What is the solution to this equation
-4x + 2 = 26

Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:

To find the number of yellow jellybeans:

= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total

= 6 / (6 + 5 + 4) x 60

= 24 yellow jellybeans

Orange jellybeans:

= 5 / 15 x 60

= 20 orange jellybeans

Red jellybeans:

= 4 / 15 x 60

= 16 red jellybeans

In conclusion, there are several colors of jellybeans.

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Answer:

matter cannot be created or destroyed

Step-by-step explanation:

just read about this in my engineering homework

[tex]3x+5y=50[/tex] is the equation of the line through point (10,4) and parallel to 3x+5y=8.

We can write the equation of a line parallel to a given line if we know a point on the line and an equation of the given line. y=2x+3 . Parallel lines have the same slope. The slope of the line with equation y=2x+3 is 2 .

Given

Equation of the line is 3x + 5y = 8.

Point = (10, 4)

First we find the slope of the line  3x + 5y = 8 by replacing it into slope intercept form:

[tex]3x + 5y = 8[/tex]

⇒ [tex]5y = -3x + 8[/tex]

⇒ [tex]y = \frac{-3}{5} x + \frac{8}{5}[/tex]

Therefore, the slope of the line is m = [tex]\frac{-3}{5}[/tex].

Now since the equation of the line with slope m passing through a point [tex](y-y_{1} )=m(x-x_{1})[/tex]

⇒ [tex]y - 4=\frac{-3}{5} (x-10)[/tex]

⇒ [tex]5(y-4)=-3(x-10)[/tex]

⇒ [tex]5y-20=-3x+30[/tex]

⇒ [tex]3x+5y=30+20[/tex]

⇒ [tex]3x+5y=50[/tex]

Hence, [tex]3x+5y=50[/tex] is the equation of the line through point (10,4) and parallel to 3x+5y=8.

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Answer:

1/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

an hour, or 60 minutes

Answer:

60 minutes

Step-by-step explanation:

i d 1 0 t

Answer:

x-5=sqrt(2x+5)

then square both sides

x2-10x+25=2x+5

x2-8x+20=0

rest is trivial

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Given

x - [tex]\sqrt{2x+5}[/tex] = 5 ( subtract x from both sides )

- [tex]\sqrt{2x+5}[/tex] = 5 - x ( divide all terms by - 1 )

[tex]\sqrt{2x+5}[/tex] = x - 5 ( square both sides )

2x + 5 = (x - 5)²

2x + 5 = x² - 10x + 25 ( subtract 2x + 5 from both sides )

0 = x² - 12x + 20 ← in standard form

0 = (x - 2)(x - 10) ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 10 = 0 ⇒ x = 10

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions

x = 2

2 - [tex]\sqrt{4+5}[/tex] = 2 - [tex]\sqrt{9}[/tex] = 2 - 3 = - 1 ≠ 5

Thus x = 2 is an extraneous solution

x = 10

10 - [tex]\sqrt{20+5}[/tex] = 10 - [tex]\sqrt{25}[/tex] = 10 - 5 = 5 = right side

Thus x = 10 is the solution

Answer:

50 mongoes

Step-by-step explanation:

42 x 12= 504 mangoes

504 - 4 = 500 mongoes

500/10= 50 mongoes

Answer:

b

Step-by-step explanation:

Answer:

5.20

Step-by-step explanation:

I took a test and that was the answer

Answer: you can use the table of values. And just plug these in

Step-by-step explanation:

x values: -2, -1, 0, 1, 2

Y values: 1,3,5,7,9

You're welcome! :)

Sorry I couldn't insert a picture.

Answer:

Once again, both are infinite. It is a function.

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

In this case, all of the sides are equal. All sides should add up to 180 degrees.

x+x+x=180

180/3= 60

Answer:

The formula for the circumference of a circle is C = 2πr, where r is the radius and C is the circumference. The equation solved for r is r =c/2π .

Step-by-step explanation: hope this helped!

Answer:

The radius of the circle with circumference 22cm is 3.5 cm

Step-by-step explanation:

The circumference of circumference of a circle is the distance of its closed boundary.

