21b-32+7b-20b=
21b + 7b - 20b - 32
8b - 32
Hello!
21b-32+7b-20b=
21b +7b -20b -32
= 28b -20b - 32
= 8b -32
Use the Distributive Property to simplify the following expression. a: 4(x+2) b; -5(9+x) c: 7(x-3)
Type down when answering how you got the answers
=======================================================
The Distributive Property states the following:-
[tex]\longrightarrow\sf{a(b+c)=ab+ac[/tex]
Where
[tex]\longrightarrow\sf{a,~b,~and~c~can~be~either~constants~or~variables}[/tex]
Now, let's use this property to simplify our expressions.
The first one is
[tex]\bigstar{\underline{\boxed{{4(x+2)}}}[/tex]
Simplify by distributing 4:-
[tex]\longrightarrow\sf{4~times~x~+4~times~2}[/tex]
Add the products:-
[tex]\longrightarrow\sf{4x+8}[/tex]
[tex]\rule{250}{2}[/tex]
Solve the next one:-
[tex]\bigstar{\underline{\boxed{\sf{-5(9+x)}}}[/tex]
Distribute -5 & add the products:-
[tex]\longrightarrow\sf{-45-5x}[/tex]
[tex]\rule{250}{2}[/tex]
Solve the last one:-
[tex]\bigstar{\underline{\boxed{7(x-3)}}[/tex]
Distribute 7:-
[tex]\longrightarrow\sf{7x-21}[/tex]
======================================================
note:-Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
A manufacturer packages coffee beans in 50 kg
cartons with an allowable error of 0.7%
. what is the acceptable weight range for a carton of coffee beans?
select the answers from the drop-down lists to correctly complete the sentence.
the acceptable weight of the cartons ranges from kg
to kg
.
Answer:
49.65-50.35
Step-by-step explanation:
0.7% of 50 is 0.35. We can find the range by first subtracting that from 50 which is 49.65, then adding it to get 50.35.
find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help <3 if you can’t see, the diameter is 76
Answer:
[tex]\displaystyle 4536,4597918...\:cm.^2 = A[/tex]
Step-by-step explanation:
Split the diametre in half before proceeding:
[tex]\displaystyle \pi{r}^2 = A \\ \\ 38^2\pi = A \hookrightarrow 1444\pi = A \\ \\ \boxed{4536,4597918... = A}[/tex]
I am joyous to assist you at any time.
another retake !! help it’s due today
Answer:
Maurico started with more :)
Step-by-step explanation:
Mariah started with 150 while Maurico started with around 190 so he has more to start with :)
Have a great day!
Please rate and mark brainliest!
Answer:
Mauricio
Step-by-step explanation:
To find who started with more money in their savings account, we want to observe the savings in $ when time=0 years
So by looking at the table of Mariah's savings, we see that when t=0 she had S=150$
By looking at the graph which describes Muaricio's savings as a function of time, we can see that when time=0 or x=0, y=S=190$
In other words, the y-intercept is the initial amount of savings.
190>150
:P
Hope this helps, it would be appreciated if you made me brainliest.
find the sum, plss help thanks!
Answers:
5.) [tex]\displaystyle \pm{8\sqrt{3}}[/tex]
4.) [tex]\displaystyle 3\sqrt[5]{3}[/tex]
3.) [tex]\displaystyle \pm{8\sqrt{5}}[/tex]
2.) [tex]\displaystyle 3\sqrt[3]{3}[/tex]
1.) [tex]\displaystyle \pm{3\sqrt{2}}[/tex]
Step-by-step explanations:
5.) [tex]\displaystyle \sqrt{27} + \sqrt{75} \hookrightarrow \pm{3\sqrt{3}} + \pm{5\sqrt{3}} \\ \\ \boxed{\pm{8\sqrt{3}}}[/tex]
4.) [tex]\displaystyle \sqrt[5]{3} + \sqrt[5]{96} \hookrightarrow \sqrt[5]{3} + 2\sqrt[5]{3} \\ \\ \boxed{3\sqrt[5]{3}}[/tex]
3.) [tex]\displaystyle \sqrt{45} + \sqrt{125} \hookrightarrow \pm{3\sqrt{5}} + \pm{5\sqrt{5}} \\ \\ \boxed{\pm{8\sqrt{5}}}[/tex]
2.) [tex]\displaystyle \sqrt[3]{3} + \sqrt[3]{24} \hookrightarrow \sqrt[3]{3} + 2\sqrt[3]{3} \\ \\ \boxed{3\sqrt[3]{3}}[/tex]
1.) [tex]\displaystyle \pm{\sqrt{2}} + \sqrt{8} \hookrightarrow \pm{\sqrt{2}} + \pm{2\sqrt{2}} \\ \\ \boxed{\pm{3\sqrt{2}}}[/tex]
I am joyous to assist you at any time.
