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IgorLugansk [536]
3 years ago
15

Fill in missing numbers. 48.9÷0.03=... ÷ 3

Mathematics
1 answer:
shepuryov [24]3 years ago
8 0

Answer:

  4890

Step-by-step explanation:

Recognize the denominator has been multiplied by 100:

  0.03 × 100 = 3

To have the same division problem, the numerator must also be multiplied by 100. This is the sort of decimal point adjustment usually carried out for long division: the divisor is made to be an integer, and the decimal point of the dividend is moved the same direction by the same number of places.

  \dfrac{48.9}{0.03}=\dfrac{48.9\cdot 100}{0.03\cdot 100}=\dfrac{4890}{3}

The missing number is 4890.

____

The quotient is 1630.

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Which expression is equivalent to (x^4/3 x^2/3)^1/3?
KATRIN_1 [288]

Answer: x^{\frac{2}{3} }

Step-by-step explanation:

We have several properties of exponents in use here. The two that are used are:

(x^{a})(x^{b}) = x^{a + b} <em>(Exponents with the same base that are being multiplied together can have the exponents added)</em>

(x^{a})^{b} = x^{(a)(b)} <em>(A base raised to a power, and then raised to another power means that you can multiply the exponents to get the same result as doing inside operations and then outside operations)</em>

<em />

Let's apply it!

First, let's simplify what's inside the parenthesis.

x^{\frac{4}{3} } x^{\frac{2}{3} } <em>(Remember, they have the same base of "x", so we can add the exponents)</em>

x^{\frac{4}{3} + \frac{2}{3} } = x^{\frac{6}{3} } = x^{2}

Now we have (x^{2})^{\frac{1}{3} }. Let's use the second rule.

(x^{2})^{\frac{1}{3} } = x^{\frac{2}{3} }

Hope this helps! :^)

7 0
3 years ago
Which expression is equivalent to 3m+1-m?<br><br> 2+m-1+m<br> 1+m<br> 3m-1<br> 3m
kirill115 [55]

Answer:

  2+m-1+m

Step-by-step explanation:

By combining like terms, the given expression and the above answer both simplify to ...

  2m+1

___

The other available choices do not.

6 0
2 years ago
Pls help (have a good day Jesus loves you:) :) .)
murzikaleks [220]

Answer:

4^6

Step-by-step explanation:

5 0
2 years ago
Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9 Find the slope of the line 2
AnnZ [28]

Answer:

Step-by-step explanation:

2x - 3y = 9

-3y = -2x + 9

y=\frac{-2}{-3}x + \frac{9}{-3}\\\\y=\frac{2}{3}x-3\\

Parallel lines have same slope.So,

Slope m = 2/3

(4 , -1)

Equation: y - y1 = m(x - x1)

y-[-1]=\frac{2}{3}(x - 4)\\\\y+1=\frac{2}{3}*x - \frac{2}{3}*4\\\\y+1=\frac{2}{3}x-\frac{8}{3}\\\\y=\frac{2}{3}x-\frac{8}{3}-1\\\\y=\frac{2}{3}x-\frac{8}{3}-\frac{3}{3}\\\\y=\frac{2}{3}x-\frac{11}{3}

b = -11/3

5 0
3 years ago
Read 2 more answers
What is the degree of the polynomial 5x^2y^2 + 4y^3 + 3x + 10
anyanavicka [17]

The answer would be 4

Example- The degree is the term with the greatest exponent.

Recall that for y2, y is the base and 2 is the exponent.

More examples showing how to find the degree of a polynomial.

Example #1: 4x2 + 6x + 5

This polynomial has three terms. The first one is 4x2, the second is 6x, and the third is 5.

The exponent of the first term is 2.

The exponent of the second term is 1 because 6x = 6x^1.

The exponent of the third term is 0 because 5 = 5x^0.

What? 5x^0 = 5?

Well, anything with an exponent of 0 is always equal to 1.

Thus, 5x^0 = 5 × x^0 = 5 × 1 = 5

Since the highest exponent is 2, the degree of 4x^2 + 6x + 5 is 2.

4 0
2 years ago
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