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
12345 [234]
4 years ago
6

7.

Mathematics
1 answer:
Agata [3.3K]4 years ago
5 0

Answers:

  • prime number = {2,3,5}
  • composite number = {4,6}
  • number less than four = {1,2,3}
  • number more than or equal to three = {3,4,5,6}

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

Explanation:

The list of all possible outcomes on a single standard die is {1,2,3,4,5,6}. The curly braces indicate set notation.

A prime number is a number where its only factors are 1 and itself. The value 1 is not prime, and it's not composite either.

Something like 3 is prime because its only factors are 1 and 3. Something like 4 is composite because 4 = 2*2. A composite value has factors other than 1 and itself.

Parts (iii) and (iv) are fairly straight forward. You simply list items less than four for part (iii) and you list items that are three or greater for part (iv).

You might be interested in
Ultra Sports Club charges $20 plus $60 per month. Workout Now charges $200 plus $45 per month. After how many months will the fe
harina [27]

Answer:

m=12 months

Step-by-step explanation:

all work is shown and pictured

5 0
4 years ago
jan makes a party punch that requires 2 gallons of orange juice for every 1/2 gallon of lemonade. Matta favorite party punch rec
Ahat [919]

Answer:

2 gallons of orange juice.

Step-by-step explanation:

Given:

Jan makes a party punch that requires 2 gallons of orange juice for every 1/2 (0.5) gallon of lemonade.

Matt favorite party punch recipe calls for 3 gallons of orange juice for every 2 gallons of pineapple juice.

To find:

If Matt and Jan make 10 gallons of punch, how many more gallons of orange juice would Jan use than Matt?

Solution:

Jan makes a party punch by mixing orange juice and lemonade in = 2:0.5

Matt makes a party punch by mixing orange juice and pineapple juice in = 3:2

Let ratio be x

To find how many gallons of orange juice would Jan use,

2x+ 0.5x =10\\2.5x = 10

By dividing both sides by 2.5

x = 4,  

Jan use gallons of orange juice to make 10 gallons of punch, 2x=2\times4=8

Similarly, to find how many gallons of orange juice would Matt use,

3x+2x=10\\ 5x=10

By dividing both sides by 5

x =2

Matt use gallons of orange juice to make 10 gallons of punch, 3x=3\times2=6

Now, to find how many more gallons of orange juice would Jan use than Matt,

Jan use gallons of orange juice to make 10 gallons of punch - Matt use gallons of orange juice to make 10 gallons of punch

8 - 6 = 2 gallons.

Hence, Jan use 2 gallons more orange juice than Matt.

4 0
4 years ago
A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times. How
nekit [7.7K]

Answer:

The frequency is 3 more than expected.

7 0
3 years ago
The nutty professor sells cashews for 7.20 per pound snd brazil nuts flr 4.00 per pound. How much of each type should be used to
lutik1710 [3]

Answer:

<u>19.01 pound</u> of cashews and <u>16.99 pounds</u> of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.

Step-by-step explanation:

Given:

The nutty professor sells cashews for 7.20 per pound and brazil nuts for 4.00 per pound.

Now, to find each type should be used to make a 36 pound mixture that sells for 5.69 per pound.

Let the quantity of cashews be x.

Let the quantity of brazil nuts be y.

So, total pound of mixture of nuts:

x+y=36\\y=36-x\ \ \ .....(1)

Now, the total price of mixture per pound:

7.20(x)+4.00(y)=5.69(36)

7.2x+4y=204.84

Substituting the value of y from equation (1) we get:

7.2x+4(36-x)=204.84

7.2x+144-4x=204.84

3.2x+144=204.84

Subtracting both sides by 144 we get:

3.2x=60.84

Dividing both sides by 3.2 we get:

x=19.01.

The quantity of cashews = 19.01 pound.

Now, substituting the value of x in equation (1) we get:

y=36-x\\y=36-19.01\\y=16.99.

The quantity of brazil nuts = 16.99 pounds.

Therefore, 19.01 pound of cashews and 16.99 pounds of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.

7 0
4 years ago
7x-18 is less than or equal to 32
gavmur [86]
We have
7x - 18 \leqslant 32 \\ 7x - 18 + 18 \leqslant 32 + 18 \\ 7x \leqslant 50 \\ x \leqslant 50  \div 7 \\
we have x is less than or equal 50/7
8 0
4 years ago
Other questions:
  • Can every even number be written as a sum of two primes?
    11·1 answer
  • Which of the following choices is the standard deviation of the sample shown here
    8·2 answers
  • Evaluate the expression when y=1 513 - 4y) Your answer​
    6·1 answer
  • PLEASE HELP; if a and b are directly proportional, and b and c are directly proportional, then how are a and c related?
    11·1 answer
  • How many solutions does the equation have<br> y=2x^2+3x-10=0
    7·1 answer
  • Find the length of RS.<br> A. 40 units<br> B. 8 units<br> C. About 6.3 units<br> D. About 2.8 units
    10·1 answer
  • simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the firs factor goes
    6·2 answers
  • HELP giving brainlest and more points
    10·2 answers
  • Help I will be marking brainliest!!<br><br> A. 55.33<br> B. 156.16<br> C. 72<br> D. 61.16
    8·1 answer
  • Shown is a pentagon, with the size of<br> each angle shown. Work out the largest angle.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!