Which statement is true about the discontinuities of the function f(x)? f (x) = StartFraction x 1 Over 6 x squared minus 7 x minus 3 EndFraction.
An asymptote is a straight line that approaches a curve indefinitely but does not intersect at any point. There are asymptotes at t [tex]\dfrac{3}{2}\rm\ and\ \dfrac{-1}{3}[/tex].
What is an asymptote?An asymptote is a straight line that approaches a curve indefinitely but does not intersect at any point. In other words, when a curve approaches infinity, it approaches an asymptote line.
The function that is given to us is:
[tex]f(x)=\dfrac{x+1}{6x^2-7x-3}[/tex]
As in the function, there is a fraction therefore, the denominator should not be zero in order for the function to be defined. Therefore, there are asymptotes at
[tex]6x^2-7x-3 = 0\\[/tex]
Substituting the value in the formula of the quadratic equation we will get,
[tex]D=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\D = \dfrac{-(-7)\pm\sqrt{(-7)^2-4(6)(-3)}}{2(6)}\\\\D =\dfrac{-(-7)\pm\sqrt{11}}{12} = \dfrac{3}{2}, \dfrac{-1}{3}[/tex]
Thus, there are asymptotes at [tex]\dfrac{3}{2}\rm\ and\ \dfrac{-1}{3}[/tex].
Learn more about Asymptotes:
https://brainly.com/question/8493280
32 divided by 10-8 divided by 2-3
Answer:
-3.8Step-by-step explanation:
32÷10-8÷2-332÷10-4-33.2-4-33.2-7-7.0-3.2-3.8answerThe expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.
To solve the expression "32 divided by 10-8 divided by 2-3," we follow the order of operations, which is often represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
32 divided by 10 equals 3.2.
Next, perform the second division which is 8 divided by 2 which equals 4.
Subtract the result of the second division (4) from the first division result (3.2): 3.2 - 4
= -0.8.
Finally, subtract 3 from the -0.8.
-0.8 - 3
= -3.8.
Therefore, the expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.
To learn more on Expressions click:
https://brainly.com/question/14083225
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help!
Fill in the empty spaces with monomials that make each equality
into an
indentity.
(3x - ...)? = 9x2 - 6x +1
Answer:
1
Step-by-step explanation:
The square of the value in the empty space is the constant in the expanded expression. That is ...
[ ]² = 1
The value in the space is ...
[ ] = √1 = 1
The filled-in equation is ...
(3x -1)² = 9x² -6x +1
_____
The expansion of the square of a binomial is ...
(ax -b)² = a²x² -2abx +b²
Above, we used the constant term to find 'b', but we could also have used the linear term:
-6x = -2(3)bx . . . . . a=3 in this problem
1 = b . . . . . . . divide by -6x
Kevin is planning a trip. His round-trip train ticket
costs 550 and the hotel costs $200 per night. If
he spends $850 on his train ticket and hotel, how
many nights did he stay?
I NEED SOME HELP ON THIS! Which expression represents the volume of the rectangular prism shown? A) 3 x 4 + 11 B) x 2 + 2 x + 11 C) x 4 + 11 x 3 + 24 x 2 D) x 3 + 3 x 2 + x + 8
Answer:
C
Step-by-step explanation:
Volume = bhd
Volume = (x + 3)(x + 8)(x²)
start with (x + 3) and (x + 8), factor:
x² + 8x + 3x + 24
x² + 11x + 24
now bring x² back:
(x² + 11x + 24)(x²)
x⁴ + 11x³ + 24x²
hello me again, answer this question, please show work
Answer:
6x
Explanation:
A number is x. 6 x x is written as 6x
Answer:
6x or 6*x
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
6 is multiplied by a number
6x
6 * x
Hope this helps!
Asad wants to print 500 photos. A shop charges at rate of 0. 20 per photo to print. How much does he pay to print the photos?
