Explain how place value could be used to find the difference between 4.23 into 2.75

1. If a - b = 4 and a + b = 12, what is the value of a?

Nezavi [6.7K]

I think this is what you are looking for:

=−12

a

b

=

−

12

+=4

a

+

b

=

4

(+)2=42

(

a

+

b

)

2

=

4

2

2+2+2=16

a

2

+

b

2

+

2

a

b

=

16

∴2+2=16+2×12=40

∴

a

2

+

b

2

=

16

+

2

×

12

=

40

Now, (−)2=2+2−2=40+2×12=64

(

a

−

b

)

2

=

a

2

+

b

2

−

2

a

b

=

40

+

2

×

12

=

64

∴(−)=64‾‾‾√=±8

∴

(

a

−

b

)

=

64

=

±

8

So, 2−2=(+)(−)

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

2−2=(4)(±8)=±32

a

2

−

b

2

=

(

4

)

(

±

8

)

=

±

32

Hope that helps and sorry if it is confusing!

4 0

2 years ago

Read 2 more answers

Zamira and Courtney share a 16 oz box of cereal. By the end of the week, Zamira has eaten 38 of the box, and Courtney has eaten

12345 [234]

Answer:

12/25 ths of the box is left.

Step-by-step explanation:

I'm assuming you mean 14% and 38%

If so then the first thing you'd do is put 38 and fourteen over 100 such as:

38/100 and 14/100. You do that because since its a percentage, its the same as the number of that percentage over 100.

Since you now have like terms, you can add them together, in which you add the two numerators (top row), but leaving the denominator (bottom row) the same, and it would give you:

52/100

What you want to do after that is simplify it. Once you simplify it, the simplified version of this is technically still the same as the non-simplified version, just easier to use.

Once you simplify it once, you will get:

26/50 and then if you simplify it again, you'll get 13/25

KEEP IN MIND that this is the amount that HAS BEEN EATEN ALREADY.

After that, you wan to subtract your part from your whole meaning you'd subtract: 25/25 - 13/25

Going back to earlier, you subtract the numerator and leave the denominator the same ONLY because they have like terms(The DENOMINATORS match)

After subtracting, you will get an answer of 12/25ths, which cannot be further simplified either.

Hope this helped!

4 0

2 years ago

Cody's Gym charges a $15 fee to join and $30 per month. Tyler's Gym charges a $30 fee to join and $20 per month. Write an inequa

posledela

Answer:

After (3/2) months Tyler's gym would be a better deal.

Step-by-step explanation:

Let x the number of months

Cody's Gym charges a $15 fee to join and $30 per month

y₁= 15 + 30x (1)

Tyler's Gym charges a $30 fee to join and $20 per month

y₂ = 15 + 30x (2)

See the attached figure which represent the graph of y₁ (with blue color) and y₂ (with red color)

The point of intersection between y₁ and y₂ is ( 3/2 , 60)

After 3/2 months Tyler's Gym charges will be less than Cody's Gym charges

So, the inequality will be:

After (3/2) months Tyler's gym would be a better deal.

3 0

2 years ago

It's a math question please help!

Phoenix [80]

Answer:

Ok

Step-by-step explanation:

I will help you or maybe

4 0

2 years ago

What inequality describes the solutions of 2y less than or equal to 8?

Tanzania [10]

Answer:

$y\leq 4$

Step-by-step explanation:

Start with the given

$2y\leq 8\\$

Divide the two on both sides to get

$y\leq 4$

8 0

2 years ago

Read 2 more answers