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
const2013 [10]
2 years ago
11

Oleg, Sasha, and Dima share 600 toys. Sasha has twice as many toys as Oleg. Dima has 40 more toys than Oleg. How many toys does

Oleg have?
Mathematics
1 answer:
Anika [276]2 years ago
6 0

Answer: 140

Oleg, Sasha, and Dima shared 600 toys. Sasha had twice as many toys as Oleg. Dima had 40 more toys than Oleg.

Let the number of toys Oleg has = x

Let the number of toys Sasha has = y

Let the number of toys Dima has = z

Sasha had twice as many toys as Oleg

So y = 2*x= 2x

Dima had 40 more toys than Oleg.

z = x + 40

Oleg, Sasha, and Dima shared 600 toys

x + y + z= 600

We know y=2x and z=x+40

Replace it for y and z

Subtract 40 on both sides

Divide by 4 on both sides

Oleg had 140 toys

Step-by-step explanation:

You might be interested in
Aditi downloads ten paid apps and sixteen free apps on her tablet. Fourteen of them are game apps, and she paid for five of the
netineya [11]

Answer:

P(paid) =  10/26

P(paid | game) = 5/14

The events “paid” and “game” are not independent

5 0
2 years ago
Read 2 more answers
If George is 33 1/3% richer than Pete, than Pete is what percent poorer than George?
OleMash [197]

Answer:

25%

Step-by-step explanation:

George is 33\frac{1}{3}% (\frac{100}{3}%) richer than Pete. Let Pete's percentage of wealth be 100%.

Thus George percentage of wealth = 100% + \frac{100}{3}%

                                                           = \frac{400}{3}%

                                                           = 133\frac{1}{3}%

Pete's percent poorer than George can be determined by;

                                                           = (\frac{100}{3}) ÷ (\frac{400}{3} ) × 100

                                                           = (\frac{100}{3}) × \frac{3}{400} ×100

                                                           = 0.25 × 100

                                                           = 25%

Pete is 25% poorer than George.

3 0
2 years ago
Out of six computer chips, two are defective. If two chips are randomly chosen for testing (without replacement), compute the pr
Ratling [72]

Answer:

The probability that of the two chips selected both are defective is 0.1089.

Step-by-step explanation:

Let <em>X</em> = number of defective chips.

It is provided that there are 2 defective chips among 6 chips.

The probability of selecting a defective chip is:

P(X)=p=\frac{2}{6}=0.33

A sample of <em>n</em> = 2 chips are selected.

The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 2 and <em>p</em> = 0.33.

The probability function of a Binomial distribution is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2, ...

Compute the probability that of the two chips selected both are defective as follows:

P(X=2)={2\choose 2}(0.33)^{2}(1-0.33)^{2-2}=1\times 0.1089\times 1=0.1089

Thus, the probability that of the two chips selected both are defective is 0.1089.

The sample space of selecting two chips is:

S = (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

     (2, 1),  (2, 3), (2, 4), (2, 5), (2, 6)

     (3, 1), (3, 2), (3, 4), (3, 5), (3, 6)

     (4, 1), (4, 2), (4, 3), (4, 5), (4, 6)

     (5, 1), (5, 2), (5, 3), (5, 4), (5, 6)

     (6, 1), (6, 2), (6, 3), (6, 4), (6, 5)

3 0
2 years ago
Find the quotient 4^10/4^2
Tanya [424]

Answer:65536

4^10/4^2

4*4=16

4*4*4*4*4*4*4*4*4*4=1048576

1048576/16=65536

3 0
2 years ago
two computers can print out a task in 26 minutes and 78 minutes, respectively. How long will it take to complete the task with b
kari74 [83]
78 minutes cause they are not working when one finishes, if they were doing that the it would take 1 hour and 44 minutes, hope this helps :)
4 0
2 years ago
Other questions:
  • ∆ABC is translated 2 units down and 1 unit to the left. Then it is rotated 90° clockwise about the origin to form ∆A′B′C′.
    15·1 answer
  • Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
    12·2 answers
  • The number of hours walked varies inversely with the speed of the walker. if it takes sam 12 hours to complete his walking goal
    12·1 answer
  • Suppose you are determining the growth rate of two species of plants. Species A is 12 cm tall and grows 2 cm per month. Species
    7·2 answers
  • Find the area, circumference =6pi yd
    7·1 answer
  • Together, Katya and Mimi have 480 pennies in their piggy banks. After Katya lost ½ of her pennies and Mimi lost 2/3 of her penni
    14·2 answers
  • Here is a typical statement made by the media: "Based on a recent study, pennies weigh an average of 2.5 grams with a margin of
    11·2 answers
  • A veterinarian does research on the causes of enteroliths, stones that develop in the colon of horses. She suspects that feeding
    12·1 answer
  • A 60-year old customer has a 401(k) account with your firm that has $280,000, mainly invested in growth mutual funds. The custom
    10·1 answer
  • Set R contains all integers from 10 to 125, inclusive, and Set T contains all integers from 82 to 174, inclusive. How many integ
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!