Answer:
5/6 and 1/4
Step-by-step explanation:
In order to add and subtract fractions, you have to first find a common denominator for both fractions. So, for your first question 1/3 + 1/2, your common denominator would be 6 because it is the least common multiple. So, multiply the top and bottom of 1/3 by 2 to get 2/6 and multiply the top and bottom of 1/2 by 3 in order to get 3/6. Next add your products together 2/6 + 3/6 but only add the numerator, not the denominator. Finally you get, 2/6 + 3/6 = 5/6.
For your second equation, you basically do the same thing, but for the last part, you subtract instead. First, find the least common multiple (common denominator) for 2 and 4, which is 4. Since, 3/4 already has a denominator of 4, you don't have to change that fraction at all, just change 1/2. Next multiply the top and the bottom of 1/2 by 2 to get 2/4. Finally, subtract 3/4 - 2/4 = 1/4.
Hope this helps! Please mark Brainliest! :)
Answer:
1. 5/6
2. 1/4
Step-by-step explanation:
1. 1/3 + 1/2
Step 1. Find a common denominator for both fractions (by taking the denominator and finding their least common multiple)
Answer:
3: 3, 6, 9, 12, 15,…
2: 2, 4, 6, 8, 10,…
The least common multiple will be 6
So the new denominator for both fractions is 6
Step 2. Rewrite the fractions using the same denominator
Answer:
1/3 = ?/6 1/2 = ?/6
1/3 = 2/6 1/2 = 3/6
(To get the numerator of the fraction, note that to get the denominator by a number being multiplied by that number, that same number as to be multiplied to the numerator)
Step 3. Add (2/6 + 3/6)
Answer:
2/6 + 3/6 = 5/6
(Denominator stays the same when subtracting or adding)
——————————————————-
2. 3/4 - 1/2
Step 1. Find a common denominator for both fractions (by taking the denominator and finding their least common multiple)
Answer:
2: 2, 4, 6, 8, 10,…
4: 4, 8, 12, 16, 20,…
The least common multiple will be 4
So the new denominator for both fractions is 4
Step 2. Rewrite the fractions using the same denominator
Answer:
3/4 = ?/4 1/2 = ?/4
3/4 = 3/4 1/2 = 2/4
(To get the numerator of the fraction, note that to get the denominator by a number being multiplied by that number, that same number as to be multiplied to the numerator)
Step 3. Subtract (3/4 - 2/4)
Answer:
3/4 - 2/4 = 1/4
(Denominator stays the same when subtracting or adding)
•••••••••••••••••••••••••••••••••
Which function represents the graph below?
Answer:
The inequalities all need to be of the form a < x ≤ b. Only the first selection matches that requirement.
Step-by-step explanation:
5. Two unbiased dice are rolled. Calculate the probability that the sum of the two dice is:
ws
(a) 4
(b) 7
(c) Less than 7
help it's due in 20 minutes
Answer:
Its the first one | -9 | < | 9 |
Step-by-step explanation:
its false because both sides are identical
Hope this helps!
Answer:
Choice AStep-by-step explanation:
|-9| = |9| = 9, not true-2² = -4 < 3, true-7≤-5, true|-1| = 1 ≥ 0, trueAn operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 331331 watts with a variance of 144144. What is the probability that the mean amplifier output would be greater than 332.8332.8 watts in a sample of 4949 amplifiers if the claim is true
Answer: brother
Step-by-step explanation:
represent 21/14 and -20/8 on the number line
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
SOMEONE PLEASEEEEEEEEEE HELP!!!!!!!!1
Answer: Angle LMN = 45
Step-by-step explanation:
The line MN will be parallel to the side Line JK
And LJ will be transversal
Therefore
Angle LMN = LJK (Corresponding angles)
ATQ
⇒3 + 6x = 101 - 8x
⇒6x + 8x = 101 -3
⇒14x = 98
⇒x = 98/14
⇒x = 7
Angle LMN = 3 + 6x
= 3 + 6(7)
= 3 + 42
= 45
Therefore Angle LMN will be 45°
Must click thanks and mark brainliest
Is this a function graph
Answer:
No, it is not a function graph, as there are no variables present in this image.
