Lesson 7 Extra Practice Equivalent Expressions Simplify each expression. 1. 5x + 3x 8x 2. 2x + x 3x 3. 6x + 8x 14x 4. 9x + 3x 12x 5. 7x + 4x 11x 6. 10x + x 11x 7. 3x + 2 + 4x 7x + 2 8. 15x + 3 + x 16x + 3 9. 2x + 5 + 6x 8x + 5 10. 7x + 2x + 4 9x + 42 11. 18x + 3x + 9 21x + 9 12. 6x + x + 8 7x + 8 Factor each expression. 13. 21x + 15y 3(7x + 5y) 14. 2x + 14y 2(x + 7y) 15. 15x + 10y 5(3x + 2y) 16. 12x + 18y 6(2x + 3y) 17. 10x + 30y 10(x + 3y) 18. 6x + 14y 2(3x + 7y) 19. 8x + 16y 8(x + 2y) 20. 45x + 27y 9(5x + 3y) 21. 54x + 48y
Answer:
uhh which 1
Step-by-step explanation:
The expressions are simplified and factored in as below.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The expressions are simplified as,
1.
5x + 3x
= 8x
2.
2x + x
= 3x
3.
6x + 8x
= 14x
4.
9x + 3x
= 12x
5.
7x + 4x
= 11x
6.
10x + x
= 11x
7.
3x + 2 + 4x
= 7x + 2
8.
15x + 3 + x
= 16x + 3
9.
2x + 5 + 6x
= 8x + 5
10.
7x + 2x + 4
= 9x + 42
11.
18x + 3x + 9
= 21x + 9
12.
6x + x + 8
= 7x + 8
13.
21x + 15y
= 3(7x + 5y)
14.
2x + 14y
= 2(x + 7y)
15.
15x + 10y
= 5(3x + 2y)
16.
12x + 18y
= 6(2x + 3y)
17.
10x + 30y
= 10(x + 3y)
18.
6x + 14y
= 2(3x + 7y)
19.
8x + 16y
= 8(x + 2y)
20.
45x + 27y
= 9(5x + 3y)
21.
54x + 48y
= 3 (18x + 16y)
Thus,
The expressions are simplified and factored in as above.
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Carl has $195.000. Carl wants to buy as many calculators as possible. Each calculator costs $6.50
Someone help solve ill gift you nitro :)
A poker deck consists of fifty-two cards, representing thirteen denominations (2 through ace) and four suits (diamonds, hearts, clubs, and spades). A five-card hand is called a flush if all five cards are in the same suit but not all five denominations are consecutive. Pictured below is a flush in hearts. Let N be the set of five cards in hearts that are not flushes. How many outcomes are in N
Answer:
10
Step-by-step explanation:
Let N represent the set of 5 hearts cards that are not flushes
From the image attached below; there are thirteen (13) denominations on deck
i.e. (A,K,Q,J,10,9,8,7,6,5,4,3,2) in the deck
Let us take an integral look at the set of cards that contains consecutive dominations in hearts. Relating them from the lowest denomination to the highest denomination. Also, for hand to be in a straight all cards, they must be in consecutive order.
So, starting from the lowest straight A-2-3-4-5 to the highest straight, we would have a royal flush 10, J, Q, K, A
∴
[tex]N = \left \{ {{(A,2,3,4,5,),(2,3,4,5,6),(3,4,5,6,7),(4,5,6,7,8)(5,6,7,8,9)} \atop {(6,7,8,9,10),(7,8,9,10,J),(8,9,10,J,K),(9,10,J,K,L),(10,J,Q,K,A)}} \right. \}[/tex]
Hence, the total no of outcome for N = 10
Can some one help me with these 2 questions I’ll give you brainliest
9514 1404 393
Answer:
2 + 5i
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{(25+19i)}{(5-3i)}=\dfrac{(25+19i)(5+3i)}{(5-3i)(5+3i)}\\\\=\dfrac{68+170i}{34}=\boxed{2+5i}[/tex]
__
In general, the multiplication proceeds the way it would if i were a variable. The difference is that i² can be replaced by -1.
Which phrases can be represented by the algebraic expression 2x + 1? Check all that apply
Answer:
Ummm
Step-by-step explanation:
paige was planning to watch marathon episodes of her favorite show. the show had 48 episodes with each episode lasting exactly 22 minutes. if she planned to spend 4 days watching the show how many minutes should she watch each day?
Answer: 12
Step-by-step explanation: I did the math
en la pescaderia de un centro comercial se vende por la mañana 3/4 partes del pescado que tenían. por la tarde se vende 4/5 de lo que les quedaba. si al terminar el día aún quedan 100 kg de pescado,¿ Cuántos kilos tenían?
Answer:
Ta fácil le quedan 5 kilos :v de que grado es esto._.
how would you write the fraction 5/2 as a division expression?
a. 5÷ 1/2
b. 2÷5
c. 1/2 ÷5
d. 5÷2
(GIVING BRAINLIYEST)
7. what is the volume of these 2 objects
figure #1
smaller part
4x7x2= 56m
larger part
4x3x7= 84m
84+56= 140m³
figure #2
smaller part
2x4x3= 24m
larger part
4x4x12= 192m
192+24= 216in³
Answer:
3 is 140i think 4 is 396 (sorry if im wrong about 4)
Step-by-step explanation:
The perimeter of a rectangular field is 580 yards. The length is 30 yards more than the width. Find the length and width of the field (in yards).
