Help me what is 6x-2=20
Answer: 3.33
Step-by-step explanation:
6x-2= 20
+2= +2
Add two to both sides
6x=22
÷ 6= ÷6
Divide both sides by 6
x= 3.33 OR x= 22/6 simplified = 11/3
What you do to one side you do to the other to make the equation balanced.
Answer:
Step-by-step explanation:
6x - 2 = 20
Add 2 to both sides
6x - 2 + 2 = 20 + 2
6x = 22
Divide both sides by 6
[tex]\dfrac{6x}{6}=\dfrac{22}{6}\\\\\\x =\dfrac{11}{3}\\\\\\x = 3\dfrac{2}{3}[/tex]
I need help with this
Answer:
prop they're constant inchangeb
Step-by-step explanation:
13
__ W=130 what is W
10 15 Points if you answer
W=130
Step-by-step explanation:
the question giving says_W=130and if minus is crossing to the other side it becomes+
4. A line has a slope of - 4. Which of the follow-
ing could describe two points on the line?
A. (2,5) and (1,9)
B. (9,7) and (4,-6)
C. (1,4) and (2,8)
D. None of the above
pls pls pls pls pls help me out
12% is the percent decrease
95,920 is 88% of 109,000.
x/100 = 95,920/109,000
95,920 x 100 = 9,592,000
9,592,000 / 109,000 = 88
100 - 88 = 12
Since it is 88% of it, it decreased by 12%
Answer:
12%decrese
Step-by-step explanation:
percentage decrease=13080/109000 ×100
=12% decrease
Mark me brainliest.
I do not know this answer
i need the u answer
In a survey of 600 people, 54% said they ate at a resaurant the previous week. How many people said they ate at a restaurant the previous week?
20 points for this
Answer:
324 people
Step-by-step explanation:
We can take 54% of 600 to find the answer to our problem.
54% becomes 0.54
600 * 0.54 = 324 people
Mason claims that he can cut a parallelogram into two right scalene triangle. Which diagram best supports his claim
The solution is Option B.
The two right scalene triangles can be formed from the parallelogram B
What is a Scalene Triangle?A scalene triangle is a type of triangle with three different length sides and three interior angles that add up to 180 degrees. Scalene triangles have no equal of parallel sides , hence there is no line of symmetry. The interior angles of a scalene triangle can be acute , right or obtuse angles.
Given data ,
Let the parallelogram be represented as ABCD
Now , the figure ABCD represents a rectangle
So , the measures of angles ∠ABC = measure of angle ∠DCB = 90°
Let the diagonal of the rectangle be AC
The base of the rectangle = BC
The height of the rectangle = AB
So , the diagonal cuts the rectangle into two triangles each having different lengths and angles
And , the two triangles are ΔABC and ΔADC
Now , the triangles ΔABC and ΔADC are right scalene triangles
Hence , the triangles are scalene triangles
To learn more about scalene triangles click :
https://brainly.com/question/10651823
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Sandra manages to save 25% of her daily allowance. After 14 days, she has saved RM28. How much is her daily allowance?
Let her daily allowance be RMy.
0.25y x 14 = 28
0.25y=2
y=8
Therefore, her daily allowance is RM8.
Answer:
[tex]x=8[/tex]
Step-by-step explanation: [tex]25[/tex]%[tex]\times14\times[/tex][tex]x=28[/tex]
Solve the equation
[tex]0.25\times14x=28[/tex]
Multiply the monomials
[tex]3.5x=28[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]x=\frac{28}{3.5}[/tex]
Multiply both the numerator and denominator with the same integer
[tex]x=\frac{280}{35}[/tex]
Cross out the common factor
[tex]x=8[/tex]
I hope this helps you
:)
10,560 yards or 3 miles which one is bigger
Answer:
There are 10,560 yards in 3 mile or miles in 3 yard. Both yards and miles are units of length in the US customary and imperial systems of measurement.
how to find slope and writting a equation with tables
Answer:The equation of a line is written as y=mx+b, where the constant m is the slope of the line, and the b is the y-intercept.
