Answer:
x = √5
Step-by-step explanation:
The Pythagorean theorem tells you the square of the diagonal is the sum of the squares of the two sides:
(√7)² = (√2)² + x²
7 = 2 + x² . . . . . . simplify
5 = x² . . . . . . . . . subtract 2
√5 = x . . . . . . . . . take the square root
False, you would just divide 20 by -4 to get the answer.
Answer:
The first number is 138.
Step-by-step explanation:
Let the first number be <em>x.</em>
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Then since they are consecutive numbers, the second number will be (<em>x</em> + 1), the third (<em>x</em> + 2), the fourth (<em>x</em> + 3) and the fifth being (<em>x</em> + 4).
We are given that their sum is 700. Therefore:
Solve for <em>x</em>. Combine like terms:
Subtract 10 from both sides:
Divide both sides by five. Therefore:
The first number is 138.
Answer:
Amount they ate is 6/8 or 3/4 of the pizza
Amount left over is 2/8 or 1/4 of the pizza.
Step-by-step explanation:
your family at 6 out of 8 pieces and simplified thats 3/4 if you divide both by 2
so the pieces left over would be 2 pieces or 2 out of the 8 pieces are left over.
making your fraction 2/8
Now you simplify and you can divided both 2 and 8 by 2
Making your other fraction 1/4
Answer: 2214 blocks
Step-by-step explanation:
From the question, we are told that Timothy is sorting his building blocks into 8 bins and that each bin can hold 286 blocks. Therefore, the total blocks that the bins would hold would be:
= 286 × 8
= 2288 blocks.
We are further told that he has already put 74 blocks in the bins. The number of remaining blocks that Timothy need to sort would be:
= 2288 - 74
= 2214 blocks