Drag the tiles to the correct boxes to complete the pairs.
Given that x= 3 + 81 and y= 7 - 1 match the equivalent expressions.
-15 + 19
58 + 106
-&
411
-29 - 531
I. 2y
-
y
–50 ty
23 - 3y
9514 1404 393
Answer:
58 +106i-29 -53i-8 -41i-15 +19iStep-by-step explanation:
For the purpose of selecting the appropriate tile, it is only necessary to figure the real part of the sum or product.
We notice that the second product (-xy) is -1/2 times the first product (2xy). This can let you find the answers on that basis alone. The only tiles with a (-1) : (2) relationship are (-29 -53i) : (58 +106i).
__
The sum -5x +y has a real part of -5(3) +7 = -8.
The sum 2x -3y has a real part of 2(3) -3(7) = 6 -21 = -15.
Hence the sequence of answers needed on the right side is as shown above.
_____
Additional comment
You know that arithmetic operations with complex numbers (multiplication and addition) are identical to those operations performed on any polynomials. That is, "i" can be treated as a variable. The simplification comes at the end, where any instances of i² can be replaced by -1.
xy = (3 +8i)(7 -i) = 3·7 -3·i +8·7·i -8·i·i = 21 +53i -8i²
= (21 +8) +53i . . . . replaced i² with -1, so -8i² = +8
= 29 +53i
Which decimal number is less than 1.56?
The decimal number is 0.9
At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .50. Find the probability that in a sample of 14 customers, at least 7 will order a nonalcoholic beverage
For each customer, there are only two possible outcomes. Either they will order an alcoholic beverage, or they will not. The probability of a customer ordering an alcoholic beverage is independent of any other customer, which means that the binomial probability distribution is used to solve this question..
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .50
This means that [tex]p = 0.5[/tex]
Sample of 14 customers
This means that [tex]n = 14[/tex]
Probability that at least 7 will order a nonalcoholic beverage
This is:
[tex]P(X \geq 7) = 1 - P(X < 7)[/tex]
In which
[tex]P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]
Then
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{14,0}.(0.5)^{0}.(0.5)^{14} = 0.0001[/tex]
[tex]P(X = 1) = C_{14,1}.(0.5)^{1}.(0.5)^{13} = 0.0009[/tex]
[tex]P(X = 2) = C_{14,2}.(0.5)^{2}.(0.5)^{12} = 0.0056[/tex]
[tex]P(X = 3) = C_{14,3}.(0.5)^{3}.(0.5)^{11} = 0.0222[/tex]
[tex]P(X = 4) = C_{14,4}.(0.5)^{4}.(0.5)^{10} = 0.0611[/tex]
[tex]P(X = 5) = C_{14,5}.(0.5)^{5}.(0.5)^{9} = 0.1222[/tex]
[tex]P(X = 6) = C_{14,6}.(0.5)^{6}.(0.5)^{8} = 0.1833[/tex]
So
[tex]P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0001 + 0.0009 + 0.0056 + 0.0222 + 0.0611 + 0.1222 + 0.1833 = 0.3954[/tex]
[tex]P(X \geq 7) = 1 - P(X < 7) = 1 - 0.3954 = 0.6046[/tex]
0.6046 = 60.46% probability that at least 7 will order a nonalcoholic beverage.
For more on the binomial distribution, you can check https://brainly.com/question/15557838
A math teacher needs to choose 6 students from a class of 30 to go to the library. How many different groups can she select?
No if groups=No of students/no of students in each groups
[tex]\\ \sf\longmapsto \dfrac{30}{6}[/tex]
[tex]\\ \sf\longmapsto 5groups[/tex]
PLS SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
10 is -5
Step-by-step explanation:
17. what is the value of x?