Answer:
$100
Step-by-step explanation:
multiply 500 by 0.20
you can also see this as a fraction .20 is also 1/5 so if you take 1/5 of 500 you get 100
Nguyen wants to buy a tire that normally costs $86.25. It is currently on sale for $84 25. What is the percentage discount? Round your answer to the nearest tenth.
Percentage discount
[tex]\\ \rm\rightarrowtail \dfrac{2}{86.25}{100}[/tex]
[tex]\\ \rm\rightarrowtail 0.0232(100)[/tex]
[tex]\\ \rm\rightarrowtail 2.32\%[/tex]
Answer:
2.3% (nearest tenth)
Step-by-step explanation:
[tex]\sf percentage \ change =\dfrac{|final \ value - initial \ value|}{initial \ value} \times 100\%[/tex]
Given:
initial value = 86.25final value = 84.25[tex]\sf \implies percentage \ change =\dfrac{|84.25-86.25|}{86.25} \times 100\%[/tex]
[tex]\sf \implies percentage \ change =\dfrac{2}{86.25} \times 100\%[/tex]
[tex]\sf \implies percentage \ change =2.3\% \ (nearest \ tenth)[/tex]
Please Help! Will give Brainlest!
Answer:
amplitude = 2
Step-by-step explanation:
the amplitude is the distance from the x- axis(midline ) to the maximum value , that is
amplitude = 2
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
Option B ( 2 ) ✓
the amount by which the graph of the function travels above and below its midline.OR,
[tex] \sf{amplitude = distance \: from \: undisturbed \: position \div centre \: line \: to \: through \: or \: peak \: }[/tex]
[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
What is the volume of a sphere with a radius of 6.9 ft, rounded to the nearest tenth of a cubic foot?
Answer:
1376.1 ft^3
Step-by-step explanation:
The volume of a sphere formula: V=4/3πr^3
r = 6.9 ft
V = 4/3 * π * (6.9^3) = 1,376.055
to the nearest tenth it's 1376.1 ft^3
Question:
A room is half as long again as it is board. The cost of carpeting the room at Rs. 3.25 per m² is Rs 175.50 and the cost of papering the walls at Rs 1.40 per m² is Rs 240.80. If 1 door and 2 windows occupy 8 m² , find the dimensions of the room.
[tex] \rule{200pt}{5pt}[/tex]
Don't Spam ❎
Given A room is half as long again as it is broad
Let the breadth of the room x m
length of the room x + x/2 = 3x/2m
Area of the room , x × 3x/2 = 3x²/2m
Given , cost of carpeting the room at Rs. 3.25m⁻²
So , total cost , 3x²/2 × 3.25
But , Total cost of carpeting is given as 175.50 so ,
(3x²/2 )× 3.25 = 175.50 x² = 175.50 × 2 / 3.25 × 3 x² = 36 x = 6 Breadth x = 6 mlength 3x/2 = 9mlet the height of the room H m
Area of the four wall = 2(L+ b)× h 2(6+9)× H
= 30H m²
Area of the of the one door and two window is 8m²
8m² Area to be prepared = Area of four wall - area of two window and 1 door = (30H - 8) m²
Given cost of preparing wall is Rs. 1.40m²
total cost of preparing wall is (30H - 8) × 1.40
Total cost of preparing wall is given as 240.80
comparing , (30H - 8 ) × 1.40 = 240.80
(30H - 8 ) = 240.80 /1.40 = 172 30H -. 8 = 172 30H = 180 H = 180/30 = 6Hence, Dimensions of the room are lengths 9m , breadth 6m and height 6m
Send help haha
Use the drop-down menus to identify the domain and range of each function below.
The drop-down menu has the same options for every one of them.
Please answer correctly ASAP ^
Answer:
Domain: input values (x-values)
Range: output values (y-values)
Absolute value: remove negative sign → output becomes positive
eg. |-2| = 2
Squaring a number → output is always positive
[tex]a(x)=3|x|[/tex]
Domain = all real numbers
Range = all positive numbers and zero
[tex]b(x)=3x^2[/tex]
Domain = all real numbers
Range = all positive numbers and zero
The number of radians in a 540540540-degree angle can be written as a\piaπa, pi, where aaa is a constant, what is the value of aaa ?
Using proportions, it is found that the value of a is of 3.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, a 180º angle has a measure of [tex]\pi[/tex] radians. What is the measure of a 540º angle? The rule of three is given by:
180º - [tex]\pi[/tex] rad.
