The sum of three times a number and 2.

The cost of purchasing the number of shirts after discount and sale tax is $40.3125.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The discount is 25%.

The total price before the coupon is $50.

The sale tax is 7.5%

The cost of purchasing the number of shirts after discount will be

\(\rm Cost = 50*(1-0.75 )\\\\Cost = 97.5\)

The cost of purchasing the number of shirts after the sale will be

\(\rm Cost = 37.5*(1.075)\\\\Cost = 40.3125\)

The cost of purchasing the number of shirts after discount and sale tax is $40.3125.

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Answer: A=12

Step-by-step explanation:

Shoe Sizes:                            Frequency:
3                                              11
4                                              A
5                                              7

The frequency is how many people have the shoe sizes. For example, 11 people have shoe size 3, and 7 people have shoe size 5. Since 30 people's shoe sizes were recorded, 30 - (11+7) will be the answer.

30 will be from the 30 people whos shoe sizes were recorded. The 11 will be from the people with shoe size 3, and the 7 will be from the people with shoe size 5. So, 30 - 18 = 12.

12 people have shoe size 4.

Answer:

Step-by-step explanation:

Cost of the camera at one store,

Down payment = $49

Per month payment = $20

Duration of the payment = 12 months

Total payment to be done = down payment + payments to be done in 12 months

= 49 + (20×12)

= 49 + 240

= $289

Cost of the camera at second store,

Equation describing the payment plan,

y = 15x + 79

Here, x = number of months

y = Total amount to be paid

If x = 12 months

y = (15×12) + 79

y = 180 + 79

y = $259

The camera at the second store is cheaper when the camera is paid off in 12 months because the cost at the first store is $289 and the cost at the second store is $259.

The time when the concentration of the chemical in the tank is 0.8 lb/gal is 36.31 minutes.

Let C be the concentration of the chemical in the tank and V be the volume of the tank.

Initially, V = 100 gal and C = 40 lb/100 gal = 0.4 lb/gal.

Let t be the time in minutes.

The rate of change of C is given by:

dC/dt = (5*3.5 lb/gal - 7*C)/V

Solving the differential equation, we get:

C = 0.4 + 0.6e^(-7t/100)

Setting C = 0.8 lb/gal, we get:

0.8 = 0.4 + 0.6e^(-7t/100)

=> 0.6e^(-7t/100) = 0.4

=> e^(-7t/100) = 0.67

=> -7t/100 = ln 0.67

=> t = 100*ln0.67/-7

=> t = 36.31 minutes

Therefore, the time when the concentration of the chemical in the tank is 0.8 lb/gal is 36.31 minutes.

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(x - 6 = 5\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

I am assuming that '3=x divided by 3' is supposed to be \(3 = \frac{x}{3}\).

⸻⸻⸻⸻

The first, second, and fourth equations have x divided by a number. To isolate x, we would have to use the multiplication property of equality.

⸻⸻⸻⸻

For the third one (\(x-6=5\)), the variable 'x' is being subtracted by 6. We would have to use the addition property of equality to isolate x.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The number of wins is 68 ad losses is 26.

Let the number of losses = l

Therefore, the number of wins will be: = (2 × l) + 16 = 2l + 16

Total games = 94

Therefore we will add the equation

l + 16 + 2l = 94

3l + 16 = 94

3l = 94 - 16

3l = 78

Divide

l = 78/3

l = 26

Losses = 26

Number if wins = 2l + 16 = 2(26) + 16 = 52 + 16 = 68

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Answer:

30

Step-by-step explanation:

30 ..................

Samuel's average speed during his morning training is 0.41 miles/minute.

Here we have to find the average speed of Samuel. We can solve this problem by following a few steps.

According to the problem, Samuel was preparing for the triathlon. He did 3 activities every morning; ran for 30 minutes, covered 4.5 miles; swam for 20 minutes, covered 2.3 miles biked for 45 minutes, and covered 9 miles.

We have to recall the formula of average speed as,

average speed = total covered distance/ total time

The total distance which has been covered is,  

The total covered distance is, ( 4.5 + 2.3 + 9 ) = 36.5 miles.

The total time which has been spent is,

The total spent time is, (30+ 20+ 40) = 90 minutes.

Now, we can easily calculate the average speed. Which is (36.5/90) = .41 miles/minute.

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Answer:

32 songs

Step-by-step explanation:

60 - 12 = 48

48 ÷ 1.5 = 32

32 songs

The range of the given graph is [5, ∞).

Range.

Range refers the set of possible output values, and if we have the graph, then the set of all possible y values on the graph is defined as the range.

Given,

Here we have the graph.

Through the given graph we have to find the range of the line.

As per the definition of range, we have identified that the range take the value of y axis.

While we lookin into the given graph, we have identified that the starting point of the line is

=> (0, 5)

In this point 0 refers the x coordinate and 5 refers the y coordinate. So, the starting range is 5.

And the end of the line is not pointed.

So, we can consider that this line goes infinitely.

So, the range of the graph is  [5, ∞).

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Answer:

50

Step-by-step explanation:

For x number of newspapers, their earnings are:

D = 5 + 0.04x

J = 2 + 0.10x

5 + 0.04x = 2 + 0.10x

3 = 0.06x

x = 50

Answer:

(A)1/3

Step-by-step explanation:

probability of getting a 2 = 1/6

probability of getting a 6 = 1/6

so the probability of getting a 2 or a 6

=(probability of getting a 2+probability of getting a 6)

=(1/6+1/6)

=2*(1/6)

=1/3

The required measures of m ZAED, mZDAE, and mZBCE are 37°, 143°, and 37°, respectively.Rhombus: A rhombus is a quadrilateral with four sides of equal length and opposite angles with equal measures.

Quadrilateral ABCD is a rhombus, with the following angles:

mZEDA = 37

Given a rhombus, it is expected that all sides have equal length, so;

ZEDA is a straight angle, the sum of all angles in a straight line is 180°.

∴m ZDEA = 180 - mZEDA = 180 - 37 = 143°

From the definition of a rhombus, all sides are equal in length and all angles are equal in measure.

Thus,mZEDA = mZDEA = mZDAB = mZCBA = 37°

Since mZDEA = 143°, then; m ZAED = 180 - mZDEA = 180 - 143 = 37°

∵ZADE is a straight angle

∴ mZDAE = 180 - mZAED = 180 - 37 = 143°

∵ ZBCE is a straight angle

∴ mZBCE = 180 - mZDEA = 180 - 143 = 37°.

Hence the required measures of m ZAED, mZDAE, and mZBCE are 37°, 143°, and 37°, respectively.

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Answer:

x1 = 1.54

x2 = -4.54

Step-by-step explanation:

just use calculator

Answer:

 x=36, y=54

Step-by-step explanation:

Since 3x and 2x are on the same line, they add up to 180

3x+2x = 180

    5x  =  180

       x  =  36

y = 2x (corresponding angles)

y = 2 (36)

y = 54

Answer:

9/10 1/2 1/8 0.25 0.6

Step-by-step explanation:

The fan should expect the red team to win 7 fewer games than the blue team in the season.

Based on the given probabilities, the fan believes that the probability of the red team winning a game is 0.70 and the probability of the blue team winning a game is 0.75. To find out how many fewer games the fan should expect the red team to win, we need to calculate the difference in the probabilities and then multiply it by the total number of games in the season.

The expected number of wins for the red team can be calculated by multiplying the probability of winning (0.70) by the total number of games (140):

Expected red team wins = 0.70 * 140 = 98.

Similarly, the expected number of wins for the blue team can be calculated:

Expected blue team wins = 0.75 * 140 = 105.

The difference in wins can be calculated by subtracting the expected red team wins from the expected blue team wins:

Difference in wins = Expected blue team wins - Expected red team wins = 105 - 98 = 7.

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To find the point on the surface 6x = y^2 + z^2 where its tangent plane is parallel to a given plane, we need to find a point on the surface and determine the normal vector of the surface at that point.

