Answer:
It is more efficient to use order of operations because with the distributive property, you would have to multiply four times and add once (5 things to do), whereas with order of operations, you have to add twice and multiply twice (4 things to do).
Step-by-step explanation:
Y=2x-1
y=-3x+14
First you would substitue one of the y's for the other so
2x-1=-3x+14
no you would solve for x...
add one on both sides
2x=-3x+15
now add 3x to both sides which becomes
5x=15
divide 5 on both sides which gives you x=3
now to solve for y plug into any one of the equations(doesn't matter which one) from before 3 for x and solve
y=2(3)-1
y=6-1
y=5
And that is you answer y=5
Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
Step-by-step explanation:
A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?
Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.
Solution:
The table is:
No. of hops Distance traveled
20 30
50 75
80 120
150 ?
From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet
Find the slope of the line:
m = (y2-y1) / (x2-x1)
m=slope of the line
y2-y1 = change in distance travelled
x-2 - x1 = Change in number of hops
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
=45 / 30
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5x
y = 1.5 × 150
y = 225
Answer:
![\huge{\purple {r= 2\times\sqrt[3]3}}](https://tex.z-dn.net/?f=%5Chuge%7B%5Cpurple%20%7Br%3D%202%5Ctimes%5Csqrt%5B3%5D3%7D%7D)
![\huge 2\times \sqrt [3]3 = 2.88](https://tex.z-dn.net/?f=%5Chuge%202%5Ctimes%20%5Csqrt%20%5B3%5D3%20%3D%202.88)
Step-by-step explanation:
- For solid iron sphere:
- radius (r) = 2 cm (Given)
- Formula for
is given as:
- For cone:
- r : h = 3 : 4 (Given)
- Let r = 3x & h = 4x
- Formula for
is given as:
- It is given that: iron sphere is melted and recasted in a solid right circular cone of same volume
![\implies \huge{\purple {r= 2\times\sqrt[3]3}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Chuge%7B%5Cpurple%20%7Br%3D%202%5Ctimes%5Csqrt%5B3%5D3%7D%7D)
- Assuming log on both sides, we find:
- Taking antilog on both sides, we find:
