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
GaryK [48]
3 years ago
8

Tom has three times as many pencils as pens but has a total of de 100 writing utensils. How many pencils and pens does toms have

?
Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0

Answer:

Tim has 75 pencils and 25 pens

Step-by-step explanation:

To solve this create a system of equations. To do so, first create an equation for the total number of utensils that he has. Let x equal the number of pencils and y equal the number of pens.

x+ y = 100

Now make one for the comparison of the two and solve for the constant.

x = 3y

x - 3y = 0

Now to solve the system, multiply the second equation by -1 and add them together.

x + y = 100

-x + 3y = 100

-----------------

4y = 100

y = 25

Now that we have the number of pens, find the number of pencils using an equation.

x + y = 100

x + 25 = 100

x = 75

You might be interested in
1) At a store, 40% of all the refrigerators are silver. There are 50 silver
Rina8888 [55]

Answer:

ABCDEFGHIJKLMNOPQRSTUVWXYZ

4 0
3 years ago
Urgent math help needed!! Multiple choice question. Will mark brainliest!!!
muminat

Total number of 10 grader students = 260 students.

Total number of students who rides the bus and they are of 10th grader = 150 students.

Probability (a student rides the bus given that they are a 10th grader) =\frac{Total \ number \ of \ students \ rides \ the \ bus \ and \ 10th \ grader}{Total \ number \ of \ 10 \ grader \ students}

Therefore,

P(E) = \frac{150}{260}

Dividing top and bottom by 10, we get

P(E) = 15/26.

In decimals 0.577.

Therrefore, correct option is C) 150/260 = 15/26 = .577.

8 0
4 years ago
What is the diameter of a hemisphere with a volume of 2233\text{ cm}^3,2233 cm 3 , to the nearest tenth of a centimeter?
Agata [3.3K]

Answer:

The diameter of the hemisphere is 20.4 centimeters.

Step-by-step explanation:

The volume of an hemisphere is given by:

V = \frac{2 \pi r^{3}}{3}

In this problem, we have that:

V = 2233

So

\frac{2 \pi r^{3}}{3} = 2233

2\pi r^{3} = 3*2233

r^{3} = \frac{3*2233}{2\pi}

r = \sqrt[3]{\frac{3*2233}{2\pi}}

r = 10.2

The radius is 10.2 centimeters.

The diameter is double the radius. So:

2*10.2 = 20.4

The diameter of the hemisphere is 20.4 centimeters.

5 0
4 years ago
Tyra buys 14 gallons of gas for $35. How could she figure out how much 1 gallon of gas cost
defon

Answer:

The cost of 1 gallon is $2.5

<em></em>

Step-by-step explanation:

Given

Cost of 14 gallons = $35

Required

Determine the cost of 1 gallon

From the given parameters, we have:

14\ gallons = \$35

Divide both sides by 14

\frac{14\ gallons}{14} = \frac{\$35}{14}

1\ gallon = \frac{\$35}{14}

1\ gallon = \$2.5

Hence,

<em>The cost of 1 gallon is $2.5</em>

4 0
3 years ago
If a basket of goods and services used to calculate CPI contains 2 pairs of socks at $2 each and 1 pair of shoes at $50, what wi
Svetach [21]

Answer:

B. 55.10

Step-by-step explanation:

Given:

1 pair of Shoes for 1st year = $50

2 pair of Sock for 1st year = $2 each = 2\times2= $4

\therefore CPI for year 1 = Price of shoes for 1st year + Price of Sock for 1st year= $50 + $4 = $54

Now

1 pair of Shoes for 2nd year = $51

2 pair of Sock for 2nd year = $2.05 each = 2 \times2.05 =$4.10

\therefore CPI for Year 2 = Price of shoes for 2nd year + Price of Sock for 2nd year= $51 + $4.1 = $55.10

Hence CPI for Year 2 is $55.10

7 0
3 years ago
Other questions:
  • You have a 20 - ounce bottle of juice. You pour out 1/4 of the bottle to share with a friend. If you pour out 3 ounces for yours
    15·1 answer
  • What the answer for $9; 10% increase
    13·2 answers
  • On Saturday 23,423 people went to the basketball games on Sunday 42,928 people went to the game what was the total attendance fo
    15·2 answers
  • How do you Evaluate |bc|, given a = 5, b = -3, and c = -2.
    6·2 answers
  • Someone help me with all of this
    11·1 answer
  • 6 pints = to how many quarts=
    9·1 answer
  • You are buying fruit to make fruit baskets apples come in bags of 20. Ornages come in bags of 16. And bananas come in bags of 32
    13·1 answer
  • What is taxes? What is Texas' tax rate?
    15·1 answer
  • Help I really don’t get this I need help
    6·2 answers
  • A shop is having a 10% off sale. Find the sale price of a cap which normally costs $12?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!