What you want to do is find the greatest common denominator, so for now put the 17 to the side and focus on the 1/4 and 7/8, we can find the GCD (greatest common denominator) by multiplying 1/4 • 8/8 = 8/32 And then multiplying 7/8 • 4/4 = 28/ 32 So here we have remaining 17 & 8/32 cups PLUS 28/32 cups, you can add the numerators straight across and keeps the denominators the same, which says that she uses 18 & 4/32
Simplified version: 18 & 1/8
Answer:
3 pyramids.
Step-by-step explanation:
The volume of one pyramid is 1/3 * b^2 * h
= 1/3 * 12^2 * 25
= 1200 cm^3.
The volume of one ball bearing = 4/3 * π * 0.7^3
= 1.43676 cm^3.
Therefore the volume of 2490 ball bearings = 2490 * 1 .43676
= 3577.53 cm^3.
So we need 3577.53 / 1200 = 2.98 = 3 pyramids.
The system of equation that can be used to represent the situation is as follows:
The number of water bottle bought = 6
The number of pretzel bought = 10
Let
x = number of water bottle bought
y = number of pretzel bought
Hanson buys 16 items. Therefore,
Hanson spends a total of $47. Therefore,
<h3>Combined System of equation:</h3>
Therefore, let multiply equation(i) by 2
2x + 2y = 32
2x + 3.5y = 47
1.5y = 15
y = 15 / 1.5
y = 10
x + 10 = 16
x = 6
learn more on system of equation: brainly.com/question/20313322?referrer=searchResults
Answer:
h(x)=x²+6 and g(x)=8x-5
prove that hg(x)=19
Step-by-step explanation:
step 1: hog(x)=h[g(x)]
step 2: h(8x-5)
step 3: h(8x-5)= (8x-5)²+6
step 4: (8x-5)(8x-5)+6
step 5: 16x² +15x +6
Step-by-step explanation:
The answer is C.
