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Irina-Kira [14]
3 years ago
6

The ratio of dogs to cats in a park is 10 to 9. If there are 50 dogs then how many cats are there

Mathematics
1 answer:
serious [3.7K]3 years ago
6 0
Knowing the ratio for dogs to cats is 10:9

To get to 50 dogs they multiplied 10x5

So multiply 9x5 as well to get the number of cats

Cats = 45

:) hope this helps
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Carrie started with 12 ounces of water when she begin to walk. When she was finish walking she had 2 1/4 ounces of water left. H
Gelneren [198K]

Answer:  9 3/4 oz

Step-by-step explanation:

12 - 2 1/4 = 9 3/4 oz

8 0
3 years ago
The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1. A bee i
madam [21]

You're looking for the extreme values of T(x,y,z)=3x+6y-6z+1 subject to x^2+y^2+z^2=9. The Lagrangian is

L(x,y,z,\lambda)=3x+6y-6z+1+\lambda(x^2+y^2+z^2-9)

with critical wherever the partial derivatives vanish:

L_x=3+2\lambda x=0\implies x=-\dfrac3{2\lambda}

L_y=6+2\lambda y=0\implies y=-\dfrac3\lambda

L_z=-6+2\lambda z=0\implies z=\dfrac3\lambda

L_\lambda=x^2+y^2+z^2-9=0

Substituting the first three solutions into the last equation gives

\dfrac9{4\lambda^2}+\dfrac9{\lambda^2}+\dfrac9{\lambda^2}=9

\implies\lambda=\pm\dfrac32

\implies x=1,y=2,z=-2\text{ or }x=-1,y=-2,z=2

At these points, we have

T(1,2,-2)=28

T(-1,-2,2)=-26

so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).

6 0
3 years ago
If Carol pays $62.90 to fill the 17-gallon gas tank in her vehicle and she can drive 330
devlian [24]

Answer:

give me your points you stuped

3 0
2 years ago
Janelle practices basketball every
enyata [817]
Janelle practices every afternoon
3 0
2 years ago
Solve the following equation:<br> 1-31 x 8 = x<br> X =
Yuki888 [10]

Answer:

The square root of a negative number is not a real number

=

−

9

8

8

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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