What property justifies the work between Step 3 and Step 4?
A) Inverse property of addition
B) Identity property of addition
C) Addition property of inequality
D) Commutative property of addition

I’m awful at properties, please help asap ((:

If you divide 22 by 11 you get two.

Your answer is 2.

Since 1 book cost $11, you divide $22 by 11 which would give you 2. So they can only purchase 2 books.

Answer:

i think its c

Step-by-step explanation:

cus u can multiply 3x or 3

Answer: 68.34.56

Step-by-step explanation:

Answer: Infinitely many solutions

Step-by-step explanation:

Answer:

377 inches

Step-by-step explanation

C=pie x d

d= 2 x r

r= 60

d=120

pie x 120 = 376.99...

or 377

Answer:

The circumference of circle is 376.8 inches

Step-by-step explanation:

Formula:-

Circumference of circle = 2πr

Where r is the radius of circle

To find the circumference of circle

Here r = 60 inches

Circumference = 2πr

 = 2 * 3.14 * 60

 = 376.8 inches

Therefore the correct answer is  circumference of circle with radius 60 inches  is 376.8 inches

Step-by-step explanation:

[tex]10x^2-5x+11=9x^2+x+83\qquad\text{subtract}\ 9x^2\ \text{and}\ x\ \text{and}\ 83\\\\(10x^2-9x^2)+(-5x-x)+(11-83)=0\\\\x^2-6x-72=0\\\\x^2+6x-12x-72=0\\\\x(x+6)-12(x+6)=0\\\\(x+6)(x-12)=0[/tex]

[tex]\text{The zeros:}\\\\x+6=0\qquad\text{subtract 6 from both sides}\\\boxed{x=6}\\\\x-12=0\qquad\text{add 12 to both sides}\\\boxed{x=12}[/tex]

Answer:

The answer is C

Step-by-step explanation:

the person that made the graph is correct so it would be C

The answer is B. Since there are no parenthesis around pi/2, it stating that the graph shifts up pi/2 units - which is incorrect. It is a phase shift of pi/2 units (not a vertical shift).

Answer:  [tex]\bold{B)\quad y=2\ sin2x+\dfrac{\pi}{2}}[/tex]

Step-by-step explanation:

[tex]\text{The standard form of a sine equation is: y=A sin(Bx - C) + D}\\\\\bullet\text{A = amplitude}\\\\\bullet\text{Period = }\dfrac{2\pi}{B}\\\\\bullet\text{Phase Shift = }\dfrac{C}{B}\\\\\bullet\text{D = vertical shift (up if positive, down if negative)}[/tex]

In the given graph,

Option B shows the value of D as [tex]\dfrac{\pi}{2}[/tex], which is incorrect since there is no vertical shift up. If the parenthesis included that value, like Option C, then it would have been correct.

Answer:

x = 8

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the opposite interior angles

so

9x +  12 = 22 + 7x + 6

9x +12 = 7x + 28

2x = 16

 x = 8

The value of x is 8 in the figure

Interior angles are inside a polygon, summing to 180°. Exterior angles are outside, forming a linear pair with interior angles.

Actually, in a triangle, the sum of two interior angles is always equal to the exterior angle that is not adjacent to them. This is known as the Exterior Angle Theorem.

From the figure

<F + <G = <GHV( sum of two interior angles is equal to exterior angle)

7x +6 + 22 = 9x + 12

7x - 9x = 12- 22 -6

-2x = -16

x = -16/-2

= 8

The value of x is 8 in the figure

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Answer:

I would go with a container of milk costs at least $1.25 but less than $1.50.

Answer: Fourth option is correct.

Step-by-step explanation:

Since we have given that

[tex]1.25<x<1.5[/tex]

The point value of a test item is strictly more than 1.25 points and strictly less than 1.5 points.

According to options:

It can be represented as :

The point value of a test item is more than 1.25 points and less than 1.5 points.

All other options except the above is not satisfying the above inequality.

Hence, Fourth option is correct.

Answer:

(1,1), (2,-1), (-2,1), (-1,-1)

Step-by-step explanation:

Answer:

h = 10sin(π15t)+35

Step-by-step explanation:

The height of the blade as a function f time can be written in the following way:

h = Asin(xt) + B, where:

B represets the initial height of the blade above the ground.

A represents the amplitud of length of the blade.

x represents the period.

The initial height is 35 ft, therefore, B = 35ft.

The amplotud of lenth of the blade is 10ft, therefore A = 10.

