A 4-gallon jug of milk costs $5.60. At what price should a 1/2 "-gallon" jug be sold for unit rate for both containers to be the same

Answer : 1/4ab

◊ YusuCr ◊

The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

The function in this problem is given as follows:

y = 3x² + 1.

The implicit derivative, relative to the variable t, is given as follows:

dy/dt = 6x dx/dt.

(the derivative of the constant 1 is of zero).

The parameters for this problem are given as follows:

x = 4, dy/dt = 2.

Hence the derivative is obtained as follows:

2 = 6(4) dx/dt

dx/dt = 2/24

dx/dt = 1/12.

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The cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

To find the cost per pound of each type of meat, we can set up a system of equations based on the given information.

Let's denote the cost per pound of rib steak as 'x' and the cost per pound of hamburger meat as 'y'.

From the first statement, we know that:

2x + 6y = 12.30 ---(Equation 1)

From the second statement, we know that:

3x + 2y = 9.70 ---(Equation 2)

Now we can solve this system of equations to find the values of 'x' and 'y'.

Multiplying Equation 1 by 3 and Equation 2 by 2 to eliminate the 'x' term, we get:

6x + 18y = 36.90 ---(Equation 3)

6x + 4y = 19.40 ---(Equation 4)

Subtracting Equation 4 from Equation 3, we get:

14y = 17.50

Dividing both sides by 14, we find:

y = 1.25

Substituting the value of 'y' back into Equation 1, we can solve for 'x':

2x + 6(1.25) = 12.30

2x + 7.50 = 12.30

2x = 4.80

x = 2.40

Therefore, the cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.

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Answer: The slope for this line is not defined.

Step-by-step explanation: We can find the slope of a line using the formula m = y2 -y1/x2 - x1

here, (x1,y1) = (-7,4)

and, (x2,y2) = (-7,-8)

now, m= -8-4/-7+7

        m = -12/0

        So, the slope for this line is not defined as we are getting zero in the denominator.

9x +14

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Using properties of square,

a. Equation for total area = 2x² - 16x + 64

b. Area will be minimum for the value of x = 0

c. Minimum area will be 64cm².

With four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. The equal sides and 90° internal angles of each square form serve as indicators of its identity.

Total length of wire = 32cm.

Now side of one square is given as x.

Perimeter of big square will be = 4x.

Now perimeter of small square = 32- 4x.

Side of small square = (32-4x)/4

= 4(8-x)/4

= 8-x

Area of big square = x × x

= x².

Area of small square = (8-x) ².

Now Total area, A(x) = x² + (8-x) ²

= x² + 64 + x² - 16x

= 2x² - 16x + 64

The side length that will minimize the area will be, x = 0.

Minimum area of the total figure will be = 64cm²

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Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

The steps for constructing a copy of an angle:

Step 1: Draw the angle.

Step 2: Place the center of the protractor on the vertex of the angle.

Step 3: Line up the baseline of the protractor with one of the angle's rays.

Step 4: Read the degree measure where the other ray crosses the protractor.

Step 5: Draw a ray from the vertex of the angle to the right.

Step 6: Use a ruler to mark the same distance on the ray that was just drawn.

Step 7: Draw a ray from the vertex through the point just marked on the ray.

This is the copy of the angle's second ray.

Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.

Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.

Step 10: Draw a ray from the vertex through the point where the two arcs intersect.

This is the copy of the original angle.

Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the

compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.

Draws another arc that intersects the previous arc at a point without adjusting the compass.

Draw a second arc that intersects the first arc at another point, keeping the compass latitude.

Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

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Answer:

The correct answer is "9√2 units".

