Luke's retirement party will cost $30 if he invites 6 guests. What is the maximum number of
guests there can be if Luke can afford to spend a total of $35 on his retirement party? Solve
using unit rates.
guests
Submit

Answers

Answer 1
the answer is 7 guests

Related Questions

if u pour all the liquid in a cone into a cylinder with the same height and radius then you will fill half of the cylinder with liquid

Answers

Answer:

No, the liquid will not fill half of the cylinder

Step-by-step explanation:

The volume of a cylinder is 3 times bigger than a cone with equal radius and height

To know this we have to compare the volumes of both solids first.

Let us assume the height and radius of the cone and radius are

6 and 2 mm respectively

so that the volume of a cone is given as

Volume of cone= 1/3 πr^2h

and the volume of cylinder is given as

Volume of cylinder= πr^2h  

1. Volume of cone= 1/3 πr^2h

Volume of cone= 1/3 *3.142*(2)^2(6)

Volume of cone= 75.408/3

2.  Volume of cylinder= πr^2h

Volume of cone= 3.142*(2)^2(6)

Volume of cone= 75.408

From the analysis the volume of a cylinder is three times bigger the volume of a cone with similar radius and height

simplify the expression -3 ^ (-2/5)

Answers

Answer:

Exact Form:

15  over as a fraction

2

Decimal Form:

7.5

Mixed Number Form:

1 and 7 over 2 as a fraction

Step-by-step explanation:

can someone help me solve 1/4 : 2/3 =​

Answers

Answer:

11/12

Step-by-step explanation:

hopefully ":" means add cause i have neve learned what that ment btw happy halloween❤

I’m having a panic attack omg please actually help me. I have to turn it in a few minutes-

Answers

Answer:

take deep slow breaths

Step-by-step explanation:

the slope is 5/1, the y-intercept is 0

y = 5x

I can't see the title for the x axis,

so it would be from the information i can see:

This goes up as this amount of water is used

What is an equation of the line that is parallel to y = 9- 4x and passes through (0, 7)​

Answers

Answer:

y = -4x + 7

Step-by-step explanation:

Since they are parallel they must have the same gradient which is -4

[tex]y = mx + c[/tex]

m = -4

x = 0

y = 7

7 = -4 × 0 + c

c = 7

[tex]y = - 4x + 7[/tex]

What is the remainder of 832 divided by 77?

Answers

Answer:

[tex]10\frac{62}{77}[/tex]

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:

62

Step-by-step explanation:

find it out then you see what is left after the question is through

A boat has a speed of 9 mph in Coldwater. It takes about four hours to travel upstream but only two hours to travel the same distance down stream. Which equation can be used to find C, the speed of the current in miles per hour?

Answers

It is 18 miles per hour

what is a point that must lie on the line representing a proportional relationship with a proportionality constant of 8.

Answers

Answer:

linear equation?

Step-by-step explanation:

Ok so the mass of a proton is 0.000000000000000000000000001672622 how do I make this in scientific notation

Answers

Answer:

1.7 x 10^-27

Step-by-step explanation

Move the decimal to the right until it's a single digit number, because you are moving it to the right, it would be a negative number. If you are able to round up then please do. Remember to check your significant figures if you're in chemistry.

Simplify the exponent in (2r³ × r³)²

Answers

Answer:

4r^12

Step-by-step explanation:

brainliest please

Answer:

4r¹²

Step-by-step explanation:

4r³ˣ² x r³ˣ²

4r⁶ x r⁶

4r⁶⁺⁶

4r¹²

6 is greater than or equal to 9, is that the same thing as ALL REAL NUMBERS?

Answers

Answer:

No it is not the same

Step-by-step explanation:

A real number is any number, positive or negative, whole number or decimal.

(EX) 1, 1.00567, -2, -2.659365

Any number!

What is the best estimate of -15/16 + (-1/2)

Answers

Answer:

-23/16

Step-by-step explanation:

Is the square root of 16.45 a rational number or irrational number?

Answers

Answer:

Irrational

Step-by-step explanation:

The square root of 16.45 would be a number that will never end, making it irrational.

Answer:

irrational

Step-by-step explanation:

4.05585995813

does not terminate or repeat

not an integer

Paul spent 1/4 of his money on food and another 3/10 of his money on soda. If he had 5 dollars to begin , how much money does he have left?

Answers

1/4 x 5 = 1.25
5-1.25 = 3.75
3/10 x 3.75 = 1.125
3.75-1.125 =

$2.625

an average student spend 4½ minutes to read one page of a book. how much time will he need to read 5½ pages?​

Answers

Answer:

About 24.75 minutes or 24 3/4 minutes

Step-by-step explanation:

(8 x __) x 7 = 8 x (9 x 7)

Answers

Answer:

the answer in the blank is 9

Step-by-step explanation:

Write the equation in standard form.
5−3(x−2y)=1−5x

Answers

Answer:

2x+6y=-4

Step-by-step explanation:

EEEEEEEEEEEEE help pls and ty :')

Answers

Answer:

117

Step-by-step explanation:

On her last science test, Mariah missed four questions. For those questions, she received a total of -20 points. On the retake, Mariah missed a quarter of the number of questions that she missed the first time. If the tests were scored the same way, how many points did she receive for missing questions on the retake?

-5
-10
-80
-16

Answers

Answer:

5

Step-by-step explanation:

in the beginning, she missed 4 questions and received -20 points. it means that each question missed is equal to -5 points.

So, finally, when she missed 1/4 of the four questions, it means that she missed only one question. So, she only received -5 points

What is the midpoint of a segment with endpoints at (3,5) and (7,7)

Answers

Answer:

5,6

Step-by-step explanation:

its a guesssssssssssssssssssssss

Determine the domain of the function (f of g)(x) where f(x)=1/ x+3, g(x) =2/x.

Answers

Answer:

(-infinity, -2/3)u(-2/3,0)u(0, infinity)

Step-by-step explanation:

since it is asking for f(g(x)) we plug g into x which looks like:

f(2/x)

now we plug that into the f(x) equation for all of the x's because that is what replaced the x so:

1/(2/x)+3

we look at the denominator so we can pull the 2/x+3 out and set it equal to zero, therefore solving for x

this gives us -2/3

and we get the 0 from g(x) 's denominator

that should be correct and hope this helps!

Help meeeee please .

Answers

Answer:

B

Step-by-step explanation:

The vertices of quadrilateral PQRS are P(-4, 2), Q(-1, 1), R(-1, -3), S(-3,-1).
The vertices of quadrilateral ABCD are A(-3, 7), B(0, 6), C(0,2), D(-2, 4) so that
PQRS = ABCD. Which best describes the congruence transformation?
(A) rotation 90° counterclockwise about the origin
(B) reflection in the y-axis
(C) translation along the vector (1,5)
(D) rotation 90° clockwise about the origin

Answers

I think the answer is D because I have a jut feeling

Please help! For each of the following relations, identify whether it’s a function or not and why, then state the domain and range.

Answers

Answer:

The first one is a function, the second one is a function, and the third one is not a function.

Domain for the first one, just list the x values. Same for range.

Domain and range for the second one are both all real numbers.

For the last one, solve the quadratic, and find the vertex. The range will be all numbers greater than the y on the vertex, while the domain is all real numbers.

Step-by-step explanation:

An easy way to tell if something is a function or not is to check that each input (or x-value) has a different output (or y-value.) The first one is not a function because in the table, we see that 1 gives an output of 9, but later on you see 1 also gives an output of 20.

If you're ever given a graph and asked this question, do the vertical pencil test. Start at the left of the graph, and slide your pencil over the graph (vertically) and if your pencil ever hits more than one point at a time, it's not a function. Hope this helped!

In the Mars Cars video game, players gain and lose points by avoiding or hitting obstacles on a martian race track. First, Gary gained 20 points by jumping over a crater. Then, he lost 45 points for getting stuck in a dust storm

Answers

Answer:

-25

Step-by-step explanation:

20 - 45= -25

Answer:

-25

Step-by-step explanation:

hi I've been having problems with this question. I need to get it done by tonight.
320÷b∙20 and 320÷(b∙20) for b=4

Answers

Answer:

First one equals 16, second equals 4

Step-by-step explanation:

b*20=20b

320/20=16

Second

320/(b*20)

Replace b with 4 so it would be 320/(4*20)

4*20=80, 320/80=4

A candy store owner has chocolate candies worth $2.50 per pound and sour candies worth $0.90 per pound. How much of each kind of candies should she combine to get 60 lb of mixed candies worth $1.70 per pound? (Include units with your numerical answers.)

Answers

Answer:

Weight of chocolate candies = 30lbs

Weight of sour candies = 30lbs

Step-by-step explanation:

We are told in the question that :

Chocolate candies worth $2.50 per pound

Sour candies worth $0.90 per pound. How much of each kind of candies should she combine to get 60 lb of mixed candies worth $1.70 per pound?

Let x represent the number of pounds of chocolate candies

Let 60 - x represent the number of pounds of sour candies

Hence, we have the equation

x × $2.50 + (60 - x) × $0.90 = 60 × $1.70

= 2.5x + 54 - 0.9x = 102

Collect like terms

2.5x - 0.9x = 102 - 54

= 1.6x = 48

x = 48/1.6

x = 30 lbs

x represent the number of pounds of chocolate candies,

60 - x represent the number of pounds of sour candies

= 60 - 30

= 30lbs

Weight of chocolate candies = 30lbs

Weight of sour candies = 30lbs

Therefore, she should combine 30lbs of chocolate candies and 30lbs of sour candies to get 60 lb of mixed candies worth $1.70 per pound.

Write the sentence as an inequality.
The sum of a number y and 9 is at least -1.

Answers

y +9 >= -1

Sum of a number(y) and 9. Is greater than or equal to negative one. Sum means add, so add y, and 9. It has to be atleast negative one, so greater than (0,1,2,3...), or equal to(-1).

Hope this helps, if you have more questions, feel free to ask.

The sum of a number y and 9 is at least -1 as an inequality is y + 9 ≥ 1.

What is an inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

An expression,

The sum of a number y and 9 is at least -1.

To find the number in the numerator form,

The sum of y and 9,

y + 9

And the value is at least -1.

So,

y + 9 ≥ 1

Therefore, the inequality is y + 9 ≥ 1

To learn more about the inequality;

brainly.com/question/28823603

#SPJ2

A hospital stores one type of medicine in 2-decagram

containers. Based on the information given in the

box above, how many l-milligram doses are there in

one 2-decagram container?

A) 0.002

B) 200

C) 2,000

D) 20,000

Answers

Answer:

There are 20,000 milligrams in one 2-decagram container . Thus option D is correct.

Step-by-step explanation:

The given information is one type of medicine in 2 decagram container.

Here, we know ,

      1 decagram = 10 grams

and, 1000 milligrams =1 gram

now -: 2 decagram = 2 × 10grams   {since 1decagarm = 10 grams }

                               = 20 grams .

then ,                   = 20× 1000milligrams {since 1 gram = 1000 milligrams}

                           =20,000 milligrams .

Hence, the correct option is D that is 20,000 milligrams .

two containers filled with water are leaking. container A leaks at a rate of 2/3 gallon every 1/4 hour. Container B leaks at a rate of 3/4 gallon ever 1/3 hour. Determine which container is leaking water more rapidly

Answers

This might help u.....

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