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
tatuchka [14]
3 years ago
7

Sophie practices the piano 105 minutes in 1 week. If t represents the total time she practices for any number of days, d, write

a proportional equation for t in terms of d that matches the context.
Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

Answer:

<h3>t = 15d</h3>

Step-by-step explanation:

You must first know that 1 week = 7days

If Sophie practices the piano 105 minutes in 1 week, this can be expressed as;

105 minutes = 7days

to calculate the total time t that she practices for any number of days, d, we will say;

t minutes = d days.

Solving both expression;

105 minutes = 7days

t minutes = d days.

Cross multiply;

7 * t = 105 * d

7t = 105d

Divide both sides by 7;

7t/7 = 105d/7

t = 15d

Hence a proportional equation for t in terms of d that matches the context is expressed as t = 15d

You might be interested in
a supermarket sells 2 kg and 4 kg of sugar a shipment of 1100 bags of sugar has a total mass of 2900 kg. How many 2 kg bags and
Vaselesa [24]

There are 750 (2 kg) bags and 350 (4 kg) bags in the shipment​

Step-by-step explanation:

The given is:

  • A supermarket sells 2 kg and 4 kg of sugar a shipment of 1100 bags of sugar
  • The total mass of the sugar is 2900 kg

We need to find how many 2 kg bags and 4 kg bags are in the shipment

Assume that x represents the number of 2 kg bags and y represents the number of 4 kg bags

∵ x is the number of 2 kg bags

∵ y is the number of 4 kg bags

∵ The total number of bags are 1100

- Add x and y, then equate the sum by 1100

∴ x + y = 1100 ⇒ (1)

∵ The total mass of sugar is 2900 kg

- Multiply x by 2 and y by 4 to find the mass of the bags, then

  add the two product and equate them by 2900

∴ 2x + 4y = 2900 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -2 to eliminate x

∴ -2x - 2y = -2200 ⇒ (3)

- Add equations (2) and (3)

∴ 2y = 700

- Divide both sides by 2

∴ y = 350

- Substitute the value of y in equation (1) to find x

∵ x + 350 = 1100

- Subtract 350 from both sides

∴ x = 750

There are 750 (2 kg) bags and 350 (4 kg) bags in the shipment​

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

4 0
3 years ago
Jan gives Ted a loan at 4% effective to be repaid by 10 annual payments of 100, followed by 5 annual payments of 200. Just after
olya-2409 [2.1K]

Answer:

139 ( D )

Step-by-step explanation:

Interest rate on loan = 4% = 0.04

Number of payments = 15

First 10 payments = 100 each

last 5 payments = 200 each

Calculating the value of K

K = [ ( 100 / 0.04 * ( 1-1 / 1.04^10 ) + 200/0.04 * ( 1-1 / (1 +0.04)^5)*  1 /1.04^10)

*  1.1 - 100 / 0.04 * ( 1-1 / (1+0.04)^5 ) - 200/0.04 * (1-1 /1.04^5) * 1/1.04^10)*0.04 / ( 1-1 / 1.04^5) * (1 + 0.04)^5

= 138.6051 ≈ 139

8 0
2 years ago
I need help ........
user100 [1]
Your answer would be:

Formula: I = P * r  * t
P = Principle $5000
R = Rate 2.5% per year, or in decimal form, 2.5/100 =0.025
T = Time involved 7 years time period
I = Interest


Part A:
P = 5000 
R = 2.5%, or .025


Part B: Riley To find the simple interest, we multiply
        I = 5000 * 0.025 * 7
        T = 7
        The Interest is = $875.00

Part C: Investment Balance = Investment + Interest
Usually the interest is added onto the principal t figure out the new amount after 7 years.
          = $5000.00 + $875 
           =  $5875.00
            
Ex. if you borrowed $5000, you would now owed $5875.00




Hope that helps!!!

6 0
3 years ago
An equation and the steps to solve it are shown below: 3x minus one over five times the quantity 10x plus 5 equals 6 Step 1: 3x
lesya692 [45]

Answer:

either of Step 3 or Step 4

Step-by-step explanation:

At Step 3, -1 is added to both sides of the equation. Technically, this is correct (not an error), but it does not lead to a solution to the equation (so, could be considered to be an error). Adding +1 to both sides of the equation would lead more directly to a solution.

__

At Step 4, x -1 -1 is simplified to x. This is an error, as the correct simplification is x-2, so the equation after this step should read x-2 = 5. If Step 3 had been executed by adding +1 to both sides of the equation, then the simplification here would be x=7.

_____

Answering "why" someone does something is always tricky. One can project one's own interpretation onto the actions of others, but one never really knows whether that is accurate or not.

The "why" in this case could go back to the motivation of the problem's author, which may be to see if the student can recognize that the opposite of -1 is +1, or that the sum -1-1 is not zero.

___

My guess is that Step 3 is considered to be the erroneous step, and that choosing Step 4 will get you into a losing argument with your grader.

5 0
3 years ago
What is the surface area???
Alex_Xolod [135]

Answer:

706.4ft²

Step-by-step explanation:

This is a prism with a trapezoid base. The total area includes:

1) 2 trapezoids (bases):

A1=2×(19+5)×12.1/2=24×12.1=290.4ft²

2) side area:

A2=base perimeter×prism height=

(19+5+14+14)×8=(24+28)×8=52×8=416ft²

So total area is A1+A2

A=290.4+416=706.4ft²

4 0
2 years ago
Other questions:
  • WILL MARK BRAINLEST PLEASE HELP!! solve the inequality t+3/81/8
    8·1 answer
  • Find the domain and range of the exponential function h(x) = 125 x
    6·1 answer
  • Four mathematicians, three physicists, and an engineer are to be seated equally spaced around a circular table. How many differe
    13·1 answer
  • Stacy thinks her employer may not be withholding the correct amount from her paychecks for state income tax. She made arrangemen
    10·1 answer
  • Which of the following shows no correlation between the independent and dependent variables?
    15·2 answers
  • I have already tryed but how in the world do i solve 2
    12·1 answer
  • Answerrr?? What is the answer to these two questions?..
    5·1 answer
  • Which of the following actors starred in Dr. Strangelove? a. Peter Fonda b. Paul Newman c. Rod Stieger d. None of the above.
    10·1 answer
  • Select all the equations for which (-6, -1) is a solution.
    10·2 answers
  • What is the perimeter, in units of a polygon with vertices located at (-7, -3), (-7, 4) , (6, -3), and (6, 4)?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!