The median of this set of numbers is {20, 30, 40, 50, 60, 70, 80}

Answer:

x = ±8

Step-by-step explanation:

X^2- 64

Set this equal to 0

x^2 -64 =0

Add 64 to each side

x^2-64+64 = 64+64

x^2 = 64

Take the square root on each side

x = ±sqrt(64)

x = ±8

Answer:

Step-by-step explanation:

a²-b²=(a+b)(a-b)

x²-64=x²-8²

=(x+8)(x-8)

Answer:

[tex]\frac{x}{3}[/tex]+4

Step-by-step explanation:

I don't think it can be simplified more than that

Answer:

x= -12

Step-by-step explanation:

x/3 -2+6 =0

x/3 +4 =0

x/3 = -4

x/3 (3) = -4 (3)

x = -12

Answer:

2 > x

Step-by-step explanation:

-2x + 6 > 3x - 4

Add 2x to each side

-2x+2x + 6 > 3x+2x - 4

6 > 5x-4

Add 4 to each side

6+4 > 5x-4+4

10 >5x

Divide each side by 5

10/5 > 5x/5

2 > x

Answer:

x < 2

Step-by-step explanation:

-2x + 6 > 3x - 4

6 + 4 > 3x + 2x

10 > 5x

2 > x

x < 2

Answer:

1. 3x + 2  - First degree

2. 4x3 + 17x - 5  - Third degree

3. 13x" + 5xn-2  - Second degree

4. 0.55x2 + 0.7x  - Second degree

5. 7x3 + 10x + 15  - Third degree

Step-by-step explanation:

The degree of a polynomial is given by the highest power of the given variable (x in this case) in the polynomial. All the elements are considered in selecting the highest power of x in the polynomials.

Considering all; the highest degree of x in the polynomials given is 3 while the lowest is 1 hence we have polynomials ranging from the first to third degrees.

Answer:

2 1/6 chapters per hour

Step-by-step explanation:

Find the unit rate, as follows:

   9.75 chapters

 ----------------------- = 2.166666 ... chapters per hour, or

     4.5 hours                            2 1/6 chapters per hour

The unit rate in chapters per hour is 13/6.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Chang reads 9 3/4 chapters in 4 1/2 hours.

So, the unit rate of reading is

= 9 3/4 / (4 1/2)

= (39/4) / (9/2)

= 39/4 x 2/9

= 13/2 x 1/3

= 13/6.

Hence, the unit rate is 13/6.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

Area of shaded region/area of square = [tex]\pi[/tex]/8

[tex]\frac{50\pi cm^2 }{400 cm^2} = \frac{1}{8}[/tex]

Area of the semi-circle: 50[tex]\pi[/tex] cm^2

Step-by-step explanation: The problem asked us to prove that the area of the shaded region within the diagram divided by the area of the square equals 1/8. An image will be provided down below for visual representation.

First, we must figure out the area of the shaded region. We do this by finding the area of the semi-circle inside the arc circle that goes A to C.

Area of a semi-circle (diameter): [tex]A = \frac{\pi * d^2}{8}[/tex]

[tex]A = \frac{\pi *(20)^2}{8}[/tex]

[tex]A = 50\pi cm^2[/tex]

Now to find the area of the shaded region, we must subtract the area of the semi-circle from the area that covers the arc circle AB.

In the diagram, we can see that the arc circle within the square looks like a quarter circle. We need to manipulate the equation to highlight this.

Area of a semi-circle (radius) divided by 4  = [tex]A = \frac{\pi *r^2}{4}[/tex]

[tex]A = \frac{\pi *20^2}{4} \\A = 100\pi\\A = 100\pi - 50\pi \\A = 50\pi cm^2[/tex]

Area of a square = [tex]A = s^2[/tex]

[tex]A = (20)^2[/tex]

A = 400 cm^2

Now we take these two solutions to see if it equal [tex]\frac{\pi }{8}[/tex].

[tex]\frac{50\pi }{400} \\\frac{50*\pi }{50*8} = \frac{\pi }{8}[/tex]

That is how we get to our final answer: [tex]\frac{\pi }{8}[/tex]

Answer: 15 yards

Step-by-step explanation:

From the question, we have been informed that the Steelers are on the Cowboys' fifteen-yard line. Using the place value mat to calculate how much farther Steelers need to travel to score a touchdown goes thus:

Since the play is 15 yards from the Cowboys end-zone, therefore Steelers need to travel 15 yards for them score a touchdown.

