Some candy bars are on a plate. Each candy bar is the same size. Nine friends are going to share the candy bars equally. Each friend gets one-half a candy bar. How many candy bars are on the plate? Between what two whole numbers does the amount of candy bars shared lie? Show all your mathematical thinking.

Answer:

1) 1,095

Step-by-step explanation:

[tex]a^{2} +1300^{2} =1700^{2} \\ a^{2} =1700^{2} -1300^{2} \\ =2890000-1690000\\ =1200000[/tex]

[tex]a^{2} =1200000\\ a=\sqrt{1200000} \\ a=1095.4451[/tex]

round to 1,095

Answer:

The answer is 1

Step-by-step explanation:

[tex]a =\sqrt{c^{2} - {b^{2 } \\[/tex]

[tex]a = \sqrt{1700^2 - 1300^2}[/tex]

[tex]a = \sqrt{2890000 - 1690000}[/tex]

[tex]a = \sqrt{1200000}[/tex]

[tex]a = 1095.4451150103[/tex]

Answer:

(11, 13)

Step-by-step explanation:

First Equation: x+y=24

Second Equation: y=x+2

x + (x + 2) = 24

2x + 2 - 2 = 24 - 2

2x/2 = 22/2

x = 11

y = (11) + 2

y = 13

Therefore, the solution to the system is (11, 13)

Answer:

A=584.57

Step-by-step explanation:

Answer: 78

Step-by-step explanation:

The mode is the number that appears the most number of times. In this case the number 78 appears twice unlike the other numbers that only appear once. Hence, 78 is the mode :)

Answer:

78

Step-by-step explanation:

The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

Answer:

[tex]x=-10;x=2[/tex]

Step-by-step explanation:

[tex](x+10)(x-2)=0\\(-10+10)(-10-2)=0\\0(-12)=0\\0=0[/tex]

[tex](x+10)(x-2)=0\\(2+10)(2-2)=0\\0(12)=0\\0=0[/tex]

Answer:

$13.31

Step-by-step explanation:

blehn  b;eoj

Answer:

$13.31

Step-by-step explanation:

First, take the original price and apply the discount of 20% by converting the percentage into a decimal (0.2)

16 x 0.2

= 3.2

Next, take away that amount from the original price

16 - 3.2

= 12.8

Now calculate the tax with the new price by converting the percentage into a decimal (0.04)

12.8 x 0.04

= 0.512

Finally, add the tax to the new amount

12.8 + 0.512

= 13.312

Round if necessary.

Answer:

420

Step-by-step explanation:

volume = length x width x height

12 x 5 x 7 = 420

Answer:

$2,820

Step-by-step explanation:

$14,100.00 / 5= $2,820

Answer:

16,767

Step-by-step explanation:

Geometric sequence formula: an = ar^n-1

Now, we just plug in the values.

an = 23(3)^7-1

an = 23(3)^6

an = 23(729)

an = 16,767

Answer:

n = -3

Step-by-step explanation:

11(n – 1) + 35 = 3n

11n - 11 + 35 = 3n

24 = -8n

n = -3

Answer:

x = 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1. distribute 7 to x and 5.

42 = 7x + 35

2. subtract 35 on both sides.

7 = 7x

3. Divide by 7 for both sides.

1 = x

Answer:

Shaded region is 18.3 units²

Step-by-step explanation:

First find the area of the white triangle.  The base and height of this triangle are both 8.  Thus, the area of the triangle is (1/2)(base)(height), or 32 units.

Next, find the area of the whole circle.  It is πr², which in this case comes

out to π(8 units)² = 64π units².  Realize that (1/4) of this, or 16π units², is the area of the quarter circle that contains the triangle.

To find the shaded area, take the area of the quarter circle (16 π units²) and subtract the area of the triangle (32 units²).

16π units² - 32 units² = 18.3 units²

Shaded region is 18.3 units²

Answer:

[tex]8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\[/tex]

Step-by-step explanation:

from  formula a³ – b³ = (a – b) (a² + ab + b² )

Answer:

The airplane would starts its descent from an altitude 500 feet lower.

Step-by-step explanation:

The x-axis is horizontal and the y-axis is vertical (altitude). It would be 500 feet lower because they took 500 away from the 30,000.

Answer:

d.

Step-by-step explanation:

Answer:

D. $892.50

Step-by-step explanation:

First we find out the interest:

850 * 2.5% = 21.25

Since this is 2 years we multiply the interest by 2.

21.25 * 2 = 42.50

Now we add the interest with the amount borrowed.

850 + 42.50 = $892.50

So, the answer is $892.50 in total.

