What fraction is equivalent to 4/12

Laura received 144 orders over the first year

Solution:

Given function is:

f(n) = 2n - 1

Where, "n" is the month

In the first month she put up her website she had only a single T-shirt order

f(1) = 2(1) - 1 = 2 - 1

f(1) = 1

There are 12 months in a year

For the second month, and third month and so on, substitute n = 2, 3 and so on

f(2) = 2(2) - 1 = 4 - 1 = 3

f(3) = 2(3) - 1 = 6 - 1 = 5

f(4) = 2(4) - 1 = 8 - 1 = 7

f(5) = 2(5) - 1 = 10 - 1 = 9

f(6) = 2(6) - 1 = 12 - 1 = 11

f(7) = 2(7) - 1 = 14 - 1 = 13

f(8) = 2(8) - 1 = 16 - 1 = 15

f(9) = 2(9) - 1 = 18 - 1 = 17

f(10) = 2(10) - 1 = 20 - 1 = 19

f(11) = 2(11) - 1 = 22 - 1 = 21

f(12) = 2(12) - 1 = 24 - 1 = 23

Thus total orders received over first year:

Total orders = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Total orders = 144

Thus she received 144 orders over the first year

Answer:

h = 2A/b

l = (P/2) - w

Step-by-step explanation:

for equation A

Multiply both sides with 2

Then divide both sides with b which leaves h on one side

for equation P

Divide by 2 on both sides

Then subtract w from both sides which leaves l on one side

Answer:

x= -1

Step-by-step explanation:

ditribute 3 to the (2-2x), 15+3x=6-6x

add 6x to both sides 15+9x=6

subtract 15 from both sides 9x=-9

divide 9 on both sides x= -1

Answer:

Distance = 192 km

Step-by-step explanation:

To calculate the distance, the distance is given by the formula:

s = vt

where s = distance

          v = average speed

          t = time taken to travel

therefore, the distance is given as

s = 24miles/hour× 8 hours

  = 192 miles.

The total distance is 192 miles.

To calculate the average speed on the first trip to the conference, divide the distance by the time like this:

s = vt

v = s/t

  = 192 miles/ 5 hours

  = 38.4 miles per hour

As you can see, the driver drove faster than she did when she was driving in bad weather.

20 % are the math apps in total number of apps

Solution:

Maya downloaded some math and science apps from Google Play

The number of math apps is 25% of the number of science apps

Let "x" be the number of science apps

Then, we get,

Number of math apps = 25 % of number of science apps

Number of math apps = 25 % of x

[tex]\text{Number of math apps } = \frac{25}{100} \times x[/tex]

Number of math apps = 0.25x

What percent are the math apps to the total number of apps?

Total number of apps = x + 0.25x = 1.25x

Math apps = 0.25x

We have to find the percent of math apps in total number of apps

[tex]\text{ percent of math apps} = \frac{\text{Math app}}{\text{total number of apps}} \times 100[/tex]

[tex]\text{ percent of math apps} = \frac{0.25x}{1.25x} \times 100\\\\\text{ percent of math apps} = 0.2 \times 100\\\\\text{ percent of math apps} = 20[/tex]

Thus 20 % are the math apps in total number of apps

75% right?

I think so..

Answer:

Step-by-step explanation:

circumference= 2πr

                        = 2*[tex]\frac{22}{7}[/tex]*22

                        = 44*[tex]\frac{22}{7}[/tex]

                       = 968/7

                        = 138.28 cm

Answer:

Circumference of the Tire is  [tex]138.16cm[/tex]

Step-by-step explanation:

Circumference of any figure is the total length of its boundaries.

Considering the tire as a circle.

Given:

         radius of the tire= [tex]22cm[/tex]

    circumference of a circle = [tex]2\pi r[/tex]

                                         [tex]=2*\pi *22\\\\=44*\pi\\\\ =44(3.14)\\\\=138.16cm[/tex]

So, the circumference of the Tire is  [tex]138.16cm[/tex]

Answer:0.000004

or 4.0E-5

Step-by-step explanation:

It would take the kitten 25 days after its birth to triple its weight.

Solution:

kitten weighed 100 grams at birth

And gained 8 grams per day

kitten needed to triple its weigh

Which means, they have to become 3 x 100 = 300 grams

Let "x" be the number of days needed to be 300 grams

Then we can say,

300 grams = 100 grams at birth + 8 grams( number of days)

[tex]300 = 100 + 8x\\\\8x = 300-100\\\\8x = 200\\\\Divide\ both\ sides\ by\ 8\\\\x = 25[/tex]

Thus it would take the kitten 25 days after its birth to triple its weight.