The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π

Finally the equation that can be used to model h is:

h = 10sin(π15t)+35

Answer- C.) h = 10sin(π/15t)+35

Step-by-step explanation-

The equation should be equal expressed as C.) h = 10sin(π15t)+35 where 35 represents the initial height of the blade above the ground. The 15π represents the period. It is said that the blades complete two rotations every minute. Hence the period should be 60/4 equal to 15. 10 represents the amplitude of length of the blades.

f(g(x))  (you plug/substitute g(x) into x)

f(x) = 4x - √x

f(g(x)) = 4(g(x)) - √(g(x))      since g(x) = (x - 5)², you can do:

f(g(x)) = 4(x - 5)² - √(x - 5)²     The ² and √ cancel each other, leaving

f(g(x)) = 4(x - 5)² - (x - 5)      Next factor out (x - 5)² or (x - 5)(x - 5)

f(g(x)) = 4(x² - 10x + 25) - (x - 5)  Now distribute the 4 and the -

f(g(x)) = 4x² - 40x + 100 - x + 5   Simplify

f(g(x)) = 4x² - 41x + 105         Your answer is B

ANSWER

[tex]f(g(x)) =4{x}^{2} - 41x + 105 [/tex]

EXPLANATION

The given functions are:

[tex]f(x) = 4x - \sqrt{x} [/tex]

and

[tex]g(x) = {(x - 5)}^{2} [/tex]

To find

[tex]f(g(x)) = f( {(x - 5)}^{2} )[/tex]

[tex]f(g(x)) =4 {(x - 5)}^{2} - \sqrt{{(x - 5)}^{2} } [/tex]

We expand and simplify to obtain,

[tex]f(g(x)) =4 {( {x}^{2} - 10x + 25)} - (x - 5)[/tex]

[tex]f(g(x)) =4{x}^{2} - 40x + 100 - x + 5[/tex]

Combine similar terms to get;

[tex]f(g(x)) =4{x}^{2} - 41x + 105 [/tex]

The correct choice is B.

Answer:

[tex]\boxed{2211}[/tex]

Data:

Population in 2014 = 7895

            % increase = 28 %

Calculations:

              28 %  =  (Increase/Original number) × 100 %

                  28  =  (Increase/7895) × 100

28/100 × 7895 = Increase     Multiplied each side by 7895/100

         Increase = 2211

[tex]\boxed{ 2211}[/tex] students were recorded in the MVCSD in 2018.

Answer:

How many pencils are in each person's desk?

The equation 9x-8=34x-12 is a linear equation which is solved by moving variables and numerals at the opposite sides of the equation. This simplifies to -25x = 4 and by dividing both sides by -25, the answer x=-0.16 is obtained.

The subject of your question is a linear equation, more specifically, the solution to the equation 9x-8=34x-12. To find the solution, firstly bring variables to one side and numerals to the other side of the equation. So, it becomes 9x - 34x = 12 - 8, which simplifies to -25x = 4.

Then, solve for 'x' by dividing both sides by -25. This yields x = -4/25 or x = -0.16. So, x=-0.16 is the solution to the original equation 9x-8=34x-12.

Such questions involve understanding the principles of algebraic manipulation and the resolution of linear equations, which are fundamental concepts in mathematics.

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Answer:

x=−2.1875y+ −3/ 8

Step-by-step explanation:

Y = 6

X = -.75 or - 3/4

Solve the bottom equation first, since it only has 1 variable. -8.5y / -8.5 = -51/-8.5. Y= 6. Then plug that value for Y into the top equation and solve for X.

Answer:

d(A,B)=square root of 34 ≈ 5.831

Answer:

[tex]\sqrt{34}[/tex]

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (2, 7)

d = [tex]\sqrt{(2+1)^2+(7-2)^2}[/tex]

  = [tex]\sqrt{3^2+5^2}[/tex]

  = [tex]\sqrt{9+25}[/tex] = [tex]\sqrt{34}[/tex] ← exact distance

Answer:

There are a lot of combinations possible

Step-by-step explanation:

One of them would be that each roll of quarters is $10 and each roll of pennies is 50cents so she could have 12 rolls of quarters and 2 rolls of pennies

One of the possible combinations that Greta can have is 12 rolls of quarters and 2 rolls of pennies.

No. of quarters required to make $1 = 4 quarters

No. of coins in 1 roll of quarter = 40 coins = $10

If one roll of quarter is $10, then we can have 12 rolls which will give us $120.

Now we reached $120, we need $1 more to reach $121

No. of pennies to make $1 = 100 pennies

No. of coins in 1 roll of pennies = 50

So we need 2 rolls of pennies to make $1.

Hence, we need 12 rolls of quarters and 2 rolls of pennies to make $121.

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Answer:

197

Step-by-step explanation:

Add the number of voters of each precinct and divide by the number of precincts.