Hope this helps! :)

Answer:

1 1/6

Step-by-step explanation:

A mixed number is a proper fraction.

Answer:

[tex]1\frac{1}{6}[/tex]

Step-by-step explanation:

We are given the fraction of  [tex]\frac{7}{6}[/tex].

There are enough parts to make one whole, with one remaining.

Six sixths for the whole, the fraction would be one-sixth.

[tex]\frac{7}{6}=1\frac{1}{6}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

V = (4/3)πr3 so put it on a calculator (4/3)3.14 (or Pi) times radius which is r to the 3rd power so your answer would be 33.51 but make sure

Answer:

A

Step-by-step explanation:

It will always go down if you put more wait.

Can I have Brainliest

Answer:

70 1/5 inches or 70.2

Step-by-step explanation:

9x12 is 108 inches

108 divided by 2 is 54 inches

1 inch for every 54 inches

1.3x 54 is 70.2

Answer:

I'd have to say, C: 13

Step-by-step explanation:

Answer:

C. 13 meters

Step-by-step explanation:

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

[tex]c^{2} = 12^{2} + 5^{2}[/tex]

12 x 12 = 144

5 x 5 = 25

[tex]c^{2} = 144 + 25[/tex]

[tex]c^{2} = 169[/tex]

[tex]\sqrt{c^{2} } = \sqrt{169}[/tex]

c = [tex]\sqrt{169}[/tex]

169 ÷ 13 = 13

1 [tex]\sqrt{13 m}[/tex]

Please let me know if this helps!

Answer:

23.9cm^3

Step-by-step explanation:

Answer:

We can’t see the question

Step-by-step explanation:

we need a question to solve for the question

Answer:

48

Step-by-step explanation:

5 songs would equal 12 minutes, right?

5 times what equals 20? It's 4, so you take 12 times 4 since there'd be 4 times as many songs. So, to listen to 20 songs it'd take 48 minutes.

Answer:

f(x)= (x-5)(x+6)

Step-by-step explanation:

First, we find the factors of -30 that add up to +1

We can use 6 and -5

6+(-5)=1

f(x)= x^2+6x - 5x-30

then, we do group factorization

f(x)= x(x+6)- 5(x+6)

f(x)= (x-5)(x+6)

i hope this helps <3

Answer:

m∠C = 26°

m∠D = 108°

m∠E = 46°

Step-by-step explanation:

Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)

(2x) + (x+3) + (5x-7) = 180

Remove the parentheses

2x + x+ 3 + 5x - 7 = 180

Add like terms

8x - 3 -7 = 8x -4 = 180

8x - 4 = 180

Add 4 on each side to cancel it out on the right

8x - 4 = 180

     +4   = +4

8x = 184

Divide each side by 8 to get the variable by itself

8/8 =1    184/8 = 23

x = 23

Substitute x in eac expression

2x = 2(23) = 46°

x + 3 = 23 + 3 = 26°

5x - 7 = 5(23) - 7 = 115 -7 = 108

Chek it by adding all the degrees to make sure it equals 180

46 + 26 + 108 = 72 + 108 = 180

Answer:

Step-by-step explanation:

i am assuming this is  (n+3)^6 if so

729+1458x+1215x^2+540x^3+135x^4+18x^5+x^6

the fifth term is 135x^4

The fifth term of the expression (n + 3)⁶ is 1,215n².

An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem.

The given expression is,

(n + 3)⁶.

To find the fifth term in the expression,

Use binomial expansion method,

[tex](x+y)^n = ^{n}C_0 x^nny^0 + ^nC_1 x^{n-1}y^1 + ^nC_2 x^{n-2} y^2 + ...[/tex]

Use the binomial formula for expression (n + 3)⁶,

[tex](n+3)^6 = ^6C_0n^63^0 + ^6C_1n^53^1 + ^6C_2n^43^2 +^6C_3n^33^3 + ^6C_4n^23^4 + ^6C_5n^13^5 + ^6C_6n^03^6[/tex]

The fifth term of the expression is [tex]^6C_4n^23^4[/tex].

The term [tex]^6C_4n^23^4[/tex] can be simplified as,

[tex]^6C_4n^23^4[/tex] = 15 x n² x 81 = 1215n².

The fifth term of the expression (n + 3)⁶ is 1,215n².

To know more about Binomial theorem on:

https://brainly.com/question/27813780

#SPJ2

Answer:

-15u²

Step-by-step explanation:

[tex]-(4+11)u^{2} \\-15u^{2}[/tex]

same exponent so it can be added together

Answer:

B. Point X

Step-by-step explanation:

Perpendicular Lines meet at a 90° angle.