It costs Trevor $50 to have a security system installed in his house. He pays a monthly service fee plus tax of 6% of his monthly bill. After 6 months, Trevor had paid a total of $361.64 for his service fee, taxes, and his initial installation. Trevor’s monthly service fee, not including taxes, is ___.

The value of the expression using BODMAS rule is 9.

To simplify the arithmetic expression involving more operators, we need to  use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.

For the given situation,

The values are c = -4, d = 10

The expression is 1/4(c^3+d^2)

Substitute the above values,

⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]

⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]

⇒ [tex]\frac{1}{4}(-64+100)[/tex]

⇒ [tex]\frac{1}{4}(36)[/tex]

⇒ [tex]9[/tex]

Hence we can conclude that the value of the expression using BODMAS rule is 9.

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Answer: 9

Step-by-step explanation:no clue how I got it but the test marked it correct

Answer:

A.6

Step-by-step explanation:

Cause it is bisecting the line and that means the length is the same on both sides

Answer:

12.4 units

Step-by-step explanation:

The diameter of circle J is represented by KN. Half of KN is KJ and JN which means these represent the radius. Since JN equals 12.4 and JN is the the radius, then the radius of circle J is 12.4 units which is answer choice D.

The radius of the given circle is 6.2 unit. So option B is correct.

A line segment from a circle's or sphere's center to its perimeter or boundary is known as the radius in geometry. It is a crucial component of spheres and circles and is frequently abbreviated as "r". When discussing multiple radiuses at once, the plural form of radius is "radii". The diameter of a circle or sphere is the longest line segment connecting all points on the opposite side of the centre, and the radius is equal to half of the diameter in length. It can be written as d/2, where d is the circle's or sphere's diameter. Look at the illustration of a circle below that depicts the connection between radius and diameter.

Given that,

A circle,

which contains diameter KN of length 12.4 unit

and chord 10.8 unit.

The radius = ?

It is known that, the length of the radius is half of the diameter of the circle,

R = D/2

  = 12.4/2

  =  6.2

Therefore, the length of the radius is 6.2 unit.

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Answer:

y=-2x+8

Step-by-step explanation:

When consider coordinate (5, -2)

y=-2x+8

When x=5

y= -2 x 5 + 8 = -2

Therefore the answer is  y=-2x+8

Answer:

99

Step-by-step explanation:

26-4=22. 4+7=11. 22-11=11. 9 times 11=99

Answer:

Answer:

99

26-4=22. 4+7=11. 22-11=11. 9 times 11=99

Step-by-step explanation:

Answer:

15kmh

Step-by-step explanation:

Answer:

15k

Step-by-step explanation:

There is 60 mins in an hour. Since she runs 5k in 20 mins you would multiply 20 by 3 because it would equal 60. Also you would multiply 5k by 3 also.

i hoped that made sense ;-;

Answer:

11x-11

Step-by-step explanation:

(10x-4)+(-7+x)

10x-4-7+x

11x-11

Answer:

11x-11

Step-by-step explanation:

10x+x=11x

-4+(-7)=-11

11x-11

if this is right a brainliest would be very appreciated!

Answer:

Number of year to get $10,000 as interest = 7.5 year (Approx)

Step-by-step explanation:

Given:

Initial investment = $20,000

Interest on investment = $10,000

Rate of interest = 5.6% = 0.056

Find:

Number of year to get $10,000 as interest:

Computation:

[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]

Number of year to get $10,000 as interest = 7.44

Number of year to get $10,000 as interest = 7.5 year (Approx)

Answer:

The 3rd one

Step-by-step explanation:

Answer: i-

Step-by-step explanation:

Answer:

$1.09

Step-by-step explanation:

Answer:

=18.38cm

Step-by-step explanation:

The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment .

Look at the attached picture. The longest segment we can draw is AG (or any of its equivalent: BH, CE, DF). Let's focus on AG for example.

We can think of AG as the hypotenuse of triangle ACG. So, we need AC first. AC is itself the hypotenuse of triangle ABC,

so we have,

[tex]AC^2 = AB^2+BC^2=8^2+7^2=113[/tex]

Now we can resume where we stopped with triangle AGC, and we have

[tex]AG=\sqrt{AC^2+CG^2}=\sqrt{113+225}=\sqrt{338}[/tex]

=18.38cm

Answer:

the total number of students is 1240

Step-by-step explanation:

the difference between 11 and 9 is 2

124÷2=62

62×11=682

62×9=558

682+558=1240

pls give me brainliest!

Answer:

x=-2 and x=-8

Step-by-step explanation:

(x+5)=3

Subtract 5 from both sides, to isolate x

x=-2

-(x+5)=3

Distribute the -

-x-5=3

Add 5 to both sides to isolate x

-x=8

Multiply both sides by -

x=-8

Hope this helps! Please mark brainliest :)

Answer:300

Step-by-step explanation:

1.

