Answers
Step-by-step explanation:
Note: I'm only providing solutions for Problem 9.
9. Simplify the following by collecting like terms:
Combining like terms involve performing the required mathematical operations (using the PEMDAS rule). The terms must have the same degree (or exponents).
a) 3a + 7a
Add the coefficients of both terms.
3a + 7a = 10a
b) 4n + 3nAdd the coefficients of both terms.
4n + 3n = 7n
c) 12y - 4ySubtract the coefficient of both terms.
12y - 4y = 8y
d) 5x + 2x + 4xAdd the coefficients of all terms.
5x + 2x + 4x = 11x
e) 6ab - 2ab - baThe last term, "ba," can be rewritten as, "ab." Remember that with algebraic expressions such as "ab," it essentially involves multiplication of both variables within the same term. Thus, ab = a × b. The variables ab also have a numerical coefficient of 1: 1a × 1b.
Now, we can perform the subtraction on all terms:
6ab - 2ab - ab = 3ab.
f) 7mn + 2mn - 2mnSubtract 2mn from 2mn, which leaves you with 7mn:
7mn + 2mn - 2mn = 7mn
g) 4y - 3y + 8For this algebraic expression, you could only combine the terms with the same variable and degree. Therefore, you'll have to subtract 3y from 4y, leaving the constant, 8, unaffected.
4y - 3y + 8 = y + 8
h) 7x + 5 - 4x
Similar to question g, only combine the terms with the same degree and variable, leaving the constant unaffected.
7x + 5 - 4x = 3x + 5
i) 6xy + xy + 4y
You could only combine the terms with the same set of variables and degree, which are the first two terms on this given question. You cannot combine the last term, 4y, into the other terms.
6xy + xy + 4y = 7xy + 4y
j) 5ab + 3 + 7ba
Using the same reasoning as in question e: the last term, 7ba, can be rewritten as 7ab, for which you could combine with the first term, 5ab.
5ab + 3 + 7ba = 12ab + 3
k) 2 - 5m - mCombine the like terms, which are the second and the last term.
2 - 5m - m = 2 - 6m
l) 4 - 2x + x
Combine the like terms, which are the second and the last term.
4 - 2x + x = 4 - x
Related Questions
How do I do this math !
Answers
Answer:
The equation of a straight line is always
[tex]y=mx+b[/tex]
The constant m always refers to the slope, and the constant b always refers to the y-intercept.
Simply substitute the numbers in:
[tex]y=-\frac{1}{2}x+3[/tex]
There's your equation!
50° x
how to find value of unknown angle
Answers
Answer:
a) 50
b) 86
c) x = 130 y = 50
Step-by-step explanation:
Opposite angles that share the same lines are always the same.
Crafts Unlimited sells ribbon by the foot. Serena needs ribbon
for an art project. The cost of the ribbon is 5 feet for $3.00.
Feet of Ribbon 1 5 10 15
Cost (in dollars) $3.00
a. Complete this ratio chart based on the information provided.
b. How many feet of ribbon can Serena buy for $12.00?
c. If Serena needs 17 feet of ribbon, how much will she pay?
How do you know?
Answers
The completed ratio chart is provided below:
Feet of Ribbon 1 5 10 15
Cost $0.60 $3 $6 $9
The amount Serena would get if she has $12 is 20 yards.
The amount Serena would pay if she wants 17 feet of the ribbon is $10.20.
The first step is to determine the unit cost of a ribbon.
Unit cost of a ribbon = $3 / 5 = $0.60
The cost of 10 feet of the ribbon = $0.60 x 10 = $6
The cost of 15 feet of the ribbon = $0.60 x 15 = $9
The feet of ribbon Serena can buy if she has $12 = $12 / $0.60 = 20 yards.
The cost of 17 feet of the ribbon = $0.60 x 17 = $10.20
To learn more, please check: https://brainly.com/question/12528427
Felicia bought 20.8 gallons of gasoline. There are approximately 3.8 liters in 1 gallon.
Answers
Answer:
79.04 liters
Step-by-step explanation:
20.8 x 3.8 = 79.04
simplify the square root of -180
please show work
Answers
Answer:
6sqrt5
Step-by-step explanation:
Express 24 minutes as a fraction of 2'/2 hours.
Answers
Step-by-step explanation:
1hr = 60
½ hr = 30
60 + 30 = 90
help me please !!!!!!
KS3 YEAR 8 maths!
super confused ♀️♀️
Answers
Answer:
9:29pm
Step-by-step explanation:
Need all of these answered please
Answers
alternate entireror angles are congurent by this rule you can find your answer by solving the equation
The table below provides the values of the functions g(t) and h(t) for
several values of t.
Which of the following is a solution to the equation f(t)=h(t)
Answers
Answer:
D) t = 5
Step-by-step explanation:
when t =5 both functions have the same x and y value
An unopened bag of gummy bears weighs 2 1/3 ounces. Drayven has 3/4 of a bag of gummy bears and Akila has 2/3 of a bag. Who has more? If they put their bags together, would they have more than one bag? Explain your answer.
Answers
Answer:
Drayven has more
Step-by-step explanation:
If you look at the fractions through a drawing you would see that my claim is correct.
Which number should be multiplied by 45 so that it will have 3 nct prime factors?
Answers
Answer:
2
Step-by-step explanation:
An eight-sided dice numbered from 1 to 8 is rolled 80 times to determine whether it is fair, a If the dice is fair, how many of each number would you expect to get?
Answers
Answer:
10 times for each number
Step-by-step explanation:
:)
Answer:
10
Step-by-step explanation:
if the dice is fair, the sides will land one time every 8, so if its rolled 80 time, and it was equal 10 would be your answer.
dont sound so smart doing it she will know
Answers
Jeremy is incorrect because a negative plus a negative will always be a negative.
There are m marbles in a bag. Write an expression for the number of marbles in the bag when 4 marbles are taken away
Answers
Answer:
m-4
Step-by-step explanation:
4 marbles taken away = -4 marbles
How many solutions for
55l=50l+5
Answers
Answer:
Zero
Step-by-step explanation:
The question is impossible to answer. 501+5 does not equal 551, 501+5 equals 506.
These points are linear.
Find the slope.
M=?
Answers
Answer:
Step-by-step explanation:
(5, 0) (6, 8)
(8 - 0)/(6 - 5) = 8/1 = 8
40 points! Help (Vectors)
Answers
Answer:
distance, speed, time, temperature , work, energy, charge, voltage are all scalar quantities. Displacement, velocity, acceleration, force, electromagnetic field are all vector quantities.
Step-by-step explanation:
Displacement and velocity.
At the store the ratio of books sold to movies sold was 4:5.For every_books sold there were _ movies sold.
Answers
Answer:
At the store the ratio of books sold to movies sold was 4:5.For every 4 books sold there were 5 movies sold.
Step-by-step explanation:
The percent of Ivy Tech students receiving financial aid in 2018 was 82%, this was a 9.8% relative increase from 2017. What would the percent of students receiving aid in 2017 have been?
Answers
Natasha earns $425 a week. How many weeks does it take before she has
earned more than $12, 000
Answers
Answer:
29
Step-by-step explanation:
12000/425
Question
Given that the market basket for gardening was $\$131.17$ last year and $\$131.96$ this year, what was the inflation rate?
(Round your answer to the nearest hundredth of a percent.)
Answers
Answer:
0.006%
Step-by-step explanation:
minused old price from the new one and then divided the answer by the old price
Read and analyze the following. Write the correct answer.
1. What is a way of comparing two or more quantities?
2. What is the statement of equality between two ratio? Write a ratio of the following:
3. ?
4. ?
5. Compare the number of balloons to party hats. 三
6. Express the ratio in its simplest form the given figure in number 4. 7. Express the given ratio of four one-peso coins to Php80.00 coins in its simplest form using colon form. answer it with solution pls
Answers
Ratios are simply used to compare two or more related quantities
(a) Comparing quantities
To compare quantities, we make use of ratios.
Hence, a way to compare two or more quantities is by using ratio
(b) Statement of equality between ratios
When two or more ratios are equal, the ratios are said to be equivalent ratios
Hence, the statement of equality between ratios is equivalent ratios
(c) Express (3) and (4) as ratios
There are 10 stars and 8 crosses.
So, the ratio is 10 : 8
There are 3 toys and 9 books.
So, the ratio is 3 : 9
(d) Compare balloons and party hats
There are 12 balloons and 18 party hats.
So, the ratio is 12 : 18
Reduce the ratio as follows:
12 : 18 = 2 : 3 ---- this is done by dividing 12 and 18 by 6
So, the comparison is:
There are 2 balloons for every 3 party hats
(e) Simplify (4)
In (4), we have:
Ratio = 3 : 9
Divide by 3
Ratio = 1 : 3
Hence, the simplified ratio is 1 3
(f) Express the currency ratio in its simplest form
The ratio is given as:
Ratio = 4 * 1 peso coin : Php80.00 coin
Evaluate the product
Ratio = 4 peso coin : Php80.00 coin
Divide both sides by 4
Ratio = 1 peso coin : Php20.00 coin
Hence, the simplest form of the ratio is 1 : 20
Read more about ratios at:
https://brainly.com/question/25326254
an oven has a maximum temperature of 220°c.what will it be in 2 days time
Answers
Answer:
Well I assume 220ºC.
Step-by-step explanation:
That is the MAXIMUM temperature of the oven
Choose all of the equations that are equivalent to 8k = 20.
Answers
Answer:
D
Step-by-step explanation:
it's 100% I'm super sure
passes through (2,-3) with a slope of -9/2
Answers
Answer:
y = — 9/2x + 6
Step-by-step explanation:
m= —9/2
y — y1 = m (x — x1)
y + 3 = —9/2 (x — 2)
y = — 9/2x + 6
Find x using the pictures below please. Will mark branliest for first reply.
Answers
Step-by-step explanation:
a) We are going g to use the definition of tangent to find x:
[tex]\tan{18°} = \dfrac{opp}{adj} = \dfrac{15}{x}[/tex]
[tex]\Rightarrow x = \dfrac{15}{\tan{18°}} = 46.2[/tex]
b) To solve this problem, we are going to use the definition of cosine:
[tex]\cos{70°} = \dfrac{adj}{hyp} = \dfrac{x}{46}[/tex]
[tex]\Rightarrow x = 46\cos{70°} = 15.7[/tex]
2. If (2, 3) is an ordered pair of the
function F(x), which of the following
must be an ordered pair of the inverse
of F(x)?
Answer Choices:
(3, 2)
(-2,-3)
(2,3)
(-3,-2)
Answers
Answer:
Inverse: (3, 2)
Step-by-step explanation:
Given the point, (2, 3), as an ordered pair of the function, f(x):
Since we know that for any functions, there is a one-to-one correspondence between each domain and range values. Conversely, each range value also corresponds to one domain value.
The inverse of a function, [tex]f^{-1}(x)[/tex], also has a one-to-one correspondence. Simply put, we are essentially switching the x and y values to determine the inverse of a function.
Therefore, given the ordered pair from f(x) = (2, 3), then the corresponding coordinates in the inverse function, [tex]f^{-1}(x)[/tex], must be (3, 2).
Suppose you are reviewing your cell phone bill on Friday and you notice you go over your data limit 49% of the time. You
review the weather forecast for tomorrow that says there is a 11% chance of rain. Assuming rain and going over in data are
independent events, what is the probability that it rains and you go over in data tomorrow? Give your answer as an exact
fraction and reduce the fraction as much as possible.
Answers
Probability that it rains and you go over in data tomorrow = 0.0539
Percentage of time it takes to go over your data limit = 49%
Probability that you go over your data limit, P(data) = 49/100
P(data) = 0.49
The chance that it rains tomorrow = 11%
Probability that it rains tomorrow, P(rain) = 11/100
Probability that it rains tomorrow, P(rain) = 0.11
Probability that it rains and you go over your data tomorrow = P(rain) x P(data)
Probability that it rains and you go over in data tomorrow = 0.11 x 0.49
Probability that it rains and you go over in data tomorrow = 0.0539
Learn more here: https://brainly.com/question/25537557
Write an algebraic expression for the verbal expression: "7 times the sum of a squared and b minus 4 times the sum of a squared and b".
Answers
Solve the Quadratic
Solve for x. Write in simplified radical form.
2x^2 + 3x – 20 = 0
Solution 1:
Solution 2:
Answers
~quadratic equation
======================
2x² + 3x - 20 = 0
= a + b = 3
= ab = 2(-20) = -40
= a = -5
= b = 8
= (2x² - 5x) + (8x - 20)
= x(2x - 5) + 4(2x - 5)
= (2x - 5) (x + 4)
= Solution 1 : x = 5/2 ✔️
Solution 2 : x = -4 ✔️
~ nice to help you ^^
[tex]2x^2 +3x -20 =0\\\\\\\implies x = \dfrac{-3 \pm \sqrt{(-3)^2 - 4 \cdot 2 \cdot (-20)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{-3 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{-3\pm 13} 4 \\\\\\\text{Hence} \\\\x = \dfrac{-3+ 13}{4} = \dfrac{10} 4 = \dfrac{5}2\\\\\text{Or}\\\\x= \dfrac{-3-13}4 = -\dfrac{16}4 =-4[/tex]