The circumference of a circle with radius r is given by the formula:

[tex]C = 2\pi r[/tex]

Given

C = 22cm

Putting the values in the formula

[tex]22 = 2 * \frac{22}{7} * r\\22 = \frac{44}{7} * r\\r = \frac{7}{44} * 22\\r = \frac{7}{2}\\r = 3.5cm[/tex]

Hence,

The radius of the circle with circumference 22cm is 3.5 cm

Answer:

-100

Step-by-step explanation:

Answers:

B) There are 3 terms in the simplified product.

E) The final simplified product is –3y2 + 37y – 84.

The true statements are:

B. The simplified product has three terms

E. –3y2 + 37y – 84 is the final simplified product.

Given the polynomial expression, –3(y – 5)² – 9 + 7y, to simplify, do the following:

–3(y – 5)(y – 5) – 9 + 7y

-3y² + 30y - 75 - 9 + 7y

Combine like terms

-3y² + 37y - 84 (three terms)

Therefore, the statements that are true are:

B. The simplified product has three terms

E. –3y2 + 37y – 84 is the final simplified product

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Answer:

B on edge

Step-by-step explanation:

Got its right on the test

(B) [tex]-1,331m^{18} nx^{15} px^{21}[/tex]

Therefore, the correct option is (B) [tex]-1,331m^{18} nx^{15} px^{21}[/tex].

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Answer:

water : sucrose : saline = 1000 : 199 : 271

Step-by-step explanation:

Given Information:

Process:

Answer:

J,F,K

Step-by-step explanation:

J,F,K

A sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.

A rectangle is a quadrilateral with four right angles and four sides of equal length. It is one of the most common shapes in nature and is found in everything from architecture to floor patterns.

Now, In order to transform rectangle JKLM into J'K'L'M', a series of transformations must be applied.

The first transformation is a translation of the rectangle along the x-axis by 3 units and along the y-axis by -4 units.

This will move the original rectangle from its original position, JKLM, to the new position, J'K'L'M'.

Next, a reflection about the y-axis needs to be applied, which will flip the rectangle around the y-axis.

This will result in the length of side K'L' being 6 units.

Finally, a rotation about the origin needs to be applied. The rotation should be 90 degrees counterclockwise in order for the coordinates of vertex K' to be (-3,2) and the coordinates of vertex M' to be (3,-2).

Therefore, a sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.

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Answer:

518

Step-by-step explanation:

P = 2

Q = 8

p3 + 64q

Multiply "p" (which is 2) with 3

Multiply "q" (which is 8) with 8

Add the two numbers you get

And you have you answer

I hope this helps. :)

Answer:

slope = 3/2

y intercept = 2

y = 3/2x + 2

Step-by-step explanation:

to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)

(11-5) ÷ (6-2) =

6 ÷ 4 = 3/2

slope = 3/2

to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y

for the example im going to use the point (2,5)

5 = 3/2 (2) + b

5 = 3 + b

subtract three from both sides to find b (y-intercept)

b = 2

Answer:

i think x=31.5

Step-by-step explanation:

the answer is x = 31.5

Answer:

This is how the graph would look like

Step-by-step explanation:

The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] is attached below.

The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] can be created by plotting a few coordinates that lie on the function.

When x = 0, y = -6

Coordinate = (0, -6)

When y = 0,   [tex]0.5x^{2} + 2x - 6 = 0[/tex]

[tex]x^{2} + 4x - 12 = 0\\\\x^{2} + 6x - 2x - 12 = 0\\\\x(x+6) - 2(x+6) = 0\\\\(x-2)(x+6) = 0\\\\x = 2, -6\\[/tex]

Coordinates = (2,0), (-6,0)

Abscissa of vertex of graph = -b/2a = -2

Ordinate of vertex of graph = 0.5 *4 -4 - 6 = -8

coordinate = (-2, -8)

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Answer:

Linear functions apply to real world problems that involve a constant rate. Learning Objectives. Apply linear equations to solve problems about rates of change ... For example, the rate at which distance changes over time is called velocity.

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

The new temperature is 13 degrees Fahrenheit

Step-by-step explanation:

Answer:

n = -2

Step-by-step explanation:

-38 = -2n -12 +18n +6

-38 =16n -6

-38 +6 =16n

-32= 16n

n=-2