Answer:
[tex]\boxed{\tt \frac{40}{9}} \ \sf or \ \boxed{\tt 4 \frac{4}{9}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to solve for the sum of 2 fractions.}[/tex]
[tex]\large\underline{\textsf{What are Fractions?}}[/tex]
[tex]\textsf{Fractions are representations of rational numbers that can be represented as part}[/tex]
[tex]\textsf{of a whole number.}[/tex]
[tex]\underline{\textsf{What are the parts of a fraction?}}[/tex]
[tex]\textsf{Fractions have 2 parts, they're called the Numerator and the Denominator.}[/tex]
[tex]\frac{\sf Numerator}{\sf Denominator}[/tex]
[tex]\textsf{The Numerator represents the amount of equal parts a certain rational number}[/tex]
[tex]\textsf{has compared to the Denominator. The Denominator represents the total amount}[/tex]
[tex]\textsf{of parts that make a fraction equal to 1. If the Numerator is the same as the}[/tex]
[tex]\textsf{Denominator, then the fraction is just 1. If the Numerator is greater than 1, then}[/tex]
[tex]\textsf{this kind of fraction is considered an Improper Fraction, and improper fractions}[/tex]
[tex]\textsf{are fractions that are improper due to the Numerator being greater than the}[/tex]
[tex]\textsf{Denominator, which means these fractions shouldn't be represented as fractions,}[/tex]
[tex]\textsf{but there's nothing wrong with representing it as a fraction.}[/tex]
[tex]\textsf{Since we know what majority of fractions are, we may begin adding these fractions}[/tex]
[tex]\textsf{which are improper.}[/tex]
[tex]\large\underline{\textsf{How are we able to Add Fractions?}}[/tex]
[tex]\textsf{Adding Fractions is simply adding the Numerators together since the Denominator}[/tex]
[tex]\textsf{can't be changed, if so then the equation won't be equal.}[/tex]
[tex]\textsf{*Remember that when adding fractions we must have common denominators.}[/tex]
[tex]\textsf{This means that we should find the LCM (Least Common Multiple) of the}[/tex]
[tex]\textsf{Denominators.}[/tex]
[tex]\underline{\textsf{For our problem;}}[/tex]
[tex]\textsf{Since we already have Common Denominators, we are able to simply add the}[/tex]
[tex]\textsf{Numerators.}[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{Add the Numerators together.}[/tex]
[tex]\tt \frac{\boxed{\tt 23}}{9} + \frac{\boxed{\tt 17}}{9} =\boxed{\tt \frac{40}9}[/tex]
[tex]\tt \frac{40}{9} \ \textsf{can be our final answer. However, since our sum is an Improper Fraction, it's}[/tex]
[tex]\textsf{greater than 1. Since 40 can divide into 9 about 4 times, our whole number will}[/tex]
[tex]\textsf{be 4, and the remainder will be our fraction.}[/tex]
[tex]\underline{\textsf{Explained in numerical;}}[/tex]
[tex]\tt \frac{40}{9} = \frac{9}{9} + \frac{9}{9} + \frac{9}{9} + \frac{9}{9} + \frac{4}{9} = \boxed{\tt 4 \frac{4}{9}}[/tex]
[tex]*\tt \frac{36}{9} = \frac{4}{1}[/tex]
[tex]\textsf{These are called Whole Number Fractions.}[/tex]
[tex]\large\underline{\textsf{Hence;}}[/tex]
[tex]\tt \frac{23}{9} + \frac{17}{9} = \boxed{\tt \frac{40}{9}} \ \sf or \ \boxed{\tt 4 \frac{4}{9}}[/tex]
[tex]\large\underline{\textsf{Learn more about Fractions;}}[/tex]
https://brainly.com/question/26180542
[tex]\textsf{This answer will give you a great review of how to turn word-form problems into}[/tex]
[tex]\textsf{fractions, and how to simpify those fractions.}[/tex]
A set of data has a correlation coefficient of 0.05. What is the best way to describe the correlation of the data set
A strong negative correlation
B strong positive correlation
C weak postive correlation
D little or no correlation
Select the correct answer.
