Decrease 360 by 15%

The percentage reduction in Caroline's earnings if she decides to go ahead with her plan is 30%.

Since Caroline works 8 hours each day for 5 days a week and she's earns £11 per hour. The amount earned for the week is:

= (80 × 5 × £11)

= £440

When she is planning on reducing her working schedule and only work 7 hours each day for 4 days a week. The amount will be:

= (4 × 7 × £11)

= £308

The percentage reduction will be:

= Difference on amount / Old amount × 100

= (440 - 308) /440 × 100

= 132/440 × 100

= 0.3

= 30%

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Caroline works 8 hours each day for 5 days a week. She's earns £11 per hour. Caroline is planning on reducing her working schedule and only work 7 hours each day for 4 days a week work out the percentage reduction in Caroline's earnings if she decides to go ahead with her plan

Answer:

A. The perimeter of the third triangle will be equal to the perimeter of the second triangle because the lengths of line segments are preserved during translations.

Step-by-step explanation:

When a shape is translated, it simply means it is moved. Nothing about it is being changed besides the location. Therefore, it will have the same perimeter because its sides are the exact same.

I hope this helps! ☺

Answer: 47.5

Step-by-step explanation:

Answer:

∠2 = 105°

Step-by-step explanation:

180° -75° = 105°

Answer:

Step-by-step explanation:

[tex]16^{\frac {3}{4}[/tex] = [tex]\sqrt[4]{16^{3}}[/tex]

So, 16 to the power of 3 equals 4096

[tex]\sqrt[4]{4096}[/tex] = [tex]\sqrt[4]{8^{4}}[/tex]

=8

Answer:

25.12

Step-by-step explanation:

c = 2 pi r

d = 8 so r = 4

c = 2 * 3.14 * 4

c = 25.12

Answer:

Step-by-step explanation:

Given

Diameter (d) = 8 yd

radius (r) = d/2 = 8/2 = 4

Now

Area = π * r²

        = 3.14 * 4²

        = 50.24 yd²

Circumference

= π * d

= 3.14 * 8

= 25.12 yd

Answer:

We say that a strong negative association exists between the variables x and y. Consider the following scatterplot: We observe that y increases as x increases, and the points do not lie on a straight line. We say that a weak positive association exists between the variables x and y.

Step-by-step explanation:

Answer:

We say that a strong negative association exists between the variables x and y. Consider the following scatterplot: We observe that y increases as x increases, and the points do not lie on a straight line.

Step-by-step explanation:

Answer:

1%

divided 2/ 200 and your answer as a persent is  1%

Step-by-step explanation:

may i get brainliest i need 1 more?

2 is 1 percent of 200.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let 2 is x% of 200.

Now, x% of 200 =2

x/100 ×200 =2

200x=200

x=1

Therefore, 2 is 1 percent of 200.

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Step-by-step explanation:

area = pi × r²

= 3.14 × 1 × 1 = 3.14 inch²

Answer:

3.14

Step-by-step explanation:

A=πr2=π·12≈3.14159in²

Answer:

A

Step-by-step explanation:

Yes, because there is exactly one x-value for every y-value.

Answer:

V=2.8cm^3

Step-by-step explanation:

The volume of a pyramid with a square base should be considered as the 2.8 cubic centimeter.

Since

perimeter of the base is 6.9 cm and the height of the pyramid is 2.8 cm.

So, here

we know that

volume of a pyramid = [tex]1/3(length * width * height)[/tex]

And,

perimeter of a square = [tex]4 * length[/tex]

6.9 = 4 x length

So,

length = 1.725

Now the volume is

[tex]= 1/3 * (1.725 * 1.725 * 2.8)[/tex]

= 2.8

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huh show us a picture of it or something,

Answer:

Step-by-step explanation:

It’s LJK

Answer:

7. m=3 b=-4

Equation y=3x-4

8. m=-6/4 b=7

Equation y=-6/4x+7

Step-by-step explanation:

Answer:

