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SVEN [57.7K]
3 years ago
7

What is the length of a rectangular table that is 18 sq ft and the width is 3 feet

Mathematics
2 answers:
Afina-wow [57]3 years ago
5 0
The length would be 6 feet because if width is 3ft and the total is 18 sq feet, Divide 18 and 3 to get 6
notka56 [123]3 years ago
4 0
I'm assuming 18 sq ft is the area, divide that by the width to get 9 feet. (Length x Width = area)
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I need help with an algebra assignment right away!
Georgia [21]

So remember that slope-intercept form is y = mx+b (m = slope, b = y-intercept) and standard form is ax+by = c. (a and b are coefficients and c is the constant)

Starting with the first question: 9x + 2y = 6

Firstly, subtract 9x on both sides: 2y = -9x + 6

Next, divide both sides by 2, and your equation will be y = -4.5x + 3

Now with the next equation: y - 3 = 4(x + 1)

Firstly, foil 4(x + 1): y - 3 = 4x + 4

Next, subtract y on both sides: -3 = 4x - y + 4

Next, subtract 4 on both sides, and your answer will be: -7 = 4x - y

Next equation: y + 7 = -2(x - 3)

Firstly, foil -2(x - 3): y + 7 = -2x + 6

Next, subtract 7 on both sides of the equation, and your answer will be: y = -2x - 1

Next: y - 5 = 3(x - 2) (part a)

Firstly, foil 3(x - 2): y - 5 = 3x - 6

Next, add 5 on both sides, and your equation is: y = 3x - 1

Next, y - 5 = 3(x - 2) (part b)

Firstly, foil 3(x - 2): y - 5 = 3x - 6

Next, subtract y on both sides of the equations: -5 = 3x - y - 6

Next, add 6 on both sides of the equation, and your answer will be: 1 = 3x - y

4 0
3 years ago
A family spent a total of $1946 on fast food this year. If this family decreases the amount it spends on fast food by 3% every y
prohojiy [21]
1946 times 3/100=58.38
58.38 times 5 =291.9

1946-291.9=165.41
165.41 is the answer. Please mark brainliest.
8 0
3 years ago
M is a degree 3 polynomial with m ( 0 ) = 53.12 and zeros − 4 and 4 i . Find an equation for m with only real coefficients (i.E.
Nitella [24]

Answer:

Therefore the required polynomial is

M(x)=0.83(x³+4x²+16x+64)

Step-by-step explanation:

Given that M is a polynomial of degree 3.

So, it has three zeros.

Let the polynomial be

M(x) =a(x-p)(x-q)(x-r)

The two zeros of the polynomial are -4 and 4i.

Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.

Then,

M(x)= a{x-(-4)}(x-4i){x-(-4i)}

      =a(x+4)(x-4i)(x+4i)

      =a(x+4){x²-(4i)²}      [ applying the formula (a+b)(a-b)=a²-b²]

      =a(x+4)(x²-16i²)

      =a(x+4)(x²+16)      [∵i² = -1]

      =a(x³+4x²+16x+64)

Again given that M(0)= 53.12 . Putting x=0 in the polynomial

53.12 =a(0+4.0+16.0+64)

\Rightarrow a = \frac{53.12}{64}

      =0.83

Therefore the required polynomial is

M(x)=0.83(x³+4x²+16x+64)

5 0
3 years ago
In 2003, the annual sales at a company are $372,000. If sales are increasing at a rate
Otrada [13]

Answer:

20 years

Step-by-step explanation:

We start by writing an exponential equation;

FV = PV( 1 + r)^t

FV is the future value = 1,000,000

PV is present value = 372,000

r is rate = 5% = 5/100 = 0.05

t is time which we are looking for

1,000,000 = 372,000(1 + 0.05)^t

1.05^t = 1,000,000/372,000

1.05^t = 2.688

t ln 1.05 = ln 2.688

t = ln 2.688/ln 1.05

t = 20 years

3 0
3 years ago
The radius of a right circular cone is increasing at a rate of 4 inches per second and its height is decreasing at a rate of 5 i
solmaris [256]

Answer:

V' = 900\pi in^{3} /sec

Step-by-step explanation:

V = \frac{1}{3} \pi r^{2}h

V' = \frac{2\pi rh *r'}{3}  + \frac{\pi r^{2} *h'}{3} (using differentiation product rule)

plug known values in for r, h, r', and h'

V' = \frac{2\pi (10)(40)(4)}{3} + \frac{\pi (10^{2} )(-5)}{3}

V' = \frac{3200\pi }{3} - \frac{500\pi }{3} \\V' = \frac{2700\pi }{3} \\

V' = 900\pi in^{3} /sec

3 0
3 years ago
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