sole the proportion

Sole The Proportion

Answers

Answer 1

Answer:

11/6 or 1.8333333333

Step-by-step explanation:

[tex]\frac{2x + 1}{6}[/tex] = [tex]\frac{7}{9}[/tex]

Cross Multiply:

7 x 6 = 42

9 (2x+1)

42 = 9(2x+1)

42 = 18x + 9

Then, isolate the variable. In order to do so, subtract 9 from both sides.

33 = 18x

Now, divide by 18 (to find x)

33/18 =

1.8333333 or 11/6


Related Questions

Given that AD is the perpendicular bisector of BC, AB=21.3, AC=21.3, and DC=9.1, identify BC.

a) BC = 42.6
b) BC = 18.2
c) BC = 9.1
d) BC = 4.55

sorry i can't upload a picture of the triangle but this is from an luoa assignment. i know it's not C

Answers

answer. B hope this helps

The length of BC is 18.2 units.

The correct answer is option b) BC = 18.2.

Since AD is the perpendicular bisector of BC, it divides BC into two equal segments. Let's call the point of intersection between AD and BC as M. Therefore, BM = MC.

According to the given information,

AB = AC = 21.3. Since AD is the perpendicular bisector of BC, it implies that AM is equal to MC.

Therefore, AM = MC = BC/2.

We are also given that DC = 9.1. Since MC = DC, we can conclude that BC/2 = 9.1.

To find BC, we can multiply both sides of the equation by 2:

BC = 2 x 9.1

BC = 18.2.

Learn more about perpendicular bisectors here;

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What is the solution to the system of equations shown below?
4x-y=-8
y=2x+2​

Answers

Answer: (-3,-4)

Step-by-step explanation:

4x-y=-8

y=2x+2

4x-(2x+2)=-8

2x-2=-8

y=2x+2

x=-3

y=2(-3)+2

y=-4

x=-3 , y=-4

Which two changes are caused by shear acting on Earth's crust?​

Answers

Answer:

Two slabs of rock slide past one another

one slab of rock breaks into two peices

Step-by-step explanation:

The two changes caused by the shear on the earth crust are; A: One slab of rock breaks into two peices. C: Two slabs of rock slide past one another;

How to describe the shear acting on Earth's Crust?

Shear stress usually occurs when two plates rub against each other as they move in opposite directions.

Now, when shear stress occurs on the earth's crust, the force generated by the stress tends to push some of the crust in different directions. This would mean that a large part of the crust can break off, which makes the plate size smaller.

Thus, when a shear stress acts on the earths' crust, One slab of rock breaks into two peices. C: Two slabs of rock slide past one another;

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If < ABC forms a linear pair with < CBD, use the linear pair postulate to determine the value of X. Then find the measure of each angle.

X = _____ ??

m < ABC _____ ??

m < CBD _____ ??

Please help! I’ll give brainliest!!

Answers

Step-by-step explanation:

2x+13x-15=180 since a linear pair is a pair of consecutive angles that adds up to 180 degrees.

15x-15=180 because we combine like terms.

15x=165 because of the subtraction property of equality.

x=11 by the division property of equality.

abc=22 by substitution and multiplication

cbd=143-15 by substitution and multiplication

cde=128 by subtraction

Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −x+4y=20? Drag each choice into the boxes to correctly complete the table.

Answers

Answer:

Parallel: -x+4y=8  

Perpendicular: 4x+y=-1,  y=-4x-3

Neither: y= -(1/4)x+6

Step-by-step explanation:

Verified correct with test results.

help me asap thanks ! :)

Answers

Answer 145°

Step-by-step explanation:

( 5x+5 ) + 40° = 15x - 5

[ Reason : exterior extended angle of a triangle is always equal to the sum of two non adjacent interior angles ]

( 5x+5 ) + 40° = 15x - 5

i.e, x= 10°

put this value of x on <PGF

= 15x - 5

= 15 * 10 - 5

=145°

Liam draws a pattern of shapes. The first shape is a triangle. Each shaple in the pattern has 1 more side than the shape before it. What could be the third shape in Liam's pattern?​

Answers

Answer:pentagon

Step-by-step explanation:

triangle has 3

square has 4

pentagon has 5

Pentagon is the correct answer because all of the info givin leads to a pentagon

Which table shows a constant rate of change

please answer!

Answers

Answer: Feet to yards, all other are inconsistent.

Step-by-step explanation:

If point (1,0) is on the line whose equation is y=2x+b, what is the value of b?

Answers

Answer:

-2

Step-by-step explanation:

Here we just need to substitute the values in. 0=2(1)+b.

2(1)=2

0=2+b

-2   -2

-2=b

Hope this helps :-)

Choose the simplified answer for this expression.
3(q + 1) - 4

A: 3q - 1

B: 3q + 7

C: 3q - 4

D: 3q + 3

Answers

Answer:

A

Step-by-step explanation:

If you simplify, you get: 3q+3-4

Simplify more: 3q-1

most simplified.

PS You get 3q+3 by using the distributive property

Evaluate each value expression for the given value of the variable : 40-9y when y=2

FAST!!!!!!!!!

Answers

Answer= 22
40-9(2)
40-18
=22

Can someone please help me!! If you r correct ill mark u as the best answer choice!

Answers

there is no solution :)

If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
“I think of a number, take away 1 and multiply the result by 3."

Answers

Answer:

X-1=X×3

Step-by-step explanation:

it's pretty easy you just got to be focus

you can ask for help anytime

Algebra 2 question on matrices. Please help!!

Solve the system of equations below using matrices.

Answers

Answer:

(1,-2)

Sorry I don't have time to show the work rn, I hope this helps though

Answer:

Step-by-step explanation:

2,1 answer is A

Please help thank you so much

Answers

Answer:

yes

when the point is pugged into the equality, it works

EASY MATH QUESTION HELP! Under the Angle Addition Postulate, which equation would be valid?

What is true about angles 2 and 7 in the picture below?

Answers

Answer: Whats True about 2 angles and 7 anglesis that They are not the same number and one of them is less and great

Step-by-step explanation: This is not a easy math question.

Solve |1 - 4x| > 7
I need help pls

Answers

Answer:

the answer is 28

Step-by-step explanation:

Amanda’s dog eats 12 1/2 pounds of dog food in 3 weeks. How much does Amanda's dog eat each day? Leave your answer as a fraction.

Answers

Answer- 25/6 or 4 1/6

Work:

1. change the mixed number 12 1/2 to a fraction — 25/2

2. We can put 3 as a fraction by placing a 1 under it.

3. Now the equation looks like:
25/2 divided by 3/1

4. Remember when you divide fractions you change the sign to multiplication and flip your second term.

5. The equation now looks like:
25/2 x 1/3

6. Multiple across to get 25/6

7. The answer is 25/6 or you can write it as a mixed number 4 1/6

If the graph of y=|x| is compressed vertically by a factor of 1/3, reflected about the x-axis and translated 3 unit(s) left and 5 unit(s) up, what is the equation of the new graph?

Answers

Answer:

Y= -1/3 |x+3| +5

Step-by-step explanation:

An absolute value will always make a V line.

In your particular problem it wants you to reflect it over the x axis, and to do this you simply need to place a negative.

A negative in the beginning of the problem is only there to say whether you flip your line or not, and this means you don't have to worry about it any more.

What it looks like so far: Y= -

Next it wants you to compress the line vertically by 1/3

A number that causes your line to compress is always less than one

A number that stretches your line would be 1 or more

This number is always placed right next to the left of the parenthesis or absolute value.

What it looks like so far: Y= - 1/3

Now we want the line to move left 3 units.

We are now inside of the absolute value because this is where we move the line left or right. This can get a little confusing, but once you get it then you don't forget it.

Inside the line.. a -# moves right and a +# moves left.

This number should be placed inside the absolute value and to the right of the x.

What it should look like: Y= - 1/3 |x + 3|

Now they want us to move the line up by 5 points.

To the outer right side of the absolute value is where we move things up or down.

To move a number up you need to place a + sign with however many places it wants you to move to the right of the sign, but to move the line down you need to place a - sign with however many places it wants you to move to the right of the sign.

To move this up you simply need to place a +5 to the outer right side of the absolute value.

What you should end up with: Y= - 1/3 |x+3| +5

perimeter = 36 calculate
the value of x when x-2 in
square​

Answers

Answer:

11

Step-by-step explanation:

36/4 = 9

9 = x-2

x = 11

Step-by-step explanation:

Perimeter = 36

length = x - 2

Perimeter of a square = 4 × length

36 = 4(x - 2)

dividing through by 4:

9 = x - 2

hence:

x = 9 + 2 = 11.

