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Kenny wakes up at 8:00. He visits a friend at half past 10:00. He goes to the playground at 1:00 . How many minutes has it been?

Answer:

1 dime and 10 nickels.

Step-by-step explanation:

Use the equations:

60 = 10x + 5y

11 = x + y

x is equal to the number of dimes, y is equal to the number of nickels.

Isolate the x variable in one of the equations:

x = 11-y

Plug 'x' into the other equation:

60 = 10(11-y) + 5y

Simplify

60 = 110 - 10y + 5y

-50 = -5y

y = 10

Insert this y value into the original equations to find the value of x

11 = x + 10

x = 1

Answer: 256,1

Step-by-step explanation:

\(\sqrt{x} - \sqrt{y} =15\\\sqrt{y} = 49-3\sqrt{x} \\\\\sqrt{x} -(49-3\sqrt{x} ) =15 \\so, x=256\\substitute \{x}\ :\\\\\sqrt{y} = 49-3\sqrt{256} =y=1\)

so, 256=x

and, y=1

Hope this Helped!

Answer:

1, 4 or -1, -4

Step-by-step explanation:

Let the two numbers be x and such that x > y.

According to the first condition:

\(x^2 -y^2= 15\)

\(\implies x^2 =y^2+15\)......(1)

According to the second condition:

\(3x^2 +y^2= 49\)

\(\implies 3(y^2+15) +y^2= 49\)

(From equation 1)

\(\implies 3y^2+45 +y^2= 49\)

\(\implies 4y^2 =49-45\)

\(\implies 4y^2 =4\)

\(\implies y^2 =\frac{4}{4}\)

\(\implies y^2 =1\)

\(\implies y =\pm 1\)

When y = 1

\(\implies x^2 =(1)^2+15=1+15=16\)

\(\implies x =\pm 4\)

When y = -1

\(\implies x^2 =(-1)^2+15=1+15=16\)

\(\implies x =\pm 4\)

Thus, the required numbers are either 1, 4 or -1, -4

Step 1

Given;

Required; To find the area

Step 2

The area of a cylinder is given as;

Answer;

Answer:

a. lines intersecting at a single point

b. one solution

Step-by-step explanation:

a. The equations can be rewritten as:

y = -5x+23 and y = -1/6x+1

Comparing the equations with standard equation: y=mx+c, where m is the gradient of the line formed by the linear equation.

Since the gradient of the lines are different then the lines cannot be parallel and will intersent at one point.

b. The equation will have one solution as below.

The equations can be rewritten as:

5x+y=23

5x+30y=30

Subtracting both equation will result in,

29y=7

=> y=7/29

Hence x= 660/29

Answer:

C. 439.6 in.²

Step-by-step explanation:

The container is a cylinder.

Since the two circular bases won't be covered, therefore:

The least construction paper needed to cover the remaining surface = curved surface area of the cylinder

= 2πrh

r = 5 in.

h = 14 in.

Plug in the values

Curved surface area = 2×π×5×14 = 439.6 in.²

Answer:

A would be correct

Step-by-step explanation:

the answer is A.

The coach expects each player to make a fraction of 3/4 of their shot which is 75 percent in order to make starting team.

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

In this case, if the coach wants each player to make 75% of their shot, it implies that each player must make a certain fraction of their total shot.

Converting percentage to fraction, we will have

75% = 3/4

Each player must make at least 3/4 of their shot to make her starting team,

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Answer:

  7 - (-3)

Step-by-step explanation:

You want the sum 7 + 3 expressed as a difference.

The difference of A and B is written A - B. The subtraction operation is involved.

Subtraction is the same as addition of the opposite. Or, addition is the same as subtracting the opposite:

  7 + 3 = 7 - (-3)

__

Additional comment

We can also write the difference as ...

  3 - (-7)

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.

One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.

Using a calculator, we can find the sine of 98 degrees as follows:

sin 98° ≈ 0.9848

Rounding this to four decimal places, we get:

sin 98° ≈ 0.9848

Therefore, sin 98° is approximately equal to 0.9848.

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Answer: a. |x-92000|<=22000

b. 70000<=x<=114000

Step-by-step explanation:

a. x=actual value of car

|x-92000|<=22000   ==> as much as means at most 22000. The difference between x and 92000 is 22000, which can be expressed in absolute value since the difference shouldn't be negative.

b. |x-92000|<=22000

x-92000<=22000

x-92000+92000<=22000+92000

x<=114000

x-92000>=-22000

x-92000+92000>=-22000+92000

x>=92000-22000

x>=70000

70000<=x<=114000

Answer:

My best conclusion (simply put) is that you had a higher score than the average class.

Step-by-step explanation:

It obvious that the green dots is above the averages of both bars. It would be safe to think that you scored higher than the average of the entire class in both predictions and parabolas.

