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3 years ago

10

Mrs. Drilon’s electric meter reading last month was 1023, and her present electric meter reading is 1053. What is her electric c

onsumption?

1 answer:

irina1246 [14]3 years ago

4 0

Answer:

30

Step-by-step explanation:

Subtract the 1023 reading from the 1053 one:

1053

-1023

---------

30

Her electric consumption was 30.

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Help!! 50 points and brainliest!

Viktor [21]

Answer:

Second choice:

$x=2t$

$y=4t^2+4t-3$

Fifth choice:

$x=t+1$

$y=t^2+4t$

Step-by-step explanation:

Let's look at choice 1.

$x=t+1$

$y=t^2+2t$

I'm going to subtract 1 on both sides for the first equation giving me $x-1=t$ . I will replace the $t$ in the second equation with this substitution from equation 1.

$y=(x-1)^2+2(x-1)$

Expand using the distributive property and the identity $(u+v)^2=u^2+2uv+v^2$ :

$y=(x^2-2x+1)+(2x-2)$

$y=x^2+(-2x+2x)+(1-2)$

$y=x^2+0+-1$

$y=x^2$

So this not the desired result.

Let's look at choice 2.

$x=2t$

$y=4t^2+4t-3$

Solve the first equation for $t$ by dividing both sides by 2:

$t=\frac{x}{2}$ .

Let's plug this into equation 2:

$y=4(\frac{x}{2})^2+4(\frac{x}{2})-3$

$y=4(\frac{x^2}{4})+2x-3$

$y=x^2+2x-3$

This is the desired result.

Choice 3:

$x=t-3$

$y=t^2+2t$

Solve the first equation for $t$ by adding 3 on both sides:

$x+3=t$ .

Plug into second equation:

$y=(x+3)^2+2(x+3)$

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:

$y=(x^2+6x+9)+(2x+6)$

$y=(x^2)+(6x+2x)+(9+6)$

$y=x^2+8x+15$

Not the desired result.

Choice 4:

$x=t^2$

$y=2t-3$

I'm going to solve the bottom equation for $t$ since I don't want to deal with square roots.

Add 3 on both sides:

$y+3=2t$

Divide both sides by 2:

$\frac{y+3}{2}=t$

Plug into equation 1:

$x=(\frac{y+3}{2})^2$

This is not the desired result because the $y$ variable will be squared now instead of the $x$ variable.

Choice 5:

$x=t+1$

$y=t^2+4t$

Solve the first equation for $t$ by subtracting 1 on both sides:

$x-1=t$ .

Plug into equation 2:

$y=(x-1)^2+4(x-1)$

Distribute and use the binomial square identity used earlier:

$y=(x^2-2x+1)+(4x-4)$

$y=(x^2)+(-2x+4x)+(1-4)$

$y=x^2+2x+-3$

$y=x^2+2x-3$ .

This is the desired result.

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4 years ago

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Kiera already has 12 plants in her backyard and she can also grow 1 plant with every seed packet she uses. How many seed packets

Elza [17]

Answer: 12

Step-by-step explanation: 24 - 12 times 1

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3 years ago

n a beanbag toss game, Janelle scores 5 points for landing on a round target and 8 points for landing on a square target. She ne

Galina-37 [17]

The correct answer is 5x+8y>50

6 0

4 years ago

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Troy received a gift of 100 shares of stock from his grandmother on July 1 of the current year. Troy's grandmother had owned the

kumpel [21]

Troy has a basis of $39 per share

total value of shares is $3900

Step-by-step explanation:

On July 1, the date of the gift, the stock was selling for $39 per share.

Troy's basis in the stock = current value of shares

No need to consider the base rate which is in 15 years ago

The current rate of 100 shares = $39 × 100 = $3900

Troy has a basis of $39 per share

total value of shares is $3900

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4 years ago

One out of 10 students will not graduate college because of _____

sladkih [1.3K]

Answer:

1. Immaturity/Fear

2. Lack of Guidance/Support

3. Insufficient Finances

4. Academic Unpreparedness

5. Illness of family member or family issues

Step-by-step explanation:

Read more at:

https://careerprepacademy.com/blog/college/the-5-main-reasons-students-don%E2%80%99t-finish-college

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4 years ago