convert 100 miles per hour to miles per minute

Answer:

You saved $135 off of the original price of the guitar

Step-by-step explanation:

The original price of the guitar is $450. If we subtract 30% of the original price, we will essentially be solving 450 - 135 which gives us $315. Since we know that 30% was the amount taken off, 30% of the original price is how much you saved. So, you saved $135 off of the original price of the guitar.

(sorry if this is confusing, I'm not very good with words)

Answer:

Zack is 14

Step-by-step explanation:

Hope this helps!!!!

14

~If Zach is 4 years older than TWICE his sister Maya's age and Maya is 5 then to work out Zachs age we need to do this:

5×2=10 and plus his age +4 = 14

thus Zach is 14

Hope this helped you- have a good day bro cya)

Answer:

f(2)=8(12-x)-5

=8(12-2)-5

f(2)=8(10)-5

=75

Answer:

3/25

Step-by-step explanation:

12/100 = 3/25

The margin of error is defined as follows:

M = 1.9z/sqrt(n).

In which:

The bounds of the confidence interval are given as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The margin of error is then given as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

The problem is incomplete, hence the general procedure to obtain the sample size was presented.

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The number of people who saw a comedy and spent less than or equal to $10 at the concession stand is 108.

The first step is to determine the number of people would watched comedy.

Number of people who watched comedy = (ratio of people who watched comedy / sum of ratios) x total number of people

Sum of ratios = 2 + 9 = 11

Number of people who watched comedy = (9/11)  x 176 = 144

Number of people who saw a comedy and spent less than $100 = percentage of people who spent less than $100 x number of people who watched a comedy

Number of people who saw a comedy and spent less than $100 = (1 - 0.25) x 144

Number of people who saw a comedy and spent less than $100 = 0.75 x 144 = 108

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Answer:

Have a good day

Step-by-step explanation: and so have a good day

Answer:

\(x\neq 0\)

Step-by-step explanation:

Dividing by 0 is undefined, hence not allowed.

The denominator of the first term contains x^2.

Hence 0 is not allowed.

Based on a system of equations, the number of each type of ticket sold is as follows:

A system of equations involves two or more equations solved at the same time or concurrently.

We also describe a system of equations as simultaneous equations.

The cost of singles tickets = $20

The cost of couples tickets = $35

The total sales recorded = $3,280

The total number of attendees = 128

Let the number of singles tickets sold = x

Let the number of couples tickets sold = y

Equation 1: x + y = 128

Equation 2: 20x + 35y = 3,280

Multiply Equation 1 by 20:

Equation 3: 20x + 20y = 2,560

Subtract Equation 3 from Equation 2:

20x + 35y = 3,280

-

20x + 20y = 2,560

15y = 720

y = 48

Substitute y = 48 in Equation 1:

x + y = 128

x + 48 = 128

x = 80

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Step-by-step explanation:

We can use the Pythagorean identity to solve for the missing values of sin(theta) and cos(theta) given the value of tangent(theta):

tan(theta) = opposite/adjacent = sin(theta) / cos(theta)

Using the given value of tan(theta) = 12/5, we can assume that the opposite side of the right triangle is 12 and the adjacent side is 5.

Then we can solve for the missing values of sin(theta) and cos(theta) using the Pythagorean theorem:

hypotenuse^2 = opposite^2 + adjacent^2 sin(theta)^2 + cos(theta)^2 = 1

Solving for sin(theta) and cos(theta), we get:

sin(theta) = opposite/hypotenuse = 12/13 cos(theta) = adjacent/hypotenuse = 5/13

Therefore, sin(theta) = 12/13 and cos(theta) = 5/13.