Answer:

the farmer has 196 cows

Step-by-step explanation:

Answer: They resold them for $30 more than the original price.

Answer: 37.5%

Step-by-step explanation:

$80 - $50 = $30,

$30/$80 = 0.375 > 37.5%

Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.

I prefer Wills method because it is easier and less complicated.

Wills method:

(5x + 6x) - (2x - 1)

Subtract both 2x and -1

5x + 6x - 2x - - 1

5x + 4x + 1

In conclusion, Wills method is preferred when both methods are compared.

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Answer:   Yes, because it is how to do it.

Step-by-step explanation:

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

Answer:

1) y = 2x + 1

2) y = 2x + 1

Step-by-step explanation:

The parametric equation given is;

x = 1 + ln t and y = t² + 2 at (1, 3)

1) without eliminating the parameter;

Using, x = 1 + ln t ;

dx/dt = 1/t

Using y = t² + 2;

dy/dt = 2t

Slope which is dy/dx is gotten from;

dy/dx = (dy/dt)/(dx/dt)

dy/dx = 2t/(1/t)

dy/dx = 2t²

For x = 1 + In t, at x = 1, we have;

1 = 1 + In t

In t = 0

t = 1

For y = t² + 2, at y = 3, we have;

3 = t² + 2

t² = 3 - 2

t² = 1

t = ±1

Since t = ±1, then;

dy/dx = 2(±1)²

dy/dx = 2

Equation of the tangent is;

y - 3 = 2(x - 1)

y - 3 = 2x - 2

y = 2x - 2 + 3

y = 2x + 1

2) By eliminating the parameter

x = 1 + In t

Let's make t the subject of the equation.

In t = x - 1

t = e^(x - 1)

Let's put e^(x - 1) for t in y = t² + 2

Thus;

y = e^(x - 1)² + 2

y = e^(2(x - 1)) + 2

Thus, parameter has been eliminated

Equation of the tangent is gotten from;

y - y1 = m(x - x1)

m is gradient = dy/dx = 2e^(2(x - 1))

at (1, 3), we have x = 1. Thus;

m = 2e^(2(1 - 1))

m = 2e^0

m = 2

Thus, equation of tangent at (1,3) is;

y - 3 = 2(x - 1)

y - 3 = 2x - 2

y = 2x - 2 + 3

y = 2x + 1

Answer:

If they are only units of one then it should just be 5 and if they are bigger units than just multiply so 5

Step-by-step explanation:

I hope this helps u out

Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.

Therefore option A is correct.

The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.

With reference to the table, the occupations that do not require a college degree are:

We were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.

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Answer:

1:3  

Step-by-step explanation:

Answer:

no it's not

Step-by-step explanation:

3% of 45,500 is 1455 which is less then 2,500 which also means 1.5% is not more then 2,500

The standard form of the equation of this hyperbola with vertices at (12, 0) and (–12, 0) is: y squared over 144 minus x squared over 25 equals 1.

Mathematically, the standard form of the equation of a hyperbola is represented by this mathematical expression:

(y - k)²/a² - (x - h)²/b² = 1          .......equation 1.

Where:

From the information provided above, we have the following parameters:

Vertices = (12, 0) and (–12, 0)

h = 0

k = 0

Asymptote = ±5/12(x) = bx/a      ......equation 2.

Comparing equation 1 and equation 2, we have:

b = 5

a = 12

Substituting the given parameters into the the standard form, we have;

(y - k)²/a² - (x - h)²/b² = 1

(y - 0)²/12² - (x - 0)²/5² = 1

(y - 0)²/144 - (x - 0)²/25 = 1

y²/144 - x²/25 = 1

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The solution is (FoF) (0) = -8, when f(x) = 3x-2.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

f(x) = 3x-2

i.e. fof(x)

 =3(3x-2)-2

=9x-8

so. fof(0)

   =9*0-8

   = -8

Hence, The solution is (FoF) (0) = -8, when f(x) = 3x-2.

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Answer:

60'' × 52'' or a 79.4'' TV

Step-by-step explanation:

Leaving a room of 2 inches on all sides means we subtract 4 inches from the height and length to find the maximum dimensions of the TV.

With this, we get 60'' × 52''. To find the diagonal length of the TV, use the Pythagorean Theorem which simply states the length of the diagonal is equal to the square root of the sum of the squared dimensions.

\(\sqrt{a^2+b^2} =c\)

\(\sqrt{60^2+52^2}=79.4\)

Therefore your TV can have a maximum size of 79.4 inches.

Answer:

what's the answer choices...

Step-by-step explanation:

Answer:

141

Step-by-step explanation:

Area of triangle = 24

Area of Trapezoid= 117

117+24

141