2 Fractions equivalent to 2/6

Answer: y = 5x

Step-by-step explanation:

The length of BC is approximately 5.72 miles and the length of AC is approximately 12.67 miles.

Let's represent the length of the side opposite angle A "BC" and the length of the side adjacent to angle A "AC". We can then use the sine function to find BC:

sin(A) = BC / AC

Substituting the given values, we get:

sin(24°) = BC / 14

We can use a calculator or look up the value of sin(24°) to get:

sin(24°) ≈ 0.406

Solving for BC, we get:

BC = 14 * sin(24°) ≈ 5.72

To find AC, we can use the cosine function:

cos(A) = AC / AC

Substituting the given values, we get:

cos(24°) = AC / 14

We can use a calculator or look up the value of cos(24°) to get:

cos(24°) ≈ 0.913

Solving for AC, we get:

AC = 14 x cos(24°) ≈ 12.67

Thus, BC is about 5.72 miles long while AC is about 12.67 miles in length.

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ1

Answer:

x = 98

Step-by-step explanation:

Solve for x:

(x - 14)/7 = 12

Multiply both sides of (x - 14)/7 = 12 by 7:

(7 (x - 14))/7 = 7×12

(7 (x - 14))/7 = 7/7×(x - 14) = x - 14:

x - 14 = 7×12

7×12 = 84:

x - 14 = 84

Add 14 to both sides:

x + (14 - 14) = 14 + 84

14 - 14 = 0:

x = 84 + 14

84 + 14 = 98:

Answer:  x = 98

Fátima tiene un total de $ 160, Gabriel tiene un total de $ 690 y José tiene un total de $ 230.

En este problema tenemos a tres personas, Fátima, Gabriel y José, que reúnen un total de $ 1.080. A continuación, traducimos las variables y ecuaciones asociadas a la situación:

x - Cantidad de dinero de Fátima.

y - Cantidad de dinero de Gabriel.

z - Cantidad de dinero de José.

Ecuaciones: Fátima, Gabriel y José tienen un total de $ 1080.

x + y + z = 1080

Gabriel tiene 3 veces lo que José tiene.

y = 3 · z

Fátima tiene $ 70 menos que José.

x = z - 70

A continuación, resolvemos el sistema de ecuaciones lineales:

x + y + z = 1080

(z - 70) + 3 · z + z = 1080

5 · z - 70 = 1080

5 · z = 1150

z = 1150 / 5

z = 230

x = z - 70

x = 230 - 70

x = 160

y = 3 · z

y = 3 · 230

y = 690

Para aprender más de sistemas de ecuaciones lineales: https://brainly.com/question/29142634

#SPJ1

Answer:

The pattern is that each number in the sequence is the previous number minus 1.5. For example, -5.5 is -4 minus 1.5, -7 is -5.5 minus 1.5, and so on.

Answer:

-1.5

Step-by-step explanation:

You take two of the variables in the pattern and subtract them with the second one being the minuend, and the first being the subtrahend.

For example we will use -4 and -5.5

(-5.5) - (-4) = -1.5

There is a negative sign present so it indicates subtraction towards the pattern.

Hence, the pattern change rate is -1.5

Answer:

D

Step-by-step explanation:

if you move the preimage on the image you can see that the two figures are equals

The equivalent equation of the equation given as 1/5x - 3 - 2/3 is 1/5x - 11/3

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

1\5x-3-2\3

The fractions can be properly expressed as

1/5x - 3 - 2/3

Next, we evaluate the difference between -3 and -2/3

So, we have the following representation

1/5x - 3 - 2/3 = 1/5x - (9 + 2)/3

Evaluate the like terms

So, we have the following representation

1/5x - 3 - 2/3 = 1/5x - (11)/3

Remove the brackets

This gives

1/5x - 3 - 2/3 = 1/5x - 11/3

Hence, the equivalent equation is 1/5x - 11/3

Read more about equivalent equation at

https://brainly.com/question/2972832

#SPJ1

TRUE: The given contrapositive statement are correct,

If m ≤ 3, then, m < 5.

For the stated conditional statement -

If m ≤ 3, then, m < 5.

Then, contrapositive statement for the given statement will be

(m < 5)' ⇒ (m ≤ 3)'

That is;

(m > 5) ⇒ (m > 3)

That is, if m> 5 then, m > 3, which is true.

Thus, the contrapositive statement for the given conditional statement is true.

To know more about the contrapositive statement, here

https://brainly.com/question/1713053

#SPJ1

Answer: The Tri-State Pick 3 lottery game offers a choice of several bets, including a "box" bet where you choose a three-digit number and win if the number you choose has the same digits as the winning number, in any order. The expected payoff for a $1 bet on the box is $83.33.

To find this expected value, we need to consider all the possible ways that the winning number could be chosen and calculate the probability of each outcome. Since the winning number is chosen at random, each of the 10 possible digits (0 through 9) is equally likely to be chosen for each of the three positions in the winning number.

