solve the proportion x-4/6=x/8

Solve The Proportion X-4/6=x/8

Answers

Answer 1
8(x-4)=6x
8x-32=6x
-32=-2x
-32/-2=x
x=16

Hope this helps!! Mark as brainliest
Answer 2

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.

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Related Questions

Jada bought a bag
for its 75 and
sold for 85.did she Profit or lose

Answers

It’s obviously a profit

❀ [tex]\huge\underline{ \underline{ \tt {ANSWER :-}}}[/tex]

⁺˚*・༓☾✧.* ☽༓・*˚⁺‧

⟹ Jada will have a profit because she sold the bag for money than she had bought it for.

[tex]85 - 75 \\ = 10[/tex]

⟹ She'll have about 10 (currency name) as the profit.

⁺˚*・༓☾✧.* ☽༓・*˚⁺‧

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ

[tex]\underbrace{ \overbrace{ \tt{Carry \: On \: Learning}}}[/tex]

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

A monkey is trying to scale a tree That is 6O feet tall. Each minute, the monkey... -Goes up three feet -But, slips down two feet How long will it take the monkey to get to the top of the tree?

Answers

Answer:

58 Minute

Step-by-step explanation:

According to the Question,

Given, A monkey is trying to scale a tree That is 6O feet tall. Each minute, the monkey Goes up three feet But, slips down two feet.

Therefore, he climbs (3-2)1 Foot in 1 minute. Now at 57minute, he scales 57feet.

Now, at the 58th minute, he climbs 3 feet More

Thus 57 feet + 3 feet = 60feet( Reached the Top of the tree Now he Never Fall again)

the monkey will take total 58 minutes to get to the top of the tree.

Question 12 of 25
Suppose that f(x) = x and g(x) = { x. Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) stretched vertically.
B. The graph of g(x) is the graph of f(x) stretched vertically and
flipped over the x-axis.
C. The graph of g(x) is the graph of f(x) compressed vertically and
flipped over the x-axis.
D. The graph of g(x) is the graph of f(x) compressed vertically.
SUBMIT

Answers

Answer: D

Step-by-step explanation:

Letter D is the correct answer to your question

Atividade 12 Observe o sistema de equações abaixo. {m−3n=16m+5n=−8​ Quais são os valores de "m" e "n" que satisfazem esse sistema de equações? m=1en=3. m=7en=–3. m=52en=–12. m=–20en=–12.

Answers

Responder:

m = 7; n = - 3

Explicação passo a passo:

Dada a equação:

m − 3n = 16m + 5n = −8

Resolvendo a equação:

m − 3n = 16 - - - (1)

m + 5n = - 8 - - - (2)

Subtraia 1 de 2

m - m - 3n - 5n = 16 - - 8

-3n - 5n = 16 + 8

-8n = 24

n = 24 / - 8

n = - 3

Coloque n = - 3 em (1)

m − 3n = 16

m - 3 (-3) = 16

m + 9 = 16

m = 16 - 9

m = 7

A PE teacher has to organise two year groups into netball teams, each separately. Year 7 has 70 students and Year 8 has 98 students. If each year group must be split up equally into teams all of the same size, what is the largest team size she can use?

Answers

Answer:

14

Step-by-step explanation:

Find HCF

Year 7: 70 students

7x5x2=70

Year 8: 98 students

7x7x2=98

HCF: 14

The largest team size she can use is 14 students.

Grade 7: 5 teams

Grade 8: 7 teams

Brainliest please, thanks!

express each of the following in the form p/q where q≠0
0.8+0.7bar+0.43(bar on 3 only)
plz help​

Answers

Answer:

8/10+7/9+39/90

Step-by-step explanation:

expressing something in the form p/q means basically make it a fraction.

.8 = 80/100

.7bar= .77777777777 (7/9)

0.43 (bar on 3 only is)= 0.433333333333333

how to make a fraction for .777777bar

10x = 7.777777777

X = .7777777777

subtract 10x-x  

we get 7/9 for .7777 (10x-x = 9 thats the denominator and, 7.7777-.7777 = 7.)

how to make a fraction for .43bar for 3 only

100x = 43.3333333333

10x = 4.33333333333

100x-10x = 43-4

43-4 = 39, and the 333333333 cancel out 39/90

two angles ina triangle have measures of 20 degrees and 50 degrees. whats the measure of the third angle?

70, 30, 120, or 110 dggrees?

Answers

Answer:

Step-by-step explanation:

All the triangle's angles measure adds up to a total of 180º

Write an equation of a line that is perpendicular to
the line y = 2/3x+5 and that passes through the
point (0,4).

Answers

Answer:

y = (-3/2)x + 4

Step-by-step explanation:

The slope of the given line is 2/3.  The slope of any line perpendicular to the given line is the negative reciprocal of 2/3, which comes out to -3/2.

Now we have the slope of the new line and know that it passes through (0, 4).  (0, 4) happens to be the y-intercept, b, in y = mx + b:

Substituting -3/2 for m and 4 for b, we get y = (-3/2)x + 4.

(First correct answer for brainliest) Find the length of JM

Answers

Answer:

JM = 18 units

Step-by-step explanation:

∆MHN and ∆JKH are similar (by A.A.A axiom)

so, their sides are proportional

i.e.

(JM+18)/(20+15) = 18/15

or, JM + 18 = 540/15

or, JM = 36-18

hence, JM = 18

Which equation represents g(x)? The graph of g(x) is a translation of y = x. Ту O g(x) = 3-4 5 O g(x) = 3/x+4 4 3 O g(x) = 5x + 1.5 2 000). 1 O g(x) = 3x - 1.5 ​

Answers

Hi there!

Before we get into translation or transformation of a graph. Let's understand how the graph of cube root of x looks like.

1. How does an original graph, or a graph without any translations look like?

They just look like in attachment as only in a shape of graph. The only difference is how the graph shifts. As you see in the attachment that the graph shifts to 4 units from 0. That means the graph of cube root of x intersects at (0,0) or origin point instead of (4,0). Since the shown graph shifts to right 4 units and intersect at (4,0). What do you think the equation for the graph would be? Let's find out below!

2. Translations/Transformation of the graph.

Have you got an equation or the answer in your mind yet? Let's say... when you shift the graph to right 4 units which equal to x = 4, the graph finally intersects the x-axis plane or y = 0. Thus making the relation for x and y (4,0). What we have to do is to substithte x = 4 and see which equation result in pure 0.

3. Conclusion and Answer

If you have already gotten the answer before reading this then congratulations! If you are confident that it is correct though. So the equation that makes x = 4 and y = 0 would be the first equation because when we substitute x = 4, it becomes cube root of 4-4 which becomes 0. Hence, the equation for the graph is cube root of x-4 or the first choice!

I hope this helps! Let me know if you have any doubts regarding your question or my answer.

In a school there are 1800 boys and 1200 girls. In an exam only 32 % of the boys passed and 50 % of the girls passed. Find the percentage of the total who did not pass.​

Answers

Answer:

Step-by-step explanation:

The total number of students is 1800 + 1200 =  3000

The % of boys who did not pass is 100% - 32% = 68%

The number of boys who did not pass is 68/100 * 1800 =       1224

The % of the girls who did not pass is 100%  - 50% = 50%

The number of girls who did not pass was 50/100 * 1200 =    600

The total number who did not pass was                                  1824

The % who did not pass was 1824/3000 * 100 = 60.8%

Work out(3^5-5^3+2) divided 4^2

Answers

Given:

[tex](3^5-5^3+2)[/tex] divided by [tex]4^2[/tex].

To find:

The simplified form of the given expression.

Solution:

We have, [tex](3^5-5^3+2)[/tex] divided by [tex]4^2[/tex]. Mathematically it can be written as:

[tex]\dfrac{3^5-5^3+2}{4^2}=\dfrac{243-125+2}{16}[/tex]

[tex]\dfrac{3^5-5^3+2}{4^2}=\dfrac{120}{16}[/tex]

[tex]\dfrac{3^5-5^3+2}{4^2}=\dfrac{15}{2}[/tex]

[tex]\dfrac{3^5-5^3+2}{4^2}=7.5[/tex]

Therefore, the simplified form of the given expression is 7.5.

P is directly proportional to (q + p)^2. Q is 1 when p is 1. Find the equation connectng q to p and find q when p is 10

Answers

Answer:

A directly proportionality between x and y is written as:

y = k*x

where k is the constant of proportionality.

Then, if p is directly proportional to (q + p)^2

We can write this as:

p = k*(q + p)^2

Now we know that q = 1 when p = 1

Then we can replace these values in the above equation to find the value of k

1 = k*(1 + 1)^2

1 = k*2^2 = k*4

1/4 = k

Then the equation is:

p = (1/4)(p + q)^2

Now we want to find the value of q when p = 10

So we just replace p by 10, and solve the equation

10 = (1/4)*(q + 10)^2

10*4 = (q + 10)^2

40 = q^2 + 2*q*10 + 10^2

40 = q^2 + 20*q + 100

This is a quadratic equation for q, such that:

q^2 + 20*q + 100 - 40 = 0

q^2 +20*q + 60 = 0

This is the equation that gives the value of q when p = 10

To solve this, we can use Bhaskara's equation, which says that for a quadratic equation:

a*x^2 + b*x + c = 0

The solutions are given by:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

In this case, the solutions for q are:

[tex]q = \frac{-20 \pm \sqrt{20^2 - 4*1*60} }{2*1} = \frac{-20 \pm 12.65}{2}[/tex]

Then we have two possible values for q:

q = (-20 + 12.65)/2 = -3.675

q = (-20 - 12.65)/2 = -16.325

Find f ′(x) for f(x) = cos (5x2).

Answers

Answer:

I think its No Solution

Step-by-step explanation:

Hope it helps

Jerry lives in a city where all the roads are organized into square blocks and the roads either run North/South or East/West (forming a big square grid). Jerry goes out walking one day. He starts by walking 3 blocks North and then 4 blocks East. Jerry next walks 2 blocks South and 1 block West, when he realizes it is getting late and he must get home quickly. If Jerry walks on the roads home using as few blocks as possible, how many blocks will it take?

Answers

Answer:

it will take Jerry 4 blocks to get home. 3 blocks West and 1 block South

Step-by-step explanation:

We use our vector notation to describe the problem. Since Jerry walks 3 blocks North, he moves in the direction 3j. He then walks 4 blocks East in the direction 4i. He walks 2 blocks South in the direction -2j and 1 block West in the direction -i.

So, his position vector r = 3j + 4i - 2j - i = 4i - i + 3j - 2j = 3i + j.

Now if we assume his home was at the origin, then his initial position r₀ = 0i + 0j

Since he is supposed to return home from his current position, his displacement is final position - initial position = r₀ - r = 0i + 0j -(3i + j) = 0i - 3i + 0i - i = -3i - j

Since -i means movement in the West direction, -3i means movement 3 blocks West.

Since -j means movement in the Southern direction, -j means movement 1 blocks South.

So, it will take Jerry 1 + 3 blocks = 4 blocks to get home. 3 blocks West and 1 block South

If p and q vary inversely and p is 22 when q is 5, determine q when p is equal to 2.

Answers

Answer:

q = 55

Step-by-step explanation:

      [tex]p\ \alpha\ \frac{1}q} \\\\p = k \times \frac{1}{q}\\\\22 = k \times \frac{1}{5}\\\\22 \times 5 = k\\\\k = 110\\\\[/tex]

Find q when p = 2

   [tex]p = k \times \frac{1}{q}\\\\2 = 110 \times \frac{1}{q}\\\\2 \times q = 110\\\\q = \frac{110}{2}\\\\q = 55[/tex]

which expression gives the volume of a sphere with radius 4

Answers

Answer:

Expression would be (4/3) (π) (4^3)

Equation would be V = (4/3) (π) (4^3)

Step-by-step explanation:

Just plug in the radius into the volume formula!

