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
Sav [38]
3 years ago
8

Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgete

d $2,000 for their reception. if the reception hall charges a $90 clean-up fee plus $34 per person, find the greatest number of people that they may invite and still stay within their budget.
Mathematics
1 answer:
mestny [16]3 years ago
4 0

If p represents the number of people attending, then the charges will be

... 90 +34p

and Mark and Heather want that value to be less than or equal to 2000.

... 90 +34p ≤ 2000

... 34p ≤ 1910

... p ≤ 56.2

The greatest number of people attending can be 56.

_____

If Mark and Heather come without invitations, the greatest number they can invite is 54.

You might be interested in
Imani spent half of her weekly allowance playing mini-golf. To earn more money, her parents let her wash the car for $4. What is
joja [24]

Answer:

$16

Step-by-step explanation:

This method is probbaly working backwards. I'm not sure.

12 - 4 = 8 (How much she was left with if she didn't wash the car for 4 dollars)

8 x 2 = 16 (They mentioned she spent half of her weekly allowance)

6 0
2 years ago
Represent each of these relations on {1, 2, 3, 4} with a matrix (with the elements of this set listed in increasing order). a) {
Irina-Kira [14]

Answer:

for a  a) {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}

\left[\begin{array}{cccc}0&1&1&1\\0&0&1&1\\0&0&0&1\\0&0&0&0\end{array}\right]

for b

b) {(1, 1), (1, 4), (2, 2), (3, 3), (4, 1)}

\left[\begin{array}{cccc}1&0&0&1\\0&1&0&0\\0&0&1&0\\1&0&0&0\end{array}\right]

for c) {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)}

\left[\begin{array}{cccc}0&1&1&1\\1&0&1&1\\1&1&0&1\\1&1&1&0\end{array}\right]

for d d) {(2, 4), (3, 1), (3, 2), (3, 4)}

\left[\begin{array}{cccc}0&0&0&0\\0&0&0&1\\1&1&0&1\\0&0&0&0\end{array}\right]

Step-by-step explanation:

in matrix, arrays are placed in rows , which represents the horizontal sides from left to right, while arrays in the column are placed vertically from top to bottom. Here, we placed the arrays in a 4x4 matrix

for a  a) {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}

\left[\begin{array}{cccc}0&1&1&1\\0&0&1&1\\0&0&0&1\\0&0&0&0\end{array}\right]

for b

b) {(1, 1), (1, 4), (2, 2), (3, 3), (4, 1)}

\left[\begin{array}{cccc}1&0&0&1\\0&1&0&0\\0&0&1&0\\1&0&0&0\end{array}\right]

for c) {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)}

\left[\begin{array}{cccc}0&1&1&1\\1&0&1&1\\1&1&0&1\\1&1&1&0\end{array}\right]

for d d) {(2, 4), (3, 1), (3, 2), (3, 4)}

\left[\begin{array}{cccc}0&0&0&0\\0&0&0&1\\1&1&0&1\\0&0&0&0\end{array}\right]

7 0
3 years ago
What is the exact value of sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰?
Zarrin [17]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which number does NOT represent a rational number
defon

Answer:

Step-by-step explanation:

B is not rational. B = sqrt(3*3 * 2 * 5) = 3 sqrt(10)   sqrt(10) is irrational.

8 0
3 years ago
Read 2 more answers
On Pennsylvania's interstate highway the speed limit is 65 mph. The minimum speed is 45 mph. Write a compound inequality that re
qaws [65]

Let x be the speed.

Maximum is 65 so x needs to be less than or equal to 65.

The minimum is 45, so x also has to be greater than or equal to 45

45 <= x => 65

6 0
3 years ago
Other questions:
  • What is the median of the data set?
    6·1 answer
  • HELP PLEASE <br><br><br> FIND THE VALUE OF THE FOLLOWING EXPRESSION
    12·1 answer
  • Solve the problem as directed. The product of the base and height of a rectangle is the area. Can this statement be represented
    9·2 answers
  • . The number of parking tickets handed out at BCCC was twice the number of tickets handed out last year. The number of tickets h
    15·1 answer
  • A type of oil has a density of 0.90 LaTeX: g/cm^3g / c m 3 , and water has a density of 1.00 LaTeX: g/cm^3g / cm 3 . A block of
    10·1 answer
  • A baker's bread recipe calls for 3
    10·1 answer
  • Translate the word phrase into a math expression.
    8·1 answer
  • 50 POINTS IF YOU CAN ANSWER IT!
    11·1 answer
  • Solve for X. Geometry
    5·1 answer
  • 4.2x = 13.23 (i need help please!!! it'd mean a lot!!!) its solving equations btwwww
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!