540º - x [tex]\pi[/tex] rad.
Applying cross multiplication:
180x = 540.
x = 540/180 = 3.
The value of a is of 3.
More can be learned about proportions at https://brainly.com/question/24372153
Using proportions, the value of a is 3.
What is proportion?Proportion is a mathematical comparison between two numbers.
When going from degrees to radians, 180 degrees is always going to equal π radians.
The conversion of angle from radian to degree;
[tex]\rm 180-\ 1 \\\\540-a[/tex]
The value of a is;
[tex]\rm \dfrac{180}{540}=\dfrac{1}{a}\\\\\dfrac{1}{3}=\dfrac{1}{a}\\\\1 \times a=1\times 3\\\\a=3[/tex]
Hence, the value of a is 3.
Learn more about proportions at;
brainly.com/question/24372153
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What is the probability that a student chosen randomly from the class is a male who does not have an A?
Answer:
6/19
Step-by-step explanation:
2+4+7+6=19
dose not have an a=6
6/19
Myra swims 3/5 of a mile father than luke. If luke swims 2 4/10 miles, how mnay miles does myra swim?
Answer:
Myra swims for 3 miles.
Step-by-step explanation:
3/5 = 6/10
2 4/10 + 6/10 = 3
100 POINTS!!!
What is the length of XY?
20
10
36
40
Answer:
the answer is 40
Step-by-step explanation:
I took the test on dradpoint
If 2sinθ=65, what is cos(90°−θ)?
A 3/5
B 4/5
C 5/4
D 5/3
Answer: A
Step-by-step explanation:
If 2sinθ = 6/5, then the value of cos (90 - θ) will be 3/5. Then the correct option is A.
How to convert the sine of an angle to some angle of cosine?We can use the fact that:
sinθ = cos(90 - θ)
to convert the sine to cosine (but the angles won't stay the same unless it's 45 degrees).
If 2sinθ = 6/5.
Then the value of cos (90 - θ) will be
cos (90 - θ) can be written as sin θ
Then we have
cos (90 - θ) = sin θ
cos (90 - θ) = 3/5
Learn more about sine to cosine conversion here:
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(1/10 * 1/10 * 1/10) = (- 10) ^ 3
Is it true or false
Answer:
False
Step-by-step explanation:
The exponent signifies repeated multiplication, so will reflect the fact that 1/10 is a factor 3 times.
(1/10)(1/10)(1/10) = (1/10)^3 . . . not (-10)^3
The given equation is FALSE.
__
This can also be written as 10^(-3), which is perhaps what someone was trying to do. The minus sign goes with the exponent, not the base.
Find the radius of a circle with area of 452.4 mi2
Answer:
r≈12mi
Step-by-step explanation:
mark brainiest and Im 100% correct
WILL MARK BRAINLIST An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)
Hey there!
The first step in solving this equation is
using the Distributive property & distributing 2:2(7x-3)=9
14x-6=9
Now, add 6 to both sides:
14x=15
Divide both sides by 14:
x=15/14
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning:-)
Please help! will give brainlest!
Answer:
Option 2 hope it helps pls mark as the brainliest
Reflect the shape A in the line y=5
What are the coordinates of the vertices of the image?
Answer:
(4,5) (4,8)(4,6)
Step-by-step explanation:
So now you're reflecting over the horizontal line that passes through the point (0,5)
:))
Step-by-step explanation:
(4,5),(4,6),(4,8)
the answer is this!
Pleaseeeeee help meeee answer number 3,5 and 7 they are hard for me to do
Answer:
5. 52+56 < 49x -46x
108< 3x
108/3< 3x/3
36
can some1 explain to me how to do this
Answer:
-5 = log₄(0.0009765625)
4 = log₄(256)
Step-by-step explanation:
Apparently, you want to express a number as a logarithm. That is, you want to find y for some value of x such that ...
x = log₄(y)
Taking antilogs, this is ...
y = 4^x
__
For x =-5, the log expression would be ...
y = 4^-5 = 0.0009765625
log₄(0.0009765625) = -5
__
For x = 4, the log expression would be ...
y = 4^4 = 256
log₄(256) = 4
Find the surface area
8in
3in
6in
Answer:
Area of a Rectangular prism is
A = 2lh + 2lw + 2hw
Step-by-step explanation:
See picture above