7(1.02^x)=14(1.03^x)
x=

Answer:

3/2

Step-by-step explanation:

Simplify the following:

((4 + 1/5)×5)/14

((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:

((4 + 1/5)×5)/14

Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:

(((5×4)/5 + 1/5) 5)/14

5×4 = 20:

((20/5 + 1/5)×5)/14

20/5 + 1/5 = (20 + 1)/5:

(((20 + 1)/5)×5)/14

20 + 1 = 21:

(21/5×5)/14

21/5×5 = (21×5)/5:

((21×5)/5)/14

((21×5)/5)/14 = (21×5)/(5×14):

(21×5)/(5×14)

(21×5)/(5×14) = 5/5×21/14 = 21/14:

21/14

The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:

Answer:  3/2

Answer:

$2,880

Step-by-step explanation:

18 x 40 = 720 earned per week

720 x 4 (weeks) = 2880 earned in 4 weeks

Answer:

65 1/2 inches of ribbon is left, my exact work is shown on a piece of paper below if you need it.

Step-by-step explanation:

1 foot = 12 inches

6 x 12 = 72 inches

72 - (3 2/3 + 2 5/6) = ?

Answer:

30

Step-by-step explanation:

150/5 = 30

Answer: 30

Step-by-step explanation:

Answer:

11 buses

Step-by-step explanation:

If the car travel 54 kilometers per hour

To find the car's speed in kilometers per minute

we will first convert 1hour to minute

1 hour = 60 minute

Then

54/60 = 0.9 km per minute

The speed of the car is 0.9 kilometer per minute

The second part of the question

To find the number of kilometers travelled by the car in 20 minutes:

Let x be the number of kilometer travel by the car in 20 min

0.9 kilometer = 1 minute

X = 20 minute

cross-multiply

X = 20 x 0.9

X =18 kilometers

The car travels 18 kilo

Answer:

x+y=10

x+y=10-3

x+y=7

xy²=7

answer 7

hope that helps

Step-by-step explanation:

Brainliest?

Answer: 206

Step-by-step explanation: addion

Answer:

x = 10,8

Step-by-step explanation:

Raise both sides to the power of 2.

When the square root of a number is squared, the result is the original number.

Expand the square

Then you get x = 10,8.

Answer: 20

Step-by-step explanation:

A scale factor is simply the ratio between two corresponding units, therefore since the two fractions are set equal to each other, we can divide the numerator by each other. 20/1=20, so the answer is 20.

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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A relation may or may not represent a function.

The costs are given as:

(a) The mapping diagram

To do this, we simply point the number of movies, to the corresponding costs, using arrows

See attachment for the mapping diagram.

(b) Is the relation a function

From the attached mapping, we can see that:

The costs of each movie are different.

This means that: the relation is a function.

(c) Describe the pattern

Notice that as the number of movies increases, the cost also increases;

However, the unit cost decreases.

Hence, the unit cost of each movie decreases as the number of movies increases.

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Answer:

0.06

Step-by-step explanation:

3/50 can be turned into 6/100

6/100 = 0.06

Answer:

4 1/2 cups of flour

4 1/2 tablespoons baking powder

4 1/2 teaspoon salt

4 1/2 eggs

5 cups of milk

5 cups of blueberries

Step-by-step explanation:

Answer:

About 95% of individuals have IQ scores in the interval 100 ± 2 ( 15 ) = [ 70 , 130 ] .

Step-by-step explanation:

hope this helps

Answer:

              6. If 580 books were sold at the book fair, 203 of the books were fiction books.

              7. If 580 books were sold at the book fair, 87 of the books were comic books.

              8. If 580 books were sold at the book fair, 145 of the books were mystery books.

Step-by-step explanation:

              Before solving for the number of books sold for each book genre, first we must know what a percent is. A percentage number is a number expressed as a fraction divided by 100, and it is used to represent how much there is of something out of everything. For example, if you scored 87 on an 100 point test, you would have a score of \(\frac{87}{100}\) or 87%. Likewise, 87% can be rewritten as \(\frac{87}{100}\) or 0.87.

             Now that we understand what a percent is, we can solve the following practice problems. For question 6, we know that there are a total of 580 books that were sold at the book fair, and 35% of the 580 books sold were fiction books. Therefore, that must mean that there were a total of 580 × 35% = 580 × \(\frac{35}{100}\) = 203 fiction books sold. We can now apply this process to questions 7 and 8. There are 580 books sold total, and 15% of them were comic books, so there were a total of 580 × 15% = 580 × \(\frac{15}{100}\) = 87 comics books sold. Lastly, there were 580 books sold, and 25% of them were mystery books, that means there were a total of 580 × 25% = 580 × \(\frac{25}{100}\) = 145 mystery books sold.

Have a great day! Feel free to let me know if you have any more questions :)

A total of 8 workers are required for a building time of 15 days.

In this problem we find a case of inverse relationship, in which the number of workers (n) is inversely proportional to building time (t), in hours. The situation is represented by following formulas:

n ∝ 1 / t

n = k / t

Where k is the proportionality ratio, which can be eliminated by building the following formula:

n₁ · t₁ = n₂ · t₂

If we know that n₁ = 10, t₁ = 12 and t₂ = 15, then the required number of workers is:

n₂ = n₁ · (t₁ / t₂)

n₂ = 10 · (12 / 15)

n₂ = 10 · (4 / 5)

n₂ = 8

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a) The coefficient of variation (CV) for Brand A, is equals to the 2.8%.

b) The coefficient of variation (CV) for Brand B, is equals to the 2.0%.

c) Brand B, is more consistently produces tablets as advertised.

We have comparing data of consumer groups of vitamin C tablets of two brands. Tablets for each group were selected randomly. Data from above table, For brand A :

Tablets contains the quantity of vitamin C = 500 mg

Sample mean = 250

Standard deviation = 7

For brand B :

Tablets contains the quantity of vitamin C = 250 mg

Sample mean = 500

Standard deviations = 10

Cofficient of variation, CV is statistical parameter and it is the ratio of the standard deviation to the mean. Formula is, Coefficient of Variation (CV)

= (Standard Deviation/Mean) × 100.

a) To calculate the coefficient of variation (CV) for Brand A = (7/250 )×100

= 2.8%

b) To calculate the coefficient of variation (CV) for Brand B = (10/500 )×100

= 2.0%

c) As we see, Cofficient of variation of advertising for brand B is less than brand A. So, Brand B more consistently produces tablets as advertised.

Hence, required brand is brand B.

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Complete question:

consumer interest group is comparing two brands of vitamin C. One group advertises that its tablets contain 500 mg of vitamin C. The other advertises that its tablets contain 250 mg of vitamin C. Tablets for each group were selected randomly. The table above shows the results.Vitamin C Content (mg) Brand A (500 mg) x = 250s = 500Brand B (250 mg) x = 500s = 10

a) Calculate the coefficient of variation (CV) for Brand A (1point)

b) Calculate the coefficient of variation (CV) for Brand B (1 point)

c) Which brand more consistently produces tablets as advertised? (2 points) d) Explain your answer to c) above. (1 point)

Answer:

Step-by-step explanation:

To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.

For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).

You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).

I hope this helps! Let me know if you have any questions.

Answer:

60

Step-by-step explanation:

If 36 is the result of reducing the number by 40% then 36 is 60% of the number you can then division by 0.6 to get 60. 60. 100–40=60

Answer:

I'm just as confused as you are. I suck at math

Step-by-step explanation:

The number of cards Camila sold is 50cards

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”. For example if 10% of 200 students in a school are boys, the the number of boys in the school is 10/100× 200= 20students

Similarly Camila sold 10% of the card sold on mother's day. The number of cards sold on mother's day is 500.

Therefore Camila sold 10/100×500= 50cards

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Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Constant of proportionality is given as, k = y/x

To find the constant of proportionality of the table of values given, use any of the given pairs of values, say, (1, 4).

Thus, k = 4/1 = 4

Constant of proportionality = 4

Answer:

The constant of proportionality is 4

Step-by-step explanation:

For every 4 there is one, so for 2 there would be an 8, for 3 a 12, so on and so 'forth'.

The scale factor used is:

1 centimeter equals half millimiter.

The scale factor tells us how many units in the sculpture represent a real unit.

We know that:

Real length = 9mm

Length in the sculpture = 18cm

Then we have the relation between the lengths:

18cm = 9mm

Dividing both sides by 18 we will get:

1cm = 9mm/18

1cm = 0.5mm

So the scale is 1 centimeter equals half millimiter.

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Step-by-step explanation:

tossing 2 coins at the same time, or one coin twice is the same scenario.

anyway, a probability is always the ratio

desired cases / all possible cases

when having 2 coin tosses, there are 2×2 = 4 total possible results (each toss has 2 possibilities, so 2 tosses have them 2×2 = 4 possibilities) :

head head

head tails

tail head

tail tails

how many of these 4 possible cases show at least one head ?

3 : head-head, head-tails, tails-head

so the probability to get at least one head is

3/4 = 0.75

formally calculated we would get this by saying either

this is NOT 2 times tail.

the probability of 2 times tails is

1/2 × 1/2 = 1/4 = 0.25

the probability for NOT 2 times tails is then

1 - 0.25 = 0.75

or by saying

this is either heads on the first coin and tails on the other, or tails on the first coin and heads on the other, or heads on both.

the probability of heads on the first and tails on the other coin is

1/2 × 1/2 = 1/4

the probability of tails on the first and heads on the other coin is

1/2 × 1/2 = 1/4

the probability of heads on both coins is

1/2 × 1/2 = 1/4

so, the total probability of all 3 cases is

1/4 + 1/4 + 1/4 = 3/4 = 0.75

you see : for an exclusive "or" condition we add the probabilities. for an exclusive "and" condition we multiply the probabilities.

The Solution.

The given system of equations is

Equating both equations, we get

Solving the equation quadratically by Factorization Method.

We use 2x and - 5x to replace - 2x. we get

Factorizing, we get

Substituting -5 for x, in eqn(2), we get

Substituting 3 for x, in eqn(2), we get

Hence, the correct answers are (-5,19) or (3,3)

Answer:

x > -3

Step-by-step explanation:

4 - 4x < 16

- 4x < 16 - 4

- 4x < 12 (note that both can be divided by -4)

x > -3

That's the final answer.

AND if you're co fused about why the sign changed, you should always remember this

By negative num I mean any number that starts with a minus for example -2, -3, -5, -100