4^4x = 8
since 4 = 2^2 & 8= 2^3
so we can write the equation as
(2^2)^4x = 2^3
2^8x =2^3
sp ,, 8x = 3
then x = 3/8
Answer:
4 units
Step-by-step explanation:
The volume of a square pyramid is (a²)*h/3
256=a²*12/3
256=a²*4
256/4=a²
64=a²
a=8
Now we know that the square is 8 by 8.
The volume of a square prism is a²h
256=64h
256/64=h
h=4
Also, a square pyramid is 1/3 the volume of a square prism.
12÷3=4
Answer:
How many items did Bob produce last week? 32 items.
Step-by-step explanation:
(1) Last week Bob was paid total of $480 for the items that he produced that week.
(2) This week Bob produced 2 items more than last week and was paid a total of $510 for the items that he produced this week.
a) Let's start with the simplest case: he produced 36 or less items this week.
In this case he produced less than 36 items last week too.
So he was paid the same amount of dollar per item.
Using (1) and (2) assumptions we have:
$480+2X=$510
⇒2X=$510-$480
⇒2X=$30
⇒2X=$30/2
⇒X=$15
He was paid $15 per item.
Last week he was paid $480.
480/15= 32 items.
This week he was paid $510.
510/15=34 items.
The other cases has no solutions.
Answer:
70 and 110
Step-by-step explanation:
First angle -- 2x
Second angle -- 3x + 5
Therefore,
2x + 3x + 5 = 180
5x = 175
x = 35
Therefore, 2x -- 70
3x + 5 -------------110
Thenks and mark me brainliest :)
Answer:
Step-by-step explanation:
Let third cook take x hours to prepare the same number of pies y alone
Let y be the number of pies
In 1 hour ,third cook prepare pies=
One experienced cook takes time to prepare enough pies =4 hours
In 1 hour , cook prepare pies=
Another cook takes time to prepare same number of pies =7 hours
In 1 hour , another cook prepare pies=
All three cooks take time to prepare the same number of pies=2 hours
In 1 hour,all three cooks prepare pies=
According to question
hours
Hence, the third cook takes time to prepare the same number of pies alone=