(168 + 240 + 195 + 180 + 312 + 87)/6 =

= 1182/6

= 197

(168+240+195+180+312+87)/6 =197

Answer:

90 minutes

Step-by-step explanation:

If Jim takes 30 minutes to write 10 sentences, we can write a proportion.

[tex]\frac{30}{10}=\frac{x}{30}[/tex]

Cross multiply so we get [tex]10x=900[/tex].

And simplify.

[tex]x=90[/tex]

If you left 3 blank and there's 4 options then a pretty big chance that you get it wrong....

Answer:

3a. horizontal shift to the left 4 units, reflection on the x-axis

3b. vertical shift down 5 units

4. 4[tex]\sqrt{3}[/tex]

5. 3x²y²[tex]\sqrt{2x}[/tex]

6. [tex]\frac{4\sqrt{35} }{5}[/tex]

7. [tex]\frac{45-5\sqrt{7} }{74}[/tex]

8. 3√2

9. -2√7 + 5√13

10. 7√2 + 2√14

11. 10 + √15 + 2√35 + √21

12. P = 18√6 + 6√15

Step-by-step explanation:

this is gonna be a bit long but bare with me

3a. y = [tex]-\sqrt{x+4}[/tex] < -- this is a horizontal shift to the left 4 units and a reflection on the x-axis. a horizontal shift is located next to the parent function (in this case f(x) = √x). a reflection on the x-axis is located outside of the parent function.

3b. y = [tex]\sqrt{x}[/tex] - 5 < --- this is a vertical shift down 5 units. a vertical shift is located outside of the parent function

4. [tex]\sqrt{48}[/tex] to solve a radicand, we can break it up into known factors, such as numbers that are a perfect square that are factors of the number. you can create a factor tree for this, or you can do it mentally by thinking of terms.

48 can be divided by divided by 16 and 3

16 is a perfect square of 4, which goes outside of the radicand

the answer to [tex]\sqrt{48}[/tex] is 4[tex]\sqrt{3}[/tex]

5. again, to solve [tex]\sqrt{18x^5y^4}[/tex], we break it down into known factors.

lets start with 18: it can be broken down into 9 and 2, 9 is a perfect square of 3

so far the radicand looks like this: 3[tex]\sqrt{2x^5y^4}[/tex]

next we will break down [tex]x^5[/tex]. looking at the exponent, we can see that we have a perfect square in the exponent, which is 4. the square root of 4 is 2. we would leave the leftover x in the radical as it is not a perfect square, and put x² on the outside as it is a result of the perfect square

3x²[tex]\sqrt{2xy^4}[/tex]

finally lets look at [tex]y^4[/tex]. we see that the exponent is a perfect square, 4. the square root of 4 is 2, so y² would go on the outside, and no y terms would be left on the inside. the final radical looks like this:

3x²y²[tex]\sqrt{2x}[/tex]

6. [tex]\frac{4\sqrt{7} }{\sqrt{5} }[/tex]

to solve this, we would need to rationalize the denominator by getting rid of the radical in the denominator. to do this we would multiply the expression by [tex]\sqrt{5}[/tex] and we would get:

[tex]\frac{4\sqrt{35} }{5}[/tex]

we cannot simplify this any further, so this would be our answer

7.  [tex]\frac{5}{9 + \sqrt{7} }[/tex] like the last question, we need to get rid of the square root in the denominator by multiplying the entire expression by [tex]9 - \sqrt{7}[/tex]. we get:

[tex]\frac{5(9-\sqrt{7}) }{(9+\sqrt{7})(9-\sqrt{7})  }[/tex]

the denominator can be multiplied together to get 81 - 7 = 74, and in the numerator we get 5(9-√7) which can be distributed as 45 - 5√7. in total we get:

[tex]\frac{45-5\sqrt{7} }{74}[/tex] this cannot be simplified any further, so this is the answer

8. 3√50 - 3√32 to solve, we need to get the same radical. to do this, we can break each radical up into known terms. √50 can be simplified as 25 and 2. 25 is a perfect square, and is equal to 5. √50 = 5√2

3(5√2) = 15√2

we can break up √32 as 16 and 2. 16 is a perfect square which is equal to 4. √32 = 4√2

-3(4√2) = -12√2

the expression looks like this: 15√2 - 12√2 < subtract normally and we get 3√2 <-- this is our final answer, and we cannot simplify further

