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2 years ago

A(2x+3) = 9x+15+x. Solve for a

Mathematics

2 answers:

yarga [219]2 years ago

8 0

Step-by-step explanation:

$\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}$

$a(2x + 3) = 9x + 15 + x \\ a = \frac{5(2x + 3) }{2x + 3} \\ a = 5 \\$

Hoor it helps

zepelin [54]2 years ago

7 0

Answer:

a = 5

Step-by-step explanation:

a(2x + 3) = 9x + 15 + x

a(2x + 3) = 10x + 15

a(2x + 3) = 5(2x + 3)

a = 5(2x + 3)/(2x + 3)

a = 5

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after eating at the restaurant, jason, sandy, and sam decided to divide the bill evenly. if each person pid 34 dollars, what was

stealth61 [152]

Answer:

$102

Step-by-step explanation:

34x3=102

34+34+34=102

There are three people total, each paid 34. Add each person's total to the others, or multiply by three.

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3 years ago

HELP PLZ DUR 11;59 plz help me

Norma-Jean [14]

Answer:

Base = 10 cm

Height = 60 cm

Step-by-step explanation:

The formula for the area of a triangle is $area=\frac{1}{2} *b*h$ , where b is the length of the base of the triangle, and h is the length of the height of the triangle.

We know the area is 300, and since the height of the triangle is 6 times its base, we know that $h=6*b$ . We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:

$300=\frac{1}{2} *b*(6*b)$

$3b^2=300$

$b=\sqrt{100} =10$

The base of the triangle is 10 centimeters.

Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:

$300=\frac{1}{2} *10*h$

$5h=300$

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The height of the triangle is 60 centimeters.

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2 years ago

The dictionary is 3 inches thick. What is the volume of the dictionary

Yuki888 [10]

Answer:

Square shaped = 27 cubic inches , Rectangular shaped = 3LW cubic Inches

Step-by-step explanation:

If the dictionary is a square ( all sides are equal ) the the volume is

V = Length * Length * Length = $L^{3}$

V = 3 * 3 * 3 = 27 $inch^{3}$

while if its rectangular ( all side are not equal ) shaped

V = Length * Width * Height (thickness)

V = L * W * 3 = 3LW $inch^{3}$

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2 years ago

If on a scale drawing 24 inches equals 10 ft. what does 1/8 inches equal

OLga [1]

Answer:

$\large\boxed{\large\boxed{(5/96)ft\approx 0.052ft}}$

Explanation:

1. Use the scale ratio to set a proportion with the unknown lenght.

$24inches/10ft=(1/8)inches/x$

2. To solve for x, use cross multiplication:

$24inches\times x=10ft\times(1/8)inches$

3. Divide both sides by 24inches:

$x=10ft\times(1/8)inches\times (1/24inches)$

4. Simplify:

$x=10ft/192=(5/96)ft\approx 0.052ft$

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3 years ago

Use polar coordinates to find the volume of the given solid. Inside both the cylinder x2 y2 = 1 and the ellipsoid 4x2 4y2 z2 = 6

Anton [14]

The Volume of the given solid using polar coordinate is: $\frac{-1}{6} \int\limits^{2\pi}_ {0} [(60) ^{3/2} \; -(64) ^{3/2} ] d\theta$

V= $\frac{-1}{6} \int\limits^{2\pi}_ {0} [(60) ^{3/2} \; -(64) ^{3/2} ] d\theta$

<h3>What is Volume of Solid in polar coordinates?</h3>

To find the volume in polar coordinates bounded above by a surface z=f(r,θ) over a region on the xy-plane, use a double integral in polar coordinates.

Consider the cylinder, $x^{2}+y^{2} =1$ and the ellipsoid, $4x^{2}+ 4y^{2} + z^{2} =64$