AB:

a² + b² = c²

'a' and 'b' are legs, while 'c' is the hypotenuse

3.6² + 5.2² = 12.96 + 27.04

c² = 40

c = √40

c ≈ 6.3

m∠A:

sine, cosine, tangent

soh - [tex]\frac{opposite}{hypotenuse}[/tex]

cah - [tex]\frac{adjacent}{hypotenuse}[/tex]

toa - [tex]\frac{opposite}{adjacent}[/tex]

∠a:

5.2 = opposite

6.3 = hypotenuse

[tex]\frac{5.2}{6.3}[/tex] = 0.825396...

x = sin^-1(0.825396)

x = 55.6 ≈ 56º

∠b:

90º + 56º = 146

180 - 146 = 34º

repeat for the rest of the problems

Answer:

There are 7,200

Step-by-step explanation:

Hope this helps!

There are 8400 4-digit numbers that are neither multiples of 2 nor multiples of 5.

The sequence is a pattern of placing the values in a specified manner.

To count the number of 4-digit numbers that are not multiples of 2 or 5, we can use the principle of inclusion-exclusion.

First, let's count the total number of 4-digit numbers. We know that the smallest 4-digit number is 1000 and the largest 4-digit number is 9999. Therefore, the total number of 4-digit numbers is:

9999 - 1000 + 1 = 9000

Next, let's count the number of 4-digit numbers that are multiples of 2. We know that a number is a multiple of 2 if its last digit is even, so half of the 10 possible digits can be the last digit of a multiple of 2. Therefore, there are:

5 × 10 × 10 = 500

4-digit multiples of 2.

Similarly, let's count the number of 4-digit numbers that are multiples of 5. We know that a number is a multiple of 5 if its last digit is 0 or 5. Therefore, there are:

2 × 10 × 10 = 200

4-digit multiples of 5.

Now, we need to subtract the number of 4-digit numbers that are multiples of both 2 and 5 (i.e., multiples of 10) since they were counted twice in the above calculations. There are:

1 × 10 × 10 = 100

4-digit multiples of 10.

Using the principle of inclusion-exclusion, the number of 4-digit numbers that are neither multiples of 2 nor multiples of 5 is:

9000 - 500 - 200 + 100 = 8400

Therefore, there are 8400 4-digit numbers that are neither multiples of 2 nor multiples of 5.

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Answer:

(2, 3) x=2, y=3

Step-by-step explanation:

There are two ways to solve this: substitution & elimination:

Using substitution for this equation:

[tex]\left \{ {{3x+y=9} \atop {5x+4y=22}} \right.[/tex]

3x + y =9

y = 9-3x

Substitute for y:

5x + 4(9 - 3x) = 22

5x + 36 - 12x = 22

-7x = -14

x = 2

Solve for y:

3(2) + y = 9

6 + y = 9

y = 3

Answer:

25^2=625

24^2= 576

7^2= 49

as 625 = 576+49 so 7,24,25 form a Pythagorean triplet

similarly

9,40,41 also is a Pythagorean triplet

Answer:

1/3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

It would have to be 3, because it says that 1/3 is wrong.

Answer:

2.62lbs

Step-by-step explanation:

Answer:

The answer is A I JUST DID it

The cross section of the figure is Pentagon.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A plane intersects a pentagonal pyramid horizontally as shown.

Now, By the given figure,

The plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.

Hence, It represent the Pentagon.

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Answer:

neither

Step-by-step explanation:

parallel run side by side and perpendicular cross at 90 degree angle.  these equations come out to looking like a X

Answer:

a and e

Step-by-step explanation:

Answer:

help :(

Step-by-step explanation:

Answer:4.5

Step-by-step explanation:

Answer:

$13.35

Step-by-step explanation:

To find the amount of discount, multiply the discount rate by the usual price of the small TV.

discount rate * regular price

The discount rate is 15% and the regular price of the small TV is $89.00

15%*$89.00

15%*89

Convert 15% to a decimal by dividing 15 by 100, or moving the decimal place two spots to the left.

15/100=0.15

15.0-->1.5-->0.15

0.15*89

Multiply

13.35

The discount amount is $13.35

So the amount of discount is $13.35

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

take your time dont rush

Step-by-step explanation:

Answer:

(0, 3)

Step-by-step explanation:

Let's first eliminate x.  To do this, multiply all three terms of the first equation by 5:  

-5x + 20y = 60

5x -    2y  = -6

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

         18y = 54, so that y = 3.

Substituting 3 for y in the first equation yields:

-x + 4(3) = 12, or -x = 0.  Thus, x = 0, and the solution is

(0, 3)