For the first 40 hours of work each week, Mr. Ericson earns

Jared has 12 more comic books than Zoe. If they have 28 comic books

ZanzabumX [31]

Answer:

20 comic books

Step-by-step explanation:

Let us first set up a variable, x, for the number of books that Zoe has. If Jared has 12 more comics than Zoe, he would have x+12 books.

Given that Zoe and Jared have a total of 28 comic books, let us write an equation and solve for x:

$x+x+12=28\\2x+12=28$

Now that we have a simplified version of the equation, let us solve for x by isolating the variable on the left side:

$2x=28-12\\2x=16\\x=8$

We now know that x=8, and also that Jared has x+12 books. To find the number of comic books Jared has, let us add 12 to x:

$x+12=\\8+12=\\20\\$

Therefore, Jared has 20 comic books.

I hope this helps! Please let me know if you have any further questions :)

4 0

3 years ago

Simplify, picture attached

Sergeu [11.5K]

Answer:

01/6

wd

Step-by-step explanation:

5 0

3 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

Your car averages 380 miles on a 14-gallon tank of gas. you run out of gas on a deserted highway, but have a half gallon of lawn

Eva8 [605]

380/14= 27.14 miles per gallon
27.14/2=13.57 miles
they wont reach the gas station

4 0

3 years ago

Read 2 more answers

Gridded Response A basketball team scored 8 points more in its second game

Novay_Z [31]

Answer:

51 points

Step-by-step explanation:

x+x+8+42>150

2x+50>150

2x>100

x>50

So, the least number is 51 which satisfies the inequality

Hope this helps plz hit the crown :D

7 0

3 years ago