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dezoksy [38]
3 years ago
15

9. Martika says factors and multiples are

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

Answer:

So the factors and multiples of 42 are 1, 2, 3, 6, 7, 14, 21, 42

Step-by-step explanation:

Factors are what you can multiply to get a number and a multiples are what you get after multiplication. We can determine the factors of 42. The multiples of 42 are:

1 x 42= 42

2 x 21= 42

3x 14 = 42

6 x 7 = 42

So the factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The multiples of 42 are 1,2,3,4,5,6 etc

So common multiples and factors are 1, 2, 3, 6, 7, 14, 21, 42

You might be interested in
Three pounds of dried cherries cost $15.90, 5 pounds of dried cherries cost $26.50, and 9 pounds of dried cherries cost $47.70.
quester [9]

Answer:

The equation which gives the total cost y of x pounds of dried cherries is y=5.3x

Step-by-step explanation:

Given:

Cost of 3 pounds of dried cherries = $15.90

Cost of 5 pounds of dried cherries = $26.50

Cost of 9 pounds of dried cherries = $47.70

Let Number of of pounds of dried cherries be 'x'

Let Total Cost be denoted by 'y'

We need to find the equation for total cost y for x pounds of dried cherries.

First we will find the cost of each pound of dried cherries.

Now we know that;

3 pounds of dried cherries = $15.90

1 pound of dried cherries = Cost of 1 pounds of dried cherries

Hence By using Unitary method we get;

Cost of 1 pounds of dried cherries = \frac{15.90}{3} = \$5.3

Total Cost of dried cherries is equal to Number of of pounds of dried cherries multiplied by Cost of 1 pounds of dried cherries.

framing in equation form we get;

y=5.3x

Hence The equation which gives the total cost y of x pounds of dried cherries is y=5.3x

3 0
3 years ago
Can y’all help me with this answer ASAP
viktelen [127]

Answer:

sqrt(24)

Step-by-step explanation:

The number is slightly less than 5

We know that 5^2 =25

sqrt(25) = 5

so the number has to be less that sqrt(25)

The only number less than sqrt(25) is sqrt(24) and sqrt(20)

sqrt(20) is too far away to be slightly less than 5 so it must be sqrt(24)

5 0
3 years ago
Shanna attends school for 1 week longer than 3/4 of the year. How many weeks in a year does Shanna attend school?
lorasvet [3.4K]

Answer:

48 weeks

Step-by-step explanation:

Theres 4 weeks in a month and times that by 12 and you get your answer, Hope this helps !

6 0
3 years ago
Read 2 more answers
Select all the statements that are true for the following systems of equations.
Dvinal [7]
Answer:

The true statements are:

the first statement: Systems A and C have the same solution
the fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18
the fifth statement: Systems A and B have different soltuoins.

Explanation:

1) The first statement: systems A and C have the same solutiotn: TRUE

The fourth statement proves that that the two systems are equivalent which means that both have the same solution.

2) The second statement: All three systems have different solutions: FALSE

The fourth statement proves that the systems A and C have same solution, so this second statement is false.

3) The third statement: Systems B and C have the same solution: FALSE

<span>You can solve the two systems and will find the solutions are different

Solution of system B.

3x - 4y = 5
y = 5x + 3

replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5

=> 3x - 20x - 12 = 5

=> - 17x = 5 + 12

=> -17x = 17

=> x = - 17 / 17

=> x = - 1

y = 5x + 3 = 5(-1) + 3 = - 5 + 3 = - 2

=> solution x = -1 and y = -2

Solution of system C.

2x - 3y = 4
12x - 3y = 54

subtract
</span>
4) fourth statement: System C simplifies to <span>2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three: TRUE

Look:

Second equation of system C = 12x - 3y = 54

Divide by 3:

12x - 3y     54
----------- = -----
     3           3

Distributive property:

12x      3y      
------ - ----- = 18
   3        3

4x - y = 18, which is the same second equation of system A, so the system C simplifies to the same system A, which is 2x - 3y = 4 and 4x - y = 18.

5) The fifth statement: systems A and B have different solutions: TRUE

</span><span>You can solve the two systems and will find the solutions are different

Solution of system A:

  2x - 3y =  4     
12x - 3y = 54           since it is equivalent to 4x - y =  18
-------------------
12x - 2x = 54 - 4      subtracting the first equation from the secon

10x = 50                  adding like terms

x = 5                        dividing by 10

From 2x - 3y = 4 => 3y = 2x - 4 = 2(5) - 4 = 10 - 4 = 6

=> y = 6 / 3 = 2

=> x = 5, y = 2

Solution of system B.

3x - 4y = 5
y = 5x + 3

replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5

=> 3x - 20x - 12 = 5

=> - 17x = 5 + 12

=> -17x = 17

=> x = - 17 / 17

=> x = - 1

Which is enough to prove that the two systems have different solutions.</span>
5 0
3 years ago
Monique randomly surveyed 30 students from
Naily [24]

Answer:

522

Step-by-step explanation:

Find the percent of students in her class that have a dog or cat:

  1. Set up a proportion: \frac{18}{30} = \frac{x}{100}  
  2. Cross multiply, then divide: 18 × 100 = 1800, 1800 ÷ 30 = 60
  3. So, 60% have a dog or cat

Find 60% of the total amount of students in Monique's school:

  1. 60% of 870 = \frac{60}{100} × \frac{870}{1}  
  2. \frac{60}{100} × \frac{870}{1} = \frac{52200}{100}  
  3. \frac{52200}{100} = \frac{522}{1} = 522  

I hope this helps!

8 0
3 years ago
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