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nataly862011 [7]
3 years ago
10

The scale reads 18kg a dog weighed at an animal clinic. About how many pounds dose the dog weigh​

Mathematics
2 answers:
Naily [24]3 years ago
6 0

Answer:

39.6

Step-by-step explanation:

since 1kg=2.2pounds

so 18kg=18×2.2=39.6 pounds

zhenek [66]3 years ago
5 0

Answer:

Step-by-step explanation:

80 pds

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There are 10 marbles in a bag. 1/5 are red and the others are blue. What is the ratio to blue marbles.
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Answer:

Ratio = 1 : 4

Step-by-step explanation:

Total marbles = 10

Given 1/5 is red, that is 1/5 of the total marbles are red

                                                            \frac{1}{5} \ of \ 10 = \frac{1}{5} \times 10 = 2

Therefore , 10 - 2 = 8 marbles are blue.

Ratio of red marbles to blue marbles

                                    \frac{2}{8} = \frac{1}{4} = 1 : 4

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Find the coordinates of the point (x,y,z) on the planez=4x+3y+1 which is closest to the origin.
Nataliya [291]
Given plane &Pi; : f(x,y,z) = 4x+3y-z = -1
Need to find point P on &Pi;  that is closest to the origin O=(0,0,0).

Solution:
First step: check if O is on the plane &Pi; : f(0,0,0)=0 &ne; -1 => O is not on &Pi;
Next:
We know that the required point must lie on the normal vector <4,3,-1> passing through the origin, i.e. 
P=(0,0,0)+k<4,3,-1> = (4k,3k,-k)
For P to lie on plane &Pi; , it must satisfy
4(4k)+3(3k)-(-k)=-1
Solving for k
k=-1/26
=>
Point P is (4k,3k,-k) = (-4/26, -3/26, 1/26) = (-2/13, -3/26, 1/26)
because P is on the normal vector originating from the origin, and it satisfies the equation of plane &Pi;
Answer: P(-2/13, -3/26, 1/26) is the point on &Pi; closest to the origin.

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