Answer: <em>x </em>= 13
Step-by-step explanation: the equation to solve this is:
4 × (4 + 8) = 3 × (3 + <em>x</em>)
so we solve the first half of that:
4 × (4 + 8)
4 × 12
48
now we have:
48 = 3 × (3 +<em> x</em>)
so we switch the sides to make it easier and solve
3 × (3 + <em>x</em>) = 48
divide both sides by 3
3 × (3 + <em>x</em>) ÷ 3 = 48 ÷ 3
and get
3 +<em> x</em> = 16
now subtract 3 from both sides
3 + <em>x</em> = 16
-3 -3
and finally we get
<em>x </em>= 13
hope this helped :)
Answer:
Step-by-step explanation:
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Answer:
75.40 inches
Step-by-step explanation:
If it is its circumference, then the answer is self-evident, 24 inches. If it is its diameter, then we must do a little calculation, multiplying the diameter by Pi to reach 75.40 inches.
In order to solve this problem, we transform the statements into
algebraic expressions. First, we assign the variables.
Let:
x = Gina’s number
y = Sara’s number
For the first equation, we show that Gina’s number is greater
than Sara’s number by 2. For the second equation, we show that the sum of both
numbers is 68.
<span>(1)
</span>x – y = 2
<span>(2)
</span>x + y = 68
<span>We
add the two expressions, which result in the expression: 2x = 70. Then we
divide 70 by 2 to get the value of x. We then have x = 35. Using the second
equation, we solve for y = 68-35. This gives y = 33. To summarize, Gina’s
number is 35 while Sara’s number is 33.</span>
Answer:
B. 
Step-by-step explanation:
![\displaystyle x^2 = -8x - 7 → x^2 + 8x + 7 \\ \\ x^2 + 8x + 7 \\ [x + 1][x + 7]; -1, -7 = x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E2%20%3D%20-8x%20-%207%20%E2%86%92%20x%5E2%20%2B%208x%20%2B%207%20%5C%5C%20%5C%5C%20x%5E2%20%2B%208x%20%2B%207%20%5C%5C%20%5Bx%20%2B%201%5D%5Bx%20%2B%207%5D%3B%20-1%2C%20-7%20%3D%20x)
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