1. Answer=66cards

Lets use the variable 'x' to represent the number of baseball cards in Keith's collection that he started with. The following equation can be made.

(x+6)/2=36
multiply both sides by 2
x+6=72
subtract 6 from both sides
x=66 cards

2. Answer=$12

Lets use the variable 'a' to represent Sara's allowance. The following equation can be made:

(a/2)+7=13
subtract 7 from both sides
a/2=6
multiply both sides by 2
a=$12

5 0

3 years ago

Corey is 176 miles from Tom. Traveling towards each other. If Tom travels 4 mph faster than Corey and they meet after 8 hours, h

Bingel [31]

Answer:Corey was travelling at 9 miles per hour and Tom was travelling at 13 miles per hour.

Step-by-step explanation:

Let x represent Corey's speed.

If Tom travels 4 mph faster than Corey, it means that Tom's speed would be (x + 4) mph

Corey is 176 miles from Tom and they are traveling towards each other. If they meet after 8 hours, it means that they travelled a total distance of 176 miles in 8 hours.

Distance = speed × time

Distance travelled by Corey in 8 hours would be

8 × x = 8x miles

Distance travelled by Tom in 8 hours would be

8(x + 4) = (8x + 32) miles

Since the total distance travelled by Tom and Corey is 176 miles, then

8x + 8x + 32 = 176

16x = 176 - 32 = 144

x = 144/16 = 9 miles per hour

Tom's speed would be

9 + 4 = 13 miles per hour

6 0

3 years ago

In $\triangle pqr$, we have $pq = qr = 34$ and $pr = 32$. point $m$ is the midpoint of $\overline{qr}$. find $pm$.

LekaFEV [45]

In triangle PQR, by the law of cosines we have

$34^2=32^2+34^2-2\cdot32\cdot34\cos(m\angle PQR)\implies\cos(m\angle PQR)=\dfrac8{17}$

In triangle PMQ, we have

$PM^2=32^2+17^2-2\cdot32\cdot17\cos(m\angle PQR)\implies PM^2=801\implies PM=\boxed{3\sqrt{89}}$

5 0

3 years ago

(-3)^0 this is expodential equations

sammy [17]

Answer:

i pretty sure its

Step-by-step explanation:

8 0

2 years ago