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3 years ago

Devaughn's age is two times Sydney's age. The sum of their ages is 51 . What is Sydney's age?

1 answer:

7 0

Let D stand for devaughn and let S stand for sydney so it implies that as at now since D is twice the age of S, we have an equation like D=2S....eqn 1 since their age sum to 51 we have an equation like S+D = 51......eqn2 but we previously have D=2S so we get equation 2 to become S+2S=51 so 3S=51 and therefore S = 51/3 and D = 2times 51/3 which is 102/3...

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Which of the following shows the solution to the inequality

otez555 [7]

Answer:

I got x = 1

Step-by-step explanation:

First to isolate the variable you add 3 to both sides which will give you 1/2x is less than or equal to 2. Then divide both sides by 1/2 and you will get x = 1. To check the answer I just did:

$1/2(1) -3 \leq -1\\1/2 -3\leq -1\\-2.5\leq -1$

And since -2.5 is less than -1 this statement is true. x does in fact equal 1

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2 years ago

K is the midpoint of PQ, P has

Pachacha [2.7K]

Answer:

Coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q $(x_2,y_2)$

We will use the formula of midpoint: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

We are given midpoint K and $x_1,y_1$ the coordinates of P we need to find $x_2,y_2$ the coordinates of Q.

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\$

Now, we can write

$-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16$

So, we get coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

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3 years ago

Consider continuous functions f, g, h, and k. Then complete the statements.

Ghella [55]

It wouldn't let me post the answer. See images for the answer and explanation

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2 years ago

Can someone help me with (d)

zysi [14]

Answer:

Step-by-step explanation:

1 to the power of anything is still one

1 * 1 * 1 * 1 = 1

8 0

3 years ago

The difference of the square of a number and 28 is equal to 3 times that number

Pepsi [2]

Answer:

- 4, 7

Step-by-step explanation:

Let the required number be x.

Therefore, according to the given condition:

${x}^{2} - 28 = 3x \\ {x}^{2} - 3x - 28 = 0 \\ {x}^{2} - 7x + 4x - 28 = 0 \\ x(x - 7) + 4(x - 7) = 0 \\ (x - 7)(x + 4) = 0 \\ x - 7 = 0 \: or \: x + 4 = 0 \\ x = 7 \: or \: x = - 4 \\$

5 0

3 years ago