Write the rational numbers as a decimal:

7/8

1/1

-7/9

-17/40

1 and 5/6

-2 and 17/18

-5 and 7/12

8 and 15/22

Answer: 2.5, 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)

Angle is formed by the two rays. The angle with measurement –102° will lie in the third quadrant.

An angle is formed by the two rays, the two rays are known as the two sides of the angle.

As it is given that the measure of the angle is –102°, therefore, the angle will be measured from the positive x-axis in the clockwise direction, therefore, the angle will lie in the third quadrant as shown in the image below.

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Answer:

x=0

Step-by-step explanation:

solve for  x  by simplifying both sides of the equation, then isolating the variable. which got me x=0

Answer:

x = 1/90

or

x = 90^-1

Step-by-step explanation:

-2/5x - 8/15x + 1/3x = -54

-9/15x = -54

-3/5x = -54

3x = 270x

270x = 3

x = 1/90, x ≠ 0

Answer:

x < -3

Step-by-step explanation:

-3x > 5 + 4

-3x > 9 /: (-3) *** WHEN DIVIDING BY A NEGATIVE NUMBER THE SIGN OF THE INEQUALITY CHAGES !!!

x < -3

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

(7) The volume of the square base pyramid is 122.5 in³.

(8) The volume of the equilateral base pyramid is 311.8 cm².

(9)  The volume of the square base pyramid is 2,880 ft³.

The volume of the pyramids is calculated by applying the following formula as follows;

(7) The volume of the square base pyramid is calculated as;

V = ¹/₃Bh

where;

V = ¹/₃ x (7 in x 7 in ) x 7.5 in

V = 122.5 in³

(8) The volume of the equilateral base pyramid is calculated as;

V = ¹/₃Bh

V = ¹/₃ x (a²√3/4) x h

V =  ¹/₃ x (12²√3/4) x 15

V = 311.8 cm²

(9)  The volume of the square base pyramid is calculated as;

V = ¹/₃Bh

where;

V = ¹/₃ x (24 ft x 24 ft ) x 15 ft

V = 2,880 ft³

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Answer:

3x^2 ( x+5)

Step-by-step explanation:

1/x^2  + 1/( 3x^2 +15x)

Factor the denominators

x^2 = x*x

3x^2 +15x = 3 *x( x+5)

The common denominator is

x* 3x* (x+5)

3x^2 ( x+5)

Answer:

64 Ounces

Step-by-step explanation:

64 Ounces of hot dogs

Answer:

64 oz

Step-by-step explanation:

1 lb = 16 oz

4 × 1 lb = 4 × 16 oz = 64 oz

Answer:

A.

Step-by-step explanation:

Answer:

2x - 0.4x ;

8x/5 ;

Yes

Step-by-step explanation:

Let number of miles = x

Arlene:

Double number of miles = 2 * x = 2x

Subtract 20% of the result :

2x - 20% of 2x ;

2x - 0.4x

Raul:

Divides Number of miles by 5 ; x / 5

Multiplies result by 8 ;

8 * (x/5) = 8x /5

To know if expressions are equivalent :

Let x = 10 miles

Using Arlene's expression:

2x - 0.4x

x = 10

2(10) - 0.4(10) = 16

Using Raul's expression :

8x / 5

(8*10) / 5

80/5

= 16

Since they give the same result, we can conclude that the expression are equivalent

the expression (x² + 4) (y² + 4) can be rewritten using Two Squares as:

(x² + 4) (y² + 4) = (xy² + 2x)² + (2y + xy)² + 16 The answer option that matches this expression is B. Therefore, the answer is (B) (2xy+4)² + (2x+2y)².

The result of multiplying a number or expression by itself produces perfect squares. Seven times seven equals 49, making 49 a complete square. As x squared times x squared equals x to the fourth, this number is a perfect square. Expressions in algebra with only two terms are called binomials.

To rewrite the expression (x² + 4) (y² + 4) using Two Squares, we need to find two perfect square expressions that add up to the given expression. We can start by expanding the given expression:

(x² + 4) (y² + 4) = x²y² + 4x² + 4y² + 16

To rewrite this expression using Two Squares, we need to find two perfect squares that add up to x²y² + 4x² + 4y² + 16. We can do this by completing the square for x²y² + 4x² + 4y² and adding 16 as a separate perfect square.

(x²y² + 4x² + 4y²) + 16 = (xy² + 2x)² + (2y + xy)²

Therefore, the expression (x² + 4) (y² + 4) can be rewritten using Two Squares as:

(x² + 4) (y² + 4) = (xy² + 2x)² + (2y + xy)² + 16

The answer option that matches this expression is B.

Therefore, the answer is (B) (2xy+4)² + (2x+2y)².

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Answer:

Step-by-step explanation:

Givens

Let the height = x

Let the base = 2*x +6

Let the area = 88 square feet.

Formula

A = Base * height / 2

Solution

88 = (2x + 6)*x/2                       Multiply both sides by 2

88*2 = (2x+6)*2*x/2                Combine

176 = (2x + 6)*x                        Remove the brackets

176 = 2x^2 + 6x                         Subtract 176 from both sides

0 = 2x^2 + 6x - 176                   This factors without the quadratic

0 = (2) (x^2 + 3x - 88)

0 = 2 (x +11)(x - 8)

Note: x + 11 has no meaning. Measurements of this type cannot be minus. What is - 11 feet.

x - 8 =0

x = 8

Answer

height = 8 feet

base = 2*8 + 6

base = 22

Answer:

2

Step-by-step explanation:

Answer:

312

Step-by-step explanation:

120x0.4=48

48x3=144

120x0.7=84

84x2=168

168+144=312

Answer:

u gotta find the variable

Step-by-step explanation:

the letter is x find it by subject

Answer:

The number series 2, 4, 6, 8, 10, 12, . . . . , 80. Therefore, 1640 is the sum of first 40 even numbers.......Sep 23, 2018

PLS MARK BRAINLIEST

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

i think like the 2nd one im not sure i cant see the lines

Step-by-step explanation:

Answer:

its 15 ur counting by 3's

Step-by-step explanation:

Answer:

it is 15

Step-by-step explanation:

just go by 3's 3,6,9,12,15,18,21,24,27,30

The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) with the two numbers she rolls can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.

To find the number of favorable outcomes, we need to identify the combinations of two numbers that will result in a two-digit number between 10 and 20. We can list these combinations as follows:

11, 12, 13, 14, 15, 16

Notice that we only have six favorable outcomes.

Now, let's determine the total number of possible outcomes when rolling two six-sided dice. Each die has six possible outcomes (1, 2, 3, 4, 5, 6), so the total number of outcomes is 6 multiplied by 6, which equals 36.

To calculate the probability, we divide the number of favorable outcomes (6) by the total number of possible outcomes (36):

Probability = Favorable outcomes / Total outcomes
Probability = 6 / 36
Probability = 1 / 6

Therefore, the probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

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To find the maximum volume of a cylinder inscribed in a sphere of radius r, we need to use optimization techniques. The cylinder should be such that its height is equal to its diameter and both should be equal to the diameter of the sphere. This means that the cylinder should be a cube with its diagonal equal to the diameter of the sphere.

Let the diameter of the sphere be 2r. The diagonal of the cube is equal to the diameter of the sphere, so its side is r√3. The volume of the cube is (r√3)^3 = 27r^3.

Since the cylinder is inscribed in the sphere, its radius is r and its height is 2r. The volume of the cylinder is πr^2(2r) = 2πr^3.

To maximize the volume of the cylinder, we need to differentiate the volume equation with respect to r and set it equal to zero:

d/dx (2πr^3) = 6πr^2 = 0

This gives us r = 0, which is not a valid solution. Therefore, the maximum volume of the cylinder inscribed in the sphere of radius r is 2πr^3, when the cylinder is a cube with its diagonal equal to the diameter of the sphere.

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Therefore, the numbers that could be the probability of an event are: 0.04, 0, 1, and 0.33.

