Meghan is making fruit salads and fruit smoothies. The salad recipe calls for 1/6 cup of strawberries, and the smoothie recipe calls for 2/3 cup strawberries. If Meghan wants to make 2 fruit salads and 2 fruit smoothies, how many cups of strawberries does she need?

Answer:

Option (4) and Option (6)

Step-by-step explanation:

By the zero product property,

If (x - a)(x - b) = 0

Then, (x - a) = 0 ⇒ x = a

(x - b) = 0 ⇒ x = b

By following the zero product property,

From the given equation,

3(x - 4)(2x - 3) = 0

x - 4 = 0 ⇒ x = 4

2x - 3 = 0 ⇒ x = \(\frac{3}{2}\)

Therefore, options (4) and (6) will be the correct options.

Answer:

4 and 6 :)

Step-by-step explanation:

edge

The transformation illustrated in the figure is translation.

Translation is a Transformation process in which the size or shape of a figure is not changed rather it only changes the coordinates of the vertices that make up that shape by moving them from one point to another.

Analysis:

Both shapes are congruent, since all the vertices remain in their respective positions even though they were moved and no change in the shape or size, then the transformation process is Translation.

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Rationalizing the denominator and simplifying the expression, the result is 6√5 + 13.

Option C is the correct answer.

Given that;

\(\frac{4+\sqrt{5} }{\sqrt{5} -2}\)

To rationalize the denominator, we multiply the expression by \(\frac{\sqrt{5} +2 }{\sqrt{5} +2}\)

Hence

\(\frac{4+\sqrt{5} }{\sqrt{5}-2 } *\frac{\sqrt{5} +2 }{\sqrt{5} +2}\\\\\\\frac{(4+\sqrt{5}) }{(\sqrt{5}-2) } \frac{(\sqrt{5} +2) }{(\sqrt{5} +2)}\\\\\\\frac{(4+\sqrt{5})(\sqrt{5}+2) }{\sqrt{5}^2+\sqrt{5}*2-2\sqrt{5} -4 } \\\\\\\frac{(4+\sqrt{5} )(\sqrt{5}+2 )}{1}\\ \\(4+\sqrt{5} )(\sqrt{5}+2 )\\\\4\sqrt{5}+4*2+\sqrt{5}\sqrt{5}+\sqrt{5}*2\\ \\ 4\sqrt{5}+8+5+2\sqrt{5}\\ \\ 6\sqrt{5}+13\)

Rationalizing the denominator and simplifying the expression, the result is 6√5 + 13.

Option C is the correct answer.

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Let x, xr , xr² be the terms of GP.

After the increase, the terms are : x+xr , xr+xr , xr²+xr

or in simplified manner : x(1+r), 2xr, xr (r+1) .

For these terms to be in Harmonic Progression, their reciprocals should be in Arithmetic Progression .

Thus,

Arithmetic mean of first and last terms should be equal to the middle term.

First term = 1/[x(1+r)] ; Middle term= 1/(2xr) ; Last term = 1/[xr(r+1)]

Assume,

A = Arithmetic mean of first and last term

A= [1/[x(1+r)]+[1/[xr(r+1)] /2

A= (1/2)[(r+1)/(xr(1+r))]

A= (1/2)(1/xr)

A= 1/(2xr)

A = Middle term

Thus, the reciprocals are in AP.

Hence x(1+r), 2xr, xr(r+1) in HP.

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The coordinates of point l are (8,9).

Numbers used to identify the position of a point in a plane or in space. It is mostly used in mathematics, science, and engineering. Coordinates are used to define locations on maps, to plot graphs, and to identify points on a two-dimensional plane. By knowing the coordinates of two points, one can calculate the distance between them.


To find this point, we must first calculate the midpoint between j and k. The midpoint can be found by taking the average of the x-coordinates and y-coordinates. The midpoint between j and k is (8,10). Since the ratio of jl:kl is 5:1, we can determine that l is 5 units away from j and 1 unit away from k. This means that l must be 5 units up and 1 unit to the right from the midpoint. Thus, the coordinates of l are (8,9).

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Answer:

Step-by-step explanation:

(19/3)+(7/2)

(11/2)+(13/3)

=> 6.33 + 3.5   /   5.5 + 4.33  = 1

Answer: 112 people.

Step-by-step explanation:

Answer:

You would need 112.5 people to eat all the stacks of pancakes.

Step-by-step explanation:

45 times 5 = 225

and then 225 divided by 2 is 112.5

Hope this helps!

Good question lol

Answer:

First: 13

Second: 21.79

Step-by-step explanation:

In the photo

Answer:1/4 + 1/4 = 1/2 = 0.5

Answer:

A. there is exactly one solution. the solution set is {(2, 0)}.

Step-by-step explanation:

3x + 8y = 6

3x - 8y = 6

when we add these 2 equations, we get

6x + 0 = 12

6x = 12

x = 2

now we use one of the original equations to get y :

3×2 + 8y = 6

6 + 8y = 6

8y = 0

y = 0

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) do not correspond to the intervals where the graph of f(x) is decreasing. The pairs (1, -2) and (-3, -18) are the correct ones.

To determine where the graph of f(x) is decreasing, we need to examine the intervals where the function's derivative is negative. The derivative of f(x) is given by f'(x) = -3x^2 - 8x + 3.

