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
saw5 [17]
3 years ago
8

Erin is buying cupcakes for her birthday party. Each cupcake costs $1.50. How many guests can she invite if her budget is $80 an

d she has already spent $16 on paper cups and plates? By the way, Erin thinks that each guest will want two cupcakes to eat.
Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

Answer:

About 21 People Can Go To Erin’s Party.

Step-by-step explanation:

Equation:

(80-16)= 1.5x*2

How To Solve It:

step 1: (80-16)= 1.5x*2

step 2: 64 =1.5x*2

step 3: 64=3x

step 4: 64/3=3x/3

Answer: About 21 People Can Go To Erin’s Party.

You might be interested in
Heather received a 32% discount on a $34 shirt. After the 7% sales tax was added, how much did she pay for the shirt.
Marat540 [252]

Answer:

$15.17

Step-by-step explanation:

divide 34 by 32 = 1.0625. and divide it by the 7%= $15.17

5 0
3 years ago
Read 2 more answers
-3+x=4 solve this question
user100 [1]
Just add 3 to both sides
x = 7
4 0
3 years ago
Read 2 more answers
Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y r
kirill [66]

Answer:

x (smallest to largest) = 0,45 ,55

y (smallest to largest) = 0,10,40

Step-by-step explanation:

(hours)        Dinghy Rowboat        Labor Available

Metal Work 2             3                       120

Painting         2              2                        110

Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.

So, total hours for metal work = 2x+3y

So, total hours for Painting = 2x+2y

So, equation becomes:

2x+3y\leq 120

2x+2y\leq 110

x\geq 0

y\geq 0

Plot the inequalities

Refer the attached figure

So, the vertices of the feasible region are (0,40),(45,10) and (55,0)

So, x values are 0 , 45 and 55

x represents the number of dinghies

So, x (smallest to largest) = 0,45 ,55

y values are 40,10,0

y represent the number of rowboats.

So, y (smallest to largest) = 0,10,40

3 0
3 years ago
Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5
lakkis [162]

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer:  v = 5v + 4u + 1.5sin(3t),

  • 0
  • 1
  •  4
  • 5
  • 0
  • 1.5sin(3t)
  • 1
  •  2.5

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t)        where u'(1) = 2.5   u(1) = 1

v represents the "velocity function"   i.e   v = u'(t)

As v = u'(t)

<em>u' = v</em>

since <em>u' = v </em>

v' = u"

v'  = 5u' + 4u + 1.5sin(3t)   ( given that u" - 5u' - 4u = 1.5sin(3t) )

    = 5v + 4u + 1.5sin(3t)  ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt \left[\begin{array}{ccc}u&\\v&\\\end{array}\right]= \left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]  \left[\begin{array}{ccc}u&\\v&\\\end{array}\right] + \left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]  = \left[\begin{array}{ccc}1\\2.5\\\end{array}\right]

7 0
3 years ago
On saturday, Mark sold 2 7/8 gallons of lemonade. On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, i
erma4kov [3.2K]
2 7/8= 2/3L
Divide both sides by 2/3 and get 4.31 or 4 5/16
8 0
3 years ago
Other questions:
  • Its all one big question
    6·2 answers
  • Phil invested $600 at 4% compounded monthly for 6.5 years . How much interest did the investment earn?
    8·1 answer
  • Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a seco
    8·1 answer
  • What is the measure of the missing angle?​
    7·1 answer
  • The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15.
    10·1 answer
  • If you can help that be great!​
    11·1 answer
  • Rachael is 5 ft 6 in tall . She notices that her shadow is 4 ft long and the shadow of a nearby water tower is 100 ft long . Wha
    9·1 answer
  • Which ratio are 18:3 and 6:1 equally
    7·1 answer
  • Best anwser gets brain thank you show work​
    12·1 answer
  • SOMEONE PLS HELP ME ASAP ON THESE QUESTIONS!!!!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!