Step-by-step explanation:

The given equations are:

⇒ \(3x^2-y^2=3\)...(equation 1)

⇒ \(y+x-5=0\)...(equation 2)

According to the 2nd equation, we get

⇒ \(y+x-5=0\)

⇒              \(y=5-x\)

On substituting the value of "y" in the 1st equation, we get

⇒  \(3x^2-y^2=3\)

     \(3x^2-(5-x)^2=3\)

     \(3x^2-(25+x^2-10x)=3\)

     \(2x^2+10x-28=0\)

On taking common, we get

     \(x^2+5x-14=0\)

On applying factorization, we get

     \(x^2+7x-2x-14=0\)

   \(x(x+7)-2(x+7)=0\)

           \((x+7)(x-2)=0\)

                        \(x+7=0\)

                              \(x=-7\)

or,

                         \(x-2=0\)

                                \(x=2\)

Now,

The points are:

(-7, 12) = (x₁, y₁)

(2, 3) = (x₂, y₂)

By using the distance formula, the length of chord will be:

= \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

On substituting the values in the above formula, we get

= \(\sqrt{(2-(-7))^2+(3-12)^2}\)

= \(\sqrt{(9)^2+(-9)^2}\)

= \(\sqrt{81+81}\)

= \(9 \sqrt{2}\) units

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

The reciprocal of the divisor: Reciprocal and division of fractions are two different methods. When the numerator and denominator of a fraction are interchanged, then it is said to be its reciprocal. Suppose a fraction is a/b, then its reciprocal will be b/a. A fraction is a numerical quantity that is not a whole number.

The reciprocal of the divisor 5 1/5 divided by 1/10

To the reciprocal of the divisor.

Equation: 5 1/5 divided by 1/10

1st: Flip the 1/10 to become 10/1

2nd: Change division to multiplication

New equation: 5.1/5.10/1

⇒ 50/5

       ⇒ 10.

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

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Answer:

\(y=x^2+18x+79\)

\(y=(x+9)^2-2\)

Step-by-step explanation:

We want to find a function of the form:

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

We know that it passes through the three points: (-11, 2); (-9, -2); and (-5,14).

In other words, if we substitute -11 for x, we should get 2 for y. So:

\((2)=a(-11)^2+b(-11)+c\)

Simplify:

\(2=121a-11b+c\)

We will do it to the two other points as well. So, for (-9, -2):

\(\begin{aligned}(-2)&=a(-9)^2+b(-9)+c\\\Rightarrow-2&=81a-9b+c\end{aligned}\)

And similarly:

\(\begin{aligned}(14)&=a(-5)^2+b(-5)+c\\\Rightarrow 14&=25a-5b+c\end{aligned}\)

So, to find our function, we will need to determine the values of a, b, and c.

We essentially have a triple system of equations:

\(\begin{cases}2=121a-11b+c\\-2=81a-9b+c\\14=25a-5b+c\end{cases}\)

To approach this, we can first whittle it down only using two variables.

So, let's use the First and Second Equation. Let's remove the variable b. To do so, we can use elimination. We can multiply the First Equation by 9 and the Second Equation by -11. This will yield:

\(\begin{cases}{\begin{aligned}9(2)&=9(121a-11b+c)\\-11(-2)&=-11(81a-9b+c)\end{cases}}\)

Distribute:

\(\begin{cases}18=1089a-99b+9c\\22=-891a+99b-11c\end{cases}\)

Now, we can add the two equations together:

\((18+22)=(1089a-891a)+(-99b+99b)+(9c-11c)\)

Simplify:

\(40=198a-2c\)

Now, let's do the same using the First and Third Equations. We want to cancel the variable b. So, let's multiply the First Equation by 5 and the Third Equation by -11. So:

\(\begin{cases}{\begin{aligned}5(2)=5(121a-11b+c)\\-11(14)=-11(25a-5b+c)\end{cases}\)

Simplify:

\(\begin{cases}10=605a-55b+5c\\-154=-275a+55b-11c\end{cases}\)

Now, let's add the two equations together:

\((10-154)=(605a-275a)+(-55b+55b)+(5c-11c)\)

Simplify:

\(-144=330a-6c\)

Therefore, we now have the two equations:

\(\begin{cases}40=198a-2c\\-144=330a-6c\end\)

Let's cancel the c. So, multiply the First Equation by -3. We don't have to do anything special to the second. So:

