Algebra 2
S varies inversely as G. If S is 8 when G is 3.5, find S when G is 7.
a) Write the variation.
b) Find S when G is 7.

After dilation the new dimensions of the rectangle is drawn and shown in the image attached below.

Dilation simply refers to the enlargement or reduction of the size of an image.

When an image is enlarge, the original size of the image increases, while when it is reduced, the new image formed will have a size that is smaller than the original image.

To dilate an image, a scale factor is used. If the scale factor is less than 0, it is a reduction, if it is more than 0, it is an enlargement.

To get the length of the sides of the new image, multiply the length of each side of the original image by the scale factor.

In the diagram given, we have the following:

Length of original image = 12 units

Width of original image = 9 units

To create a third of the rectangle given, it means the scale factor for the dilation is 1/3.

Length of new rectangle = 12 units × 1/3 = 4 units

Width of new rectangle = 9 units × 1/3 = 3 units

Thus, after dilation the new dimensions of the rectangle is drawn and shown in the image attached below.

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Answer:

It means to give an in depth sentance

Step-by-step explanation:

Answer:

Step-by-step explanation:

I will give u ex to be more clear

3, 6, 9, 12

here 3 is the first term

        9 is the second term

and so on

hope this helps

The equation for total cost will be c = 60 + 29t and the total cost for 6 months will be $234.

It is given that charge of cellular connection for a phone is $60 and Economy plan is of $29 per month.

We have to find out the equation for total cost and the value of total cost for 6 months.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , multiplication , etc.

As per the question ;

Charge of cellular connection for a phone = $60

and

Economy plan of cellular connection = $29 per month

Let's assume c be total cost , t be no. of months.

So ;

The economy plan charges for t months will be ;

= 29 × t

and

The equation for total cost (c) will be ;

c = 60 + 29t

Also ;

The total cost for t = 6 months will be ;

c = 60 + 29 × 6

c = 60 + 174

c = $234

Thus , the equation for total cost will be c = 60 + 29t and the total cost for 6 months will be $234.

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Answer:

-4 0 4

Step-by-step explanation:

Answer:there all in the domain

Step-by-step explanation:

Answer:

is fh not 4x-25

Step-by-step explanation:

Answer:

18.1

Step-by-step explanation:

Answer:

No because they aren’t similar

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

You can't mutlipy 2 by anything to get 11.

Answer:

After 20 years 18.75 gm of sample will remain.

Step-by-step explanation:

The half-life is the time it takes for any amount of Cobalt-60 to decay to half the starting amount.

20 years is 4 times the half-life of 5 years. So there would be

(300 g) / 2⁴ = 18.75 g

remaining after 20 years.

In other words, after 5 years, 300 g decays to 150 g.

After another 5 years (total 10 years), 150 g decays to 75 g.

After another 5 years (total 15 years), 75 g decays to 37.5 g.

After another 5 years (total 20 years), 37.5 g decays to 18.75 g.

Answer:

See explanation

Step-by-step explanation:

9) B

Larallel lines hav ethe same slope as each other.

Answer:

37.4

Step-by-step explanation:

The most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.

Given that, Pat has a fever of temperature is 99.3° F.

Celsius to Fahrenheit is the conversion of temperature from Celsius unit to Fahrenheit unit. Temperature scales provide a way of measuring how hot or cold a body is. Fahrenheit and Celsius are temperature scales.

The formula to convert Celsius to Fahrenheit is given by: °F = °C × (9/5) + 32.

The formula to convert Fahrenheit to Celsius is C=5/9(F-32)

Now, C= 5/9 (99.3-32)

= 5/9 × 67.3

= 37.39°

Hence, the most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.

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Answer:

6th of June or June 6th

Step-by-step explanation:

That means today will the 3rd of June because tomorrow is the 4th of June. That means in three days, it will be the 6th of June.

Answer:

A = $5183.36

Step-by-step explanation:

Compound Interest

It occurs when the interest is reinvested rather than paying it out. Interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Abdul deposited P=$4000 into an account with r=2.6% = 0.026 compounded quarterly. Since there are 4 quarters in a year, n=4. We are required to calculate the amount in the account after t=10 years.

Applying the formula:

[tex]{\displaystyle A=4000\left(1+{\frac {0.026}{4}}\right)^{4*10}}[/tex]

[tex]{\displaystyle A=4000\left(1.0065\right)^{40}}[/tex]

A = $5183.36

Answer:

88

Step-by-step explanation:

6+5=11

8/2=4

11x(4)2

The value of the expression 6 + 5 . (8 ÷ 2) 2 is 46.

BODMAS rule is a rule of calculating expressions which include more than one different mathematical operations.

BODMAS is an abbreviation for Brackets, Orders, Division, Multiplication, Addition and Subtraction.

So while calculating expressions including different operations, we should follow this order.

Here, the given expression is  6 + 5 . (8 ÷ 2) 2.

By BODMAS rule, we should calculate the expression in the bracket first.

8 ÷ 2 = 4

So, the expression becomes  6 + 5 × 4 × 2.

There are two operations, multiplication and addition here.

We should go for multiplication first.

5 × 4 × 2 = 40

The expression becomes 6 + 40 = 46.

Hence we got the value of the expression 6 + 5 . (8 ÷ 2) 2 as 46.

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The sales price on an item that is $50 with a 54% markdown is $23

The given parameters are

Item price = $50

Markdown = 54%

The sales price on an item that is $50 with a 54% markdown is calculated as

Sales price = Item price * (1 - Markdown)

So, we have

Sales price = 50 * (1 - 54%)

Evaluate

Sales price = 23

Hence, the sales price on an item that is $50 with a 54% markdown is $23

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Answer:

In a nutshell, [tex]\frac{3}{5}[/tex] is not equivalent to [tex]\frac{18}{32}[/tex].

Step-by-step explanation:

Now we proceed to demonstrate that Edgar's statement is false:

1) [tex]\frac{3}{5}[/tex] Given

2) [tex]\frac{3}{5} \times \frac{2}{2}[/tex] Modulative property/Existence of multiplicative inverse

3) [tex]\frac{6}{10}[/tex] [tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot b}{c\cdot d}[/tex]

4) [tex]\frac{6}{10}\times \frac{3}{3}[/tex] Modulative property/Existence of multiplicative inverse

5) [tex]\frac{18}{30}[/tex] [tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot b}{c\cdot d}[/tex]/Result

In a nutshell, [tex]\frac{3}{5}[/tex] is not equivalent to [tex]\frac{18}{32}[/tex].

Answer: [tex]\dfrac{b}{5}[/tex]

Step-by-step explanation:

Given: Let b = Total number of books.

Total shelves = 5

Number of books on each shelf = (Total number of books) ÷ (Total shelves)

= b  ÷ 5

[tex]=\dfrac{b}{5}[/tex]

The required expression for the number of books on each shelf = [tex]\dfrac{b}{5}[/tex]

Answer:

y=3*x

Step-by-step explanation:

john bought 3 notebooks for 9 dollars

so 9/3=3

notebooks costed 3 dollars each

x-number of notebooks

y-cost of notebooks

so

y=3*x

because 3 dollar cost every notebook you could buy.

if i buy 2 notebooks

so x=2

y=3*2=6 dollars

if I buy 3 notebooks

then y=3*3=9 dollars

end this way continues

Answer:

0.525%

Step-by-step explanation:

Since we are trying to find the probability of a sequence of events we simply need to multiply the probability of each of these events happening separately from one another. We are told that the probability that the light will be red is 65% that means that the probability that it will be green and that the driver will not need to stop is 35%. This probability remains the same every day of the week. Therefore we need to multiply this probability 5 times, one time for each weekday Monday through Friday, but first we need to turn this percentage into a decimal form by dividing it by 100...

35% / 100 = 0.35

0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.00525 ...multiply by 100 to get percentage

0.00525 * 100 = 0.525%

Finally, we can see that the probability that she will not have to stop at the light all next week is 0.525%

Answer: 3.33 centimeters

Step-by-step explanation:

From the question, we are informed that the scale drawing of an ant is given as:

1 centimeter = 1.5 millimeters

If the actual ant is 5 mllimeters long, the length of the ant on the drawing would be calculated as:

= 5 / 1.5

= 3.33 centimeter

Answer:

3.33

Step-by-step explanation:

Answer:

There are 108° in each interior angle of a regular pentagon. This process can be generalized into a formula for finding each interior angle of a REGULAR polygon Each interior angle of a “regular” polygon is given by where n = the number of sides in the polygon.

Step-by-step explanation:

Answer: Expression: 13+x

Answer if she scored 3 in the second half=16

Step-by-step explanation:

Since she scored 13 points in the first half and X amount in the second, it's asking for the total number. Since X is unknown, it's simply 13+x. Then, they say X=3. Now plug 3 in for X and solve.

ie: 13+3

Answer:

(3,-2)

Step-by-step explanation:

Got it right!!

Answer:

b.

Step-by-step explanation:

b-cuz i said so.

Answer:

x = 17

<2 = 121

Step-by-step explanation:

We know that angle 1 and angle 3 form a linear pair, which means they add to 180

7x+2 + 3x+8 = 180

Combine like terms

10x+ 10 = 180

Subtract 10 from each side

10x+10-10 = 180-10

10x = 170

Divide by 10

10x/10 =170/10

x = 17

Angle 1 and angle 2 are vertical angles and vertical angles are equal

<1 = <2 = 7x+2 = 7(17) +2 =119+2=121

the answer to your question is:

D (2, -6)

i hope this was helpful ;)

Answer:

x = 0

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

2x + 3 = x - 4

      -3 =     -3

     2x = x - 7

     -x    -x

      x = -7

Answer:

3 34/45

Step-by-step explanation:

The common denominator of these is 45.

13/15 = 39/45

8/3 = 120/45

2/9 = 10/45

Add that up and that is 169/45

Simplify as a mixed number, and it would be 3 34/45

Answer:

169/45

Step-by-step explanation:

First lets do 13/15 + 8/3.

We can multiply 8/3 by 5 to both num and denom for a ration, with the denominator being 15: 40/15.

Then add 13/15 to 40/15 to get 53/15

Now multiply that by 3 to both num and denom to get 159/45. This is to get the least common factor with 9.

2/9 can be multiplied by 5 to both num and denom to get the least common factor with 15: 10/45

Now add 159/45 with 10/45 = 169/45

169/45 is the least it can be simplified so that is the answer.