Answers
Answer:
(a) 7x +6x, (d) 13x(b) 3 +27y, (c) 3·1 +3·9yStep-by-step explanation:
You want to identify the expressions equivalent to 11x -4x +6x and 3(1 +9y).
SimplifyWe can identify the equivalent expressions by putting them all in their simplest form. This means using the distributive property to eliminate parentheses, and combining like terms.
(a) 11x -4x +6xThe simplified version of the given expression is ...
(11 -4 +6)x = 13x
The other expressions simplify to ...
7x +6x = (7+6)x = 13x . . . equivalent
7x -6x = (7 -6)x = 1x = x . . . not equivalent
13 +x (already simplest) . . . not equivalent
13x (already simplest) . . . equivalent
(b) 3(1 +9y)
The simplified form of the given expression is ...
3·1 +3·9y = 3 + 27y
The other expressions simplify to ...
3 +1·3 +9y = 6 +9y . . . not equivalent
3 +27y . . . equivalent
3·1 +3·9y = 3 + 27y . . . equivalent
3 +9y (already simplest) . . . not equivalent
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Related Questions
Unit 8, Lesson 4
Practice Problems
1. A carnival game has 160 rubber ducks floating in a pool. The person playing the game
takes out one duck and looks at it.
If there’s a red mark on the bottom of the duck, the person wins a small prize.
If there’s a blue mark on the bottom of the duck, the person wins a large prize.
Many ducks do not have a mark.
After 50 people have played the game, only 3 of them have won a small prize, and none
of them have won a large prize.
Estimate the number of the 160 ducks that you think have red marks on the bottom.
Then estimate the number of ducks you think have blue marks. Explain your reasoning.
Answers
Answer:
3
Step-by-step explanation:
Lee says 20% of 70 is more than 70% of 20 Is Lee correct? You must show your working.
Answers
Answer:
so he would not be right, since they equal the same number.
Step-by-step explanation:
70x20%, or 70x.20=14
and
20x70%, or 20x.70=14.
please rate and mark as brainlest.
Answer:
Both are equall. 14 =14.....
Step-by-step explanation:
mark me brainly
Need help mark you as brailiest
Answers
Answer:
C,F
Step-by-step explanation:
Which graph best represents the following equation?
y + 3 = |x – 5|
Answers
Answer:
This one
Step-by-step explanation:
The graph of the function y + 3 = |x - 5| is the first diagram given in the options.
What is modulus function ?A modulus function always outputs positive numeric value irrespective of the sign of the input.
According to the given question we have to determine the graph of y + 3 = | x - 5 |.
So, y + 3 = | x - 5|
y = | x - 5 | - 3.
Now to obtain the vertex of the graph we'll set x -5 = 0 .
x = 5 and that corresponds to y value of -=3.
So, the vertex of the graph is (5,-3).
Now to plot the function we'll select some values of less than and greater than 5.
When x = 2 , y = 0. x = 4 , y = 2. x= 6 , y = -2. x = 8 y = 0.
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Help with substitution pls
Answers
Answer:
x=4 and y=8
Step-by-step explanation:
this should be correct
2x=-2x+16
4x=16
x=4
and...
y=-y+16
2y=16
y=8
I hope this helps!!
Nick opens a savings account with $50. Each week after, he deposits $15. In how many weeks will he have saved $500?
Answers
Answer:
After 30 weeks, Nick will have achieved his goal. The equation will be, 50+15x=500
Step-by-step explanation:
describe the pattern for each sequence ( the first box )
Answers
Answer:
2: decrease by 3
3: double total previous number
4: divide by haf of previous total
Step-by-step explanation:
2: decrease by 3
3: double total previous number
4: divide by haf of previous total
Have an amazing day!!
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Bob starts off with a certain amount of oranges. After giving three away, he now has seven. How many oranges did bob start with?
