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tekilochka [14]

3 years ago

8

Linda gets paid $80 per day. Unfortunately Linda went home sick after working 1/3 of the day on Friday. At her company they don’

t get paid if they don’t work. How many did she earn?

1 answer:

Ludmilka [50]3 years ago

7 0

Answer:

26.67

Step-by-step explanation:

Take the total amount per day and multiply by the fraction of the day that she worked

80 *1/3 =26.66666

Rounding to the nearest cent

26.67

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answer: 195cm

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2 years ago

6. David gets 65 chocolates an hour for cleaning. He gets a 15% raise. He

Sonja [21]

Answer:

Before raise: 65 chocolates/hour*60=3900 chocolates

Raise=65 * (15%=15/100=.15) .15=9.75 more chocolates per hour

With raise 74.75 chocolates/hour*60=4485 chocolates

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Step-by-step explanation:

7 0

2 years ago

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.

3 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%2013x%3D%20-6" id="TexFormula1" title="x^{2} + 13x= -6" alt="x^{2} + 13x= -6

HACTEHA [7]

Answer:

Is that a magic spell??

Step-by-step explanation:

???

6 0

3 years ago

If r is the midpoint of AB and AR=14, then AB=______

skelet666 [1.2K]

Answer:

28

Step-by-step explanation:

The midpoint is halfway, so if half the length is 14 then the full length is 28 (14 × 2 = 28)

Hope this helps!

4 0

3 years ago