d) for every 1-degree increase in high temp of the day, sales decrease by 2 glasses of lemonade
Dave sold 60 general and reserved tickets for a concert. He sold general tickets for $10 each and reserved tickets for $15 each collecting a total of $725. Write a system of equations to determine the number of tickets he sold at each price and solve your system of equations?
Answer:
The system is of equations is:
[tex]\left\{ \begin{array}{ll} 10g+15r=725 & \quad \\ g+r=60 & \quad \end{array} \right.[/tex]
Where g is the amount of general tickets and r is the amount of reserve tickets.
35 general tickets and 25 reserve tickets were sold.
Step-by-step explanation:
Let general tickets be represented by g and reserved tickets be represented by r.
Each general ticket sells for $10 each and reserved tickets $15 each. Dave collected a total of $725. Thus:
[tex]10g+15r=725[/tex]
And a total of 60 tickets were sold. Hence:
[tex]g+r=60[/tex]
Our system of equations is:
[tex]\left\{ \begin{array}{ll} 10g+15r=725 & \quad \\ g+r=60 & \quad \end{array} \right.[/tex]
We can solve by substitution. First, divide both sides of the first equation by 5:
[tex]2g+3r=145[/tex]
Next, we can subtract a variable (r in this case) from the second equation:
[tex]g=60-r[/tex]
Substitute:
[tex]2(60-r)+3r=145[/tex]
Distribute:
[tex]120-2r+3r=145[/tex]
Simplify:
[tex]120+r=145[/tex]
Subtract:
[tex]r=25[/tex]
Using the previous equation:
[tex]g=60-r[/tex]
Substitute and evaluate:
[tex]g=60-(25)=35[/tex]
So, 35 general tickets and 25 reserve tickets were sold.
Question 7
Find the angle measures of ABCD.
Answer:
find it urself, i give u guide
Step-by-step explanation:
Find the value of the x first
As for now the only info that you have is total of angle in the square is 360°
[tex]360 = 4x - 10 + 3x + 7 + 2x + 3 \\ x = 40[/tex]
Pls solve this for 40 points and fast
Step-by-step explanation:
1)
10(3) + 2(1) = 32/4 = 8 mph
2)
[3(1.5) + 0.5x]/2 = 4
(4.5 + 0.5x) = 8
0.5x = 3.5
x = 7mph
if i walk 4 miles per hour how long would it take to walk 18 miles
Answer:
18/4 = 4.5
it would take you about 4 hours and 30 minutes to walk 18 miles
Step-by-step explanation:
Answer:
4 1/2 hours
Step-by-step explanation:
RATIO:
Miles Hours
4 1
8 2
12 3
16 4
18 4 1/2
You need to get from 16-18 so you have to get 4-2 and 1 hour to 1/2 hour.
Use properties of operation to write an expression equivalent to y/5 + (y + 4)
Answer:
Step-by-step explanation:
2. Party Land charges a $125 flat fee for a birthday party with an additional charge of $5.00
for each person attending. Lucy has at most $450 to spend on her party. What is the
greatest number of people that she can have at her party so that she doesn't go over her
budget?
Answer:
She can invite 66 people so 66 x 5 = $330 + 120 = $450
Step-by-step explanation:
Cylinders a and b each stated with different amounts of water. The graphs shows how the height of the water changed as the volume of the water increased in each cylinder. Which cylinder has the larger radius? a or b