\(-3(40)=-3(198a-2c)\)

Multiply:

\(-120=-594a+6c\)

Now, add it to the Second Equation:

\((-120+-144)=(-594a+330a)+(6c-6c)\)

Add:

\(-264=-264a\)

Divide both sides by -264. So, the value of a is:

\(a=1\)

Now, we can use either of the two equations above to obtain c. Let's use the first one. So:

\(40=198a-2c\)

Substitute 1 for a:

\(40=198(1)-2c\)

Solve for c. Subtract 198 from both sides and divide by -2:

\(\begin{aligned}40&=198-2c\\ -158&=-2c \\79 &=c \end{aligned}\)

So, the value of c is 79.

Finally, we can find b. We can use any of the three original equations. Let's use the First Equation. So:

\(2=121a-11b+c\)

Substitute 1 for a and 79 for c and determine the value of b:

\(\begin{aligned}2&=121(1)-11b+(79)\\2&=121+79-11b\\2&=200-11b\\-198&=-11b\\18&=b\end{cases}\)

Therefore, the value of b is 18.

So, our equation is:

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

Substitute in the values:

\(y=(1)x^2+(18)x+(79)\)

Simplify:

\(y=x^2+18x+79\)

Now, let's put this into vertex form. To do so, we will need to complete the square. First, let's group the first two terms together:

\(y=(x^2+18x)+79\)

To complete the square, we will divide the b term by 2 and then square it.

b is 18. 18/2 is 9 and 9² is 81. Therefore, we will add 81 into our parentheses:

\(y=(x^2+18x+81)+79\)

Since we added 81, we must also subtract 81. So:

\(y=(x^2+18x+81)+79-81\)

Subtract:

\(y=(x^2+18x+81)-2\)

The grouped terms are a perfect square trinomial. Factor:

\(y=(x+9)^2-2\)

And this is in vertex form.

And we are done!

The solution is; C. x² + 2x - 1 = 3 equation could be solved using this application of the quadratic formula.

Here,

Quadratic formula: x = -b±√b²-4ac/2a     [ +/-   is   ± ]    

You can find the value of a, b, c  -->  ax² + bx + c = 0  

we have,

x = -2±√2² - 4×1× -4 / 2×1    

Since this is not simplified, you can find a, b, c:

a = 1

b = 2

c = -4

A.)  x² + 1 = 2x − 3   Make the equation into ax² + bx + c = 0.

Subtract 2x on both sides, and add 3 on both sides to set the equation equal to 0

x² + 1 - 2x + 3 = 2x - 2x - 3 + 3

x² - 2x + 4 = 0      

a = 1

b = -2

c = 4    This is not the answer because b = 2 not -2, and c = -4 not 4

B.) x² - 2x − 1 = 3     Subtract 3 on both sides to set the equation = 0

x² - 2x - 4 = 0

a = 1

b = -2

c = -4      This is not the answer because b = 2 not -2

C. x² + 2x - 1 = 3    Subtract 3 on both sides to set the equation = 0

x² + 2x - 4 = 0

a = 1

b = 2

c = -4    This is your answer

D. x² + 2x - 1 = -3      Add 3 on both sides to set the equation = 0

x² + 2x + 2 = 0

a = 1

b = 2

c = 2    

This is not the answer because c = -4 not 2

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complete question:

Which equation could be solved using this application of the quadratic formula?

x = -2±√2² - 4×1× -4 / 2×1    

The graph of g(x) is shifted 4 units up from the parent function

The equation of the parent function f(x) is given as

f(x) = x

The transformed function is given as

g(x) = x + 4

Substitute the known values in the above equation, so, we have the following representation

g(x) = f(x) + 4 or g(x) = f(x + 4)

This means that the function is shifted to the left by 4 units or it is shifted up by 4 units

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The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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Answer:

ok ok ok chilll The answer is

Step-by-step explanation:

1. An equation that represents "the amount of tax on an item of price p",

t = p x X / 100

2. Marta does pay on an item whose price is $20, $1.6

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

Tax rate = 8%

1. Let's assume that the sales tax rate is X%.

Then, the equation that represents the amount of tax (t) Marta pays on an item whose price is p can be written as:

t = p x X / 100

2. If the price of the item is $20, the amount of tax Marta pays can be calculated as follows:

t = $20 x X / 100

t = $20 x 8 / 100

t = $1.6

So, Marta pays $1.6 in sales tax on an item whose price is $100.