Step-by-step explanation:
Maria has $32. She earns $12 for 1 hour of cleaning. She wants to buy a birthday gift for her friend for $125. Enter the minimum number of hours Maria must tutor to be able to buy the gift
Answer:
8 hours
Step-by-step explanation:
First, you must subtract $32 from $125. You end up with $93.
Usually, you would do 93 divided by 12, but 93 is not a multiple of 12.
96, which is 12 times 8, is the closest to 93, so 8 hours is the correct answer.
While working on homework last night, Kayla completed 4 homework assignments in 3.2 hours. The same night, Karen completed 6 homework assignments in 5 hours. Who spent the least amount of time on homework per hour?
Answer:
Kayla
Step-by-step explanation:
To find who spend the least amount of time on homework per hour, divide the number of hours by the amount of homework
Kayla: 3.2 ÷ 4 = 0.8
Karen: 5 ÷ 6 = 0.833
Since Kayla's number is lower, that means she spent fewer hours per homework than Karen. This means Karen spent the least amount of time in hours per homework.
Evaluate the limit
[tex]\rm\displaystyle\lim_{\rm x\to 4}\left(\frac{\sqrt{\rm x}-\sqrt{3\sqrt{\rm x}-2}}{\rm x^2-16}\right)=\ldots[/tex]
We are given with a limit and we need to find it's value so let's start !!!!
[tex]{\quad \qquad \blacktriangleright \blacktriangleright \displaystyle \sf \lim_{x\to 4}\dfrac{\sqrt{x}-\sqrt{3\sqrt{x}-2}}{x^{2}-16}}[/tex]
But , before starting , let's recall an identity which is the main key to answer this question
[tex]{\boxed{\bf{a^{2}-b^{2}=(a+b)(a-b)}}}[/tex]Consider The limit ;
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{\sqrt{x}-\sqrt{3\sqrt{x}-2}}{x^{2}-16}}[/tex]
Now as directly putting the limit will lead to indeterminate form 0/0. So , Rationalizing the numerator i.e multiplying both numerator and denominator by the conjugate of numerator
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{\sqrt{x}-\sqrt{3\sqrt{x}-2}}{x^{2}-16}\times \dfrac{\sqrt{x}+\sqrt{3\sqrt{x}-2}}{\sqrt{x}+\sqrt{3\sqrt{x}-2}}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x}-\sqrt{3\sqrt{x}-2})(\sqrt{x}+\sqrt{3\sqrt{x}-2})}{(x^{2}-4^{2})(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]
Using the above algebraic identity ;
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x})^{2}-(\sqrt{3\sqrt{x}-2})^{2}}{(x-4)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{x-(3\sqrt{x}-2)}{(x-4)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{x-3\sqrt{x}+2}{\{(\sqrt{x})^{2}-2^{2}\}(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{x-3\sqrt{x}-2}{(\sqrt{x}-2)(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]
Now , here we need to eliminate (√x-2) from the denominator somehow , or the limit will again be indeterminate ,so if you think carefully as I thought after seeing the question i.e what if we add 4 and subtract 4 in numerator ? So let's try !
