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
Maslowich
3 years ago
7

la spent her whole allowance of $2.00, plus the 16¢ she had left over from last week, onbubble gum. If the pieces of gum had bee

n a penny cheaper, she would have received threemore pieces than she did. How many pieces did she actually buy?
Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0
Let the number of pieces of gum be g and the cost of each piece be c.
gc=2.16. Also, (g+3)(c-0.01)=2.16.
So gc=(g+3)(c-0.01)=gc-0.01g+3c-0.03.
And -0.01g+3c=0.03 and c=2.16/g. -0.01g+6.48/g=0.03.
-0.01g²+6.48=0.03g; 0.01g²+0.03g-6.48=0 which can be more conveniently written:
g²+3g-648=0=(g+27)(g-24) so g=24, the number of pieces she actually had.
CHECK The cost of the gum, c=2.16/24=9 cents.
A penny cheaper makes the gum 8 cents a piece and she could have bought 27 pieces instead of 24.
You might be interested in
Tameka built 1/2 of a shed on Monday and 2/5 of the shed on Tuesday Tameka finished building the shed on Wednesday what fraction
tigry1 [53]
1/10 because 1/2 =5/10 and 2/5=4/10 and 5/10+4/10=9/10 and then 10/10-9/10=1/10
5 0
4 years ago
Read 2 more answers
Judi's father is 6 feet tall.the minimum height to ride a rollercoaster is given in inches.how many inches tall is judi's father
ivanzaharov [21]
Her father is 72 inches. Hope this helped! Good luck! :)
4 0
3 years ago
Read 2 more answers
Im having a brain fart moment rn. Does f(27) mean to replace the x with 27 or f(x) with 27
vovangra [49]

Answer:

it means replace x with 27

Step-by-step explanation:

\sqrt[3]{27 + 98}  + 5 =  \sqrt[3]{125}  + 5 = 5 + 5 = 10

8 0
3 years ago
Read 2 more answers
Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. y = 5 + cot x - 2 csc x 0 1 2 3
oksian1 [2.3K]

Answer with explanation:

The given function in x and y is,

  y= 5 +cot x-2 Cosec x

To find the equation of tangent, we will differentiate the function with respect to x

y'= -\csc^2 x+2 \csc x\times \cot x

Slope of tangent at (π/2,3)

 y'_{(\frac{\pi}{2},3)}= -\csc^2\frac{\pi}{2} +2 \csc \frac{\pi}{2}\times \cot \frac{\pi}{2}\\\\=-1+2\times 1 \times 0\\\\= -1

Equation of tangent passing through (π/2,3) can be obtained by

\rightarrow \frac{y-y_{1}}{x-x_{1}}=m(\text{Slope})\\\\ \rightarrow \frac{y-3}{x-\frac{\pi}{2}}=-1\\\\\rightarrow 3-y=x-\frac{\pi}{2}\\\\\rightarrow x+y-3-\frac{\pi}{2}=0

⇒There will be no Horizontal tangent from the point (π/2,3).

5 0
4 years ago
Write an equation for the line that is parallel to the given line and contains the given point. y=4/3x-7; (7,2)
nalin [4]

Answer:

y = (4/3)x - (22/3)

Step-by-step explanation:

If it's parellel than they have the same slope.

m = 4/3

y = mx + b

y = (4/3)x + b

2 = (4/3)(7) + b

(6/3) = (28/3) + b

-(28/3) -(28/3)

(-22/3) = b

7 0
3 years ago
Other questions:
  • Explain why a quadratic equation is used to model problems involving finding a maximum or minimum.
    10·1 answer
  • What is 350/1000 in a decimal? 
    13·2 answers
  • K is less than5 but no less than -3?
    14·1 answer
  • Help please <br> Will give brainlyest
    11·2 answers
  • Water is poured into a bowl. The volume V of water in the bowl (in ml) after t seconds is given by the function V = 3t 2 + 4. (b
    7·1 answer
  • The perimeter of a rectangle is the same as the
    7·1 answer
  • Pls pls pls pls help!
    14·2 answers
  • What is the cubed root of 1331
    12·2 answers
  • Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. chris is playing a
    10·1 answer
  • I need help please and thank you!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!