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Anna35 [415]
3 years ago
12

How can you use mental math to determmine if a ratio is simplifiefied

Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0

Answer:

By dividing both decimals or fractions

Step-by-step explanation:

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When is it necessary to apply the Distributive Property?
Nataly [62]
It is necessary when you are getting into multiplying from the outside of parenthesis and multiplying variables inside of parenthesis.
ex: 5(3 + 3x)
5 * 3 = 15
5 * 3x = 15x
so final set up would be 15 + 15x  
8 0
3 years ago
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(5x-6)(-x+4) using the box method
Sophie [7]

Answer:

-5x²+26x-24

Step-by-step explanation:

(5x-6)(-x+4)

=5x(-x+4)-6(-x+4)

=-5x²+20x+6x-24

=-5x²+26x-24

4 0
2 years ago
Please help me set up this problem, I’ll mark you brainiest if it’s correct <br> X/? = ?/?
drek231 [11]

Answer:

6.3 inches

Step-by-step explanation:

5/9 = 3.5/x

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x = 6.3

5 0
3 years ago
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How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?
lidiya [134]

Q. How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?

Solution:

Here we are given with the sides of the triangle as 5m, 16m and 5.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. But this inequality fails here.

Hence no triangle can be made.

So the correct option is None.

Q.How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?

Solution:

Here we are given with the sides of the triangle as 6m, 2m and 7m.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. The given values follows the triangle inequality.

Hence one triangle can be formed.

So the correct option is  one.

8 0
3 years ago
You split $1500 between two savings accounts one pays 4%interest and the other pays 5% after one year you have earned $69.50 in
ANTONII [103]

Answer:

Step-by-step explanation:

Use the basic simple interest formula:

P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:

                   P       *       r       *       t      =       I

Acct 1

Acct 2

If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other.  We will fill those in along with the interest rates in decimal form and the time of 1 year:

                   P        *        r        *        t        =        I

Acct 1           x               .04                1

Acct 2     1500-x          .05                 1

Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:

                  P        *        r        *        t        -        I

Acct 1         x                 .04              1               .04x

Acct 2    1500-x           .05               1          .05(1500-x)

The total Interest earned by the addition of the interest earned from both accounts is 69.50.  So we add the interest column together and set it equal to 69.50:

.04x + .05(1500 - x) = 69.50 and

.04x + 75 - .05x = 69.50 and

-.01x = -5.5 so

x = 550

That's how much money is in the account earning 4% interest.

7 0
2 years ago
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