Answers
A cylinder has a height of 15 meters and a diameter of 8 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Step-by-step explanation:
15+8= 23
math magician I like math but I really don't some time know how to do it but if their is wrong then you have to ask your teacher or look in your notebook
Rectangle LMNP with vertices L(-2, 7),
M(2,3), N(0, 1), and P(-4, 5):
(a) Translation: (x, y) - (x + 6, y-8)
(b) Reflection: in the y-axis
Answers
Answer:
L’ is (-4,-1)
M’ is (-8,-5)
N’ is (-6,-7)
P’ is (-2,-3)
Step-by-step explanation:
Here, we want to from new vertices by translation followed by reflection;
When we reflect , we simply change the sign of the x-coordinates if we are reflecting over the y-axis
We proceed as follows;
1. L (-2,7)
Translation will be (-2 + 6, 7-8) = (4,-1)
Reflection will be ( -4,-1)
so L’ is (-4,-1)
2. M (2,3)
Translation will be
(2 + 6, 3-8) = (8,-5)
Reflection will be ( -8,-5)
So M’ is (-8,-5)
3. N (0,1)
translation will be
( 0 + 6, 1-8) = (6,-7)
Reflection will be ; (-6,-7)
4.P (-4,5)
Translation will be (-4 + 6, 5-8)
= (2, -3)
Reflection will be;
(-2, -3)
P’ = (-2,-3)
( How far does the tip of the minute hand of a clock move in 20 minutes if the hand is 5 inches long
Answers
Answer:
3 1/3 pi inches
Step-by-step explanation:
since we know that when 20 minutes have passed, the minute hand will have moved 4 intervals (i.e. from 12 to 4), and each interval is 30 degrees by measurement. So 4 intervals have a degree measurement of 120 degrees, which is 1/3 of the whole circle (clock). since there isn't any notation on whether pi is taken as 3.14 or 22/7 or whatsoever, you can just say that it has moved (5x2)pi x 1/3 = 3 1/3 pi inches
Use the graph to determine the input values that correspond with f(x) = 1.
Answers
Answer:
it would be 0,1
Step-by-step explanation:
What is Y + 4 = -3 (x +1) in standard form?
Answers
-3x - y = 7
Explanation:
the standard form of an equation is written as Ax + By = C, where A, B, and C are integers.
first, distribute -3:
y + 4 = -3x - 3
then get x and y on the same side and the number on the other side for standard form.
add 3 to both sides:
y + 7 = -3x
subtract y from both sides:
7 = -3x - y
Answer:
-3x - y = 7
first, distribute -3:
y + 4 = -3x - 3
then get x and y on the same side and the number on the other side for standard form.
add 3 to both sides:
y + 7 = -3x
subtract y from both sides:
7 = -3x - y
Pedro signed up for a streaming service that cost 13$ per month. The service allows Pedro to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.75 per song. how much total money would Pedro have to pay in a month in which he downloaded 45 songs? How much would he have to pay if he download s songs?
Answers
Answer:
46.75 dollars and 13 + 0.75s = x
Step-by-step explanation:
13+.75S=Monthly payment
13+.75(45)=46.75
If he downloaded 45 songs he would pay 46.75 dollars
If he downloaded S songs he would pay 13 + 0.75s = x
"a number increased by thirty-five"
Answers
Answer:
x + 35
Step-by-step explanation:
Let x represent a number
Increased means to add
What is the image point of ( 4 , − 6 ) (4,−6) after a translation right 5 units and up 4 units?
Answers
Answer:
(9,-2)
Step-by-step explanation:
5 is the x coordinate, and 4 is the y coordinate. When you go right a certain amount of units, you add those units to your x coordinate. If you were to go left a certain amount of units, you'd subtract them. Since we're going right, 5 + 4 = 9. When you go up a certain amount of units, you add those units to you y coordinate. If you were to go down a certain amount of units, you'd subtract them. Since we're going up, -6 + 4 = -2. So, x = 9 and y = -2, or (9,-2)
Which of the following values are solutions to the inequality -2> 4x-6?
Answers
Answer:
9-
Step-by-step explanation:
Find the surface area of the following figure.
11 yd
6 yd
C
Answers
Answer:
263.76 square yards
Step-by-step explanation:
SA=2(3.14)r^2 + 2(3.14)rh
SA=2(3.14)(3)^2 + 2(3.14)(3)(11)
SA=56.52+207.24
263.76 square yards
Which set is closed under multiplication?
A. integers
B. prime numbers
C. negative numbers
D. {5, 10, 15,20}
Answers
Step-by-step explanation:
A
Because the multiplication of two integers still results in an integer.
Determine the function which corresponds to the given graph. The asymptote is x = -1.
