Estimate 9/16 to the lowest terms
Answers
Answer:
9/16
is already in the simplest form. It can be written as 0.5625 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
Related Questions
A hat contains 35 marbles. Of them, 20 are red and 15 are green. If one marble is randomly selected out of this hat, what is the probability that this marble is red? Round your answer to two decimal places. P(A) =
Answers
Answer:
P(A) = 0.57 (rounded to two decimal places).
Step-by-step explanation:
The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:
P(red) = number of red marbles / total number of marbles
P(red) = 20/35
We can simplify this fraction by dividing both the numerator and denominator by 5:
P(red) = 4/7
So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.
Therefore, P(A) = 0.57 (rounded to two decimal places).
if the letter l,o,g,ic are randomnly arranged to form word logic what is the probability that result will be woord logic
Answers
The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))
To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.
The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.
The total number of possible arrangements is given by the factorial of the total number of letters:
Total arrangements = 10!
However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:
Total arrangements = 10! / (2!)
To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.
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How far does the tip of a minute hand on a clock travel in 15 minutes if the distance from the center to the tip is 8cm? Leave your answers in terms of pi or round your answer to the nearest tenth.
SHOW WORK
Answers
The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.
How to find the distance of the tip minute handThe distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.
The circumference of a circle is given by the formula:
C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.
The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.
The circumference of the circle traced by the tip of the minute hand is:
\(\text{C} = 2\pi \text{r}\)
\(= 2\pi (8)\)
\(= 16\pi \ \text{centimeters}\)
Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.
The distance traveled by the tip of the minute hand in 15 minutes is:
\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)
\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)
\(= 4\pi \ \text{centimeters}\)
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Answer:
4π cm ≈ 12.6 cm
Step-by-step explanation:
The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand: r = 8 cm.
A clock face is divided into 12 equal sectors (numbered 1 to 12).
It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.
This means that 15 minutes equals 3 sectors, which is a quarter of the circle.
To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.
The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:
\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)
Simplifying, we get:
\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)
\(\sf Distance=4 \pi\)
Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.
Shelina is raising money by partaking in a readathon. She receives $15 for every book that she reads.
Her goal is to collect at least $180, of which she has already earned $75.
Which inequality could be used to determine the number of books, b, that Shelina must read to reach her goal?
Answers
Answer:
15x + 75 ≤ 180
Step-by-step explanation:
Let b be the number of books that Shelina must read to reach her goal.
The amount of money Shelina will receive for reading b books is 15b.
The amount of money Shelina has already earned is $75.
Therefore, the total amount of money Shelina will have after reading b books is:
15b + 75
To reach her goal of collecting at least $180, the following inequality must be true:
15b + 75 ≥ 180
Subtracting 75 from both sides of the inequality, we get:
15b ≥ 105
Dividing both sides of the inequality by 15, we get:
b ≥ 7
Therefore, Shelina must read at least 7 books to reach her goal of collecting at least $180.
Where is the opposite of the opposite of -1.9 situated on the number line?
Answers
Answer:
-1.9
Step-by-step explanation:
The opposite of the opposite is the original number, -1.9.
It is located at -1.9 on the number line.
Answer:
a
Step-by-step explanation:
Find the exact length of the third side.
52
48
Answers
Answer:
Here in diagram this is a Right angled triangle wherehypontenuse =h=52Base=b=48We need to find
perpendicular =pAccording to Pythagorean theory
\({\boxed{\sf h^2=p^2+b^2}} \)
\(\qquad\quad {:}\longrightarrow\tt p^2=h^2-b^2 \)
\(\qquad\quad {:}\longrightarrow\tt p=\sqrt {h^2-b^2}\)
Substitute the values\(\qquad\quad {:}\longrightarrow\tt p=\sqrt{52^2-48^2}\)
\(\qquad\quad {:}\longrightarrow\tt p=\sqrt {2704-2304}\)
\(\qquad\quad {:}\longrightarrow\tt p=\sqrt{400}\)
\(\qquad\quad {:}\longrightarrow\tt p=20 \)
there are seven teams in a basketball competition, each team must play each of the other team once, how many games will each play?
