Sergio wants to buy both chicken and ham to serve at a holiday dinner. Chicken costs $4.29 per pound, and ham costs $6.99 per pound. The maximum amount Sergio can spend is $88.00. If x represents the number of pounds of chicken Sergio buys, and y represents the number of pounds of ham he buys, which inequality represents this situation?

Answer:

The 2-litter bottle is the better buy because it is less expensive than two of the 1-litter bottles of soda.

Step-by-step explanation:

You know that a 1-litter bottle of soda cost $0.99. So, if you want to buy 2 liters of soda you can perform the following calculation:

2 bottles of a 1-litter bottle of soda * price of a 1-litter bottle of soda

2*$0.99= $1.98

So, if you want to buy 2 liters of soda by acquiring 2 1-litter bottle of soda, you must pay $ 1.98.

On the other side, you know that a 2-litter bottle of soda costs $1.59.

Comparing, you can see that the price of 2 1-liter bottles is more expensive than the price of a 2-liter bottle, with a difference of:

$1.98 - $1.59= $0.39

In others words, the 2-litter bottle is the better buy because it is less expensive than two of the 1-litter bottles of soda.

Answer:

wire

Step-by-step explanation:

Answer:

24 meters

Step-by-step explanation:

I hope this helps!

Answer:

24 meters

Step-by-step explanation:

you do 6 times 4

Answer:

HERES THE ANSWER

Step-by-step explanation:

0 = 5.00

5 = 11.25

8 = 15.00

10 = 17.50

30 = 42.50

also to understand it easier. # 1.25 times (whatever number), then take whatever that equals and add it to 5.00 ! (works for any question, just substitute the numbers)

To create a table for the values when x is given value, you can put those value in given function and can calculate what does y evaluates to.

The corresponding values of y are:

\(\begin{array}{cc}x&y\text{(In dollars)}\\0&5\\5&11.25\\8&15\\10&17.5\\30&42.5\end{array}\right\)

Values of y for values of x as x = 0, 5, 8, 10, 30

\(y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=0}\\ y = 1.25 \times 0 + 5\\ y = \$5\\ \\ \)

\(y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=5}\\ y = 1.25 \times 5 + 5\\ y = \$11.25\\ \\ \)

\(y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=8}\\ y = 1.25 \times 8 + 5\\ y = \$15\\ \\ \)

\(y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=10}\\ y = 1.25 \times 10 + 5\\ y = \$17.5\\ \\ \)

\(y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=30}\\ y = 1.25 \times 30 + 5\\ y = \$42.5\\ \\ \)

Thus, the corresponding values are:

\(\begin{array}{cc}x&y\text{(In dollars)}\\0&5\\5&11.25\\8&15\\10&17.5\\30&42.5\end{array}\right\)

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the answer is 3x²

Step-by-step explanation:

we know that k = 3x

when we look at the actual equasion we can se that y = kx, meaning we have to multiply x by 3x which would give us 3x²

Answer:  the answer is 3x^2 three x to the power of 2

For the given ellipse, the height of the ceiling at the center is 5 meters.

From the properties of an ellipse, we know that the distance from the center to one of the foci is a, and the distance from the center to one of the vertices is b. We can find these values using the equation of an ellipse:

(x²/a²) + (y²/b²) = 1

At the center of the gallery, x = 0, and we know that the major axis length is 36 meters, so b = 18 meters. We can solve for a by using the fact that the distance between the two foci is 10 meters:

2a = 36 - 10 = 26

a = 13

Therefore, the distance from the center to one of the foci is 13 meters, and the distance from the floor to the same focus is 13 - 5 = 8 meters.

Thus, the height of the ceiling at the center of the gallery is 13 - 8 = 5 meters.

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Answer:

Total APROBADOS = 41 estudiantes

Step-by-step explanation:

Total personas que tomaron el examen = 100 % = 48

Porcentaje personas reprobadas = 15 %

Luego,

Total personas reprobadas = (15%)*48

Total personas reprobadas =  (0.15)*48 = 7.2 aprox 7

Luego restando del total de estudiantes, los reprobados, tendrás los APROBADOS:

Total APROBADOS = 48 - total reprobados

Total APROBADOS = 48 - 7

Total APROBADOS = 41

Answer:

\(f(t) = 4100( {2}^{ \frac{t}{2} }) \)

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

70 percent

Step-by-step explanation:

140/200 = 7/10 = 0.7 = 70 percent

Step-by-step explanation:

To determine if a system of two equations with two unknowns has infinite solutions using matrices, you can perform Gaussian elimination or row reduction on the augmented matrix of the system. If the reduced form of the matrix is the identity matrix, then the system has a unique solution. If the reduced form is a row of zeros except for the last column, then the system has no solution. If the reduced form has a row with all zeros except for the last column being non-zero, then the system has an infinite number of solutions.

