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3 years ago

18 - 12y = -22 - 7y Can someone help

Mathematics

2 answers:

Ganezh [65]3 years ago

5 0

Answer:

Step-by-step explanation:

18 = -22 +5y

add 22 to both sides

40 = 5y

y = 8

Naddik [55]3 years ago

4 0

Answer:

y=8

Step-by-step explanation: Add 7y to both sides

18-12y+7y=-22

Then subtract 18 from both sides

-12y+7y=-22-18

Combine like terms

-5y=-40

Divide Both sides by -5

y=8

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The painting shown at the right has an area of 220. What is the value of x?

tangare [24]

Answer:

9.76

Step-by-step explanation:

area of a rectangle = length * breadth

length = (2x + 3)

breadth = x

given area is 220 sq. inches.

thus,

220 = x * (2x+3)

220 = 2x² +3x

2x² + 3x -220 = 0

x = (-b + √ ( b²-4ac) ) ÷ 2a

x = ( -3 + √ ( 3² - 4*2*220) ) ÷ 2*2

x =9.76

5 0

3 years ago

purchasing a movie combo pack of one popcorn and two drinks for 14 saves 4 compared to purchasing the items individually. if a d

forsale [732]

Answer:

A drink is 5 so two are 10...

And original cost-if saves 4 is 18

so 18-10=8

Popcorn is 8 dollars i think

5 0

3 years ago

Read 2 more answers

Suppose that the overall probability of living to age 70 is 0.62 and that the overall probability of living to age 80 is 0.23. I

velikii [3]

Given :

P( X = 70 ) = 0.62 .

P( X = 80 ) = 0.23 .

To Find :

We need to find If a person reaches their 70th birthday, what is the probability that they will live to age 80 .

Solution :

We need to find :

$P(X=70 | X=80 )$

We know ,

$P(x,y ) = \dfrac{P(x)}{P(y)}$

So ,

$P(X=70 | X=80 )=\dfrac{P(X=80)}{P(X=70)}\\\\=\dfrac{0.62}{0.23}=0.371$

Hence , this is the required solution .

8 0

3 years ago

Let F(x, y, z) = (5ex sin(y))i + (5ex cos(y))j + 7z2k. Evaluate the integral C F · ds, where c(t) = 8 t , t3, exp( t ) , 0 ≤ t ≤

maria [59]

I'm going to assume this reads

$\vec F(x,y,z)=5e^x\sin y\,\vec\imath+5e^x\cos y\,\vec\jmath+7z^2\,\vec k$

and the path $C$ is parameterized by

$\vec c(t)=8t\,\vec\imath+t^3\,\vec\jmath+e^t\,\vec k$

with $0\le t\le1$ . Under this parameterization,

$\vec F(x,y,z)=\vec F(x(t),y(t),z(t))=5e^{8t}\sin(t^3)\,\vec\imath+5e^{8t}\cos(t^3)\,\vec\jmath+7e^{2t}\,\vec k$

and

$\mathrm d\vec c=\dfrac{\mathrm d\vec c}{\mathrm dt}\,\mathrm dt=(8\,\vec\imath+3t^2\,\vec\jmath+e^t\,\vec k)\,\mathrm dt$

Then in the integral,

$\displaystyle\int_C\vec F\cdot\mathrm d\vec s=\int_0^1\vec F(x(t),y(t),z(t))\cdot\frac{\mathrm d\vec c}{\mathrm dt}\,\mathrm dt$

$=\displaystyle\int_0^1(7e^{3t}+15e^{8t}t^2\cos(t^3)+40e^{8t}\sin(t^3))\,\mathrm dt\approx\boxed{12586.5}$

(It's unlikely that an exact answer can be found in terms of elementary functions)

4 0

3 years ago

Trig: Solve Quadratic Equations by Factoring help with 3c and 3d

MissTica

Answer:

3c) x = 1/4, x = 6

3d) t = 0, t = 4

Step-by-step explanation:

3c).....................................

6x² - 15x + 2 = 2x² + 10x - 4
4x² -25x + 6 = 0
4x² - 24x - (x - 6) = 0
4x(x -6) - (x - 6) = 0
(4x - 1)(x - 6) =0
4x - 1 = 0 ⇒ 4x = 1 ⇒ x = 1/4
x - 6 = 0 ⇒ x = 6

==============================

3d).....................................

- 16t² + 76t + 5 = 12t + 5
-16t² + 64t = 0
t² - 4t = 0
t(t - 4) = 0
t = 0
t - 4 = 0 ⇒ t = 4

8 0

3 years ago