Answer:

C

Step-by-step explanation:

She will need 7 rolls of lace

Step-by-step explanation:

The given is:

We need to find how many rolls she will need

∵ The diameter of the table is 72 inches

- Change the inches to feet because the length of the lace in

   the rolls by feet

∵ 1 foot = 12 inches

∴ 72 inches = 72 ÷ 12 = 6 feet

∵ She plans to sew lace around the table

∴ The length of the lace is equal to the circumference of the table

∵ The circumference of a circle = π d, where d is its diameter

∴ The length of the lace = π(6)

∴ The length of the lace = 18.84955592 feet

∵ The lace comes in 3-foot rolls

- Divide the length of lace by 3 to find the numbers of the rolls

∴ The number of rolls = 18.84955592 ÷ 3

∴ The number of rolls = 6.283185

∴ She must buy 7 rolls

She will need 7 rolls of lace

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Answer:

The cost of one pizza is $8

Step-by-step explanation:

From the question;

We are required to determine the cost of  one Pizza

Then we get the equations;

3x + 4y = $34

3x + 7y = $41.50

We can solve the equations simultaneously;

Subtracting the two equations;

3x + 4y = $34

3x + 7y = $41.50

...........................................

       -3y = -$7.5

           y = $2.5

To get x;  

      3x = $34 - 4($2.5)

       3x = $24

        x = $8

Therefore, the cost of one pizza is $8

See the explanation

The complete question is attached below. In order to solve this problem, we'll use a graphing tool. First of all, we'll say that the LHS is a linear function and the RHS is another linear function, so for each case, we'll have:

[tex]f(x)=g(x)[/tex]

For each graph, [tex]f(x)[/tex] will be drawn in red while [tex]g(x)[/tex] will be drawn in blue.

Case 1:

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

So by equating both equations:

[tex]\frac{1}{4}x+\frac{5}{2}x-2=4-\frac{1}{4}x[/tex]

By using graphing tool we get a point of intersection at which the x-value is the solution to our equation. So:

Solution:

[tex]\boxed{x=2}[/tex]

See First Figure below.

Case 2:

[tex]f(x)=7.9x+x+4 \\ \\ g(x)=-1.1x-16[/tex]

Applying a similar method as in case 1.

Solution:

[tex]\boxed{x=-5.8}[/tex]

See Second Figure below.

Case 3:

[tex]f(x)=3.2x+5.7 \\ \\ g(x)=-2.5x[/tex]

Applying a similar method as in case 1.

Solution:

[tex]\boxed{x=-1}[/tex]

See Third Figure below.

Case 4:

[tex]f(x)=10.1x-1.6x+44 \\ \\ g(x)=-7[/tex]

Applying a similar method as in case 1.

Solution:

[tex]\boxed{x=-6}[/tex]

See Fourth Figure below.

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Answer:

Answer: 1. 10.1x - 1.6x + 44 = -7

             2. 7.9x + x + 4 = 1.1x - 16

           3.  3.2x + 5.7 = -2.5x

           4. 1/4x + 5/2x - 2 = 4 -1/4x

in order

Step-by-step explanation:

mark as brainliest plz!!!        hope this helps!

They will be 18 km apart at 5 pm.

Step-by-step explanation:

Speed of Raj is 5km/hr and speed of Dev is 7km/hr

Since they are going in opposite direction,

So, every 1 hours there difference will be (7 + 5) km = 12 km

Now, they will be apart 18 km distance 18/12 hours = 1 hour 30 min

The time will be 3:30 PM + 1 hour 30 min = 5 :00 PM

Answer:

The option [tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex] is correct

Step-by-step explanation:

Given equation is [tex]\frac{1}{3}(33-y)=135.2[/tex]

The option shows correct usage of distributive property is

[tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex]

( by distributive property [tex]a(x+y)=ax+ay [/tex] here [tex]a=\frac{1}{3}[/tex], x=33 and y=-y )

Therefore the option [tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex] is correct.

The correct use of the Distributive Property for the equation 1/3(33 - y) = 135.2 is to apply multiplication to each term inside the parentheses by 1/3, resulting in (1/3 * 33) - (1/3)y = 135.2.

The question is asking for the correct use of the Distributive Property when solving the equation 1/3(33 - y) = 135.2.

