Answer:
[tex]\dfrac{\$1000+\$20x}{x} \leq \$25[/tex]
Minimum 200 people other than the 2 charity representatives.
Step-by-step explanation:
Given that:
The venue can hold a maximum of 500 people.
Cost of venue = $1000
Per person cost for food = $20
Two charity representatives get to attend the dinner for free.
To find:
The inequality and to determine how many people must come to keep costs at most $25.
Solution:
Let the number of people attending the dinner = [tex]x[/tex]
Cost of food for [tex]x[/tex] people = [tex]\$20x[/tex]
Total cost = $1000 + [tex]\$20x[/tex]
Cost per person = Total cost divided by Number of people attending the dinner.
As per question statement:
[tex]\dfrac{\$1000+\$20x}{x} \leq \$25\\\Rightarrow 1000+20x\leq25x\\\Rightarrow 1000 \leq 5x\\\Rightarrow x\geq 200[/tex]
Therefore, the answer is:
Minimum 200 people other than the 2 charity representatives should attend the dinner.
Chaleah deposited $700 in a new account that earns 5 simple interest. After 4 years, how much interest will she have earned? How much total money will Chaleah have after 4 years
Answer:
FV= $875
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $700
Simple interest (i)= 5% = 0.05
Number of periods (n)= 4 years
To calculate the future value (FV), we need to use the following formula:
FV= PV*i*n + PV
FV= 700*0.05*5 + 700
FV= $875
If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
(0, 1)
(1, 1)
(2, 1)
Answer:
(1,1)
Step-by-step explanation:
the fifth term of an arithmetic progression is 40 and the seventh term is 28 more than the 3rd term. Find the first and 10th term.
Answer:
Step-by-step explanation:
t5 = a + (5-1)d
t5 = a + 4d
40 = a + 4d
t3 = a + 2*d
t7 = a + 2d + 28 = a + 6d
Start with the seventh term which has 2 equal answers
a + 2d + 28 = a + 6d Subtract a from both sides
2d + 28 = 6d Subtract 2d from both sides
28 = 4d Divide by 4
28/4 = d
d = 7
==================
t5 = a + 4d = 40
a + 4*7 = 40
a = 40 - 28
a = 12
===================
First term is 12
10th term is
t10 = 12 + (10 - 1)*7
t10 = 12 + 9*7
t10 = 75
Interesting question. Thanks for posting
PLSS HELLP!!!! REAALLY DON"T UNDERSTAND.
Answer:
103101.4285cm³
Step-by-step explanation:
1.formulae for volume of a cylinder is πr²h ( pi× the square of the radius×height of the cylinder)
So volume =π×(27)²×(45)
V=32805π ,but π=22/7 .therefore V=32805×22/7 =103101.4286cm³
Bill plans to buy school supplies and the following equation represents what he bought.
5x + 20y = 50 is the equation that shows that he spent $50 and bought 5 binders and 20 pencils. Let
X represent the cost of binders and y represent the cost of pencils
1. How much is each binder if each pencil cost $0.50? Explain how you know.
2. How much is each pencil if the binders cost 8 dollars each? Explain how you know.
Answer:
1. x = 8
2. y = 1/2
Step-by-step explanation:
1. Plug the function
5x + 20(0.50) = 50
= 5x + 10 = 50
Subtract 10 from both side
= 5x = 40
Divide 5 on both sides
= x = 8
2. Plug in the function
5(8) + 20y = 50
= 40 + 20y = 50
Subtract 40 on both sides
= 20y = 10
Divide 20 both sides
= y = 10/20 | 1/2
Answer:
1. 8
Explanation: 5x + 20(.50)=50
5x + 10=50. Now do 50-10 to get 40. So,
5x=40. Now divide 40/5 to get 8.
