Kayleigh is making goodie bags for people at school. She has 54 sour candy, 60 pieces of chocolate, and 12 fruit chews. She wants to put all three things in each bag. What is the greatest amount of goodie bags she can make if she wants each bag to have identical amounts of candy?

The digit that could be the value of P is 2

If (2^p + 1) is a prime number, which one of the following digits could be the value of p?

A. 2

B. 3

C. 5

D. 6

The expression is given as:

2^p + 1

Next, we make use of the options to determine which value of p results giving the equation a prime value.

So, we have:

A. p = 2

2^2 + 1= 5 ---- prime number

B. p = 3

2^3 + 1= 9 --- composite number

C. p = 5

2^5 + 1= 33 --- composite number

D. p = 6

2^6 + 1= 65 --- composite number

Hence, the digit that could be the value of P is 2

Read more about prime numbers at:

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Answer:

17 (17.027)

Step-by-step explanation:

BC : EF = 30:37

so if

30/ x = 37/21

x = AC.

cross multiply then isolate variable

Answer:

11 m= 3      12 slope is 4 and y intercept is 2

Step-by-step explanation:

11 slope = gradient of a line                            formulae        y2-y1  / x2 - x1  

12-6 / 4-2 =3                                

12 slope is the gradient so and is found as m in the equation y=mx + c

so 4 is the slope and the y intercept is where x= 0 so y = 2

Answer:

2 units

Step-by-step explanation:

Answer:

4.33 infinity.

Step-by-step explanation:

The infinity should just be a line over the 3's

Answer:

4.33

Step-by-step explanation:

First, find the mean value.

Mean = 67

61 - 67 = |-6| = 6

63 - 67 = |-4| = 4

64 - 67 = |-3| = 3

68 - 67 = 1

70 - 67 = 3

76 - 67 = 9

Add: 6 + 4 + 3 + 1 + 3 + 9/6 = 4.33333333333

4.33333333333 rounded to the nearest hundredth = 4.33

Answer:28% of classmates chose chocolate over vanilla28%

Step-by-step explanation: hope this helps

Answer:

x+6 and x+2 are factors

Step-by-step explanation:

x²+8x+12

(x+6)(x+2)

So x+6 and x+2 are factors of x²+8x+12

Answer:

b

Step-by-step explanation:

Answer:

<

A

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

3)

perpendicular

parallel

perpendicular

parallel

4)

parallel

perpendicular

parallel

Answer:

x = 19

Step-by-step explanation:

[tex]\sqrt[2]{x-3^3}[/tex] = 64

[tex]\sqrt[2]{x-3^3}[/tex] = 4³

multiply each side by the exponent 2/3 so the radical sign on left is removed

([tex]\sqrt[2]{x-3^3}[/tex])^2/3 = (4³)^2/3

x - 3 = 4²

x - 3 = 16

x = 19

Answer:

Step-by-step explanation: x^(105)-x^(3m)=0

Answer:

15% decrease

Step-by-step explanation:

First - 322,000

Years later - 273,700

Therefore, (322000 - 273700)/322000 = 0.15

0.15 * 100 = 15%

Mark me brainliest :))

Answer:

87

Step-by-step explanation:

Answer: 1.85€, 0.5€

Step-by-step explanation:

Given

Peter bought 5 pens and 8 pencils which costs 13.25€

The pencil is 1.35€ cheaper than the pen

Suppose the price of a pen and pencil is x and y

So, we can write

[tex]\Rightarrow 5x+8y=13.25\quad \ldots(i)\\\Rightarrow x-y=1.35\quad \ldots(ii)[/tex]

Solving the above equations, we get

[tex]x=1.85,y=0.5[/tex]

Therefore, the price of a pen and pencil are 1.85€ and 0.5€.

I hope this helps you

if there two acut angles that add to form a right angle) 90°).

4x+2x+6=90

6x=84

x=14°

complement angle meabs 90° so,

90° - 48°

= 42°

hence the complement angle of 48° is 42°

Answer:

B

Step-by-step explanation:

I am smart

Answer:

B

Step-by-step explanation:

A translation is a type of transformation that moves each point in a figure the same distance in the same direction.

Answer:

Step-by-step explanation:

Profit, P(x), is the difference between revenue, R(x), and cost, C(x)

R(x) = 2x^4 - 3x^3 + 2x - 1

C(x) = x^4 -x^2 + 2x + 3

Substituting into the equation

P(x) = R(x) - C(x)

= (2x^4 - 3x^3 + 2x - 1) - (x^4 -x^2 + 2x + 3)

= x^4 - 3x^3 + x^2 - 4

The answer is the lower left option.

Answer:

[tex]P(x)=x^4-3x^3+x^2-4[/tex]

(This is the option found in the lower-left corner)

Step-by-step explanation:

When given the following functions,

[tex]R(x)=2x^4-3x^3+2x-1[/tex]

[tex]C(x)=x^4-x^2+2x+3[/tex]

The problem asks one to find ([tex]P(x)[/tex]), moreover, one is given the following information,

[tex](P(x))=(R(x))-(C(x))[/tex]

Substitute,

[tex]P(x)=(2x^4-3x^3+2x-1)-(x^4-x^2+2x+3)[/tex]

Simplify, multiply everything in the second parenthesis by the negative sign outside of it,

[tex]P(x)=2x^4-3x^3+2x-1-x^4+x^2-2x-3[/tex]

Combine like terms, only operations between coefficients of the same variable with the same degree (exponent) can be performed,

[tex]P(x)=x^4-3x^3+x^2-4[/tex]

Answer:

5625in²

Step-by-step explanation:

Area=3.14r2

625=r²

r=25in

25x3=75

75²x3.14

Answer:

6

Step-by-step explanation:

to get cups to servings multiply by 3

if you need 18 servings then divide by 3

9514 1404 393

Answer:

  base: 4 units; height: 3 units

Step-by-step explanation:

It is easy enough to count the grid squares to see how many units long each side is. Similarly, the distance from the point to the base can be counted on the graph.

The square pyramid has a base that is 4 units on each side. The height of each triangular face is 3 units.

9514 1404 393

Answer:

  32 ft^2

Step-by-step explanation:

The area can be figured several ways. Here are two of them.

__

Add components

The figure can be divided into two smaller rectangles, (b) and (d) in the attached drawing. The area of each is the product of its dimensions.

  Area b = (4 ft)(3 ft) = 12 ft^2

  Area d = (10 ft)(2 ft) = 20 ft^2

Area of the figure is Area b + Area d = 12 ft^2 + 20 ft^2 = 32 ft^2.

__

Subtract white space

The figure is bounded by an overall rectangle that is 10 ft wide and 5 ft high. The area of that rectangle is

  Area a+b+c+d = (10 ft)(5 ft) = 50 ft^2

The area of whitespace 'a' is ...

  Area a = (3 ft)(3 ft) = 9 ft^2

Area c has the same dimensions, so the same area. The area of the figure is the area of the bounding rectangle less the area of the two corner white spaces (a) and (c).

Area of the figure is ...

  Area a+b+c+d -Area a -Area c = 50 ft^2 -9 ft^2 -9 ft^2 = 32 ft^2.

The answers of statements along with their reasons are given as follows

1.) AE bisects BD

2.) BC is congruent to CD

3.) Angle 1 is equal to Angle 2

4.) AC is congruent to CE

5.) Triangle ABC is congruent to Triangle EDC

Answer:

500n 60n

Step-by-step explanation:

Answer:

B

Step-by-step explanation: