Answer:
Kira sent 19 text messages, Goran sent 14 text messages and Joe sent 57 text messages.
Step-by-step explanation:
Let be "k" the number of text messages that Kira sent during the weekend, "g" the number of text messages that Gora sent during the weekend and "j" the number of text messages that Joe sent during the weekend.
We know know that they sent a total of 90 text messages then:
Goran sent 5 fewer messages than Kira. This is:
And Joe sent 3 times as many messages as Kira. Then:
The steps to solve this are:
- Substitute the second equation and the third equatio into the first equation and then solve for "k":
- Substitute this value into the second equation to find "g":
- Substitute the value of "k" into the third equation to find "j":
Let's get the data out of the problem:
Nv = 18
Ov = 12
Now, we can apply in this equation that relates the new and the old values:
i = Nv / Ov
i = 18 / 12
i = 1.5
Now, we just consider what has passed from 1, and this is 0.5, converting to percentage it is:
p = 0.5 . 100
p = 50%
The increase was 50%.
Hope it helps.
The GCF (greatest common factor) of 35 and 63 is 7.
Answer:
Virgo:september-october,
Step-by-step explanation:
Answer:
AY = 16
IY = 9
FG = 30
PA = 24
Step-by-step explanation:
<em>The </em><em>centroid </em><em>of the triangle </em><em>divides each median</em><em> at the ratio </em><em>1: 2</em><em> from </em><em>the base</em>
Let us solve the problem
In Δ AFT
∵ Y is the centroid
∵ AP, TI, and FG are medians
→ By using the rule above
∴ Y divides AP at ratio 1: 2 from the base FT
∴ AY = 2 YP
∵ YP = 8
∴ AY = 2(8)
∴ AY = 16
∵ PA = AY + YP
∴ AP = 16 + 8
∴ AP = 24
∵ Y divides TI at ratio 1: 2 from the base FA
∴ TY = 2 IY
∵ TY = 18
∴ 18 = 2
→ Divide both sides by 2
∴ 9 = IY
∴ IY = 9
∵ Y divides FG at ratio 1:2 from the base AT
∴ FY = 2 YG
∵ FY = 20
∴ 20 = 2 YG
→ Divide both sides by 2
∴ 10 = YG
∴ YG = 10
∵ FG = YG + FY
∴ FG = 10 + 20
∴ FG = 30
