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Artemon [7]
4 years ago
6

Which expression is equivalent to 3(8 + 7)?

Mathematics
1 answer:
natima [27]4 years ago
4 0
Here we MUST follow Order of Operations rules.
Must start out by doing the work inside the parentheses:  (8+7) = 15
Next, multiply this result by 3:  3(15)=45 (answer)

You will have to work out the given versions of this problem until you find one that is also equal to 45.
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Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator.
mart [117]

Answer:

\dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}.

Step-by-step explanation:

The given expression is  

\dfrac{3y^{\frac{1}{4}}}{4x^{-\frac{2}{3}}y^{\frac{3}{2}}\cdot 3y^{\frac{1}{2}}}

We need to simplify the expression such that answer should contain only positive exponents with no fractional exponents in the denominator.

Using properties of exponents, we get

\dfrac{3}{4\cdot 3}\cdot \dfrac{y^{\frac{1}{4}}}{x^{-\frac{2}{3}}y^{\frac{3}{2}+\frac{1}{2}}}    [\because a^ma^n=a^{m+n}]

\dfrac{1}{4}\cdot \dfrac{y^{\frac{1}{4}}}{x^{-\frac{2}{3}}y^{2}}

\dfrac{1}{4}\cdot \dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{y^{2}}         [\because a^{-n}=\dfrac{1}{a^n}]

\dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}

We can not simplify further because on further simplification we get negative exponents in numerator or fractional exponents in the denominator.

Therefore, the required expression is \dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}.

5 0
4 years ago
I WILL REWARD BRAINLIEST OKAY IM BEGGING YOU HELP ME
Amanda [17]

Answer:

X-intercept: -10

Y-intercept: -45

(-10),(-45)

Step-by-step explanation:

Hop this helped, Have a Wonderful Day!!

6 0
3 years ago
12x+6n-36 in standard form
ANEK [815]
6n+12x-36 . hope this helps
8 0
3 years ago
Can you help me I dont understand<br>6. Solve: 143 = 13y​
Charra [1.4K]

Answer:

y=11

Step-by-step explanation:

To isolate the variable, y, you need to divide by 13 on both sides. 13y/13 cancels out, so you are left with 143/13. 143 ÷ 13 is 11, so y = 11.

To Check your answer:

Substitute y for 11. Your equation will be 143 = 13 x 11. Does 13 x 11 = 143? Yes.

8 0
3 years ago
Read 2 more answers
The point slope form of the line is
JulijaS [17]

Remark

You already know the slope. It is given as ( 5/3) so fiar you have

y = (5/3) x + b

Solution

Use the point (0,3) for your y intercept.

y = 5/3 x + b

3 = 5/3 * 0 + b

3 = b

y = 5/3x + 3 <<<<< Answer

8 0
4 years ago
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