On a tuesday a magician said i made my wife disappear 31 days ago what day of the week did he make her disappear

Answer:

x = 7.75       y = -0.125

Step-by-step explanation:

3x + 2y = 23                         1/2x - y = 4

2(1/2x - y) = (4)2                   1x - 2y = 8

    3x + 2y = 23

+   1x - 2y = 8

4x = 31

x = 7.75

3(7.75) + 2y = 23

23.25 + 2y = 23

2y = -0.25

y = -0.125

Answer:

let the sides be 25x,12x and 5x ......then

25x+12x+5x=540

45x=540

x=25

sides are 25×12=300

12×12=144

5×12=60

we can find area by herons formula

Answer:

552

Step-by-step explanation:

I'm almost certain this is correct. Only one step is rounded.

Answer:  942 - 225*sqrt(3)

This is roughly equivalent to 552.29

The unit for the area is in square cm, or cm^2.

The two area values above are based on pi = 3.14, so they are approximations.

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

Explanation:

The radius of the circle is r = 30 because OA = 30.

The full circle has area A = pi*r^2 = 3.14*30^2 = 2826 cm^2 approximately

However, we only want 120/360 = 1/3 of this full area to get the area of the pizza slice. So the area of the pizza slice is approximately (1/3)*2826 = 942 cm^2

This is not the final answer, but helps get us there.

What we just calculated was the approximate area of the entire figure: the yellow area plus the white triangle.

If we can find the area of the white triangle, and subtract it off, then we'll find just the area of the yellow region only.

-----------------------

The SAS (side angle side) area formula for a triangle is

Area = 0.5*p*q*sin(R)

where p,q are the sides and angle R is between those sides.

Here we have p = q = 30, which are sides OA and OB, and we have R = 120 degrees as the central angle.

So the area of triangle AOB is...

Area = 0.5*p*q*sin(R)

Area = 0.5*30*30*sin(120)

Area = 450*sqrt(3)/2

Area = 225*sqrt(3)

This value is exact.

-----------------------

The area of the yellow region is therefore

(area of full figure) - (area of triangle)

(942) - (225*sqrt(3))

942 - 225*sqrt(3)

This is approximate because we used pi = 3.14 as an approximation earlier.

You could then use your calculator to say

942 - 225*sqrt(3) = 552.288568

This rounds to 552.29

Answer:

90

Step-by-step explanation:

To solve this problem we need to set up an expression

35x+20

35 is the cost per hour, and 20 dollars is the visit fee.

x is the amount of hours the CT can work

So if we plug in the amount for the number of hours from the problem we get

35(2)+20

Which becomes 70+20 which is 90.

Hope thsi helps!

The computer technician works for 2 hours will take total charges equal to $90 .

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7

According to the question

The computer technician charges $20 per visit plus $35 per hour.

i.e

Let hours he work = x

therefore,

Total charge of computer technician in equation = 20 +  35x  

Now,

As the computer technician works for 2 hours the cost will be

By using equation

Total charge of computer technician in dollars  = 20 + 35x  

where x = 2

so,

= 20 +  35*2  

= $90  

Hence, the computer technician works for 2 hours will take total charges equal to $90 .  

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Answer:

this is this because of PTI

Step-by-step explanation:

pto explain it to me on Monday and Friday Saturday morning

Answer:

[tex]2x^2+5x[/tex]

[tex]=2xx+5x[/tex]

[tex]=x\left(2x+5\right)[/tex]

Hope it helps u

Answer:

110.5 cubic inches

Step-by-step explanation:

Base is parallelogram, so area is

A = 4.7×5 = 23.5

Height(h) is 4.7, so volume is,

V = A×h

= 23.5×4.7

= 110.45 ≈ 110.5

Answered by GAUTHMATH

Answer:

B. 7y - 15

Step-by-step explanation:

Simplifying

10y + -3(y + 5) = 0

Reorder the terms:

10y + -3(5 + y) = 0

10y + (5 * -3 + y * -3) = 0

10y + (-15 + -3y) = 0

Reorder the terms:

-15 + 10y + -3y = 0

Combine like terms: 10y + -3y = 7y

-15 + 7y = 0

Solving

-15 + 7y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 7y = 0 + 15

Combine like terms: -15 + 15 = 0

0 + 7y = 0 + 15

7y = 0 + 15

Combine like terms: 0 + 15 = 15

7y = 15

Divide each side by '7'.

y = 2.142857143

Simplifying

y = 2.142857143

Answer:

b. 7y-15

Step-by-step explanation:

First, write out the expression

1. [tex]10y-3(y+5)[/tex]

To simplify the expression distribute the -3 to the terms within the paratheses.

