Answers
Answer:
(1) Commutative property
(2) Distributive property/Definition of addition
(3) Compatibility with addition/Existence of additive inverse/Modulative property
(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Step-by-step explanation:
We proceed to solve algebraically and explain each step:
1) [tex]4\cdot x +1 +x + 3 = -11[/tex] GIven
2) [tex]4\cdot x +x +1 + 3 = -11[/tex] Commutative property
3) [tex](4+1)\cdot x +4 = -11[/tex] Distributive property/Definition of addition
4) [tex]5\cdot x +4 = -11[/tex] Definition of addition
5) [tex]5\cdot x +4 -4 = -11-4[/tex] Compatibility with addition
6) [tex]5\cdot x = -15[/tex] Existence of additive inverse/Modulative property
7) [tex]\frac{1}{5}\cdot (5\cdot x)= \frac{1}{5}\cdot (-15)[/tex] Compatibility with multiplication
8) [tex]x = - 3[/tex] Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Hence, we have the following answers:
(1) Commutative property
(2) Distributive property/Definition of addition
(3) Compatibility with addition/Existence of additive inverse/Modulative property
(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Related Questions
when c is 21 what is the value of a what is the value of b that goes with this value of a
Answers
Answer:
I need more info
Step-by-step explanation:
The value of b that goes with this value of a is 15.
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.
As per the given data:
b = 4a - 5
The values of a and c are given in the table correspondingly.
When c is 21
The value of a = 5 and
The value of b = 4(5) -5 = 15
Hence, the value of b that goes with this value of a is 15.
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(The question given is incomplete, the complete question is given below.)
The equation and the tables represent two different functions. Use the equation b=4a-5 and the table to answer the questions. This table represents C as a function of A.
when c is 21 what is the value of a what is the value of b that goes with this value of a
If b = 5, what is 632
15
25
75
125
Answers
Answer:
Step-by-step explanation:
A
Your parents give you $10,000. You place it in an account that pays 6.1% annual interest compounded continuously. How much will you have in 20 years? Round the answer to the nearest dollar.
Answers
Answer:
$22,200 over all
Step-by-step explanation:
The compound interest after 20 years is $22700.
What is compound interest?Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
For the given situation,
The principle, p = $10,000
Rate of interest, r = 6.1% = 0.061
Compounded continuously, n = 1
Number of years, T = 20
The amount formula of compound interest is
[tex]A=p(1+\frac{r}{n} )^{T}[/tex]
On substituting the above values,
⇒ [tex]A=10000(1+\frac{0.061}{1} )^{20}[/tex]
⇒ [tex]A=10000(1.061)^{20}[/tex]
⇒ [tex]A=32681.9[/tex] ≈ [tex]32682[/tex]
The compound interest can be calculated as
[tex]CI=A-P[/tex]
⇒ [tex]CI=32682-10000[/tex]
⇒ [tex]CI=22682[/tex] ≈ [tex]22700[/tex]
Hence we can conclude that the compound interest after 20 years is $22700.
Learn more about compound interest here
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id.6577294778 psrd:kaus
Answers
will give brainliest please help
2x-8y=6
y=-7-x
Answers
Answer:
x=-5,\:y=-2 sorry if I'm wrong symbolab
Step-by-step explanation:
Plz help!!!!
Patrick randomly selects a marble from a bag, records the color, and then returns the marble to the bag. After 40 trials, he has recorded 14 red marbles, 12 blue marbles, 10 yellow marbles, and 4 green
marbles.
Which of the following experimental probabilities is correct based on his record?
A.P (not red)=13/20
B.P (not blue) =3/10
C.P (not yellow)=1/4
D.P (not green) = 3/4
Answers
Answer:
try A im not sure tho
Step-by-step explanation:
lol sorry if its wrong
Find the product.
-2xa(-4xb - 2x 3 + 5x)
A) 8 xa+b + 4 x3a - 10 xa
B) 8 xa+b + 4 xa+3 - 10 xa+1
C) -8 xa+b - 4 xa+3 - 10 xa+1
Answers
Answer:
b
Step-by-step explanation:
-2xa ×-4xb=8xa+b
-2xa×-2x3=4xa+3
-2xa×5x=10xa+1
Answer:
im answering so u can give the other person brainlist your welcome
<3 answered your ? love
Find the volume of the pyramid.
Answers
Answer:
384
Step-by-step explanation: i think all the base lengths are equivalent? if they arent then the answer is wrong but i used the measurements they gave us
....
....
...................................................................
Answers
Answer:
The area is between 0 square units and 1 square unit.
Step-by-step explanation:
For example if you multiply 0.85 x 0.85 you would get 0.7225.
0.7225 is between 0 and 1.
Let me know if this helps!
