[tex]\\ \sf\longmapsto 1-(2x+4)=-4x+5[/tex]
[tex]\\ \sf\longmapsto 1-2x-4=-4x+5[/tex]
[tex]\\ \sf\longmapsto -2x-3=-4x+5[/tex]
[tex]\\ \sf\longmapsto -2x+4x=5+3[/tex]
[tex]\\ \sf\longmapsto 2x=8[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{8}{2}[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
Step-by-step explanation:
[tex]\Large \boldsymbol {} \sf 1-(2x+4)=-4x+5 \\\\1-2x-4=-4x+5 \\\\4x-2x=5+3 \\\\2x=8 \\\\\boxed{\sf x=4}[/tex]
help me please!! first write the subtraction with a common denominator then subtract
Answer:
hope it helps you
Step-by-step explanation:
pls kindly mark it brainliest answer
Answer:
[tex]\frac{3}{5} - \frac{1}{3} = \frac{9}{15} - \frac{5}{15} = \frac4{15}[/tex]
Step-by-step explanation:
3/5 - 1/3
Multiply 3/5 by 3/3 to keep the fraction equivalent and have a common denominator
3/5 times 3/3 = 9/15
Multiply 1/3 by 5/5 to keep the fraction equivalent and have a common denominator
1/3 times 5/5 = 5/15
9 / 15 - 5 / 15 = 4/15
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Gabriella has a smart phone data plan that costs $25 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Gabriella have to pay in a month where she used 5 GB over the limit? How much would Gabriella have to pay in a month where she used went over by x x GB?
in june , john withdrew 1/5 of the money in his savings account. in july he withdrew 1/3 of what remained. in august, he withdrew 1/4 of the remaining balance.if he made no other transactions and ended up with $480 in her account, what did he start with?
Answer
28,800$
Step-by-step explanation:
480 x 4 = 1920 x 3 = 5760 x 5 = 28800
What is the surface area of the cylinder with height 5 ft and radius 2 ft? Round your
answer to the nearest thousandth.
Answer:
87.965
Step-by-step explanation:
surface area of a cylinder,
2πr²+2πrh (where r = radius, h = height)
given, h = 5, r = 2
so,
2πr²+2πrh
= 2π×2²+2π×2×5
= 8π+20π
= 28π
= 87.9645943..
= 87.965 (rounded to the nearest thousand)
One number is three times another number. If the sum of the numbers is 36, determine the two numbers.
Step-by-step explanation:
A=3B
A+B=36
3B+B=36
4B=36
B=36/4
Step-by-step explanation:
let x represent the smaller number
3x is the second number
x+3x=36
4x=36
4x/4=36/4
x=9
the second number is 3(9)
=27
Solve for x in the diagram below.
Answer:
x = 45
Step-by-step explanation:
180 = (2x + 45) + x
135 = 2x + x
135/3 = 3x/3
45 = x
Answer:
x = 45
Step-by-step explanation:
The 2 given angles are adjacent snd sum to 180° , then
2x + 45 + x = 180 , that is
3x + 45 = 180 ( subtract 45 from both sides )
3x = 135 ( divide both sides by 3 )
x = 45
if a = 6 b=5, then find the value (a+b)
Step-by-step explanation:
Put the numbers as the value is given
So,
(6+5)= 11 Answer
a store sells a 1 1/4 pound of turkey for 9 dollars what is the unit price of the turkey in the package
Answer:
7.20 dollars
Step-by-step explanation:
1 1/4 can be expressed as 5/4 ((1*4+1) /4)
If price of 5/4 pound of turkey = $9
Price of 1 pound of turkey = $9 / (5/4)
( Same way you'd divide the price of 2 pounds by 2 to get the price of 1 pound)
$9 / (5/4) = $7.2
How would I do this?
2x + 6 = 0
+2−5=1+5(−5)
Answer:
x=-3
Step-by-step explanation:
2x=-6
x=-3
your answer will be x=-3
rewrite without parentheses and simplify (y-5)^2
Answer: (y - 5)² = y² - 10y + 25
Concept:
There are in total three general types of parentheses-squared method:
(a - b)² = a² - 2ab + b²(a + b)² = a² +2ab + b²(a - b) (a + b) = a² - b²Solve:
Given = (y - 5)²
Apparently, the given expression accords with (a - b)², where [y] = [a] and [5] = [b].
(a - b)² = a² - 2ab + b²
(y - 5)² = y² - 2(y)(5) + 5² = y² - 10y + 25
Hope this helps!! :)
Please let me know if you have any questions
Explain how to find the middle quartile of a box-and-whisker plot.
