NerdyKid

When we are doing problems like this, we have to get x by itself. To get x by itself we have to divide both sides by 2 to get x=17. We can check our work by inputting x for 17 and multiplying by 2 to get 34 and we know that 34=34, so x=17.

Assuming that we can have "non-sense" words

We could have  a word with an "A"  and this letter could appear in any of 4 positions......and we could choose any of the other three consonants to occupy a second positon, then any two of the consonants to occupy a third position, and the last consonant would appear in the last position by default.......so we have

4 * 3 * 2 *1  =      24 words using just the A  and the other three consonants

The same result would occur if we just used the "E" and the other three consonants

If we used the "A"  and the "E," we would have 24 words using any two of the other consonants......but, we could choose any 2 of the 3 remaining consonants.....so   the total "words"   would be  24 * (3C2)  = 24 * 3  =  72

So....the total number of words would  be 24 + 24 + 72  =  120 "words"

Thank you Melody!!!

7/16 x  = pencils where  x = total number of writing instruments

7/ 16 x  + 1  = 5/12 (x+4)

21/48  x + 1 = 20/48 x + 80/48

1/48 x = 32/48

x = 32    pencils+ pens originally  

7/16 (32) = 14  pencils originally   ... and you found one more    = 15

the questions isn't explain nor answered

the question isn't explained

Because h is proportional to the square of v. We have to input 20 for v and square it to get 400. 35^2=1225. We can make a proportion 8/400=x/1225. When we simplify we get 1/50=x/1225 When we cross multiply we get 50x=1225 and divide both sides by 50 we get x=24.5

Because it is proportional to the respected numbers square. 4^2=16 and because it is proportional 80/16=5. We have to square 8 to get 64 and then multiply that value by 5 to get 320. 

Because it is proportional to the respected numbers square. 4^2=16 and because it is proportional 80/16=5. We have to square 8 to get 64 and then multiply that value by 5 to get 320. 

Because it is proportional to the respected numbers square. 4^2=16 and because it is proportional 80/16=5. We have to square 8 to get 64 and then multiply that value by 5 to get 320. 

Adding 1/6 to both sides we get 2/3a=1/2. Multiply both sides by 3/2 to get a by itself on one side. By doing this we get a=3/4

We have to get a common denominator in both equations. Let's try to make it positive and the smallest, so it would be 12. Multiplying the left side by 4 would get us (20-4c)/12 and multiplying by -3 on the right side would get us (-6c-6)/12. We can cancel out the denominators by multiply both sides by 1/12 to get 20-4c=-6c-6. Adding 6 to both sides gets us -4c+26=-6c and adding 4c to both sides gets us 26=-2c. Divide by -2 on both sides to get c = -13. Hope this helps!

We can find the unit rate by dividing gallons by price. 70/21 is 3 1/3 and 50/15 is 3 1/3. Both are the same prices so it depends on your personal choice. I would choose the gas that is better for the environment.

Let's start by finding a unit rate. Dividing the price by pounds will give you the price for one pound. If we do 29.85/1.5 we get 19.9 and if we do 20.28/1.2 we get 16.9. 19.9 > 16.9. We always want the better deal, so I would choose the granny apples.

I answerd that, but why doesn't it count as me. I just registered

Let's start by making a proportion 120/800=x/100, we can simplify 120/800 into 15/100. By doing this 15/100 = x/100. This makes it really easy for us, so there are 15 people running for the cause out of 100.

At least you learnt it now, but good explanation still

There are 9 pizzas so assuming that they are the same price. The equation would be x=85.50/9, when you divide for it you get x as 9.50

1. For a triangle XYZ, we use [XYZ] to denote its area.

Let ABCD be a square with side length 1. Points E and F lie on line BC and line CD, respectively, in such a way that angle EAF=45 degrees If [CEF]=1/9, what is the value of [AEF]?

2. A triangle T is separated into two congruent triangles by a straight cut. Which of the following statements are true?

A) T must have two sides with equal length.
B) The cut must be perpendicular to one side of T.
C)  T must have two interior angles with the same measure.
D) The cut must go through the midpoint of one side of T.

Type your answer as a list of letters separated by commas. For instance, if you believe that conditions A, B, and C are enough, then type "A,B,C" into the answer box. If you believe none of the options are correct, enter "none."

3.   Line PS bisects angle QPR . We can ensure that triangle PQS is congruent to triangle PRS by adding just one more condition. Which of the following statements could be that condition?

A) PQ=PR
B) SQ=SR
C) Angle PQS=Angle PRS
D) Angle PSQ=Angle PSR

Hint: The figure is a kite bisected into two parts from P to S
Type your answer as a list of letters separated by commas. For instance, if you believe that any of the conditions A, B, or C would be enough, then type "A,B,C" into the answer box. If you believe none of the options are correct, enter "none."