Why would someone choose to invest rather than depend only on savings?
A. An investment account provides regular income, while money held in a savings account may decrease.
B. An investment account has the potential to earn more money than a savings account.
C. An investment account has a fixed maturity date, but a savings account doesn't.
D. There's less risk of losing money held in an investment account than in a savings account.
Answer:
B
Step-by-step explanation:
Money invested in stock or something else has the potential to grow exponentially (at the risk of losing most of it) vs money in the bank will grow very slowly and may not even keep up with inflation making it worth less than it used to be.
I dont know if question 80 is right but i need help on question 79 and 80
Answer:
not sure about 80 but for 79, the answer is -185
Step-by-step explanation:
P(4)= (4)^3 - 4(4)^2 + 3(4) - 5
P(4)= 64 - 16^2 + 12 - 5
P(4)= 64 - 256 + 12 - 5
P(4)= -185
(sorry if i made a mistake)
What are the odds of not selecting a black 2 in cards
What's the conversion factor used to convert inches to yards?
A. 36 inches in 1 yard
B. 3 inches in 1 yard
0.24 inches in 1 yard
D. 12 inches in 1 yard
Answer:
Option A is the correct answer
Step-by-step explanation:
We know that
1 yard = 3 foot
1 foot = 12 inch
1 yard = [tex]3\times12[/tex] inches
[tex]=36[/tex] inches
Option A is the correct answer
1985 x 99 I already know the answer: 196515
Answer:
196515
Step-by-step explanation:
what is 10+11
what is 12+1
and 10+10
20 + 29
brainliest is the best answer
with neatness
Answer:
10 + 11 = 21
12 + 1 = 13
10 + 10 =20
20 + 29 = 49
Hope that helps. x
a recipe for one batch of Holliday cookies uses 6 tablespoons of frosting for every 16 cookies please awnser quick
Elliot spent $16.15 on ground beef at a grocery store. He purchased 3 and 2 over 5 pounds of ground beef. What is the price per pound of the ground beef at that store?
We want to know how much is the price per pound (or unit rate) of ground beef, given that we know the price for Elliot's purchase. We will see that each pound costs $4.75
So we know that (3 + 2/5) lb of ground beef costs $16.15, the cost of a single pound will be given by the quotient between the total cost and the amount purchased, then we need to solve:
[tex]P =\frac{ \$ 16.15}{(3 + 2/5)lb}[/tex]
We can rewrite the denominator as:
(3 + 2/5)lb = (15/5 + 2/5)lb = (17/5) lb
Replacing that we get:
[tex]P =\frac{ \$ 16.15}{(17/5)lb} = \frac{ \$ 16.15*5}{17lb} = \$4.75 \ per \ lb[/tex]
So each pound of ground beef costs $4.75
If you want to learn more about unit rates, you can read:
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If 3 paintings cost $30, then how much does 1 painting cost?
Answer:
10$
Step-by-step explanation:
because 10$ + 10$ + 10$ equals 30$ so one is 30$
help plssssssssssssssssss
Answer:
Diagonal and horizontal lines
Step-by-step explanation:
To answer this question it is first important to know what a function is. A function is a relationship that has a singular y value for each x-value. This means that x-values will never repeat.
Linear functions are functions that increase in a constant way. Meaning that the slope of the line is constant and there is a common difference between the points. Because the change is constant, there is no change in direction. Thus, the function will be one straight line.
This line can obviously be diagonal because a diagonal line has unique x and y values. However, the line can also be horizontal. Horizontal lines many have repeating y-values but because the x-values don't repeat it is still a function. This reason is also why vertical lines are the only straight line to not be a liner function. In vertical lines, the x-values repeat. So, it does not work as a function.
How to do this problem
Answer: a. y=3 slope = 0
b. x=-4 slope does not exist
Step-by-step explanation:
Josh and Adelina are staff members for a political candidate. They are considering hiring callers who will call
voters and ask for donations.
Josh and Adelina define X as the amount donated by a given voter they call. Based on data from their volunteer
callers, the expected value of X is E(X) = $18.07.
Adelina says, "For every 100 voters we call, we can expect to bring in about $1,807 in total donations."
