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Eduardwww [97]
2 years ago
10

1. If you were to shade all the numbers that are divisible by 2 and by 3 in this multiplication table which rows would be comple

tely shaded? Why?
Mathematics
1 answer:
Inessa05 [86]2 years ago
7 0

Answer:

The ones that are divisible by 6

Step-by-step explanation:

If it is even, divisible by 2

If the sum of digits is divisble by 3, it would be divisible.

These examples are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.

You are welcome,

Kayden Kohl

8th Grade

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20.
Alik [6]

Answer:

After 3 seconds

Step-by-step explanation:

Given

h(t) = -16t^2 + 96t

Required

Seconds to attain maximum height

The maximum of a quadratic function y = ax^2 + bx + c is calculated using:

x = -\frac{b}{2a}

So, we have:

t = -\frac{b}{2a}

Where:

a = -16 and b = 96

So:

t = -\frac{96}{2 * -16}

t = -\frac{96}{-32}

Cancel out negatives

t = \frac{96}{32}

t = 3

5 0
2 years ago
Suppose f varies directly as g, and f varies inversely as h. Find g when f = 12 and h = 10, if g = 198 when h = –11 and f = –6.
sattari [20]

Answer:

360

Step-by-step explanation:

f varies directly as g

f = kg  where k is the constant of variation

f varies inversely as h

f = kg/h

We know g = 198 when  h = –11 and f = –6.  Substituting in

-6 = k*198/(-11)

-6 =k*(-18)

Dividing each side by -18

-6/-18 = k*-18/-18

1/3 =k

Our equation is

f = 1/3 g/h

Letting  f = 12 and h = 10

12 = 1/3 g/10

Multiply each side by 10

12*10 =1/3 g/10*10

120 = 1/3 g

Multiply each side by 3

120*3 =1/3 g *3

360 =g

5 0
3 years ago
Solve the system of equations. y=3x-1 and y=-2x+9. PLEASE SHOW WORK
kow [346]

Since both equations equal Y, set them equal to each other and solve.


3x -1 = -2x +9

Add 2x to each side:

5x - 1 = 9

Add 1 to each side:

5x = 10

Divide both sides by 5:

x = 10/5

x = 2


Now replace x with 2 and solve for y:

y = 3(2) -1 = 6-1 = 5


x = 2, y = 5  (2,5)

7 0
3 years ago
The figure below shows a tent with wires attached to help stabilize it. The length of each wire is 8 feet greater than the dista
Anestetic [448]

Answer:

The length of 2 wires are 13 feet and 12 feet [i don't know if the 3rd side is a wire, if so, the length is 5 feet]

Step-by-step explanation:

<em>The image of the tent is attached.</em>

<em />

As we can see, it creates a right triangle with "x+8" side being the hypotenuse of the triangle.

The pythagorean theorem tells us:

Hypotenuse^2 = Leg^2 + Leg^2

THe hypotenuse is "x+8", the two legs are "x" and "x+7" respectively. Let's solve for x:

(x+8)^2=(x+7)^2+x^2

We expand and solve for x:

(x+8)^2=(x+7)^2+x^2\\x^2+16x+64=x^2+14x+49+x^2\\x^2+16x+64=2x^2+14x+49\\x^2-2x-15=0\\(x-5)(x+3)=0\\x=5,-3

Length can't be negative, so x = 5.

Hence, the 3 sides of the triangle are:

x = 5

x + 8 = 13

x + 7 = 12

The length of 2 wires are 13 feet and 12 feet

8 0
3 years ago
How to find d the values of x and y
stich3 [128]
Attached solution with detailed work.

8 0
3 years ago
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