Solve for x. Show your work.

Answer:

The base salary was £21,500.

Step-by-step explanation:

Giving the following information:

Increase rate (g)= 12%

New salary= £24,080

To calculate the base salary, we need to use the following formula:

Base salary= new salary / (1 + increase rate)

Base salary= 24,080 / (1.12)

Base salary= £21,500

The base salary was £21,500.

81.469 correct to one Decimal place is 81.5

Answer:

1/3

Step-by-step explanation:

3 is a multiple of 3 itself so that's 1. 6 is also a multiple of 3 so that's 2 out of 6 in other terms 2/6. 2/6 simplified is 1/3 so he also has 1/3 of a chance of rolling a digit that is a multiple of 3.

Answer:

4 Lawns

Step-by-step explanation:

Tim need to mow four lawns.

145 - 65 = 80

80 / 20 = 4

Answer:

Rounded to the nearest ten, 5760

Rounded to the nearest tenth, 5764.4

Rounded to the nearest hundred, 5800

Rounded to the nearest hundredths, 5764.36

Step-by-step explanation:

Answer:

m<1 = 136

m<4 = 44

Step-by-step explanation:

Exterior angle thm:

<2 + <3 = <4

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

9x - 1 = 8x + 4

9x - 8x = 4 + 1

x = 5

m<4:

8x + 4

8(5) + 4

40 + 4

44

m<1 and m<4 are supplementary (they add up to 180) so:

m<1 + m<4 = 180

m<1 + 44 = 180

m<1 = 136

Answer:

3075

Step-by-step explanation:

There is 3 thousands so 3,000 no hundreds so 0 then 7 tens,70, then 5 one,5, so 3075

Answer:

3,075

Step-by-step explanation:

3 thousands = 3,000

0 hundreds = 0

7 tens = 70

5 ones = 5

Answer:

63.7 I believe to be the answer

The required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.

A figure is shown, in which a square is inscribed in a circle. To find the probability that a randomly selected point within the circle falls in the red shaded area (Square).
radius  = 4 cm
side of square = 4√2 cm

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Area of the circle = πr²
                              = 3.14 * 4²
                              = 50.24 cm²
Area of the square = side * side
                                =  4√2 * 4√2
                                = 32 cm²

Now the probability that a randomly selected point within the circle falls in the red shaded area (Square).
= Area of square / Area of the circle
= 32 / 50.24
= 0.636 or 63.6%

Thus, the required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

total no of children = 250

let no.of boys be = 3x

let no.of girls be = 2x

equation = 3x+2x= 250

              = 5x= 250

             = x= 250\5

             = x= 50

so, no,of boys = 3x = 3x50 = 150

and no,of boys = 2x = 2x50 = 100

heres ur ans ,

hope it does help u !

if so plz mrk the brainliestt !!!!!

Answer:

0.2754

Step-by-step explanation:

Probability of saving a penalty kick = 0.617

p = 0.617 ; q = 1 - p = 1 - 0.617 = 0.383

number of trials, n = 7

Number of saves, x = 5

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 5) = 7C5 * 0.617^5 * 0.383^2

P(x = 5) = 21 * 0.0894181 * 0.146689

P(x = 5) = 0.2754

Answer: b. 60 movies

Step-by-step explanation:

60 * $5= $300

$300+$120= $420

$420/60= $7

Answer:

The possible solutions are 58 degree, 122 degrees, 302 degrees and 238 degrees

Step-by-step explanation:

Please see the attachment

From the figure, it is evident that

cos AOB = OB/OA = 53/100 = 0.53

Thus, cos-1 (0.53) = 58 degrees

AOB = 58 degree

Also, there are can be other values depending on the quadrants

COB = 180 -58 = 122 degrees

FOB = 360 -58 = 302 degrees

EOB = 180 + 58 = 238 degrees

Answer:

The appropriate null hypothesis is [tex]H_0: \mu = 1250[/tex]

The appropriate alternate hypothesis is [tex]H_a: \mu < 1250[/tex]

Step-by-step explanation:

At the null hypothesis, we test if the mean area is the advertised area of 1250 square feet, that is:

[tex]H_0: \mu = 1250[/tex]

A tenant group thinks that the apartments are smaller than advertised.

Smaller, thus, at the alternate hypothesis, we test if the mean area is less than the advertised area of 1250 square feet, that is:

[tex]H_a: \mu < 1250[/tex]

Answer:

C 70

Step-by-step explanation:

since 2 sides are parallel to each other, so is then the third side, and their these are similar triangles. that means all angles of one triangle are the same in the other.

remember, the sum of all angles in a triangle is always 180 degrees.

so, we know 2 angles. one is 90 degrees, x is 20 degrees, therefore

y = 180 - 90 - 20 = 70

Answer:

B

Step-by-step explanation:

Answer:

BDA

Step-by-step explanation:

Answer:

A). BDA

im doing the test rn

Step-by-step explanation:

Answer:

7&2 = 49

49 x 3.14 x 2(there are two circles) = 307.72

Now we find the lateral surface area, we need to find circumference first:

2 x 3.14 x 7 = 43.96

Now we need to multiply by the height:

43.96 x 11 = 483.56

Now lets add our areas:

483.56 + 307.72 = 791.28 m^2 is your answer.

Answer:

Step-by-step explanation:

tanx + cotx = secx / sinx

take left hand side

=tanx + cotx

=sinx/cosx + cosx/sinx

=sinx*sinx+cosx*cosx/sinx*cosx

=sin^2x + cos^2x/sinx*cosx

=1/sinx*cosx

=1/cosx * 1/sinx

=secx/sinx

at second last step i changed multiplication sign into divide sign and write the reciprocal of 1/sinx which is sinx.

Respuesta:

Modo = 2, 3, 4

Mediana = 3

Media = 3

Explicación paso a paso:

Dados los datos:

3,4,5,2,1,4,5,3,2,1,0,2,3,4,6

Datos pedidos: 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6

La media = ΣX / n = 45/15 = 3

Donde n = tamaño de la muestra = 15

Mediana = 1/2 * (n + 1) th término

Mediana = 1/2 (16) término

Mediana = octavo término

Mediana = 3

Modo = 2, 3, 4 (el más alto ocurre con una frecuencia de 3 cada uno)

Answer:

The surface area of the prism is 276 in.²

If you are also looking for the volume of the prism, it is 280.

Step-by-step explanation:

It's hard to find the surface area and the volume of the prism if you're just looking at the net of the 3D shape. There are some unnecessary measurements that will definitely throw you off. I drew a sample prism so it's easier to solve. Check the linked image.

The formula in finding the surface area of a prism is SA = 2(wl + hl + hw), where w is for width, l is for length, and h is for height. The point of all of these calculations is to find the area of 3 different faces of the prism and then you add up all of the areas and multiply the sum by 2 to give you the surface area. Looks a lot but it's worth getting the answer right.

The formula in finding the volume of the prism is V = w * h * l, where w is for width, h is for height, and l is for length. Simple multiplication of 3 different sides and you'll get the volume. I hope this helps and if I am wrong please let me know! :D

Answers:

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

Explanation:

It might help to draw this out on paper, cut the figure out, and fold along the lines to form a 3D box.

Check out the diagram below. In steps 1 through 4, we go from a flat 2D net to a 3D box. Steps 2 and 3 basically are just intermediate steps to show the folding process. If this was done with an animation, it might look better (you'll have to use your imagination a bit).

The letters A through F in red should help us see how the flat 2D figure connects to the 3D one. For me, it helps to picture a room. The floor is face B, the ceiling is E, and so on.

Anyways, once we get the 3D box, it has the following dimensions:

The order of length, width and height doesn't matter.

Once we know these values, we can plug them into the formulas below

where SA and V are the surface area and volume respectively.

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

So,

SA = 2(LW+LH+WH)

SA = 2(10*7 + 10*4 + 7*4)

SA = 2*(70+40+28)

SA = 2*138

SA = 276 square inches is the surface area

and,

V = L*W*H

V = 10*7*4

V = 280 cubic inches is the volume

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

As an alternative way to get the surface area, you can compute the areas of rectangles A through F, and then add up those areas to get the overall surface area.

It's a bit interesting how the surface area and volume are almost nearly the same number. Though that could be a coincidence.

Answer:

The original price was of $560, while the sales price was of 560 - 224 = $336.

Step-by-step explanation:

Original price:

x

Sales price:

224 less than the sales price, that is:

x - 224.

On sale fo 40% of the original price:

So the sales price is 100 - 40 = 60% = 0.6 of the original price. That means that:

[tex]x - 224 = 0.6x[/tex]

[tex]0.4x = 224[/tex]

[tex]x = \frac{224}{0.4}[/tex]

[tex]x = 560[/tex]

The original price was of $560, while the sales price was of 560 - 224 = $336.

Answer:y=-7n+33

Step-by-step explanation:

Answer:

C. 600 m²

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides and four angles) with two pairs of parallel sides. Opposite sides and angles of a parallelogram are equal to each other. Also, the diagonals are equal.

The area of a parallelogram is the product of its base and its height. It is given by the formula:

Area = base * height

We can see that for this parallelogram, the height = 15 m, the base = 40 m, hence:

Area = base * height = 40 m * 15 m = 600 m²

Answer:

n= s/180 +2

Step-by-step explanation:

s=(n-2)180

/180

s/180=n-2

+2

s/180 +2 =n

9514 1404 393

Answer:

  {-1, 0, 1, 2, 3, 4}  

Step-by-step explanation:

Divide by 2 to find the solution.

  -3/2 < e ≤ 4

The integer solutions are ...

  {-1, 0, 1, 2, 3, 4}

Step-by-step explanation:

-3 < 2e ≤ 8

devided by 2

-3/2 < e ≤ 4

so, the integers are : { -1,0,1,2,3,4}