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
Kobotan [32]
2 years ago
7

Five widgets and three gadgets cost $109. 90.

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
5 0

Answer:

one gadget costs $15.80

Step-by-step explanation:

Let w = cost of one widget

Let g = cost of one gadget

Given:

  • Five widgets and three gadgets cost $109. 90

⇒ 5w + 3g = 109.9

Given:

  • One widget and four gadgets cost $75. 70

⇒ w + 4g = 75.7

Rewrite  w + 4g = 75.7  to make w the subject:

⇒ w = 75.7 - 4g

Substitute into  5w + 3g = 109.9  and solve for g:

⇒ 5(75.7 - 4g) + 3g = 109.9

⇒ 378.5 - 20g + 3g = 109.9

⇒ 378.5 - 109.9 = 20g - 3g

⇒ 268.6 = 17g

⇒ g = 15.8

Therefore, one gadget costs $15.80

To find the cost of one widget, substitute the found value for g into
w = 75.7 - 4g and solve for w:

⇒ w = 75.7 - 4(15.8)

⇒ w = 75.7 - 63.2

⇒ w = 12.5

Therefore, one widget costs $12.50

You might be interested in
Your credit card company charges 18 % APR (Annual Percentage Rate )
hjlf

Answer:

c

Step-by-step explanation:

7 0
3 years ago
Write five expressions that are equivalent to 20x+100
Phoenix [80]
4(5x+25)
5(4x+20)
10(2x+10)
2(10x+50)
20(x+5)

hope this helps
4 0
3 years ago
Which statement is not true about the pattern shown?<br> 2 4 8 16<br> 3: 612' 24'
hram777 [196]
Answer:

Each fraction is greater than the previous fraction.

Explanation:

The bigger the denominator, the smaller the fraction.
8 0
3 years ago
Read 2 more answers
A driveway is shaped like a parallelogram with a base of 28 ft and a height of 17 ft. covering the driveway with crushed stone w
timofeeve [1]
1309 should be the anwser
6 0
3 years ago
What is the solution to the following system of equations? 4x + 2y = 18 x − y = 3
Ber [7]

For this case we have the following system of equations:

4x + 2y = 18\\x-y = 3

To solve, we clear "x" from the second equation:

x = 3 + y

We substitute "x" in the first equation:

4 (3 + y) + 2y = 18\\12 + 4y + 2y = 18\\12 + 6y = 18

We clear the value of the variable "y":

6y = 18-12\\6y = 6\\y = \frac {6} {6}\\y = 1

We look for the value of the variable "x":

x = 3 + y\\x = 3 + 1\\x = 4

Thus, the solution of the system is given by:

(x, y) :( 4,1)

Answer:

(x, y) :( 4,1)

Option D

4 0
3 years ago
Other questions:
  • I need help on this can someone please help me ?
    5·1 answer
  • I got ALL of the answers but I can't explain it at all... please explain guys I have NO idea!
    13·1 answer
  • HELP ASAP PLEASE!!!
    11·2 answers
  • Which statement best describes the expression 3 + 2 ÷ y? (1 point) The quotient of y and the sum of 3 and 2 The quotient of the
    6·1 answer
  • Kevin claims he can draw a trapezoid with three right angles. Is this possible? Explain
    14·2 answers
  • 16/44 as its simplest form
    11·1 answer
  • Renee needs 32 strands of twine for an art project. Each
    12·1 answer
  • Find m qrs if m prs =2x+91 m qrp=171 +x
    13·1 answer
  • What the answer plzzhelppp
    12·1 answer
  • Tom bought a bicycle on hire purchase from a store. He made a down payment of $250.00 and paid $20.75 every month for a year . H
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!