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
KatRina [158]
3 years ago
12

8.4.9 On or off the line & Practice Problems

Mathematics
1 answer:
Andrews [41]3 years ago
4 0

Answer:

Number of quarters → 15

Number of dimes → 2

Step-by-step explanation:

Let the number of dimes I have = y

And number of quarters = x

Since, I have amount in my pocket = $2

Therefore, 0.10y + 0.25x = 2

100(0.10y + 0.25x) = 100×2

25x + 10y = 200

5x + 2y = 40

2y = -5x + 40

y = -2.5x + 20 ---------(1)

Total number of coins in my pocket = 17

x + y = 17

y = -x + 17 ---------(2)  

By using a graphing calculator we can graph these two lines (As attached)

Solution of the given system of equations will be the point of intersection of these lines.

Solution → (2, 15)

Number of quarters → 15

Number of dimes → 2

You might be interested in
Cheryl is planning to go to a four-year college in two years. She develops a monthly savings plan using the estimates shown. Wha
Alik [6]

Answer:

$541.67 per month

Step-by-step explanation:

Tuition and other expenses = $8,250 per semester.

There are two semesters in a year

She has 4 years to spend

Total semester=4years*2semesters

=8 semesters

4 years in college which is a total of 8 semesters.

Total Tuition and other expenses = $8,250 * 8

= $66,000

She needs a total of $66,00 to complete her college

Assistance from parents=$15,000

Financial aid(per semester)=$4750

Total financial aid=$38,000

Total assistance=

Assistance from parents+ financial aid

=$15000+$38,000

=$53,000

Total savings=Total amount needed - Total assistance

=$66,000 - $53,000

=$13,000

She needs to save $13,000 in two years

There are 12 months in one year

2 years=2*12=24 months

Monthly savings=Total savings/24 months

=$13,000/24

=$541.666666

To the nearest cent

=$541.67

3 0
3 years ago
Find the total weight of 10 chunks of cheese at 3/4 a pound
Svetllana [295]
3/4 lb × 10 chunks =
3/4 × 10 =
30/4 = 7 2/4 = 7 1/2 lbs
5 0
3 years ago
A roller coaster can accommodate 18 riders in 8 minutes. Complete the table with equivalent ratios.
12345 [234]

Answer:

36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes.

Step-by-step explanation:

The roller coaster can accommodate 9 riders every 4 minutes. 36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes all follow the common ratio.

7 0
3 years ago
Chase consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Chase's body
PIT_PIT [208]

Answer:

(a) The 5-hour decay factor is 0.5042.

(b) The 1-hour decay factor is 0.8720.

(c) The amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

Step-by-step explanation:

The amount of caffeine in Chase's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2542.

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

(a)

Compute the 5-hour decay factor as follows:

5-hour\ decay\ factor=(0.8720)^{5}\\=0.504176\\\approx0.5042

Thus, the 5-hour decay factor is 0.5042.

(b)

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

Thus, the 1-hour decay factor is 0.8720.

(c)

The equation to compute the amount of caffeine in Chase's body is:

A = Initial amount × (0.8720)<em>ⁿ</em>

It is provided that initially Chase had 171 mg of caffeine, 1.39 hours after consuming the drink.

Compute the amount of caffeine in Chase's body 2.39 hours after consuming the drink as follows:

A = Initial\ amount \times (0.8720)^{2.39} \\=[Initial\ amount \times (0.8720)^{1.39}] \times(0.8720)\\=171\times 0.8720\\=149.112

Thus, the amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

4 0
3 years ago
PLEASE HURRY!!!
Mashutka [201]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Robin earned $4,320 in 9 weeks. How much did he earn working for a full year? (Assume Robin worked 50 weeks during the year.)
    5·2 answers
  • In a randomly generated list of numbers from 0 to 8 what is the chance thag each number will occur?
    13·1 answer
  • The odds that you will pick a heart from a standard deck of 52 cards is 13:39.<br> True or False?
    9·2 answers
  • What is measure of angle R?
    14·1 answer
  • PLZ HELP ME!!!!! AND NO LINKS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    14·2 answers
  • The first cube has a side length of 3 units. The second cube has a side length of 5 units. Write an expression that you can use
    11·1 answer
  • The angles in a triangle are represented by X, X+10, and x+50. What is the measure of the largest angle? 80°, 70°, 100°, 90°.​
    5·2 answers
  • The original price of a bicycle is $150. There is 3% sales tax on all purchases. What is the selling price of the bicycle includ
    12·1 answer
  • A machine should fill a bag with 50 pounds of sand. The actual mass is allowed to vary by up to 2 ounces. Write and solve an abs
    13·1 answer
  • You have 5 cups of rice to make bibimbap, a popular Korean meal. The recipe calls for $\frac{4}{5}$
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!