5. Running shoes are regularly priced at $80. They were on sale for $46. What was the discount
expressed as a percent of the regular price?​

The tenth value is 15

Solution:

Given that, data set has 9 values

The mean of the set is 5

Number of values = 9 and mean = 5

The mean is given by formula:

[tex]mean = \frac{\text{Sum of terms}}{\text{Number of terms}}[/tex]

[tex]5 = \frac{\text{Sum of 9 terms}}{9}\\\\sum\ of\ 9\ terms = 5 \times 9 = 45[/tex]

When a tenth value is added, the mean becomes 6

Let the tenth value be "x"

New mean is given as:

[tex]6 = \frac{\text{sum of 9 terms} + x}{10}\\\\sum\ of\ 9\ terms + x = 60[/tex]

The tenth value is given as:

sum of 9 terms + x = 60

45 + x = 60

x = 60 - 45

x = 15

Thus the tenth value is 15

Answer:

whats the answer lol

Step-by-step explanation:

The expression that represents the points of Smith Elementary School scored is x - 30

Step-by-step explanation:

Let us revise some words that means operations in mathematics

∵ Smith Elementary School scored 30 less points in their

   track meet than Jones Elementary School

- That means the score of Smith Elementary School is less than

   the score of Jones Elementary School by 30

∵ Jones Elementary School scored x points

- Subtract 30 from x to find the score of Smith Elementary School

∴ Smith Elementary School scored = x - 30

The expression that represents the points of Smith Elementary School scored is x - 30

Learn more:

You can learn more about the expressions in brainly.com/question/13087541

#LearnwithBrainly

Answer:

x-30

Step-by-step explanation:

We know that Jones Elementary has x points. If Smith Elementary has 30 less points then we should subtract 30 from x to get x-30.

Answer:

Part 5) Option b [tex]2x\sqrt{3}\ ft[/tex]

Part 6) Option d. [tex]4y\sqrt[3]{2}\ mm[/tex]

Step-by-step explanation:

Part 5) we know that

The area of a square is equal to

[tex]A=b^2[/tex]

where

b is the length side of the square

we have

[tex]A=12x^2\ ft^2[/tex]

substitute

[tex]12x^2=b^2[/tex]

Solve for b

take square root both sides

[tex]b=\sqrt{12x^{2}}[/tex]

Remember that

[tex]12=(2^2)(3)[/tex]

substitute

[tex]b=\sqrt{(2^2)(3)x^{2}}[/tex]

Applying property of exponents

[tex]b=\sqrt{(2^2)(3)x^{2}}=[(2^2)(3)x^{2}]^{\frac{1}{2}}=[2^2x^2]^{\frac{1}{2}}3^{\frac{1}{2}}=2x\sqrt{3}\ ft[/tex]

Part 6) we know that

The volume of a cube is equal to

[tex]V=b^3[/tex]

where

b is the length side of the cube

we have

[tex]V=128y^3\ mm^3[/tex]

substitute

[tex]128y^3=b^3[/tex]

Solve for b

take cubic root both sides

[tex]b=\sqrt[3]{128y^3}[/tex]

Remember that

[tex]128=(2^7)=(2^6)(2)=(2^2)^3(2)[/tex]

substitute

[tex]b=\sqrt[3]{(2^2)^3(2)y^3}[/tex]

Applying property of exponents

[tex]b=\sqrt[3]{(2^2)^3(2)y^3}=[(2^2)^3(2)y^3]^{\frac{1}{3}}=[(2^2)^3y^3]^{\frac{1}{3}}2^{\frac{1}{3}}=2^2y\sqrt[3]{2}=4y\sqrt[3]{2}\ mm[/tex]

Written out, that would be 4x - 2 = 5.

To solve, add 2 and then divide by 4:

4x = 7

x = 7/4

Answer:

7/4

Step-by-step explanation:

X = a number

Four times a number

4X

Four times a number,decreased by two

4X - 2

Four times a number,decreased by two is five.

4X - 2 = 5

4X = 5 + 2 = 7

X = 7/4

Answer:

2*2*9+4*12*3=36+144=180

Step-by-step explanation:

Hey there!

-3x(4x + 3) + 5x

= -3x(4x) + -3x(3) + 5x

= -3x(4x) - 3x(3) + 5x

= -3x(4x) + 3(-3x) + 5x

= -12x^2 + 3(-3x) + 5x

= -12x^2 - 9x + 5x

= -12x^2 - 4

Therefore, your answer is: -12x^2 - 4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

all work is shown and pictured

Answer:

Step-by-step explanation:

Let, the three islands A, B and C has a, b and c houses respectively.

According to the question, a + b = 15; a + c = 17; b + c = 12; a + b + c = 22.

Adding [ a + b = 15; a + c = 17]-these two, we get, [tex]a + (a + b + c) = 15 + 17 = 32\\a + 22 = 32\\a = 10[/tex].

Now, [tex]a + b = 15\\10 + b = 15\\b = 5[/tex].

[tex]a + c = 17\\10 + c = 17\\c = 7[/tex].

Answer:

$320

Step-by-step explanation:

To find the answer to this you would need to multiply the price by 2 so that you may find out what double the half of price would be, so in theory you and doing the reciprocal.

Answer:

y=3/2x + 1

•••••••••••••

5/20=x/36

1/4=x/36

x=9

9 minutes.

Final answer:

To determine the time Bob spends running, a proportion is set up based on the original 5:20 running to dribbling ratio. Solving this proportion shows that Bob runs for 9 minutes when he spends 36 minutes dribbling.

Explanation:

Bob's practice ratio for running and dribbling is 5 minutes running to 20 minutes dribbling. To find how many minutes Bob spends running when he practices dribbling for 36 minutes, we set up a proportion using the original ratio. The proportion is:

5 minutes running / 20 minutes dribbling = x minutes running / 36 minutes dribbling

To solve for x, we cross-multiply:

(5 minutes running) × (36 minutes dribbling) = (x minutes running) × (20 minutes dribbling)

This gives us:

180 = 20x

Now divide both sides by 20 to solve for x:

x = 180 / 20

x = 9 minutes

Thus, Bob spends 9 minutes running when he practices dribbling for 36 minutes.

Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.

Step-by-step explanation:

Lets define independent and dependent events first.

Independent events:

The events are said to be independent if the probability of occurrence of one event doesn't affect the probability of second event.

Dependent events:

The events in which the probability of occurrence of one event affects the second event's probability of occurrence, are called dependent events.

Now,

When a card is drawn from a deck of cards and NOT replaced, it makes the second event's probability depend on first event as the sample space for second event changes due to the first event.

Hence,

Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.

Keywords: Probability, dependent events

Learn more about probability at:

#LearnwithBrainly

Step-by-step explanation:

[tex](x,\ y)\\\\x\in\text{Domain}\\\\y\in\text{Range}\\\\(6,\ 1),\ (-1,\ -8),\ (3,\ 5),\ (9,\ 1)\\\\\text{Domain}=\{-1,\ 3,\ 6,\ 9\}\\\text{Range}=\{-8,\ 1,\ 5\}\\\\\text{This relation is a function because each x is assigned one value of y.}[/tex]

Answer:

Yes, this relation is a function.

Step-by-step explanation:

Take the first element from each ordered pair to obtain the domain:

(6, -1, 3, 9).  Since the inputs are all unique (no duplication), the relation is a function.

Answer:

x = 7/4 = 1.75

Step-by-step explanation:

Hello - so you don't seem to have shown what the calculator screen displays, however I can assume it will show a graph of the two lines, and their intersection point. The x-co-ordinate of this intersection point is the solution to the equation.

As I can't see the calculator, I will also show you how to work out the solution for x:

3x - 1 = 6 -x

4x -1 = 6

4x = 7

x   = 7/4  = 1.75

Answer:

x = -6

=b=6=

Step-by-step explanation:

Answer:

Step-by-step explanation:

Incomplete question!

Answer:

L = 2w

A = L*W

A = 2w*w

A = 2w^2

Step-by-step explanation:

Final answer:

The area of the rectangle garden as a function of its width w is  [tex]A(w) = 2w^2[/tex], where the length is twice the width of the garden.

Explanation:

The landscaper wishes to make a rectangle flower garden where the length is twice the width. If we denote the width as w and the length as 2w, we can express the area A as a function of its width.

The formula for the area of a rectangle is length × width, so the area function A(w) would be:

A(w) = length × width
    = 2w × w
    = [tex]2w^2[/tex]

So, the area of the garden as a function of its width is [tex]A(w) = 2w^2.[/tex]

Answer:

10.44

Step-by-step explanation:

okay so percentages can be converted to decimals

to do this, you can either:

move the decimal space to the left twice

or

divide the percentage (in this case 58) by 100,

regardless you will get the same answer

58.0 → 5.80 → 0.58

now that you have 58% as a decimal, all you have to do is multiply it by 18

(0.58)(18) = 10.44

therefore, 58% of 18 is 10.44

Final answer:

To calculate 58% of 18, convert the percentage to a decimal (0.58) and multiply it by 18, resulting in 10.44.

Explanation:

To find what 58% of 18 is, we use the concept that 'percent' means 'per hundred' or 'out of 100'. So essentially, we need to find 58 out of every 100 parts of 18. This calculation can be represented by the mathematical expression 0.58 x 18 (since 58% as a decimal is 0.58). The steps to solve this are:

So, 58% of 18 is 10.44.

Answer:

Step-by-step explanation:

As we Know that formula for arithmetic sequence is

[tex]a_n=a_1+(d-1)[/tex]

and for geometric sequence is

[tex]a_n=a1*r^(n-1)[/tex]

So,

According to given conditions

     [tex]a+7d=a*r^5 (i)\\ a+19d=a*r^7 (ii)[/tex]

By dividing equation (i) and (ii)

Hence proved that

[tex]r^2=a+19d/a+7d[/tex]

Answer:

Step-by-step explanation:

5 / (3/4) =

5 * 4/3 =

20/3 <==== I left it as an improper fraction

Answer:

Part 1) x=5

Part 2) x=2

Step-by-step explanation:

The question is solve for x

Part 1) we have

[tex]x+3x=x+x+10[/tex]

Combine like terms both sides

[tex]4x=2x+10[/tex]

subtract 2x both sides

[tex]4x-2x=10\\2x=10[/tex]

divide by 2 both sides

[tex]x=5[/tex]

Part 2) we have

[tex]2x+3+3x=x+11[/tex]

Combine like terms left side

[tex]5x+3=x+11[/tex]

subtract x both sides

[tex]5x+3-x=11\\4x+3=11[/tex]

subtract 3 both sides

[tex]4x=11-3\\4x=8[/tex]

divide by 4 both sides

[tex]x=2[/tex]

Option B

The second term of sequence is -9

Solution:

Given that,

[tex]a(1)= -13\\\\a(n) = a(n-1) + 4[/tex]

We have to find the second term of sequence

To find the second term of sequence, substitute n = 2 in given recursive formula

Plug in n = 2 in above equation

[tex]a(2) = a(2-1) + 4\\\\a(2) = a(1) + 4[/tex]

Substitute a(1) = -13

[tex]a(2) = -13 + 4\\\\a(2) = -9[/tex]

Thus the second term of sequence is -9

Answer:

290.

Step-by-step explanation:

36.25 x 8

Good morning,

Answer:

[tex]\frac{\sqrt{3} }{2} a[/tex]

Step-by-step explanation:

h = altitude

side = a

using Pythagorean theorem: in the right triangle:

h² = a² - (a/2)²

    = a² - a²/4

    = 3/4a²

    = [(√3/2)×a]²

⇒ h = (√3/2)×a.

:)

Answer:

she got 9 out of 10 correct on the test so 90% correct, which only leave 10% left to have 100%.

so she got 10% wrong

Step-by-step explanation:

Answer:

1 out of ten or 10 percent { :

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes

Answer: x = 10

Explanation: To solve this equation for x, we start by distributing the 2 through the parentheses on the left side.

So we have 2 times x which is 2x and 2 times -3 which is -6. So our equation now reads 2x - 6 = 14.

Solving from here,

we add 6 to both sides of the equation and we have 2x = 20 and dividing both sides by 2, we find that x = 10.

We can check our answer by substituting a 10 back in for x in the original equation and we have 2(10 - 3) = 14.

10 - 3 is 7 so we have 2(7) = 14 or 14 = 14 which is a true statement so our answer checks.

Answer:2.5 or 2 with the remainder of 20

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

If you are asking what 100 divided by 40 is, that is the answer. (I'm not really sure how to explain it. Just type in 100 divided by 40 into your calculator)

Hope this helps!

-Coconut;)

Answer:

2y-4x

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

y=2x-5

Putting the value of y in 2y-4x

2(2x-5)-4x

4x-10-4x

0-10

-10