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
Virty [35]
2 years ago
14

I need the answer to this systems word problem. Step by step explanation please

Mathematics
1 answer:
algol [13]2 years ago
6 0

Answer:

25 miles, and the cost will be $37.50.

Step-by-step explanation:

Mose's charge can be represented by f(x) = 0.5x + 25, Holly's charge can be represented by g(x) = 0.3x + 30.

Set the equations equal to each other: 0.5x + 25 = 0.3x + 30.

0.2x = 5

x = 25

Substitute 25 for x: f(x) = 0.5(25) + 25 = 37.5, g(x) = 0.3(25) + 30 = 37.5.

So f(x) = g(x) at x = 25, and the output will be 37.5.

You might be interested in
In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?
lana [24]

Answer is D

After dilation the image remain same but it is stretched or shrinked to the original size.

That means the ratio of the sides and the angles between the sides remain same .

Here we did dilation of ABCD which made it to EFGH.

Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.

the corresponding sides are : AB and EF

BC and FG

CD and GH

DA and HE

* Let us find ratio of the sides AB and BC

given that AB= 10 and BC= 14

AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )

* the raio of the corresponding sides EF and FG should be same ( 5/7)

in the option D EF= 25 and FG= 35

so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )

Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD

4 0
3 years ago
Read 2 more answers
Rae earns $60 for playing music on saturday nights at the local coffee house. she makes an average of $5.25 in tips per hour. wr
insens350 [35]
Okay. So for this equation, she would make $60, plus $5.25 in tips each hour. So for this, she would get $60 + 5.25h. Plug in 4 hours, and she would make $21 off of tips, plus the $60, which brings her up to $81 total. The answer is C.
6 0
3 years ago
What is 1.323 as a percent
My name is Ann [436]
1.323 as a percent is 132.3% because you take the decimal and move it two spaces to the right->
3 0
3 years ago
Read 2 more answers
17.5% commission 1,500
snow_tiger [21]

Answer:

i think you have to take the

17.5

------ × 1500

100

Step-by-step explanation:

i guess.

3 0
3 years ago
Integers contain the whole numbers.true or false
julia-pushkina [17]
True, Integers mean "whole", and it cannot be a fraction or decimal


hope this helps
4 0
3 years ago
Read 2 more answers
Other questions:
  • The difference of a number and eight, divided by ten
    15·1 answer
  • Name three real life situations in which you would use a positive number
    5·1 answer
  • Pls help w math !
    13·2 answers
  • jesse purchased a full tank of gas on Thursday . on Friday, he yook a road trip and used 1/2 of the tank. on Saturday, he did so
    10·1 answer
  • Can you plz help me ?! It's urgent for today's homework
    10·2 answers
  • Let f(x)=x^2-2x-4
    14·1 answer
  • Find x when y=6 in the literal equation 5x +4y =39
    8·2 answers
  • The sum of two numbers that are at the ratio of 5:7 is 372. Find these numbers.
    15·2 answers
  • Can someone help me with this
    8·1 answer
  • Candice's mother gave her $75.38 to go to the store. Candice bought
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!