Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?

Step-by-step explanation:

To solve both questions you will have to use the Pythagoras theorem

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

c being the hypotenuse

so to find AB we say

[tex] {ap}^{2} = {pb}^{2} + {ab}^{2} [/tex]

To make AB the subject of the formula, we take PB over. Therefore:

[tex] {ab}^{2} = {ap}^{2} - {pb}^{2} [/tex]

now we just substitute

[tex] {ab}^{2} = {13}^{2} - {5}^{2} [/tex]

[tex] {ab}^{2} = 169 - 25[/tex]

[tex] {ab}^{2} = 144[/tex]

square root both sides of the equation

[tex]ab = 12[/tex]

We then use the same formula to find AQ(which is a hypotenuse)

[tex] {aq}^{2} = {ab}^{2} + {bq}^{2} [/tex]

[tex] {aq}^{2} = {12}^{2} + {9}^{2} [/tex]

[tex] {aq}^{2} = 144 + 81[/tex]

[tex] {aq}^{2} = 225[/tex]

square root both sides

[tex]aq = 15[/tex]

Answer:

21.5

Step-by-step explanation:

Make sure they are in order.

A median is basically (or literally) the number in the middle of the data set.

In this case, it is 19 and 24. To get the middle number, you have to:

Add the two numbers and divide them by 2.

19 + 24 = 43

43/2 = 21.5

Answer:

s**t i'ma be real i don'`t know i was doing imagine math and that question poped up on  my quiz and i got it wrong

Step-by-step explanation:

I Don't Know

Answer:

= 570

Step-by-step explanation:

Priority in order:

    (50 x 40 / 4 + 20) + (50 / 2 + 25)

=   (2000 / 4 + 20) + ( 25 + 25)

=   ( 500 + 20) + ( 50 )

=   ( 520 ) + 50

=   520 + 50

=   570

Answer:19.2

Step-by-step explanation:

Answer:

The value of [tex]f(2) - g(7)=-58[/tex]

Step-by-step explanation:

We have

[tex]f(x) = 3 ^ x - 7\\\\f(2) = 3 ^ 2 - 7\\\\=9-7\\\\=2\\\\g(x) = x ^ 2 + 11\\\\g(7) = 7 ^ 2 + 11\\\\=49+11\\\\=60\\\\f(2) - g(7)=2-60\\\\=-58[/tex]

Answer:

OK so a triangle has 3 sides and the perimeter around it is 20.6 cm to find the unknown for the length of a side it would be 20.6 ÷3 which is = to 6.86 to 2 decimal places

Step-by-step explanation:

20.6÷3

= 6.86 cm to 2 dp

Answer: 18:23

Step-by-step explanation:

Answer:

Brainless please?

Step-by-step explanation:

1/3x +7=26

Answer:

2.108*10^3

Step-by-step explanation:

Answer:

  (d)  3/5

Step-by-step explanation:

The equation ...

  [tex]\dfrac{3}{5(x-4)} =\dfrac{x}{x-4}[/tex]

can be rewritten so that each side has the same denominator. Then the solution can be found by equating the numerators.

  [tex]\dfrac{3/5}{x-4} =\dfrac{x}{x-4}\\\\\boxed{\dfrac{3}{5} =x}[/tex]

_____

Additional comment

"Equating the numerators" is equivalent to multiplying both sides by the common denominator. Of course, any value of the variable that makes the denominator zero is excluded from the solution set.

Answer:

Step-by-step explanation:

Answer: 71 percent

Step-by-step explanation:

64-21=43

43/64=.71  

Answer: Where is the question.

Step-by-step explanation: Where is the question.

Answer:

A

Step-by-step explanation:

n is the number.

So n*6=26

Hey there!

Guide:

• Difference = Subtract

• Is = Equal to

• Product = Multiply

• Quotient = Divide

• Sum = Add

• Unknown number = a number that’s isn’t known yet

Question reads….

“ A [PRODUCT] of [a NUMBER] & 6 [is] 26”

RANDOM:

• Product is multiply/multiplication

• A number is unknown so we will label it as “n”

• 6 stays the same because nothing happened to it

• 26 is BEHIND the equal sign but nothing happens to it because nothing is being compared to it

ANSWER:

“n * 6 = 26”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

First, let’s flip the first term.

2^-x = 8^2-x

we can take ^3 out of the 8 to simplify

2^-x = 2^3(2-x)

-x = 3(2-x)

Now we solve for x.

x = 6

Hope this helps!

Answer:

$62,900

Step-by-step explanation:

Answer:

0.677

Step-by-step explanation:Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.

Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.

We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.

An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.

Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.

The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677

Answer:

400 [tex]ft^{2}[/tex] (Don't forget the square symbol!)

Step-by-step explanation:

For the triangle:

Base times height divided by 2.

8 x 25 = 200

200/2 = 100

For the regtangle:

Width times height.

25 x 12 = 300

Add them together, and you get:

100 + 300 = 400.

Answer:300

Step-by-step explanation:25*12=300

25

x12

50

250+50=300

Answer:

116.55$

Step-by-step explanation:

[tex]259 \times \frac{45}{100} = 116.55[/tex]

Answer:

Step-by-step explanation:

4x = 3yz^2

4x/3y = z^2

To undo an exponent you root it.

[tex]\sqrt{4x/3y} = z[/tex]

I believe this is it. you basically just have to divide by the numbers to get z by itself. If you have any questions please comment.

Answer: 6

Step-by-step explanation:

3

1

​

a−1−

2

1

​

b

=

3

1

​

⋅12−1−

2

1

​

⋅6 Replace a with 12 and b with 6.

=4−1−3

=0

​

8.722 / (-3.56)

Expand [tex]\frac{8.722}{-3.56}[/tex] by multiplying both numerator and denominator by 1000.

[tex]\frac{8722}{-3560}[/tex]

Reduce the fraction [tex]\frac{8722}{-3560}[/tex] to the lowest terms by extracting and cancelling out 178.

-[tex]\frac {49}{20}[/tex] = -2.45

Answer:

are we doing ur homework

Step-by-step explanation:

Hello there! :)

We are given that the line passes through the point (4,5) and that it's perpendicular to the line y=2x-3.

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, make it negative, and flop it over:

2

-2

-1/2

So the slope of the line perpendicular to y=2x-3 is -1/2.

Now, we have the slope and a point that the line passes through, so we can write the equation in point-slope form, which looks like so:

y-y1=m(x-x1)

Where

y1 is the y-coordinate of the point

m is the slope

x1 is the x-coordinate of the point

Now, let's plug our values into the equation:

y-y1=m(x-x1)

y-5=-1/2(x-4)

y-5=-1/2x+2

y=-1/2x+2+5

y=-1/2x+7

Hence, that is the equation of the line.

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.