1,000 = 10^3 (3 because there are 3 digits after the first one)
2,000 = 2 * 10^3
b - 10 = 7
Take 10 to the other side.
b = 17
Multiply by 4 to isolate b
b × 4 = 17 × 4
4 and 4 cancels out
b = 68
Answer:
George doesn't have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs
Step-by-step explanation:
From the above question:
George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money.
Look at the numerical expression George used: 15 −( 9 + 2.65 + 1.35 + 2(1.74) )
Use the order of operations to simplify this expression.
Using the order of operations we have:
=$ 15 - (9 + 2.65 + 1.35 + 2(1.74) )
= $15 -( 9 + 2.65 + 1.35 + 3.48 )
=$ 15 - (16.48)
= $-1.48
George doesn't have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs
The answer is 8 ft.
The base area of rectangular prism is: A = l * w = 56 ft²
<span>The length of the base is longer than the width: l > w
The volume of the prism is: V = l * w * h = 840 ft</span>³
<span>The sum of the length and width of the base is equal to the height of the pyramid: l + w = h
So:
</span>l * w = 56
l * w * h = 840
___
56 * h = 840
h = 840 / 56
h = 15 ft
Now, we know that
l + w = 15 ⇒ w = 15 - l
l * w = 56
___
l * (15 - l) = 56
15l - l² = 56
0 = l² - 15l + 56
Or: l² - 15l + 56 = 0
Let's solve the quadratic function:
l = (-b +/-√(b² - 4ac)/(2a)
= (15 +/-√(-15)² - 4 * 1 * 56))/(2*1)
= (15 +/- √(225 - 224))/2
= (15 +/- √1)/2
= (15 +/-1)/2
l = (15+1)/2 = 16/2 = 8
or
l = (15-1)/2 = 14/2 = 7
If l = 8, then w = 15 - 8 = 7. So, l > w
If l = 7, then w = 15 - 7 = 8. So, l < w
Therefore, l = 8 ft.