Josh says, "If we call a very large number of voters, the average donation will be close to $18.07."
Whose statement is correct based on the expected value?
According to the given expected value, it is found that Josh's statement is correct.
The interpretation of the expected value is that over a large number of trials, the average value will be close to the expected value.In this problem, the expected amount donated by a given voter they call is $18.07.
Hence, considering a very large number of voters called, the average amounts of their donations will be close to $18.07, hence, Josh's statement is correct.100 voters is not a large amount, hence the expected value should vary around $18.07, and we can't say that Adelina's statement is correct.You can learn more about expected value at https://brainly.com/question/25858347
Answer:
both correct :)
Step-by-step explanation:
the points (0, p) and (1, 4) lie on a line with a slope of 3. what is the value of p?
Answer:
p=1
Step-by-step explanation:
[tex]\frac{4-p}{1-0}[/tex]=3
4-p=3
p=1
The average of eight different numbers is 5. If 1 is added to the largest number, what is the resulting average of the eight numbers?
Answer:
Step-by-step explanation:
X/8 = 5
X = 40
Adding 1 to the largest number (or any other of the numbers, for that matter) makes the sum 41 and the average 41/8 or 5 1/8.
The average of a given number is the sum of the given numbers divided by the number of numbers in the given set.
The resulting average of the eight numbers after adding 1 to the largest number is 5.125.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
Example:
2, 3, 4, 5
The average number of 1, 2, 4, and 5 is 3.
i.e 12 ÷ 4 = 3
We have,
The average of eight different numbers is 5.
Let the sum of 8 different numbers be M.
Average = M / 8
5 = M / 8
M = 8 x 5
M = 40
Now,
If 1 is added to the largest number.
This means,
40 + 1 = 41
The resulting average of the eight numbers:
= 41/8
= 5.125
Thus,
The resulting average of the eight numbers after adding 1 to the largest number is 5.125.
Learn more about mean here:
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A map scale indicates that .5 inches represents 13 miles. What is the actual distance of two cities that are measured on the map to be 4.5 inches apart?
Round your answer to the nearest integer.
Answer:
9 is the answer, wanna know how?
Step by Step explanation : So you do this and that equals 9.
3----2 = 7
5----4 = 23
7----6 = 47
9----8 = 79
And 19----9 = ??????
Answer:
i think 179
Step-by-step explanation:
(3×2)+(2-1) = 7
(5×4)+(4-1) = 23
(7×6)+(6-1) = 47
(9×8)+(8-1) = 79
so 19----9 = (19×9)+(9-1) = 171+8 = 179
A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a continuous quantitative variable that might be included in the brochure
A.number of seats
B.type of transmission
C.presence of a sunroof
D.fuel efficiency (in mpg)
Answer:
Its Number of Seats
Step-by-step explanation:
А There are 84 boys and 72 girls in the sixth grade. Jerod says that the ratio of girls to boys is 6:7. Is he correct? Why or why not? 23 Maneuvering the Middle LLC. 2015
Answer:
He is correct
Step-by-step explanation:
72 girls and 84 boys
Divide both numbers by 12
6 : 7
He is correct
Jerod says that the ratio of girls to boys is 6:7 is correct.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that in the sixth grade there are 84 boys and 72 girls
Jerod says that the ratio of girls to boys is 6:7
We need to check whether Jerod statement is correct or incorrect
Now the number of boys=84
The number of girls=72
Now divide the number of girls by number of boys
72/84
6/7
So Jerod statement is true
Hence, Jerod says that the ratio of girls to boys is 6:7 is correct.
To learn more on Ratios click:
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Two same-sized triangular prisms are attached to a rectangular prism as shown below.
If a = 20 cm, b = 13 cm, c = 12 cm, d = 5 cm, and e = 8 cm, what is the surface area of the figure?
a 1,208 square centimeters
b 1,592 square centimeters
c 1,004 square centimeters
d 1,400 square centimeters
Answer:
answer will be a 1,208 square centimeters
Find the area of the figure. (Sides meet at right angles.)
Answer:
51
Step-by-step explanation:
if there isn't such an answer tell me so that I can try again.goodbye
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )
Answer:
x=3
Step-by-step explanation:
What u should always do is look at the letters of the triangles given:
It will tell u that:
[tex] \frac{tu}{dc} = \frac{uv}{cb} [/tex]
Now we once again just sub in the values:
[tex] \frac{12}{9} = \frac{20}{4x + 3} [/tex]
we can simplify the fraction on the right
[tex] \frac{4}{3} = \frac{20}{4x + 3} [/tex]
And now we cross multiply
3×20=4(4x+3)
60=16x+12
60-12=16x
48=16x
Therefore :
x=3
Supposed there is a 1.3f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 61.9f what will be the temperature when the plane reaches an altitude of 8,000ft
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Answer:
51.5
Step-by-step explanation:
8000/1000=8
8x1.3=10.4
61.9-10.4
5x + 3y = 41
2x + 3y = 20
show me step by steps how to do this
Answer:
x=7 and y=2
Step-by-step explanation:
In this case, you want to use elimination
1. multiply the second equation by -1
5x + 3y = 41
2x + 3y = 20
turns into
5x + 3y = 41
-2x + 3y = 20
2. combine the equations
3x=21
3. solve for x
3x=21
3x/3=21/3
x=7
4. Now you want to plug x back into the original equation
5x+3y=41
turns into
5(7)+3y=41
5. Then solve for y
35+3y=41
35+3y-35=41-35
3y=6
3y/3=6/3
y=2
6. results
x=7 and y=2
what is an equation of the line that passes through points (-7,-5) and (-7,-2)?
Answer:
I think I've answered this question already.
Step-by-step explanation:
equivalent fractions
Answer:
1. 1[tex]\frac{1}{2}[/tex]
2. 1[tex]\frac{3}{10}[/tex]
3. [tex]\frac{1}{3}[/tex]
4. 1[tex]\frac{2}{7}[/tex]
Step-by-step explanation:
I hope this helps!!
What is the solution
Answer:
the answer is -21
Step-by-step explanation:
(4²-42)+(3²-4)
=16-42+(9-4)
=-26+5
=-21
A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
The sum of the given series can be found by simplification of the number
of terms in the series.
A is approximately 2020.022Reasons:
The given sequence is presented as follows;
A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021
Therefore;
[tex]\displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}[/tex]The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;
[tex]\displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}[/tex]Therefore, for the last term we have;
[tex]\displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}[/tex]2 × 2043231 = n² + 3·n + 2
Which gives;
n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0
Which gives, the number of terms, n = 2020
[tex]\displaystyle \frac{A}{2} = \mathbf{ 1011 \cdot \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460} \right)}[/tex]
[tex]\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2} +\frac{1}{2} - \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022} \right)[/tex]
Which gives;
[tex]\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2022} \right)[/tex]
[tex]\displaystyle A = 2 \times 1011 \cdot \left(1 - \frac{1}{2022} \right) = \frac{1032231}{511} \approx \mathbf{2020.022}[/tex]
A ≈ 2020.022Learn more about the sum of a series here:
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A is equal to 1,685.00049.
Given that A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021, the following calculation must be performed to determine the result of this operation:
337/2 = 168.5 1011/10 = 101.1 337/5 = 67.4 1/2021 = 0.00049 1011 + 337 + 168.5 + 101.1 + 67.4 + 0.00049 = A 1685.00049 = A
Therefore, A is equal to 1,685.00049.
Learn more about maths in https://brainly.com/question/25273534
TRUE OR FALSE
There are whole numbers that are not integers.
There are rational numbers that are not whole
numbers.
All rational numbers are integers.
All whole numbers are rational numbers.
ANSWERS:
[tex]1. False \\ 2. True \\ 3. False \\ 4. True \\ [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
3. A store is having a sale to celebrate President's Day. Every item in the store is advertised as one-fifth (1/5)off
the original price. If an item is marked with the original price of $175, what is the sale price? Show your
work.
Step-by-step explanation:
1/5 of 175
=1/5×$175
=$35
sale price = original price - discount price
= $175 -$35
= $140