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photoshop1234 [79]
3 years ago
15

There are two squares with integer side lengths a and b. The perimeter of the entire figure is 86 cm, and the sum of the areas o

f the two squares is 386 cm^2. In centimeters, what is the value of a+b?

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer:

24

Step-by-step explanation:

4a+2b= 86 cm

a²+b²= 386 cm²

a+b=?

----------

  • 4a+2b= 86  
  • 2a+b= 43
  • (2a+b)²=43²
  • 4a²+4ab+b²=1849

b²= 386- a², b= 43- 2a

  • 4a²+4a(43-2a)+386-a²-1849=0
  • 4a²+172a-8a²-a²-1463=0
  • -5a²+172a-1463=0
  • 5a²-172a+1463=0

solving quadratic equation we get

a=19 - integer solution

b= 43-2*19= 5

a+b=19+5=24

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The following dot plot shows the mass of each rock in Nija's rock collection. Each dot represents a different rock.
Aleksandr [31]

Answer:

To find the total mass you will add the following masses together:

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Step-by-step explanation:

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2 years ago
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Beth and joe won first place at the local talent show and shared the 50$ price equally they also gave some money to their friend
swat32
If they each kept the same amount of the $50 prize, then we divide $50 by 2 people, giving each of them $25 winnings.  Your question is then a little confusing because it could be answered in two ways.  Did they each keep $20.75 out of their $25 winnings, or did the two of them keep $20.75 in a combined total?  Please read your question again to see which might be the case.  I'm answering on the assumption that they each kept $20.75.


STEP 1:
divide total prize money by 2

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8 0
3 years ago
Solve each equation using inverse operations: 1. 9w = -54 2. b - 12 = 3 3. n/4 = -11
katovenus [111]

Hello!

Answer:

1. \boxed{W=-6}

*The answer must have A NEGATIVE SIGN ONLY!*

2. \boxed{B=15}

*The answer must have A POSITIVE SIGN ONLY!*

3. \boxed{N=-44}

*The answer must have a NEGATIVE SIGN ONLY!*

Step-by-step explanation:

1. 9w=-54

First, you divide by 9 both sides of an equation.

9w/9=-54/9

Simplify.

-54/9=-6

<u><em>W=-6 is the final answer.</em></u>

____________________________________

2. b-12=3

First you add by 12 both sides of an equation.

b-12+12=3+12

Add by the numbers from left/right.

3+12=15

<u><em>b=15 is the final answer.</em></u>

__________________________________________

3. n/4=-11

First you multiply by 4 both sides of an equation.

4n/4=4(-11)

Multiply by the numbers from left/right.

4*-11=-44

<u><em>n=-44 is the final answer.</em></u>

_____________________________

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2 years ago
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