Answers
10r+9/r(r+3)
Related Questions
14.4% of 72.5 is what number?
Answers
Final answer:
To find 14.4% of 72.5, convert the percentage to a decimal and multiply it by the number, resulting in 10.44.
Explanation:
To calculate 14.4% of 72.5, you can use the following steps:
Convert the percentage to a decimal by dividing by 100: 14.4% ÷ 100 = 0.144.Multiply the decimal by the number: 0.144 × 72.5.Perform the multiplication: 0.144 × 72.5 = 10.44.Therefore, 14.4% of 72.5 is 10.44.
s(t)=9t-4, find S(4)
Answers
S(4) = 9(4) - 4
S(4) = 36 - 4
S(4) = 32 is your answer.
To calculate S(4), substitute the value of t with 4 into the function S(t), which results in S(4) = 9(4) - 4, giving the final answer of 32.
Explanation:To find S(4), we need to substitute the value of t with 4 in the function S(t) = 9t - 4. This is a simple evaluation of a function for a given input.
Step-by-step calculation:
Write down the function: S(t) = 9t - 4Substitute t with 4: S(4) = 9(4) - 4Multiply 9 by 4: S(4) = 36 - 4Subtract 4 from 36: S(4) = 32Therefore, S(4) is 32.
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Select the option for "?" that continues the pattern in each question.
(1.) 3, -6, 12, 4, 20, ?
(2.) 7, 16, 8, 27, 9, ?
(3.) 2, 7, 26, 101, 400, ?
(4.) 7, 21, 8, 72, 9, ?
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2. 9 or 38 not really sure
3.1595
4.. 810
6/15=2/c need to solve
Answers
2/5 = 2/c
2/5c = 2
2c/5 = 2
2c = 2 * 5
2c = 10
c = 10/2
c = 5.
Hope this helps and happy studying :).
2 over c (⬅simplify )
6 over 15 - 2 over c ➡0
2 over 5 (⬅simplify)
2 over 5- 2 over c ➡0
2 (c) - 10
2 (c- 5) over 5c ➡0
2 ➡ 0
c - 5 ➡0
Therefore, the value of "c" is: 5 :)
Heights of men on a baseball team have a Bell shaped distribution with a mean of 172cm and a standard deviation of 8cm. Using the empirical rule, what is the approximate percentage of the men between the following values? a. 156cm and 188cm b. 164cm and 180cm
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Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1.50μm2. Convert this to square meters.
Express your answer in square meters.
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What divided by 2 equals -12
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The length of the base of a triangle is twice its height. If the area of the triangle is 64 square kilometers, find the height.
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64 = base x height / 2
(multiply 2 on both sides)
128 = base x height
then if base= 16 and height = 8 then 16 x 8 = 128
thus the base is 16 which is twice the height:8
To find the height of the triangle with an area of 64 square kilometers and a base twice its height, we use the area formula: A = (1/2) × base × height, which leads us to determine that the height is 8 kilometers.
Explanation:The question given involves finding the height of a triangle when the area is known and the relation between the base and height is given. Since the base is twice the height (b = 2h), and we know the formula for the area of a triangle is A = (1/2) × base × height, we can substitute the known area and the base-height relationship into this formula to solve for the height.
The area (A) is given as 64 square kilometers, which leads to the equation:
A = (1/2) × b × h = (1/2) × (2h) × h = h²,
Therefore, with A = 64 km², we obtain:
64 = h².
Taking the square root of both sides gives us the height (h):
h = √64 km = 8 km.
So the height of the triangle is 8 kilometers.
the Lynch family bought a house for 75,300 .a few years later ,they sold the house for 80,250 how much greater was selling price than the purchase price
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What is 14.7 times 11.361 showing your work ?
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Answer: Hello mate!
this multiplication can be hard because of the numbers after the decimal point. You could use the next trick.
14.7*10 = 147 and 11.361*1000 = 11361
now you could do the multiplication without concerning about the decimals, and afther that divide it back by 10*1000.
and [tex]14.7*11.361 = \frac{147}{10}*\frac{11361}{1000} = \frac{147*11361}{10*1000} = \frac{147*11361}{10000} = \frac{1670067}{10000}[/tex]
now you need to divide by 10000, that is equivalent to move the decimal point by 4 ) places to the left.
1670067/10000 = 167.0067
The sum of five times a number and 6 more than the number is the same as the difference between -18 and twice the number. What is the number?
