Answer: 10, 11, & 12
<u>Step-by-step explanation:</u>
Let x represent the age of the youngest child.
Their ages are consecutive so,
Youngest: x
Middle: x + 1
Oldest: x + 2
The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.
x² = 8(x + 2) + 4
x² = 8x + 16 + 4
x² = 8x + 20
x² - 8x - 20 = 0
(x - 10)(x + 2) = 0
x - 10 = 0 or x + 2 = 0
x = 10 or x = -2
Since age cannot be negative, x = -2 is not valid
So, the Youngest (x) is 10
the Middle (x + 1) is 11
and the Oldest (x + 2) is 12
1024 can be factored into
<span>2(512) </span>
<span>=2^2(256) </span>
<span>=2^3(128) </span>
<span>=2^4(64) </span>
<span>=2^5(32) </span>
<span>=2^6(16) </span>
<span>=2^10 </span>
<span>Therefore, </span>
<span>√1024 = √(2^10) = 2^5 = 32</span>
Answer:
1 roll of ribbon, 1 package of buttons, and 3 packages of beads
Step-by-step explanation:
Use the information you found about how much each makes to answer the question.
Lynette will make 6 decorations.
Since 1 roll makes 6, she needs 1 roll.
Since 1 package of buttons makes 6, she needs 1 package.
Since 1 package of beads makes 2, she needs 3 packages.
The 7 in 701,280 is in the hundred thousands place.
