Will Mark Brainliest
A couple is getting married. The event venue for their reception costs $3000 plus $20 per guest for catering. Decorations will cost $750. If the couple wants to keep the total cost of their reception under $6,000, what is the maximum number of guests that they can invite? Define a variable, write an inequality and solve.

Answers

Answer 1

Answer:

112.5 guests

Step-by-step explanation:

3,000 + 750 = 3,750. 6,000 - 3,750 = 2,250. 2,250/20 = 112.5 hope this helps


Related Questions

Find three consecutive integers that have the sum of -402

Answers

Answer:

-135, -134, -133

Step-by-step explanation:

Hi there!

Let x be equal to the first integer in the set of three consecutive integers.

Let x+1 and x+2 be the consecutive integers.

We're given that they have a sum of -402.

We can construct an equation:

[tex](x)+(x+1)+(x+2)=-402[/tex]

Combine like terms:

[tex]x+x+1+x+2=-402\\x+x+x+1+2=-402\\3x+3=-402\\3x=-405\\x=-135[/tex]

Therefore the first integer is -135.

The next two consecutive integers after -135 is -134 and -133.

Therefore, the three consecutive integers are -135, -134 and -133.

I hope this helps!

-2x + 9x5 + 1 - 9x2
What’s the answer to this someone help plz

Answers

Answer:

factored = -2(x-14) Simplified= -2x+28

Step-by-step explanation:

hillary is cycling across montana taking a 845 mile course . the first week she covered.320 miles. the second week she traveled another 350 miles. how many more miles does she have to travel to complete course?

Answers

Answer:

175 miles

Step-by-step explanation:

Hillary has travelled

320 + 350 = 670 miles

in the first two weeks.

Therefore, Hillary starts with 670 miles and needs to add a certain number of miles "x" to get 845 in total.

670 + x = 845

And if we subtract 670 from both sides:

x = 845 - 670 = 175

175 miles

Evaluate-2xy, if x=-4 and y=1.
32
0-16
0-32
16

Answers

Answer:

8

Step-by-step explanation:

This question asks for us to substitute values of variables into the following equation: -2xy

We know two pieces of information:

x = -4y = 1

All we have to do is substitute the values for variables.

-2xy

-2(-4)(1)

= 8(1)

=8

In the past year Abdul watched 18 movies that he thought were very good. He watched 40 movies over the whole year. Of the movies he watched, what percentage did he rate as very good?

Answers

Answer:

45%

Step-by-step explanation:

18/40

You multiply this by 10/10 to get

180/400

And then you divide by 4 to get

45/100

= 0.45

= 45%

5(x + 1) - 8 = 5x(2-4)

what is the value of x?

a. -5
b. -1/5
c. 5
d. 1/5

Answers

Answer:

d) 1/5

Step-by-step explanation:

5(x + 1) - 8 = 5x(2-4)

5x+5-8 = 5x(-2)

5x-3=-10x

15x = 3

x = 1/5

Answer:

d. 1/5

Step-by-step explanation:

5(x + 1) - 8 = 5x(2-4)

=> 5x + 5 - 8 = 10x - 20x

=> 5x + 20x - 10x = 8 - 5

=> 15x = 3

[tex] = > x = \frac{3}{15} [/tex]

=> x = 1/5 (option d) (Ans)

Rewrite as a simplified fraction
0.67
7 is repeating

Answers

Answer:

[tex]\frac{17}{25}[/tex]

Step-by-step explanation:

So because it is a repeating decimal we have to round it off first. We can round it to the nearest hundredth making it 0.68. This then becomes [tex]\frac{68}{100}[/tex] as a fraction which can be reduced to its lowest terms by dividing both the numerator and denominator by 4 and then it becomes [tex]\frac{17}{25}[/tex].

HOPE THIS HELPED

67/99 if you divide 67 by 99 it equals to 67/99 which is also a repeated 67

Help please plEase bro

Answers

Answer:

it seems like the same length as 27 but its probably 27 or in that range like 26 or 28 even.

Step-by-step explanation:

hope this helps

11-3tothepowerof2+(11-3)tothepowerof2

Answers

Answer:

66

Step-by-step explanation:

11 - 9 + 8^2

11 - 9 + 64

= 66

What is the mean of the data set rounded to the nearest tenth?


0.7 1.1 0.8 1.6 1.6 2.2 1.1

Answers

Answer:

1.3

Step-by-step explanation:

Mean is the average:

μ = (0.7 + 1.1 + 0.8 + 1.6 + 1.6 + 2.2 + 1.1)/7 = 1.3

Find XZ if Y is the midpoint of XZ, XY = 2a + 11, and YZ = 4a - 5

Answers

Answer:

XZ=54

Step-by-step explanation:

X___Y___Z

XY= YZ

2a+11=4a-5

4a-2a= 11+5

2a=16

a=16/2

a=8

XY=2a+11=2(8)+11=16+11=27

YZ=4a-5 = 4(8)-5=32-5=27

XZ=XY+YZ =27+27=54

I hope I helped you^_^

Ill give brainlyest I just need help asap!
solve for x in the problem below and show all work
7x - 5x/3 (20/x - 8) -48=0

Answers

Hello!

Let’s work this out step by step.

The first thing you want to do is move that 48 to the other side. To do that, add 48 to both sides:

7x-5x/3(20x-8)=48

Now, the equation isn’t equal to zero… so it is solvable! Remember in order of operations: PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction. So, let’s start by multiplying the (-5x/3) by the components inside the parentheses to get rid of the parentheses altogether!

7x-100x/3x+40x/3=48

Since both the numerator and denominator have an “x” in them in “100x/3x”, you can cancel out the “x”s to just get 100/3, which is 33.333333

7x-100/3+40x/3=48

Let’s get rid of that 100/3 by adding it to both sides.

7x+40x/3=81.33333333333

Transform 7x to a fraction that can be added to 40x/3 (common denominators)

7x=7x/1

7x/1* (3/3)= 21x/3

Now, add the two fractions together

21x/3+40x/3= 61x/3

61x/3=81.333333333

Get rid of the 3 by multiplying on both sides:


61x= 244

Divide by 61 to get x

X=4

Hope this helped! Comment if you have any questions!

it takes 2 hours to bake 8 sheets of cookies. if Brandom and his mother boeing baking at 4:00 pm, when will they finish baking the cookies

Answers

They will finish at 6:00

solve for the value of t

Answers

Answer:

24

Brainliest, please!

Step-by-step explanation:

68 + (5t - 8) = 180

5t + 60 = 180

5t = 120

t = 24

Answer:

24

Step-by-step explanation:

5t-8 and 68 are the angles of a straight line so their addition will be180°.

5t-8 + 68 = 180

5t + 60 = 180

5t = 180-60

5t = 120

t= 120/5

t= 24

What is the transformation shown in the graph?
6
c
A
360° rotation
180° rotation
90° rotation
reflection

Answers

Answer:

Reflection is shown in the graph.

Terri's project for the Math Fair is a magnificent black box that she called a function machine. If you put 3 into her machine, the output is 8. If you put in 10, the output is 29; and if you put in 20, the output is 59. Homework help

a. What would her machine do to an input of 5? What about -1? What about x?

b. Write an equation for Terri's machine​

Answers

Answer:

a) An input of 5 gives an output of 14. An input of -1 gives an output of -4.

An input of x gives an output of 3x - 1

b) y = 3x - 1

Step-by-step explanation:

The pattern is that you multiply the number by 3 then subtract 1.

3*3 - 1 = 9 - 1 = 8

10 * 3 - 1 = 30 - 1 = 29

20 * 3 - 1 = 60 - 1 = 59

So:

a)

For an input of 5,

5 * 3 - 1 = 15 - 1 = 14

For an input of -1:

-1 * 3 - 1 = -3 - 1 = -4

For an input of x:

x * 3 - 1 = 3x - 1

So the equation is

b) y = 3x - 1

where x is the input value.

Jennifer has 21 pencils she gives 21 pencils to her teacher write an equation that represents this situation

Answers

J=21 T=0
21-21=0
J has 0 left.
T has 21 left.

