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uysha [10]
3 years ago
13

Two possible plans for a new bathroom are shown. Is there a value of x for which the perimeters are equal? Show your work. Expla

in the reasoning.

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
6 0

Answer:

(x+3)•4=(x+4)•2+(x+1)•2

Step-by-step explanation:

4x+12=2x+8+2x+2

4x-2x-2x=-12+8+2

0=-2

this expression is indeterminate.

Dominik [7]3 years ago
3 0

Answer:

There is no value of x to fit this requirement.

Step-by-step explanation:

The 2 perimeters in terms of x are:

4(x + 3) for the square and

2(x+1) + 2(x +4)  for the rectangle

and these need to be equal so

we equate these 2 and solve for x:

4(x + 3) = 2(x+1) + 2(x +4)

4x + 12 = 2x + 2 + 2x + 8

4x + 12 = 4x + 10

4x -  4x = 10 - 12

0 = -2   which is of course absurd so there is no solution to this equation.

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what is the mistake in this problem and why is it wrong? 15+(√9•7)÷13 = 15+(3•7)÷3 = 15+(21)÷3 = 36+3 =12
Serggg [28]

[Edit:}

Okay! So after you have 15+(21)÷3, you have to remember PEMDAS.

PEMDAS is the order in which you solve equations.

1. Parentheses: you solve everything in the parentheses first, all while following the rules of PEMDAS

2. Exponents: after you solve the things in the parentheses, you do the exponents.

3. Then you do Multiplication or Division, solving in the order from left to right.

4. After, you do Addition or Subtraction, solving in the order from left to right.

So using PEMDAS, we'll solve 15+(21)÷3.

We do division before addition, so 21/3 is 7.

Then you add 15 to 7 and get 22 as your final answer.

Hope this helps!

7 0
3 years ago
You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or pay down your
pochemuha
 <span>B(n) = A(1 + i)^n - (P/i)[(1 + i)^n - 1] 

where B is the balance after n payments are made, i is the monthly interest rate, P is the monthly payment and A is the initial amount of loan. 

We require B(n) = 0...i.e. balance of 0 after n months. 

so, 0 = A(1 + i)^n - (P/i)[(1 + i)^n - 1] 

Then, with some algebraic juggling we get: 

n = -[log(1 - (Ai/P)]/log(1 + i) 

Now, payment is at the beginning of the month, so A = $754.43 - $150 => $604.43 

Also, i = (13.6/100)/12 => 0.136/12 per month 

i.e. n = -[log(1 - (604.43)(0.136/12)/150)]/log(1 + 0.136/12) 

so, n = 4.15 months...i.e. 4 payments + remainder 

b) Now we have A = $754.43 - $300 = $454.43 so, 

n = -[log(1 - (454.43)(0.136/12)/300)]/log(1 + 0.136/12) 

so, n = 1.54 months...i.e. 1 payment + remainder 
</span>
8 0
3 years ago
3x+2y=4 <br> 4x+5y=17<br> What is the value of x and y?
Fudgin [204]
{3x+2y=4    /*5
{4x+5y=17    /*(-2)

{15x+10y=20
<u>{-8x-10y=-34        </u>(+)
<em>7x=-14</em><em />
<em>x=-2</em>

15x+10y=20
15*(-2)+10y=20
-30+10y=20
10y=50
<em>y=5</em>

5 0
3 years ago
Read 2 more answers
What is the answer to the math problem 18 minus 4x = negative 2?
pentagon [3]
The answer to this equation is 5.
3 0
3 years ago
Sara has 7 cups how many does she have left over after drinking 8 cups
Lady bird [3.3K]

Answer:

-1

Step-by-step explanation:

because I said so

that's why

7 0
3 years ago
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