Simplify 20 + (2 + r).

Answers

Answer 1

Answer: the answer is 22+r
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An arc on a circle measures 85°. The measure of the central angle, in radians, is within which range?

Answers

0 to π/2 radians i might be wrong but i tried helping

Answer:

The first option 0 to π/2 radians

Step-by-step explanation:

Write the equation of the line that has the indicated slope and y-intercept.Slope = 5; y-intercept = 9

Answers

Answer:

slope intercept form: y=5x+9

standard form: x-5/y =-9/5

Step-by-step explanation:

slope intercept form: y=mx+b, m=slope, b=y-intercept

m= 5, b=9 therefore,

y=5x+9

Henry is making a corn grits recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water. How much water will he need if he uses 1 1/2 cups of corn grits? Enter the number in the box.

Answers

The quantity of water that would be needed if he uses $1(1)/(2)$ cup of corn grits is 3 cups of water.

Given the following data:

Quantity of corn A = $(1)/(4)$ cup of corn

Quantity of water A= $(1)/(2)$ cup of water

Quantity of corn B = $1(1)/(2)$ cup of corn

To determine the quantity of water that would be needed if he uses $1(1)/(2)$ cup of corn grits, we would apply direct proportion:

By direct proportion:

$(1)/(4)$ cup of corn = $(1)/(2)$ cup of water

$1(1)/(2)$ cup of corn = X cup of water

Note: $1(1)/(2)=(3)/(2)$

Cross-multiplying, we have:

$X * (1)/(4) = (1)/(2) * (3)/(2) \n\n(X)/(4) = (3)/(4) \n\n4X = 12\n\nX=(12)/(4)$

X = 3 cups of water

Answer: 3 cups of water will be needed .

Step-by-step explanation:

Since we have given that

$(1)/(4)\text{ cups of corn grits for every }(1)/(2)\text{ cups of water}$

so,

$\text{ For every }(1)/(4)\text{ cups of corn grits, cup of water is needed }=(1)/(2)$

$\text{ For every }1\text{ cup of corn grits, cup of water is needed }=((1)/(2))/((1)/(4))=2$

$\text{ For every }1(1)/(2)=(3)/(2)\text{ cups of corn grits, cup of water is needed }=(3)/(2)* 2=3$

Hence, 3 cups of water will be needed .

Solve each quadratic equation by factoring and using the zero product property.10x + 6 = -2x^2 -2

Answers

Answer:

x = -4 x=-1

Step-by-step explanation:

10x + 6 = -2x^2 -2

Add 2x^2 to each side

+2x^2 +10x + 6 =2x^2 -2x^2 -2

2x^2 +10x + 6 = -2

Add 2 to each side

2x^2 +10x + 6+2 = -2+2

2x^2 +10x + 8 = 0

Divide each side by 2

2/2x^2 +10/2x + 8/2 = 0/2

x^2 +5x+4 = 0

What 2 numbers multiply to 4 and add to 5

4*1 = 4

4+1 =5

(x+4) (x+1) = 0

Using the zero product property

x+4 = 0 x+1 =0

x+4-4 = 0-4 x+1-1 =0-1

x = -4 x=-1

Answer:

x = -4 or x = -1

Step-by-step explanation:

Given equation is :

10x+6 = -2x²-2

Adding 2x² and 2 to both sides of above equation , we get

2x²+2 +10x+6 = -2x²-2 +2x²+2

Adding like terms , we get

2x²+10x+8 = 0

As we have noticed that there are multiples of 2.

Taking 2 as common,we get

2(x²+5x+4) = 0

Multiplying by 1/2 to both sides of above equation , we get

1/2.2(x²+5x+4) = 1/2.0

x²+5x+4 = 0

Split the middle term of above equation so that the sum of two term should be 5 and their product be 4.

x²+4x+x+4 = 0

Making two groups ,we get

x(x+4)+1(x+4)

Taking (x+4) common,we get

(x+4)(x+1) = 0

Applying Zero-Product Property to above equation, we get

x+4 = 0 or x+1 = 0

Firstly, solve x+4 = 0

Adding -4 to both sides of above equation,we get

x+4-4 = 0-4

x +0 = -4

x = -4

Secondly, solve x+1 = 0

Adding -1 to both sides of above equation,we get

x+1-1 = 0-1

x = -1

Hence, the solution of 10x+6 = -2x²-2 is {-4,-1}.

Write 2 eggs is to 3 cups of flour as 12 eggs is to 18 cups of flour as a proportion.A. 2 eggs / 3 cups of flour = 12 eggs / 18 cups of flour.
B. 3 eggs / 2 cups of flour = 12 eggs / 18 cups of flour.
C. 2 eggs / 3 cups of flour = 18 cups of flour / 12 eggs.
D. 3 eggs / 12 cups of flour = 32 eggs / 18 cups of flour.

Answers

The answer is A. 2 eggs / 3 cups of flour = 12 eggs / 18 cups of flour because 2 x 18 = 3 x 12 = 36.

How can you use properties to solve equations with variables on both sides

Answers

Method #1: Get all the variables on the right-hand side.

Method #2: Get all the variables on the left-hand side.

Don't forget to check.

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