The solution to the proportion is x = 16.
We have,
To solve the proportion (x - 4)/6 = x/8, cross-multiply and then solve for x.
Cross-multiplying gives:
8(x - 4) = 6x
Now, distribute the 8 on the left side:
8x - 32 = 6x
Next, isolate the x term by subtracting 6x from both sides:
8x - 6x - 32 = 6x - 6x
2x - 32 = 0
Finally, add 32 to both sides to solve for x:
2x - 32 + 32 = 0 + 32
2x = 32
Divide both sides by 2:
(2x)/2 = 32/2
x = 16
Therefore,
The solution to the proportion is x = 16.
Learn more about expressions here:
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If each dimension of the cylinder is doubled, how many
times larger will the volume of the cylinder be?
I need help fast please!!!!
Answer:
f translates right 2 units to get g. sorry about my English
Please HELP ITS DUE LATER TODAY PLZ HELP ILL AWARD BRAINLIST
can someone walk me through this
3 = -2 |.25s - 5| +3
Answer:
s = 20
Step-by-step explanation:
Given
3 = - 2 | 0.25s - 5 | + 3 ( subtract 3 from both sides )
0 = - 2 | 0.25s - 5 | ( divide both sides by - 2 )
0 = | 0.25s - 5 | , then
0.25s - 5 = 0 ( add 5 to both sides )
0.25s = 5 ( divide both sides by 0.25 )
s = 20
Answer: S=20
Step-by-step explanation:
Data: 3=-2(0.25s-5)+3
S=?
Step one, Multiply .25s and -5 by -2
-2x0.25s=-0.50s
-2x-5=10
Reason: When something is in parenthesis, that is the first thing you evaluate, and since -2 is right next to the parenthesis, you multiply both numbers by -2 to get -.50s and 10
Step two, add like terms
3=-.50s+10+3=3=-.50s+13
Reason: When there are like terms(terms with the same variable or same exponent, etc.) You have to add them or else evaluating things will get harder to do as you go on, in this case, the two like terms(3 and 10) added together get 13.
Step three, subtract 13 on both sides
3-13=-.50s+13-13
-10=-.50s
Reason: Because the point of this is to single out 's', you have to get rid of the 13 and since it's a positive 13, you add it to a negative to cancel it out, but what you do to one side you do to the other so you subtract 13 from 3 to get negative 10.
Step four, divide -.50 on both sides
-10/-.50=-.50s/-.50
S=20
Reason: Since you have to isolate 's' and it's right next to -.50(which means multiplication), you have to divide it to get rid of it. Since what you do to one side you do to the other, you divide -10 by -.50 to get 20=S
That's how you get the answer
I hope this helps!
At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which
expression represents how much she will receive in commission from the sale?
small question will mark brainly “A cube has edges all of 6cm. A cuboid with the same volume has a side of 4cm and a side of 6cm. As one side is 2cm shorter than one of the sides of the cube, to keep the volume the same the other side must be made 2cm longer. how much is the total?? and please explain
Answer:
Volume of cube = 216
Dimesnions of cuboid = 4 * 6 * x
x = 216 / 24x
x = 9cm
Step-by-step explanation:
Hope this helps... pls vote as brainliest
A farmer uses 1/3 of an acre of land to grow carrots.
The carrots are grown in
There are 15 rows of carrots.
What part of land does each row of carrots take up?
Answer:
the answer is 1/45
Step-by-step explanation:
just use the proportion method
What is the value of [tex]\frac{81^4}{3^5}[/tex]? (Express your answer in exponential form.)
Answer:[tex]3^1^1\\[/tex]
Step-by-step explanation:
[tex]\frac{81^4}{3^5}[/tex]
[tex]\frac{3^1^6}{3^5}[/tex]
The base is same power can be add or subtract
[tex]3^1^6^-^5[/tex]
[tex]3^1^1[/tex]
The area of a rectangle is given as x^2+ 5x+6. Which expression represents either the
length or width of the rectangle?
a) (x-3)
b) (x + 6)
c) (x + 1)
d) (x+3)
Answer:
d) x + 3
Step-by-step explanation:
= x² + 5x + 6
Factorise :-
= x² + 2x + 3x + 6
= x(x + 2) + 3(x + 2)
= (x + 2)(x + 3) [Taking common]
Here we are getting (x + 3) as a factor of x² + 5x + 6 which will be either length or the width
What is the area? Bit confused on this one.
Answer:
A = 9x² + 12x
Step-by-step explanation:
The area (A) of the rectangle is calculated as
A = height × width
= 3(3x² + 4x) ← distribute parenthesis by 3
= 9x² + 12x
Answer:
For the blue one:
A1=length*breadth
=3*3x^2
=9x^2
For pink:
A2=length*breadth
=3*4x
=12x
So the total area is:
A=A1+A2
=9x^2+12x
If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2
Answer:
y = 8(2) = 16
Step-by-step explanation:
"If y varies directly as x," then y = kx, where k is the constant of proportionality.
