in one baseball season, peter hit twice the difference of the number of home runs alice hit and 3. altogether, they hit 9 home runs. how many home runs did each player hit that season? let h represent alice's home runs.

Answers

Answer 1
Answer:

Answer:

  • Alice 5
  • Peter 4

Step-by-step explanation:

We're told to use h for Alice's homers. Then Peter's homers were ...

  2(h -3) . . . . twice the difference of Alice's and 3

Then the total is ...

  9 = h + 2(h -3) = 3h -6

  15 = 3h

  5 = h

Alice hit 5 homers; Peter hit 4.


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I have a few problems on combining like terms please help:1)   12r-8-12
2)      n-10+9n-3      
3)    -4x-10x
4) -r-10r

Answers

Combing like terms is actually pretty simple. As long as you can do basic addition, multiplication, division, and subtraction, you should be fine. Like terms are two or more terms that have the same variable(s) -- sometimes like terms can be two or more regular numbers without variables as well. When combing like terms without a variable, just perform the operation as normal (i.e. 2 + 5 = 7). When combing like terms with a variable, perform the operation on the coefficients (i.e. 10x + 5x = (10+5)x = 15x). 

1) 12r - 8 - 12
Here the like terms are -8 and 12.
-8 - 12 = -20
12r - 20

2) n - 10 + 9n - 3
Here the like terms are n and 9n and -10 and -3.
To make it easier you can reorder the expression to be n + 9n - 10 - 3.
n + 9n = (1 + 9)n = 10n
-10 - 3 = -13
10n - 13

3) -4x - 10x
Here the like terms are the only two terms in the expression, -4x and -10x.
(-4 - 10)x = -14x
-14x

4) -r - 10r
Here the like terms are the only two terms in the expression, -r and -10r.
(-1 - 10)r = -11
-11r
12r-20\n 10n-13\n -14x\n -11r

Cannon balls for an antique cannon are stacked next to it in four layers to form a square pyramid. How many cannon balls are in a pryimad

Answers

the amount of balls in a given layer can be found by squaring the layer it is in

4 layers
top layer (1st) is 1
2nd is 4
3rd layer is 9
4th is 16

add them up
1+4+9+16=30

30 in that pyramid

Which properties were applied in steps 1 and 3step 1 5(11z+6z+29)
step 3 85z+145


commutative property, then distributive property
communtative property, then identify property
associative property, then distributive property
associative property, then commutative property?

Answers

C - Associative then Distributive

Associative allows the combining of like terms (Both with variable z)
Distributive allows the 5 to distribute through

5(11z+6z+29)
5(17z+29)
5(17z)+5(29)
85z+145

If x = -1/2 is a solution of the quadratic equation 3x2+2kx-3=0 find the value of k

Answers

just substitute for x :)

3(-1/2)2+2k(-1/2)-3=0
-3 + (-1k) -3 = 0 
-6 + (-1k) = 0 
+6            +6
-1k = 6 
/-1     /-1                    k = -6  that's what i believe the answer is 
 

write a rule for how to compare two quantities so that the second quantity has a value of 1 without using a diagram

Answers

We have A and 1.
If A-1>0 it means that A>1.
If A-1<0 it means that A<1.

Which shows a correct order to solve this story problem? Phoebe bought 2 muffins for $1.99 each and 2 cups of milk for $1.50 each at her favorite diner. She left a $1.40 tip for the server. How much did Phoebe have left from the $20 she took to the diner?

A.
Step 1: Add the price of a muffin to the price of a cup of milk.
Step 2: Multiply that total by 2.
Step 3: Add the tip to the final total for all the items.
Step 4: Subtract the total amount with tip from $20.

B.
Step 1: Calculate the price of 2 muffins.
Step 2: Calculate the price of 2 cups of milk.
Step 3: Subtract the total amounts from Steps 1 and 2 from $20.
Step 4: Add the tip to that amount.

C.
Step 1: Add the price of a muffin and the tip.
Step 2: Add the price of a cup of milk to the total from Step 1.
Step 3: Multiply that total by 2.
Step 4: Subtract that total amount from $20.







Which shows a correct order to solve this story problem?

Kent and Curtis went to the state fair. They had to pay a total of $7.18 sales tax on everything they bought. They spent $22.50 for each admission ticket and $35.50 altogether for food. They split all the costs evenly. How much did each boy pay?

A.
Step 1: Calculate the price of 2 admission tickets.
Step 2: Add that amount to the amount spent on food and the tax.
Step 3: Divide by 2.

B.
Step 1: Double the amount for 1 admission ticket.
Step 2: Take half of the amount spent on food and add the total from Step 1 plus the tax.
Step 3: Divide by 2.

C.
Step 1: Add $22.50 and $35.50.
Step 2: Divide the total by 2.
Step 3: Add the amount of the tax.

Answers

It would be A on both questions

First Question
1.99+1.50=3,49
3.49 x 2=6.98
6.98+1.40=8.38
20-8.38=$11.62

Second Question
22.50 x 2=45
45+35.50+7.18=87.68
87.68/2=43.84