answer.
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
kupik
7 days ago
5

The average rate of the first part of Yi’s walk on a park loop was 4 miles per hour. She then met up with a friend and the two w

alked the rest of the way at an average rate of 5 miles per hour. The entire 3-mile walk took Yi 42 minutes (0.7 hour). Which equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend?
Mathematics
2 answers:
Zina [9.1K]7 days ago
8 0
During this phase, she traveled at <span>4 miles per hour (x*4)

and for the remainder of the distance (which is 0.7-x, since the total time was 42 minutes, thus the rest equates to 0.7-x), her speed was 5 miles per hour - therefore the distance covered was (0.7-x)*5 m/h



. The overall distance totaled 3 miles, so by combining both distances, we arrive at this equation:

x*4+ (0.7-x)*5=3

removing the brackets gives us:

4x+0.7*5-5x=3
</span>
<span>4x+3.5-5x=3

subtracting 3.5 from each side yields:
4x-5x=3-3.5
-x=-0.5
 
multiplying both sides by (-1)
x=0.5:

therefore, she walked for half an hour by herself, which amounts to 30 minutes!</span>
Zina [9.1K]7 days ago
5 0

Response:

D, 4x + 5(0.7 – x) = 3.

Detailed explanation:

yw egen2020

You might be interested in
What is the monthly finance charge if the average daily balance is $15, the daily periodic rate is 0.06%, and the number of days
Leona [9260]

Given

The daily average balance is $15.

The daily periodic interest rate = 0.06%.

The cycle consists of 30 days.

Calculate the monthly finance charge.

To justify:

Let’s denote the monthly finance fee as x.

According to the details provided:

The average daily balance = $15.

The daily periodic rate = 0.06%,

First, we convert 0.06% to decimal:

=\frac{0.06}{100}

= 0.0006.

Daily finance charge =  0.0006 multiplied by 15.

                                   =  0.009.

The number of days in the cycle totals 30.

Now, calculating the monthly finance charge:

The equation becomes:

x = 15 × 0.0006 × 30.

x = 0.009× 30.

x  = $0.27.

Thus, the monthly finance charge amounts to $0.27.

Thus proved.









4 0
17 days ago
mark transferred songs from his computer onto his portable music player. He transferred 2 6/7 songs in 1 2/3 minutes. How many s
Zina [9157]
(2 6/7) divided by (1 2/3) equals x over 1.
Cross-multiply and convert mixed numbers to improper fractions:
(5/3)x = 20/7
Solving for x:
x = (20/7) × (3/5)
x = 60/35, which simplifies to 1 5/7 songs per minute.
7 0
1 month ago
Dave is driving to Gilmore to visit his friend. If he wants to stop for lunch when he is about halfway there, in which town shou
babunello [8402]

Answer:

He should plan to stop at Springfield.

Step-by-step explanation:

Gilmore is located 26 miles away, so half of this distance is 13 miles.

The town closest to 13 miles is Springfield.

5 0
25 days ago
Read 2 more answers
Given: NM ∥ XZ Prove: △XYZ ~ △NYM Triangles X Y Z and N Y M are shown. Triangle X Y Z is smaller and sits inside of triangle N Y
lawyer [9226]

Answer:

Parallel

corresponding angles theorem

NYM

AA

Step-by-step explanation:  I DID IT ON EDGE!: )

We know that side NM is  _________________

✔ parallel

to side XZ. If we consider side NY as the transversal, angle pairs are formed. According to the  _____________

✔ corresponding angles theorem

, it follows that ∠YXZ is congruent to ∠YNM. Also, angle XYZ is congruent to angle  _____________

✔ NYM

due to the reflexive property. Hence, triangle XYZ is similar to triangle NYM by the  _____________

✔ AA

 similarity theorem.

7 0
26 days ago
(6.8x10^2) x (1.3x10^-3) answer as standard form
Svet_ta [9486]

Result:

0.884

Detailed steps:

Initially, calculate the exponents, perform the foil, combine like terms, and the resulting figure will be 0.884.

6 0
1 month ago
Other questions:
  • butter and flour are mixed in the ratio 2:3. paul has 640 grams of butter and 880 grams of flour. how much more flour does he ne
    9·1 answer
  • Wes and Libbie each surveyed groups of students to find whether they would prefer going to an art museum or to the zoo. Wes foun
    8·1 answer
  • Two fifths of the square of the number j in algebraic exprission
    8·2 answers
  • Scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. what i
    12·1 answer
  • Consider the system of equations. y = 3x + 2 y = − 2 3 x − 4 Explain why these particular equations can be graphed immediately.
    8·2 answers
  • A certain pen has been designed so that true average writing lifetime under controlled conditions (involving the use of awriting
    10·1 answer
  • 22.Island A is 160 miles from island B. A ship captain travels 170 miles from island A and then finds that he is off course and
    7·1 answer
  • Let c1(t) = eti + (sin(t))j + t3k and c2(t) = e−ti + (cos(t))j − 6t3k. Find the stated derivatives in two different ways to veri
    10·1 answer
  • Two car rental companies charge an initial rental fee plus a fee per day. The table shows the total costs of renting a car for x
    12·1 answer
  • The calculation needed to find the cost of the factory tour was $5(29 students). Melissa used the expression $5(20 + 9). Mrs. Ga
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!