The numbers that could be the probability of an event are: 0.04, 0, 1, and 0.33.

Probability is a mathematical concept used to measure the likelihood or chance of an event occurring.

Probability is expressed as a number that varies between 0 and 1, with a probability of 0 indicating that the event is impossible and a probability of 1 indicating that the event is certain.

The following numbers could be the probability of an event:0.04 (since probability ranges from 0 to 1, the decimal 0.04 falls within this range.)

0 (probability can only be zero when the event is impossible, thus 0 is an acceptable probability.)

1 (since probability ranges from 0 to 1, the value 1 falls within this range.)

0.33 (since probability ranges from 0 to 1, the decimal 0.33 falls within this range.)

Therefore, the numbers that could be the probability of an event are: 0.04, 0, 1, and 0.33.

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Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Answer:

The answer is five and D.

Answer:

E

Step-by-step explanation:

As you can see, A is closest to -4 on the line. Each gaps on the line is 4-0=4, so the point which B on is 4+4=8. Finally, the answer is 8-(4)=12

In this situation, interval measurement is being employed as the measurement level.

As the height of each student can be measured on a continuous scale with equal intervals between the values. It's important to note that the teacher may have rounded the measurements to the nearest unit, which would make it a discrete measurement.

Interval measurement is a level of measurement in which the values are measured on a continuous scale and have equal intervals between them, but there is no true zero point. This means that the difference between any two values on the scale is meaningful and consistent, but it is not possible to say that one value is "zero" or has no quantity of the measured attribute.

For example, measuring temperature in degrees Celsius or Fahrenheit is an example of interval measurement. In this case, the difference between 10 and 20 degrees is the same as the difference between 20 and 30 degrees, but there is no true zero temperature - a temperature of 0 degrees does not mean the absence of heat.

Another example of interval measurement is measuring time in minutes or hours. The difference between 10 minutes and 20 minutes is the same as the difference between 20 minutes and 30 minutes, but there is no "zero" point in time - even if nothing is happening, time continues to pass.

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The area of ABCD is calculated as: 25 square units.

Given the following vertices for ABCD as:

A (5,-5),

B(8,5),

C(11, -15),

D(8, – 15)

The area of ABCD = area of triangle ABC + area of triangle ADC.

Use the area of a triangle formula, 1/2|x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|, to find the area of triangle ABC and the area of triangle ADC.

Area of triangle ABC:

A (5,-5) = (x1, y1)

B(8,5) = (x2, y2)

C(11, -15) = (x3, y3)

Plug in the values

Area of triangle ABC = 1/2|5(5 - (-15)) + 8(-15 - (-5)) + 11(-5 - 5)|

Area of triangle ABC = 1/2|100 - 10 - 110|

Area of triangle ABC = 1/2|-20|

Area of triangle ABC = 10 units²

Area of triangle ADC:

A (5,-5) = (x1, y1)

D(8, – 15) = (x2, y2)

C(11, -15) = (x3, y3)

Plug in the values

Area of triangle ADC = 1/2|5(-15 - (-15)) + 8(-15 - (-5)) + 11(-5 - (-15))|

Area of triangle ADC = 1/2|0 - 80 + 110|

Area of triangle ADC = 1/2|30|

Area of triangle ADC = 15 units²

Area of ABCD = 10 + 15 = 25 units².

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Answer:

48/5

Step-by-step explanation:

hope it helps!

......

Answer:

Size of the side of the square = 25

Step-by-step explanation:

Here WY is the diagonal

VZ = ZX = 15

and VW = VY = 20 (bisector of diagonal)

The diagonals intersect each other at 90 degrees

Hence the side of the Rhombus

Sqrt ( 15^2 + 20^2)

Sqrt (225 +400)

Sqrt (625)

= 25

Answer:

10 miles

Step-by-step explanation:

10 miles

Step-by-step explanation:

Since the distance on the map is 4 inches, and the scale is 1in=2.5 mi, you multiply 2.5 by 4 which gets you your answer of 10 miles.

Answer:

It costs $90 dollars afterwards.

Step-by-step explanation: