Find the length of side x in simplest radical form with a rational denominator.

Answer:

y =-2/3x

x = 1

Step-by-step explanation:

adding both equations and then we find the value of y which is given below

y = -2/3x

and then putting the value of y in any above equation then we find the value of X which is given below

X = 1

Answer:

2,3,4, and 6

Step-by-step explanation:

All of these answers are factors of 24. 2 times 12 is 24, 3 times 8 is 24, and 4 times 6 is 24. Therefore, 24 is divisible by these 4 numbers.

Answer: the value is 13

Step-by-step explanation:

we simply substitute the letter for the number 4.

4^2 - 3

16 - 3

13

Answer:

13

Step-by-step explanation:

Answer:

KL = 10

Step-by-step explanation:

Point K is on line segment \overline{JL} JL . Given

JK=2x−2

JL=2x+8

KL=x-9

JL = JK + KL

Hence:

2x + 8 = 2x - 2 + x - 9

2x + 8 = 2x + x - 2 -9

2x + 8 = 3x - 11

Collect like terms

3x - 2x = 8 + 11

x = 19

We are to find the numerical length of KL

KL = x - 9

KL = 19 - 9

KL = 10

Answer:

[tex]y=\frac{47}{14}[/tex]

Step-by-step explanation:

Given

[tex]-10\left(-\frac{1}{2}\right)+\left(-\frac{7}{2}\right)+7y=25[/tex]

Required

Solve for y

[tex]-10\left(-\frac{1}{2}\right)+\left(-\frac{7}{2}\right)+7y=25[/tex]

Open brackets

[tex]\frac{10}{2}-\frac{7}{2}+7y=25[/tex]

Collect Like Terms

[tex]7y=25 -\frac{10}{2}+\frac{7}{2}[/tex]

Take L.C.M

[tex]7y=\frac{50-10+7}{2}[/tex]

[tex]7y=\frac{47}{2}[/tex]

Divide both sides by 7

[tex]y=\frac{47}{2*7}[/tex]

[tex]y=\frac{47}{14}[/tex]

Answer:

J

Step-by-step explanation:

-11=4(-3)+1

-3 =4(-1)+1

1 =4(0)+1

9 =4(2)+1

13=4(3)+1

21=4(5)+1

Answer:

y = [tex]-\frac{5}{3}[/tex] x + 5

Step-by-step explanation:

Solve an equation for a variable mean to leave that variable on one side of that equation by itself.

5x + 3y = 15

5x + 3y - 5x = 15 - 5x

3y = - 5x + 15

[tex]\frac{3y}{3}[/tex] = [tex]\frac{-5x}{3}[/tex] + [tex]\frac{15}{3}[/tex]

y = [tex]-\frac{5}{3}[/tex] x + 5

Answer: x = 15

Step-by-step explanation:

same thing. here's my work:

4x - 5 = 3x + 10

4x - 5 (+ 5) = 3x + 10 (+ 5)

4x = 3x + 15

4x (- 3x) = 3x (- 3x) + 15

x = 15

The solution is 4 : 5

The ratio of the fraction is 4 : 5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be A

Now , the value of A is = 16 cm

Let the second number be = B

The value of B is = 20 cm

The ratio of A and B is calculated as C

where C = A / B

A goes to the numerator of the fraction and B to the denominator

Substituting the values in the equation , we get

C = A/B

C = 16/20

On simplifying the equation , we get

C = 4/5

Therefore , the value of C is 4 : 5

Hence , the value of equation is 4 : 5

To learn more about equation click :

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23 days would pass by and they would both go to the laundromat on the 24th day.

Answer:

Option D

Step-by-step explanation:

[tex] \frac{5x}{2} - 7 = \frac{3x}{4} + 14[/tex]

[tex] = > \frac{5x}{2} - \frac{3x}{4} = 14 + 7[/tex]

[tex] = > \frac{7x}{4} = 21[/tex]

[tex] = > x = \frac{21 \times 4}{7} = 12[/tex]

Answer:

13

Step-by-step explanation:

7c=103-12

7c=91

c=13

Answer:

Step-by-step explanation:

Here you go mate

Step 1

12+7c=103  Equation/Question

Step 2

12+7c=103  Simplify

Step 3

12+7c=103  Subtract 12

7c=91

Step 4

7c=91  Divide both sides

answer

c=13

Hope this helps

c

you need to find the slope and then y intercept

m=y2-y1/x2-x1

so m=2

now y intercept

3=2(4)+b

solve for b

u get -5

therefore

y=2x-5

Answer:

n  <  − 90

Step-by-step explanation:

hope this helps and have a great day!

