Mathematics Middle School

I really need help on this one

17.) Rachel is planning a wedding for 100 to 250 people, depending on costs. She has hired a caterer that charges $20 per person, plus a flat fee of $200.

a.) Write an inequality in terms of p people that describes how many people Rachel plans to invite.

b.) Adjust that inequality to show how much the caterer will charge in terms of p.

c.) What is the range of catering fees that Rachel is considering?

Answers

Answer 1
Part A:

Given that Rachel is planning a wedding for 100 to 250 people, the inequality in terms of p people that describes how many people Rachel plans to invite is given by:

100 ≤ p ≤ 250



Part B:

Given that the caterer charges $20 per person, plus a flat fee of $200, the inequality that shows how much the caterer will charge in terms of p is given by:

20(100) + 200 ≤ 20p + 200 ≤ 20(250) + 200



Part C:

The range of catering fees (C) that Rachel is considering is given by:

20(100) + 200 ≤ 20p + 200 ≤ 20(250) + 200

2000 + 200 ≤ C ≤ 5000 + 200

2200 ≤ C ≤ 5200

Therefore, the range of catering fees Racheal is considering is from $2,200 to $5,200
Answer 2

Answer:

A ? B ? C ?

Step-by-step explanation:

Related Questions

what is an rational number

Answers


any number that can be expressed as the quotient or fraction p/q of 2 integers
a numerator p and a non-zero denominator q
A rational number is a number that can be written into a fraction. pi, some square roots, e, etc. are irrational numbers(opposite of rational numbers)(numbers that cannot be written into a fraction).

3(y-2)=18
3y-____=18
3y=____

Answers

Greetings!

3(y-2)=18
Distribute the Parenthesis (3*y+3*-2).
3y-6=18
To Isolate the variable, we have to add/subtract any unlike terms.
3y=24

To solve for y.
[tex]3y=24[/tex]
Divide both sides by 3.
[tex](3y)/3=(24)/3[/tex]
The Answer Is:
[tex]y=8[/tex]

Hope this helps.
-Benjamin
3(y-2)=18
3y-6=18
3y-6+6=18+6( Since 6 is negative and we want to get rid of 6 so we do +6-6        3y=24          which is 0 to get rid of -6 and add +6 to 18 to other side.)

I hope it may help you
thank you.

What is .. 3i ( 6 - 5i )

Answers

The answer is -3i

3i times 6 is 12i

3i times 5i is 15i

so the answer is -3i

An angle measures 102° less than the measure of a supplementary angle. what is the measure of each angle?

Answers

The measure of two angles are 141° and 39°.

What are supplementary angles?

When the sum of two angles equals to 180°, then those angles are said to be supplements of each other and hence called supplementary angles.

Given that, An angle measures 102° less than the measure of a supplementary angle.

Let the angles be x and y, then according to question,

x+y =  180°

x-y = 102°

Solving the equation by elimination method, we get,

2x = 282°

x = 141°

Put x = 141°

141°-y = 141°

y = 39°

Hence, the asked angles are 141° and 39°

For more references on supplementary angles, click;

https://brainly.com/question/13045673

#SPJ2

To find the measures of the angles, set up an equation using the property that supplementary angles add to 180 degrees. Solving the equation yields one angle measuring 39 degrees and the supplementary angle measuring 141 degrees.

When dealing with angles and their measurements, it's important to remember fundamental properties, such as the fact that the sum of supplementary angles is 180 degrees. Given that an angle is 102° less than its supplementary angle, we can set up an equation to find the measure of each angle. Let's call the first angle x; therefore, the supplementary angle will be x + 102°.

Using the property that the sum of supplementary angles is 180°, we can write the equation:
x + (x + 102°) = 180°
2x + 102° = 180°
2x = 180° - 102°
2x = 78°
x = 39°
Thus, the measure of the first angle is 39° and that of the supplementary angle is 39° + 102° = 141°.

find f(-1) for f(x)= 3x^2 + 5x +6

Answers

  The answer is:  "4" .
__________________________________________________
                 "  f(-1) = 4 ."
______________________________________
Explanation:
______________________________________
Given:  " f(x) = 3x² + 5x + 6 " ;

Then plug in "-1" for all values of "x" to find "f(-1)" ;

     →  f(-1)  =  3(-1)²  +  5(-1)  +  6  ;

                  = 3(1)  + (-5) + 6 ;

                  =  3 - 5 + 6 ;

                  =  -2 + 6 = 4 .
__________________________________________________
  The answer is:  "4" .
__________________________________________________
                 "  f(-1) = 4 ."
__________________________________________________

HELP ME PLEASE, I'LL CHOOSE A BRAINIEST PERSON!!!

