What is 71/5 as a decimal

Answer:

Step-by-step explanation:

Answer:

y=2, x=4

Step-by-step explanation:

sin60=2sqrt3/x

so x = 2sqrt3/sin60

and x=4

for the value of y, use pythagorean theorem to get

16=y^2+12

which gives you y=2

Answer:

2x>16

Step-by-step explanation: 2x divided by 2>16divided by 2; x>8

Answer:

7 tickets

Step-by-step explanation:

First, do 173 - 5 which is 168

Then, divided 168 by 24

That is equal to 7

You and ur friends ordered 7 tickets!

Hope this helps! :)

Answer:

sk,m

Step-by-step explanation:

Answer:

a=1.34

b=-10

>10

Step-by-step explanation:

Answer:

1 \(\frac{5}{11}\) should be your answer.

Answer:

= 16/11

Step-by-step explanation:

4/3 11/12

=4/3 11/12

= (4/3)(12/11)

= (4)(12)(3)(11)

= 48/33

= 16/11

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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Answer: Point P

Step-by-step explanation: over 2 up 1 (2,1)

Answer: M

Step-by-step explanation:

Answer:

12q=1200

12q/12=1200/12

q=100

1 quintal has 100 kg. The equation above was to show how to solve it with a variable. Hope this helps!

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

False, through any three points not on the same line, there is exactly one plane, but three points on the same line could be in separate planes.

Hope this helps :)

The slope of the line represents the speed in miles per hour

The y intercept represents the initial distance

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

The graph

Where, we have

x = time in hours

y = distance in miles

The slope is

slope = change in y/x

So, we can conclude that the slope is the speed

By definition, the y intercept is the initial value of the graph

In this case;

y intercept = initial distance

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Answer:

b. Divided

Step-by-step explanation:

Step-by-step explanation:

Your answer is option b. Because when 8 is divided by 6 the quotient is around 1.333

Step-by-step explanation:

First we will Rearrange after replacing 9 with 6

1 3 3 6 6 6 6 6 8 8

Mode = 6

Answer:

12.   m∠C = 100° and m∠F = 100°

13.   m∠S = 89° and m∠U = 89°

Step-by-step explanation:

Question 12

The two triangles ΔABC and ΔDEF have two of their angles equal:
m ∠A = m ∠D

m∠B = m∠E

Therefore the third angles must be equal:
m∠C = m∠F

m∠C = (4x²)° and m∠F = (3x² + 25)°

Setting these two right side expressions in parentheses equal to each other gives
4x² = 3x² + 25
4x² - 3x² = 25
x² = 25
x = ±√25 = ±5

Ignoring the negative value we get
x = 5

Therefore
m∠C = (4x²)° = (4 · 5²)° = (4 · 25)° = 100°

Since, m∠F = m∠C ,
m∠F  = 100°

But we can double check
m∠F = (3x² + 25)° = (3 · 5² + 25)° = (3 · 25 + 25) = (75 + 25)° = 100°

Question 13

This is similar to question 12

The quadrilateral RSTU is divided into two triangles ΔRST and Δ RUT

We are given
m∠RTS = m∠TRU

m∠TRS = m∠RTU

Therefore the third angle of ΔRST must be equal to the third angle of Δ RUT

In other words,
m∠S= m∠U

Plugging in the expressions for each of these angles we get

(5x - 11)° = (4x + 9)°

Set the expressions inside parens equal to each other and solve for x:
5x - 11 = 4x + 9

5x - 4x - 11 = 9    (subtract 4x from both sides)
x - 11 = 9

x = 11 + 9  (add 11 both sides)

x = 20

m∠S= (4x + 9)° = (4 · 20 + 9)° = (80 + 9)° = 89°

Therefore m∠RUT is also 89°

but we can double-check
m∠U= (5x - 11)° = (5 · 20 - 11)° = (100 - 11)° = 89°

Answer:

i dont know  if this the answer for the first on x=1.45454545455 and the other on is 3s

Step-by-step explanation:

Answer:

  (d)  (1, 2)

Step-by-step explanation:

You want to know which of the given points satisfies the inequality.

We find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)

__

Additional comment

Another way to choose the answer is to try each of the points in the inequality.

If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).

You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.

11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).

Step-by-step explanation:

the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the

Answer:

12 ≥ x - 7

Step-by-step Explanation:

When it says twelve is at least, it means that twelve is at least equal to something and it can also be greater. And when it says a number decreased by seven, it means a number, which is the variable x because it’s unknown, minus 7. All of this can be expressed as 12 ≥ x - 7, which is true because a number, which is x, minus 7, is the smallest “thing” that 12 can equal to.

I hope you understand and that this helps with your question! :)

Answer:

  19 or 26

Step-by-step explanation:

You want the value of 3n² -8n -9, given that n(n -3) = 10.

We recognize that 10 = 5·2 and that these factors differ by 3. This means n(n -3) = 10 is equivalent to saying n ∈ {-2, 5}.

The value of 3n² -8n -9 will be one of ...

  (3n -8)n -9 = (3(-2) -8)(-2) -9 = (-14)(-2) -9 = 19 . . . . for n = -2

or

  (3(5) -8)(5) -9 = (7)(5) -9 = 26 . . . . . . . for n = 5

The expression 3n² -8n -9 will be either 19 or 26.

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Answer:

Slope = 1 Y-intercept=4

Step-by-step explanation:

The equation of the line of given slope and point is y = 2x + 12. The solution has been obtained by using the slope-intercept form.

What is slope-intercept form?

The graph of the equation y = mx + b is the line with m as its slope and b as its y-intercept. The slope-intercept form of the linear equation is used when the values of m and b are real integers.

We are given the slope as 2 and which is passing through the point (6,24).

We need to first find the y-intercept using y = mx + b

⇒y = mx + b

⇒24 = 2(6) + b

⇒24 = 12 + b

⇒b = 12

The equation in the slope-intercept form is

y = mx + b

This gives equation as y = 2x + 12.

Hence, the equation of the line of given slope and point is y = 2x + 12.

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According to the information provided, it should be noted that the 750 seniors in her school make up the population of interest, and the parameter of interest is the percentage of seniors who intend to attend the prom.

Given,

Additionally, a strictly random sample is required in order to create a confidence interval. Additionally, the sample size should be examined to see if it adequately represents the population.

Using the z critical of 1.645, a 90% confidence interval will be built. The sample proportion in this case will be:

= 36/50 = 0.72

Q = 1 - 0.72 = 0.28

n = 50

As a result, the standard error will be equal to 50 squared times the multiplication of 0.72 and 0.28. This amounts to 0.0635.

For a big sample randomly selected among 750 seniors, the interval on the context suggests that we are 90% confident that the fraction of those who desire to attend the prom falls within the interval.

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From the calculation below, the probability that a tourist will spend more than $250 on the 2 legs of the trip is 2/3.

From the question, the number of possible options available and their total amount is as follows:

Airplane and Van = $350 + $60 = $410

Airplane and Cab = $350 + $40 = $390

Bus and Van = $150 + $60 = $210

Bus and Cab = $150 + $40 = $190

Train and Van = $225 + $60 = $285

Train and Cab = $225 + $40 = $265

From the above, it can be observed that we have a total number of 6 different options available and 4 of the options are more than $250.

Therefore, we have:

Probability of spending more than $250 = Number of options that are more than $250 / Total number of different options = 4/6 = 2/3

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Answer:

2(5x-16) or 10x-32

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Options A, B and C  are the same:

2/3 is two-thirds (that how we read the fraction in English) and is 0.66666... (a decimal is sometimes permissible)

But most common and most used is a fraction

So, the answer is A

Answer:

$586.00

Step-by-step explanation:

Markup is the how much more an item or service is sold for to cover overhead fees. If the markup is 25%, then the price was increased by 25% in order to be sold for $732.50. We can set up a proportion to represent this where c is the cost.

\(\frac{732.5}{1.25} = \frac{c}{1.00}\)

Cross-multiply.

1.25c = 732.5

c = 586

So, the cost of the item was $586.00

Answer:

3x+x^2-6

Step-by-step explanation:

Have a great rest of your day.

Bye

\(\textbf{a)}\\\\~~~\sqrt{81 + 18 \sqrt 7 +7}\\\\=\sqrt{9^2 +2\cdot 9\cdot \sqrt 7+ \left(\sqrt 7 \right)^2}\\\\=\sqrt{\left(9+\sqrt7 \right)^2}\\\\=9+\sqrt 7\)

\(\textbf{b)}\\\\\sqrt{25 - 10 \sqrt 3 + 3}\\\\=\sqrt{5^2 - 2 \cdot 5 \cdot \sqrt 3 + \left(\sqrt 3 \right)^2}\\\\=\sqrrt{\left(5 - \sqrt 3 \right)^2}\\\\=5-\sqrt 3\)

\(\textbf{c)}\\\\\sqrt{29-12\sqrt 5}\\\\=\sqrt{\left(2\sqrt 5 \right)^2-2\cdot 3\cdot 2\sqrt 5+3^2}\\\\=\sqrt{\left(2\sqrt 5 -3 \right)^2}\\\\=2\sqrt 5 - 3\)

\(\textbf{d)}\\\\\sqrt{ 8+ 2\sqrt{15}}\\\\=\sqrt{\left(\sqrt 5 \right)^2 + 2\cdot \sqrt{5 } \cdot \sqrt{3} +\left(\sqrt 3 \right)^2 }\\\\=\sqrt{\left(\sqrt 5 + \sqrt 3 \right)^2}\\\\=\sqrt 5 + \sqrt 3\)

Answer:

65/100 that is the answer to this question

well, if we take $2100 to be the 100%, what's $273 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 2100 & 100\\ 273& x \end{array} \implies \cfrac{2100}{273}~~=~~\cfrac{100}{x} \implies \cfrac{100}{13}=\cfrac{100}{x}\implies 13=x\)