Answer:

In 3 min = 4 1/2

10 min = 15

If you multiply both of the snakes speed by the specific amount of minutes and then subtract both of the sums you'll get the answer :)

Answer:

[tex]Area = 2900[/tex]

Step-by-step explanation:

Given

[tex]A (x_1,y_1) = (40,20)[/tex]

[tex]B (x_2,y_2) = (80,20)[/tex]

[tex]C (x_3,y_3) = (100,70)[/tex]

[tex]D (x_4,y_4) = (40,70)[/tex]

Required

Determine the Area

The area of the section is:

[tex]Area = \frac{1}{2}|(x_1y_2 + x_2y_3 + x_3y_4 + x_4y_1) - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_1)|[/tex]

Substitute values for the x's and y's

[tex]Area = \frac{1}{2}|(40 * 20 + 80*70 + 100*70 + 40*40) - (20*80 + 20*100 + 70*40 + 70*40)|[/tex]

[tex]Area = \frac{1}{2}|15000 - 9200|[/tex]

[tex]Area = \frac{1}{2}|5800|[/tex]

[tex]Area = \frac{1}{2} * 5800[/tex]

[tex]Area = 2900[/tex]

Hence, the area of the section is 2900ft^2

Answer:

Graph of the new function will be vertically stretched by 2 units.

Step-by-step explanation:

A linear function is represented by the equation, y = [tex]\frac{1}{3}x+ 4[/tex]

This function has the slope = [tex]\frac{1}{3}[/tex] and y-intercept = 4

If this function is stretched vertically by 'k' the the equation of the new function will be,

y = [tex]a(\frac{1}{3})x+ 4[/tex]

y = [tex]\frac{a}{3}x+4[/tex] ---------(1)

If the slope of this equation is changed to [tex]\frac{2}{3}[/tex],

New equation of the function will be,

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

Comparing equations (1) and (2),

a = 2

Therefore, graph of the new function will be stretched vertically by 2 units.

Answer:

Jake payed 2 dollars for each ticket

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

Let the lengths of a triangle be 6x , 7x and 10x.

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

[tex] \underline{ \boxed{ \text{Sum \: of \: all \: sides \: of \: triangle = Perimeter \: of \: a \: triangle}}}[/tex]

⟹ [tex] \sf{6x + 7x + 10 = 92}[/tex]

Solve for x

⟹ [tex] \sf{23x = 92}[/tex]

⟹ [tex] \sf{ \frac{23x}{23} = \frac{92}{23}} [/tex]

⟹ [tex] \sf{x = 4}[/tex] cm

Now , Replacing the value of x :

⟼ [tex] \sf{6x = 6 \times4 = 24}[/tex] cm

⟼ [tex] \sf{7x = 7 \times 4 = 28}[/tex] cm

⟼ [tex] \sf{10x = 10 \times 4 = 40}[/tex] cm

Hence , the sides of the triangle are 24 cm , 28 cm and 40 cm.

Hope I helped ! ♡

Have a wonderful day / night ツ

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Answer:A,C,E

Step-by-step explanation:I took the quiz

Answer:

its right ACE

Step-by-step explanation:

Answer:

Height = 5 ft

Base = 11 ft

Step-by-step explanation:

The area of a parallelogram is

Base × Height

From the question:

The base of a parallelogram is 6 ft more than the height.

Base = 6ft + h

If the area of the parallelogram is 55 ft^2​,

what are the measures of the base and the​ height?

This is calculated as:

55 ft² =( 6 + h ) × h

55 = 6h + h²

h² + 6h - 55 = 0

h² +5h - 11h - 55 = 0

h(h + 5) - 11(h + 5) = 0

(h + 5)(h - 11) = 0

h - 11 = 0

height = 5ft

Base = 6 + h = 6 + 5

Base = 11ft

Answer:

3(2+5)−5(3)+8=14

Step-by-step explanation:

Write the problem as a mathematical expression.

=>3(2+5)−5⋅3+8

Simplify each term.

=>21−15+8 = 14

Answer:

13 Weeks

Step-by-step explanation:

Yoko currently has $60 so if she gains $5 each week simply 5x13=65

$60+$65=$125

Answer:

14: 700

Step-by-step explanation:

First you must ad or multiply each part of your ratio multiple times.

This was the next number in the ratio outlook.

I multiplied 7x2

Then 350x2

which got me the ratio 14:700