The rectangle has a perimeter P of 58 inches.The length l is one more than 3 times the width w.write and solve a system of linear equations to find the length and width of the rectangle?

Answer:

Length(L)=22 inches

Width(W) = 7 inches

Step-by-step explanation:

GIven:-

Perimeter (p)=58 inches,

Length(L)= one more than 3 times the width(W)

Let, W=x ---------------------------------(equation 1

$L=3x+1$ -----------------------(equation 2)

Here x is unknown and to find the Width(W) we have to find the value of x.

Now,

Perimeter of rectangle(p) = 2 times length(L) + 2 times width(W)

$p=2L+2W$

$p=2(3x+1)+2x$ ----------------(from equation 1)

$58=6x+2+2x$ ----------------(given p=58 inches)

$58=8x+2$

$8x=58-2$

$8x=56$

$x=\frac{56}{8}$

$x=7$ ----------------------(equation 3)

Now substituting the value of equation 3 in equation 2.

$L=3x+1$

$L=(3\times 7)+1$

$L=21+1$

$L=22$

$L=22 inches$

as, $W=x$ -----------------------(from equation 1)

$W=7$ inches -------------------(equation 3)

Therefore, Length(L) = 22 inches and Width(W) = 7 inches.

7 0

3 years ago

What are the AGI and taxable income?

andreev551 [17]

Answer:

1. Find the AGI and taxable income: Gross Income $30,856 Adjustments $750 1 Exemption $8200 Deduction $2,300

AGI: $31,200 and $20,601 $30106 --- ANSWER: 30,106 (30,856-750)

Taxable Income: $19,606 $29,586 and $18,505 $28,863 and $17,636 1 points--- ANSWER 19,606

2. QUESTION 5 Find the AGI and taxable income. Gross Income $67,890

Adjustments $0 3 Exemptions $24,600 Deduction $1469

AGI: $69,440 and $45,300 $68,990 and $42,831 $67,890 --- ANSWER:

67,890

Taxable Income: $41,821 $65,551 and $44,821 1 points --- ANSWER: 41,821 (67,890-24,600-1,469)

3. QUESTION 6 Find the AGI and taxable income. Gross income $19,723 Adjustments $255 1 Exemption $8200 Deduction $1430 $19,4

AGI: 19,468 (19,723-255)

Taxable Income: 9,838 (19,468-8,200-1,430)

Step-by-step explanation:

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3 0

2 years ago

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