2. .5
5(8) + 20x=50. Now do 5*8
40 + 20x=50. Now, 50-40 to get
20x=10. And divide 10/20 to get .5
What is the slope of the line? *
Answer:
-2/-5 = 2/5
Step-by-step explanation:
what is 1/7 * 4/5 in simplest form
Answer: 33/35?
Step-by-step explanation:
9514 1404 393
Answer:
4/35
Step-by-step explanation:
[tex]\dfrac{1}{7}\times\dfrac{4}{5}=\dfrac{1\times4}{7\times5}=\boxed{\dfrac{4}{35}}[/tex]
Simplify (-5)^5/(-5)^-6
Answer:
-1/5 or -0.2
Step-by-step explanation:
Hope this helps you out
The number expression (-5)⁵/(-5)⁻⁶ can be written as -5¹¹ after using the property of the integer exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have:
A number expression:
= (-5)⁵/(-5)⁻⁶
As we know from the property of the integer exponent:
[tex]\rm = \dfrac{y^a}{y^b} = y{a-b}[/tex]
y is the base and a, b are the exponent.
As the same base can be written as the sum of the power
In the given number expression there is the same base as -5
Exponent can be subtracted, after subtracting the powers:
= (-5)⁵⁻⁽⁻⁶⁾
= (-5)⁵⁺⁶
= -5¹¹
Thus, the number expression (-5)⁵/(-5)⁻⁶ can be written as -5¹¹ after using the property of the integer exponent.
Learn more about the integer exponent here:
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Find the slope of the line that passes through the points (-5, 3) and (4, 6).
Answer:
1/3
Step-by-step explanation:
You would use the slope formula to solve this!
(-5, 3) and (4, 6)
m= [tex]\frac{6-3}{4+5}[/tex] = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]
I hope this helps!!
ANSWER FOR BRAINLEST
PLSSS
Answer:
6
Step-by-step explanation:
2/7 = n/21
How I do it is:
1. I put it like this: n7=2 times 21
then I multiply 2 times 21 which is 42
2. then it becomes n7=42 which basically is 42/7 which is 6 so N=6
Hope this helped! Have a great day!
Pls can I have brainliest!!! :)
The three angles of a quadrilaterals are 540, 970,860.Find the fourth angle?
Answer:123 degrees
Step-by-step explanation:
360-54-97-86=123
Each week, Arnold earns $92 for every shift he works at the theater and $13 for every dog-walking job. He uses the expression 92x + 13y to keep track of his earnings.
Part A: Identify the coefficients and variables in the expression. (3 points)
Part B: How many terms are in the expression, what are they, and how do you know? (4 points)
Part C: Which term in the expression shows the total earned from the dog walking jobs? (3 points)
Answer:
Part A: Identify the coefficients and variables in the expression.
The variables in the expression is:
The number of shifts he works in the theater is represented by x
The number of dog walking jobs is represented by y
The coefficients =
Amount paid for each shifts = $92
Amount paid for each dog walking jobs = $13.
Part B: How many terms are in the expression, what are they, and how do you know?
There are two terms in the expression
They are: 92x and 13y
Part C: Which term in the expression shows the total earned from the dog walking jobs?
13y
Step-by-step explanation:
Each week, Arnold earns $92 for every shift he works at the theater and $13 for every dog-walking job. He uses the expression 92x + 13y to keep track of his earnings.
Part A: Identify the coefficients and variables in the expression. (3 points)
The variables in the expression is:
The number of shifts he works in the theater is represented by x
The number of dog walking jobs is represented by y
The coefficients =
Amount paid for each shifts = $92
Amount paid for each dog walking jobs = $13.
Part B: How many terms are in the expression, what are they, and how do you know?
The expression:
Total earnings = 92x + 13y
There are two terms in the expression
They are: 92x and 13y
Part C: Which term in the expression shows the total earned from the dog walking jobs?
Since the number of dog walking jobs is represented by y, the expression shows the total earned from the dog walking jobs is 13y
In a local city, the temperature at noon is Negative 3 degrees Celsius. The temperature is expected to decrease by 2.5 degrees Celsius each hour until the temperature reaches Negative 18 degrees Celsius. How many hours will it take for the temperature to reach Negative 18 degrees Celsius?