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{x-3\sqrt{x}-2+4-4}{(\sqrt{x}-2)(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(x-4)+2+4-3\sqrt{x}}{(\sqrt{x}-2)(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]
Now , using the same above identity ;
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x}-2)(\sqrt{x}+2)+6-3\sqrt{x}}{(\sqrt{x}-2)(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x}-2)(\sqrt{x}+2)+3(2-\sqrt{x})}{(\sqrt{x}-2)(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]
Now , take minus sign common in numerator from 2nd term , so that we can take (√x-2) common from both terms
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x}-2)(\sqrt{x}+2)-3(\sqrt{x}-2)}{(\sqrt{x}-2)(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]
Now , take (√x-2) common in numerator ;
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x}-2)\{(\sqrt{x}+2)-3\}}{(\sqrt{x}-2)(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]
Cancelling the radical that makes our limit again and again indeterminate ;
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{\cancel{(\sqrt{x}-2)}\{(\sqrt{x}+2)-3\}}{\cancel{(\sqrt{x}-2)}(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x}+2-3)}{(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x}-1)}{(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]
Now , putting the limit ;
[tex]{:\implies \quad \sf \dfrac{\sqrt{4}-1}{(\sqrt{4}+2)(4+4)(\sqrt{4}+\sqrt{3\sqrt{4}-2})}}[/tex]
[tex]{:\implies \quad \sf \dfrac{2-1}{(2+2)(4+4)(2+\sqrt{3\times 2-2})}}[/tex]
[tex]{:\implies \quad \sf \dfrac{1}{(4)(8)(2+\sqrt{6-2})}}[/tex]
[tex]{:\implies \quad \sf \dfrac{1}{(4)(8)(2+\sqrt{4})}}[/tex]
[tex]{:\implies \quad \sf \dfrac{1}{(4)(8)(2+2)}}[/tex]
[tex]{:\implies \quad \sf \dfrac{1}{(4)(8)(4)}}[/tex]
[tex]{:\implies \quad \sf \dfrac{1}{128}}[/tex]
[tex]{:\implies \quad \bf \therefore \underline{\underline{\displaystyle \bf \lim_{x\to 4}\dfrac{\sqrt{x}-\sqrt{3\sqrt{x}-2}}{x^{2}-16}=\dfrac{1}{128}}}}[/tex]
We can transform the limand into a proper rational expression by substitution.
Let y = √x. Then as x approaches 4, y will approach √4 = 2. So
[tex]\displaystyle \lim_{x\to4}\frac{\sqrt x - \sqrt{3 \sqrt x - 2}}{x^2 - 16} = \lim_{y\to2} \frac{y - \sqrt{3y-2}}{y^4 - 16}[/tex]
Now let z = √(3y - 2). Then as y approaches 2, z will approach √(3•2 - 2) = 2 as well. It follows that y = (z² + 2)/3, so that
[tex]\displaystyle \lim_{y\to2} \frac{y - \sqrt{3y-2}}{y^4-16} = \lim_{z\to2} \frac{\frac{z^2+2}3 - z}{\frac{(z^2+2)^4}{81}-16} \\\\ = \lim_{z\to2} \frac{27(z^2+2)-81z}{(z^2+2)^4 - 1296} \\\\ = 27 \lim_{z\to2} \frac{z^2 - 3z + 2}{z^8 + 8z^6 + 24z^4 + 32z^2 - 1280}[/tex]
Plugging z = 2 into the denominator returns a value of 0, which means z - 2 divides z⁸ + 8z⁶ + 24z⁴ + 32z² - 1280 exactly. Polynomial division shows that
[tex]\dfrac{z^8 + 8z^6 + 24z^4 + 32z^2 - 1280}{z-2} \\\\ = z^7+2z^6+12z^5+24z^4+72z^3+144z^2+320z+640[/tex]
and it's easy to see that the numerator is also divisible by z - 2, since
[tex]z^2 - 3z + 2 = (z - 1) (z - 2)[/tex]
So, we can eliminate the factor of z - 2 and we're left with
[tex]\displaystyle 27 \lim_{z\to2} \frac{z^2 - 3z + 2}{z^8 + 8z^6 + 24z^4 + 32z^2 - 1280} = 27 \lim_{z\to2}\frac{z-1}{z^7+\cdots+640}[/tex]
The remaining limand is continuous at z = 2, so we can evaluate the limit by direct substitution:
[tex]\displaystyle 27 \lim_{z\to2}\frac{z-1}{z^7+\cdots+640} = \frac{27}{3456} = \boxed{\frac1{128}}[/tex]
Solve the equation:
10 In(100) – 3 = 117
Answer:
x = e^12/100
Step-by-step explanation:
Solve for x over the real numbers:
10 ln(100 x) - 3 = 117
Add 3 to both sides:
10 ln(100 x) = 120
Divide both sides by 10:
ln(100 x) = 12
Cancel logarithms by taking exp of both sides:
100 x = e^12
Divide both sides by 100:
Answer: x = e^12/100
Negative 32 to the power of 3 over 5
Answer:
-8
Step-by-step explanation:
-32^3/5
Fifth root of 32 is 2.