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Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

Answer:

Step-by-step explanation:

Answer:

Your 3rd angle is 82 please mark brainlist thank you and God bless

Answer:

b

Step-by-step explanation:

236

Answer:

my answer is C/386

Step-by-step explanation:

x/2+74+42+77=x

Answer:

12 apples

Step-by-step explanation:

Apples eaten by friend = 5

Apples eaten by me = 7

Toral number of apples eaten together

= 5 + 7

= 12

________

hope this helps!

Answer:

12 apples

Step-by-step explanation:

If 1 person eats 5 apples, and another person eats 7, we should add the amount of apples together to get the total.

5+7

=12

So, 12 apples were ate altogether.

Hope this helps! :)

Answer:

is 50

Step-by-step explanation:

..

Answer:

50 mgghh*gffh CD d yuh hgcft

Answer:

(3 ⋅ x) - (-1/2)

Step-by-step explanation:

Since it says the product of 3 and a number, it can be written as 3 ⋅ x, where you need to multiply 3 by x, and it only says “a number” so you can just put x. Then, it says the difference of that product and -1/2. Now, you can put the product part in, which is 3 ⋅ x, and subtract that with -1/2 to get (3 ⋅ x) - (-1/2)

Hope this helps! :)

We want the maximun or minimum of \(g(x)=-4x^2+4x-2\)

Firstly, notice that we have a leading coefficient of -4, wich means our parabola is concave down. Thus, our function will have a maximum.

To find what is the maximum, let's firstly find on wich value of x it happens. We'll start by taking the first derivative of the function:

\(g'(x)=-8x+4\)

To find the extremes of the function, we just need to find where the derivative equals zero. Setting g'(x)=0 we have

\(0 = -8x+4\\8x=4\\x=\frac{1}{2}\)

So we found that the x coordinate of the maximum is x=1/2. To find the y coordinate we just need to substitute the value of x into the original function.

\(g(1/2)=-4(1/2)^2+4(1/2)-2\\g(1/2)=-1+2-2\\g(1/2) = -1\)

Therefore, the maximum point \(M\) of the function is

\(\boxed{M=(0.5,-1)}\)

 Glad to help! Wish you great studies.

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Answer:

70

Step-by-step explanation:

Hello There!

In order to find the measure of angle B we need to solve for x

Remember the sum of the angles in a triangle is 180

so we can solve for x using the equation

180=40+x+20+2x-30

step 1 combine like terms

40+20=60 60-30=30

2x+x=3x

now we have

180=3x+30

step 2 subtract 30 from each side

180-30=150

30-30 cancels out

step 3 divide each side by 3

150/3=50

3x/3=x

we're left with

x=50

Now we plug in 50 into x in 2x-30

2*50=100

100-30=70 so we can conclude that

angle B = 70

Answer:

0.75 g ≤ 35

Step-by-step explanation:

if each games costs $0.75, then the answer of g will be given by 35/0.75.

he can go up to exactly $35 but not over

so, the inequality is given by 0.75 g ≤ 35

The surface area of the sphere is 113 square cm

The radius is given as:

r = 3 cm

The surface area is calculated as:

\(A = 4\pi r^2\)

So, we have:

\(A = 4\pi * 3^2\)

Evaluate the product

A = 113

Hence, the surface area of the sphere is 113 square cm

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Answer: 113

Step-by-step explanation: SA formula is = 4*pi*r^2, input our own values into that, and we get 4*3.14*5^2 = 113.04, round down, and you get 113