Answer:
Step-by-step explanation:
Assume that the two prisms have bases of equal area.
Then the volume of the rectangular prism is V = (base area)(height).
The volume of the triangular prism is V = (1/3)(base area)(height)
We could compare the two volumes by creating the ratio inequality
(1/3) (base area)(t-height)
------------------------------------------
(base area)(r-height)
The triangular prism will have the greater volume for (1/3)((t-height) > r-height.
7/8 × c ⇒ substitute ⇒ turn 8 into a fraction
7 8 56
___ × ___ = _____ = 7
8 1 8
Your answer is 7
Answer:
5.6 gallons.
Step-by-step explanation:
If we take x gallons of 25% grape juice then it will contain 
gallons of pure grape juice.
Again, if we take y gallons of 75% grape juice then it will contain 
gallons of pure grape juice.
If we mix them then the total volume will become x + y = 7 gallons ...... (1)
Again the mixture will become 35% juice.
So, 
⇒ 0.25x + 0.75y = 0.35x + 0.35y
⇒0.1x = 0.4y
⇒x = 4y........ (2)
Now, solving equations (1) and (2) we get, 5y = 7, ⇒ y = 1.4 gallons
Hence, x = 4y = 5.6 gallons
Therefore, the 25% grape juice was mixed by 5.6 gallons. (Answer)
I am just trying to get point not right answer 89 ml = 80 km = 39
Answer: 24 and 76
Step-by-step explanation:
{
d
+
q
=
100
10
d
+
25
q
=
2140
From the first equation, we have
d
=
100
−
q
Substituting that into the second equation, we have
10
(
100
−
q
)
+
25
q
=
2140
⇒
1000
−
10
q
+
25
q
=
2140
⇒
15
q
=
1140
⇒
q
=
1140
15
=
76
Knowing that
q
=
76
we can substitute that value into the first equation to obtain
d
+
76
=
100
∴
d
=
24
Thus, Sue has
24
dimes and
76
quarters.