The correct application of the Distributive Property to solve the equation would involve multiplying both terms inside the parentheses by 1/3. Here's how the property is correctly applied:

(1/3 * 33) - (1/3 * y) = 135.2

(33/3) - (1/3)y = 135.2

11 - (1/3)y = 135.2

Hence, the correct option that uses the Distributive Property properly is:

(1/3 * 33) - (1/3)y = 135.2

Answer:

The population reaches 42,336 fish in 2258

Step-by-step explanation:

Given:

[tex]P = 0.62x^2 - 0.043x + 3[/tex]

To Find:

Time taken  to reach 42,336 = ?

Solution:

According to the question  x is the number of years after which the population .

Then

[tex]42336 = 0.62x^2 - 0.043x + 3[/tex]

[tex]0 = 0.62x^2 - 0.043x + 3- 42333[/tex]

[tex]0.62x^2 - 0.043x -42333[/tex] = 0

Solving using quadratic formula

[tex]x =\frac{ -b\pm \sqrt{b^2 -4ac}}{2a}[/tex]

[tex]x =\frac{ -(-0.043)\pm \sqrt{(-0.043) -4(0.62)(42333)}}{2(42333)}[/tex]

[tex]x =\frac{ -(-0.043)\pm \sqrt{(0.001849) -0.10664}}{84666}[/tex]

x=261.337                    x=−261.268

Neglecting the   negative value we get

x = 261.337

x =  261 approx

261 years after  1997  =  2258

To find the year when the population reaches 42,336 fish, solve the quadratic equation P = 42.336 by factoring, completing the square, or the quadratic formula.

To find the year when the population reaches 42,336 fish, we need to solve the equation P = 42.336.

First, rewrite the equation as a quadratic equation: 0.62x^2 - 0.043x + 3 = 42.336.

Then, solve the quadratic equation using factoring, completing the square, or the quadratic formula. The solution will give you the value of x, which represents the number of years since 1997. Add this value to 1997 to find the year when the population will reach 42,336 fish.

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When reflecting over y = -x

The x and y values change places and the signs change.

(-2,5) becomes (-5,2)

Answer:

(-5,2)

Step-by-step explanation:

hope this helps

Answer:

40%

Step-by-step explanation:

Percent is how much out of 100.

We have 2/5, so find equivalent fractions:

2/5 = 4/10 = 40/100

2/5 = 40%

Answer:

I am pretty sure it's −2.7710843373

Answer:

-2.771

Step-by-step explanation:

66*94 = 6,204 / 996=6.228-9 = -2.771

Option A: [tex]2^9[/tex]

Option E: [tex]2^{-2}.2^{11}[/tex]

Option F: [tex](2.2.2.2.2)(2.2.2.2)[/tex]

Solution:

Given expression is [tex]2^5.2^4[/tex].

To find which expression is equivalent to the given expression.

Option A: [tex]2^9[/tex]

Using exponent rule: [tex]a^b.a^c=a^{(b+c)}[/tex]

[tex]2^5.2^4=2^{(5+4)}=2^9[/tex]

Therefore [tex]2^9[/tex] is equivalent to the given expression.

Option B: [tex]2^{20}[/tex]

It is not equivalent to the given expression.

Option C: [tex]2.2^9[/tex]

[tex]2.2^9=2^{(1+9)}=2^{10}[/tex]

Therefore, It is not equivalent to the given expression.

Option D: [tex]2^{10}.2^2[/tex]

[tex]2^{10}.2^2=2^{(10+2)}=2^{12}[/tex]

Therefore, It is not equivalent to the given expression.

Option E: [tex]2^{-2}.2^{11}[/tex]

[tex]2^{-2}.2^{11}=2^{(2-11)}=2^9[/tex]

Therefore, It is equivalent to the given expression.

Option F: [tex](2.2.2.2.2)(2.2.2.2)[/tex]

[tex](2.2.2.2.2)(2.2.2.2)=2^5.2^4[/tex]

Therefore, It is equivalent to the given expression.

Hence option A, Option E and Option E are equivalent to the given expression.

Answer:

AEF

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

-4/4=-1

160%=1.6

1/5=0.2

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

-1+1.6+0.2

0.6+0.2

0.8

Answer:

175 calories.

Step-by-step explanation:

There are 600 calories with 240 from fat in a 6 inch personal pizza.

If we consider the number of calories in each inch of pizza to be constant.

Then, a 14 inch pizza will have [tex]\frac{600}{6} \times 14 = 1400[/tex] calories.

Now, a standard 14 inch pizza has 8 slices and if the 14 inch pizza is cut into 8 slices then in each slice there will be [tex]\frac{1400}{8} = 175[/tex] calories. (Answer)

The estimated number of calories in one slice of a 14-inch pizza, assuming it is cut into 8 slices, is 408 calories.

In this problem, we need to work with the concept of Ratios and Proportions in order to estimate the amount of calories in one slice of a 14-inch pizza. Firstly, we may want to calculate how many 6-inch pizzas fit into a 14-inch pizza. To do this we can use the formula for the area of a circle (πr²) where the r represents the radius.

For the 6-inch pizza, the radius is 3 inches, and for the 14-inch pizza, the radius is 7 inches. Therefore, according to the formula, we have:

Area of 6-inch pizza: π * 3² = 9π

Area of 14-inch pizza: π * 7² = 49π

By dividing the area of the 14-inch pizza by the area of the 6-inch pizza, we find that around 5.44 of 6-inch pizzas fit into the 14-inch pizza:

49π/9π = 5.44

So, the 14-inch pizza has roughly 5.44 times more calories than the 6-inch pizza, meaning it would have 600 calories * 5.44 = 3264 calories.

If you split the pizza into 8 slices, each slice of pizza would therefore have 3264 calories / 8 slices = 408 calories.

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Answer:54 when ever you have a positive and plus you always add

Step-by-step explanation:

Answer:

You should disagree with the student's claim.

The number of revolutions during a five-mile ride is 323.4

Answer:

The answer is D

Step-by-step explanation:

Answer:

D. $9x + $32 < $122

Step-by-step explanation:

given :

x is the number of visits

$9 is the cost per visit

$32 is the monthly dues

the amount she pays each month

= monthly dues + (cost per visit x number of visits)

= 32+ 9x  (rearrange)

= 9x + 32

given that she does not wish to spend more than $122, that means she wants to spend LESS than $122, i.e

amount spent < $122

or

9x + 32 < 122   (answer D)

Answer:7

Step-by-step explanation:

5x7=35

Answer:

Six

Step-by-step explanation:

What do we know?

1 lb pack = $2

3 lbs pack = $5

9 packs are purchased for $36

Solve

The biggest amount of 3-pound bags can be 7. That cannot be because that would be $35, and there are no 1-pound bags.

Go down to 6. 6 bags of 3 pounds would cost $30. You can also get 3 2-pound bags to get to 36. Cost is reached. 6+3 = 9. Number of bags reached.

six 3-pound bags

Answer:

They need $2655 to raise to cover the costs of the printing and meet their goal.

Step-by-step explanation:

Consider the provided information.

As a fundraiser it cost them $155 to print the tickets and they would like to make at least a $2500 profit

Let x (in dollar) represents the fund raised.

The money spent on printing ticket is $155.

The profit they would like to make at least is $2500.

Therefore, the required inequality is:

[tex]x-155\geq 2500[/tex]

Simplify the inequality.

[tex]x\geq 2500+155\\x\geq 2655[/tex]

Therefore, they need $2655 to raise to cover the costs of the printing and meet their goal.

Answer:

a = [tex]\frac{v+w}{k}[/tex]

Step-by-step explanation:

Given

ak = v + w ( isolate a by dividing both sides by k )

a = [tex]\frac{v+w}{k}[/tex]

Answer:

The right answer is A. 37

Step-by-step explanation:

Let's find the value of:

21 + 4(3² - 5)

21 + 4 * (9 - 5)

21 + 4 * (4)

21 + 16 = 37

The right answer is A. 37

Answer:

x=-1/8 or 3/8

Step-by-step explanation:

64x^2+16x-3=0

By Mid term breaking

64x^2-24x+8x-3=0

8x(8x-3)+1(8x-3)=0

(8x+1)(8x-3)=0

Either

8x+1=0 OR 8x-3=0

8x=-1 OR 8x=3

x=-1/8 OR x=3/8

Answer:

c ≥ 56   is the REQUIRED INEQUALITY.

Step-by-step explanation:

Here, the given  question is INCOMPLETE.

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.

Now, here:

The number of cans Xander needed to collect = At least 120

The number of items already collected =  64

c: the number of cans, c, that Xander must still collect.

Now, the number of cans to be collected  - Cans already collected  

=  120 - 64  = 56

So, the number of can he must collect to make a TOTAL OF AT LEAST 120 cans  =  56 cans

⇒ The number of cans to be collected ≥ 56 cans

⇒c ≥ 56 cans

or, c ≥ 56   is the REQUIRED INEQUALITY.

Answer:

c ≥ 56 is the REQUIRED INEQUALITY.

Step-by-step explanation: