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
irga5000 [103]
3 years ago
6

Lynn has $8.58 in quarters and pennies. If she has eight times ans many pennies as quarters, how many of each does she have?

Mathematics
1 answer:
svp [43]3 years ago
4 0
Let q = number of quarters.
Let p = number of pennies.

A quarter is worth $0.25. q quarters are worth 0.25q.
A penny is worth $0.01. p pennies are worth 0.01p.
All coins together are worth 0.25q + 0.01p.

We are told that all coins together are worth $8.58, so 0.25q + 0.01p must equal 8.58.

0.25q + 0.01p = 8.58

That is our first equation.

She has 8 times as many pennies as quarters, so

p = 8q

That is our second equation.

We have a system of equations.

0.25q + 0,.01p = 8.58
p = 8q

Since the second equation is already solved for p, we can use the substitution method.

We will substitute 8q for p in the first equation.

0.25q + 0.01p = 8.58

0.25q + 0.01(8q) = 8.58

0.25q + 0.08q = 8.58

0.33q = 8.58

q = 26

p = 8q = 8 * 26 = 208

She has 26 quarters and 208 pennies.

Check:
26 quarters are worth 26 * $0.25 = $6.50
208 pennies are worth $2.08
$6.58 + $2.08 = $8.58
The value of the coi8ns is correct.

Also, 208/26 = 8. The number of pennies is really 8 times the number of quarters.

Our solution is correct.
You might be interested in
In a survey of 420 people, 85% said they drink coffee
PSYCHO15rus [73]
420 x 0.85 = 357

357 out of the 420 said they drink coffee. 
6 0
3 years ago
I legit do not know which it is.
nexus9112 [7]

Given:

The inequality is

c\leq 7

Where, c is the number of cars in the parking lot.

To find:

The graph for the given inequality.

Solution:

We have,

c\leq 7

Here, the value of c can be any real number less than or equal to 7. But c is the number of cars, so c must be a non-zero integer.

Since, all the non-zero integer values less than or equal to 7 are included in the solution set, therefore, c = 0,1, 2,3,4, 5,6,7.

In the graph of the given inequality, there are close circles on  0,1, 2,3,4, 5,6,7 as shown in option D.

Therefore, the correct option is D.

4 0
3 years ago
Dana wants to make two types of dog treats. She has 10 cups of peanut butter and 12 cups of flour. Her dog bone treat recipe use
alexdok [17]
<span>D. Let x represent the number of trays of dog bone treats made and y represent number of trays of oatmeal dog treats made.</span>
5 0
4 years ago
Read 2 more answers
Find -x when x = 80 /49 what is the answer and explain please
Vaselesa [24]
All you do is add a negative sign to 80/49 and then simplifiy
7 0
3 years ago
Help Please !!!! Very Confused, do not understand how to complete these 2 questions properly.
Varvara68 [4.7K]

Answer:

11) tan(7x+3) = OE/OJ

7x+3=arctan(OE/OJ)=45

x=6


12) a) x = 40

<ajq = <acq (base angles of isosceles triangle)

50+x+90=180

x=40


b) they are congruent triangle, reason HL   (hypotenuse, leg)

aj=ac

aq=qa

right angle equal

8 0
4 years ago
Other questions:
  • What should the exponent be for 11am?I need help now and quick.
    13·1 answer
  • 45 is 60% of what number
    6·2 answers
  • What is M A.<br> 42°<br><br><br> B.<br> 50°<br><br><br> C.<br> 58°<br><br><br> D.<br> 100°
    15·2 answers
  • 3^2x+3-4(3^x+1)+1=0​
    9·1 answer
  • Monique says that the sine of angle A is 5/13. Her teacher marks her wrong, but sometimes Monique’s teacher makes mistakes when
    14·1 answer
  • Write an equation for the line perpendicular to y = 6x - 5 that contains (2, 10).
    12·1 answer
  • Tv= $350 discount = 25%
    7·1 answer
  • Need help please check out my questions!!
    11·1 answer
  • HELP<br><br> ANGLE S = ___ DEGREES
    7·2 answers
  • Please someone help me on these 4 questions. Please don’t put a link. Please someone help me.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!