Thus, 2^3 is 8, but -8 instead due to making 32 positive
Hope this helps!
Annie sold
45 books at £1.20 each
34 candles at £1.50 each
some calendars at 90p each
She got a total of £150
Work out how many calendars Annie sold.
Answer: Annie sold 50 calendars
Step-by-step explanation:
45 * $1.20 = $54
34 * $1.50 = $51
$54 + $ 51 = $105
$150 - $105 = $45
$45 / $0.9 = 50 Therefore ,Annie sold 50 calendars
Joseph lights a candle which is 7cm high. Every 30 min, he measures the the candle and records it on the graph. what is the line equation for height of candle
y= 7- ( the length of candle decreased for 30 min)x
1 pint= 1/8 gallon. How many pints are there in 2/3 gallon.
gallon = pint *0.125
gallon = pint / 8
0.125+0.125+0.125+0.125+0.125+0.125+0.125+0.125+0.125+0.125+0.125+
0.125+0.125+0.125+0.125+0.125 = 2
16 would be the answer I believe, maybe I'm wrong, double check.
Answer:
5 1/3 pints
Step-by-step explanation:
1 pint is 1/8gal and u need to find how many pints in 2/3 gal so it'll be 2/3 ÷ 1/8 which is 5 1/3
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
C. 22/5
Step-by-step explanation:
4x5=20
20+2=22
Answer:
C. 22/5
When making an improper fraction you must first multiply the denominator with the whole number in this case that would be 4 and 5
4*5=20
Then just add the numerator
20+2=22
And bring it back over the denominator
22/5
There you go your improper fraction.
Step-by-step explanation:
If the measure of ZB is 40°, what measures can ZA and
C be? Select the three correct answers.
20° and 30°
30° and 110°
55° and 85°
60° and 90°
70° and 70°
Answer: 30° and 110°
55° and 85°
70° and 70°
The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:
= 180° - 40°
= 140°
Therefore,
30° + 110° = 140°
55° + 85° = 140°
70° + 70° = 140°
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
(-2,-6) on point
Step-by-step explanation:
Mark me brainliest!!
Answer:
(2,-2)
Explanation:
vertex after translation:
original position + translation unit
( 2 , -6 ) + ( 0 , 4 )
( 2 , -2 )
note: vertically means only up and down, there is will change in y not x.
Please help! I’ll give you brainliest immediately
For the lines to be parallel the two angles need to be equal to each other:
128-x = x
Add 1x to both sides
128 = 2x
Divide both sides by 2:
X = 128/2
X = 64
Answer: x = 64
Find the perimeter 15in 8in 9in 14in 12in
Answer:
the perimeter is 58 inches
Step-by-step explanation:
15+8+9+14+12= 58
At this weekend’s soccer game, 20 out of the first 50 people who entered the field were not wearing hats. If this sample is representative of the 250 people attending the game, about how many of them will probably NOT be wearing hats
Answer:
150 people
Step-by-step explanation:
20/50 = 40%
So 40% are wearing hats and 60% aren't
0.6=60%
250x0.6= 150
i need help please thanks
Answer:
60 degrees
Step-by-step explanation:
It measures 60 degrees
Tip: the wider the angle, the bigger the degree.
Hope this helps!
Y = 2/3x + 20
When x = 21
Answer:
34
Step-by-step explanation:
Which statements are true about rhombuses? Select all that apply.
Answer:
A, C D
Step-by-step explanation:
sorry if wrong
How many people are ten percent of the world's population?.
how to evaluate 3n, if n = 17
Answer:
51
Step-by-step explanation:
3n means 3 × n
substitute n = 17 into the expression
3n = 3 × 17 = 51