In other words, the system has infinite solutions if the row reduced form of the augmented matrix has a row of the form [0 0 c], where c is a non-zero scalar. This means that there is a non-trivial solution that satisfies the equation, indicating that there are infinitely many solutions.

Answer:

3rd option) 48°

Step-by-step explanation:

Finding x:

  [Equation] 115 = (53 - 2x) + (27 - 3x)

  [Distribute] 115 = 53 - 2x + 27 - 3x

  [Combine like terms] 115 = 80 - 5x

  [Subtract 80 from both sides] 35 = -5x

  [Divide both sides by -5] x = -7

Finding ∠TRS:

  [Equation] 27 - 3x = ∠TRS

  [Plug-in x] 27 - 3(-7) = ∠TRS

  [Multiply] 27 + 21 = ∠TRS

  [Add] 48° = ∠TRS

          [] See attached for an explanation of why I set up the equation the way I did

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Step-by-step explanation:

10 hours - 2 hours 25 minutes - 3 hours 35 minutes

Lets just do this

2 hours 25 minutes + 3 hours 35 minutes

25 minutes + 35 minutes = 60 minutes

60 minutes = 1 hour

now we have 2 hours + 3 hours + 1 hour

2 + 3 +1  = 6

now we have 10 hours - 6 hours

10 - 6 is 4

4 hours.

The missing side of a right triangle, from the figure, is 33.1 meters long.

A right triangle has three sides, what are they?

An "opposite" side in a right triangle is the one that is across from a specific angle, while an "adjacent" side is the one that is next to a specific angle. The hypotenuse seems to be the longest side in a right triangle. The sides in right triangles are described with particular terminology.

We can apply the tangent function in order to calculate the length of the missing side if we assume that it is opposite the 43-degree angle that is provided:

tan(43°) = x/34

When we multiply all sides with 34, we get:

x = 34 tan(43°)

Using just a calculator, we determine:

x ≈ 33.1

Rounded to the nearest tenth, we obtain:

x ≈ 33.1

Hence, the missing side of the given triangle is x = 33.1.

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The complete question is in the attached figure.

Answer:

E. \( \purple { \bold{ \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}\)

Step-by-step explanation:

\( \int \sqrt{ \frac{x - 1}{ {x}^{5} } } dx \\ \\ = \int \sqrt{ \frac{x - 1}{ {x}^{4} .x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ \frac{x - 1}{ x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx \\ \\ let \: 1 - \frac{1}{ x} = t \\ \\ \implies \: \frac{1}{ {x}^{2} } dx = dt \\ \\ \implies \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx = \int \sqrt{t} dt \\ \\ = \int {t}^{ \frac{1}{2} } dt \\ \\ = \frac{t ^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} t ^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \sqrt{ {t}^{3} } + c \\ \\ = \frac{2}{3} t\sqrt{ {t} } + c \\ \\ = \frac{2}{3} (1 - \frac{1}{x} ) \sqrt{1 - \frac{1}{x} } + c \\ \\ \red{ \bold{= \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}\\ \\ \)

Answer:

Step-by-step explanation:

24-6=18

now 2022 so

2022-18=2004

Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225

D. 12,386, if you do the math thats what is equals

Answer:

you have to change the sign from - to +

Step-by-step explanation:

-1.8 + k = 8.2

k = 8.2 + 1.8

k = 10

Answer:

sorry this is the way that I usually solve these kinds of problems but, She forgot to make -1.5 into a positive. if that makes sense

Answer:

To calculate the edge length, take the cube root of the total volume of the cube.

Step-by-step explanation:

hope this helps ! :)

The formula that shows the dependence of the edge length 'a' on volume V of a cube will be a = ∛V.

All the edges of the cube are congruent with each other. Suppose that: The side length of the considered cube is 'a' units. Then, we get:

Volume of that cube = a³ cubic units.

Solve the equation for 'a', then we have

V = a³

a³ = V

a = ∛V

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Pairs of numbers that have the same greatest common factor are: (12, 18) and (12, 30) and (18, 30) with a greatest common factor of 6.

The largest positive integer that divides two or more numbers without producing a remainder is known as the greatest common factor (GCF).

To find the greatest common factor (GCF) of two numbers, we need to find the largest number that divides both of them.

