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
kobusy [5.1K]
3 years ago
12

There are 24 pens in a desk drawer. The pens are either red or blue. The ratio of red pens to blue pens is 5:1. How many pens ar

e red? How many pens are blue?
Mathematics
1 answer:
Flura [38]3 years ago
6 0

Answer:

The number of red pens is 20.

The number of blue pens is 4.

Step-by-step explanation:

We are given that, the ratio of number of red pens to the number of blue pens is 5 : 1.

∴ Let us assume that the number of red pens be 5<em>x</em> and number of blue pens be <em>x</em>.

Total number of pens in the desk drawer = 24

Now, according to question :

Number of red pens + Number of blue pens = 24

⇒5<em>x</em> + <em>x</em> = 24

⇒6<em>x</em> = 24

⇒x=\frac{24}{6}=4

So, number of red pens in the drawer = 5<em>x</em> = 5 × 4 = 20

Number of blue pens in the drawer = <em>x</em> = 4

You might be interested in
Write an equation that represents a vertical translation 7 units down of the graph of g(x) = 21.
xenn [34]

Answer:

<h2>h(x) = 14</h2>

Step-by-step explanation:

f(x) + n - translation n units up

f(x) - n - translation n units down

f(x + n) - translation n units to the left

f(x - n) - translation n units to the right

===========================================

g(x) = 21

translation 7 units down: g(x) - 7 = 21 - 7 = 14

3 0
3 years ago
Suppose the diameter of a circle is 4 units. What is its circumference?
Murrr4er [49]
12.5663706144 or yes, 12.57
3 0
3 years ago
i just need number 3. my homework is due today and nobody else IRL will help me. please, please, please help me idk what else to
vodomira [7]
Start your line at y=15 and for every number on x go up one square
8 0
4 years ago
The simple interest on a certain sum of money for 2 years at 5% per annum is Rs 320. What will be the compound interest on the s
Brilliant_brown [7]

Answer:

Rs 328

Step-by-step explanation:

Find the <u>principal</u> amount invested.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned
  • P = principal
  • r = interest rate (in decimal form)
  • t = time (in years)

Given:

  • I = Rs 320
  • r = 5% = 0.05
  • t = 2 years

Substitute the given values into the formula and solve for P:

⇒ 320 = P(0.05)(2)

⇒ 320 = P(0.1)

⇒ P = 3200

<u>Compound Interest Formula</u>

\large \text{$ \sf I=P\left(1+\frac{r}{n}\right)^{nt} -P$}

where:

  • I = interest earned
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • P = 3200
  • r = 5% = 0.05
  • n = 1 (annually)
  • t = 2 years

Substitute the given values into the formula and solve for I:

\implies \sf I=3200\left(1+\frac{0.05}{1}\right)^{2} -3200

\implies \sf I=3200\left(1.05\right)^{2} -3200

\implies \sf I=3200\left(1.1025\right) -3200

\implies \sf I=3528-3200

\implies \sf I=328

Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.

7 0
2 years ago
The temperature in buffalo, New York, one Saturday was 68F. The temperature that following Monday was 80F. Write an equation tha
Ugo [173]
 the answer is 80F-68F=x

x=12
3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help thank you.
    13·1 answer
  • Lydia wanted to flip a coin and roll a die at the same time, but she also wondered what the probability of the coin landing on h
    9·1 answer
  • Write b in terms of a and h. A=bh
    5·1 answer
  • Solve for r. k=3r-7s
    12·1 answer
  • 6(p+6)- (p-6) I need help anyone pls
    12·2 answers
  • In Texas, 30% of parolees from prison return to prison within 3 years. Suppose 15 prisoners are released from a Texas prison on
    10·1 answer
  • Jeremy uses 27 inches of board for each birdhouse he builds.
    7·2 answers
  • Please help ! which of the following is equal to the rational expression when x ≠ 2 or -3?
    10·2 answers
  • Hey um i really need help i tried to do it but i couldn't do it
    9·1 answer
  • Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 2%. If the rate of deca
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!