2 L + 2 W = 580
W = L - 30
2( L - 30) + 2 L =580
2L - 60 + 2 L =580
4 L = 640
L = 160
W = 160-30= 130
160 × 2 + 130 × 2 = 580
you walk 1/5 miles to a music store. Then you walk another 2/3 miles to shoe store. How many miles have you walked
Answer:
1 whole mile
Step-by-step explanation:
the LCD is 15. 5x3=15. what we do to the denominator we do to the top so 1x3=3 now we have 3/15.
now do that with the other fraction
3x5=15
2x5=12
12/15+3/15= 15/15= 1 whole
How would you graph
y = 2x - 1? , ILL MARK BRAINLIST
Answer:
Starts at negative 1 Y-axis, and then go yp 2 and 1 to the right
what is the mesaure of angle a
Answer:
i think its 133
Step-by-step explanation:
i just subtracted 47 from 180 bc the straight line is 180 angle
X^2- 2x - 54 = 0
I need the answer to this please
x = 1 + √ 55 , 1 − √ 55 or
x = 8.41619848 , − 6.41619848
anybody know the answer to this
Write 4% as a
fraction in lowest terms.
Answer:
1/25
Step-by-step explanation:
Please help me i'm cri.
A.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Common Factors: 1, 2, 3, 4, 6, and 12
-----
B.
Factors of 16: 1, 2, 4, 8, and 16.
Factors of 56: 1, 2, 4, 7, 8, 14, 28, and 56
Common Factors: 1, 2, 4, and 8
-----
C.
Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30.
Factors of 75: 1 , 3 , 5 , 15 , 25 and 75
Common Factors: 1, 3, 5, and 15.
-----
D.
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
Common Factors: 1, 2, 3, 6, 9, and 18.
-----
E.
Whenever finding the greatest common factors of any pair of numbers it is necessary to list all the factors of each number. Then find the number that appears in both!
graph the line with the equations y=−x−2?
Answer:
The picture has the graphed line on it.
Prove that the value of the expression 7^8–7^7 +7^6 is divisible by 43.
Step-by-step explanation:
1. if to evaluate the given experssion, then
7⁶(7²-7+1)=7⁶*43.
2. if to divide this evaluated expression by 43, then
7⁶*43/43=7⁶.
The temperature this morning was 57 degrees. The temperature then rose about 2 degrees every hour until noon. I can represent this relationship as a linear equation.
Answer:
2x+57=y is the answer
Step-by-step explanation:
x is the days and y is the finale temp while the 57 is the starting point
How many of the following polygons are CONCAVE
Can anyone help me with this plsss
Answer:
C. 2
Step-by-step explanation:
[tex]3 \frac{1}{2} \times \frac{4}{7} \\ = \frac{3 \times 2 + 1}{2} \times \frac{4}{7} \\ = \frac{7}{2} \times \frac{4}{7} \\ = 2[/tex]
hope it helps :)
Answer:
C
Step-by-step explanation:
3 1/2 = 7/2
4/7 = 4/7
7/2 x 4/7 = 28/14 or 2
Pick the correct compound inequality that represent "All real numbers that
are greater than -6 but less than 6"*
-6 X 36
6 sxs-6
-6
0 -6
The correct compound inequality which represents the given statement is -6 < x < 6.
What are Compound Inequalities?Compound inequalities are inequalities which are formed by combining two simple inequalities.
For example, 3 < x < 6 is a compound inequality which is a combination of x > 3 and x < 6.
Given statement is,
All real numbers that are greater than -6 but less than 6.
Let x represents the numbers satisfying the inequality.
All real numbers greater than -6 can be expressed as x > -6.
All real numbers that are less than 6 can be expressed as x < 6.
These two inequalities has to be combined.
x > -6 and x < 6
-6 < x < 6, which is the compound inequality.
Hence the compound inequality is -6 < x < 6.
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7. (ASV, Exercise 2.20 ) - 3 points. A fair die is rolled repeatedly. Use precise notation of probabilities of events and random variables for the solutions to the questions below. (a) Write down a precise sum expression for the probability that the first five rolls give a three at most two times. (b) Calculate the probability that the first three does not appear before the fifth roll. (c) Calculate the probability that the first three appears before the twentieth roll but not before the fifth roll.
Answer:
0.9646 ; 0.5685
Step-by-step explanation:
Given that :
P(obtaining 3 on a die roll) = 1/6 = 0.1667
Obtaining 3 at most 2 times in five trials
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
n = 5 ;, p = 0.1667
P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)
Using the binomial probability :
P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608
P(x ≤ 2) = 0.9646
B.) using geometric distribution :
(1 - p)^x-1 * p
P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)
1 - (0.1667 + 0.1157+0.0965+0.0804)
= 0.5685
three positive numbers form an arithmetic progression with d=8 If 7 is subtracted from the first number, 3 is subtracted from the second number, and the third numbers is first decreased by 1 and then the result is multiplied by 3, the resulting numbers form a geometric progression find the original three numbers
Answer:
10, 18, 26
Step-by-step explanation:
Let wong has a box of cereal that states that there are 81 calories in 3/4 cup of serving. What is the rate of calories per cup
Answer:
108 calories per cup
Step-by-step explanation:
A jeweler is making a triangular pendant. He has two sides of length 23 mm and 31 mm. What are the possible lengths (in whole mm) for the third side?
A. 8 mm or less
B. between 9 mm and 53 mm
C. 54 mm or more
D. not possible
Answer: between 9 mm and 53
Step-by-step explanation:
U do 23 - 31 you get 8 then you do 23 + 31
Given the Isosceles Trapezoid, find the measure of the missing? angle.
Answer:
s＝65
Step-by-step explanation:
T to S is 180
180－115=65
Perform the operation.
(-10x² + 9) + (8x2 – 5x + 7)
HELP ASAP PLS
Answer:
-2x² - 5x + 16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
(-10x² + 9) + (8x² - 5x + 7)
Step 2: Simplify
Combine like terms (x²): -2x² + 9 - 5x + 7Combine like terms (Z): -2x² - 5x + 16