Answers
Answer:
49 games
Step-by-step explanation:
Hunter read 12 books in 2 months. If he reads at a constant rate, how many books did
he read in one month? Give your answer as a whole number or a FRACTION in
simplest form.
PLS ANSWER QUICK
Answers
Answer:Hunter read 6 months in a month
Step-by-step explanation:
12/2=6 books in a month
Answer:
6 Books a Month
Step-by-step explanation:
12 / 2 = 6
what is the most $ that you can get out of a ATM?
Answers
Answer:
$200
Step-by-step explanation:
Answer:
I think it is 200$
Step-by-step explanation:
Simplify the expression. negative 15 plus the quantity negative 1 and six tenths plus 9 and 34 hundredths end quantity divided by 6 all times 3 squared minus 5 and 7 tenths −4.125 −9.09 −12.96 129.09
Answers
The simplified expression in mathematical form is -45.36.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The expression given is -
(-15 + (-1.6 + 9.34) / 6) × (3² - 5.7)
Simplifying the terms inside the parentheses first, we get -
(-15 + 7.74 / 6) × (9 - 5.7)
Next, we simplify 7.74 / 6 by dividing the numerator by the denominator -
(-15 + 1.29) × (9 - 5.7)
We add -15 and 1.29 inside the first set of parentheses -
(-13.71) × (9 - 5.7)
We subtract 5.7 from 9 inside the second set of parentheses -
(-13.71) × 3.3
Multiplying these two terms, we get -
-45.363 ≈ -45.36
Therefore, the value is obtained as -45.36.
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At what value of x does the graph of the following function F(x) have a vertical asymptote?A.-1B.1C.0D.2
Answers
Explanation
Given the function
\(f(x)=\frac{1}{x-1}\)The vertical asymptote occurs when the denominator is equal to zero.
\(\begin{gathered} x-1=0 \\ add\text{ 1 to both sides} \\ x-1+1=0+1 \\ x=1 \end{gathered}\)Answer: Option B
What is the exact volume of the cylinder? Enter your answer, in terms of π, in the box. m³ $\text{Basic}$ $x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$ $x\frac{ }{ }$ $x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$ A cylinder that is 2.5 m tall with a radius of 1.5 m
Answers
Answer:
\(5.625\pi\) m³.
Step-by-step explanation:
The volume of a cylinder is found by calculating pi * r^2 * h.
In this case, h = 2.5, and r = 1.5.
pi * 1.5^2 * 2.5
= pi * 2.25 * 2.5
= pi * 5.625
So, the exact volume of the cylinder is \(5.625\pi\) m³.
Hope this helps!
Answer: Volume of Cylinder: \(\pi r^{2} *h\)
5.625π m.
Step-by-step explanation:
\(\pi r^{2} *h\) Cylinder Area Formula
\(\pi *1.5^{2} *2.5\) Substitution
\(\pi * 2.25 *2.5\) Exponent
\(\pi *5.625\) Multiply
\(5.625\pi\) Answer
Help please
Condense to a single logarithm is possible
In(6x^9)-In(x^2)
Answers
The logarithm expression can be simplified to:
In(6x^9)-In(x^2) =7·ln(6x)
How to write this as a single logarithm?There are some logarithm properties we can use here.
log(a) - log(b) = log(a/b)
log(a^n) = n*log(a)
(these obviously also apply to the natural logarithm)
Now let's look at our expression, it says that:
In(6x^9)-In(x^2)
Using the first rule, we can rewrite this as.
In(6x^9)-In(x^2) = ln(6x^9/x^2)
Now solving the quotient in the argument:
ln(6x^9/x^2) = ln(6x^7) = 7·ln(6x)
That is the expresison simplified.
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PLEASE HELP ME WITH THISS!! PLEASEEE
Felicia also wants to save up extra money for Christmas presents, and she's lucky enough to have a boss that
pays her double time for overtime hours. Her normal hourly wage is $13 per hour as a cosmetologist. Last
week, she worked 40 regular hours and 12 overtime hours. How much did she make last week?
Answers
Answer:
40 x 13 = $520
13 x 2 = $26
12 x 26 = $312
520 + 312 =$832
The total is $832
hoped it helps
Please answer this correctly
Answers
Answer: The first one
Step-by-step explanation:
If you take a look at the light pink squares, you can count three on the top and three on the bottom. Therefore, when looking at it from the top, you’ll see the first one.
I hope you found my answer helpful! If you did, give it a five-star rating and a thanks! I would really appreciate it!
Even a brainliest if you feel like it! ;)
Answer:
the first image will b da answer
Step-by-step explanation:
happy to help ya :)
Simplify the rational expression
7x/14x^6
Answers
The simplified form of the rational expression \((7x)/(14x^6)\) is \(1/(2x^6).\)
To simplify the rational expression \((7x)/(14x^6)\), we can begin by simplifying the numerator and denominator separately.
In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.
In the denominator, \(14x^6\), we can see that both 14 and x^6 have a common factor of \(2x^6\).
So, we can rewrite the denominator as
\(14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.\)
Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:
\((7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)\)
Therefore, the simplified form of the rational expression\((7x)/(14x^6)\) is \(1/(2x^6).\)
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K
A recipe for soup calls for 4 tablespoons of lemon juice and cup of olive oil. The given recipe serves 2 people, but a cook wants to make a larger batch that serves 20.
a) How many cups of lemon juice will the chef need for the larger batch?
b) How many pints of olive oil will the che need for the larger batch?
a) The chef needed
cups of lemon juice for the larger batch.
(Type a whole number, proper fraction, or a mixed number.)
Answers
Answer: A) 2 and a half B) 5 pints
Step-by-step explanation:
in 1 cup there are 16 table spoons.
a) 4tbsp (2 servings) times 10 (to reach 20 servings) =40 tbsp
40/16 =2.5
ANSWER A= 2 and a half cups of lemon juice.
in 1 pint there are 2 cups.
b)
1 cup = 1/2 a pint,
1/2 pint (2 servings) times 10 (to reach 20 servings) = 5 pints
ANSWER B= 5 pints of olive oil
What coordinate expression represents the coordinates of any point after dilation by a scale factor of 2
Answers
Answer: (x,y) → (2x,2y) .
Step-by-step explanation:
A dilation is a transformation that changes the size of the image. It either shrink or enlarge a shape by using a scale factor about a center of dilation.If we transform point (x,y) by using dilation with scale factor k (assume center of dilation at (0,0) then the coordinate of the image will be (kx,ky).
So, the coordinate expression represents the coordinates of any point after dilation by a scale factor of 2:
(x,y) → (2x,2y) .
Answer:
When figure ABCD is dilated by a scale factor of 2, the coordinates of all the points in the dilated figure are multiplied by 2. If (x, y) is any point on the original figure that gets dilated by a scale factor of 2, then the expression that represents the coordinates of this point in the dilated figure is given by (2x, 2y)
Step-by-step explanation:
Two students are traveling to school from the same point. Student A starts at 7:00 a.m.
on a bicycle and has an average speed of 15 mph. Student B leaves at 9:00 a.m. in a
car which averages 55 mph. They arrive at the school at the same time. How far did
they travel?
Answers
Answer:
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Step-by-step explanation:
please help me with theses!! need to get it done asap.
Answers
Answer:
Question 1 : Pierre is right
Question 2 : 0.85 (because 1 - 0.15 = 0.85)
Question 3 : Less than 1
Step-by-step explanation:
What is the approximate area of the circle shown below
Answers
Answer:
43 FT^2
Step-by-step explanation:
3.14159265359 x 3.7^2
Pi times the radius squared
Exclamation : Hope this helps
pls solve and put in simplest form
Answers
Answer:
Step-by-step explanation:
1. 20
2. 100
3. 25
4. 45
5. 50
6. 54
7. 80
8. 192
9. 33
10. 128
Abe digs a hole at a steady rate of (meaning negative) 1.2 feet every hour.
Consider ground level to be 0.
What value represents the elevation of the hole relative to ground level after digging for 2.5 hours?
Enter your answer in the box.
Answers
The elevation of the hole relative to ground level after digging for 2.5 hours is -3.
PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Answers
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
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Hello!! I need help calculating the coordinates where these lines overlap. I have the answers, but I don't understand how to get there. I'm hoping you can show me your work! :)
Here's the first two:
\(-\left[\frac{2\left(x-400\right)^{2}}{800}-\frac{3\left(y-340\right)^{2}}{900}\right]=1\)
\(\frac{.08\left(x-380\right)^{2}}{10^{2}}-\frac{22\left(y-300\right)^{2}}{500^{2}}=1\)
the coordinate answers for this one should be (415.85, 317.9)
The second two are:
\(y=.3\left(x-230\right)^{2}+30\)
\(\frac{11\left(x-220\right)^{2}}{60^{2}}+\frac{11\left(y-40\right)^{2}}{30^{2}}=1\)
which should have a coordinate answer of (222.044, 48.987)
Thanks so much for your hard work!!!
Answers
Answer:
A common fraction is a fraction whose denominator is the same with another fraction.
$$$\sqrt{x} \div\sqrt{y}$$ as a common fraction is \sqrt \frac{x}{y}}
The expression is given as:
$$$\sqrt{x} \div\sqrt{y}$$
Express as fraction
$$$\sqrt{x} \div\sqrt{y} = \frac{\sqrt x}{\sqrt y}$$
Rewrite as a common fraction
$$$\sqrt{x} \div\sqrt{y} = \sqrt \frac{x}{y}}$$
Hence, $$$\sqrt{x} \div\sqrt{y}$$ as a common fraction is \sqrt \frac{x}{y}}
Answer:
Ask your teacher. sorry, this is so hard
Which number line best shows how to solve this? please help quickly thank you!
Answers
Answer:
Step-by-step explanation:
I attached the work and answer below, take a look!
What is the solution to the equation below?
3(x - 4) = 5x - 6
x = -3
x=3/4
x = 1
x = 9
Answers
Answer:
15=39; not equivalent
Step-by-step explanation:
replace x with 9 and solve using pemdas on each side to see if each side is equivalent
Find the mystery number. It is a common multiple of 2,5 and 7. It has 3 digits. The sum of the digits is 10. The number is less than 500
Answers
The number is 280
In mathematics, Least Common Multiple is referred to by its entire name, whereas Highest Common Factor is its complete name. The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the H.C.F. describes the biggest factor existing between any given pair of two or more numbers. LCM is also known as the Least Common Multiple (LCM), and HCF is also known as the Greatest Common Factor (GCF).
Two key techniques—the division method and the prime factorization approach—can be used to determine H.C.F. and L.C.M.
So we need to find the LCM of 2,5 and 7. Furthermore, we need to find multiply the LCM with a number which can make its sum of digits equal to 10.
LCM of 2,5 and 7 is 70
70 x 4 = 280
Sum of digits of 280 is 10, which is also less than 500
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1. 80% of the students on a field trip love the movie. If there are a total of 50 students on the field trip, how many love the movie?
Answers
Answer:
40 students
Step-by-step explanation:
A helpful tip I use is x% of y= y% of x
For example, 50% of 80 is 40
Boom
PLS HELPPPPP!!!!!!!!! DUE TODAY!!!!!! 100 points and brainliest if correct!!!! pls answer all of them!
Answer and solve the proportions then the percent equation.
what is the percent equation for the following:
6.5% of $400 is
what number?
12.5% of $100 is
what number?
130 is what percent
of 650?
$5.40 is what
percent of $4.50?
$8.40 is what
percent of $28?
56% of what
number is $21.84?
$495 is 55% of
what number?
144 is what percent
of 240?
Answers
Answer:The first question requires the calculation of the 6.5% of $400, which is equal to $26.
The second question requires the calculation of 12.5% of $100, which is equal to $12.50.
For the third question, 130 is 20% of 650.
For the fourth question, $5.40 is 120% of $4.50.
For the fifth question, $8.40 is 30% of $28.
For the sixth question, 56% of 39 is $21.84
For the seventh question, $495 is 55% of $900.
For the last question, 144 is 60% of 240.
Step-by-step explanation:
Answer:
Step-by-step explanation:
26
12.5
20%
120%
30%
12.23
900
60%