Final answer:

The Steelers are 85 yards away from the end zone.

Explanation:

To calculate how much farther the Steelers need to travel to score a touchdown, we need to know the distance from the Cowboys' fifteen-yard line to the end zone. The distance between each yard line on a football field is 10 yards. Since the Steelers are on the fifteen-yard line, they are 85 yards away from the end zone (100 yards - 15 yards = 85 yards).

Answer:

d ≤ 95

Step-by-step explanation:

The inequality that states we have at most 95 days is d≤ 95.

A connection between two expressions or values that is not equal to one another is referred to as "inequality" in mathematics.

The inequality can be resolved by adding the same amount to each side, subtracting the same amount from each side, multiplying or dividing each side by the same positive integer, and more. If you multiply or divide either side by a negative value, you must flip the inequality sign.

If d represents how many days are left in school this year.

And we have at most 95 days.

Then,

d can not be more than 95.

d ≤ 95

Therefore, the inequality is d ≤ 95.

To learn more about the inequality in mathematics;

brainly.com/question/28823603

#SPJ2

Answer:

$47,000

Step-by-step explanation:

Let u represent the unknown amount of budget

10/100× u = $5000

10u/100=$5000

Cross multiply both sides

10u= $500000

Divide both sides by the coefficient of u

10u/10=$500000/10

u= $50000

Therefore, this year's budget is $50000

Since Smith's budget this year is $3000 greater than last year's budget, to find last year's budget we simply subtract the difference from this year's budget.

$50000- $3000

= $47000

Thus, Smith's total budget for last year was $47000.

Answer: $47,000

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

Their total budget this year is $3,000 more than last year, so we have to add 3000 to their total budged of last year (x). x+3000

Since they spend 10% of their budget on entertainment, we have to multiply the previous expression by the percentage in decimal form (divided by 100).

(x +3000) 10/100 = (x+3000) 0.1

Finally, that expression must be equal to the amount that they will spend in entertainment this year (5000).

(x + 3000) 0.1 =5000

Solving for x:

x+3000 = 5000/0.1

x +3000= 50,000

x = 50,000-3,000

x = $47,000

Feel free to ask for more if needed or if you did not understand something.  

Answer:

YES

Step-by-step explanation:

it is negative and it not a whole number there is a decimal point

Answer:

32.5

Step-by-step explanation:

its a trick question

Part A:

s = k + 4

Part B:

s = 13 + 4

s = 17

Therefore, Sylvia's age is 17 when Katie is 13.

Answer:

B or 4

Step-by-step explanation:

Answer:

B. 2

Step-by-step explanation:

on Edg2020

Answer:

B. 2 got it right

Step-by-step explanation:

Answer:

Step-by-step explanation:

7(4p +2q +3r)= 7*4p + 7*2q + 7*3r

                     = 28p + 14q + 21r

Answer:

28p + 14q + 21r

Step-by-step explanation:

There you go hope that helps

Answer:

706.95in²

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder

Step one

The trash can has a cylindrical shape

The distance from the center to the edge is the radius r= 15in

Step two

Area of top (circular ) = πr²

A= 3.142*15²

A= 3.142*225

A= 706.95in²

Answer:

The ratio of the total surface area to the lateral (curved) surface area of the cylinder is 5:3

Step-by-step explanation:

The height of a right circular cylinder is 1.5 times the radius of the base.

Let the radius of base be x

So, Height of a right circular cylinder = 1.5x

Total surface area of cylinder =[tex]2 \pi r h + 2 \pi r^2 = 2 \pi r(h+r)=2 \pi \times x(x+1.5x)=2 \pi \times x \times 2.5x[/tex]

Curved surface area of cylinder = [tex]2 \pi rh = 2 \pi \times x \times 1.5 x[/tex]

So, Ratio of the total surface area to the lateral (curved) surface area of the cylinder = [tex]\frac{2 \pi \times x \times 2.5x}{2 \pi \times x \times 1.5 x}=\frac{2.5}{1.5}=\frac{25}{15}=\frac{5}{3}[/tex]

Hence the ratio of the total surface area to the lateral (curved) surface area of the cylinder is 5:3

Answer:

The first picture is A

The second picture is 21.8

The third picture is 20

The fourth picture is B

Step-by-step explanation:

4x + 8x = 180

12x = 180

x = 15

90 - 68.2 = 21.8

7x + 10 = 150

7x = 140

x = 20

Angle A = 63

180 - 63 = 117

Answer:

The first picture is A

The second picture is 21.8

The third picture is 20

The fourth picture is B

Step-by-step explanation:

hope this helps

Answer:

102

Step-by-step explanation:

yes because you have to pay more it's tricky

Answer:

They will have $1651 after two years.

Step-by-step explanation:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

$1500 dollars into an account at an annual rate of 4.8%

This means that [tex]P = 1500, r = 0.048[/tex]

Interest compounded twice a month.

A year has 12 months.

So 12*2 = 24 compundings, which means that [tex]n = 24[/tex]

How much will they have after two years?

This is A(2).

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(2) = 1500(1 + \frac{0.048}{24})^{24*2} = 1651[/tex]

They will have $1651 after two years.

Answer: -17.5

Step-by-step explanation:Use this rule:

1. -a-b=-(a+b)−a−b=−(a+b).

-(12.5+4.8)−(12.5+4.8)

2.Use the algorithm method.

1  

1 2 . 5

+  4 . 8

1 7 . 3

3.After simplification, we have:

-(12.5+4.8)=-17.3−(12.5+4.8)=−17.3

4. Therefore, -12.5-4.8=-17.3−12.5−4.8=−17.3.

-17.3−17.3

Answer: the computer loses 50% of its value each year

Step-by-step explanation:

Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where x > 1

Step-by-step explanation:

The roots of this function are the values that make f(x) = 0. As the equation is already factored, we can see that the roots are x1 = 1 and x2 = -7

The x-coordinate of the vertix can be calculated as:

x_v = (x1 + x2)/2 = -6/2 = -3

So the first statement: "The vertex of the function is at (–4,–15)" is wrong.

The y_coordinate of the vertex is:

f(x_v) = (x_v - 1)*(x_v + 7) = (-3 -1) * (-3 +7) = (-4) * (4) = -16

So the second statemente: "The vertex of the function is at (–3,–16)" is correct.

for values of x greater than x_v = -3, the graph increases, as the equation represents a parabola with concavity upwards. So the third statement is correct.

As the roots are 1 and -7 and the concavity is upwards, the parabola have positive values for x<-7 and x>1. So the fourth statement is correct.

For values of x< -4, the parabola can have both positive or negative values (it has positive values for x < -7) so the fifth statement is wrong.

Answer:

B. The vertex of the function is at (–3,–16).

C. The graph is increasing on the interval x > –3.

D. The graph is positive only on the intervals where x < –7 and where

x > 1.

Answer:

He score lower on the 41 out of 55

Step-by-step explanation:

32/40 = .80 or 80%

41/55 = 0.75 or 75%

Answer:

Lower score in Science

Step-by-step explanation:

32/40 × 100 = 80%

41/55 × 100 = 74 6/12 %

Answer:

7.5 meters long

Step-by-step explanation:

10/2 = 5

15/2 = 7.5

The shadow is half as long as the pole.

hope this helps :)

Answer:

7.5 meters

Step-by-step explanation:

Actual : shadow

10 : 5

15 : X

10/5 = 15/X

X = 15 × 5/10

X = 7.5

First, we have to add them all together to get the total amount of markers.

2 + 1 + 3 + 2 + 2 = 10

Red: 3/10

Yellow: 2/9

3/10 x 2/9 = 6/90

Simplify: 6/90 = 1/15

C. 1/15 would be your answer.

Hope this helps! Have a great day!

Answer:

7.4cm

Step-by-step explanation:

diameter =2radius

=2×4.7

=7.4cm

The diameter of circle A with a radius of 4.7 cm is 9.4 cm.

To find the diameter of a circle, you can use the formula: diameter = 2 * radius. Given that circle A has a radius of 4.7 cm, the diameter would be 2 * 4.7 = 9.4 cm.

https://brainly.com/question/33058442

#SPJ2