Since the box bet pays off if the digits of your chosen number match the digits of the winning number, regardless of their order, the number of winning combinations is equal to the number of ways to arrange the three digits of the winning number. This is equal to 3! (3 factorial), which is equal to 6.

Since there are a total of 10 possible digits for each position and the winning number has three positions, there are a total of 10 x 10 x 10 = 1000 possible winning numbers. Of these, 6 will pay off for a box bet, so the probability of winning a box bet is 6/1000 = 0.006.

Since the expected value of a bet is equal to the probability of winning multiplied by the payoff, the expected value of a $1 bet on the box is 0.006 x $83.33 = $0.05. Therefore, the expected payoff for a $1 bet on the box is $0.05.

Answer:

5

Step-by-step explanation:

2 +3 = 5    

The numbers of the atoms of each element are;

6 atoms of carbon, 12 atoms of oxygen

12 atoms of hydrogen, 6 atoms of oxygen

6 atoms of carbon, 12 atoms of hydrogen, 6 atoms of oxygen

12 atoms of oxygen

In a chemical reaction, there is the combination of the atoms of the reactants and a consequent recombination as the products are formed. In accordance with the law of the conservation of mass, we know that the number of atoms before reaction must be equal to the number of atoms after reaction.

Now we have to look at the atoms and count up the number of atoms of each element in each of the compounds and this is how we are able to obtain the number of each atom as shown above.

Learn more about reaction:https://brainly.com/question/28984750

#SPJ1

The odds ratio for the association between exposure to emf's and breast cancer would be (11/5) / (108/436) = 2.2.

1. Calculate the odds of exposure for cases: 11/5 = 2.2

2. Calculate the odds of exposure for controls: 108/436 = 0.25

3. Divide the odds of exposure for cases by the odds of exposure for controls: 2.2/0.25 = 8.8

4. Finally, the odds ratio for the association between exposure to EMF's and breast cancer is 2.2.

The odds ratio for the association between exposure to EMF's and breast cancer can be calculated by dividing the odds of exposure for cases by the odds of exposure for controls. To calculate this, first take the number of cases exposed (11) and divide it by the number of cases not exposed (5). This will give the odds of exposure for cases (2.2). Second, take the number of controls exposed (108) and divide it by the number of controls not exposed (436). This will give the odds of exposure for controls (0.25). Finally, divide the odds of exposure for cases (2.2) by the odds of exposure for controls (0.25). This will give the odds ratio for the association between exposure to EMF's and breast cancer (2.2).

Odds ratio = (11/5) / (108/436) = 2.2

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ4

Answer:

The value of x is (y + 3)/2

Step-by-step explanation:

y = 2x - 3

y + 3 = 2x - 3 + 3

y + 3 = 2x

2x/2 = (y + 3)/2

x = (y + 3)/2

Thus, The value of x is (y + 3)/2

Answer:

x = (y + 3)/2

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ y = 2x - 3

Then the value of x will be,

→ y = 2x - 3

→ 2x - 3 = y

→ 2x = y + 3

→ x = (y + 3)/2

→ x = (y/2) + (3/2)

Hence, answer is x = (y + 3)/2.

Answer:

Sum of 12-sided polygon=1800°

Measure of each interior angle of a regular12-sided polygon=150°

Answer:

24 Inches

Step-by-step explanation:

The length of a piece of wood that uses 8 nails as required in the task content is; 24 inches.

What is the length of a piece of wood that uses 8 nails?

It follows from the task content that the length of a piece of wood that uses 8 nails is to be determined from the task content.

Examples of unit rates are Dollars per pound calories and earnings per hour. The rest is not the unit rate.

What is the unit rate?

An item's unit rate is its price for one of them. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. 70 yards in 10 seconds and 7 yards in 1 second are both ratios, although only the latter is a unit rate.

Earnings per hour are a unit rate since it is calculated for an hour.

Dollars per pound calories is a unit rate.

Serving $25.50 for 5 gallons is not a unit rate, the cost is for 5 gallons. If the cost is for 1 gallon then it will unit rate.

To learn more about rate, click on the below link:

https://brainly.com/question/29781084

#SPJ1

Answer:

1.) 0.25

2.) 0.50

3.) 0.125

4.) 2.25

Step-by-step explanation:

When turning percentages into decimals, you move the decimal point two places to the left.

EX:

25%

25.0 (move the decimal point two places to the left)

2.5

.25

0.25 (add any zeros if necessary)

Hope this helps!!

It doesn't matter where the decimal point is in a percentage, as long as you move the point two places to the left, you are still turning it into a decimal.

Answer:

1. $19.80

2. 0.92

3. 40.87

4. 119.94

5. 7.41

6. 0.615

Step-by-step explanation:

1. $3.96 x 5 = $19.80

2. 0.023 x 40  

⇒ 0.023 x 10 = 0.23

⇒ 0.23 x 4 = 0.92

3. 0.67 x 61

⇒ 0.67 x 1 = 0.67

⇒ 0.67 x 60 = 40.2

⇒ 0.67 + 40.2 = 40.87

4. $19.99 x 6

⇒ 19.99 x 6 = 119.94

5. 0.13 x 57

⇒ 0.13 x 50 = 6.5

⇒ 0.13 x 7 = 0.91

⇒ 6.5 + 0.91 = 7.41

6. 0.041 x 15

⇒ 0.041 x 10 = 0.41

⇒  0.041 x 5 = 0.205

⇒ 0.41 + 0.205 = 0.615

To learn more about multiply refer to:

https://brainly.com/question/28839233

#SPJ1

By solving a linear equation, it can be calculated that

Each club can order 21.1 cupcakes if they both have the same amount of

money to spend

What is a linear equation?

Equation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by an equal to sign

A one degree equation is called linear equation

Let the number of cupcakes ordered by each club be c

The band would like to order cupcakes from Walmart at a cost of $3.35 per cupcake and a $13.00 order fee

Total amount spent = $(13 + 3.35c)

The orchestra would like to order cupcakes from Publix at $2.90 each

and a $22.50 order fee

Total amount spent = $(22.5 + 2.90c)

By the problem,

The linear equation is

13 + 3.35c = 22.5 + 2.90c

3.35c - 2.90c = 22.5 - 13

0.45c = 9.5

c = 21.1

This solution is not viable as the number of cupcakes must be an integer not a decimal.

To learn more about linear equation , refer to the link-

https://brainly.com/question/2030026

#SPJ1

From the given options, option 2. x= -8 is the correct option. Here, the x is change in height in inches so the, change in height is -8 inches.

A linear equation is simply an equation with the highest degree always being 1. The standard form of a linear equation in one variable is Ax + B = 0. x is a variable in this equation, and A and B are constants. A two-variable linear equation has the standard form Ax + By = C. The variables x and y are variables, their coefficients A and B are variables, and C is a constant.

Given, linear equation is

[tex]4(2x+1)=6x-12\\\\8x+4=6x-12\\\\8x-6x=-4-12\\\\2x=-16\\\\x=-8[/tex]

Hence, the x equals to -8.

To learn more about linear equation refer here

https://brainly.com/question/29739212

#SPJ4

Answer:

To determine the test statistic for this problem, we need to first calculate the standard error of the mean. This is given by the formula:

Standard error of the mean = Standard deviation / sqrt(n)

where n is the number of samples in the population. In this case, the standard deviation is 1 minute and the number of samples is 20, so the standard error of the mean is equal to 1 / sqrt(20) = 0.22.

We can now use this value to calculate the test statistic, which is given by the formula:

Test statistic = (Sample mean - Population mean) / Standard error of the mean

In this case, the sample mean is 3.7 minutes, the population mean is less than 3.5 minutes, and the standard error of the mean is 0.22. Since the population mean is less than 3.5 minutes, we will use 3.5 as the value for the population mean in our calculation. Plugging these values into the formula, we get:

Test statistic = (3.7 - 3.5) / 0.22 = 0.22 / 0.22 = 1

Therefore, the test statistic for this problem is 1. This value indicates that the sample mean is slightly higher than the population mean, but not by a significant amount.

Answer: 68600

hope it helps!

Answer:

Step-by-step explanation:

the answer is 11/12

[tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex] is the monthly payment

What is Compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

According to given question:

Principle Amount (P) = $200, 000

Rate(r) = 4% yearly

Rate(r) = 4/12 % Monthly

Rate(r) = 1/3 % Monthly

Time = 20 years = 240 months

⇒ 240 is the number of payment needed to pay

n = 240

Therefore, the monthly payment needed to pay

⇒         [tex]m = \frac{P.r}{1-(1-r)^{-n} }[/tex]

  ⇒     [tex]m = \frac{200000.1/3}{1-(1-1/3)^{-240} }[/tex]

   ⇒    [tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex]

To learn more about Compound interest , check out

https://brainly.com/question/14295570

#SPJ1

When Ms. Hall is buying Ms. Ward some gifts for Christmas as described in the problem,

the Constant: $90 and $7

the Coefficient: $7

the Equation:  $90 + $7x

Information form the problem shows that

one big gift that will cost $90

some small gifts that cost $7 each

the constant in this case is the price of the gifts

$90 and $7

the coefficient is $7

the equation is

$90 + $7x

where x is the number of the small gifts

Learn more about equations at

https://brainly.com/question/22688504
#SPJ1

Answer:

It is 11-9/16

Step-by-step explanation:

Answer:

should be angle 7, 1, and 3

hope i could helpppp

Answer: 1 , 7 , 3

Step-by-step explanation:

The angles that habe the same measurement of angle 5 are;

1 , 7 , 3

Because the lines are parallel, these angles correspond to angle 5.

Answer:

i think 2/21 i think im wrong

Step-by-step explanation: