A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point?

Using a system of equations, it is found that she attempted two questions incorrectly.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this question, the variables are:

Sreya scored 30 marks, with 16 correct questions, hence, considering the amount of points for each question, we have that:

2x - y = 30.

Since x = 16:

32 - y = 30

y = 2.

She attempted two questions incorrectly.

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The amount of calories in each serving of the meal given the amount of calories in 6 servings is 894 calories.

Division is the process of obtaining the quotient of a number by grouping a number into equal parts using another number. The sign used to denote division is ÷.

Calories in each serving = total calories / number of people

5364 / 6 = 894 calories

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Answer:

  24.3°

Step-by-step explanation:

A suitable calculator can add the vectors directly. (See attached.) In this calculation, bearing angles are measured clockwise from north, so the initial vector has an associated angle of 0 degrees.

__

We can find the angle of interest by considering the distances north and east that city C is from city B. The relevant trig functions are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

__

The direct distance from B to C is the hypotenuse of a right triangle whose right angle is at point "D" due north of B and due west of C. The distances of interest are ...

  sin(57°) = DC/BC

  DC = BC·sin(57°) = (108 km)sin(57°) ≈ 90.5764 km

  cos(57°) = BD/BC

  BD = BC·cos(57°) = (108 km)cos(57°) ≈ 58.8210 km

__

And the angle of interest can be found from ...

  tan(θ) = DC/AD = (90.5764 km)/(142 km +58.8210 km) ≈ 0.451031

  θ = arctan(0.451031) ≈ 24.3°

The pilot could have flown on a bearing of 24.3° to get to city C directly from city A.

_____

Additional comment

We can ignore the fact that bearing angles are measured CW from north, while conventional angles on a Cartesian plane are measured CCW from "east" (+x). Each coordinate system can be mapped to the other by flipping the map over along a NE-SW line (y=x), aligning the +x axis with north and the +y axis with east.

The diagram we used in working this problem is shown in the second attachment.

Answer:

takis

Step-by-step explanation:

everyone in gen z loves takis for some reason

Answer:

B, Irrational number

Step-by-step explanation:

Irrational number because

[tex]\pi[/tex]

is Irrational number

The percentage of the total cost of 23 separate tickets that George saves by buying a season ticket is 23%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As the cost of the separate ticket is £24, and there are a total of 23 games, therefore, the total cost of the 23 games separate ticket can be written as,

=  £24 × 23

=  £552

Now, the cost of the season ticket is £425, therefore, the percentage of the total cost of 23 separate tickets that George saves by buying a season ticket can be written as,

[tex]\rm Percentage = \dfrac{\text{Total cost of 23 seperate ticket}-\text{Cost of season ticket}}{\text{Total cost of 23 seperate ticket}} \times 100\%[/tex]

[tex]\rm Percentage = \dfrac{552-425}{552} \times 100\% = \dfrac{127}{552} \times 100\% = 23\%[/tex]

Hence, the percentage of the total cost of 23 separate tickets that George saves by buying a season ticket is 23%.

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Answer:

you cant do that, you can only get to 96 by multiplying 24 by 4, ill keep trying tho if you really need this

Step-by-step explanation:

Answer:

  $33 per hour

Step-by-step explanation:

"Time and a half" means the overtime rate is 1 1/2 times the base rate.

  overtime rate = (1 1/2) × $22/hour = $(22 +1/2(22))/hour = $33/hour

The correct overtime rate is $33 per hour.

Answer:

G is the answer hope that helpd

The amount of wax that Maria will need to fill up the cylinder in this scenario is 12pi cm3 which is denoted as option A.

This is defined as a a three-dimensional solid that holds two parallel bases joined by a curved surface usually at a fixed point and the volume is  πr²h where r is radius and h is height.

Volume = πr²h

             = π × 2² × 3

             = 12π cm³

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Answer:

its A

Step-by-step explanation:

The population of seniors who plan to attend community college is; 115.

According to the task content;

On this note, the number of seniors who want to attend community college among the 320 seniors is;

On this note, it follows that the number of seniors who want to attend community college is; 115 seniors.

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Using the binomial distribution, it is found that there is a 0.056 = 5.6% probability that more than 7 will make a purchase.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that more than 7 will make a purchase is given by:

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12).

Hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{12,8}.(0.4)^{8}.(0.6)^{4} = 0.042[/tex]

[tex]P(X = 9) = C_{12,9}.(0.4)^{9}.(0.6)^{3} = 0.012[/tex]

[tex]P(X = 10) = C_{12,10}.(0.4)^{10}.(0.6)^{2} = 0.02[/tex]

[tex]P(X = 11) = C_{12,11}.(0.4)^{11}.(0.6)^{1} \approx 0[/tex]

[tex]P(X = 12) = C_{12,12}.(0.4)^{12}.(0.6)^{0} \approx 0[/tex]

Then:

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.042 + 0.012 + 0.02 + 0 + 0 = 0.056.

0.056 = 5.6% probability that more than 7 will make a purchase.

