Let the sisters have dollars in the amounts of a,b,c.
<span>After the youngest splits half of hers with the others, they have </span>
<span>a/2, b+a/4, c+a/4 </span>
<span>After the middle gives each of the others 4, they have </span>
<span>a/2 + 4, b+a/4 - 8, c+a/4 + 4 </span>
<span>After the eldest splits half of hers with the others, they have </span>
<span>a/2 + 4 + (c+a/4 + 4)/4, b+a/4 - 8 + (c+a/4 + 4)/4, (c+a/4 + 4)/2 </span>
<span>Now they all have 16. </span>
<span>a/2 + 4 + (c+a/4 + 4)/4 = 16 </span>
<span>b+a/4 - 8 + (c+a/4 + 4)/4 = 16 </span>
<span>(c+a/4 + 4)/2 = 16 </span>
<span>substituting in the last expression, we have </span>
<span>a/2 + 4 + 8 = 16 </span>
<span>b + a/4 - 8 + 8 = 16 </span>
<span>c/2 + a/8 + 2 = 16 </span>
<span>a = 8 </span>
<span>b = 14 </span>
<span>c = 26</span>
Answer:
1.67 inches
Step-by-step explanation:
HOPE IT HELPS YOUU
Answer:
9
Step-by-step explanation:
Let larger number be L
and
smaller number be S
The larger is 1 more than twice smaller, so we can write:
L = 1 + 2S
4 times larger is 9 times smaller, so we can write:
4L = 9S
Let's put 1st equation in 2nd and solve for S first:
4L = 9S
4(1 + 2S) = 9S
4 + 8S = 9S
S = 4
Now,
L = 1 + 2S
L = 1 + 2(4)
L = 9
The larger number is, thus, equal to 9
Answer:
233.19 inch³
Step-by-step explanation:
Volume of prisms: Length * Width * Height
given for first prism: Length = 7 cm Width = 3.25 cm Height = 7 cm
given for second prism: length = 7 cm width = 3.25 height = 3.25
using the formula:
Total volume: prism 1 volume + prism 2 volume
Total volume: 7 * 3.25 * 7 + 7 * 3.25 * 3.25
: 159.25+ 79.9375
: 233.1875 inch³
: 233.19 inch³ .........rounded to nearest hundredth