The unit normal for the given plane is <5,2,-1>.
The equation of the plane parallel to the given plane passing through (5,5,4) is therefore
5(x-5)+2(y-5)-1(z-4)=0
simplify =>
5x+2y-z=25+10-4=31
Answer: the plane through (5,5,4) parallel to 5x+2y-z=-6 is 5x+2y-z=31
Answer:
3 cups
Step-by-step explanation:
We can use a proportion to find how many cups of chocolate chips she needs for 30 servings. Assuming c = cups of chocolate chips and b = batches


We can now multiply the diagonal values that don't include the missing variable (30 and 1) and then divide it by the value that is diagonal to the variable (10)

Therefore, she needs 3 cups of chocolate chips to make 30 servings.
Answers:
1. V=triangle area × length
V=1/2×8×12×20
V=960in³
2. triangle area × length
Area of the triangle=1/2×4×11
A=22ft²
V=22×6
V=132ft³
3. b, volume always have cubic power (³)
4. d, same reason of question 3
5+ 2n < 1+ 6n , n= number
Answer:
$120
Step-by-step explanation:
I would like to rewrite your question for others easy to understand:
<em>"Three sisters want to Buy a pda for their father for fathers' day. The least expensive pda in the store is $360. Writen and slove an inequality to fund the least amout of money each girl would have ti contrubute if each contribute an equal amount" </em>
<em />
Let X is the the amount one girl contribute, we have 3 girls => 3X
The least expensive pda in the store is $360, so the total contributed amount must be equal or smaller than the pda cost
<=> 3X
<=> X
So the least amout of money each girl would have to contrubute is $120