Answer:
6
Step-by-step explanation:
18-3 = 15. 15 divided by 2.5 is 6. Hope this helps!
Answer: 6 your welcome❤️
4.5 +(6y-3.5x)+7=
expression
Find the value of x.
Answer:
54
Step-by-step explanation:
Answer:
I think 126
Step-by-step explanation:
I divided 90÷50 and got 1.8 and then multiplied 70 by 1.8
What's the error and the answer
Answer:
The Error is that you need to divide 12 by 3/4 and not mutiply it.
The Answer is x=16
Step-by-step explanation:
12 / 3/4 = 16
find the highest commen factor of 30 and 18
Answer:
6
Step-by-step explanation:
Use prime factorization;
30 = 2 * 3* 5
18 = 2 * 3 * 3
Both of these numbers have ( 2 * 3 ) in common, ( 2 * 3 = 6 ), hence their highest common factor (greatest common factor) is 6.
Answer: the common factor is 6
Step-by-step explanation:
the factor of 30=1x2x3x5
the factor of 18=1x2x3x3
the numbers that are common for both numbers are1, 2 and 3
I like to eat apples and bananas
Answer:
I remember that song from like kindergarten, good memories
Step-by-step explanation:
May I have brainliest please? :)
Answer:
thats cool but this is where you ask for help on hw
Write ✓-24 in simplest radical form.
Answer:
2√6
Step-by-step explanation:
make me brainliest please
I could be misunderstanding your question, but I think you want to know the simplest form of √ 24 .
√ 24 = √ 4 ⋅ 6 = √ 4 √ 6 = 2 √ 6
Because √ 6 cannot be simplified, we are finished.
Bus A and Bus B leave the bus depot at 7 am.
Bus A takes 25 minutes to complete its route once and bus B takes 40 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Answer:
10:20 am
Step-by-step explanation:
I hope this help! :)
5 + 7) + 3 = 5 + (7 + 3)
Which property does this represent?
commutative
associative
identity
distributive
Answer:
Step-by-step explanation:
Associative property
Simplify the expression: (9t+5)+(3t-6) HELPPPP
Answer:
12t - 1
Step-by-step explanation:
Help please really need it
Answer:
Sorry. Haven't learned this yet. Kep trying. I know you'll get it
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
X=5±√7
If the triangle is isosceles, then the triangle doesn’t have 3 sides in common.
True or False
Answer:
True
Step-by-step explanation:
Answer:
True, because an equilateral triangle has three sides in common
which is greater, 1.349 > 1.11
Answer:
that is right the greater one is 1.349
Step-by-step explanation:
bc the number after the decimal 3 is bigger than 1
y=x+1
Please what is the slope and the y intercept
Answer:
The slope is 1 and the y intercept is +1
Step-by-step explanation:
The value of the coefficient of x is 1 and the b value in slope intercept form is +1
Ayo 2+8 if u answer u get brainliest
Answer:
10
Step-by-step explanation:
*+2=1
Answer:
The answer to your question is 10
Answer this question plz
The measure of angle EDF from the given figure is 23°.
From the given figure, ∠EGF=23°.
What is and angles in the same segment theorem?The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.
By using angles in the same segment theorem, we get
∠EGF = ∠EDF = 23°
Therefore, the measure of angle EDF from the given figure is 23°.
To learn more about the circle theorems visit:
https://brainly.com/question/19906313.
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Find the simple interest earned-
$580, 2%, 6 months
Answer:
$69.60 earned in interest
Step-by-step explanation:
580(.02)(6)
In triangle MNO, NO = MN and angle MM = 13°. Find angle MO
Answer:
If NO=MN then angle M=O, so if angle O is what you are asking for, it should be 13 degrees
Step-by-step explanation: