Answer:
The simplest form is 3/11
Step-by-step explanation:
6/22 divided by 2 =3/11
what is scientific notation and why is it used ?
Scientific notation is a way of writing really big or really small numbers that take a lot of work to write out fully. Scientific notation is used because it's tiring to write out the numbers, which are usually very long. It's a way to shorten them while still knowing what the original number is.
The denominator of a fraction is one more than the numerator. If 3 is subtracted to
the numerator and to the denominator, the resulting fraction is equivalent to 1 . What is the 2
original fraction?
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
let the original fraction be
[tex]\frac{n}{n+1}[/tex] ( with denominator 1 more than numerator )
Subtracting 3 from numerator/ denominator gives
[tex]\frac{n-3}{n+1-3}[/tex] = [tex]\frac{n-3}{n-2}[/tex]
Given that the fraction is now equivalent to [tex]\frac{1}{2}[/tex] , then
[tex]\frac{n-3}{n-2}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2(n - 3) = n - 2, distribute left side
2n - 6 = n - 2 ( subtract n from both sides )
n - 6 = - 2 ( add 6 to both sides )
n = 4
and n + 1 = 4 + 1 = 5
Thus original fraction is [tex]\frac{4}{5}[/tex]
Is 3x - 4 = 12 a literal equation? *
Answer:
x = 16/15
Step-by-step explanation:
3x - 4 = 12
~Add 4 to both sides
3x = 16
~Divide 3 to both sides
x = 16/15
Best of Luck!
Several properties are used to evaluate this expression. Identify the property used in each step.
21 + (36 + 0 + 19)
21 + (36 + 19)
21 + (19 + 36)
(21 +19) + 36:
40 + 36
76
Answer:
step one is the identitey property step 2 is the communative property step 3 is the associative property
Step-by-step explanation:
After w weeks, a student has saved 25 + 8w dollars. How much money has the student saved after 15 weeks?
Answer:
145
Step-by-step explanation:
plugin 15 for w then solve it
Select all true statements about the \large \sqrt{36}
√36 can be taken out of the root as 6. So it's a rational number.
About the perfect square, if we (√36)² then we get 36. and √36 is just 6.
For non-repeating decimal, √36 is already an integer.
Tell whether −0.4848... is terminating or repeating.
Answer:
repeating.Step-by-step explanation:
0.4848....... as you can see, the 48 keeps repeating
Answer:
repeating
Step-by-step explanation:
- 0.48484848.. = - 0.(48) = repeating decimal (periodic)
Good luck !
Which equation justifies why nine to the one third power equals the cube root of nine?
nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
nine to the one third power all raised to the third power equals nine raised to the one third plus three power equals nine
nine to the one third power all raised to the third power equals nine raised to the one third minus three power equals nine
nine to the one third power all raised to the third power equals nine raised to the three minus one third power equals nine
Answer:
nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
Solve the following equation for x:
x8=9
Answer: x=9/8
Let's solve your equation step-by-step.
x(8)=9
Step 1: Simplify both sides of the equation.
8x=9
Step 2: Divide both sides by 8.
8x/8=9/8
x=9/8
A) During February, Kevin will water his ivy every third day and water his cactus every fifth day. On which date will Kevin first water both plants together? (Enter just the number, not the month)
B) During February, Kevin will water his ivy every third day and water his cactus every fifth day. After the first time he waters them together, will Kevin water both plants together again in February?
It’s ok if you answer one. Thank you
Answer:
A. 5th day B. Yes
Step-by-step explanation:
Ivy: 3,6,9,12,15
Cactus: 5,10,15,20,25
Right now that would be the 5th day. So yes, he will water them again in February.
Find the term between 21 and 153
Answer:
22,23,24... 152
Step-by-step explanation:
term= between the given
3x + 0.8 = 18.8
solve for x
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
3x + .8 = 18.8
subtract .8
3x = 18
divide by 3
x = 6
what is a real number
Answer:
pi, 7, and 8
Step-by-step explanation:
Nearly any number you can think of is a Real Number
Which set of three numbers could be the side lengths of a right triangle?
A. 5, 12, 17
B. 6, 12, 24
C. 12, 16, 25
D. 14, 48, 50
Answer:
if my calculations are correct the answer should be B!!
Step-by-step explanation:
The set of three numbers could be the side lengths of a right triangle is to be considered as the option d. 14,48,50.
What is Pythagoras theorem?It is a theorem that should be attributed to Pythagoras where the square of the hypotenuse of a right triangle is equivalent to the sum of the squares of the other two sides.
So based on this we can say that
[tex]50^2 = 48^2 + 14^2\\\\[/tex]
2500 = 2,304 + 196
2,500 = 2,500
Hence, the option d is correct.