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5n + n + 6 = -18 - 2n
6n + 6 = -18 - 2n
-6 to both sides
6n = -24 - 2n
+2n to both sides
8n = -24
divide 8 to both sides
n = -3
The number is given by -3.
What is an Equation?Equation is a mathematical relation between more than one variable, number or mathematical quantities involving mathematical operations using equal sign in between them.
Let the number be x
Five times the number is = 5x
6 more than the number is = x+6
Sum of five times a number and 6 more than the number is = 5x+(x+6) = 5x+x+6 = 6x+6
The difference between -18 and twice the number = -18-2x
According to condition,
6x+6 = -18-2x
6x+2x = -18-6
8x = -24
x = -24/8 = -3
Hence the number is -3.
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One milliliter of blood contains approximately 5 million red blood cells, and one pint is about 473 milliliters. Create and solve an equation that can be used to find approximately how many red blood cells are in a pint of blood. Use scientific notation for the first box of the equation.
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To find the approximate number of red blood cells in a pint of blood, multiply 5 million by 473.We get approximately 2.365 billion red blood cells
Explanation:To find the approximate number of red blood cells in a pint of blood, we can use the given information. One milliliter of blood contains approximately 5 million red blood cells. And one pint is about 473 milliliters. So, we can set up the equation:
Number of red blood cells in a pint = 5 million x 473
Using scientific notation for the first box of the equation:
Number of red blood cells in a pint = 5 x 106 x 473
Simplifying the equation, we get:
Number of red blood cells in a pint = 2.365 x 109 or approximately 2.365 billion red blood cells
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A hardware store sells 35% fewer lawnmowers in july than in april. If 39 were sold in july, how many were sold in april/
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39-13 is 26
26 is the answer
Answer: 0.65a = 39
Step-by-step explanation:
Complete the square to put he equation in convenient form for graphing. Then graph the conic section
16x^2+9y^2+96x-18y+9=0
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You'll basically complete the square for two equations at the same time. Set it up like this:
(16x^2 + 96x) + (9y^2 - 18y) = 9
Divide everything by 16 to get the x^2 by itself, then divide everything by 9 to get y^2 by itself. You should end up with this.
(x^2 + 6x) + (y^2 - 2y) = 9/144
then complete the square by taking the second term of each polynomial, dividing by two, and squaring it.
For instance the first one will be 6/2 = 3^2 = 9
The next one will be 2/2 =1^2 = 1
Add these to numbers to the polynomials as well as to the other side of the equation to keep it equal. You should end up with this.
(x^2 + 6x+9) + (y^2 - 2y+1) = (9/144)+9+1
Then find a common denominator on the right side of the equals sign and add them all together to get:
(x^2 + 6x+9) + (y^2 - 2y+1) = 1449/144
Factor out the two polynomials
(x+3)^2 + (y-1)^2 = 1449/144
the center of the circle is (-3,1) according to the factored out polynomials and the radius will be the square root of the number on the right side of the equals sign = sqrt(1449/144) = 3.17
One numer is 17 more than another number the sum of the two numbers is 25 find the numbers
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The digits 2 comma 3 comma 4 comma 5 comma and 2, 3, 4, 5, and 6 are randomly arranged to form a three-digit number. (Digits are not repeated.) Find the probability that the number is even and greater than 600.
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Therefore using permutations we can find total possible 3-number combinations.
5P3 = 5*4*3 = 60
To be greater than 600 means first digit must be 6. (1 possibility)
A number is even only if last digit is even, 2 or 4. (2 possibilities)
The 2nd digit then can only be 3,5, (2 or 4). (3 possibilities)
The total possible even 3-digit numbers greater than 600 is product of each digit's possibilities.
---> 1*3*2 = 6
Therefore probability is 6/60 = 1/10.
A tree is 2 1/2 feet tall. How tall will it be in 3 years if it grows 1/4 foot each year? Which method will NOT give the correct number of feet?
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The senate in a certain state is comprised of 51 republicans, 48 democrats, and 1 independent. How many committees can be formed if each committee must have 3 republicans and 2 democrats
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There are 23,490,600 committees that can be formed if each committee must have 3 Republicans and 2 Democrats
Used the concept of combination which states that,
A combination is a technique to determine the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that,
The Senate in a certain state is comprised of 51 Republicans, 48 Democrats, and 1 independent.
Since we have 51 Republicans,
So we can choose 3 Republicans out of 51 in [tex]^{51} C_3[/tex] ways.