Here, when x = 6, y = 48. This data lets us calculate k:
48 = k*6, or k = 8.
Then the pertinent equation is y = 8x.
If x = 2, y = 8(2) = 16
Math tough, who agrees to this statement
Answer:
$1160
Step-by-step explanation:
And yes I agree to this statement
On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2). Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
How do I solve this please? Can SOMEONE please help me this and the ones Iposted on my page.
Answer: [tex]\dfrac{15}{64}[/tex]
Step-by-step explanation:
Given
Inside radius of figure [tex]r_1=\frac{14}{2}=7\ ft[/tex]
Outside radius of figure [tex]r_2=\frac{16}{2}=8\ ft[/tex]
Area of outside region is [tex]A_1=\pi (8^2)[/tex]
Area of inside region [tex]A_2=\pi (7)^2[/tex]
Area of shaded region [tex]A_1-A_2[/tex]
Probability that point lies inside the shaded region is
[tex]\Rightarrow P=\dfrac{A_1-A_2}{A_1}\\\\\Rightarrow P=\dfrac{\pi (8^2-7^2)}{\pi 8^2}\\\\\Rightarrow P=\dfrac{64-49}{64}\\\\\Rightarrow P=\dfrac{15}{64}[/tex]
Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth.
Answer:
[tex]MK\approx 87.7[/tex]
Step-by-step explanation:
By definition, similar polygons have corresponding sides in a constant proportion. Therefore, we can set up the following proportion (ratio of corresponding sides) to solve for [tex]MK[/tex]:
[tex]\frac{20}{13}=\frac{MK}{57},\\MK=\frac{57\cdot 20}{13}\approx \boxed{87.7}[/tex]
Answer:
87.7
Step-by-step explanation:
Like stated previously similar triangle have side lengths with common ratios
*Create a proportionality to solve for MK*
57/13 = MK / 20
Now solve for MK
Multiply each side by 20
57/13 * 20 = 87.7 ( rounded )
MK/20 * 20 = MK
We're left with MK = 87.7
Michelle invested $10,000 for one year, part at 8% interest and the rest at 12% annual interest. Her total interest for the year was $944. How much money did she invest at 12% interest?
Step by step please.
Answer:
Michelle invested $ 6,400 at 8% and $ 3,600 at 12%.
Step-by-step explanation:
Given that Michelle invested $ 10,000 for one year, part at 8% interest and the rest at 12% annual interest, and her total interest for the year was $ 944, to determine how much money did she invest at 12% interest, the following calculation must be done:
10,000 x 0.08 + 0 x 0.12 = 800
8,000 x 0.08 + 2,000 x 0.12 = 880
4,500 x 0.08 + 5,500 x 0.12 = 1,020
6,000 x 0.08 + 4,000 x 0.12 = 960
6,500 x 0.08 + 3,500 x 0.12 = 940
6,400 x 0.08 + 3,600 x 0.12 = 944
Therefore, Michelle invested $ 6,400 at 8% and $ 3,600 at 12%.
Picture is attached, please explain answer
Answer:
20 Yellow Counters
Step-by-step explanation:
You can see the clues with how the ratio changes.
To change from (1:4) => (5:1) is not because any were taken away from the value that is the Yellow counters, it is purely because the amount added to the blue counters was so large that they simply simplified the ratio.
The real value of the ratio if reverted back to it's original state would be:
=> (20:4)
95 blue counters is equivalent to 19 in the ratio. We know this because it increased from 1 to 20.
95/19 => 5
Each Ratio in the original one presented is equal to 5.
5 * 4 = 20 Yellow Counters
Answer:
sorry I don't Know ·ω·
Step-by-step explanation:
Hiiioo! Can someone please help me out! :)❤️
Answer:
-2/3
3/2
Step-by-step explanation:
slope is m in the equation y = m*x+b.
3y=-2x-3
y=-2/3x-1
parallel lines have the same slope, so slope of parallel lines is -2/3
perpendicular lines have negative the inverse
so -(-3/2)=3/2
In parallelogram EFGH if m∡GHE=160 find ∡m∡EFG
Answer:
160°
Step-by-step explanation:
since it is a parallelogram it's opposite angles must be equal . So,
angle GHE = angle EFG
160 degree = angle EFG
Last year, samantha spent $2,478 for natural gas. This year, she decided to use balance billing. What will her monthly payment be this year?
Answer:
She will need to pay $206.50 per month.
Step-by-step explanation:
Divide the total cost ($2,478) by the number of months (12 mos) to obtain Sam's monthly payment:
$2,478
---------------- = $206.50/month
12 months
She will need to pay $206.50 per month.