Step-by-step explanation: The middle quartile or second quartile as I like to call it is the median of the entire data set. Remember that the median is the middle number when the data is written from least to greatest.
3-5n+4n=4. help please
Answer:
n = -1
Step-by-step explanation:
3-5n+4n=4
3 - n = 4
-n = 1
n = -1
Please help, need to find f^-1 (x)
The inverse function [tex]f^{-1}(x)[/tex] is such that
[tex]f\left(f^{-1}(x)\right) = x[/tex]
Plugging [tex]f^{-1}(x)[/tex] into [tex]f(x)[/tex] gives us
[tex]f\left(f^{-1}(x)\right) = \dfrac{3f^{-1}(x) + 3}{5f^{-1}(x) + 6} = x[/tex]
Solve for [tex]f^{-1}(x)[/tex] :
[tex]\dfrac{3f^{-1}(x) + 3}{5f^{-1}(x) + 6} = x \\\\ 3f^{-1}(x)+3=x\left(5f^{-1}(x)+6\right) \\\\ 3f^{-1}(x) + 3 = 5x f^{-1}(x)+6x \\\\ 5xf^{-1}(x)-3f^{-1}(x) = 3 - 6x \\\\ (5x-3)f^{-1}(x)=3-6x \\\\ \boxed{f^{-1}(x)=\dfrac{3-6x}{5x-3}}[/tex]
Om had a balance of 546 in his checking account. He made a deposit of $56, and wrote checks for $17 and $30. His bank charged him a $3 service fee. How much
honey does Om have in the account?
Answer:
540
Step-by-step explanation:
546-56=490
490+17+30=537
537+3=540
A cartoon has a length of 1 2/3 feet, width of 1 1/6 feet, and height of 1 1/5 feet what is the volume of the cartoon?
A: 2 cubic feet
B: 2 1/3
C: 4 cubic feet
D: 4 2/3
Add −1.5+1.75
Plot the first addend and the sum on the number. pls answer
In a general sum:
A + B + C
each of these elements is called an addend.
In this problem we want to add:
-1.5 + 1.75
The first addend is -1.5, the second addend is 1.75.
First let's solve this, notice that the first element is negative and the second is positive, so we can rewrite our sum as:
-1.5 + 1.75 = 1.75 - 1.5 = 0.25
Now we want to plot the first addend (-1.5 ) and the sum of the numbers (0.25)
We only need to find these points in a number line and graph them, you can see an example below:
If you want to learn more, you can read:
https://brainly.com/question/24367392
Answer:
1.5 + 1.75= 0.25
The rest shall be answered shortly.
Step-by-step explanation:
Thx so much!
-Your helper
A shopkeeper allows 10% discount on the marked price of a bicycle. If a costomer pays Rs 4068 with 13% VAT find the marked price of the bicycle
[tex] \large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}[/tex]
We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :[tex] \large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}[/tex]
[tex] \large{ \tt{❃ \: SP \: with \: VAT= SP + VAT\% \: of \: SP}}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = SP + \frac{13}{100} \: sp}}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = \frac{100 \: \: SP + 13 \: SP}{100} }}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = \frac{113 \: SP}{100} }}[/tex]
[tex] \large{ \tt{⇢ \: 113 \: SP = 406800}}[/tex]
[tex] \large{ \tt{⇢ \: SP = \frac{406800}{113} }}[/tex]
[tex] \large{ \tt{⇢ \: SP = 3600}}[/tex]
Hence , SP = Rs 3600[tex] \large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}[/tex]
Let Marked Price [ MP ] be x.[tex] \large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = x - \frac{10}{100} } \: x}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = \frac{100x - 10x}{100} }}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = \frac{90x}{100} }}[/tex]
[tex] \large{ \tt{⇾ \: 90x = 360000}}[/tex]
[tex] \large{ \tt{⇾ \: x = \frac{360000}{90} }}[/tex]
[tex] \large{ \tt{⇾ \: x = Rs \: 4000}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \boxed {\tt {\: Rs \: 4000}}}}}}[/tex]
Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)Correct answer gets 5 stars and brainliest
Answer:
12
Step-by-step explanation:
Since this is a right triangle ,we can use the Pythagorean theorem
a^2+b^2 = c^2
a^2 + 5^2 = 13^2
a^2 +25 = 169
Subtract 25 from each side
a^2 = 169-25
a^2 = 144
Taking the square root of each side
sqrt(a^2) =sqrt(144)
a = 12
The dot plot represents a sampling of ACT scores:
dot plot titled ACT Scores with Score on the x axis and Number of Students on the y axis with 1 dot over 18, 3 dots over 19, 4 dots over 21, 4 dots over 22, 3 dots over 23, 2 dots over 24, 1 dot over 25
Which box plot represents the dot plot data?