Then, we can compare the normal vector of the surface to the normal vector of the given plane to check if they are parallel.

Let's first find a point on the surface by substituting a value for either y or z and solving for x. Let's choose y = 0:

6x = 0^2 + z^2

6x = z^2

x = z^2/6

So, one point on the surface is (z^2/6, 0, z).

To find the normal vector of the surface at this point, we can calculate the partial derivatives with respect to x, y, and z:

∂/∂x (6x) = 6

∂/∂y (y^2 + z^2) = 0

∂/∂z (y^2 + z^2) = 2z

The normal vector is then N = (6, 0, 2z) = (6, 0, 2z) / ||(6, 0, 2z)||, where ||N|| represents the magnitude of N.

To determine if the tangent plane is parallel to a given plane, we compare the normal vector of the surface to the normal vector of the given plane. If they are parallel, their direction vectors should be proportional.

If the given plane is parallel to the xy-plane and has a normal vector N_1 = (0, 0, 1), we can compare it to the normal vector of the surface. In this case, we see that the z-component of N (2z) is not proportional to the z-component of N_1 (1). Therefore, the tangent plane of the surface at the chosen point is not parallel to the given plane.

To find a point on the surface where its tangent plane is parallel to the given plane, we would need to choose a different point on the surface such that the normal vector of the surface at that point is parallel to the given plane's normal vector.

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Answer:

  x° ≈ 58.0°

Step-by-step explanation:

Given a right triangle with an acute angle marked x°, the adjacent side marked 9, and the hypotenuse marked 17, you want the measure of the angle.

You are given the side adjacent to the angle, and the hypotenuse. The mnemonic SOH CAH TOA reminds you that ...

  Cos = Adjacent/Hypotenuse

  cos(x°) = 9/17

The angle is found using the inverse cosine function.

  x° = arccos(9/17)

  x° ≈ 58.0°

The measure of the angle marked x° is about 58.0°.

__

Additional comment

You will notice the calculator is set to DEG mode, so the angle is given in degrees.

Answer:

angle x° is equal to 58.03°

Step-by-step explanation:

Using pythagorean theorem, we can find the length of opposite side being the square root of 17²-9² which is 14.42. After you would use inverse tan (Tan^-1) and put in 14.42/9 and get the answer.

The Trigonometric function that can be used to find the value of x is; x = 12/tan(25)

The triangle given is a right triangle and the angle given is 25°.

The side opposite the given angle is; 12 units.

Hence, it follows from Trigonometry that;

Hence, x = 12/tan(25).

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Answer:

75.6 ounces

Step-by-step explanation:

Step one.

Given data

we are told that the original quantity of food is 63 ounces

and the increase is in food is by 20%

Step two:

let us find the increase in ounces

=20/100*63

=0.2*63

=12.6 ounces

Hence the amount of food in the bag now is

=12.6+63

=75.6 ounces

Answer:

-6

Step-by-step explanation:

-4+8=4

4-10= -6

Answer:

Below

Step-by-step explanation:

To find the missing amount of lemonade you can use this equation:

     water = x(lemonade)       

     63 = x35

     1.8 = x

Now we know the value of x, we can use this to find the lemonade mix at 45 cups of water :

     45 / 1.8 = 25

Therefore, 25 tbsp of lemonade is required to mix with 45 cups of water

Hope this helps! Best of luck <3

Answer:

Let X be 2

Now,

y = 5*2 - 8

or, y= 10-8

or, y =2

Hope this will help please mark me as brainlest.

Answer:

\(m=\frac{1}{2}\)

Step-by-step explanation:

The average rate of change (m) for the given line segment can be found with

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Given the graph, the following values can be recorded:

\((x_1,y_1)=(-1,-5)\\(x_2,y_2)=(1,-4)\)

So,

\(m=\frac{(-4)-(-5)}{(1)-(-1)}\\m=\frac{-4+5}{1+1}\\m=\frac{1}{2}\)

This answer makes sense in both sign and scale with the given image.

Hyponatremia is associated with overhydration and dehydration. Hyponatremia is a condition characterized by low levels of sodium in the blood.

