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2 years ago

two and a half times a number plus six is equal to three times the same number plus four and a quarter

Mathematics

1 answer:

Daniel [21]2 years ago

8 0

Answer:

2(1/2)x + 6 = 3x + 4(1/4)

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A rectangle has two side lengths of 8 inches and two side lengths of 10 inches. What is the perimeter of the rectangle?

Ronch [10]

The perimeter is 36
8+8=16
10+10=20
20+16=36

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3 years ago

Read 2 more answers

I need help with this please!!!

Andru [333]

Answer:

U = $\frac{TE}{3}$

Step-by-step explanation:

Given

T = $\frac{3U}{E}$

Multiply both sides by E to clear the fraction

TE = 3U ( divide both sides by 3 )

$\frac{TE}{3}$ = U

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3 years ago

Find endpoint with given endpoint and midpoint

TEA [102]

Answer:

(21, 17 )

Step-by-step explanation:

Using the midpoint formula and equating to the coordinates of the midpoint.

Let endpoint 2 have coordinates (x, y ), then

0.5(x - 3) = 9 ( multiply both sides by 2 )

x - 3 = 18 ( add 3 to both sides )

x = 21

and

0.5(y - 5) = 6 ( multiply both sides by 2 )

y - 5 = 12 ( add 5 to both sides )

y = 17

endpoint 2 = (21, 17 )

3 0

3 years ago

Use spherical coordinates. Find the volume of the solid that lies within the sphere x^2 + y^2 + z^2 = 81, above the xy-plane, an

Natasha_Volkova [10]

Answer:

The volume of the solid is 243 $\sqrt{2} \ \pi$

Step-by-step explanation:

From the information given:

BY applying sphere coordinates:

0 ≤ x² + y² + z² ≤ 81

0 ≤ ρ² ≤ 81

0 ≤ ρ ≤ 9

The intersection that takes place in the sphere and the cone is:

$x^2 +y^2 ( \sqrt{x^2 +y^2 })^2 = 81$

$2(x^2 + y^2) =81$

$x^2 +y^2 = \dfrac{81}{2}$

Thus; the region bounded is: 0 ≤ θ ≤ 2π

This implies that:

$z = \sqrt{x^2+y^2}$

ρcosФ = ρsinФ

tanФ = 1

Ф = π/4

Similarly; in the X-Y plane;

z = 0

ρcosФ = 0

cosФ = 0

Ф = π/2

So here; $\dfrac{\pi}{4} \leq \phi \le \dfrac{\pi}{2}$

Thus, volume: $V = \iiint_E \ d V = \int \limits^{\pi/2}_{\pi/4} \int \limits ^{2\pi}_{0} \int \limits^9_0 \rho ^2 \ sin \phi \ d\rho \ d \theta \ d \phi$

$V = \int \limits^{\pi/2}_{\pi/4} \ sin \phi \ d \phi \int \limits ^{2\pi}_{0} d \theta \int \limits^9_0 \rho ^2 d\rho$

$V = \bigg [-cos \phi \bigg]^{\pi/2}_{\pi/4} \bigg [\theta \bigg]^{2 \pi}_{0} \bigg [\dfrac{\rho^3}{3} \bigg ]^{9}_{0}$

$V = [ -0+ \dfrac{1}{\sqrt{2}}][2 \pi -0] [\dfrac{9^3}{3}- 0 ]$

V = 243 $\sqrt{2} \ \pi$

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3 years ago

What Is the best way to describe an inequality?

andrew11 [14]

Answer:

Social inequality is the existence of unequal opportunities and rewards for different social positions or statuses within a group or society. Let's examine some causes and effects of poverty and test our knowledge with a quiz.

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3 years ago

two and a half times a number plus six is equal to three times the same number plus four and a quarter​

two and a half times a number plus six is equal to three times the same number plus four and a quarter