Answer:
7 hours 30min
Step-by-step explanation:
Step one :
Given data
We are told that Erica can paint 1 room in 5hours
Her work rate is 1/5 room per hour
And also with the assistance of her friend they can paint 1 room in 3 hours
Hence their combined work rate is 1/3 room per hour
Step two
The combined work expression is
1/A+1/B=1/T
Where A=Erica's work rate
B=Rachael's work rate
T=combined work
1/5+1/B=1/3
1/B=1/3-1/5
1/B=5-3/15
1/B=2/15
B=15/2
B=7.5 hours
It will take Rachel 7 hours 30min to paint the room
Answer:
<u><em>Answer is below</em></u>
Step-by-step explanation:
<u><em>Evaluate for h=−8,w=20</em></u>
<u><em>9+20/5+(5)(-8)</em></u>
<u><em>So therefore your answer would be -27</em></u>
Answer:
AD = 84
Step-by-step explanation:
Since B is the midpoint of AC then AB = BC = 2x - 5
Since C is the midpoint of AD then AC = CD, thus
AB + BC = CD, that is
2x - 5 + 2x - 5 = x + 29
4x - 10 = x + 29 ( subtract x from both sides )
3x - 10 = 29 ( add 10 to both sides )
3x = 39 ( divide both sides by 3 )
x = 13
Hence
AD = AB + BC + CD
= 2x - 5 + 2x - 5 + x + 29 = 5x + 19, thus
AD = (5 × 13) + 19 = 65 + 19 = 84
Answer:
B). SAS similarity.
Step-by-step explanation:
In Δ WVU & ΔCAB,
UV/CA = 17/34 = 1/2
&
VW/AB = 14/28 = 1/2
∵ UV/CA = VW/AB = 1/2
& ∠V = ∠A (Given)
∵ ΔWVU ≅ ΔCAB (by SAS similarity)
Answer:
por favor, verifique a explicação
Step-by-step explanation:
Queremos escrever cada um dos números como uma multiplicação de seus fatores; Procedemos da seguinte maneira;
a. 51 = 3 * 17
b. 56 = 2 * 2 * 2 * 7
c. 65 = 5 * 13
d. 77 = 7 * 11
e. 48 = 2 * 2 * 2 * 2 * 3
f. 50 = 2 * 5 * 5
g. 80 = 2 * 2 * 2 * 2 * 5
h. 99 = 3 * 3 * 11
i. 108 = 2 * 2 * 3 * 3 * 3
j. 132 = 2 * 2 * 3 * 11
k. 210 = 2 * 3 * 5 * 7
l. 180 = 2 * 2 * 3 * 3 * 5
m. 234 = 2 * 3 * 3 * 13