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
storchak [24]
3 years ago
6

Tadeo Volunteered at the library six times as many hours over the weekend as Dylan. Together they volunteer at a total of 14 hou

rs. How many hours did each person volunteer over the weekend?
Mathematics
1 answer:
LuckyWell [14K]3 years ago
4 0

Answer:

<em>Tadeo Volunteered for 12 hours while Dylan volunteered for 2 hours</em>

Step-by-step explanation:

Let the total number of hours Tadeo volunteered be x

Let the total number of hours Dylan volunteered be y

If together they volunteer at a total of 14 hours, then;

x + y = 14 ...... 1

If<em> </em>Tadeo Volunteered at the library six times as many hours over the weekend as Dylan, then;

x = 6y

Substitute x = 6y into 1;

6y + y = 14

7y = 14

y = 14/7

y = 2

Since x = 6y

x = 6(2)

x = 12

<em>Hence Tadeo Volunteered for 12 hours while Dylan volunteered for 2 hours</em>

You might be interested in
<img src="https://tex.z-dn.net/?f=%20%5Cunderline%7B%20%5Ctext%7BQuestion%7D%7D%20%3A%20" id="TexFormula1" title=" \underline{ \
Oliga [24]

Answer:

Part A)

The height of the water level in the rectangular vessel is 2 centimeters.

Part B)

4000 cubic centimeters or 4 liters of water.

Step-by-step explanation:

We are given a cubical vessel that has side lengths of 10cm. The vessel is completely filled with water.

Therefore, the total volume of water in the cubical vessel is:

V_{C}=(10)^3=1000\text{ cm}^3

This volume is poured into a rectangular vessel that has a length of 25cm, breadth of 20cm, and a height of 10cm.

Therefore, if the water level is h centimeters, then the volume of the rectangular vessel is:

V_R=h(25)(20)=500h\text{ cm}^3

Since the cubical vessel has 1000 cubic centimeters of water, this means that when we pour the water from the cubical vessel into the rectangular vessel, the volume of the rectangular vessel will also be 1000 cubic centimeters. Hence:

500h=1000

Therefore:

h=2

So, the height of the water level in the rectangular vessel is 2 centimeters.

To find how how much more water is needed to completely fill the rectangular vessel, we can find the maximum volume of the rectangular vessel and then subtract the volume already in there (1000 cubic centimeters) from the maximum volume.

The maximum value of the rectangular vessel is given by :

A_{R_M}=20(25)(10)=5000 \text{ cm}^3

Since we already have 1000 cubic centimeters of water in the vessel, this means that in order to fill the rectangular vessel, we will need an additional:

(5000-1000)\text{ cm}^3=4000\text{ cm}^3

Sincer 1000 cubic centimeters is 1 liter, this means that we will need four more liters of water in order to fill the rectangular vessel.

3 0
3 years ago
Read 2 more answers
What is pemdas? algebra 1
Hunter-Best [27]

Answer:

p=Parentheses

e=Exponents

m=Multiplication

d=Division

a=Addition

s=Subtraction

its an order of solving a equation

4 0
2 years ago
Read 2 more answers
Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Thre
Anettt [7]

Answer:

Value = 500000 × (1.1^n)

$1,296,871

Step-by-step explanation:

a = 500000

r = 550000 ÷ 500000 = 1.1

1st term is the initial year:

n years after that is the "n+1"th term

Value = 500000 × (1.1^n)

n = 10

500000(1.1¹⁰)

1,296,871.23005

3 0
3 years ago
Read 2 more answers
Change 15/2 to mixed number
Alexeev081 [22]

Answer:

7 1/2

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A model train is built to a 1 in. : 64 in. scale. Find the actual length for a peice on the model that is 0.75 in.​
slavikrds [6]

Answer:it should be 48 in

im not 100% sure

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Using the given zero, find one other zero of f(x). Explain the process you used to find your solution. 1-6i is a zero of f(x) =
    13·1 answer
  • A soil supplement that weighs 19 lb contains iron, potassium, and mulch. The supplement contains sixteen times as much mulch as
    6·1 answer
  • What is the weight on earth of a girl with a mass of 44 kg?
    6·1 answer
  • Chaz drank 8 gallons of Arizona in one week.
    13·1 answer
  • -20y + 15 = 2 - 16y + 11
    12·1 answer
  • 4x^2-x-3=0<br> Solve by completing the square.<br> x= ?
    9·1 answer
  • What do you do when your mom is crying? probably not the best place to ask but im grounded so i cant ask on any other platform l
    8·2 answers
  • Help plz aaaaaa plz plz
    9·2 answers
  • PLZ HELPP AND ANSWER FASTTTT. ANSWER BOTH PARTS PLZZ
    15·2 answers
  • Help?? Or not but help? No links ;-;
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!