box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25
box plot titled ACT Score with a minimum of 18, quartile 1 of 19, median of 21, quartile 3 of 22, and maximum of 25
box plot titled ACT Score with a minimum of 17, quartile 1 of 19, median of 21, quartile 3 of 22, and maximum of 25
box plot titled ACT Score with a minimum of 17, quartile 1 of 19, median of 21, quartile 3 of 25, and maximum of 26
The data from a dot plot can be analyzed to find the five number summary, from which a box plot can be constructed
The correct option for the details of the box plot that represents the dot plot data is;
Box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25
The process of deriving the five number summary of the box plot above is as follows;
Known:
The data from the dot plot can be expressed in increasing order for analysis of a box plot as follows;
18, 19, 19, 19, 21, 21, 21, 21, 22, 22, 22,22, 23, 23, 23, 24, 24, 25
The number of data points in the statistics, n = 18
Unknown:
The five number summary
Method:
Finding the five number summary as follows;
The minimum value = 18
The maximum value = 25
The first quartile, inclusive of the median Q₁ = The middle number of the lower half {18, 19, 19, 19, 21, 21, 21, 21, 22} = The (9 + 1)/2 th term∴ Quartile 1 = Q₁ = 5th term = 21
The second quartile, Q₂ = The median (the middle number) = (22 + 22)/2 = 22 = Quartile 2Quartile 2 = 22
The third quartile = The middle number of the upper half {22, 22,22, 23, 23, 23, 24, 24, 25} = Quartile 3 = 23Quartile 3 = 23
Combining the above 5 number summary, the correct option for the box plot representing the dot plot data, is therefore;
Box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25
Learn more about box and whiskers, and dot plots here;
https://brainly.com/question/4002977
convert 10.09% to a decimal
Answer:
0.1009
Step-by-step explanation:
To convert percentage into decimal, you need to divide the percentage by 100
10.09/100
= 0.1009
pls help G, H, I, J pls explain
Part G
The two angles ABD and DBC form a straight line, so the angles add to 180 degrees.
Let's solve for x.
angle ABD + angle DBC = 180
(0.5x+20) + (2x-10) = 180
2.5x+10 = 180
2.5x = 180-10
2.5x = 170
x = 170/2.5
x = 68
Then we'll use this to find angle ABD
angle ABD = 0.5*x + 20
angle ABD = 0.5*68 + 20
angle ABD = 34 + 20
angle ABD = 54
Answer: 54 degrees============================================================
Part H
Use the value of x we found back in part G to find the measure of angle DBC
angle DBC = 2x - 10
angle DBC = 2(68) - 10
angle DBC = 136 - 10
angle DBC = 126
An alternative is to subtract the measure of angle ABD from 180
angle ABD + angle DBC = 180
angle DBC = 180 - (angle ABD)
angle DBC = 180 - 54
angle DBC = 126
Answer: 126 degrees============================================================
Part I
This time, the two angles add to 90 degrees as shown by the square corner marker.
(angle XYW) + (angle WYZ) = 90
(1.25x - 10) + (0.75x + 20) = 90
2x + 10 = 90
2x = 90-10
2x = 80
x = 80/2
x = 40
which then leads to,
angle XYW = 1.25*x - 10
angle XYW = 1.25*40 - 10
angle XYW = 50 - 10
angle XYW = 40
Answer: 40 degrees============================================================
Part J
We can subtract the result of part I from 90 degrees to get the answer
angle WYZ = 90 - (angle XYW)
angle WYZ = 90 - 40
angle WYZ = 50
Or we could plug the x value x = 40 into the expression for angle WYZ
angle WYZ = 0.75*x + 20
angle WYZ = 0.75*40 + 20
angle WYZ = 30 + 20
angle WYZ = 50
Answer: 50 degrees============================================================
Summary:
The answers we found were
G. 54 degreesH. 126 degreesI. 40 degreesJ. 50 degreesAnswer:
G. m∠ABD = 54°
H. m∠DBC = 126°
I. m∠XYW = 40°
J. m∠WYZ = 50°
Step-by-step explanation:
∠ABD and ∠DBC are supplementary angles. This means their angles have a sum of 180°.
[tex]\frac{1}{2}x+20+2x-10=180\\\frac{5}{2}x+10=180\\\frac{5}{2}x=170\\x=68[/tex]
m∠ABD = 1/2(68) + 20 = 34 + 20 = 54
m∠DBC = 2(68) - 10 = 136 - 10 = 126
Same concept for ∠XYW and ∠WYZ only this time they are complementary angles. This means their angles have a sum of 90°.
