1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
konstantin123 [22]
3 years ago
5

Steve and Michele and celebrating their 30th anniversary by having a reception at the local reception hall. they have a budget o

f 3,500, the reception hall charges a 50 dollar clean up fee plus 31 dollars per person. find the greatest number of people they can invite and stay within their budget
Mathematics
1 answer:
serious [3.7K]3 years ago
3 0
$3,500 budget minus $50 clean up fee equals $3,450.
3500 - 50 = 3450

$3,450 divided by $31 per person equals 111.29
3450 / 31 = 111.29

111 people multiplied by $31 equals $3,441 plus $50 clean up fee equals $3,491
111 x 31 = 3441
3441 + 50 = 3491

They can invite 111 people and will have $9 to spare
You might be interested in
Guys pls make it fast <img src="https://tex.z-dn.net/?f=3%5E%7B3x-2%5C%5C%7D%20%3D%5Csqrt%5B3%5D%7B9%7D" id="TexFormula1" title=
zubka84 [21]
Ans: x=8/9
Explanation
3^3x-2=3^2/3
3x-2=2/3
3x=2/3+2
3x=8/3
x=8/9

8 0
2 years ago
El administrador de una cafetería sabe que vende diariamente 50 litros de jugo mixto. Para elaborar este jugo se emplean dos pre
Strike441 [17]

Answer:

<em>El administrador debe usar 37.5 litros de jugo al 5% y 12.5 litros de jugo al 25%.</em>

Step-by-step explanation:

<u>Sistemas de Ecuaciones</u>

Llamamos:

x = litros de jugo al 5% natural

y = litros de jugo al 25% natural

El administrador de la cafetería desea hacer 50 litros de jugo, luego:

x + y = 50                   [1]

Esos 50 litros de jugo deben tener 10% de jugo natural. Como cada parte de x aporta 5% y cada parte de y aporta 25%:

5x + 25y = 10*50 = 500

Dividimos entre 5:

x + 5y = 100             [2]

Restamos [2] menos [1]:

4y = 50

y = 50/4 = 12.5

De [1] tenemos que:

x = 50 - y = 50 - 12.5 = 37.5

El administrador debe usar 37.5 litros de jugo al 5% y 12.5 litros de jugo al 25%.

5 0
3 years ago
A cone has a volume of 2560π cm cubed and a heigh of 30 cm.
Korolek [52]

Answer:

r = 16 cm

g = 34 cm

LA = 1708.16 cm^2

Step-by-step explanation:

We have that for the cone, the formula is as follows:

v = pi / 3 * r ^ 2 * h

the first thing they ask is to calculate the radius, therefore we solve for r

r ^ 2 = 3 * v / (pi * h)

replacing the volume and height, it remains:

r ^ 2 = 3 * 2560 * pi / (pi * 30)

r ^ 2 = 3 * 2560/30 = 256

r = 16

Now, to calculate the slant height, that is to say g, we can calculate it knowing the height and the radius:

g ^ 2 = r ^ 2 + h ^ 2

g ^ 2 = 16 ^ 2 + 30 ^ 2

g ^ 2 = 1156

g = 34

The lateral area of the cone is given by the following equation:

LA = pi * r * g

replacing

LA = 3.14 * 16 * 34

LA = 1708.16 cm ^ 2

the lateral area is 1708.16 cm ^ 2

8 0
3 years ago
Evaluate 3a2 + 4b2 for a = 2 and b = 3
Lerok [7]
<span>The correct expression is
 3a^2 + 4b^2
 for a = 2 and b = 3
</span> 3*(2)^2 + 4*(3)^2=48
 The answer in this case is 48 
8 0
3 years ago
What is m&lt; 11?<br> PLZ HURRY
Snezhnost [94]

Answer:B 55

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Dr. Watson combines 400 mL of detergent 800 ml of alcohol and 1500 mL of water how many liters of solution does he have
    8·1 answer
  • Where can a range be found on a graph
    12·1 answer
  • A square playground has an area of 900 square feet. What is the length of each side of the playground
    6·2 answers
  • I’m not sure what the last answer is. Please help!
    10·2 answers
  • The table below shows all of the possible outcomes for rolling two six-sided number cubes. 1 2 First Number Cube Second Number C
    11·1 answer
  • The Length of a rectangle is 3 meters more than the width. The perimeter of the rectangle is 26 meters. if the width is B which
    7·2 answers
  • Help me yall-<br> its due tn but I'm going somewhere for the weekend.
    5·1 answer
  • 1. Nine decreased by three times the
    12·1 answer
  • Jill filed her taxes and found out that she owes an additional $1,500. Unfortunately, she can’t afford to pay that amount immedi
    12·1 answer
  • PLEASE HELP
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!