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
Six times a number plus 7 is equal to 55. What is the number?
Answers
Answer:
6x_+7=55, the answer is 13, why? well because if you add 6+7 you will have 13, now you can multiple that by 5, and you will have 55 as an answer, did I helped you?
Quadrilateral ABCD has the following angle measures. Find the Measure of angle A.
B: 59°
C: 103°
D: 100°
Answers
Answer:
∠A = 98
Step-by-step explanation:
total sum of angles in a quadrilateral is 360
∠A + ∠B + ∠C +∠D = 360
∠A + 59 + 103 + 100 = 360
∠A + 262 = 360
∠A = 360- 262
∠A = 98
10 4/5+(8 3/4−6 1/2) no files plz you dont have to explain it either
Answers
Answer:
11
Step-by-step explanation:
10×4/5+(8×3/4-6×1/2)=8+6-3=14-3=11
9. Machine Trades Find the width X of the V-thread shown. (Round to the
nearest thousandth.)
Answers
Answer:
X would be 1,000
Step-by-step explanation:
100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!
Solve 7x2 – 3x – 10 = 0 using the quadratic formula.
Question 15 options:
A)
x = –2, 20∕7
B)
x = 20, –14
C)
image
D)
x = –1, 10∕7
Answers
Answer: D is my best guess
Step-by-step explanation:
Find the 91st term of the arithmetic sequence 5, -14, -33, ...5,−14,−33,...
Answers
Answer:
1724
Step-by-step explanation:
first find the nth term = -19n+5
then do -19×91+5= 1724
If P = {3, 5, 7, 11, 13, 17, 19), what is n(P)?
Answers
Answer:
the n(P) of P = {3, 5, 7, 11, 13, 17, 19} is "128".
Step-by-step explanation:
n(P) is the Cardinality of the set P. Its formula is 2^k.
where k = number of elements in the set.
Hope this helps :)
A company charges $60 per day plus $0.50 per mile for truck rentals. If Greg rents a truck for 3 days and drives 150 miles, how much will the company charge?
Answers
Answer:
$255
Step-by-step explanation:
Equation would be
60x+0.5y= $ charged
x= days
y = per mile
60 * 3 + 0.5 * 150 = $
180+75=
=255
Greg would have to pay $255
Hope this helps!
(Pls mark brainiest)
Thanks!
A carton contains 1.92 liters of milk. There are 8 servings in the carton. How many liters of milk are in each serving?
Answers
Answer:
0.24 liters per serving (240 ml)
Step-by-step explanation:
[tex]1.92/8=0.24[/tex]
equivalent to 240 mililiters
Hope this helps
Twelve pounds of the element plutonium is released in a nuclear accident. The amount of plutonium P that is present after t months is given by P(t)=12e^-0.1507t. What amount of plutonium remains after 36 months? Round to two decimal places.
Answers
The amount of Plutonium that remains after 36 months is 0.05
The equation for the amount of Plutonium after t months is
[tex]\mathbf{P(t) = 12e^{-0.1507t}}[/tex]
After 36 months; we have: t = 36.
Substitute 36 for t in P(t).
So, we have:
[tex]\mathbf{P(36) = 12e^{-0.1507 \times 36}}[/tex]
Simplify the exponent
[tex]\mathbf{P(36) = 12e^{-5.4252}}[/tex]
Evaluate the exponent
[tex]\mathbf{P(36) = 12 \times 0.004404}[/tex]
Multiply
[tex]\mathbf{P(36) = 0.052848}[/tex]
Approximate to 2 decimal places
[tex]\mathbf{P(36) = 0.05}[/tex]
Hence, the amount that remains is 0.05
Read more about exponential functions at:
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Miss Jurkovac went to Costa Rica for 6 days and saw 42 monkeys. If she saw 84 monkeys, how many days was she there?__________ days
Answers
Answer:
Step-by-step explanation:
6 times 2 is 12
42 multiplied by 2 is 84
therefore the answer is 12 days.
Regina ate 25 grapes and 15 cashews. Simplify the ratio of grapes to cashews that she ate.
Answers
Answer:
The ratio would be 5 to 3
Step-by-step explanation:
I know this because you would divide the amount of grapes and the amount of cashews by 3 which would equal 5 to 3
The ratio of grapes to cashews that she ate is 5:3.
What is ratio?A ratio is the comparison of two quantities and that can be the comparisons of parts to parts, parts to wholes, and wholes to parts are all examples of ratios.
Given that, Regina ate 25 grapes and 15 cashews.
We need to simplify the ratio of grapes to cashews that she ate.
The ratio = 25/15
= 5/3
Hence the ratio of grapes to cashews that she ate is 5:3.
Learn more about ratios, click;
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What property is illustrated by the statement? 5(- 7 10 )=(- 7 10 )5 A) Commutative Property of Multiplication B) Commutative Property of Addition C) Associative Property of Multiplication D) Associative Property of Addition
Answers
Answer:
commutative property of multiplication
Step-by-step explanation:
Name the property used: commutative property of multiplication
Answer: commutative property of multiplication
Help show work please.
Answers
Answer:
X = 7/3y - 10/3
Step-by-step explanation:
Add - 7y to both sides = -3x + 7y = 10 - 7y
= -3x = 10 - 7y
Divide both sides by -3
-3x/-3 = 10/-3 - 7y/-3
x = 7/3y - 10/3
HELP I NEED THIS!! I'LL MARK BRAINLIEST
lines AB and CD are straight lines. find x and y
Answers
y= -6x + 1/2
PLEASE I NEED THE ANSWER AND EXPLANATION
Answers
Answer:
m = -6 (slope)
b = (1/2)
The Y posistion is (0, 0.5) and the slope of the graph is -6/1 (down 6, right 1).
Some examples of where the line is could be:
(1, -5.5)
(-1, 6.5)
Evaluate the expression 16+1+2
Answers
Can you divide 45x676787? Q from khan academy Thanks!
Answers
Answer:
15227707.5
More info
Step-by-step explanation:
45x676787 the divide it by 2
Find the slope and y-Intercept of the line in the graph. Drag and drop each number into the correct box
to complete the statement.
7
(0,5)
4 3
2
1
0
(3,-1)
-1
-2
3
TO
de
8 7
0 1 2
55
The slope is m
and they-intercept is b =
Answers
Answer:
slope = - 2, y- intercept = 5
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line
m = [tex]\frac{-1-5}{3-0}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
The y- intercept is the point on the y- axis where the line crosses
The y- intercept = 5
6d + 20b ≤ 150
Solve for D and B
The help is highly appreciated and the best answer will get brainliest
thank you
Answers
Answer:
solving for b is b ≤ 15/2 - 3d/10
solving for d is d ≤ 25 - 10b/3
[tex]x^{2}[/tex] = 6
Answers
Answer:
Take the root of both sides and solve.
[tex]x = \sqrt{6} , - \sqrt{6} [/tex]
Answer:
Take the root of both sides and solve:
[tex]x = \sqrt{6}, - \sqrt{6} [/tex]
A triangle has an angle that measures 60°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?
Answers
Answer:
180
Step-by-step explanation:
all 3 angles of all triangles sum to 180
if one angle = 60, the other two angles sum to 120
a 3:5 ratio means one angle is 3/8 of 120 and the other is 5/8 of 120
3/8 times 120 = 3(120)/8 = 3(15)= 45 degrees
5/8 times 120 = 5(120)/8 = 5(15) = 75 degrees
45+75 = 120
120+60 = 180 degrees = sum of all 3 angles
in case you need an explanation and can I be get brainlest?
Mr. Haynes wants to expand his rectangular living room to make room for an indoor theater system. He asks the contractor to make the width of the room 5 feet longer and he wants the length of the room to be 5 feet longer than twice the width. When finished the new room will have a perimeter of 140ft around. The new dimensions of the room will be
Answers
Step-by-step explanation:
check the image for detailed solution
A dog park is divided into sections for large and small dogs. The ratio of the perimeter of the small dog section to the perimeter of the entire dog park is 7 : 12. Find the area of each section.
Answers
Answer:
58
Step-by-step explanation:
fred bags groceries at Wegman's. on average he fills 21 bags for every three customers what IS FREDS AVERAGE RATE OF CHANGE
Answers
Answer:
The rate of change will be the number of bags Fred fills for 1 customer.
Write a ratio.
21 : 3
x : 1
To solve for x, cross multiply.
3x : 21
Divide both sides by 3.
x = 7
Fred’s average rate of change is 7 bags.
:)
Which graph represents a proportional relationship?
Answers
Answer: The first graph
Step-by-step explanation:
A proportional graph always goes through the origin
Answer:
The first graph
Step-by-step explanation:
A furniture store receive
order for 456 chairs. They
can fit 9 chairs in a large
shipping box. How many
shipping boxes will they
need to ship all of the
chairs?
Answers
Select the correct answer.
When graphing an inequality, the boundary line needs to be graphed first. Which graph correctly shows the boundary line of the inequality?
y <1/3x+ 1
Answers
Answer:
C (Top Right)
Step-by-step explanation:
First things first, the line is dotted which makes it one of the answers since it's less than, instead of equal to or less than. Both numbers are positive, the bottom left graph goes into the -x while the top right graph keeps the slope increasing positively by 1/3 + 1.
The boundary line of the inequality y <1/3x+ 1 is represented by the graph C.
Let us find two points on the line.
You can choose any x-values you like and calculate the corresponding y-values using the equation.
When x=0 then y=1.
When x=3, then y=2
Now let us find the graph in which the line passes through (0, 1) and (3, 2).
The boundary line should be dotted because it is less than and doesnot have equal symbol.
When we observe these two criteria's the graph C is the graph for inequality y <1/3x+ 1.
Hence, Graph c correctly shows the boundary line of the inequality y <1/3x+ 1.
To learn more on Graph click:
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Use this data set to answer the following question: 5, 10, 12, 4, 6, 11, 13, 5. Remember to show your work.
Calculate the median.
Question 8 options:
Answers
8
Step-by-step explanation:
Put them in order from smallest to largest,
4, 5, 5, 6, 10, 11, 12, 13
The median is the middle value, but because there are 8 numbers, you need to do between 6 and 10 which is:
8
Find the slope of the line that goes through the points (4,-3) and (5,0)
Answers
Answer:
the slope of the points (4,-3) and (5,0) is 3
Step-by-step explanation: I used the formula y2-y1 over x2-x1 will give you the answer hope this helped!
Answer:
[tex]\boxed {\boxed {\sf m=3}}[/tex]
Step-by-step explanation:
We are asked to find the slope of the line that passes through (4, -3) and (5,0).
The slope is the number that tells us the steepness and direction of a line. It is the rise over run, or the change in y over the change in x.
[tex]m= \frac{ \Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}[/tex]
In the slope formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through. The points we are given are (4, -3) and (5,0). If we match the value with its corresponding value, we see that:
x₁ = 4 y₁ = -3x₂ = 5 y₂ = 0Substitute the values into the formula.
[tex]m= \frac{0 - -3}{5-4}[/tex]
Solve the numerator. Remember that 2 back to back subtraction signs become an addition sign.
0--3 = 0+3=3[tex]m= \frac{3}{5-4}[/tex]
Solve the denominator.
5-4 =1[tex]m= \frac{3}{1}[/tex]
Divide.
[tex]m=3[/tex]
The slope of the line is 3.