Let's start by listing the factors of each number:

12: 1, 2, 3, 4, 6, 12

18: 1, 2, 3, 6, 9, 18

20: 1, 2, 4, 5, 10, 20

30: 1,  2,  3,  5,  6,  10,  15,  30

Now we can compare the pairs of numbers and see which ones have the same GCF:

GCF(12, 18) = 6

GCF(12, 20) = 4

GCF(12, 30) = 6

GCF(18, 20) = 2

GCF(18, 30) = 6

GCF(20, 30) = 10

So the pairs that have the same GCF are:

12 and 18, with a GCF of 6

12 and 30, with a GCF of 6

18 and 30, with a GCF of 6

Therefore, Pairs of numbers that have the same greatest common factor are: (12, 18) and (12, 30) and (18, 30) with a GCF of 6.

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Answer:

Lets say there's a quadratic equation → ax² + bx = -c

Lets make one side zero which gives → ax² + bx + c = 0

From the above equation ,

For example :- x² - 12x = -35.

Lets make one side zero → x² - 12x + 35 = 0 . Now, lets break -12x into two real numbers 'p' & 'q' such that p + q = -12x & pq = 35. Prime factors of 35 are 1 , 5 & 7. If we take 5 & 7 as 'p' & 'q' then p + q = 5 + 7 = 12. but as we need -12 , the values of 'p' & 'q' are -5 & -7.

⇒ \(x^2 -5x - 7x + 35 = 0\)

⇒ \(x(x - 5) - 7(x - 5) = 0\)

⇒ \((x - 5)(x - 7) = 0\)

⇒ \(x = 5 \: or \: 7\)

Lets take another example :- x² + 4x = 1.

Lets make one side zero → x² + 4x - 1 = 0 . Now , lets split +4x into into two real numbers 'p' & 'q' such that p + q = +4x & pq = -1 . Prime factors of 4 are 1 & 2 only. But there's no such combination of its primes such that their sum would be equal to 4. So, the quadratic equation can't be solved by factorisation method. Now, lets bring -1 to Right Hand Side & try solving by completing squares method.

⇒ \(x^2 + 2 \times x \times 2 + 2^2 = 1 + 2^2\)

⇒ \((x + 2)^2 = 1 + 4 = 5\)

⇒ \(x + 2 = +\sqrt{5} \: \: or \: -\sqrt{5}\)

⇒ \(x = (\sqrt{5} - 2) \: or \: (-\sqrt{5} -2)\)

Conclusion:

First try making one side zero and try to solve the equation by factorisation method. If it got factorised , then you are done and if it didn't get factorised , then solve it by completing squares method.

Answer:

I'm assuming we're asking about the difference between:

\(ax^2 + bx + c = 0\)

and

\(ax^2 + bx = -c\)

Let's preface this by stating the obvious: there's no actual difference. Both equations are equivalent.

Now, it has a lot to do with our goal. Sometimes our goal is to write an equation concisely (then the "no-zero" way uses less characters), and sometimes we're dealing with a quadratic function of

\(y = ax^2 + bx + c\)

in the second case, we wouldn't write

\(y - c = ax^2 + bx\)

because it'd be confusing. That means that when we're looking for y=0 points of a quadratic equation, the way to convey that goal is that we're looking for the point where \(ax^2 + bx + c = 0\) - so we preserve the structure of the quadratic function.

your question is very difficult to answer

Answer:

x = 250

Step-by-step explanation:

∠ ABC = 180° - 55° = 125°

The angle at the centre x is twice the angle on the circle , that is

x = 2 × ∠ ABC = 2 × 125 = 250

Answer:

$40.32

Step-by-step explanation:

I believe you add 25.32 to 15.00 to find out how much she had for her grades.

Answer:

$40.32 is what she got for her good grades.

Step-by-step explanation:

Simply:

$25.32 + $15.00

= $40.32

ANSWER

C. 12

EXPLANATION

1/3 of the pizzas is:

Therefore, 6 pizzas were cheese and the rest were pepperoni:

There were 12 pepperoni pizzas.

Answer:The total number of tennis ball did store sell in all is 948 

Step-by-step explanation:

Answer:

r = 8

Step-by-step explanation:

you start by distributing the 5 to r and -7 to get 3 over 5r - 37. You can then multiply both sides by 5r-37 to get 3 = 5r-37. From here you can add 37 to both sides to get 40 = 5r. From there you divide both sides by 5 to get r = 8

Answer:

r= 8

Step-by-step explanation:

Point A represents -4, point D represents 1³/₄, and 1³/₄ > -4. Then the correct option is A.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

Given that:

The points are located on the number line which is shown.

The location of points A, B, C, and D will be -4, -2¹/₂, 1, and 1³/₄, respectively.

Thus, the correct option is A.

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Answer:

3:37

Step-by-step explanation:

Since it started 18 minutes before it ended, you need to subtract 18 minutes from 3:55 which makes the starting time 3:37 P.M

Answer:

3:37

Step-by-step explanation:

If you subtract 18 from 55, you get 37.