If 6 is placed at the right end of AB, so the number is AB6.
the value of the three-digit number formed is 294 more than AB, means that if AB6 - 294 = AB <span>
</span>AB 6
- 2 9 4
AB <span>
</span>6 - 4 = B = 2 <span>
</span>If B = 2, then the tens digit is 2 - 9 (which can't be) so 12 - 9 = 3 = A <span>
</span>A = 3, and B = 2 <span>
</span><span>check: 326 - 294 = 32</span>
let us take the smallest integer as x
the second smallest as x+1
and the largest as x+2
since the sum is -204 we should add all of it to get the answer
therefore x+x+1+x+2=-204
3x+3=-204
3x=-204-3
3x=-207
x=-207/3
x=-69
the largest number is x+2
therefore the largest number is -67
to check whether it is right just add them and check whether we get - 204
therefore -69+-68+-67=
-204
therefore the answer is -67
Answer:
x = 3 and 7
There are two true solutions.
Step-by-step explanation:
To solve 
, use inverse operations by squaring both sides of the equal sign.
The quadratic expression can be factored into binomials and set equal to 0 by the zero product property to find x.
(x - 3) ( x - 7) = 0
x-3 = 0 so x=3
x-7 = 0 so x=7
Now check each solution into the original equation to be sure it solve the solution and is not extraneous.
and
![3-7 = \sqrt{-4(3)+28}\\[tex]-4 = \sqrt{16}\\-4 =-4](https://tex.z-dn.net/?f=3-7%20%3D%20%5Csqrt%7B-4%283%29%2B28%7D%5C%5C%5Btex%5D-4%20%3D%20%5Csqrt%7B16%7D%5C%5C-4%20%3D-4)
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Answer:
2 cups of peanut butter
Step-by-step explanation:
Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
From the above question:
1/2 cup of oil = 1 cup of peanut butter
1 cup of oil = x
Cross Multiply
1/2x = 1 × 1
x = 1 ÷ 1/2
x = 1 × 2/1
x = 2 cups of peanut butter.
Therefore, for huge batch with 1 cup of oil, she should use 2 cups of peanut butter.
Answer:
Step-by-step explanation:
