which phrase describes an unknown or changeable quantity?

Answer: its c i took the test

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

Perimeter = Sum of all sides

Perimeter = (x+4)+(4x)+10x-(10)

Where Perimeter = 294 in.

294 = 15x-6

15x = 294+6

15x = 300

Dividing both sides by 15

=> x = 20

Ok so,

15x-6=your perimeter

15x-6=294

15x=300

300 divided by 15= 20

so x=20

substitute in your values and you should have an answer :)

Answer:

$2.01.

Step-by-step explanation:

Tax paid = 5.5% * 36.60

= 0.055 * 36.60

= 2.013

Answer: 7/5 or 1 2/5

Step-by-step explanation:

Ok so the bakery uses 3 3/5 cups cups of oats for 2 4/7 POUNDS of cookies.

You need to find the unit price.

So to get from 2 4/7 to 1, you need to divide 2 4/7 by 2 4/7

You need to do the same thing to 3 3/5 cups.

3 3/5 as an improper fraction is 18/5

2 4/7 as an improper fraction is 18/7

Now to divide you need to keep, change, and flip

keep the 18/5, change the sign to multiplycation, and flip the 18/7 to 7/18

18/5*7/18=7/5

7/5 or 1 2/5 pounds of outs are required to make 1 pound of oatmeal cookies

The total number of cups of oats are required per pound of cookies is 7/5 and this can be determined by using the unitary method.

Given :

A bakery uses 3 3/5 cups of oats to make 2 4/7 pounds of oatmeal cookies.

The following steps can be used in order to determine the total number of cups of oats are required per pound of cookies:

Step 1 - The unitary method can be used in order to determine the total number of cups of oats are required per pound of cookies.

Step 2 - According to the given data, a bakery uses 18/5 cups of oats to make 18/7 pounds of oatmeal cookies.

Step 3 - So, the total number of cups of oats are required per pound of cookies is:

[tex]=\dfrac{\dfrac{18}{5}}{\dfrac{18}{7}}[/tex]

Step 4 - Simplify the above expression.

= 7/5 cups/pound

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Answer:

1/1

Step-by-step explanation:

because that is it

Answer:

the answer is d

Step-by-step explanation:

Answer:

[tex]f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

Step-by-step explanation:

[tex]f(x)=y=\frac{5x}{3}+5\\y-5=\frac{5x}{3}\\3(y-5)=5x\\x=\frac{3(y-5)}{5}\\ => f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

The inverse of the linear function, f(x),  f(x) =5x/3 +5 is f⁻¹(x) = 3 (x -5) / 5. The correct option is  f⁻¹(x) = 3 (x -5) / 5

The inverse of a function is a function that reverses the effect the original function.

Here, we have,

The original function is; f(x) =5x/3 +5

The inverse of f(x) can therefore be found by making x the subject of the equation as follows;

f(x) = 5x/3 +5

f(x) -5 = 5x/3

(f(x) -5) 3 = 5·x

x = (f(x) -5) 3 / 5

x = 3 (f(x) -5) / 5

Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;

f⁻¹(x) =  3 ((x) -5) / 5

f⁻¹(x) = 3 (x -5) / 5

The correct option that is an inverse of f(x) is f⁻¹(x) = 3 (x -5) / 5.

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Answer:

5

Step-by-step explanation:

Vertices are points where lines intersect. A pyramid has 5 vertices.

Answer:

5

Step-by-step explanation:

A square-based pyramid has 5 vertices, 1 on the top and 4 on the base.

Answer:

C. 21/26

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Plug in our coordinates:

m = (5 + 16)/(18 + 8)

m = 21/26

Answer:

C. 21/26

Step-by-step explanation:

Slope is determined by the change (or difference) in the y-coordinates divided by the change (or difference) in the x-coordinates.

Here, our y-coordinates are -16 and 5, so:

5 - (-16) = 5 + 16 = 21

Our x-coordinates are -8 and 18, so:

18 - (-8) = 18 + 8 = 26

Now, we divide: 21/26.

The answer is thus C.

~ an aesthetics lover

Answer:

C. 10i

Step-by-step explanation:

I took the quiz and got a 100%

By Simplify square root of negative 100 we get the answer is C (10i).

Usually, simplification involves proceeding with the pending operations in the expression.

A Simplification usually involves making the expression simple and easy to use later.

We have the expression:

√-100

Rewriting this yields:

[tex]=\sqrt{-1\cdot100}\\\\=\sqrt{-1}\cdot\sqrt{100}\\\\=i\sqrt{100}=10i[/tex]

Therefore, By Simplify square root of negative 100 we get the answer is C (10i).

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Area of a rectangle is 27 cm²

Given:

Perimeter of a rectangle = 24 cm

Length = 3x

Width = x

p = 2(l + w)

24 = 2(3x + x)

24 = 6x + 2x

24 = 8x

24/8 = x

3 = x 

Width = 3 cm ; Length = 3x = 3(3) = 9 cm

Area = length * width

        = 9cm * 3 cm

Area = 27 cm² 

Answer:

Area of a rectangle is 27 cm²

Step-by-step explanation:

===================================================

Explanation:

For me, I find it easier to find the exterior angle first. For any convex polygon, the sum of the exterior angles is 360 degrees. When we talk about regular polygons with n sides, each exterior angle is 360/n degrees. In this case, we have a nonagon with 9 sides. So n = 9 is plugged into 360/n to get 360/9 = 40 as the exterior angle measure

exterior angle = 40

We could stop here since we can see the answer must be choice A. But let's keep going. To get the interior angle, we subtract the result we got from 180

interior angle = 180-(exterior angle) = 180-40 = 140

This is because any adjacent pair of interior and exterior angles must form a straight angle of 180 degrees.

--------------------

side note: you could use the formula [tex]i = \frac{180(n-2)}{n}[/tex] to find the measure of the interior angle.

Answer:x=8 Y=-6

Step-by-step explanation:

14-2.5x=1.5x-18

+18. +18

32-2.5x=1.5x

+2.5x =2.5x

32= 4x

Divide 4 to both sides you get

8=x

Y=14-2.5(8)

Y=14-20

Y=-6

Answer:

Step-by-step explanation:

the answer is b

The product of the given polynomials is 3x⁴-x³+3x²+18x+4. Therefore, option B is the correct answer.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The given expression are 3x² + 5x + 1 and x² - 2x + 4

Now,

           3x² + 5x + 1

         × x² - 2x + 4

         __________

           12x²+20x+4

    -6x³-10x²-2x

3x⁴+5x³+x²

_______________

3x⁴-x³+3x²+18x+4

Therefore, option B is the correct answer.

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Answer: 0.01.

Step-by-step explanation:

Given: A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive.

i.e. each place in 5 digit number has 10 choices.

Total ways to make such a number = [tex]10^5=100000[/tex].

If the first two digits in the string are a 4 and a 2, in that order, then the number of ays to make this kind of number = 1 x 1 x 10 x 10 x 10 = 1000  [as 4 and 2 can be put on first and second place in 1 way ]

Now, the probability that the first two digits in the string are a 4 and a 2 , in that order = [tex]\dfrac{1000}{100000}=\dfrac{1}{100}=0.01[/tex]

Hence, the probability that the first two digits in the string are a 4 and a 2 , in that order = 0.01.

Answer:

1

Step-by-step explanation:

Halves:

0

0.5

1

1.5

2

1 1/16 = 1.0625

1.0625 is between 1 and 1.5, but it is much closer to 1 than to 1.5, so answer is 1

Answer:

-6634

Step-by-step explanation:

(5m)² - (2n-3m)³ if m=-3 and n=5

= (5 * (-3))^2 - (2 * 5 - 3 * (-3))^3

= (-15)^2 - (10 - (-9))^3

= 225 - (19)^3

= 225 - 6859

= -6634

the formula for the circumference of a cirlce is πd. the diameter is 2r which in this case is 0.5. therefore the circumference is 0.5π, or 1.5708 (rounded)

Answer:

C= 157

Step-by-step explanation:

The formula for the circumference of a circle is 2 · pi · r (radius)

So your problem would look something like this:

C= 2 · pi · r

C= 2 · 3.14 · 25

C= 157 in.

Answer:

see below

Step-by-step explanation:

2i * -2i = -4 i^2

We know that i^2 = -1

          = -4 * -1

          = 4

It is not equal to -4i because we need to multiply i*i which is i^2 not i

Answer:

The answer is 4 (working below), It is not [tex]-4i[/tex] because [tex]i \times i = i^2[/tex].

Step-by-step explanation:

[tex]2i \times -2i[/tex]

Multiply.

[tex]2 \times i \times -2 \times i[/tex]

[tex]-4i^2[/tex]

Apply : [tex]i^2 = -1[/tex]

[tex]-4(-1)[/tex]

[tex]=4[/tex]

Answer:

4

Step-by-step explanation:

y² − 4y = 3

y² - 2*2*y =3

y² - 2*2*y  + 2² = 3 + 2²

(y - 2)² = 3 + 4

Answer:

Step-by-step explanation:

In a regular polygon, all sides and angles are equal.

So, an equilateral triangle is an example for regular polygon

Answer:

equilateral triangle should be the correct answer

Step-by-step explanation:

Answer:

B. 1

Step-by-step explanation:

-9/6 ÷ 3/-2

Reciprocal and it becomes multiplication.

-9/6 × -2/3

Multiply the fractions.

18/18

= 1

Answer:

Step-by-step explanation:

-9/6/3/-2

Made the second number the reciprocal =

-9/6  /  -2/3

Switch the sign to a multiplication sign =

-9/6 * -2/3

Simplify the numerator =

-9*-2 = 18

Simplify the denominator =

3*6 = 18

Place the numerator and denominator together =

18/18

Simplify the answer =

18/18 = 1

Hope this helped,

Kavitha

Answer:

A) 19,600

Step-by-step explanation:

A) How many ways can we choose three states to be represented?

To solve for the above question, we would be using the Combination formula

The combination formula is given as:

C(n , r) = nCr = n!/r! (n - r)!

Where n = 50

We are told that we are to make a 3-Senator committee in which no two members are from the same state. So,

r = 3 ( senator committee)

nCr = n!/r! (n - r)!

50C3 = 50! / 3! (50 - 3)!

50C3 = 50! / 3! × 47!

50C3 = 19,600

Therefore, the number of ways can we choose three states to be represented is 19,600 ways.

Step-by-step explanation:

I hope it's correct

HAVE A GOOD DAY!

The value of a in the triangle is 10

The sine of an angle is:

sin(angle)= opposite/hypotenuse

Using the question parameters, we have:

sin(30) = 5/a

Substitute sin(30) = 1/2

1/2 = 5/a

Cross multiply

a = 2 * 5

Evaluate

a = 10

Hence, the value of a in the triangle is 10

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Answer:

p^2 pm pn mn

Step-by-step explanation:

Using the FOIL Method we get this result

p * p

p * n

p * m

m * n

Answer:

12.56

Step-by-step explanation:

The shape is 1/4 of a circle.

The arc length is 1/4 of the whole circle’s circumference.

[tex]C=3.14 \times d[/tex]

[tex]r=8[/tex]

[tex]d=2r\\d=2(8)\\d=16[/tex]

[tex]1/4 \times 3.14 \times 16[/tex]

[tex]=12.56[/tex]

Answer:

12.56

Step-by-step explanation:

1. Circumference equation: 2πr

2. Substitute radius in equation: 2•8π

3. Simplify: 16π, or 50.24

4. Divide by 4, since you only need to find 1/4 of the circumference: 12.56

Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 300, 70 800

Step-by-step explanation:

Greatest is always the number with the most digits.

Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 330, 70 800

Step-by-step explanation:

To answer this I simply needed to know the orders of numbers from ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, tens of millions, and hundreds of millions. You must also know which digits hold the most value.

[tex]1\\10\\100\\1,000\\10,000\\100,000\\1,000,000\\10,000,000\\100,000,000[/tex]