2. [tex]10y-3y-15[/tex]

Then, combine like terms to simplify further. Since 10y and -3y are like terms they can be subtracted

3. [tex]7y-15[/tex]

This means that B is the correct answer.

Answer: [tex]a=\sqrt{60}[/tex]

Step-by-step explanation:

To solve for a, we want to use Pythagorean Theorem as provided int eh problem. a and 2 are the legs while 8 is the hypotenuse.

[tex]a^2+2^2=8^2[/tex]           [exponent]

[tex]a^2+4=64[/tex]            [subtract both sides by 4]

[tex]a^2=60[/tex]                  [square root both sides]

[tex]a=\sqrt{60}[/tex]

Now we know that [tex]a=\sqrt{60}[/tex].

Answer:

160= 2W + 2L ; W = L –16

2W+2L=160 ] ÷2

W+L= 80

W=L–16

____o____o___

L-60+L= 80 —> 2L= 96

L=48

W=L–16 —> w= 48-16 =32

W=32 ; L=48

I hope I helped you^_^

Answer:

x = 0

Step-by-step explanation:

-2(2 − 2x) = 4 − 8(1 − x)

Apply the distributive property:

−2(2 − 2x) = 4 − 8(1 − x)

(−2)(2) + (−2)(−2x) = 4 + (−8)(1) + (−8)(−x)

−4 + 4x = 4 + (−8) + 8x

Combine like terms:

4x − 4 = (8x) + (4+−8)

4x − 4 = 8x + (−4)

4x − 4 = 8x − 4

Subtract 8x from both sides:

4x − 4 − 8x = 8x − 4 − 8x

−4x − 4 = −4

Add 4 to both sides:

−4x − 4 + 4= −4 + 4

−4x = 0

Divide both sides by -4:

-4x/-4 = 0/-4

x = 0

Answer: 0

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

1 ÷ 4 = 0.25

0.25 x 100 = 25 = 25%

Answer:

C.

Step-by-step explanation:

212/4 = 53, so 53/1, or 53 miles are driven every hour.

Answer:

The required sum is 392

Step-by-step explanation:

Given the sum as shown;

[tex]\sum \left \77} \atop {a=1}} \right. (3a^2-4)[/tex]

When n = 1

f(1) = 3(1)²-4

f(1) = 3 - 4

f(1) = - 1

When n = 2

f(2) = 3(2)²-4

f(2) = 12 - 4

f(2) = 8

When n = 3

f(3) = 3(3)²-4

f(3) = 27 - 4

f(3) = 23

When n = 4

f(4) = 3(4)²-4

f(4) = 48 - 4

f(4) = 44

When n = 5

f(5) = 3(5)²-4

f(5) = 75 - 4

f(5) = 71

When n = 6

f(6) = 3(6)²-4

f(6) = 108 - 4

f(6) = 104

When n = 7

f(7) = 3(7)²-4

f(7) = 147 - 4

f(7) = 143

Taking their sum

Sum = f(1)+f(2)+(3)+f(4)+f(5)+f(6)+f(7)

Sum = -1 + 8 + 23 + 44 + 71 + 104 + 143

Sum = 392

Hence the required sum is 392

Answer:

p = 212

Step-by-step explanation:

p-83=129

Add 83 to each side

p-83+83=129+83

p =212

Answer:=212

Step-by-step explanation:

add 83 to both sides and then simplify

−83=129

p-83=129

p−83=129

−83+83=129+83

Answer:

160π in²

Step-by-step explanation:

The formula for the surface area of a cylinder is: A = 2πrh + 2πr²

From here we can plug in what we know (r = 4, h = 16):

A = 2π(4)(16) + 2π(4²)

A = 128π + 32π

A = 160π in²

The surface area of a cylinder is 160π in².

The surface area of a cylinder is also called the total surface area of the cylinder.