18. what is the value of z?
please help me fast!!
for x ,
8x + 10x = 180°
[sum of linear pair is equal to 180°]
or, 18x = 180°
or, x = 180/18
therefore, x = 10°……
for z,
10z =8x
[ being corresponding angles are equal ]
or, 10z = 8 × 10°
( replacing x by 10°)
or, 10z = 80°
or, z = 80/10
thus z = 8°…………
An oil company is going to issue new ID codes to its employees. Each code will have one letter, followed by one digit, followed by three letters. The letters w, x, y, and z will not be used. So, there are 22 letters and 10 digits that will be used. Assume that the letters can be repeated. How many employee ID codes can be generated?
Answer:
2342560 combos
Step-by-step explanation:
so its 1 letter*1number*1 letter*1 letter*1 letter, or 22x10x22x22x22 which should equate to 2342560 possible ID codes, hope this helps :)
The king and queen spent $1500 on decorations for the ball +8 dollars per guest for party favors. The king and queen are charging each guest $12 to enter the dance. How many guests must come to the ball for the king and queen to break even? (you must write an equation and then solve)
Answer:
375 guests
Step-by-step explanation:
costs: 1500 + 8g
income: 12g
They must be equal
1500+8g = 12g
Subtract 8g from each side
1500 +8g-8g =12g-8g
1500= 4g
Divide by 4
1500/4 = 4g/4
375 = g
Please help I don’t know the answer
The last option is none of the above
Answer:
The two lines are:
y=x+2 and y=-2x+6
Dotted lines represent < or >, whereas the opposite is true for solid lines.
So the correct answer is the first option.
Hope this helps!
Convert the following equation
into standard form.
y = 7 - 7x
[?]x + y = []
Answer:
[tex]y = 7 - 7x \\ y + 7x = 7 \\ 7x + y = 7[/tex]
Answer:
7x + y = 7
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y = 7 - 7x ( add 7x to both sides )
7x + y = 7 ← in standard form
(2X²+3X-1)+(X²-2X+3)
Answer:
3x^2+x+2
Step-by-step explanation:
Let's simplify step-by-step.
2x2+3x−1+x2−2x+3
=2x2+3x+−1+x2+−2x+3
Combine Like Terms:
=2x2+3x+−1+x2+−2x+3
=(2x2+x2)+(3x+−2x)+(−1+3)
Find the equation of the line: parallel to 3x - y = 11 through (-2,0)
Answer:
y=3x+6
Step-by-step explanation:
The slope of the line is 3 and the equation will be y=3x+6
Answer:
3
Step-by-step explanation:
dont put this in cuz it wrong ♂️
Which of the two functions below has the smallest minimum y-value?
f(x) = 4(x - 6)4 + 1
g(x) = 2x3 + 28
O A. g(x)
B. f(x).
C. The extreme minimum y-value for f(x) and g(x) is --
D. There is not enough information to determine
Answer:
Answer A
Step-by-step explanation:
[tex]\displaystyle \lim_{n \to -\infty} (3x^3+28)=-\infty\\\\minimum\ of \ f(x)=6\\\\Answer\ A[/tex]
x = either 100 , 140 , or 120
translate into a variable expression and then simplify. five times the sum of a number and four
Answer:
5(n+4)
5n+20
Step-by-step explanation:
Let n be the number
5* (n+4)
Distribute
5n+20
A hot air ballon is hovering 94 meters above the ground and begins to assend at a rate of 8 meters per second Let y be the height of the balloon in meters seconds after it begins to assend. Write an equation in slope-intercept form that models the height of the balloon. And how high is the ballon after 25 seconds?
Hi
let's call X amount of second going and Y the height reach by the ballon.
so Y=8X+94
f(x) = 8X+94
If you want to know how high will the ballon be in 25 seconds, remplace X by 25 and do the math. Have fun .
HURRY PLEASE!!!!!
All of the following expressions are equal except ____. 1/4^3 4^2/4^5 4^5/4^2 4^-3
Answer:
4^5/4^2
Step-by-step explanation:
We know 1/a^b = a^-b
a^b/ a^c = a^(b-c)
1/4^3 = 4^-3
4^2/4^5 = 4^(2-5) = = 4^-3
4^5/4^2 = 4^(5-2) = 4^3
4^-3
Answer:
[tex]4^{5}/5^{2}[/tex] = not the same
Step-by-step explanation:
you have the equations
[tex]1/4^{3} = 0.015625\\\\4^{2}/4^{5} = 16/1024 = 0.015625\\\\4^{5}/4^{2} = 1024/16 = 65\\\\4^{-3} = 0.015625[/tex]
Choose the number that belongs to the set described
Answer:
Natural numbers,integers, rational numbers, irrational numbers.
find x and y on triangle
Also the degree is 30 and the other thing is 7sqrt3
Answer:
y =7
x =14
Step-by-step explanation:
Since this is a right triangle we can use trig functions
tan 30 = opp /adj
tan 30 = y/ 7 sqrt(3)
7 sqrt(3) tan 30 = y
7 sqrt(3) * 1/ sqrt(3) =t
7 =y
sin 30 = opp/ hyp
sin 30 = 7/x
x sin 30 =7
x = 7/ sin 30
x = 7 / 1/2
x = 14
josue bought 7 pounds of pretzels at a local wholesaler for $16.80. his friend ricardo bought 5 pounds of pretzels at the supermarket for $12.75. Ricardo thinks he got the better deal because $12.75 is less than $16.80. Is Ricardo's reasoning correct? Explain why or why not.
The employee engagement score for a team was 4.89 this month. The score has been improving at a rate of 12% per month. What was the score 4 months ago?
The engagement score in 4 months would be 7.69
We are to determine the future value of engagement score in 4 months
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value = 4.89
R = rate of increase = 12%
N = number of months = 4
4.89 ( 1.12)^4 = 7.69
To learn more about future value, please check : https://brainly.com/question/2472793?referrer=searchResults
(-72)(-15)= explain
Maite has money in an interest-bearing account. The table shows how much money is in the account at the end of each year.
N
Year Amount
1 $1,000.00
$1,030.00
3 $1,060.90
4 $1,092.73
5 $1,125.51
This situation represents
sequence.
The common
is
At the end of the seventh year, Maite will have $
in the account
Determining how much money will be in the account of Maite at the end of each year, we use an exponential growth factor, since this is a geometric sequence.
1. This situation represents a geometric sequence.
A geometric sequence increases by a common exponential growth factor.
2. The common exponential factor is 1.03 (which gives a growth rate of 3% annually). See how this factor is determined below.
3. At the end of the seventh year, Maite will have $1,194.05 in the account. See the calculation below.
Data and Calculations:
Year Amount
1 $1,000.00
2 $1,030.00
3 $1,060.90
4 $1,092.73
5 $1,125.51
6 $1,159.27 ($1,125.51 * 1.03)
7 $1,194.05 ($1,159.27 * 1.03)
The common exponential factor = 1.03 (1 + 0.03)
To obtain the common exponential factor, subtract Year 2 account balance from Year 1 account balance. Divide the result by Year 1 account balance. This operation can also be carried out with Year 2 and Year 3 balances or Year 4 and Year 5 balances.
To determine how much money will be in the account of Maite at the end of Year 6, using Year 5 as a base = (Year 5 account balance * Exponential Factor)
= $1,159.27 ($1,125.51 * 1.03)
To determine Year 7 account balance, we use Year 6 above as the base
= $1.194.05 ($1,159.27 * 1.03)
Learn more about geometric sequence and exponential growth here: https://brainly.com/question/7154553
Answer:
This situation represents a geometric sequence.
The common ratio is 1.03
At the end of the seventh year, Maite will have $1,194.06 in the account.
Step-by-step explanation:
Plato