For the following arithmetic sequence, find the value of a and d and hence find the term indicated: - 2 , 2 , 6 , 10 , . . . , t 7. If the first term of an arithmetic sequence is 7 and the 4th term is 28, find the value of d.
Answers
Answer:
[tex]t_{7}[/tex] = 22 is the answer to the first question
d = 4 is the answer to the second question
Step-by-step explanation:
use the formula [tex]a_{n} = a + (n - 1)d[/tex]
6 - 2 = 4 = d a = -2 n = 7
[tex]t_{7}[/tex] = -2 + (7 - 1)4
= -2 + 6(4)
= -2 + 24
= 22
use the formula [tex]a_{n} = a + (n - 1)d[/tex]
a = 7
n = 4
[tex]a_{4} = 28[/tex]
28 = 7 + (7 - 1)d
= 4 + 6d
24 = 6d
d = 4
Solve for the unknown angle
Answers
Answer:
30
Step-by-step explanation:
20+130=150
180-150=30
What is the mean for 1st 9 weeks?
Answers
Answer:
It means that first nine weeks of a semester of class in school
Step-by-step explanation:
the cost of renting a van is $30. An additional $0.89 is charged for each mile, m, the van is driven, Which expression can be used to determine the total cost, in dollars, of renting a van?
Answers
Answer:
30 + 0.89m
Step-by-step explanation:
I think this is the correct answer.
Wich point, when added to the set would form a relation that is not a function.
Please help.
Answers
Answer:
(4,2)
Step-by-step explanation:
A function is when an input only has one output. 4 already has an output of 6, when we add (4,2), then 4 will have two outputs. This will not be a function.
Find the volume of a pyramid with a square base, where the side length of the
base is 19.3 ft and the height of the pyramid is 16.2 ft. Round your answer
to the nearest tenth of a cubic foot.
Answers
Answer:
20.4
Step-by-step explanation:
The answer is 2011.4
A room has a measurement of 7.5 m x 9.6 m. If Encik Zaki wishes to lay square tiles
on the floor of the room, what is the biggest size, in cm, of the tiles so that the tiles
will fully cover the entire floor?
Answers
Answer:
72
Step-by-step explanation:
Hello! Can someone help me with this!!
Answers
Answer:
nope u dont need to buy more
Step-by-step explanation:
u have 1/2 cup after spilling but the recipe only needs 1/3 which is less
At Chill Hill, there are 540 ways to make an ice cream sundae consisting of one flavor ice cream, one topping, and one type of syrup. If there are 9 ice cream flavors and 5 types of syrup, how many toppings are there? Please Explain how you got this answer for brainliest
Answers
Answer:
12 different toppings
Step-by-step explanation:
Total combination / (number of syrup * Numbe rod ive cream flavors)
540 / (9*5)
540 / 45
= 12
Find the volume of the cylinder
Answers
Answer:
pi 50 x^4
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h
The radius is 5x and the height is 2x^2
V = pi (5x)^2 * 2x^2
V = pi ( 25x^2) (2x^2)
= pi 50 x^4
Answer:
[tex]50\pi x^{5}[/tex]
Step-by-step explanation:
50π[tex]x^{5}[/tex]
pls help me out
image is down below
Answers
A survey of two communities asked residents which candidate they supported for a local election The survey data are shown in the relative frequency table. What percentage of the Cherry Hill residents polled supported Zhang ?
Answers
Answer:
about 48%
Step-by-step explanation:
I just took the quiz
The percentage of the Cherry Hill residents polled supported Zhang is 51.61%.
What is a percentage?
A percentage is a number or ratio that can be expressed as a fraction of 100. Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
For the given situation,
The relative frequency table shows a survey of two communities asked residents which candidate they supported for a local election.
Candidates supported Zhang in Cherry hill = 0.32
Total candidates in Cherry hill = 0.62
Percentage of the Cherry Hill residents polled supported Zhang is
⇒ [tex]\frac{0.32}{0.62}(100)[/tex]
⇒ [tex]0.5161(100)[/tex]
⇒ [tex]51.61\%[/tex]
Hence we can conclude that the percentage of the Cherry Hill residents polled supported Zhang is 51.61%.
Learn more about percentages here
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find ∠OQR ∠RST ∠TRQ
∠ROQ = 48
Answers
Answer:
Given∠ROQ = 48°Find∠OQR, ∠RST, ∠TRQSolutionWe see that SR is a diameter, therefore Δ SRT is right triangle with ∠STR = 90°
∠ROQ, ∠RST and ∠TRQ all intercept the same arc RT
∠ROQ is twice the ∠RST and ∠TRQ as the central angle:
∠RST = ∠ROQ = 2*∠TRQ ⇒ ∠RST = ∠TRQ = 48°/ 2 = 24°PQ is tangent to circle, therefore:
PQ⊥SR ⇒ ∠OQR = 90°Find the value of X.