Suppose that:

Radius of the considered cylinder = 'r' units

Height of the considered cylinder = 'h' units

The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

From here we can plug in what we know that,

(r = 4, h = 16):

A = 2π(4)(16) + 2π(4²)

A = 128π + 32π

A = 160π in²

Hence, the surface area of a cylinder is 160π in².

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Answer:

Oxygen; 34.01°C

Step-by-step explanation:

The oxygen freezes first as it has a higher (warmer) freezing point. For both to freeze, the temperature must drop a further 34.01°C as:

-218.79 - (-252.8)

= 252.8 - 218.79

= 34.01

Answer:

D

Step-by-step explanation:

The quotient of n and 8 is [tex]\frac{n}{8}[/tex] and 13 more than this is

[tex]\frac{n}{8}[/tex] + 13 → D

Answer:

900°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 7 , then

sum = 180° × 5 = 900°

Answer:

c

Step-by-step explanation:

come on ! you can literally see that in the chart.

how many parts of the gray 3/8 are covered by the gray 1/4 ?

2 parts = 2/8 are clearly covered by 1/4.

2/8 is what part of 3/8 ?

it is the same question as "2 is what part of 3" ?

is 2 a quarter (1/4) of 3 ? no, 1/4×3 = 3/4 and not 2.

is 2 one third (1/3) of 3 ? no, 1/3 of 3 = 1/3×3 = 1 and not 2.

is 2 two thirds (2/3) of 3 ? ah, 2/3 × 3 = 2. that is correct !

is 2 three quarters (3/4) of 3 ? no, 3/4×3 = 9/4 and not 2.

once you have the same denominator, you can easily compare the numerators and ignore the denominators for such problems.

Answer:100

Step-by-step explanation:

Given

Last year 160 new candidates submitted to work for agency

It is expected to increase by 25% that is , increase in one year should be

[tex]\Rightarrow 160+160\times 25\%\\\Rightarrow 160(1+0.25)\\\Rightarrow 160\times 1.25\\\Rightarrow 200[/tex]

200 application in the upcoming year. So, in 6 months, agency must have accepted 100 applications.

Answer:

look at the explanation

Step-by-step explanation:

Write an equation:

Trash a way : $25 + 0.25x

Garbage No More : $45 per month

so to make them equal we need to have enough trash in Trash A Way that it equals $45

25  + 0.25x =45

0.25x = 20

x = 80

So, you need to have 80 pounds of trash to make them equal

hope this helps!

please vote and heart!

Answer: c

Step-by-step explanation:

c is the same and it is the correct answer

Answer: 24(option A) is the answer

exterior angle = 360/n

so, n = 15

then, 360/15 = 24

The transformation of a function may involve any change. The function, g(x) that represents function f(x) moved 4 units downwards is g(x)=7x-1.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift:

Stretching:

Given the function f(x)=7x+3, now, if the function is moved down by d units, then the function can be transformed down wards by 4 units as shown below.

g(x) = f(x) moved down by 4 units

g(x) = f(x) - 4

g(x) = 7x + 3 - 4

g(x) = 7x - 1

Hence, the function, g(x) that represents function f(x) moved 4 units downwards is g(x)=7x-1.

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Answer:

0

Step-by-step explanation:

We can write the equation in a simpler form so it doesn't look like a mess of numbers:

[tex]7+\frac{3\sqrt{5}}{3}+\sqrt{5} -7 -\frac{3\sqrt{5}}{3}-\sqrt{5}[/tex]

Because we are just adding three terms together and then subtracting those exact terms, we have the answer as 0.

Answer:

x^2-3x

pls mark me brainliest

Step-by-step explanation:

4x(x+2)-x(3x+5)

4x^2+8x-3x^2-5x

x^2-3x

Answer:

Step-by-step explanation:

This is a parabola with a vertex at h = 4 and k = 5; the graph goes through the coordinate x = 6 and y = 6. We will use those 4 values to fill in the equation:

[tex]y=a(x-h)^2+k[/tex] and this will allow us to solve for the value of a:

[tex]6=a(6-4)^2+5[/tex] and

[tex]6=a(2)^2+5[/tex] and

6 = 4a + 5 and

1 = 4a so

[tex]a=\frac{1}{4}[/tex] and the equation is

[tex]y=\frac{1}{4}(x-4)^2+5[/tex]