Similarly, we have 48 Democrats, so we can choose 2 Democrats out of 48 in [tex]^{48} C_2[/tex] ways.
Hence, the number of committees:
[tex]^{51} C_3 \times ^{48} C_2[/tex]
Using the formula for combinations,
[tex]^{n} C_r = \dfrac{n!}{r! (n - r)!}[/tex]
[tex]= \dfrac{51!}{3!(51 - 3)!} \times \dfrac{48!}{2!(48 - 2)!}[/tex]
[tex]= \dfrac{51!}{3!(48)!} \times \dfrac{48!}{2!(46)!}[/tex]
[tex]= \dfrac{51 \times 50 \times 49 \times 48!}{3!(48)!} \times \dfrac{48\times 47 \times 46!}{2!(46)!}[/tex]
[tex]= \dfrac{51 \times 50 \times 49 }{3!} \times \dfrac{48\times 47 }{2!}[/tex]
[tex]= 20,825 \times 1,128[/tex]
So, the number of committees is,
[tex]= 23,490,600[/tex]
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the Golden Ratio, is present not just in mathematics, but may also be present within your own brain and body (at the atomic or subatomic level), what do you think it means? Is this number evidence of a grand design, a massive freak coincidence or something else?
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Extraordinary claims require extraordinary evidence. You have no evidence here what so ever. IF you have some, please do share.
Otherwise, please try to keep questions about religious and spiritual and paranormal stuff out of the Science and Math category.
the production line where you work can assemble 5 amplifiers every 30 minutes at this rate how long should it take the line to assemble 125 amplifiers
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Amplifiers : Time Taken in minutes
5 : 30
5x= 125
x= 25
so
5*25 : 30*25
125 : 750
750 minutes.
12 hours 30 minutes.
The time taken to assemble 125 amplifiers is required.
Time taken to assemble 125 amplifiers is 750 minutes or 12 hours and 30 minutes.
Time taken to assemble 5 amplifiers is 30 minutes
[tex]5\ \text{amplifiers}=30\ \text{minutes}[/tex]
So,
[tex]1\ \text{amplifier}=\dfrac{30}{5}=6\ \text{minutes}[/tex]
[tex]125\ \text{amplifiers}=125\times 6=750\ \text{minutes}=\dfrac{750}{60}=12.5\ \text{hours}[/tex]
So, time taken to assemble 125 amplifiers is 750 minutes or 12 hours and 30 minutes.
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what is the answer of 21 + m = 33
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-21 -21
m = 12
You would do what happened last to the equation(Not counting M,) in this case would be + 21. Since you would do - 21 to get 0, you would subtract 21 on both sides, which gets you positive M = 12.
a) A box contains 50 diodes of which 10 are known to be bad. A diode is selected at random. What...
a) A box contains 50 diodes of which 10 are known to be bad. A diode is selected at random. What is the probabil ity that it is bad?
b) If the first diode drawn from the box was good, what is the probability that a: second diode drawn wi ll be good?
c) If two diodes are drawn from the box what is the probability that they are both good?
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Final answer:
a) The probability of selecting a bad diode is 0.2 (20%). b) If the first diode is good, the probability of the second diode being good is 0.816 (81.6%). c) The probability that both diodes are good is 0.6326 (63.26%).
Explanation:
a) Probability that the diode is bad:
There are 50 diodes in total, with 10 known to be bad. The probability of selecting a bad diode is calculated by dividing the number of bad diodes by the total number of diodes: 10/50 = 1/5 = 0.2 or 20%.
b) Probability of second diode being good:
If the first diode drawn is good, there will be 49 diodes left, with 9 being bad. The probability of selecting a good diode as the second one is 40/49 = 0.816 or 81.6%.
c) Probability that both diodes are good:
If two diodes are drawn, there will be 48 diodes left, with 9 being bad. The probability of selecting a good diode for the first draw is 40/50 and for the second draw is 39/49. Therefore, the probability of both diodes being good is (40/50) * (39/49) = 0.6326 or 63.26%.
The probability of selecting a bad diode from the box of 50 is 0.2. If a good diode is selected first, the probability of selecting another good diode is 39/49. The probability of selecting two good diodes consecutively is approximately 0.6367.
