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ExtremeBDS [4]
3 years ago
9

Simplify. 5^-1(3^-2) (1 point)

Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0
5^-1x3^-2=1/5x1/3^2=1/5x1/9=1/(5x9)=1/45
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2 Solve the equation for t. Show your work.<br> 5(2t - 3) – 7.5t = 0.5(12 – t)<br> PLEASEEEE HELP ME
dsp73

Answer:

t = 7

Step-by-step explanation:

5(2t - 3) – 7.5t = 0.5(12 – t)

5*2t - 3*5 - 7.5t = 12*0.5 - t *0.5

10t - 15 - 7.5t = 6 - 0.5t           {Now, combine like terms}

10t - 7.5t - 15 = 6 - 0.5t

         2.5t -15 = 6 - 0.5t      {Add 15 to both sides}    

         2.5t      = 6 - 0.5t + 15

              2.5t = 21 - 0.5t       { Add 0.5t to both sides}

    2.5t + 0.5t = 21  

                 3t = 21     {Divide both sides by 3}

                   t = 21/3

t = 7

6 0
3 years ago
A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number greater than 2
Leona [35]
There is a 2/3 probability. Why? Well, the cube is numbered 1-6 so that is 6 numbers. Out of 6, there are 4 numbers greater than 2. Because of this, there is a 4/6 probability that a number greater than 2 will be rolled. 4/6 reduces to 2/3. As a percentage and decimal, the probability would be 66.66666666% or 0.66666666666 (repeating).
3 0
2 years ago
Each person in a group buys a movie ticket, a drink, and a popcorn. How much does the group pay when there are 4 people in the g
Cerrena [4.2K]
Answer:
$58.00

Step by step explanation:
We have $3.00+$7.50+$4.00=14.50
And then we multiply $14.50 by 4
Then we get $58.00
7 0
3 years ago
If the Greatest Common Factor of L and M is 6, write the expression for the Least Common Multiple of these numbers.
Serga [27]

Answer:

\frac{(L x M)}{6}

Step-by-step explanation:

The greatest common factor is the greatest number that will divide two values. We have two values L and M. Each has numbers which multiply together to give the number. The highest value or most in common they share is 6. This is the GCF.

The least common multiple is the smallest positive number which is a multiple of the two. This means both L and M divide into it evenly.

We know L x M is a multiple because L and M will be factors of it. But we don't know its the least.

As an example if L= 42 and M = 60, they have GCF 6. We can multiply them to find a multiple 42 x 60 = 2520 but we don't know this is the smallest or least multiple we can find. If we divide by the GCF, 2520/6=420. Interestingly, 42 x 10 =420 and 60 x 7 =420. This means 420 is the least common multiple.

We can multiply (L x M) and then divide by the GCF of L & M to find the least common multiple.

\frac{(L x M)}{6}

3 0
3 years ago
Factor each expression 24x + 18y =
cricket20 [7]

Answer:

6(4x + 3y)

Step-by-step explanation:

24 and 18 are both evenly divisible by 6, and so we have

6(4x + 3y)

8 0
3 years ago
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