Help me to do this question ​

Answers

Answer:

140°

Step-by-step explanation:

a° = 180°-(75°-35°) = 180°-40° = 140°

What is the area of the shaded sector?
The measure of central angle XYZ is 1.257 radians.
O 101 units
O 207 units
O 40 units
O 80 units
N
8
X

Answers

40pie units squared / esa es

The area of the sector of the given circle is: 40 units²

What is circle?

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The set of all points on a plane that are a fixed distance from a center,

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

The circle is the shape with the largest area for a given length of perimeter.

Given the following:

r = 8

θ = 1.25 radians

Area of sector = (1/2) × r²θ = (1/2) × (8²)(1.25)

Hence, the Area of sector = 40 units²

Learn more about the circles on:

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2. suppose the ping pong balls in shoe box a are larger than those in shoes box b would be easy to tell which one has the greater volume? why?

Answers

Answer:

Box A have greater volume because it will be having more mass than Box B

The endpoints of a diameter of a circle are (2, 4) and (-4, 7).
What is the standard form of the equation of this circle?
Enter your answer by filling in the boxes. Enter any fractions in simplified form.
X

Answers

Answer:

(x+1)²+(y-5.5)²=45/4.

Step-by-step explanation:

1)  the common form of the required equation is: (x-a)²+(y-b)²=r², where 'a' and 'b' are the coordinates of the centre of the given circle, r - radius of the given circle.

2) the midpoint of the diameter is the centre of the given circle, its coordinates are:

[tex]\frac{2-4}{2}=-1; \ and \ \frac{4+7}{2}=5.5.[/tex]

3) the length of the radius of the given circle is:

[tex]r=\frac{1}{2}*\sqrt{(2+4)^2+(4-7)^2)}=\sqrt{\frac{45}{4}}.[/tex]

4) according to the common form and calculated the centre O(-1;5.5) and the radius it is possible to make up the required equation of the circle:

[tex](x+1)^2+(y-5.5)^2=\frac{45}{4}.[/tex]

Answer:

The correct answer is (x+1)^2 + (y−11/2)^2 = 45/4

Step-by-step explanation:

This is how the system wants it put in. See question 12

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

Answers

B and F , wish you the best enjoy!

pls help will give brainiest !!!! pls hurry pls pls

Answers

Answer:

"D" (2,4), (-2,-4)

Step-by-step explanation:

Write the quadratic function in the form f (x) = a (x - h)2 + k.
Then, give the vertex of its graph.
f (x) = – 2x² + 16x – 30

Writing in the form specified: f(x)=???

Vertex: (?,?)

Answers

Answer:

The vertex form is:

[tex]f(x)=-2(x-4)^2+2[/tex]

Where the vertex of the function is (4, 2).

Step-by-step explanation:

We want to find the vertex and the vertex form of the quadratic function:

[tex]f(x)=-2x^2+16x-30[/tex]

We have two methods of converting from standard form to vertex form: (1) by using the vertex formulas or (2) by completing the square.

Method 1) Using Formulas:

First, note that the leading coefficient of our function is -2.

The vertex of a quadratic equation is given by the formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -2, b = 16, and c = -30. Find the x-coordinate of the vertex:

[tex]\displaystyle x=-\frac{(16)}{2(-2)}=\frac{-16}{-4}=4[/tex]

In order to find the y-coordinate of the vertex, we substitute this value back in. Hence:

[tex]f(4)=-2(4)^2+16(4)-30=2[/tex]

Therefore, our vertex is (4, 2).

Vertex form is:

[tex]\displaystyle f(x)=a(x-h)^2+k[/tex]

Where a is the leading coefficient and (h, k) is the vertex.

Substitute. Our leading coefficient is -2 and our vertex is (4, 2). Therefore:

[tex]\displaystyle f(x)=-2(x-4)^2+2[/tex]

Method 2) Completing the Square:

To complete the square, we first factor out the leading coefficient from the first two terms:

[tex]f(x)=-2(x^2-8x)-30[/tex]

Then, we divide the coefficient of the b term by half and square it. This yields:

[tex]\displaystyle \left(\frac{-8}{2}\right)^2=16[/tex]

We will add this value inside of the parentheses. Since we added 16 inside the parentheses, we will subtract 16 outside of the parenthese to remain the equality of the function. However, since the parentheses is multiplied by -2, we technically added -2(16) = -32 inside. So, we will subtract -32 outside. Thus:

[tex]f(x)=-2(x^2-8x+16)-30-(-32)[/tex]

Simplify:

[tex]f(x)=-2(x^2-8x+16)+2[/tex]

Factor using the perfect square trinomial:

[tex]f(x)=-2(x-4)^2+2[/tex]

We acquire the same result.