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help me can you explain the answer for this question
Answer: Brand C because...
Step-by-step explanation:
Brand A= 0.23 for 1 ounce
Brand B=0.225for 1 ounce
Brand C= 0.21 for 1 ounce
Brand D= 0.25 for 1 ounce
2a-2c=4a solve for a
Answer:
a = - c
Step-by-step explanation:
2a - 2c = 4a
- 4a - 4a
- 2a - 2c = 0
+ 2c + 2c
- 2a = 2c
/-2 /-2
a = - c
Answer:
[tex]\boxed {a = -c}[/tex]
Step-by-step explanation:
Solve for the value of [tex]a[/tex]:
[tex]2a - 2c = 4a[/tex]
-Take [tex]4a[/tex] and subtract it from [tex]2a[/tex]:
[tex]2a - 2c - 4a = 4a - 4a[/tex]
[tex]-2a - 2c = 0[/tex]
-Add both sides by [tex]2c[/tex]:
[tex]-2a - 2c + 2c = + 2c[/tex]
[tex]-2a = 2c[/tex]
-Divide both sides by [tex]-2[/tex] and dividing [tex]-2[/tex] undoes the multiplication by [tex]-2[/tex]:
[tex]\frac{-2a}{-2} = \frac{-2c}{-2}[/tex]
[tex]\boxed {a = -c}[/tex]
Therefore, the value of [tex]a[/tex] is [tex]-c[/tex].
Allison works in a department store selling
clothing. She makes a guaranteed salary of $350
per week, but is paid a commission on top of her
base salary equal to 15% of her total sales for the
week. How much would Allison make in a week in
which she made $300 in sales? How much would
Allison make in a week if she made xx dollars in
sales?
Answer:
a. $395
b. $(350 + 0.15x)
Step-by-step explanation:
Her income in a week can be written as;
$350 + 15% of sales
a. In the case of $300 sales in a week
Mathematically, that would be;
$350 + 15% of $300
$350 + (15/100 * 300)
$350 + $45 = $395
b. In the case of $x in sales
= $350 + 15% of x
= $350 + (15/100 * x)
= $350 + 0.15x
= $(350 + 0.15x)
what is the answer to 10 x p + 7 x t
Answer:
10p +7t
Step-by-step explanation:
Hope this helps.
I NEED HELP NOW
ur really gonna need to solve this
10t-5=60
Answer:
[tex] \huge \: t = \frac{13}{2} [/tex]
Step-by-step explanation:
[tex]10t - 5 = 60[/tex]
Using the addition property add 5 to both sides of the equation
That's
[tex]10t - 5 + 5 = 60 + 5 \\ 10t = 65[/tex]
Divide both sides by 10
[tex] \frac{10t}{10} = \frac{65}{10} \\ t = \frac{65}{10} [/tex]
Reduce the fraction with 5
We have the final answer as
[tex]t = \frac{13}{2} \\ [/tex]
Hope this helps you
Answer:
t = 6.5
Step-by-step explanation:
10t - 5 = 60
Add 5 to each side
10t -5+5 = 60+5
10 t = 65
Divide each side by 10
10t/10 = 65/10
t = 6.5
Sam knows that his annual homeowners insurance premium is $0.27 per $100 of value, which usually works out to be $683.10 annually. But Sam is confused by a letter from his insurance company telling him that an increase in the value of his home has led to an increase in his annual homeowners insurance premium. He is now being charged an annual premium of $720.90. Based on the increase in his annual homeowners insurance premium, what was the increase in his home's value? (Note: The cost is still $0.27 per $100, even though the annual premium went up.)
Answer:
C. $14,000
Step-by-step explanation:
If he is now being charged an annual premium of $720.90. The increase in his home's value is $14,000.
Increase in home valueIncrease in home value=[(720.90/0.27)-(683.10/0.27)]×$100
Increase in home value=(2670-2530)×$100
Increase in home value=140×$100
Increase in home value=$14,000
Therefore the increase in his home's value is $14,000.
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Given the function: f (x) = StartRoot 3 x + 6 EndRoot What is the inverse function of f(x)? f Superscript negative 1 Baseline (x) = StartFraction x squared minus 6 Over 3 EndFraction, x ≥ –2 f Superscript negative 1 Baseline (x) = StartFraction x squared minus 6 Over 3 EndFraction, x ≥ 0 f –1(x) = – 6x2 – 3, x ≥ –2 f –1(x) = – 3x2 – 6, x ≥ 0
Answer:
f Superscript negative 1 Baseline (x) = StartFraction x squared minus 6 Over 3 EndFraction, x ≥ –2
Step-by-step explanation:
answer is A on edge
The inverse of a function [tex]f(x) = \sqrt{3x + 6}[/tex] is [tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex].