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Answer:

about 16°

Step-by-step explanation:

Make sure your calculator is in degree mode.

Drawing the right triangle, we see that the shorter leg is 34 meters, and the longer leg is 122 meters. So the angle of elevation is:

[tex] \tan( \alpha ) = \frac{34}{122} [/tex]

[tex] \alpha = { \tan }^{ - 1} \frac{34}{122} = 15.57[/tex]

Answer:  16

Step-by-step explanation:

got it right on edge :)

~Denki Kaminari here~

so what we're going to do is, find the cost of wrapping paper per foot,

6.03 divided by 9 = 0.67

now we're going to convert the 9ft into yards,

1 yard= 3ft so, there are 3 yards.

now that we know that there are 3 ft in one yard, we are going to multiply 0.67 by 3

0.67x3= 2.01

so, we got $2.01 per yard

hope this helps :D

Answer:

$630

Step-by-step explanation:

They raised 70% of $900.

70% of $900 = 70% × $900 = 0.7 × $900 = $630

1- Ferald follows school rules
2- Lex and Jaye are gems
3- Jay loves adbobo and beef stew
4- Jake's best friend is his dog
5- Kim has self-discipline

Answer:

Option a :- 2x+32 = 60

Step-by-step explanation:

Formula to calculate perimeter:-- P=2(l+w)

2(l+w) = P

2l + 2w = P

2x + 2(16) = 60

2x + 32 = 60

[tex] \therefore [/tex] The equation that represents this problem = 2x+32 = 60

Answer:

=> 24m²

Step-by-step explanation:

Area of small rectangle = l×b

=> 2m× 3m

=> 6m²

Area of large rectangle = L×B

=> 9m × 2m

=> 18 m²

Area of figure = area of small rectangle + area of large rectangle

=> 18 m² + 6m ²

=> 24m²

Answer:

The correct value of z crit for this test is +1.645

Step-by-step explanation:

The slope of the h(x) is 4x as the value of x increases the slope of h(x) will approach to the infinity.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The functions are given below.

[tex]\rm f(x) = 4x+ 50\\\\ g(x) = 3x - 4 \\\\h(x) = 2x^2+ 9x- 4[/tex]

The slope of the f(x) and g(x) will be 4 and 3 respectively.

And the slope of the h(x) is 4x as the value of x increases the slope of h(x) will approach to the infinity.

The graph is shown below.

More about the slope link is given below.

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Answer: Approximately 0.0003047

As a fraction, it is equal to exactly 792/(2,598,960)

===========================================================

Explanation:

The king of spades must be in the hand, and we can pick any other king. There are 3 ways to pick the other king. Then there are 4 C 2 = 6 ways to pick the two queens. The 4C2 refers to the nCr notation. Or you could use Pascal's Triangle.

Overall, there are 3*6 = 18 ways to pick the king of spades, another king, and exactly 2 queens.

Then we have one more card to pick that isn't a king nor a queen. There are 4+4 = 8 cards that are either a king or queen, leaving 52-8 = 44 cards that are neither.

So there are 18*44 = 792 ways to pick a king of spades, another king, exactly 2 queens, and some other card that isn't a king nor queen.

This is out of 52C5 = 2,598,960 possible five card hands.

The probability we're after is roughly 792/(2,598,960) = 0.0003047

Side note: order does not matter with card hands.

Answer:

94.1 cm^3 to nearest tenth.

Step-by-step explanation:

Each hour 100 - 10 = 90% of the gas remains.

90% = 0.90.

At 0 hours the volume = 300 cm^3

The equation is

Amount (V) after x hours = 300(0.90)^x.

The amount after 11 hours:

V = 300(0.90)^11

= 94.14

Answer:

y = 300(0.9)^x

94.1 cm³

Step-by-step explanation:

This is an exponential decay.

y = 300(0.9)^x

where x is the number of hours, and y is the amount after x hours.

y = 300(0.9)^11

y = 94.1

Answer: b+95+34=180, b+129=180, 51

Step-by-step explanation:

b+95+34=180 works because the angles add to form a straight angle.

From this, we can obtain b+129=180 by adding the two constants.

Subtracting 129 from both sides, we get b=51.

Answer:

25

Step-by-step explanation:

If you divide by eight, it is equivalent to five cords per minutes.

Now you know that she plays five cords per minute, right?

So you want to multiply five by five, because she plays a total of five minutes.

Answer:

[tex]\text Explicit \ Formula :\ a_{n}= 1000\times (\frac{1}{5}) ^{n-1}[/tex]

Step-by-step explanation:

Let [tex]\left( a_{n}\right)[/tex]  be our geometric sequence

The explicit formula for [tex]\left( a_{n}\right)[/tex] is :

 [tex]a_{n}= a_1\times r^{n-1}[/tex]

where r is the common ratio

          a1 is the first term

We notice that :

200/1000 = 1/5

40/200 = 1/5

⇒ r = 1/5

[tex]a_1 = 1000\ \ (given)[/tex]

Conclusion:

[tex]a_{n}= 1000\times (\frac{1}{5}) ^{n-1}[/tex]