7. m=3 b= -4 , Equation y=3x-4

8. m= -6/4 b=7 , Equation y=-6/4x+7

Step-by-step explanation:

look in the chart

Answer:

The rate of change in the table is 78 students per year

Step-by-step explanation:

Here, we want to get the rate of change of the function

Mathematically, we can get this by using the formula;

m = (y2-y1)/(x2-x1)

(x1,y1) and (x2,y2) are points we are to select from the table

Let us select the point (4,704) and (17,1718) from the table

The slope is thus;

m = (1718-704)/(17-4) = 78 students per year

Given:

AD is an angle bisector in triangle ABC. [tex]m\angle CAB=44^\circ, m\angle ACB=72^\circ, m\angle ABC=64^\circ[/tex].

To find:

The value of [tex]m\angle ADC[/tex].

Solution:

AD is an angle bisector in triangle ABC.

[tex]m\angle CAD=m\angle BAD=\dfrac{m\angle CAB}{2}[/tex]

[tex]m\angle CAD=m\angle BAD=\dfrac{44^\circ}{2}[/tex]

[tex]m\angle CAD=m\angle BAD=22^\circ[/tex]

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

Using angle sum property in triangle CAD, we get

[tex]m\angle CAD+m\angle ADC+m\angle ACB=180^\circ[/tex]

[tex]22^\circ+m\angle ADC+72^\circ=180^\circ[/tex]

[tex]m\angle ADC+94^\circ=180^\circ[/tex]

[tex]m\angle ADC=180^\circ-94^\circ[/tex]

[tex]m\angle ADC=86^\circ[/tex]

Therefore, the angle of angle ADC is [tex]86^\circ[/tex].

Answer:

Hi! Your answer is 1295x^4y^3

Step-by-step explanation:

Simplify the expression.

Answer:

i got 15x^4y^3

Answer:

Where is the table

Step-by-step explanation:

Step-by-step explanation:

1. 3 multiplied by x is the same value of 6

2. since 3x is on the left side we have to divide the equation by 3 on both sides which doesn't change the value of x, but it helps us get the value for x. so when you divide the equation by 3 the answer for x=6/2 which 2 divided by 6=3

Hope that helps :)

Answer:

Because 3x2=6

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

Like terms are terms that are like each other

2x and x both have x

3 and 9 are both constants

Move them so they are next to each other

-2x-x=9-3

-3x=6

x=-2

Answer:

NM = 13

Step-by-step explanation:

pythagorean theorem: [tex]a^{2} + b^{2} = c^{2}[/tex]

a or NO = 5

b or OM = 12

c or NM = ?

plug in what is known:

⇒ [tex]5^{2} + 12^{2} = c^{2}[/tex]

⇒ [tex]25 + 144 = c^{2}[/tex]

⇒ 169 = [tex]c^{2}[/tex]

square root each side of the equation:

⇒ [tex]\sqrt{169} = \sqrt{c^{2} }[/tex]

solve:

⇒ 13 = c

Answer:

32.5 is the correct answer

Answer: 2.5 + π is an irrational number.

Step-by-step explanation:

Irrational numbers are numbers that can not be written as the quotient of two integer numbers, and they have an infinite number of digits after the decimal point (such that there is not periodicity in these digits).

So suppose that we have an irrational number and we add 1, then the infinite digits after the decimal point will still be there, so the sum will be also an irrational number.

The same can be seen for the sum between an irrational number and a rational number, where the infinite number of decimals after the decimal point will still be there (because the rational numbers have a finite or infinite but periodical decimals after the decimal point), so the sum between an irrational number and a rational number is always irrational.

In this case, we have the addition:

2.5 + π

Which is the sum of a rational number and an irrational number, so we can conclude that this is an irrational number.

Answer:

the answer is A

Step-by-step explanation:

hope it helped

Answer:

d

Step-by-step explanation:

The answer is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

Answer:

15x^2+5x^3+9

Step-by-step explanation:

(7x^2+8x^2)+5x^3+9

15x^2+5x^3+9