All categories

3 years ago

Solve for the variable in 6⁄18 = x⁄36 A. 12 B. 6 C. 3 D. 9

1 answer:

4 0

$\dfrac{6}{18} = \dfrac{x}{36}$

$\dfrac{1}{3} = \dfrac{x}{36}$

$\dfrac{1}{3} * 36 = x$ $|Multiply \ by \ 36|$

$x= \dfrac{36}{3}$ $|Divide \ both \ sides \ by \ 3|$

$x=12$

You might be interested in

Expand and combine like terms (3z^5 +7z^2)^2

AVprozaik [17]

Answer:

$\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }$

Step-by-step explanation:

Since it's a perfect square, we can simply use the formula:

$\displaystyle{(ax+by)^2 = a^2x^2+2abxy+b^2y^2}$

Given the perfect square expression $\displaystyle{(3z^5+7z^2)^2}$ . Apply perfect square formula:

$\displaystyle{(3z^5+7z^2)^2 = 3^2(z^5)^2+2(3)(7)(z^5)(z^2) + 7^2(z^2)^2 }$

Knowing laws of exponent is mandatory when it comes to algebra. Recall that:

$\displaystyle{(a^m)^n = a^{mn}}\\\\\displaystyle{a^m \cdot a^n = a^{m+n}}$

Apply laws of exponent to simplify the terms or expression:

$\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }$

Since there are no like-terms to do operation with (these terms have different degrees so they are not considered to be like-terms.) Therefore, the final answer is:

$\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }$

8 0

1 year ago

I need help pls help

Andreyy89

Answer:

[?] = 4

(the complete term is $4\frac{1}{2}\ \text{cups}$ )

Step-by-step explanation:

$8\ \text{cups} - 1\frac{1}{3}\ \text{cups} - 2\frac{1}{6}\ \text{cups} = (8-1-2)\ \text{cups} + \frac{-\frac{6}{3} - 1}{6}\ \text{cups} = 5\ \text{cups} + \frac{-3}{6}\ \text{cups} = 5\ \text{cups} + \frac{-1}{2}\ \text{cups} = 4\ \text{cups} + \frac{2 - 1}{2}\ \text{cups}$

7 0

2 years ago

2 3/4 Super Sammy ate 13/5 slices of pizza for lunch and 2 2/10 slices for dinner. How much pizza did Super Sammy eat altogether

MaRussiya [10]

Answer:

19 pizza

Step-by-step explanation:

4+5+10=19 pizza

7 0

3 years ago

Can someone help me with these I don’t understand at all

cupoosta [38]

Answer:

#1: ????

#2: $\frac{3}{4}$ x $15$

#3: $\frac{7}{8}$ ÷ $\frac{3}{4}$

Step-by-step explanation:

For #2:

$\frac{3}{4}$ x $15$ .

It's that because there are 3/4 cups of honey for one cake. To use for 15 cakes, you would have to multiply it by 15.

For #3:

$\frac{7}{8}$ ÷ $\frac{3}{4}$ .

It's that because the baker has 7/8 cups of honey. It takes 3/4 cups of honey for one cake. So you have to divide it by 3/4 cups in order to find out how many cakes.

Hope this helped! <3

7 0

3 years ago

Help picture below problem 12

dexar [7]

Answer:

isosceles triangle is shown in fig

3 0

2 years ago