While options a and c (insufficient intake of dietary calcium and excessive intake of dietary sodium) may have an impact on overall health, they are not directly linked to hyponatremia. The correct associations for hyponatremia are overhydration (b) and dehydration (d).

Overhydration, or water intoxication, occurs when the body takes in more water than it can excrete. This dilutes the concentration of sodium in the blood, leading to hyponatremia. Overhydration can be caused by excessive fluid intake, particularly in cases of endurance sports or drinking large amounts of water without proper electrolyte balance.

On the other hand, dehydration can also contribute to hyponatremia. When the body loses more water than it takes in, the sodium levels in the blood become relatively higher, resulting in diluted sodium concentration. This can occur due to excessive sweating, vomiting, diarrhea, or certain medical conditions.

In both cases, the balance of fluids and electrolytes in the body is disrupted, leading to low sodium levels and the development of hyponatremia. It is important to maintain a healthy fluid intake, ensuring a proper balance of water and electrolytes, to prevent these conditions and maintain overall well-being.

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A pair of dice is rolled.

Each dice has 6 outcomes.

So, the total number of outcomes for a pair of dice is 6×6 = 36

These 36 outcomes are given below

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

The probability that you roll an even number is given by

There are 9 such outcomes where you can have an even number

(2, 2) (2, 2) (2, 6) (4, 2) (4, 4) (4, 6) (6, 2) (6, 4) (6, 6)

The probability that you roll a 3 is given by

There are 11 such outcomes where you can roll a 3

(1, 3) (2, 3) (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6) (4, 3) (5, 3) (6, 3)

Finally, the probability that you roll an even number or a 3 is

Therefore, the probability is 5/9

The correct option is A) 5 – 1 ≠ 1 – 5  shows why the commutative property doesn't work under subtraction

The commutative property works for addition and multiplication. It says that when adding or multiplying, you can switch the order of the numbers around and still get the same answer.

For instance, in simple terms, the commutative property of addition states that changing the order of the addends will not change the sum. That is, a + b = b + a.

Similarly, the commutative property of multiplication states that changing the order of the factors will not change the product. That is, a × b = b × a.

However, the commutative property does not work for subtraction and division. You cannot change the order of numbers around and still get the same answer when you're subtracting or dividing. In other words, the order of the numbers matters in these cases.

That is, a - b ≠ b - a; a / b ≠ b / a.Here, the options C and D are not valid since they both represent addition operations, whereas the question demands subtraction. Between options A and B, A represents the subtraction operation and the result for this option is not the same as the result for the reverse subtraction operation which is why A is the right option.

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Answer:

Not enough information to solve for one set of fractions that add to 35.  See below.

Step-by-step explanation:

Let M and N be the 2 denominators.

We are told that both fractions have 1 as their numerator.  That means our factions are:

1/M and 1/N

We are told that (1/M + 1/N) = 35

But without any more information, I don't see how this could be solved.

For example, if M = 0.1:

(1/M + 1/N) = 35

(1/0.1 + 1/N) = 35

(10 + 1/N) = 35

1/N = 25

N = 1/25

------

(1/M + 1/N) = 35

(1/0.1 + 1/(1/25)) = 35

(10 + 25) = 35

But if M = 0.01,    

(1/M + 1/N) = 35

(1/0.01 + 1/N) = 35

100 + 1/N = 35

1/N = -75

N = -(1/75)

Both are valid, as many (infinite) others.                                                                                                                                                                                                              

The solutions of the quadratic equation are:

x = (-1 + i√23)/4

x = (-1  - i√23)/4

For a general quadratic:

a*x^2 + b*x + c = 0

The solutions are given by the quadratic formula

\(x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\)

Here we have the quadratic equation:

2x^2 + x + 3 = 0

\(x = \frac{-1 \pm \sqrt{1^2 - 4*2*3} }{2*2} \\\\x = \frac{-1 \pm \sqrt{-23} }{4}\)

So we will have two complex solutions, these are:

x = (-1 + i√23)/4

x = (-1  - i√23)/4

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