9. 2√7 - 4√13 -4√7 + 9√13 < we can combine like terms by adding/subtracting

2√7 -4√7 = -2√7

-4√13 + 9√13 = 5√13

-2√7 + 5√13 this cannot be simplified further, so this is the answer

10. √7(√14 + 2√2) < distribute √7 into the expression

√7 × √14 = √98 = 7√2

√7 × 2√2 = 2√14

the answer is 7√2 + 2√14

11. (√5 + √7)(√20 + √3) < to solve, we can FOIL this out

(√5 + √7)(√20 + √3) = 10

(√5 + √7)(√20 + √3) = √15

(√5 + √7)(√20 + √3) = 2√35

(√5 + √7)(√20 + √3) = √21

we get the following expression: 10 + √15 + 2√35 + √21, we cannot simplify this further so this is our answer

12. the perimeter of a rectangle is P = 2l + 2w. we are given the width 3√6 + 4√15 and the length 6√6 - √15. plugged into the formula we have:

2(3√6 + 4√15) + 2(6√6 - √15) < distribute 2 into each expression:

(6√6 + 8√15) + (12√6 - 2√15) < combine like terms, as in combine terms with like radicals

6√6 + 12√6 = 18√6

8√15 - 2√15 = 6√15

P = 18√6 + 6√15

we cannot simplify this further, so this is the answer

hope this helped!

Answer:

Step-by-step explanation:

a/b=4/5    b/c=2/9

Ration of a to c is

a/c=4/9

Answer:

[tex]\frac{8}{45}[/tex]

Step-by-step explanation:

[tex]\frac{a}{c}[/tex] = [tex]\frac{a}{b}[/tex] × [tex]\frac{b}{c}[/tex]

                               = [tex]\frac{4}{5}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{8}{45}[/tex]

Answer: 175

Step-by-step explanation: I hope this helps!!

Answer:

D

Step-by-step explanation:

ACD is a straight angle, thus

∠ACB + ∠BCD = 180. thus

∠ACB  131 = 180 ( subtract 131 from both sides )

∠ACB = 49° → D

Answer: B. 16

Step-by-step explanation:

y = 7(3) - 5

y = 21 - 5

y = 16

The value of y when x is 3 is 16.

Option B is correct.

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. LHS = RHS is a common mathematical formula.

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.

We have the Equation: y= 7x -5

Now, put the value of x =3 in the given equation and solve for y we get

So, y = 7 (3)-5

y= 21 - 5

y = 16

so, the required value is 16.

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3 x 8 = 24

8 x 3 = 24

24/3 = 8

24/8 = 3

A prime number is a number that has a factor of 1 and the number itself.

A factor is a number that we use to get the multiples of a number.

The facts for the fact family 3, 8, and 24 are:

3 and 8 multiplied can give 24.

8 and 24 is a multiple of prime numbers 2 and 3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3, 8, and 24.

We see that,

3 and 8 multiplied can give 24.

3 x 8 = 24

8 and 24 is a multiple of prime numbers 2 and 3.

Prime numbers are those numbers that have a factor of 1 and the number itself.

2 x 4 = 8

2 x 12 = 24

3 x 8 = 24

2 and 3 are prime numbers.

Thus,

The facts for the fact family 3, 8, and 24 are:

3 and 8 multiplied can give 24.

8 and 24 is a multiple of prime numbers 2 and 3.

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Answer:

24/ -38

Step-by-step explanation:

We have to do the opposite of multiplication here, which is division.

If the product is 16/19 and a factor is -4/3 then : (16/19) / (-4/3)

Lets flip the switch, meaning change the symbol and flip the fraction: (16/19) * (3/-4)

Multiply   16 * 3 = 48

                19 * -4= -76

We now have the fraction 48/-76

When simplified it will be: 24/-38

Answer:

52 sq un

Step-by-step explanation:

Answer:

x = 1 + (i)5 and x = 1 - (i)5

Step-by-step explanation:

x^2-2x+26=0 can be rewritten by completing the square of x^2-2x, as follows:

x^2-2x+26=0

x^2-2x+ 1  - 1  +26=0 (this 1 comes from halving the coefficient of x (which is -2), obtaining -1, squaring the result, and then adding this 1 to and subtracting this 1 from x^2-2x)  →  x^2-2x+ 1  - 1  +26=0

Rewriting x^2-2x+ 1 as the square of a binomial, we get:

 (x - 1)²  - 1  +26=0, or  (x - 1)²  - 1  +26=0, or   (x - 1)² = -25

Taking the square root of both sides yields x - 1 = ±(i)5.

Thus, the roots are x = 1 + (i)5 and x = 1 - (i)5  (Answer C)

Answer:

Second is the answer

Step-by-step explanation:

Slope = rise/run = y /x = m

Solve y to get y = mx

The slope of a line is rise over run, which would be Y over X.

The second answer is the correct one.