The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the United States from birth to
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Answer:
2744 pennies.
Step-by-step explanation:
Let x represent the number of pennies Al have initially.
We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be .
We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be .
Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be .
We are also told that Dani received 216 pennies. Now, we will equate 216 to and solve for x as shown below:
Therefore, Al have 2744 pennies initially.
Diagram of two triangles
The two triangles are similar because they are both right triangles, meaning that one angle is 90° and the other two are acute (less than 90°).
The diagram on the left is missing its hypotenuse - the variable <em>c</em><em>.</em><em> </em>The hypotenuse is opposite of the right angle. The diagram on the right side is missing one of its legs.
Note: The hypotenuse is the <em>longest</em><em> </em>side of a right triangle.
Word Problen
The legs are 21 blocks and 20 blocks because they are by the right angle. Use the Pythagorean theorem to find the diagonal path's length, which is the hypotenuse.
Standard form of Pythagorean theorem.
Equation with the legs substituted and the missing hypotenuse value - <em> </em><em>c</em><em>.</em>
Square the legs and add.
Take the square root and simplify. The square root of 841 is 29 and -29, but distance is positive.
Thus the diagonal distance is 29 blocks.
Check by substituting.