A trail mix contains raisin, peanut, and chocolate.
The ratio of raisin to peanut is 2:3 and the ratio
of peanut to chocolate is 5:8. What is the ratio
of raisin to chocolate?

Answer:

a = - 2, b = 5

Step-by-step explanation:

expand the right side using FOIL and compare the coefficients of like terms on both sides.

(x + a)² + b

= x² + 2ax + a² + b

compare terms with x² - 4x + 9

coefficients of x- term

- 2a = 4 ( divide both sides by - 2 )

a = - 2

compare constant terms

a² + b = 9

(- 2)² + b = 9

4 + b = 9 ( subtract 4 from both sides )

b = 5

Let's consider what the problem wants us to find:

Let's find the fractional part:

  ⇒ the fractional part is equal:

       [tex]\frac{degree-covered-by-angle}{total-angle} =\frac{100}{180} =\frac{2*2*5*5}{2*2*3*3*5} =\frac{5}{3*3} =\frac{5}{9}[/tex]      

 Answer: The angle 100 degrees covers 5/9 of a semicircle.

Let's find the angle measure in radians:

⇒ we know that [tex]2\pi[/tex] radians are equal to 360 degrees

   ⇒ to convert any degree to radians, you must multiply [tex]\frac{\pi }{180}[/tex]

       so [tex]100*\frac{\pi }{180} =\frac{100\pi }{180} =\frac{10}{18} \pi =\frac{5}{9} \pi[/tex]

Answer: The angle 100 degrees in radians is [tex]\frac{5}{9} \pi[/tex]  which in terms of [tex]\pi[/tex] is

5/9

Hope that helps!

Answer:

2x²+x+1

Step-by-step explanation:

you are adding the functions  together so it is collecting like terms

        6x+1

+ 2x²-5x      

 2x²+x+1

Answer:

77 - 8pi cm

Step-by-step explanation:

Area of Circle = 2pi*r^2 = 8pi cm

Area of rectangle = 7 X 11 = 77cm

Area of shaded region = 77cm - 8pi cm

Answer:

89.6^2 - hope this helped :)

Step-by-step explanation:

area of rectangle = 7 x 11 = 77 cm^2

area of circle = 2 x 2 x 3.14 = 12.56^ 2

all together = 89.56

rounded up = 89.6 cm^2

Answer:

9.6 (D)

Step-by-step explanation:

You know that when they are similar, they have a ratio. Assume that WT is x. 6:10 is the ratio, or 3:5.

So, what number is x when x:16=3:5?

(two ways)

1. You can cross multiply

x/16 = 3:5, 3x16=5x

48=5x

x=9.6

2. You can do it by looking at the answer choices and simplifying them.

10:16=5:8

NO

3.8:16=1.9:8

NO

12:16=3:4

NO

9.6:16=4.8:8=

2.4:4

0.6:1

6:10

YES

Answer:

x = 4; y = 8

Step-by-step explanation:

y=2x

y=x+4

2x = x + 4

x = 4

y = 2x = 2(4)

y = 8

Solution: x = 4; y = 8

Answer:

x = -1

Step-by-step explanation:

You have:

[tex]\frac{3}{2x-1} =\frac{1}{x}[/tex]

Multiply both sides by 'x' to get:

[tex]\frac{3x}{2x-1} =1[/tex]

Multiply both sides by (2x-1) to get:

[tex]3x=2x-1[/tex]

Subtract 2x on both sides to get:

[tex]x=-1[/tex]

↪18cm

5^2 + 17^2 = a^2

25 + 289 = a^2

314 = a

√(314) = a

17 . 72 = a

The measure of hypotenuse is 17.72cm

it is equal to 18cm

☆...hope this helps...☆

_♡_mashi_♡_

Step-by-step explanation:

I think it will help you.

The image above will help you

A rectangle is a 2-dimensional shape with equal opposite sides. The appropriate side length for the unit square to tile Saritza’s rectangle to find the area will be 1/9 yard

A rectangle is a 2-dimensional shape with equal opposite sides.

