Find median of the data. 14, 18, 16, 122, 22, 19, 12

Answer:

256

Step-by-step explanation:

Assuming that the length of his garage is the longer dimension (16), the area of the square yard must be 16*16=256 square units. Hope this helps!

Answer:

d. 2.4 in

Step-by-step explanation:

So initially w/o frame the area was 5 x 7 = 35 sq in.

Now we have to add the width of the frame to both dimensions.

(5+w)(7+w) = 69.56 sq in

35 + 7w + 5w + w² = 69.56

w² + 12w + 35 = 69.56

w² + 12w - 34.56 = 0

I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)

w = 2.4

w = -14.4

Since we can't have a negative width, the answer must be w = 2.4 inches.

You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.

Answer:  d) 2.4 inches

Step-by-step explanation:

Let x represent the width of the frame

Then the area of the frame is:

(x + 5)(x + 7) = 69.56

Rewrite it in Standard form of a quadratic equation:

x² + 12x + 35 = 69.56

x² + 12x - 34.56 = 0

Use Quadratic Formula to solve for x:

[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-12+\sqrt{12^2-4(1)(-34.56)}}{2(1)}\\\\\\x=\dfrac{-12+\sqrt{282.24}}{2}\\\\\\x=\dfrac{-12+16.6}{2}\\\\\\x=\dfrac{4.8}{2}\\\\\\x=\large\boxed{2.4}[/tex]

Answer:

Anna spent $51 in all.

Step-by-step explanation:

36+15=51

Answer:

$51

Step-by-step explanation:

Anna bought two items: a backpack and a lunch box. If we want to find the total amount of money Anna spent, we have to add the price of the backpack and the price of the lunchbox.

price of backpack+price of lunchbox

The backpack cost $36 and the lunchbox cost $15

$36+$15

Add 36 and 14

$51

Anna spent $51 in total

Answer:

25

Step-by-step explanation:

Mia is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points. What would be Mia's test score (out of 50) if she got 3 questions wrong? What would be her score if she got xx questions wrong?

Answer:

$38

$56

Step-by-step explanation:

Answer:

18 miles= how many feet

____95,040_____feet

Step-by-step explanation:

happy to help ya:)

Answer:

please give more clarification

Answer:

Walk: 240

Ride 160

Car 100

Rest 300

Step-by-step explanation:

Walk:

30%

.30 * 800 = 240

Ride

20%

.20 * 800 =160

Car

12.5%

.125 * 800 =100

Rest

100-30-20-12.5 =37.5

.375 * 800 = 300

Answer:

[tex]\large \boxed{\text{22.07 m}}[/tex]

Step-by-step explanation:

The formula for the volume (V) of a sphere is:

V = ⁴/₃πr³

We can use this equation to calculate the radius (r).

[tex]\begin{array}{rcl}45001 & = & \dfrac{4}{3} \pi r^{3}\\\\33750 & = &\pi r^{3}\\10740 & = &r^{3}\\r & = & \textbf{22.07 m}\\\end{array}\\\text{The radius of the great circle is $\large \boxed{\textbf{22.07 m}}$}[/tex]

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Quadratic equations have the highest degree on x as 2 (a squared value). The given equation has x^3 (assuming x3 is x^3 and not 3x), meaning that the equation is a cubic equation.

Answer:

30%

Step-by-step explanation:

Profit(Gain)% = [tex]\frac{Selling price - Cost price}{Cost price} * 100%[/tex]

Selling price = N6.50

Cost price = N5

∴ Profit% = [tex]\frac{N6.50 - N5 }{N5} * \frac{100}{1}[/tex]

                 = [tex]\frac{1.5}{5} * \frac{100}{1}[/tex]

                 = (1.5 * 20)%

                 = 30%

Hope this helps!!!

Answer:

8t+4=76

Step-by-step explanation:

An equation needs an equals sign otherwise it is an expression

Answer:

10/4 = [tex]\frac{10}{4}[/tex]

Step-by-step explanation:

Answer: Go and do something :)

Step-by-step explanation:

Get off your phone and get the motivation to fo and find something to do for now :)

Answer:

That would be 3.455

Step-by-step explanation:

3.45 bar means the 45 at the back is repetitive.

So we have something like;

3.454545454

Now writing this to three decimal places becomes 3.455

Answer:

[tex] \boxed{\sf Area \ of \ the \ rectangle = (8x + 56) \ square \ feet} [/tex]

Given:

Length = 8 feet

Width = (7 + x) feet

To find;

Area of the rectangle

Step-by-step explanation:

[tex] \sf Area \: of \: the \: rectangle = Length \times Width \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \times (7 + x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8 \times 7) + (8 \times x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 56 + 8x\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8x + 56) \: square \: feet[/tex]

Answer:

The price of the regular gasoline is $2.46, while the premium is $2.67.

Step-by-step explanation:

Let the price of regular gasoline be "x", while the price for the premium be "y", The sum of the amount of each type of gas multiplied by its cost should be equal to the total paid, therefore:

[tex]8*x + 8*y = 41.04[/tex]

We also know that the premium gas costs 0.21 more than the regular one, therefore:

[tex]y = x + 0.21[/tex]

We can apply the second expression on the first, in order to solve for "x".

[tex]8*x + 8*(x + 0.21) = 41.04\\8*x + 8*x + 1.68 = 41.04\\16*x = 41.04 - 1.68\\16*x = 39.36\\x = \frac{39.36}{16} = 2.46[/tex]

[tex]y = 2.46 + 0.21 = 2.67[/tex]

The price of the regular gasoline is $2.46, while the premium is $2.67.

Answer:

y = 5

Step-by-step explanation:

y + 6 = –3y + 26

Add 3y to each side

y+3y + 6 = –3y+3y + 26

4y +6 = 26

Subtract 6 from each side

4y+6-6 = 26-6

4y = 20

Divide by 4

4y/4 = 20/4

y = 5

The solution of y in the equation y + 6 = - 3y + 26 is,

⇒ y = 5

We have to given that;

Expression is,

⇒ y + 6 = - 3y + 26

Now, We can simplify as;

y + 6 = - 3y + 26

Add 3y to each side

y + 3y + 6 = - 3y + 3y + 26

4y + 6 = 26

Subtract 6 from each side

4y + 6 - 6 = 26 - 6

4y = 20

Divide by 4

4y/4 = 20/4

y = 5

Thus, The solution of y in the equation y + 6 = - 3y + 26 is,

⇒ y = 5

Learn more about the equation visit:

brainly.com/question/28871326

#SPJ6

Answer:

The original price drops by 15%.

Step-by-step explanation:

What was the drop in price?  To answer that, subtract $21.25 from $25, which results in $3.75.

Now compare $3.75 to the original price, $25, through division, as follows:

   $3.75

-------------- * 100% = 15%

     $25

The original price drops by 15%.

Answer:

40 millimetres

Answer:

40

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

-3x+14=4x-7

-3x going to right and -7 is going to left and change sign

14+7=4x+3x

21=7x

21/7=3 , x=3

Answer:

-The value of [tex]x[/tex]:

[tex]x = 3[/tex]

Step-by-step explanation:

-Solve for the value of [tex]x[/tex]:

[tex]-3x + 14 = 4x - 7[/tex]

-Subtract both sides by [tex]4x[/tex] and combine [tex]-3x[/tex] and [tex]-4x[/tex] together:

[tex]-3x + 14 - 4x = 4x - 4x - 7[/tex]

[tex]-7x + 14 = -7[/tex]

-Subtract both sides by [tex]14[/tex]:

[tex]-7x + 14 - 14 = -7 -14[/tex]

[tex]-7x = -21[/tex]

-Divide both sides by [tex]7[/tex]:

[tex]\frac{-7x}{-7} = \frac{-21}{-7}[/tex]

[tex]x = 3[/tex]

So, the final answer is [tex]x = 3[/tex].

Answer:

3*3 *7

Step-by-step explanation:

63 = 9*7

7 is prime but 9 is not

Break 9 into its factors

     = 3*3 *7

All of these are prime

Answer:3x3x7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just did it on edge

Answer:

what is the question I do not understand

Answer:

48 years.

Step-by-step explanation:

Consider the complete question is "The ratio of ages of kissi and esinam is 3:5 and that of esinam and lariba is 3:5. The sum of ages of all 3 is 147 years. whats the age difference between oldest and youngest ?"

It is given that

Kissi : Esinam = 3:5 = 9:15

Esinam : Lariba = 3:5 = 15:25

So, the combined ratio is Kissi : Esinam : Lariba = 9:15:25

Let ages of Kissi, Esinam, Lariba are 9x, 15x and 25x.

Sum of ages of all 3 is 147 years.

[tex]9x+15x+25x=147[/tex]

[tex]49x=147[/tex]

[tex]x=3[/tex]

The value of x is 3. So, the age of all three are

[tex]Kissi=9x=9(3)=27[/tex]

[tex]Esinam=15x=15(3)=45[/tex]

[tex]Lariba=25x=25(3)=75[/tex]

Since Lariba is oldest and Kissi is youngest, therefore, the difference between their ages is

[tex]75-27=48[/tex]

Hence, difference between oldest and youngest is 48 years.

Answer:

[tex] P(t_{16}>2.583)[/tex]

And for this case we can use the complement rule and we got:

[tex]P(t_{16}>2.583)= 1- P(t_{16} <2.583)[/tex]

And if we use the t- table with df =16, we got:

[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]

Step-by-step explanation:

For this case we know that the degrees of freedom are given:

[tex] df = n-1= 16[/tex]

And we want to find the following probability:

[tex] P(t_{16}>2.583)[/tex]

And for this case we can use the complement rule and we got:

[tex]P(t_{16}>2.583)= 1-P(t_{16} <2.583)[/tex]

And if we use the t-table with df =16, we got:

[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]

Answer:

B. 32

Step-by-step explanation:

5+3=8

8×4=32

// have a great day //

Answer:

65/97 = 0.67

Step-by-step explanation:

using trigonometric ratios

Cosine of angle = [tex]\frac{adj}{hyp}[/tex]

Answer:

Step-by-step explanation:

x+x-32=180

2x-32=180

2x=180+32

2x=212

x=106

x-32=>106-32=74

Answer:

5 meters

Step-by-step explanation:

The perimeter of a rectangle can be expressed as 2l+2w.

2l+2w=50

l=w+15

Substitute:

2(w+15)+2w=50

2w+30+2w=50

4w+30=50

4w=20

w=5

Hope this helps!

Answer:

x = 30°

Step-by-step explanation:

Donde 2θ - Φ = 60 °, tenemos;

∠QMN = ∠QPM

Ф + ∠P / 2 + (180 - θ) = 180 (Suma de ángulos en un triángulo ΔQLP)

Por lo tanto, Ф + ∠P / 2 - θ = 0

Por lo tanto, ∠P / 2 = θ - Ф, también

270 ° + θ + x + ∠P / 2 = 360 (Suma de ángulos en un NOLP cuadrilátero) da

270 ° + θ + x + θ - Ф = 270 ° + 2 · θ - Ф + x = 360

Como 2 · θ - Ф = 60 °, tenemos;

270 ° + 60 + x = 360

x = 360 - 270 - 60 = 30 °

Answer:

A. 25°

Step-by-step explanation:

25° is really the only logical answer.