1.) -6v²w³ (v² - 11v²w⁵ + 6w⁴)

2.) -10x⁴y⁴ (x⁴ - 4x⁴y⁴ + 4y³) ​

Answers

1) -6v^4w^3 + 66v^4w^8 - 36v^2w^7

2) -10x^8y^4 + 40x^8y^8 - 40x^4y^7

PLEASE HELP ASAP I NEED AN ANSWER WITHIN 10 MIN PLEASE

Answers

Answer:

hope this helps you

have a great day

find the interest where principal (P) Rs 1400 time 2 years ,rate of interest (R) is 5%

Answers

Answer:

rs140

Step-by-step explanation:

I=P×T×R/100

1400×2×5/100

2800×5/100

14000/100

140

Step-by-step explanation:

Principle(p)= 1400

time= 2 year

rate= 5%

interest= p×t×r/100

= 1400×2×5/100

= 14000/100

=140

Solve each for X. Show your work


2x - 3(x + 5) = -10


Answers

2x - 3(x + 5) = -10

2x - 3x - 15 = -10

2x - 3x = -10 + 15

-x = 5 / : (-1)

x = -5 ← the end

The ratio of vowels to Constance to a paragraph is 3:5 there are 280 letters in the paragraph how many are vowels how many are consonant

Answers

Answer:

280/8 = 35 "sets"

35*3 = 105 Constance

35*5 = 175 vowels

Step-by-step explanation:

There are 105 consonants and 175 vowels in a paragraph.

What is vowels and consonants?

Vowels (such as a, e, I o, and u) and consonants combine to form words (the rest of the alphabet). The letter "y" is a little odd since it can function as a vowel or a consonant depending on the context. Spelling will be made easier for you if you understand how vowels and consonants combine to form words and sounds.

a speaking sound made by people when their teeth, tongue, or lips obstruct the breath from leaving their mouths. grammar. Except for the English vowels a, e, I o, and u, a consonant is a letter that represents a sound made in this way.

Given:
The ratio of vowels to Constance to a paragraph is 3:5 there are 280 letters in the paragraph.

First to find the number of sets in the paragraph as

[tex]\frac{280}{3+5} = \frac{280}{8} = 35[/tex]

Therefore, there are 35 sets in the paragraph.

So, 35 x 3 = 105 are consonants and

      35 x 5 = 175 are vowels.

To know more about the vowels and consonants, click on the link

https://brainly.com/question/1066914

#SPJ2

The temperature was 4 degrees at midday.
By evening, the temperature was -6 degrees.
What was the change in temperature?

Answers

Answer:

the temp dropped about 10. degrees to -6

A mountain is 18,574 feet above sea level, and a valley is 400 feet below sea level. What is the difference in elevation between the mountain and the valley?

Answers

18,974 feet because you add 400 to the total
Because it’s 400 ft under

Is the relation a function? Explain


Set-builder notation?


Domain/range?

Answers

Answer:

doamin = set builder nation

Answer:

domain= set builder notation

Brody has a points card for a movie theater.
He receives 60 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 150 points for a free movie ticket.

What is the least number of visits he needs to make in order to earn a free movie ticket?

Answers

he needs AT LEAST 7 visits to earn a free movie ticket
reason: 150-60-12.5=77.5
just divide 12.5 into 77.5 and it gives you 6.2 so to be on the safe side id round up to 7. if it doesn’t give you that option then do 6.

ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY

Answers

the answer is 5,6,6,7

pls help with the last question ---------------

Answers

The answer is ‘describe’

Please help me, I’m not that smart!

Answers

Answer:

[tex] \frac{16 {d}^{3} }{ {c}^{2} } [/tex]

Step-by-step explanation:

[tex] {4}^{2} {c}^{ - 2} {d}^{3} {e}^{0} [/tex]

➡️ [tex]16 {c}^{ - 2} {d}^{3} \times 1[/tex]

➡️ [tex]16 {c}^{ - 2} {d}^{3} [/tex]

➡️ [tex]16 \times \frac{1}{ {c}^{2} } \times {d}^{3} [/tex]

➡️ [tex] \frac{16 {d}^{3} }{ {c}^{2} } [/tex]

Find the measure of b.

A. 70
B. 110
C. 75
D. 100

Answers

the answer is 75 because 180 is a full circle. so 180 minus 105 since it’s the opposite side which makes b 75

Answer: C. 75

Concept:

Here, we need to know the idea of quadrilaterals in a circle.

The opposite angles of quadrilaterals in a circle (cyclic quadrilaterals) are supplementary, meaning they add up to 180°

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Given information

The opposite angle of b = 105°

Given expression

b + opposite angle of b = 180°

Substitute values into the expression

b + 105 = 180

Subtract 105 on both sides

b + 105 - 105 = 180 - 105

b = 75°

Hope this helps!! :)

Please let me know if you have any questions

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