Which trigonometric ratios are correct for triangle ABC? Check all that apply.

sin(C) = square root 3/2
cos(B) = square root 2/3
tan(C) = square root 3
sin(B) = 1/2
tan(B) = 2 square root 3/ 3

Answers

All that are true:

sin(C) = square root 3/2
tan(C) = square root 3
sin (B) = 1/2

A container holds 3 quarts of lemonade. How much is this in cups? Use the table below. Include the correct unit in your answer.

Answers

Since there are 4 cups in a quart, then this is 12 cups.

To find out how many cups are in 3 quarts of lemonade, you multiply the number of quarts (3) by the conversion factor of 4 cups per quart, giving you 12 cups of lemonade.

To answer the question, 3 quarts of lemonade is equivalent to how many cups, we will need to use the conversion between quarts and cups. In the United States customary system, 1 quart is equal to 4 cups. Therefore, to convert quarts to cups, you would multiply the number of quarts by 4.

To solve:

Multiply the number of quarts by 4 to convert to cups.
3 quarts  x 4 cups/quart = 12 cups

Thus, 3 quarts of lemonade is equivalent to 12 cups of lemonade.

Help me solve this problem!!PLEASE help I need this answer and I need to know how to solve this by today!!

livia wants to purchase a pair of shoes for $50.She also wants to huy some socks that cost $2.20 each.She only has $64.00 to spend.How many pairs of socks can she buy along with the shoes?


Ps:please tell me how you how you got it showing your work! Please thank you so much I need this answer ASAP

Answers

she wants to purchase shoes that cost $ 50
she wants to purchase socks that cost 2.20 each......so the expression for this is 2.20s...with s being the number of pairs of socks bought
and she only has $ 64....so she has to spend 64 or less...< = 64

so ur inequality would be :
50 + 2.20s < =  64.....subtract 50 from both sides
2.20s < = 64 - 50
2.20s < = 14...divide both sides by 2.20
s < = 14 / 2.20
s < = 6.36....so she can purchase 6 pairs of socks without going over
Livia has a total budget of $64.00.


Subtract the cost of the socks from the budget.

64 - 50 = 14

Next, divide 14 by 2.20.

14 ÷ 2.20 = 6.36

So, Livia can buy 6 pairs of socks.


I hope that helped! c:

What value should go in the empty box to complete the calculation for finding the product?
of 23.456 × 0.86?

Answers

1,576,480
1,623,392
1,876,480
1,923,392

Answers

I think it's 1,876,480 but I'm not sure

Answer:

the answer is 1,876,480

Step-by-step explanation:


A manager at a shoe store received an order for 346 pairs of shoes what is 346 rounded to the nearest hundred

Answers

300 is 346 rounded to the nearest hundred.
300 would be the answer

2/5ab What are the factors of the expression? Drag all of the factors of the expression into the box. Factors −1 2 5 2 5 a b

Answers

2/5, a, and b is the answer

the wind blew away 26 of y out r muffins. That was 2/3 of all of them! With how many did you start?

Answers

26 / 2/3 = 39

 you started with 39 muffins

Holly missed 8 of 182 school days this year. Approximately what percent of school days was Holly in attendance?

Answers

Answer:

Wrong it is

Step-by-step explanation:

First, determine how many school days Holly attended.

182 - 7 = 175

Next, find the percentage of school days she attended.

175 ÷ 182 = 0.9615384615  96%

Holly attended approximately 96% of school days.

To calculate the percentage of school days Holly was in attendance, subtract the days missed from the total days and divide by the total days, then multiply by 100.

Holly missed 8 out of 182 school days this year. To find the percentage of days she was present, subtract the days missed from total days and divide by total days, then multiply by 100.

Days attended = 182 - 8 = 174Percentage attended = (174/182) * 100 ≈ 95.60%

Find the greatest common factor of 27 and 63

Answers

The common factor would be 33
The Greatest Common Factor (GCF) of some numbers, is the largest number that divides evenly into all of the numbers.

For 27 and 63 that number is 9.

I'm offering 20 points, only answer is you're smart

Answers

both angles need to equal 180 degrees

3x+18 +5x+2 =180

8x+20 = 180

8x =160

x = 160/8 = 20

x = 20

It only gives the answerer half the points that you pay, for future reference.

What is 8q+6;q=2 its expression for the given value of the variable

Answers

Answer:

8q + 6 = 8*2 + 6 = 16 + 6 = 22




A classic counting problem is to determine the number of different ways that the letters of "generally""generally" can be arranged. Find that number.

Answers

Final answer:

To determine the number of arrangements for the word 'generally', one calculates 9 factorial divided by the factorial of the counts of each repeated letter. With 'E' and 'L' repeating twice each, the calculation is 9! / (2! × 2!) resulting in 90720 unique arrangements.

Explanation:

Calculating Arrangements of the Word 'GENERALLY'

To calculate the number of different ways the letters in the word 'generally' can be arranged, we have to take into account the repeated letters. The word 'generally' has 9 letters with the following repetitions: G-1, E-2, N-1, R-1, A-1, L-2, and Y-1. The formula to calculate the permutations of a set of objects where there are duplicates is the factorial of the number of objects divided by the product of the factorials of the number of duplicates for each object.

Thus, to find the number of arrangements, we would calculate 9! (9 factorial) and then divide it by the product of the factorials of the repeated letters, which are E and L. This gives us 9! / (2! × 2!), or 362880 / (2 × 2), which simplifies to 90720 unique arrangements for the letters in 'generally'.

This combinatorial approach is a useful exercise in understanding how to count arrangements and can be applied more broadly to comprehend more intricate probability and statistics problems

How do I find the value of z?

Answers

Hello!

The answer is z = 16..

Solve it like this..

#1) Regroup terms

-3 = -7+z/4 ---> -3 = z/4 - 7

#2) Add 7 to both sides.

-3 = z/4 - 7 ---> -3 + 7 = z/4

#3) Do the addition.

-3 + 7 = z/4 ---> 4 = z/4

#4) Multiply both sides by 4.

4 = z/4 ---> 4 * 4 = z.

#5) Do the multiplication.

4 * 4 = z ---> 16 = z

Hope this helps! ☺♥

Please help me with these questions (: Ty
1.) Multiply.

1.25(−3.6)

Enter your answer as a decimal in the box.

2.) Divide.

−1/9÷3/4

A.)−4 2/7

B.)−1 1/2

C.)1 1/2

D.)4 2/7

Ty <3

Answers

1 = -4.5
2 = a
it's making me put 20 characters to answer this so ignore all this nonsense

I need help for number 10 please someone help

Answers

it can be easy to miss, but if you look, it says per month instead of per year.
you then have to convert this to a yearly rate by first multiplying .016 by 12 then proceeding to multiply that answer by 500, then 3
ex. (.016 * 12) * 500 * 3 = 288

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + y = 5 x + y = 7

Answers

on a graph they never have a point where the two lines meet
x+y=5 and x+y=7
the solution set is where they intersect

if we graph them, we see they are paralell and will never intersect
so there are no points at which they intersect

the solution set is the empty set.

how would I do this

Answers

subtract top exponent from bottom. answer is a^2 b^7 c

can you help me with 12-3(x+1)=30

Answers

Greetings!

[tex]12-3(x+1)=30[/tex]
Distribute the Parenthesis.
[tex]12-3x-3=30[/tex]
Combine like terms.
[tex]9-3x=30[/tex]
Add -9 to both sides.
[tex](15-3x)+(-9)=(30)+(-9)[/tex]
[tex]-3x=21[/tex]
Divide both sides by -3.
[tex](-3x)/-3=(21)/-3[/tex]
The Answer Is:
[tex]x=-7[/tex]

Hope this helps.
-Benjamin

Charles ran 3 miles in 15 minutes. At that rate, how long would it take him to run 8 miles?



30 minutes


40 minutes


50 minutes


60 minutes

Answers

Well first you need to find the unit rate. Divide 15 by 3.....get 5 minutes for 1 mile. Then you would multiply 5 by 8 which is 40 so 40 minutes (B) is your answer :)
B is the answer 40 minutes

How do I write equivalent ratios

Answers

First you compare two things and for example there are three boys and two girls the ratio would be 3 to 2

Identify the contrapositive of the following statement. If x = 2, then x + 3 = 5.

a) If x + 3 = 5, then x = 2.
b) If x + 3 ≠ 5, then x ≠ 2.
c) If x ≠ 2, then x + 3 ≠ 5.
d) x = 2 and x + 3 = 5.

Answers

Answer:

If x + 3 ≠ 5, then x ≠ 2 thus b: is your Answer

Step-by-step explanation:

Final answer:

The correct contrapositive of the statement "If x = 2, then x + 3 = 5" is: If x ≠ 2, then x + 3 ≠ 5.

Explanation:

The contrapositive of the statement "If x = 2, then x + 3 = 5" can be found by negating the statement and switching the hypothesis and conclusion. The negation of "x = 2" is "x ≠ 2" and the negation of "x + 3 = 5" is "x + 3 ≠ 5".

Therefore, the contrapositive of the statement is: If x ≠ 2, then x + 3 ≠ 5. Option (c) represents the correct contrapositive of the statement.

Learn more about Contrapositive here:

https://brainly.com/question/35417442

#SPJ2

Someone help me quick!

Answers

20k + 50
so remember factorise means to add brackets in.this will be a single bracket so we need a number / letter that will go outside the bracket.in this case it will be a number because 50 dosent have a letter only 20 has a letter which is k. you need to put the highest number that goes into both numbers on the outside of the bracket which is 10.
20k + 50
=10(2k + 5)
to check if it's right we simplify it out using a fraud method or whoever method your comfortable with.
10(2k+5)
10*2k=20k
10*5=50
=20+50k
so it is factorised correctly.
answer is 10(2k+5)


A recipe for 6 dozen cookies calls for 3/4 cup of sugar. How much sugar is needed to make 4 dozen cookies? pls show all work and answer

Answers

So if 6 dozen cookies needs 3/4 cup of sugar, and we need to know how much sugar is needed to make 4 dozen, then find how much of 6 dozen 4 dozen is.

To do this, put it as a fraction:

4 dozen / 6 dozen, or 4/6, which is 2/3.

Since conveniently it calls for 3/4 cup of sugar, we can multiply that by 2/3, and we'll get 6/12, or 1/2.

So 1/2 cup of sugar is needed for 4 dozen cookies.

The life expectancy of a typical lightbulb is normally distributed with a mean of 2,000 hours and a standard deviation of 27 hours. What is the probability that a lightbulb will last between 1,975 and 2,050 hours?

A. 0.17619
B. 0.32381
C. 0.79165
D. 0.96784

Answers

0.7916, so it would be c
The first standard deviation covers about 68% of the distribution in a normal curve. (34% higher, 34% lower than the mean). the second standard deviation covers 28% (14% between 1st and 2nd SD above the mean, 14% between 1st and 2nd SD below the mean).  In our case
1 Standard deviation = 27 hours (we will approximate to 25 hours)
Mean = 2,000 

This means that 34% of the distribution is between 1975 and 2000 hours       (within 1 standard deviation below the mean)

2,000- 2,050 covers the range within 50 hours above the mean.
50 hours is roughly 2 standard deviations. The second standard deviation (standard deviation between 1 and 2) covers around 14% on each side of the distribution.
50 hours is roughly 2 standard deviations, which means we add 34% + 14% = 48%. 
The range of 1,975 - 2,050 hours covers 34% of the distribution below the mean and 48% of the distribution above the mean. 
This means that the probability that the light bulb will last somewhere within this range is 34% + 48% = 82%

The closest answer is 79%. The difference can be explained by the fact that, for simplicity, we approximated the standard deviation to be ~25 hours instead of the real standard deviation of 27 hours. 

Two cards are drawn at random from a standard deck of 52 cards. what is the probability that both cards are aces

Answers

It is not indicated whether the first card is replaced before the second is taken... Let's consider both cases.
P
r
o
b
=
number of desirable outcomes
total number of possible outcomes
There are 4 aces in a deck of cards which has 52 cards in total.
If the first card is NOT replaced:
P (Ace, Ace) =
4
52
×
3
51
=
1
221
(The number of aces remaining is 1 less, and there is 1 less card to choose from.)
If the first card IS replaced , then the probability of drawing an ace stays the same every time a card is chosen:
P (Ace, Ace) =
4
52
×
4
52
=
1
169
Note: A probability should be given as a fraction, in the simplest form.
It is always a value from 0 to 1
0
⇒
(the outcome is impossible)
1
⇒
(the outcome is guaranteed)

Answer:

1/221

Step-by-step explanation:

got it right on edge :)

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