Work out the area of a rectangle with base, b = 32mm and perimeter, P = 82mm.​

Answer:

Step-by-step explanation:

Slope is the change in y over the change in x.

m = (8 - 6) / (8 - 4) = 2/4 = 1/2

Answer:

1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-8)/(4-8)

m=-2/-4

m=1/2

Explanation:

The mode corresponds directly to the most frequent leaf, ie the leaf that shows up the most. This is because the mode itself is the most frequent value of a list of numbers. Be sure to keep the rows separate. The leaf "5" shows up twice, but it's for two different stems. The leaf "7" is a similar story.

In row two, we have the leaf "4" show up three times which is the most of any leaf for any given stem. Tie that leaf to the stem 2 and we get the value 24.

The mode is 24.

Answer:

2x + y = 18

y = 4x - 12

x = 5,  y = 8

Step-by-step explanation:

x = 1st number

y = 2nd number

We can use the substitution method as we know what 'y' equals; that value will get plugged in for 'y' in the first equation as follows:

2x + 4x - 12 = 18

6x - 12 = 18

6x = 30

x = 5

y = 4(5) - 12 which is 20-12 or 8

y = 8

Answer:

120 planters can be filled with topsoil.

Step-by-step explanation:

Since each planter can hold 1/8th of a bag of topsoil, this means that one bag of topsoil can fill up 8 planters.

15 x 8 = 120, so this means that 120 planters can be filled with topsoil.

:)

Answer: 25%

Step-by-step explanation:

To find percent decrease, you take your final number minus your initial number, over your initial number, so you start with 6-8/8, and get 2/8 or 1/4, then you multiply that by 100, so you get 25. That's your percent decrease.

Answer:

Definitely not equivalent.

Exponent rules state that whenever you multiply terms with the same power, you add the powers together and multiply the coefficients.

x^3*3*3 is equivalent to something like ((x^3)^3)^3 or x^27

x^3 * x^3 * x^3 would be x^3+3+3 or x^9

Answer:

18

Step-by-step explanation:

since the equation of AC is y=x-4 then the length of CB and AB must be the same. therefor its (6*6)/2

Answer:

Abby will earn $510 if she works 60 hours.

Step-by-step explanation:

8 hrs --> $68

1 hr --> 68 × 1/8 = $8.5

So, 60 hrs

= 8.5 × 60

= $510

Answer:

[tex]\huge\boxed{\sf 2x - 16}[/tex]

Step-by-step explanation:

twice a number x = 2x

minus means to subtract (-)

So, twice a number minus 16 is:

= 2x - 16

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Hey there!

Our unknown number is x.

First, "twice x" means we multiply x by 2:

2x

Then, we subtract 16:

2x-16

Therefore, the expression is: 2x-16

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A teen who helps others with a smile on her face

Good luck with your studies. :-)

Answer:

Below in bold.

Step-by-step explanation:

b.

If we drop a perpendicular line from B to AC and mark the point D on AC, we have 2 right triangles, with AD = DC = 16 cm.

So tan O = BD/16 = 15/8

BD = (16*15)/8

= 2*15

= 30.

So the area of triangle ABC = 16*30

= 480 cm^2.

Answer:

Not a function

Step-by-step explanation:

There are two points that correspond to the same variable

Hope this helps

Answer:

not a function

Step-by-step explanation:

There are two points that have the same x and  different y values

This would fail the vertical line test.

Answer:

170 years

Step-by-step explanation:

R/100=2.5%

time= 100=0.025 per year (1/0.025) (5200\1000)-1=168

time=168 years

Answer: 7.7 years

Step-by-step explanation:

Total amount = Principle + Interest = 5200 + 1000 = 6200

A = P(1 + rt)

6200= 5200[1+(0.025)(t)]

6200=5200+130t

-130t=5200-6200

-130t=-1000

t=100/13

t= 7.7 years

Answer:

That is the correct answer

Step-by-step explanation:

AND the whole solution I hope it helps to you

Graph attached

Answer:

Real number

Step-by-step explanation:

Unless it has an i with it then it's an imaginary number but because it doesn't have an i with it it's real

Answer:

real number

Step-by-step explanation:

Hi! -4 is a real number because imaginary numbers are characterized as i= sqrt -1

If you see a number with an i in it, then it is imaginary. In this case, however, we have a real number.

I hope this helps!

Answer:

Reese's puffs Reese's puffs

Answer:

300 divided by 50=6 meters per second

Hope This Helps!!!

Step-by-step explanation:

Solution,

speed = distance traveled ÷ time taken

= 300÷50s

= 6/1

Therefore, speed is 6/1 [6 by 1]

Answer:

a² + 24² = 26² ; a = 10 in.

Step-by-step explanation:

a² + 24² = 26² ; a = 10 in.

((I'm not sure if your choice is wrong.))

Answer:

105⁰

Step-by-step explanation:

Please refer to the attachment.

Hope it helps :)

Answer:

32

Step-by-step explanation:

There are 80 biscuits inside the tin.

Also, they said that those biscuits are in the ratio

Short bread    :      Choc - chip

          2          :        3

Altogether there are 5 shares ( 2 + 3)

And now you can divide 80 by 5 to find how many biscuits contain per a share.

80 ÷ 5 = 16

In the question, they asked us to to find the number of short biscuits inside the tin.

Let us find that.

There are 2 shares for short bread biscuits.

So,

Number of short biscuits ⇒ 2 × 16

                                         ⇒ 32

Hope this helps you :-)

Answer:

multiply the length and the width of a rectangle or a square

Answer:

4(x+2) = 4x + 8

Step-by-step explanation:

because if they are multiplied out it would be 4x+8 = 4x + 8 which means it is infinite because both sides are equal

Answer:

[tex]Both \: the \: moon \: and \: earth \: are \: in \: \\ the \: shape \: of \: spheres. \\ Surface\: area \: of \: a \: sphere \: of \: radius \: 'r' \\ [/tex]

Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.

[tex]given \: d1 = \frac{1}{4}d2 \\ = > 2r1 = \frac{1}{4} ×2r2 \\ =>r1 = \frac{1}{4}×r2 \\ Now, \: ratio \: of \: \: their \: surface \: areas \: is: \\ = s1: s2 \\ = r {1}^{2}: r {2}^{2} \\ = {1}^{2 } : {4}^{2 } \\ =1:16[/tex]

Answer:

look below :)

Step-by-step explanation:

Ok so the formula for the area of a triangle is (l x w) / 2

and the formula for the area of a square is l x w.

The area of the square is 2 x 2 = 4.

so the area of the square = 4cm²

the area of the triangle is 2 x 4 = 8.

8 / 2 = 4

so the area of the triangle is also 4cm².

Hope this helped!

Answer:

- 2 < x < 6

Step-by-step explanation:

- 6 < x - 4 < 2 ( add 4 to each interval )

- 2 < x < 6

Answer: -13

Step-by-step explanation: