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BARSIC [14]
2 years ago
11

Which number is the prime factorization for: 2 x 3 x 3 x 5

Mathematics
2 answers:
crimeas [40]2 years ago
7 0

Answer:

90

Step-by-step explanation:

2*3*3*5=

90

Setler79 [48]2 years ago
7 0

Answer:

90

Step-by-step explanation:

2 × 3 × 3 × 5

2 × 3 × 15

2 × 45

90

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What is 3 = 5x - 12?​
zepelin [54]

Answer:

x = 3

Step-by-step explanation:

3=5x-12

Rearrange the Equation.

5x - 12 = 3

Add 12 to both sides.

5x - 12 + 12 = 3 + 12

Simplify

5x = 15

Divide both sides by 5

5x/5 = 15/5

x = 3

5 0
3 years ago
Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.
-BARSIC- [3]

The cost of one drink is $2.50 and cost of one popcorn is $3.75

<u><em>Explanation</em></u>

Suppose, the cost of one drink is x dollar and cost of one popcorn is y dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50  and  total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)

Multiplying equation (1) by -3 , we will get.....

-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)

Now, adding equation (2) and equation (3) , we will get ............

5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75

Plugging this y=3.75 into equation (1) ......

2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75


6 0
3 years ago
One number is larger than another by 9. If the greater number is increased by 10, and the lesser number is tripled, the sum of t
kkurt [141]

Answer:

The larger number is -6, the smaller number is -15

Step-by-step explanation:

We have two numbers, a and b.

We know that one number is larger than another by 9.

Then we can write:

a = b + 9

then a is larger than b by 9 units.

If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:

(a + 10) + 3*b = -41

So we got two equations:

a = b + 9

(a + 10) + 3*b = -41

This is a system of equations.

One way to solve this is first isolate one variable in one of the two equations:

But we can see that the variable "a" is already isolated in the first equation, so we have:

a = b + 9

now we can replace that in the other equation:

(a + 10) + 3*b = -41

(b + 9) + 10 + 3*b = -41

now we can solve this for b.

9 + b + 10 + 3b = -41

(9 + 10) + (3b + b) = -41

19 + 4b = -41

4b = -41 -19 = -60

b = -60/4 = -15

b = -15

then:

a = b + 9

a = -15 + 9 = -6

a = -6

7 0
2 years ago
What’s the missing value 2x+3y=12
I am Lyosha [343]

Step-by-step explanation:

To solve this, you either need x or y. So x or y can be the missing values. The most you can do is simply move one of the terms to the other side.

6 0
3 years ago
A _____ is a method used to calculate the line of best fit.
Anit [1.1K]

I am not sure, but  I think you are talking about the least square method

8 0
2 years ago
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