I NEED HELP PLZ it is very much appreciated
Answer:
C
Step-by-step explanation:
average, average, average
if there is one dot to the right that is far away and 3 dots to the left that are close to the like, estimated distance of the right dot would be 3 and the total distance sum of each dot to the left is 3, so the line would be between the 1 right dot and 3 left dots
Answer:
D
Step-by-step explanation:
D has three dots near to the line
son las partes de las que se compone el reporte de la encuesta:
A)lnicio, desarrollo y fin.
B) lntroduccion, desarrollo y conclusiones.
C ) Entrada,cuerpo y cierre
D )Ninguno de los anteriores
Answer:
Na dimio reso
Ta pidi yo
Era olvida yo contigo
Step-by-step explanation:
there's no explanation
in a class 3/5 of the pupils are boys. If there are 24 girls,how many boys are there in the class ?
Answer:
36 boys
Step-by-step explanation:
let x be the number of pupils in the class , then
[tex]\frac{3}{5}[/tex] x + 24 = x ( multiply through by 5 to clear the fraction )
3x + 120 = 5x ( subtract 3x from both sides )
120 = 2x ( divide both sides by 2 )
60 = x
Then
number of boys = [tex]\frac{3}{5}[/tex] × 60 = 3 × 12 = 36
Perímetro de un círculo de 2.5
Answer:
La circunferencia del círculo es igual a Pi π veces el diámetro d. Dado que el diámetro d es igual a 2 veces el radio r, la fórmula para la circunferencia que usa el radio es 2πr 2 π r.
Step-by-step explanation:
Based on your observations, what conclusion can you draw about the lengths of AB DB AE EC
Answer:
The ratio of AD to DB is equal to the ratio of AE to EC. In other words, the pairs of lengths are proportional.
Step-by-step explanation:
Sample answer from plato
Khairul deposited $ 600 in a bank at the end of 2010 and another $ 400 in the same bank at the end of 2011. The bank offers simple interest at a rate of 3% per annum. Find the total amount he has in his bank at the end of 2013.
the answer is 1078 .
(But how )
Answer:
bat puro math pede history lng
which TWO numbers round to 3 as the nearest whole number?
A. 2.226
B. 2.562
C. 2.332
D. 2.351
E. 1.975
F. 2.864
, please
The rectangle has length 4.5cm and width 2.8cm. Work out the area
Answer:
11/1//11/1
Step-by-step explanation:
Gretchen make a paper cone to hold a gift for a friend the paper cone was 10 inches high and had a radius of 4 inches find the volume of the paper cone to the nearest tenth use 3.14 for pi
Answer: [tex]167.5\ in.^3[/tex]
Step-by-step explanation:
Given
Height of paper cone [tex]h=10\ in.[/tex]
Radius of cone [tex]r=4\ in.[/tex]
The volume of the cone is given by
[tex]\Rightarrow V=\dfrac{1}{3}\pi r^2h[/tex]
Insert the values
[tex]\Rightarrow V=\dfrac{1}{3}\times 3.14\times 4^2\times 10\\\\\Rightarrow V=167.5\ in.^3[/tex]
Thus, the volume of the cone is [tex]167.5\ in.^3[/tex]
What is the exact area of shaded region of the circle? Show all work.
Answer:
[tex]A=\frac{513\pi}{8}[/tex]
Step-by-step explanation:
1.Approach
To solve this problem, find the total area of the circle. Then multiply the total area by the fraction of the circle that is shaded.
2.Find the area of the circle
The formula to find the area of a circle is the following,
[tex]A=(\pi)(r^2)[/tex]
Where ([tex]r[/tex]) represents the radius of the circle, that is the distance from the center of the circle to the circumference of the circle (the outer edge). ([tex]\pi[/tex]) represents the numerical value (3.1415..).
Substitute the given values into the formula and solve for the area.
[tex]A=(\pi)(r^2)\\\\A=(\pi)(9^2)\\\\A=(\pi)(81)[/tex]
3.Find the percent of the circle that is shaded
There are a total of (360) degrees in a circle. It is given that (75) degrees are not shaded. To find the fraction of a circle that is shaded, subtract (75) form (360). Then put this value over (360) and simplify.
[tex]360 - 75 = 285[/tex]
Now put this number over (360) to find the fraction of the circle that is shaded.
[tex]\frac{285}{360}[/tex]
[tex]=\frac{19}{24}[/tex]
4.Find the area of the shaded region
Now multiply the total area by the fraction that the shaded region occupies.
[tex](81)(\pi)*(\frac{19}{24})\\\\=\frac{(81)(19)(\pi)}{24}\\\\=\frac{513(\pi)}{8}[/tex]