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
just olya [345]
2 years ago
5

Allison’s cupcake and cookie budget for her party is $105. She would like to have at least 40 cupcakes and cookies combined, and

would like to have at most 5 more cupcakes than cookies. If cupcakes sell for $2.50 and cookies for $1.50, which system of inequalities could help Allison determine possible numbers of cupcakes (a) and cookies (b) that she should buy? ( a ≥ 0 , b ≥ 0 )
Mathematics
1 answer:
FinnZ [79.3K]2 years ago
4 0

Answer:

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

Step-by-step explanation:

We are told she would like to have at least 40 cupcakes and cookies combined.

If a is number of cupcakes and b is number of cookies, then this inequality is;

a + b ≥ 40

Secondly, we are told she would like to have at most 5 more cupcakes than cookies.

Thus, the inequality is;

a + 5 ≤ b

Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50

Thus, the inequality is;

2.50a + 1.50b ≤ 105

Finally, the 3 inequalities are;

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

You might be interested in
After 4 years eldi will be three times the age he had 10 years ago. Using algebra find the age of eldi
Setler [38]

Suppose that Eldi has x years old now :

x + 4 = 3 × ( x - 10 )

x + 4 = 3x - 30

Add both sides 30

x + 4 + 30 = 3x - 30 + 30

x + 34 = 3x

Subtract both sides x

x - x + 34 = 3x - x

34 = 2x

2x = 34

Divide both sides by 2

2x ÷ 2 =34 ÷ 2

x = 17

_____________________________

Thus Eldi is 17 .

3 0
3 years ago
Does anyone know this?!?.....
KATRIN_1 [288]
I believe the answer is "C"
3 0
3 years ago
**POINTS**Find the values of X and y
Andrej [43]

Answer:

y=105 for x

y=75

Step-by-step explanation:

2y-30=180                          180 (straight line)     180-105=75

+30      +30

2y=210

/2     /2

7 0
2 years ago
Choose the system of equations which makes the following graph:
solmaris [256]

(5 | -2) should be the solution of the equations

So it workt for c)

c)

3*(5) - 5*(-2) = 25

(5) + 5*(-2) = -5

6 0
3 years ago
A square garden has a side length of 11 meters. What is the area of the garden? What is the perimeter?
Talja [164]

Answer:

<em>Area</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>garden</em><em>=</em><em>1</em><em>2</em><em>1</em><em> </em><em>square</em><em> </em><em>meter</em>

<em>perimeter</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>garden</em><em>=</em><em>4</em><em>4</em><em> </em><em>meter</em>

Step-by-step explanation:

Area of a square=side*side

=11*11

=<u>1</u><u>2</u><u>1</u><em><u>s</u></em><em><u>q</u></em><em><u>u</u></em><em><u>a</u></em><em><u>r</u></em><em><u>e</u></em><em><u> </u></em><em><u>meter</u></em>

Perimeter of a square garden=side*4

=11*4

=44 m

6 0
3 years ago
Read 2 more answers
Other questions:
  • the initial population of a town is 16,237 and it grows with a doubling time of 24 years. what will the popluation be in 2 years
    10·1 answer
  • 10 8/9 = change to in improper fraction
    14·1 answer
  • Which system of equations has the same solution as the system below?
    12·1 answer
  • during Sonia's trip across the country that she travel 2884 miles her trip took 7 Days find a unit rate to represent the average
    5·1 answer
  • Ricardo uses a rule to make a pattern of numbers .all the number r odd .which could be the rule
    9·1 answer
  • a stadium floor that is in the shape of a circle has a diameter with a length of 210 yards which of these measurements is closes
    14·1 answer
  • PLEASE HELP RIGHT NOW :(
    8·1 answer
  • If x, y, and z are positive integers and 2^x * 3^y * 5^z = 54,000, what is the value of x + y + z
    9·1 answer
  • 1) Qual é a equação que representa o perímetro de 103 cm de um triângulo escaleno? *
    13·1 answer
  • What is the median of the data represented by the box plot?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!