Write the equation of the line that has the indicated slope and y-intercep
Slope = 2; y-intercept is (0,5)
Hurry I need this nowwww

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

Step 1:

y = mx + b         Slope Intercept Form

Step 2:

y = 2x + b         Insert Slope

Step 3:

5 = 2 ( 0 ) + b         Input x and y values

Step 4:

5 = b           Multiply

Answer:

y = 2x + 5        

Hope This Helps :)

Determine the average rate of change of the function over the interval (-7, ) x ( ,3)

Answers

Answer:

as always, the rate of change is ∆y/∆x. In this case, that's

(127-95)/(3-1) = 16

Step-by-step explanation:

A 12 volt battery is connected to two resistors in series. The first resistor has a resitance value of 5 Ohms and the current through the circuit is 1.5 Amps. What is the value of the second resistor?

a
9 Ohms
b
1.5 Ohms
c
5 Ohms
d
3 Ohms

Answers

Answer:

3 Ohms

Step-by-step explanation:

U1 = 5 ohm × 1.5 amps = 7.5 V

U2 = U - U1 = 12 - 7.5 = 4.5 V

R2 = U2 / I = 4.5 / 1.5 = 3 Ohms

Consider polynomial function f(x)=(x-1)^2(x+3)^3 (+1) Use the equation to complete each statement about this function.

Answers

Answer:

I got you my man

Step-by-step explanation:

Blank 1: 2

Blank 2: 3

Blank 3: 1 only

The blanks will have values 2, 3,  and 1 respectively.

What is zero of a function?

Zero of a function is defined as the roots of the function for which the value of the function will be 0 at those points.

If p is the zero of the function f(x)=0 then f(p)=0.

We have,

f(x) = (x-1)² (x+3)³ (x+1)

Now,

The zero is located at x=1 and has a multiplicity of 2.

Because the number of times a given factor appears in the factored form of the equation of a polynomial is called the multiplicity.

The zero is located at x = - 3 and has a multiplicity of 3. The graph of the function will touch, but not cross, the x-axis at the x - the value of 1.

The complete question is given below:-

Consider polynomial function f f(x)=(x-1)^2(x+3)^3(x+1)

use the equation to complete each statement about this function

The zero located and x=1 has a multiplicity of __ and the zero located at x=-3 has a multiplicity of __. The graph of the function will touch, but not cross, the x-axis at the x-value of __.

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Cual temperatura es mas caliente ( 25°C , 280°K ó 40°F)

Answers

Answer:

25 Celsius es igual a 77 F, 77 es mas grande que 40 F

Step-by-step explanation:

Espero que la info. ayude

El símbolo de grado no se usa para informar la temperatura usando la escala Kelvin, sino que se indican como Kelvin. El agua hierve a 100 grados Celsius o 212 grados Fahrenheit, o 373,15 Kelvins. El agua se congela a 0 grados Celsius o 32 grados Fahrenheit, o 273,15 Kelvins. El cero absoluto es 0 Kelvin.

HELP PLS WILL MARK BRAINLIEST!!!!!!!!!!!!

Answers

This is fairly easy.
60x30=1800
Just add up the zeros from both numbers and do 6x3.
So therefore there will be 18 hundreds sections since there is nothing on the tens digit and nothing on the ones digit.
Hope this helps!

Please help... The legs of an isosceles right triangle are 5 inches long. What is the length of the hypotenuse of the triangle to the nearest inch?
A. 7 in
B. 10 in
C. 25 in
D. 50 in

Answers

The answer is in fact D
True answer is D maam

What is the slope intercept equation for thus line?

Answers

Answer:

y= 2/3 x + 4

y- intercept= (0,4)

and slope of the line is 2/3

Answer:

B.

Step-by-step explanation:

y = mx + b

The y-intercept is the point (0, 4), so you get b = 4

You now have

y = mx + 4

Now start at the y-intercept, (0, 4). Go up 2 units and right 3 units to a point on the line; rise = 2; run = 2.

slope = m = rise/run = 2/3

Now you have

y = 2/3 x + 4

Answer: B.

Answer all this.plz again​

Answers

Answer:

BC=7 cm

Step-by-step explanation:

Evaluate each value expression for the given value of x: 2x+10, x=7

Answers

Answer: 24

Step-by-step explanation: Here, we have the expression 2x + 10,

and we want to evaluate the expression when x = 7.

To an evaluate an expression, we simply plug

the value of the variable into the expression, and solve.

So here, since x = 7, we have 2(7) + 10.

2(7) is equal to 14 so we have 14 + 10 which is equal to 24.

So the value of our expression when x = 7 is 24.

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