Melissa owns a catering company . For lunch and dinner parties , she serves appetizers before each meal. The number of appetizers Melissa serves is directly proportional to the number of guests at the party. For lunch parties, she serves 3 appetizers per guest. For dinner parties, she serves 5 appetizers per guest. When serving 22 guests, what is the difference of the number of appetizers she serves for dinner and the number of appetizers she serves for lunch?

Answer:

[tex]log_4(\frac{1}{4^5}) = -5[/tex]

Step-by-step explanation:

[tex]log_b(a) = c[/tex] ↔ [tex]b^c = a[/tex]

You are given [tex]b[/tex] = 4

You re also given [tex]c[/tex] = -5

To find a, use the exponential form:

[tex]b^c = a[/tex]

[tex]= (4)^{-5} = \frac{1}{4^5} = a[/tex]

Then you can convert into a logarithm.

[tex]log_4(\frac{1}{4^5}) = -5[/tex]

Answer:

There are multiple ways of writing this:

[tex]\sf -5log_4(4)=log_4(4^{-5})=log_4\left(\dfrac{1}{4^5}\right)=log_4\left(\dfrac{1}{1024}\right)[/tex]

Step-by-step explanation:

Log rule:  [tex]\sf log_a(a)=1[/tex]

[tex]\sf \implies log_4(4)=1[/tex]

[tex]\sf \implies -5log_4(4)=-5[/tex]

Log rule:  [tex]\sf c \cdot log_ab=log_a(b^c)[/tex]

[tex]\sf \implies -5log_4(4)=log_4(4^{-5})[/tex]

                       [tex]\sf = log_4\left(\dfrac{1}{4^5}\right)[/tex]

                       [tex]\sf = log_4\left(\dfrac{1}{1024}\right)[/tex]

Answer:

He should have got 40

Step-by-step explanation:

680 / 45 = 15.11

45 x 16 = 40

Answer:

It can produce about 86 candy.

Step-by-step explanation:

434 divided by 5 = 86 with a remainder of 0.8

Area of the rectangle inside:-

Area of the rectangle outside

Area of the deck:-

Answer:

pretty sure it's D for this question

-3 : 5 = - 0,6

so it will be - 4/5  (= - 0,8)

Answer: [tex]56.25\pi[/tex]

Step-by-step explanation:

The circumference of a circle can be found using [tex]d\pi[/tex], where d is the diameter. In this case, we can clearly see the diameter is 15.

Next, we must find the radius as the formula for the area of a circle is [tex]\pi r^2[/tex]

The radius is half of the diameter. [tex]\frac{15}{2} =7.5[/tex]

Now sub in this value for the formula of the area of a circle

[tex]\pi r^2\\\\\pi (7.5)^2\\\\56.25\pi[/tex]

Answer:

56.25[tex]\pi[/tex]

Step-by-step explanation:

circumference=2[tex]\pi r[/tex]

15[tex]\pi[/tex]=2[tex]\pi r[/tex]

r=7.5

Area=[tex]\pi r^{2}[/tex]

       =[tex]\pi * 7.5^{2}[/tex]

       = 56.25[tex]\pi[/tex]

[tex]3 \frac{3}{5} + 1 \frac{1}{6} = \\ [/tex]

[tex] \frac{(3 \times 5) + 3}{5} + \frac{(1 \times 6) + 1}{6} = \\ [/tex]

[tex] \frac{15 + 3}{5} + \frac{6 + 1}{6} = \\ [/tex]

[tex] \frac{18}{5} + \frac{7}{6} = \\ [/tex]

[tex] \frac{18 \times 6}{5 \times 6} + \frac{7 \times 5}{6 \times 5} = \\ [/tex]

[tex] \frac{108}{30} + \frac{35}{30} = \\ [/tex]

[tex] \frac{108 + 35}{ 30} = \\ [/tex]

[tex] \frac{143}{30} \\ [/tex]

Answer:

x = -2

Step-by-step explanation:

2x-6 = 9x+8

-7x = 14

x = -2

PLEASE RATE!! I hope this helps!!

Answer:

27

Step-by-step explanation:

30% of 90 can be written as 30% × 90

= 30/100 × 90

= 27

Answer:

In the beginning there were 20 bacterias in the petri dish.

Answer:

(6-5)/5=20% increase

Step-by-step explanation:

Answer:

the next shipment of ornaments are 16

Answer:

Hope this helps you

Step-by-step explanation:

Thank

Answer:

86 degrees

Step-by-step explanation:

The angles of a triangle all add up to 180.

x is 45 degrees

y is 49 degrees

49 + 45 = 94

180 - 94 = 86

The last angle of the triangle is 86 degrees. Since z is on the opposite side of it, it is equal to 86

The way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

Since the considered composite figure consists of a semicircle, trapezoid, and 2 rectangles, so we can find its area by their use.

Thus, the way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.

Learn more about area of a composite figure here:
https://brainly.com/question/10254615

Answer:

d

Step-by-step explanation:

i just finished the test

Answer: ≈ 4.

Step-by-step explanation: In order to solve this, you need to turn this into an addition problem.  In order to do that, we need to transform the 3 into a fraction:

3/1 + 175/349.

Solve:

3/1 + 175/349 = 3.50143266 or ≈ 4.

Have a great day! :)

Answer:

4

Step-by-step explanation:

Convert the mixed fraction into decimal form using a calculator

[tex]\rightarrow 3\dfrac{175}{349} = 3.501 \ \ \ \ \ \text{(Upto three dp)}[/tex]

Since the number in decimal form is about 0.002 more than 3.49, the number will round up to 4 (Nearest whole number).

Answer:

  $2,667.59

Step-by-step explanation:

The insurance premium is found by multiplying the payroll amount by the premium rate.

  ($15,738) × $16.95/$100 = $15,738 × 0.1695 ≈ $2,667.59

The monthly workers' compensation insurance premium is $2,667.59.

_____

Additional comment

The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.

Answer:

The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.

Step-by-step explanation:

Answer:

[tex]y\geq 2x+3[/tex]

Step-by-step explanation:

the gradient of a line is found by using the formula [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

so we get [tex]\frac{5-3}{1-0}=\frac{2}{1} =2[/tex]

the y-intercept is where the line crosses the y-axis which is simply 3

so the equation of this line is [tex]y=2x+3[/tex] in the form [tex]y=mx+c[/tex]

but the question is asking for an inequality, specifically above the line so we get [tex]y\geq 2x+3[/tex]

Slope:-

[tex]\\ \tt\Rrightarrow m=\dfrac{-3-3}{-3}=2[/tex]

Equation of line in point slope form

[tex]\\ \tt\Rrightarrow y-3=2x[/tex]

[tex]\\ \tt\Rrightarrow y=2x+3[/tex]

Put (0,0)

Hence the inequality is

[tex]\\ \tt\Rrightarrow y\geqslant 2x+3[/tex]

The area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.

Circumference of the circle is the length of its boundary. It can given as,

[tex]P=2\pi r[/tex]

The area of the circle is the space occupied by it. It can be given as,

[tex]A=\pi r^2[/tex]

Here (r) is the radius of the circle.

A square has a side that measures 5. 5 units. The perimeter of the square is the equal to the 4 times of its side. Thus its perimeter is,

[tex]P=4\times5.5\\P=22\rm\; units[/tex]

The circumference of the circle is equal to the perimeter of the square. Thus the radius (r) of circle is,

[tex]P=2\pi r\\22=2\times\pi r\\r\approx3.5\rm\; units[/tex]

The area of this circle is,

[tex]A=\pi r^2\\A=3.14\times (3.5)^2\\A=38.465\\A\approx 38.47\rm\; units^2[/tex]

Hence the area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.

Learn more about the circumference and area of the circle here;

https://brainly.com/question/402655

Answer:

Try to multiple 0.59x to $70, divide $19,95 to whatever answer u got from 0.59 to $70 then add 84.83334 and then there's your answer

Step-by-step explanation:

Done this and got right

Answer:

A.

Step-by-step explanation:

πr^2 h/3

Hope this helps!

Answer:

m∠1 = 89°

Step-by-step explanation:

     Since m∠2 is a part of ∠GFH, he can do the following.

∠GFH - m∠2 = m∠1

133° - 44° = 89°

Answer:

4 red marbles

Step-by-step explanation:

green marbles = 9r

red marbles = r

9r + r = 40

10r = 40

r = 4 = red marbles

Answer:

less than

Step-by-step explanation:

Answer:

B) less than

Step-by-step explanation:

We can start by looking at the number infront of the fractions. We know that 2 is less than 3 which also means that 2 and 7/8 is less than 3 and 1/4.

I hope this helps!!

Please mark brainliest!

Answer:

$126

Step-by-step explanation:

since they divided it evenly therefore everyone paid $42 you just times that by the amount of people. there is tom, mary and sara therefore 3. 42*3=126

Answer:

total bill was $126

Step-by-step explanation:

3 people ate: Tom, Mary and Sara
if they split the bill evenly, they would all pay the same amount
if each person paid 42 dollars, you just multiply that amount by the number of people
42 x 3 = 126

Answer:

if you're talking 20 cents, then 4, if you're talking dollars, then 400.

tell me pls if you want an explanation.

Answer:

400 nickels

Step-by-step explanation:

How many nickels to make $20?

1 nickel = 5 cents ($0.05)

? nickels = $20

How many nickels make $1?

0.05x = 1

/0.05  /0.05

x = 20 <== 20 nickels make $1

How many nickels make $20?

20x = $20

20(20) = $20

400 = $20

This means that 400 nickels make $20

Hope this helps!

Answer:

Step-by-step explanation:

If they are the same, the ratio of length to width when reduced to the lowest terms are

Large rectangle L/w = 36/24 = 3/2

Small triangle L/w = 24/18 = 4/3

Answer: The ratios are not the same. The rectangles are not similar.