Answers
Answer:
y = log(x + 1)
Step-by-step explanation:
Given graph represents a logarithmic graph.
Let the equation of the graph is represented by the logarithmic graph,
y = log(x + b)
This graph passes through origin (0, 0),
For the given point (0, 0),
0 = log(0 + b)
log(1) = log(b)
b = 1
Therefore, the function that corresponds the graph will be,
y = log(x + 1)
Jacob earns $15 per hour. He has saved $200 and is planning to buy a dresser that costs $500. Which of these represent the number of hours' pay, x, that Jacob must save to be able to purchase the dresser?
Answers
Answer:
500 - 200 = 300. 300 ÷ 15 = 20. Jacob needs 20 hours of pay for the dresser
How do you write 6.73 in scientific notation?
Answers
Answer:
6.73 x 1[tex]0^{2}[/tex]
Step-by-step explanation:
please help with my math its Two-step mixed operation word problems
Answers
Answer: 5 more times.
Step-by-step explanation: In total, it takes her 4 minutes to climb to the top of the water slide and slide down. Because the water slide closes in 20 minutes, she can slide down more 5 times. 5 x 4 equals 20.
Have a great day! :)
If f(x) = -4x - 5 and
g(x) = 3 - X,
what is g(-4) + f(1)?
Answers
If f(x) = -4x - 5 and g(x) = 3 - X,the value g(-4) + f(1) is equal to -2.
The function f(x) is f(x)=-4x-5
The function g(x) is g(x)=3-x
g(-4)=3-(-4)=3+4=7
f(1)=-4(1)-5=-9
g(-4)+f(1)=7+(-9)=7-9=-2
What is the composition of functions?
Composition is the process of the generation of new functions.It is basically applying a function to a function.The domain is also changed for the new function.A function is composed in mathematics when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.To learn more about the composition of function visit:
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Under her cell phone plan, Janelys pays a flat cost of $46.50 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Janelys can use while staying within her budget.
Answers
Answer:
less than 4.7 gigs
Step-by-step explanation:
The cost of Janelys's cell phone plan will be the sum of the flat cost and the product of the per-gig cost and the number of gigs of data she uses.
y = 46.50 +5g
She wants this to be less than $70 per month, so we can find the constraint on her data usage from ...
46.50 +5g < 70
5g < 23.50 . . . . . . . . subtract 46.50
g < 4.7 . . . . . . . . . . divide by 5
Janelys must use less than 4.7 gigs of data to stay within her budget.
Each leg of an isosceles triangle is 3 units less than the length of its base. If the perimeter is 30 units, how long is each leg
Answers
Answer: 9 units
Step-by-step explanation:
What are the solutions of 5-3n > -4?
Answers
Answer:
n < 3
Explanation:
HELP HELP HELP THANK YOU
Answers
0.6 can be written in fractions form as;
[tex]0.6 = \frac{6}{10} [/tex]
By simplifying the numeration and denominator by 2, you get;
[tex] \frac{3}{5} [/tex]
Now that we have common denominators we can compare both fractions and say that the one with the higher denominator is larger, Hence=
[tex] \frac{4}{5} > \frac{3}{5} [/tex]
[tex] \frac{4}{5} > 0.6[/tex]
Answer:
4/5 > 0.6
Step-by-step explanation:
Given into Decimal:
4/5 = 0.8
Thus, 0.8 > 0.6
Hence, Answer = 4/5 > 0.6
~Learn with Lenvy~
What’s the variable in 2n-3=7
Answers
Answer:
n
Step-by-step explanation:
As n is an unknown value, it is the variable.
Variable = n
Answer:
n = 5
Step-by-step explanation:
Variable is what we don't know
[tex]2n-3=7[/tex]
[tex]\mathrm{Add\:}3\mathrm{\:to\:both\:sides}[/tex]
[tex]2n-3+3=7+3[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]2n=10[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2\\[/tex]
[tex]\frac{2n}{2}=\frac{10}{2}[/tex]
[tex]\mathrm{Simplify}[/tex]
n = 5
~Learn with Lenvy~
I made a bunch of mini
pies to eat and give to my
neighbors for pie day. I
want to tie ribbons around
5 of them. The pies are
each 3 inches in diameter.
How many inches of ribbon
do I need?
Answers
Answer:
15 inches is needed of ribbon