Area of a rectangle = Length * width

Given the following parameters:

length = 5/6  yard

width = 2/3

Find the area

Area = 5/6 * 2/3
Area = 5/9 square units

The appropriate side length for the unit square to tile Saritza’s rectangle to find the area will be 1/9 yard

Learn more on area of rectangle here: https://brainly.com/question/2607596

Answer:

B is 6

Step-by-step explanation:

When y is zero the x on the other side will represent B, because that would be the Y-intercept

Answer:

6/1>11/2

Step-by-step explanation:

11/2=5.5

6/1=6

Step-by-step explanation:

= ( 3x + 5 ) ( 4x² + 8x + 40 )

= 3x ( 4x² + 8x + 40 ) + 5 ( 4x² + 8x + 40 )

= 12x³ + 24x²+ 120x + 20x² + 40x + 200

= 12x³ + 24x² + 20x² + 120x + 40x + 200

= 12x³ + 44x² + 160x + 200

Answer:

12x^3 +44x^2 +160x +200

Step-by-step explanation:

Distribute:

(3x+5)(4x^2 +8x+40)

3x(4x^2 +8x+40) +5(4x^2 +8x+40)

Then it would be:

(12x^3 +24x^2 +120x) + (20x^2 + 40x +200)

therefore the soloution is:

12x^3 +44x^2 +160x +200

Answer:

17.9 m^3

Step-by-step explanation:

Answer:

4.61

Step-by-step explanation:

I saw another question that had 3 and 3 and that question's answer was 4.24, so i multiplied the 0.5 and got 4.61

Answer:

7620

Step-by-step explanation:

A = P(1 + rt)

A = 6000(1 + (0.045 × 6)) = 7620

calculatorsoup

9z

hope it reall helps...!!!

Answer: C

Step-by-step explanation:

Answer:

−5

Step-by-step explanation:

−5x+6

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax

n

 is nax

n−1

.

−5x

1−1

Subtract 1 from 1.

−5x

0

For any term t except 0, t

0

=1.

−5

Evaluate

6−5x

Answer:

A is the answer hope this helps

Answer:

I think this is the right answer.

Step-by-step explanation:

Ship A is 2.653 miles from the island and ship B is 2.981 miles away from the island.

Answer:

None

Step-by-step explanation:

If first one was shifted letward so the vortex was at (0.80), that would be the correct option, but not how it is not.

Answer:

C.

Explanation:

If we had the final value of C, we would be able to determine whether or not the ABCD is parallelogram. Hope this helps you out!!

Answer:

it must not be a parallelogram because it's angle is not supplementary

Answer:

22.9

Step-by-step explanation:

( just look up "diameter of a sphere caculator")

Answer:

Step-by-step explanation: I failed to get this right for yall XD

The equation of line is y = ( 1/2 ) mv² , where m is the mass of the student and y is the kinetic energy

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let y represent the kinetic energy and mass is m

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

The equation for kinetic energy is K = ( 1/2 )mv²

The constant speed v = 3 m/s

So , the linear equation is

y = { 121.5 , 162 , 202.5 , 243 , 288 , 328.5 }

x = { 27 , 36 , 45 , 54 , 64 , 73 }

The slope m = y / x

On simplifying , we get

m = 121.5 / 27 = 4.5

And , the equation of line is

y - 121.5 = 4.5 ( x - 27 )

Adding 121.5 on both sides , we get

y = 4.5x

Now , plotting the points on the graph , we get a straight line

Hence , the equation of line is solved and the graph is plotted

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ3

Answer:

1. x² - 16x = -12

2. x² - 16x + 64 = -12 + 64

3. (x - 8)² = 52

4. x - 8 = ± √52

5. x = 8 ± √52

6. x = 8 ± 2√13

Step-by-step explanation:

1. Move the constant to the other side of the equation:

x² - 16x +12-12 = 0-12

x² - 16x = -12

2. Find the new value of c by using the formula [tex](\frac{b}{2} )^{2}[/tex]

[tex](\frac{-16}{2} )^{2}\\\\(-8)^{2} \\\\c =64[/tex]

3. Plug the new value of c into the equation. Make sure to add it to both sides of the equation, because if you do something to one side, you must do it to the other:

x² - 16x + 64 = -12 + 64

x² - 16x + 64 = 52

4. Form a perfect sqaure by factoring -16 and 64 by figuring out two numbers that have a sum of -16 and a product of 64:

-8 + (-8) = -16
-8 · (-8) = 64

(x - 8)²

Plugging this into the equation:

(x - 8)² = 52

5. Take the square root of both sides:

√(x - 8)² = √52

x - 8 = √52

6. Isolate x:

x - 8+8 = 2√52+8

x = 8 ± 2√52

52 can be squared, so:

x = 8 ± 2√13

hope this helps!

Answer:

525 sit-ups

Step-by-step explanatiSince there are 7 days in a week, and there are 3 weeks, you can multiply 7 * 3 = 21 to find out how many days Joe is doing situps. Next, you need to multiply the number of situps per day by the number of days: 25 * 21 = 525. Joe will do 525 situps in 3 weeks.

Hope this helps! :)