Here,
A function is given as, [tex]f(x) = \sqrt{3x + 6}[/tex]
We have to find the inverse of given function.
What is Inverse function?
An inverse function is a function that undoes the action of the another function.
Now,
A function is given as, [tex]f(x) = \sqrt{3x + 6}[/tex]
To find inverse function,
Replace f(x) by y in the equation,
[tex]y = \sqrt{3x + 6}[/tex]
[tex]y^{2} = 3x + 6\\y^{2} -6 = 3x \\x = \frac{y^{2} - 6\\}{3}[/tex]
Replace every x by a y and solve for y, we get;
[tex]y = \frac{x^{2} - 6\\}{3}[/tex]
Replace y by [tex]f^{-1} (x)[/tex], we get,
[tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex]
Hence, The inverse of a function [tex]f(x) = \sqrt{3x + 6}[/tex] is [tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex].
Learn more about the Inverse function visit:
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The formula a=1w gives the area A of a rectangle with length I. What is the area in square feet of a rug with a length of 13 feet and a width of 6 feet
Answer:
78
Step-by-step explanation:
Multiply 13 by 6
Morse code uses "dots" and "dashes," which are known to occur in the proportion of 3:4. This means that for any given symbol, P(dot sent) = 3/7 and P(dash sent) = 4/7. Unfortunately, when coded messages are sent, there are sometimes errors in transmission. Suppose there is interference on the transmission line, and with probability 1/8 a dot is mistakenly received as a dash, and vice versa. a) What is the probability that the received symbol is a dot?
Answer: [tex]\dfrac{25}{56}[/tex]
Step-by-step explanation:
Given: P(dot sent) = [tex]\dfrac37[/tex]
and P(dash sent) = [tex]\dfrac47[/tex]
P(dot received) = P(dot received ∩ dot sent)
+ P(dot received ∩ dash sent)
= P(dot received | dot sent)P(dot sent) + P(dash received | dash sent)P(dash sent) [By conditional probability formula]
[tex]=\dfrac78\times\dfrac37+\dfrac18\times\dfrac47=\dfrac{25}{56}[/tex]
Hence, the probability that the received symbol is a dot = [tex]\dfrac{25}{56}[/tex]
Bernie got 15 out of 35 math problems correct on his test. What percent did he
get correct?
he has 42.87 correct, you have to find the percentage of one number in relation to another with the formula percentage = ( number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage
A grocery store advertised a detergent today for $7.99. Why did the store choose to advertise the detergent this way?
A. It is trying to differentiate it from other brands.
B. The store has a shortage of that detergent.
C. Customers' brains tend to notice the first digit first.
D. It wants to encourage customers to donate an extra penny to charity.
Answer:
C. Customers' brains tend to notice the first digit first
Hope this helps!
Today, a detergent was promoted at $7.99 in a supermarket shop. Because customers' brains tend to notice the first digit first, the business decided to market the detergent in this way.
What is brand promotion?Brand promotion uses a variety of tools and techniques to sell your brand while showcasing a company's character, values, and objectives.
It may not necessarily entail outright advertising for the goods or services provided, but it always works to get people to support the brand.
The store chooses to advertise the detergent this way so that customers' brains tend to notice the first digit first.
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HELP!!!! PLZ!!!!!!!!!!!!!!!!!
Answer: A
Cause 10 divided by 1 is 10
Simplify.
-2(w+5) +6w
Answer:
4w - 10
Step-by-step explanation:
Step 1: Write expression
-2(w + 5) + 6w
Step 2: Distribute -2
-2w - 10 + 6w
Step 3: Combine like terms
4w - 10
In the number 543.872, what digit is in the hundreds place?
Answer:
7
it's too short. Write at least 20 characters to explain it well.
Divide up to two decimal places.
12427 by 349
explanation please! thankyou.
12427÷349
35.60744985673352
= 35.61(2d.p)
Explanation:
When you divide it you get 35.60744985673352
To leave it in to 2 decimal place, you are to consider the the third number after the point which in this case is 7. So you check if it is greater than or equal to or less than 5. If it is greater than or equal to 5 you carry forward 1 to the next digit to the left which is 0 in this case which will give you 1, then you retrieve the number plus the first two decimals after the point to get 35.61(2d.p).
Plz help Can you plot the data !
9b) write the equation of your best fitting line.
9c)use your to determine how well you would do if for 4 hours
Answer:
9b y= 15.109t + 56.4
9c 116.836 in 4 hours
Step-by-step explanation:
I used a regression calculator for the first one.
I multiplied 15.109 and 4 because t is the time.
add 56.4