4. Your first six-month auto insurance premium was $729.00. Based on your good
driving record, your renewal premium is $648.81. What percent decrease did you see
in your premium? (2 points)
I

Answer:

mean: 13.2 (average)

median: 14.5 (Center)

mode: 14 and 15 (because data is bimodal so there are two modes

Step-by-step explanation:

Answer:

mean = 13.2, median = 15.5, mode = 18

Step-by-step explanation:

mean = 14+15+3+15+14+14+18+15+8+16/10

= 132/10 = 13.2

median =[ (n/2)th term + (n/2+1)term ]/2

here n is even so this formula is applied and before this is done, the numbers given are to be arranged in ascending or descending order

= [10/2 + (10/2+1)]/2

= [5th term + 6th term]/2

= (15+16)/2

= 31/2 = 15.5

mode = 18

Answer:

24x

Step-by-step explanation:

4x + 4x + 4x + 4x + 4x + 4x

=> 4(x + x + x + x + x + x)

=> 4(6x)

=> 24x

Answer:

15.07352941

Step-by-step explanation:

in short 15.07

9514 1404 393

Answer:

  50.3 inches

Step-by-step explanation:

720 degrees is 2 full turns, or twice the circumference of the pulley. The circumference is given by ...

  C = 2πr

  C = 2π(4 in) = 8π in

Then 2 times that is ...

  height lifted = 2(8π in) = 16π in ≈ 50.3 in

The object was lifted about 50.3 inches.

Answer:

Step-by-step explanation:

7y-3y= 4y

4y=8

Here when its like this we need y by itself, so you take out 4 by dividing 8 by 4.

y= 2

Answer:

1400m^2

Step-by-step explanation:

Solution,

Let the breadth of the rectangle be x m, then the length of the rectangle will be x+5 m,

Now,

Perimeter of the rectangle=2(l+b)

150=2(x+5+x)

150=2(2x+5)

150=4x+10

150-10=4x

140=4x

140/4=x

35=x

So, the breadth of the rectangle=35 m

and length=(35+5)m=40m

Again,

Area of the rectangle=l×b

=40m×35m

=1400 m^2

I hope it helped U

stay safe stay happy

Answer: Area= 1400[tex]meter^{2}[/tex]

Step-by-step explanation:

ok  so  we can assume the

breadth=X

so, length = X+5 (because the length is 5 meters more than the breadth)

perimeter= 150 meters

the formula of the perimeter of a rectangle = 2 x ( Length + Breadth)

so now if we put the values,

2 * ( X+5 +X) = 150 ( because 150 is the perimeter)

2 * (2X + 5) = 150 (the value became 2x because when we add two variables with the same value it will be written as 2(any variable)).

now we multiply  2 with both sides

so ( 2 * 2X) + (2 * 5)

hence, 4X + 10 = 150

now we will solve the equation,

4X= 150 -10 (because we did transposal the signs will change from "+" to "-")

4x= 140

again with the transposal (when we write a number with a variable it shows that it means the number multiplied by the variable in this case it is 4 multiplied by X ) so when we transpose we will have to divide because multiplication turns into division while transposing

so now,

X= 140÷4

which is equal to 35

so finally X = 35

so as we have written in the beginning breadth= X

and LENGTH= X+5

so now we have found X

BREADTH= 35

LENGTH= 40 (because 35+5 is 40)

now we have to find area the formula for finding the area is LENGTH×BREADTH

so, 40 × 35 = 1400

now we put the unit which is square meters also known as [tex]m^{2}[/tex]

so there is your final answer 1400[tex]m^{2}[/tex]

Answer:

The correct choice is option B. -7 ≤ x < 12

Step-by-step explanation:

Answer:

0.0012*​x*​0.46

Step-by-step explanation:

Place 45

∘

set-square and make an angle of 45

∘

by drawing the rays BD and BC

Answer:

a = 15 /100  * 28.62 = 4293 /1000

= 4.293

Hope this helps! :)

Answer:

Answer: k - 16

Step-by-step explanation:

If she looses, it becomes less or smaller. Subtraction produces that result. K is a fairly large number. 16 is much smaller. So she has K - 16 left.

K - 16

Answer:

Divide 360 by the difference of the angle and 180 degrees. For example, 360 divided by 15 equals 24, which is the number of sides of the polygon. Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon.

Answer: 3

Step-by-step explanation:

[tex]\sqrt{ \dfrac{45}{5}} =\sqrt{9}=\bold3[/tex]

Answer:

3

Step-by-step explanation:

We don't really need to simplify this, but if you do:

45/5 is the same as 45 ÷ 5 so

45/5 = 9

Now we have to find the square root of 45/5(or 9). The square root of a number(x for example) is the number(y) that multiplied by itself once will equal x or y · y = x.

For this you can use a calculator:

[tex]\sqrt{\frac{45}{5} }[/tex] = 3

or

[tex]\sqrt{9}[/tex] = 3

Answer:

Answer: 49/6units^{2}49/6units

2

Step-by-step explanation:

You can convert from mixed number to fractions as following:

2 1/3=((2*3)+1)/3=7/3 units

3 1/2=((3*2)+1)/2=7/2 units

Then you can calculate the area of the rectangle as you can see below:

\begin{gathered}Area=lenght*width\\Area=7/2units*7/3units\\Area=49/6units^{2}\end{gathered}

Area=lenght∗width

Area=7/2units∗7/3units

Area=49/6units

2

Answer:

[tex]10\frac{1}{8}[/tex]

Step-by-step explanation:

→ Multiply the fractions together

[tex]4\frac{1}{2} *2\frac{1}{4}[/tex]

→ Convert to improper fractions

[tex]\frac{9}{2} *\frac{9}{4}[/tex]

→ Multiply across

[tex]\frac{81}{8}[/tex]

→ Convert back to mixed number

[tex]10\frac{1}{8}[/tex]

Answer:

A. 2+6+10+14+18+22+26+30+34+38

B. 6+18+54+162+486+1458+4374+13122+39366+118098

Step-by-step explanation:

I. In A. you can see 2 is plus by 4 = 6

                                6 is plus by 4 = 10

                                ... is plus by 4 ...

So the term was plus by 4

II. In B. you can see 6 is multiply by 3 = 18

                                18 is multiply by 3 = 54

                                 ... is multiply by 3 ...

So the term was multiply by 3

Leave comment if you're curious.

Answer:

4.5

Step-by-step explanation:

find the difference,square them,add and find the square root

-1-1=-2

4-(-1)=4

2^2+4^2=4+16

=20

square root of 20=4.5(2dp)

Answer:

[tex]given \: that50 = b \\ a = c \\ 180 - 50 = a = 130 \\ so \: \: \: a = c = 130 \\ b = 50 \\ thank \: you[/tex]

Answer: First Choice. no solution

Step-by-step explanation:

Given

5 (x + 1) ≤ 5x + 3

Expand parentheses and apply the distributive property

5x + 5 ≤ 5x + 3

Subtract 5x on both sides

5x + 5 - 5x ≤ 5x + 3 - 5x

5 ≤ 3

5 ≤ 3 is not true, therefore, there is no solution.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(2, -9)

Step-by-step explanation:

f(x) = (x + 1)(x - 5)

[tex] =f(x) = {x}^{2} - 5x + x - 5[/tex]

[tex] = f(x) = {x}^{2} - 4x - 5[/tex]

[tex] = f(x) = {1x}^{2} - 4x - 5[/tex]

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

= a = 1, b = -4

[tex] = x = \frac{ - 4}{2 \times 1} [/tex]

[tex] = x = - \frac{ - 4}{2} [/tex]

[tex] = x - ( - 2)[/tex]

[tex] = x = 2[/tex]

= f(x) = (x + 1) x (x - 5); x = 2

= f(2) = -9

= (2, -9)

Answer:

1500

Step-by-step explanation:

Basically 5*3 then add the two zeroes. One from 50 and 30.

Answer:

if you need help with some subjects you can come here in brainly it helps me a lot i just started grad 6 so yeah

like if you have a math question just go to ask question you and someone will help

Answer:

B

Step-by-step explanation:

a money account works in the same way as real things we can touch.

so, when I have 300 apples at a place (e.g. a grocery store), then I take away 300 apples, and then put again 300 apples there - how many apples will be there at that moment ?

we had 300 and took away 300.

300 - 300 = 0

at that moment we have 0 apples.

but then we put again 300 apples there.

0 + 300 = 300

so, we end up with 300 apples. the same number we started with.

and the same way for the savings account.

he takes out $300.

that means he has now $300 less on his account.

and then he adds $300.

so, he added exactly the same amount as he took out earlier, which means nothing else than that he undid his earlier action regarding his bank account.

so, his balance is now exactly the same as before he did the first transaction.

therefore the change is exactly : $0

Answer:

a₈ = [tex]\frac{1}{78125}[/tex]

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

Here a₁ = 1 and r = [tex]\frac{1}{5}[/tex] , then

a₈ = 1 × [tex](\frac{1}{5}) ^{7}[/tex] = 1 × [tex]\frac{1}{78125}[/tex] = [tex]\frac{1}{78125}[/tex]

Answer:

OA) -7.8 repeating... is irrational number

Step-by-step explanation:

I. Repeating Decimal is on of irrational number

II. Pie.value is also irrational number, but in computer science, we can find pie value with the quantum computer.

Answer:

c = 275n

Step-by-step explanation:

It's saying what is the rule, which would be 275 dollars per arce. Now, put that into an equation: c = 275n

Answer and Step-by-step explanation:

15.  [tex]-\frac{27}{20}[/tex] or [tex]-1\frac{7}{20}[/tex]

-1.35 = -135/100 = [tex]-1\frac{35}{100}[/tex]  (Mixed number)

Multiply the number by 100, then divide the number by 100 (but keep it in fraction form).

-1.35 x 100 = -135

[tex]-\frac{135}{100}[/tex] = [tex]-\frac{27}{20}[/tex]

(Mixed Fraction = . To check, multiply the 20 by the 1, then add 7, to get -27/20)

18. [tex]\frac{49}{11}[/tex] or [tex]4\frac{5}{11}[/tex]

4.45 = 49/11 = [tex]4\frac{5}{11}[/tex]

4.4545.....

Multiply the number by 100 (because there is 2 numbers being repeated.

445.4545....

Now subtract by the original number.

445.4545....

-   4.4545....

441.00

Write this as an equation:

(100 x fraction) - fraction = 441           (100 x fraction) - fraction = 99 x fraction

99 x fraction = 441   (Divide both sides by 99)

fraction = [tex]\frac{441}{99}[/tex] (which simplifies down to [tex]\frac{49}{11}[/tex])

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