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Solnce55 [7]
4 years ago
5

The set of possible values of m is {5,7,9}. What is the set of possible values of k if 2k=m+3?

Mathematics
1 answer:
Paladinen [302]4 years ago
4 0
Just plug in the values for m

so the possible values for k are
when m=5
2k=5+3 \\ k=4
when m=7
2k=7+3 \\ 
k=5
when m=9
2k=9+3 \\ k=6
so the possible values for k are {4,5,6}
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A fish tank in the shape of a rectangular prism holds 30 cubic feet of water .the tank has a length of 5 feet and width of 3 fee
Flura [38]

Answer:

A - 2 feet

Step-by-step explanation:

We know that the tank is a rectangular prism which means the volume is equal to length*width*depth

since the tank can hold 30 cubic feet of water, we can divide 30 by the given dimensions of the length and width to find the depth

30/5 = 6

6/3 = 2

therefore, the depth of the tank has to be 2 feet (A)

5 0
3 years ago
Complete the equation of the line through (-9,7) & (-6,-3)
scZoUnD [109]

Answer:

y=-\frac{10}{3}x-23

Step-by-step explanation:

we have the points

(-9,7) and (-6,-3)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{-3-7}{-6+9}

m=-\frac{10}{3}

step 2

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=-\frac{10}{3}

(x1,y1)=(-6,-3)

substitute

y+3=-\frac{10}{3}(x+6)  ---> equation in point slope form

step 3

Find the equation of the line in slope intercept form

y=mx+b

we have

y+3=-\frac{10}{3}(x+6)

Isolate the variable y

Distribute right side

y+3=-\frac{10}{3}x-20

subtract 3 both sides

y=-\frac{10}{3}x-20-3

y=-\frac{10}{3}x-23

7 0
3 years ago
Simplify 9 + 6k +3 +212 +3 +7​
melisa1 [442]

Answer:

6k+234

Step-by-Step Explanation:

Add 9, 3, 212, 3, and 7. You get 234. You can't change 6k because the variable, so you end up with 6k+234.

8 0
3 years ago
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10 + 10 =20<br> the answer is 20
Mice21 [21]

Answer:

YEP! YOURE CORRECT!

Step-by-step explanation:

3 0
3 years ago
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Alexei wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area of 19.25 square feet
zhuklara [117]

Let

x---------> the thickness of the frame in feet

At-------> Area of the mirror and the frame in square feet

we know that

At=19.25ft^{2} ------> equation 1

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equate equation 1 and equation 2

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therefore

the answer is the option

C. 4x2 + 16x - 4.25 = 0

5 0
3 years ago
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