[tex]1\frac{1}{4}x-10+\frac{3}{4}x+20=90\\2x+10=90\\2x=80\\x=40[/tex]
m∠XYW = 1 1/4(40) - 10 = 50 - 10 = 40
m∠WYZ = 3/4(40) + 20 = 30 + 20 = 50
Find the value of x in the triangle shown below.(not a test just need help with khan academy)
Using angle sum property
[tex]\\ \sf\longmapsto x+44+29=180[/tex]
[tex]\\ \sf\longmapsto x+63=180[/tex]
[tex]\\ \sf\longmapsto x=180-63[/tex]
[tex]\\ \sf\longmapsto x=117°[/tex]
The angle sum property of a triangle:
The total measure of the three angles of a triangle is 180°[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: + \: 44 \degree \: + \: 29 \degree \: = \: 180 \degree[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: + \: 73 \degree \: = \: 180 \degree[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: = \: 180 \degree \: - \: 73 \degree \:[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: = \: 107 \degree[/tex]
⇛ Value of x is 107°A sum of Rs 600 amount to Rs 735 ins years at a certain rate of interest. If the rate of interest is increased by 2%. what will be the amount?
Answer:
the amount will 26.7 ......hope this may help you
Pleaseeeee help!!!!!
Answer:
.71
Step-by-step explanation:
We only need to look at the brown eyes row
2+2+10 =14
Brown hair is 10
P(brown hair) = brown hair / total
=10/14 =5/7 = .714285714
Consider the equation:
x ^2 −4x+4=2x
1) Rewrite the equation by completing the square.
Your equation should look like (x+a)^2=b or (x-c)^2 =d
Answer:
(x-3)^2 = 5
x = 3 ±sqrt(5)
Step-by-step explanation:
x ^2 −4x+4=2x
Subtract 2x from each side
x ^2 −4x-2x+4=2x-2x
x^2 -6x +4 = 0
Subtract 4 from each side
x^2 -6x+4-4 =0-4
x^2 -6x = -4
Take -6
Divide by 2
-6/2 = -3
Square it
(-3)^2 = 9
Add to each side
x^2 -6x+9 = -4+9
(x-3)^2 = 5
Take the square root
sqrt((x-3)^2) = ±sqrt(5)
x-3 = ±sqrt(5)
Add 3 to each side
x = 3 ±sqrt(5)
Answer:
lusing completing square metjod
x
Step-by-step explanation:
x^2_6x+(_3)^2=_4+9
(x_3)^2=5
x_3=
[tex] \sqrt{5} [/tex]
[tex]x = 3 + or - \sqrt{5} [/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE QUESTION!!
Answer:
(base x height x length)/2 = volume
6x8x8 = 384/2 = 192in^3
hope that answers your question
ASAP!! Photo attached
Answer:
FG = 120 cm
Step-by-step explanation:
The explanation is in the picture!
(a/b)^x-1 = (b/a)^x-3
Answer:
x = 2
Step-by-step explanation:
HELP!!! ANYONE WHO'S GOOD AT GEOMETRY PLEASE HELP T_T
In the diagram, △ABC∼△PQR, mAB¯¯¯¯¯¯¯¯=2, and mPQ¯¯¯¯¯¯¯¯=5.
If the perimeter of ΔABC is 3x, what is the perimeter of △PQR?
A. 3/2x
B. 7.5/5x
C. 6x
D. 15/2x
The perimeter of △PQR is, 7.5/5x.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, Based on the given information, since △ABC∼△PQR,
we know that the corresponding sides are proportional.
Therefore, we can set up a proportion:
AB/PQ = BC/QR = AC/PR
Substituting the given values, we get:
2/5 = BC/QR = AC/PR
Since we know the perimeter of ΔABC is 3x, we can express its sides as:
AB + BC + AC = 3x
Substituting AB = 2, we get:
2 + BC + AC = 3x
Dividing both sides by 2, we get:
BC/2 + AC/2 = (3/2)x - 1
Substituting BC/QR = AC/PR = 2/5, we get:
(2/5)QR/2 + (2/5)PR/2 = (3/2)x - 1
Simplifying, we get:
QR + PR = (15/10)x - 2
Since the perimeter of ΔPQR is PQ + QR + PR, we can substitute PQ = 5, and get:
Perimeter of △PQR = 5 + QR + PR
Substituting QR + PR = (15/10)x - 2, we get:
Perimeter of △PQR = 5 + (15/10)x - 2
Simplifying, we get:
Perimeter of △PQR = (7.5/5)x - 2
Therefore, the answer is option B, 7.5/5x.
Learn more about the triangle visit;
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