Answer:
i don't know what exactly your question is but i believe this is the answer if you are trying to find f. f= -1/7g+5/7
Step-by-step explanation:
We have an equation with parentheses. To make our lives easier, first get rid of the parentheses. We do this by using the distributive property.
It is used like this: a(b + c) = ab + ac.
Use the distributive property on the left-hand side.
3(x - 1) = 6
3x - 3 = 6
Now we have an equation that is easier.
The x variable is being multiplied by 3 and added to -3.
Reverse all of these operations with their inverse operation.
3x - 3 = 6
3x = 9 <--- I got rid of the -3 term by using the inverse of subtraction. Addition.
And I did the same for both sides to keep the equation true.
x = 3 <--- The inverse of multiplication is division.
So, I divided both sides by 3.
So, x is equal to 3.
9514 1404 393
Answer:
20.8 cm
Step-by-step explanation:
The term "hypotenuse" suggests this triangle is a right triangle. Then the other leg can be found using the Pythagorean theorem:
x^2 +12^2 = 24^2
x^2 = 576 -144 = 432
x = √432 ≈ 20.8 . . . cm
The other leg is about 20.8 cm.
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<em>Additional comment</em>
A right triangle with a short leg that is 1/2 the length of the hypotenuse is the "special" 30°-60°-90° right triangle. The longer leg is √3 times the length of the short leg: 12√3 ≈ 20.8 cm.
Answer: 8.4; 14.
Step-by-step explanation:
To find how much ribbon we used to tie presents, we need to multiply 9 and 0.4.
9 x 0.4 = 3.6.
Diego used 3.6 meters of yard to tie some presents. We can subtract that from 12 to find how much ribbon we have left.
12 - 3.6 = 8.4.
We have 8.4 meters of ribbon to make wreaths.
Now we have to find how many wreaths we can make wiht 8.4 meters of ribbon. We know that each wreath needs 0.6, so we should divide 8.4 by 0.6 to find how many wreaths we can make.
8.4 ÷ 0.6 = 14.
Therefore, we can make 14 wreaths with the 8.4 meters of leftover ribbon.
(Part A's answer is 8.4, and Part B's answer is 14)
Assuming that Jeremy spent the entire $100 on the party supplies, here's the breakdown:
$100 - $30 = $70 remaining.
$70 - $10 = $60 remaining.
If he spent $60 on ten hats, and each hat was the same price, then each hat would have cost:

The equation is as follows:

Each hat was $6