Answers
Steps:
(x + 10) + (3x - 5) + x = 180
x + 10 + 3x - 5 + x = 180
5x + 10 - 5 = 180
5x + 5 = 180
5x = 180 - 5
5x = 175
x = 175/5
x = 35
Check:
(x + 10) + (3x - 5) + x = 180
(35 + 10) + (3*35 - 5) + 35 = 180
45 + 100 + 35 = 180
180 = 180 ✅
Solve for n.
11(12 – 1) + 35 = 311
(0) n =
n = -6
n=-3
n = 3
( n
n = 6
Answers
what they are saying is n is 3 so 3+11=14
Step-by-step explanation:
The box plot summarizes the number of goals scored at a basketball game. State the least
value, the median, the lower quartile, and the upper quartile. Then, find the interquartile range.
HA
16 18 20 22 24 26 28 30 32 34
Number of Goals
Median
Upper Quartile:
Lower Quartile: I
Interquartile Range:
Answers
Answer:
Median: 25
Upper quartile: 30
Lower quartile: 20
IQR: 10
Step-by-step explanation:
The nice thing here is they already put them in order :)
16, 18, 20, 22, 24, 26, 28, 30, 32, 34
For the median, it's the middle number of the ordered data set. Unfortunately here, there is an even number of entries. In that case, we average the middle two numbers, 24 and 26. 24 + 26 = 50/2 = 25
For lower quartile/Q1, you take the middle number of the bottom half of the data set. Bottom half: 16, 18, 20, 22, 24...so the middle is 20
For the upper quartile/Q3, you take the middle number of the top half of the data set. Upper half: 26, 28, 30, 32, 34...so the middle is 30
For interquartile range/IQR, you calculate the range from third to first quartile: 30-20 = 10
Please lmk if you have questions.
please do 81 cookies and distributed 44
Answers
Answer:
1.84
Step-by-step explanation:
I think you gave the wrong information because if you divided 81 by 44 you will get 1.84...
Two girls are standing 100 feet apart they both see a beautiful seagull in the air between them the angles of elevation from the girls to the bird are 20 degrees and 45 degrees respectively how high up is the seagull
Answers
Answer:
[tex]26.68\ \text{feet}[/tex]
Step-by-step explanation:
a = 100 feet
[tex]\angle B=20^{\circ}[/tex]
[tex]\angle C=45^{\circ}[/tex]
[tex]\angle A=180-(20+45)=115^{\circ}[/tex]
From sine rule we have
[tex]\dfrac{\sin B}{b}=\dfrac{\sin A}{a}\\\Rightarrow b=\dfrac{\sin B}{\sin A}a\\\Rightarrow b=\dfrac{\sin 20^{\circ}}{\sin 115^{\circ}}\times 100\\\Rightarrow b=37.73\ \text{feet}[/tex]
[tex]\sin C=\dfrac{h}{b}\\\Rightarrow h=b\sin C\\\Rightarrow h=37.73\times \sin 45^{\circ}\\\Rightarrow h=26.68\ \text{feet}[/tex]
The is seagull is [tex]26.68\ \text{feet}[/tex] above the ground.
Help pls I’m stuck on this question
Answers
Answer:
We have 15 Nickels and 10 Dimes.
Step-by-step explanation:
This is a system of equations! [Literally in a class reviewing that rn}
Lets make a chart:
Number of Coins x Value of Coin = Total Value
Dimes | d | 10 | 10d
Nickels | n | 5 | 5n
So, When you have a System of Equations with Money, One equations is about the value of the money, and the other about the number of coins.
The First Equation [Number of Coins]:
D + N = 25
the Second Equation [Value of Money]:
10D + 5N = 175
I will use Elimination to solve this, however, graphing and substitution works too.
ELIMINATION:
Multiply First equation by -5
-5[D + N = 25] = -5D - 5N = -125
Add the Two Equations vertically.
-5D - 5N = -125
10D + 5n = 175
---------------------
5D = 50
Divide both sides by 5.
5D/5 = 50/5
D = 10
Substitute D= 10 In any equation and solve for the other variable.
10 + N = 25
Subtract 10 from both sides.
10 - 10 + N = 25 - 10
N = 15
So, we have 15 Nickels and 10 Dimes.
==================================================================
Hope I Helped, have a Great Day!
-Aadi x
En qué países hispanohablantes se comen muchos frijoles?
From the video capitulo 8
10 POINTS!! Need it now
Answers
Answer:
Cuba, Venezuela, Colombia, Mexico
The subtotal of your computer purchase was $398.50. If the sales tax rate is 7.25%, how much will you pay in tax for the computer?
Answers
Answer:
54.97
Step-by-step explanation: