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
Ronch [10]
2 years ago
5

Each week peggy drives two routes, route x and route y. One week she drives route x three times a d route y twice. She drives a

total of 144 miles that week. Another week she drives route x twice and route y five times. She drives a total of 217 miles that week. Find the length of each route
Mathematics
1 answer:
vovikov84 [41]2 years ago
8 0

Answer:

x = 26 , y = 33

Step-by-step explanation:

3x + 2y = 144 (1)

2x + 5y = 217 (2)

3x + 2y = 144

(divide the equation by 3)

x + (2/3)y = 48

x = 48 - (2/3)y

Plug into (2)

2[48 - (2/3)y] + 5y = 217

96 - (4/3)y + 5y = 217

11y/3 = 217 - 96

11y/3 = 121

y = 121×3/11

y = 33

x = 48 - (2/3)y

x = 48 - (2/3)(33)

x = 48 - 22

x = 26

You might be interested in
What is the equivalent to log(b^3/a)
Anastaziya [24]

Step-by-step explanation:

log(b³/a)

= logb³ - loga

= 3logb - loga

5 0
1 year ago
34 out of 99 how do you turn those in a decimal
yanalaym [24]

Answer:

o.3434343434343434343434343... (basically 0.34 with the bar over 34 to indicate it is repeating)

5 0
3 years ago
What is the measure of 31°<br><br> I need help
kotegsom [21]

Answer:

59°

Step-by-step explanation:

31°-90°=59°

F hahahahah jewish usually xD

8 0
2 years ago
Beth has already jogged 3 miles. She plans to jog less than 12 miles. Which inequality can be
8090 [49]

Answer:

x + 3 < 12

Hope this helps :)

8 0
3 years ago
Ebony's gross income is $46 660 with allowable tax deductions of $4120. a What is Ebony's taxable income? b Calculate the amount
jasenka [17]

Answer:

(a) Ebony's taxable income = $42,540

(b) Amount of tax due = $5190.3

(c) Amount of tax owed = $4810.3

Step-by-step explanation:

Ebony's gross income = $46,660 (given)

Allowable tax deductions = $4,120 (given)

(a) Taxable Income = Gross income - Tax deductions

Ebony's taxable income = $46,660 - $4,120

Ebony's taxable income = $42,540

(b) Amount of tax due = 22% of Taxable Income,

Refer to the USA Tax Brackets for 2019 (See Attached image)

Amount of tax due = 10% on first $9,700 + 12% on ($39475-$9700) + 22% on  ($42540-$39475).

Amount of tax due = 10% on first $9,700 + 12% on $29775 + 22% on $3065.

Amount of tax due = $970 + $3573 + $647.3

Amount of tax due = $5190.3

(c) Ebony pays $95 per week in tax. In four weeks (a month), she'd pay

$95 * 4 = $380

Amount of tax owed = Amount of tax due - Amount of tax paid

Amount of tax owed = $5190.3 - $380 = $4810.3

3 0
3 years ago
Other questions:
  • Help me please. Find the values of x and y that make these triangles congruent by the HL Theorum.
    13·1 answer
  • On a map, 1/2 inch represents 4/5 mile. What distance on the map represents 1 mile?
    10·1 answer
  • Help finding the length of arc RS using 3.14 for pi
    15·2 answers
  • Round to the nearest thousand 706421
    15·2 answers
  • Central High school has 850 students. There are 150 more girls than boys. Write the system representing this situation. How many
    5·1 answer
  • Whats the solution X3=9
    14·2 answers
  • Mitchell has decided to give his dog a longer leash to roam in the backyard. If the new 7 ft. leash is tied to the center pole i
    7·1 answer
  • 12/6 x 12= <br> simplify the answer
    10·2 answers
  • I need the answer. (will give brainliest)
    9·2 answers
  • I need help with the first question
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!