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3 years ago

5/6-1/9=?/?-?/? =13/18

1 answer:

4 0

15/18 - 2/18 = 13/18

Find the least common multiple of 6 and 9. The LCM is 18. In order to get 18 on the denominator with 6, you have to multiply by 3 because 6 times 3 is 18. You have to multiply 3 to the numerator, so 5 times 3 is 15. Thus, the first fraction is 15/18. To get the second, you need to find what would get you 18 on the denominator with 9. You need 2, so 9 times 2 is 18. You have to multiply 2 to the numerator, so 1 times 2 is 2. Thus, the second fraction is 2/18.

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What are the solutions to the equation (x + 2)^2 = 49?

Mekhanik [1.2K]

Answer:

X= 5, -9

Step-by-step explanation:

(X+2)² =49

Expand the bracket,

 (X+2) (X+2)= 49

Apply the distributive property;

X(X+2) +2 (X+2) =49

X²+2X+2X+4=49

X²+4X+4=49

Move 49 to the left side of the equation;

X²+4X+4-49=0

X²+4X-45=0

Apply Factorisation method;

Consider the form

a²+bx+c=0

Find two numbers whose sum is equal to b and whose product is equal to c. Comparing with our equation;

B =4 and C =45

We can use 9 and -5, this is because ;

9+(-5)=4 and 9*(-5)= 45.

Replace X +4X-45=0 with (X-5) (X+9)=0

Therefore;

X-5=0

X+9=0

Moving to the left side of the equation;

Therefore X= 5 and -9

8 0

2 years ago

Read 2 more answers

Please help me with this!

blsea [12.9K]

Answer:

180

Step-by-step explanation:

So, lets go over what we know:

5% of x = 9

Thinking of this in decimal form, this is:

0.05 * x = 9, or 0.05x = 9

To find the answer, we must multiply both sides to get 1x.

Since 0.05 is 1/20 of 1, we must multiply both sides by 20:

0.05x * 20 = 0 * 20:

1x = 180

So the answer is 180!

Hope this helps!

7 0

2 years ago

The length of a shadow of a tree is 9 ft. The distance from the top of the tree to the tip of the shadow is 16 ft. what is the h

Margarita [4]

So for this, you'll be using the pythagorean theorem to solve for the height.

$9^2+b^2=16^2$

Solve the exponents to get $81+b^2=256$

Subtract 81 on each side to get $b^2=175$

Square root each side, and your answer should be $b= \sqrt{175}$ or 13.23 ft

7 0

3 years ago

Write in simplest form

Gnoma [55]

Find the commomon denominator of 6 and 5.

It's 6 · 5 = 30.

$\dfrac{5}{6}=\dfrac{5\cdot5}{6\cdot5}=\dfrac{25}{30}\\\\\dfrac{1}{5}=\dfrac{1\cdot6}{5\cdot6}=\dfrac{6}{30}$

$\left(\dfrac{5}{6}-\dfrac{1}{5}\right)\div\dfrac{4}{5}=\left(\dfrac{25}{30}-\dfrac{6}{30}\right)\div\dfrac{4}{5}=\dfrac{25-6}{30}\div\dfrac{4}{5}=\dfrac{19}{30}\div\dfrac{4}{5}$

Divide by fraction is the same like multiply by reciprocal of this fraction:

$=\dfrac{19}{30}\cdot\dfrac{5}{4}=\dfrac{19}{6}\cdot\dfrac{1}{4}=\dfrac{19}{24}$

4 0

3 years ago

Please help its super easy!!!

andrey2020 [161]

well, 1/7th of the cupcakes is 3. so 2/7ths makes 6. and 21 minus 6 is 15. So, your answer is 15.

4 0

3 years ago

Read 2 more answers