Explanation:The question deals with the concept of probability within a discrete random variable scenario. Specifically, it requires calculating the probabilities of selecting good and bad diodes from a batch with a known distribution of working and defective parts.
a) The probability that a randomly selected diode is bad is the number of bad diodes divided by the total number of diodes. Therefore, it is 10/50 or 1/5 or 0.2.b) If the first diode drawn is good, we have 49 diodes left with 10 bad still among them. The probability that a second diode drawn will be good is the number of remaining good diodes divided by the total remaining diodes, which is 39/49.c) To find the probability that both diodes are good when two are drawn without replacement, we multiply the probability of drawing one good diode by the probability of drawing a second good diode (having already drawn one good). This gives us (40/50) * (39/49), which simplifies to 0.8 * 0.7959 or approximately 0.6367.Which problem could be solved with the expression 4*(4+2)
A - Danny ran 4 miles in the morning and 2 miles in the afternoon. He did this for 4 days. How many miles did he run?
B - Bobby sold 4 baseball cards on Monday. He then sold 2 more on Tuesday. He sold the same amount for 2 weeks. How many did he sell?
C - Suzanne makes wooden dolls. She made 2 in the morning and 2 in the afternoon. She did this for 4 days. How many dolls did she make?
A Danny's Problem
B Bobby's Problem
C Suzanne's Problem
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He ran for six (6) miles every day. 4 in the morning and 2 at night = 6 per day.
He did this for four (4) days. The way to figure this would be to go 6 * 4. This equals 24 miles.
Go back a few steps (punny!).
So days multiplied by how many miles he ran a day which is calculated by miles in morning added to miles at night.
days*(miles per morning + miles per night)
days=4
miles per morning=4
miles per night = 2
4 * (4+2)
Calculating this out....
4 * (4+2)
(4+2 = 6)
4 * 6 = 24.
So A is the answer.
What type of simple machine is the crescent wrench
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The crescent wrench is a type of lever, a simple machine that amplifies force to provide greater torque on fasteners with less input effort.
The crescent wrench is a type of simple machine, specifically it is a form of a lever. When you use a crescent wrench, you apply force to the handle, which then applies force to the object you are turning. The pivot point, or fulcrum, is the adjustable jaw which grips the nut or bolt. This allows the user to exert a greater torque on the fastener with less force than would be needed if just using one's hands.
Like other levers, the crescent wrench allows for a mechanical advantage, which is the ratio of output to input forces for any simple machine. By lengthening the handle of the wrench (the effort arm), we achieve a greater mechanical advantage, and thus, can apply more torque to the bolt or nut we are trying to turn.
A bank is offering 2.5% simple interest on a savings account. If you deposit $5000, how much interest will you earn in one year?
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A = P(1 + rt)
where
A = amount
P= Principal
r=rate
t=time
Plugging in:
A = 5000(1 + (0.025 × 1))
Answer:
125.00
Step-by-step explanation:
A rectangular room is 1.5 times as long as it is wide, and its perimeter is 35 meters. find the dimesions of the room
Answers
The width of the room is 7 meters and the length is 10.5 meters.
Explanation:To find the dimensions of the rectangular room, let's assume the width of the room is x meters. According to the given information, the length of the room is 1.5 times the width, so the length would be 1.5x meters.
The perimeter of a rectangle is calculated by adding twice the length to twice the width. So, we have the equation:
2x + 2(1.5x) = 35
Simplifying the equation, we get:
2x + 3x = 35
Combining like terms, we have:
5x = 35
Dividing both sides of the equation by 5, we find that x = 7.
Therefore, the width of the room is 7 meters and the length is 1.5 times the width, which is 1.5 * 7 = 10.5 meters.
Your neighbor had to drop the selling price of her home from $180,000 to $165,000. What percent did the price get lowered? Round to nearest tenth
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Then we round to the nearest tenth, which is 0.92
0.92 as a percentage is 92%.
100% - 92% = 8%
The price of the home dropped by 8%.
The product of two positive numbers is 120. One number is 7 more than the other. Determine the two numbers
Answers
x= 7+y
(7+y)(y) = 120
y^2 + 7y - 120 = 0
(y + 15) (y - 8) = 0
Since we are finding two positive numbers,
If y= 8 then x= 15
The two numbers are 8 and 15
if 3 apples cost $1.25 what is the cost of 7 apples?
Answers
A bag contains
9
marbles:
2
are green,
2
are red, and
5
are blue. Omar chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is green and the second is red? Write your answer as a fraction in simplest form.
Answers
hope this helps
2/36
Simplify:
1/18
Hope this helps!