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
77julia77
1 month ago
11

A mail clerk found that the total weight of 155 packages was 815 pounds. if each of the packages weighed either 3 pounds or 8 po

unds, how many of the packages weighed 8 pounds?
Mathematics
2 answers:
tester [12.3K]1 month ago
7 0

Answer:

70 packages of 8 pounds each

Step-by-step explanation:

A mail clerk discovered that 155 packages had a total weight of 815 pounds.

The packages weighed either 3 pounds or 8 pounds each.

Let x represent the number of 3-pound packages and y represent the number of 8-pound packages.

The equation for total packages is 155:

So,  x + y = 155 ------(1)

The equation for total weight of the packages is:

3-pound packages total weight = 3x

8-pound packages total weight = 8y

The total weight of all packages = 815:

3x + 8y = 815 -----------(2)

Now solve equations (1) and (2).

Multiply the first equation by -3:

-3x - 3y = -465

Combine with 3x + 8y =  815:

5y = 350.

y = 70

This means there are 70 packages that weigh 8 pounds each.

tester [12.3K]1 month ago
3 0
To solve this problem, you'll need to create two equations:
x + y = 155 (total packages)
3x + 8y = 815 (total weight)
Next, multiply the first equation by 3: 3x + 3y = 465.
Then, subtract the first equation from the second to find that 5y = 350, which means y = 70. Thus, there are 70 packages that weigh 8 pounds. 
You might be interested in
Select all the lines that have a slope of 5/2.
Leona [12618]
A slope of 5/2 signifies that moving 2 units horizontally results in moving 5 units vertically. To visualize this, from any point on the line, shift 2 units right, and from there, move upwards until you intersect the line again. If the vertical movement is 5 units, the slope is confirmed to be 5/2. Option A indicates a slope of 5/2, B specifies a slope of 4/2, while C affirms the slope of 5/2. I can't clearly see the graphs represented in images D and E; however, E might have a slope of 5/2, which should be measured, and D clearly does not match the slope of 5/2, as it can be compared with A, demonstrating a significant difference, thus it can be eliminated.
6 0
16 days ago
Chiang is filling a 50ft container with water at a rate of 0.5 ft/ min. interpret the key features for this situation
Leona [12618]

Answer:

The main aspects are

50ft³ = volume

0.5ft³/min = filling rate

Time= 100 minutes

Step-by-step breakdown:

Chiang is in the process of filling a 50ft container with water at a speed of 0.5 ft/min.

50ft³ = volume

0.5ft³/min = flow rate

It’s important to note that we still need to determine how long it will take to fill the 50 ft³ container.

Time = volume / rate

Time = 50 ft³ / 0.5 ft³/min

Time = 50 / 0.5 min

Time = 100 min

The main aspects are

50ft³ = volume

0.5ft³/min = filling rate

Time= 100 minutes

7 0
1 month ago
A music app charges $2 to download the app plus $1.29 per song downloaded. Write and solve a linear equation to find the total c
Leona [12618]
1.29(30) +2 Step-by-step explanation: Begin by calculating 1.29 multiplied by 30, which results in 38.7. Next, add 2 to this sum to arrive at 40.7. Consequently, the total expense amounts to $40.70.
6 0
18 days ago
The equation y=45x represents the number of miles, y, Mr. Miller’s car can travel using x gallons of gas. Which data display rep
Inessa [12570]
You might consider utilizing the following dataset:
0 0
1 60
2 120
3 180
4 240
5 300
6 360
7 420
8 480
9 540
10 600
This information illustrates a function of:
y = 60x
This indicates that the vehicle achieves 60 miles per gallon.
The distance covered per gallon exceeds that of Mr. Miller's vehicle.
7 0
1 month ago
A tank contains 24 gallons of water when all of a sudden the water begins draining at a constant rate of 2 gallons per hour. Let
AnnZ [12381]

Response:

a) V(t) = 24 - 2t

b) From t increasing from 3 to 6, v changes from 18 gallons to 12 gallons.

Detailed explanation:

The relationship between the tank’s volume and time is given by:

V(t) = V(0) - at

Where V(0) indicates the starting volume and a denotes the hourly decrease.

a. Create a formula for v in terms of t.

The tank starts with 24 gallons of water, hence V(0) = 24

It drains steadily at 2 gallons each hour, therefore a = 2

Then

V(t) = V(0) - at

V(t) = 24 - 2t

b. When t progresses from 3 to 6, v changes from _________ to _________

V(t) = 24 - 2t

V(3) = 24 - 2*3 = 18

V(6) = 24 - 2*6 = 12

So as t progresses from 3 to 6, v shifts from 18 gallons to 12 gallons.

6 0
1 month ago
Other questions:
  • The house Trevor's family lives in has 666 people (including Trevor) and 333 bathrooms. In the past month, each person showered
    15·2 answers
  • Angle EBC=3r+10<br> Angle ABE=2r-20<br> Find angle EBF
    6·1 answer
  • It takes 40 cents worth of meat to make 2 sandwiches. What is the cost of the meat for 20 sandwiches?
    10·2 answers
  • June needs 48 gallons of punch
    13·2 answers
  • Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Select five
    9·2 answers
  • What is m pqr (3x-5) (x+1)
    7·1 answer
  • Point B is in the interior of ∠AOC, m∠AOC = 108°, m∠AOB = 3m∠BOC. Find m∠AOB.
    13·2 answers
  • Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2
    14·2 answers
  • Danielle sells beauty supplies and earns a base salary of $450 per week plus a 9% commission on sales. During one particular wee
    12·1 answer
  • A used car dealer has 30 cars and 10 of them are lemons (i.e.~ mechanically faulty used cars), and you don't know which is which
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!