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2 years ago

If 3x + 2y= 14 and 5x + 3y = 12, then find the value of 5x- y.

Mathematics

1 answer:

Ksju [112]2 years ago

6 0

I think the answer would be negative 124 NOT SURE

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Please Help!!!!!! Use what you've learned today about the sum of the interior angles of triangles and quadrilaterals to determin

sveta [45]

Answer:

m = 116

x = 24

y = 76

z = 40

Step-by-step explanation:

For startes the interior angles of triangles always add up to 180 degrees.

That means....

73 + 83 + x = 180

z + m + x = 180

z + y + 64 = 180

Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.

So m + 64 = 180

Let's start with 73 + 83 + x = 180

If you add 73 and 83 you get 156

x + 156 = 180 then subtract 156 from both sides and

x = 24

Then use m + 64 = 180 subtract 64 from both sides and

m = 116

z + m + x = 180 become

z + 116 + 24 = 180

Add 116 and 24 and you get 140

z + 140 = 180 subtract 140 from both sides and

z = 40

Check to make sure m + x + z = 180

24 + 40 + 116 = 180

z + y + 64 = 180 becomes

y + 40 + 64 = 180

40 + 64 = 104 so

y + 104 = 180 subtract 104 from both sides and

y = 76

Congratulations you have found all of the angles!

6 0

3 years ago

what is the example of a product that will have the same number of zeros in the factors and the products? what is one example of

Natalka [10]

Answer:

same: 30×40 = 1200
different: 20×50 = 1000

Step-by-step explanation:

Same: 30×40 = 1200 . . . . . 2 zeros in the factors; 2 in the product

Different: 20×50 = 1000 . . . 2 zeros in the factors; 3 in the product

Same: 0.3×0.4 = 0.12 . . . . no zeros in the factors; no zeros in the product

Different: 0.2×0.4 = 0.08 . . . no zeros in the factors; 1 zero in the product after the decimal point

_____

For a product, the number of zeros will be different if the combined factors of the numbers increase the number of factors of 10 beyond the sum of the factors of 10 of the numbers being multiplied.

<u>Example</u>: neither 2 nor 5 has a factor of 10, but their product does.

For a product that is a decimal fraction, the number of leading zeros will increase if the product of the mantissas of the numbers is less than 10. The number of trailing zeros will increase under the conditions discussed above. (0.25×0.4 = 0.100)

_____

<em>Additional comment</em>

Here, the term "mantissa" is used to refer to the portion of the number written in scientific notation that multiplies the power of 10.

3 0

3 years ago

Write the explicit formula that represents the geometric sequence -2, 8, -32, 128

Jet001 [13]

The Geometric Sequence Formula:

$a_n=a_1r^{n-1}$