Answer:
x > - ![\frac{7}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B4%7D)
Step-by-step explanation:
Given
6(x + 1) > 2x - 1 ← distribute parenthesis on left side
6x + 6 > 2x - 1 ( subtract 2x from both sides )
4x + 6 > - 1 ( subtract 6 from both sides )
4x > - 7 ( divide both sides by 4 )
x > - ![\frac{7}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B4%7D)
Answer:
Step-by-step explanation:
<u>Using slope formula and solving for y</u>
m = (y2 - y1)/(x2 - x1)
- -2/7 = (4 - y)/(3 - 10)
- -2/7 = (4 - y)/-7
- 2 = 4 - y
- y = 4 - 2
- y = 2
Answer:
Therefore the weight of the box that Kiva's father carries is 60 pounds.
Step-by-step explanation:
The weight of the box carried by Kiva is 21 pounds.
Let the weight of the box carried by Kiva's father be y pounds.
The weight of box carried by Kiva is 65% lighter than the weight of the box carried by Kiva's father
Therefore we can write
![( 1 - \frac{65}{100} ) y = 21\hspace{0.2cm} \Rightarrow \hspace{0.2cm} 0.35 y = 21\hspace{0.2cm} \therefore \hspace{0.2cm} y =\hspace{0.2cm} \Rightarrow \hspace{0.2cm} 60\hspace{0.1cm}pounds](https://tex.z-dn.net/?f=%28%201%20-%20%5Cfrac%7B65%7D%7B100%7D%20%29%20y%20%3D%2021%5Chspace%7B0.2cm%7D%20%5CRightarrow%20%5Chspace%7B0.2cm%7D%20%200.35%20y%20%3D%2021%5Chspace%7B0.2cm%7D%20%5Ctherefore%20%5Chspace%7B0.2cm%7D%20%20y%20%3D%5Chspace%7B0.2cm%7D%20%5CRightarrow%20%5Chspace%7B0.2cm%7D%2060%5Chspace%7B0.1cm%7Dpounds)
Therefore the weight of the box that Kiva's father carries is 60 pounds.
Answer:
1. is a 30 60 90 triangle so x = 30
pardon my bad handwriting for below
2.
STEP 1: subtract the angle you have from 180
STEP 2: add your x values together, if there is a non x number (such as + 10) balance it out on the other side by adding or subtracting
STEP 3: divide so that x has no coeffecient in front of it
STEP 4: substitute x values with the value you got
STEP 5: verify by adding the angles you got, it'll be correct if it equals 180
Answer: See explanation
Step-by-step explanation:
First and foremost, we should know that: 1 kilogram = 1,000,000 milligrams
Therefore, 1.08kg will be converted to milligram and this will be:
= 1.08 × 1,000,000 milligrams
= 1,080,000 milligrams
Since every plant gets 93mg of fertilizer, the number of plants that can be fertilized will be:
= 1,080,000 / 93
= 11612.903
Therefore, 11612 plants can be fertilized.
The fertilizer left over will be:
= 1,080,000 - (11612 × 93)
= 1080000mg - 1079916mg
= 84 mg