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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Answer:

x = 0 , x = 2

Step-by-step explanation:

3x² = 6x ( subtract 6x from both sides )

3x² - 6x = 0 ← factor out 3x from each term

3x(x - 2) = 0

equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 2 = 0 ( add 2 to both sides )

x = 2

solutions are x = 0 , x = 2

Answer:

120

Step-by-step explanation:

volume of triangular prism = area of base times length

the base is a triangle and the area of a triangle can be calculated by using this formula

\(a=\frac{bh}{2}\)

where b = base length and h = height

Dimensions of base

base length = 8cm and height = 3cm

Thus,

\(A=\frac{3*8}{2} \\3*8=24\\\frac{24}{2} =12\\\)

The length of the triangular prism is 10cm

Thus volume = 10 * 12 = 120

Answer:

B 4.4

Step-by-step explanation:

There is 1 gallon in 3.7 liters so you would divide 16.5 by 3.7

The tank has a capacity of 58.90 liters of gas.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that the gas tank in Sharon’s car can hold up to 16.5 gal of gas

Since one  gallon is 4 quarts

Volume in quarts as:

16.5 gallons = 16.5 x 4 quarts = 66 quarts

So quarts = 0.946

66 quarts = 0.946 x 66 = 62.436

So Volume = 62.436q

Volume in liters as:

Given as one litre = 1.06qt

If one liter is 1.06, Then 62.436 will be = 62.436/1.06 = 58.90

The volume in liters of 58.90

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Answer:

40%

Step-by-step explanation:

12 divided by 30 will give you 0.4

Answer:

(c) No; There is an exponent on a variable x that is not a whole number

Step-by-step explanation:

Given

\(f(x) = x^2 - \sqrt[5]{x}\)

Required

Determine if the function is a polynomial function of not

A polynomial function is represented as:

\(f(x) =ax^n + bx^{n-1} + cx^{n-2}+........+z\)

Where n is an integer and the least power is 0

So, we have:

\(f(x) = x^2 - \sqrt[5]{x}\)

The degree of x is \(\frac{1}{5}\) ----- i.e. not an integer

Hence, the function is not a polynomial

(a) The amplitude of the function is 2.

(b) The amplitude of the function is 3.

Amplitude is interval between the resting position and the maximum migration of the wave.

Formula for amplitude of the function is:

y = A sin (ωt + Ф) or y = A cos (ωt + Ф), where A represent the amplitude.

Given:

(a) y = 2 cos [3(Ф + 45)]

Formula for amplitude is:

y = A cos (ωt + Ф)

(b) y = 3 sin [2(Ф - 90)]

Formula for amplitude is

y = A sin (ωt + Ф)

After compare amplitude with equation than we get amplitudes are 2 and 3.

Therefore, the amplitude of the following function are 2 and 3 respectively.

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Answer:

  (b)  (3,-1)

Step-by-step explanation:

One can determine the correct answer by checking to see if it satisfies the equations.

The first equation can be rewritten to ...

  x = 6 +3y . . . . . . . add 3y to both sides

This makes it easier to check answer choices:

  a) -1 = 6 +3(3) . . . . no

  b) 3 = 6 +3(-1) . . . . yes . . . . . (3, -1) is the solution

  c) 1 = 6 +3(-3) . . . . no

  d) -3 = 6 +3(1) . . . . no

__

Additional comment

We can further convince ourselves this is the correct choice by seeing if it satisfies the second equation:

  2x +2y = 4 . . . for (x, y) = (3, -1)

  2(3) +2(-1) = 4 . . . . yes

Answer:

√20 =4.47

Area =4.47*4.5

Area =20 unit ^2

The body surface area is given by the equation A = 1.6865 m²

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.

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.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

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A function involves inputs, x and outputs, y. Looking at the given expression, We can get values for diiferent y if we substitute values for x. Thus, it is a function. Also, every function is a relation. Thus, it is also a relation. Therefore, the correct option is B

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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Answer:

D

Step-by-step explanation:

loudness depends on the amplitude or height of the sound waves

Answer:

102

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

D. 96

Step-by-step explanation:

1/2 (82 + 110)

1/2 (192) = 96

Answer:

96 D

Step-by-step explanation: