Henry has a new album for his baseball cards. He uses pages that hold 6 cards and pages that hold 3 cards. If Henry has 36 cards, how many different ways can he put them in his album? Henry can put the cards in his album Ways.

Answers

Answer 1
Answer: Answer=7 possibilities, assuming that the order in which they are put in isn't a factor.
Possibillities:
1.  6*6=36
2.  (6*5)+(3*2)=36
3.  (6*4)+(3*4)=36
4.  (6*3)+(3*6)=36
5.  (6*2)+(3*8)=36
6.  6+(3*10)=36
7.  3*12=36

7 different ways

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Answers

The second one on the top is also a rotation.

As and b demonstrate rotation

Simplify the expression 6√2/√3

Answers

6√2/√3

= (6√2)/√3

= 2√6

I hope that's help

When graphed, the circle with equation x^2 + y^2 + 4x - 4y + 7 = 0

will lie ENTIRELY in Quadrant
A) I.
B) II.
C) III.
D) IV.

Answers

Answer:

the correct answer is C

Step-by-step explanation:


The length of an object in feet is equal to three times its length in yards. The length of a waterslide is 48 feet. Write and pick equation to find the length of a waterslide in yards

Answers

Answer:

Equation is: L=3y

Length in yards is 16 yards.

Step-by-step explanation:

Let 'L' represent length in feet and 'y' in yards.

Given:

Length of the waterslide is, L=48\ ft

Length in feet is three time its length in yards. Therefore,

Length in feet = 3* Length in yards.

L=3y

Dividing both sides by 3, we get:

(L)/(3)=(3y)/(3)\n\ny=(L)/(3)

Now, plug in 48 for 'L' and solve for 'y'. This gives,

y=(48)/(3)\n\ny=16\ yards

Therefore, the length of the waterslide of length 48 feet in yards is 16 yards.

The division property of equality could be used to solve which of the following equations?a. 5x= 30
b. x+ 3 = 7
c. (x+ 2) (x- 2) = 0
d. = 16

Answers

If you would like to know which of the above equations could be solved by the division property of equality, you can find this using the following steps:

a. 5 * x = 30     /5
    x = 30 / 5
    x = 6
b. x + 3 = 7      /-3
    x = 7 - 3 = 4
c. (x + 2) * (x - 2) = 0
    1. x = -2
    2. x = 2
d. = 16

The correct result would be a. 5 * x = 30 can be solved by the division property of equality.

Answer:

Option a is correct that is 5x=30 will use division property of equality.

Step-by-step explanation:

We have been given four different equations we need to tell which one could be used to solve by division property:

In Option a:

x can will be solved by division property

5x=30

5 will divide 30 on right hand side by the transformation rule which is

when multiplication is shifted to the other side of the equation it will be in division on the other side.

x=6

Therefore, option a is correct.


Solve the equation. Check for extraneous solutions.

Answers

assume
if |a|=b
a=b and -a=b

so

9|9-8x|=2x+3
divide both sides by 9
|9-8x|=2/9x+1/3
assume
9-8x=2/9x+1/3 and
-9+8x=2/9x+1/3


9-8x=2/9x+1/3
times 9 both sides
81-72x=2x+3
add 72x both sides
81=74x+3
minus 3
78=74x
divide both sides by 74
39/37=x

other one
-9+8x=2/9x+1/3
multiply both sides by 9
-81+72x=2x+3
minus 2x both sides
-81+70x=3
add 81 to both sides
70x=84
divide boh sides by 70
x=6/5


x=39/37 and 6/5
check

9|9-8(39/37)|=2(39/37)+3
2646/37=189/37
false

9|9-8(6/5)|=2(6/5)+3
351/5=27/5
false

no soltion evidently, weird