Solve the inequality: 3x - 3 < 9

Answers

Answer:

[tex]x<4[/tex]

Step-by-step explanation:

Given:

[tex]3x-3<9[/tex]

Add 3 to both sides

[tex]3x<12[/tex]

Divide both sides by 3 to get x alone

[tex]x<4[/tex]

Hope this is helpful

What is the product of 4xy and y^2 + 2x

Answers

Answer:

C

Step-by-step explanation:

4xy(y^2 + 2x)               Remove the brackets (distributive law)

4xy^3 + 8x^2y

You have to turn the two terms around to see the correct answer. That's perfectly alright when dealing with addition of pluses.

8x^2y + 4xy^3

PLEASE HELP HURRY ASAP

The spinner depicted is a fair spinner. The spinner is least likely to land on which number?



A. 1


B. 2


C. 3


D. it is impossible to tell

Answers

A because it’s the smallest area between the numbers where as you can tell 2 is the biggest so more likely to land on that than any other so 1 is the smallest therefore it is less likely to land in 1 than any other number

Jasmine ran 5 miles in 42.5 minutes. Caroline ran 3 miles in 26.4 minutes. Who ran at a faster pace?

A) Jasmine because she ran 0.8 minute faster per mile.
B) Jasmine because she ran 0.3 minute faster per mile.
C) Caroline because she ran 0.7 minute faster per mile.
D) Caroline because she ran 0.2 minute faster per mile

Answers

Answer:

B

Step-by-step explanation:

For this problem, let us find the respective speeds of Jasmine and Caroline and compare the two. All we have to do is divide #minutes by #miles to find the time spent per one mile.

Jasmine:

[tex]\frac{42.5}{5} =\\\\[/tex]

[tex]8.5[/tex] minutes per mile

Caroline:

[tex]\frac{26.4}{3} =\\[/tex]

[tex]8.8[/tex] minutes per mile

Since Caroline takes longer to run a mile than Jasmine, We now know that Jasmine ran at a faster pace:

[tex]8.8-8.5=0.3[/tex]

B. Jasmine ran at a faster pace because she ran 0.3 minutes faster per mile.

I hope this helps! Let me know if you hae any questions :)

0. 00147 in standard form

Answers

Answer:

Answer: It can be written as 1.47x10-³

Step-by-step explanation:

0.00147 = 1.47

1.47 = 1.47 x 10 -^3

BRAINLIEST TO WHOEVER IS CORRECT!!!

Write an equation that represents the line.
Use exact numbers.


Answers

Answer:

y=[tex]-\frac{4}{3}[/tex]x+2

Step-by-step explanation:

To write the equation for this line, we are going to use slope-intercept form, which is written as

y=mx+b.

Here are the meanings of each variable:

y= basically the "name" of the function and it always stays as y.

m= slope, which is rise over run.

x= variable that is always on the right of the slope and it always stays as x.

b= y-intercept, or the value that crosses the y-axis.

We will substitute numbers into the equation along the way. The first thing we will want to do is find b, which is the easiest.

The line crosses the y-axis at 2, so that is our value of b.

Our new equation is

y=mx+2.

Next, we will find the slope. The most efficient way of doing this is looking at the lowest point that is already provided, (3, -2), and finding a way to rise and run to the highest point, (0, 2).

If you look closely at the graph, we need to rise up 4 and run over -3 to get to the other point. Therefore, the slope is [tex]-\frac{4}{3}[/tex], and we can substitute it into our equation, which is completed and is now

y=[tex]-\frac{4}{3}[/tex]x+2

I hope this helps you out!! Have an awesome day ^^

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