Now, let's evaluate f'(x) for each of the given x-values:

f'(-1) = -3(-1)^2 - 8(-1) + 3 = -3 + 8 + 3 = 8

f'(2) = -3(2)^2 - 8(2) + 3 = -12 - 16 + 3 = -25

f'(0) = -3(0)^2 - 8(0) + 3 = 3

f'(1) = -3(1)^2 - 8(1) + 3 = -3 - 8 + 3 = -8

f'(-3) = -3(-3)^2 - 8(-3) + 3 = -27 + 24 + 3 = 0

f'(-4) = -3(-4)^2 - 8(-4) + 3 = -48 + 32 + 3 = -13

From the values above, we can determine the intervals where f(x) is decreasing:

f(x) is decreasing for x in the interval (-∞, -3).

f(x) is decreasing for x in the interval (1, 2).

Now let's check the ordered pairs in the table:

(-1, -6): Not in a decreasing interval.

(2, -18): Not in a decreasing interval.

(0, 0): Not in a decreasing interval.

(1, -2): In a decreasing interval.

(-3, -18): In a decreasing interval.

(-4, -12): Not in a decreasing interval.

Therefore, the ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) are not located in the intervals where the graph of f(x) is decreasing. The correct answer is: (1, -2), (-3, -18).

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Note the complete and the correct question is

Q- Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27).

\(f(x) = -x^3 - 4x^2 + 3x\).

Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)

Answer:

  Draw perpendicular bisectors of two the sides

Step-by-step explanation:

The point that is the same distance from each of their houses is the point called the "circumcenter." It is the center of the circle that passes through the vertices of the triangle. Then each of the vertices is the same distance from the center.

The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle. To find it, the group needs to draw perpendicular bisectors of two of the sides.

Answer:

The answer is C

Step-by-step explanation:

EDGE2020

Answer:

CP of ring = 1200

profit % = 15%

Profit amount = 15% 0f 1200 = 180

SP = 1200 + 180 = 1380

Answer:

€ 1380

Step-by-step explanation:

The jeweller bought the ring for €1200 and got a profit of 15% when he sold it. That means,

\( = \frac{15}{100} \times 1200 \\ = 180\)

he got €180 more money (which is equivalent to 15% of the portion of the money that he originally paid for the ring).

So, the selling price (the new price of the ring) would be:

= Original price + profit

= €1200 + €180

= €1380

The value of the given expression is 0.3667.

The given expression is (-5+5√3)/3.

The given expression can be solved as follows

5(-1+√3)/3

= 5(-1+1.22)/3

= (5×0.22)/3

= 1.1/3

= 0.3667

Therefore, the value of the given expression is 0.3667.

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Answer:

x^2+12x=-11

Step-by-step explanation:

Answer:

(-1, 12) and (-11, 132)

Step-by-step explanation:

Answer:

d) 5 lollipops each and 3 left over

Step-by-step explanation:

To find out how many each of them get, you need to find the total amount of lollipops to be shared equally.

Total No. of lollipops = 3 + 5 + 7 + 4 + 9

                                   = 28

No. of lollipops each of them get = 28 ÷ 5

                                                       = 5 R3

(To find the remainder of something, you have to know how much is the quotient (which is 5 in this case), multiply it by the divisor (which is also 5 in this case) then minus that number from the total (which is 28 in this case) )

Additional working:

5 × 5 = 25

28 - 25 = 3 (remainder)

Answer:

it is D

Step-by-step explanation:

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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Answer:

73°

Step-by-step explanation:

This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.

The triangle has two angles implied, 30 degrees and (180-137) degrees.

(180 - 137) = 43 degrees

Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.

180 - 43 - 30 = 107

The angle with a measure of 107 degrees and angle 3 are supplementary

180 - 107 = 73 degrees

Answer:73.4° Fahrenheit.

Step-by-step explanation:

The number of gallons that will be used to paint the given number of doors would be = 72 gallons.

The number of doors that can be painted by 1 gallon provided by the manager of the easy rest motel would be = 8 doors.

Therefore the number of gallons that can paint 576 doors = X gallons.

That is ;

1 gallon = 8 doors

X gallons = 576 doors.

Make X gallons the subject of formula;

X gallons = 576/8

= 72 gallons

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Answer:

the mean and the median of the set of scores are the same.

Step-by-step explanation:

median = 89

mean = 96+77+86+97+89 = 445 / 5

= 89

mode = none

The mean and the median of the set of scores are the same.

Introduction to Mean, Median, and Mode: In statistics, we frequently choose a representative value to roughly characterise the entire collection of data. The name "measure of central tendency" denotes that this representative value is one around which the data is centred. The mean, median, and mode are these central tendencies. The most typical way to measure central tendency is with the mean. In actuality, it represents the mean of the specified set of data. Both continuous and discrete data can be used with it. In most cases, the median shows the midpoint of the given set of data when it is arranged in a specific order.

Mean: - Average value

Median: - Middle term (after arranging in either accending or descending order)

Mean = 445/5 = 89

Median = Middle term = 3rd term = 89

Mean and median are equal.

Hence, option D is correct

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The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

the fuel on the first car was 50 miles per gallon the  fuel on the second car was 25 miles per gallon

Step-by-step explanation:

Couldnt explain the  explation because it will be to long and i alr hade to go

Answer:

y-intercept, when x = 0, y = -6

x-intercept, when y = 0, x = 6

Step-by-step explanation:

y-intercept, when x = 0, y = -6

x-intercept, when y = 0, x = 6

The value of x is 9 cm, and angle O is 0 degrees.

To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:

(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:

LN = 12 cm

NK = 6 cm

KM = 8 cm

Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.

Using the Law of Cosines, we can write the equation for side NM (x):

x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)

We don't know the value of angle N yet, so we need to find it using the Law of Sines.

(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:

sin(A) / a = sin(B) / b = sin(C) / c

In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.

We can write the equation for angle O:

sin(O) / 8 = sin(N) / 6

Now, let's solve these equations step by step to find the values of x and angle O.

To find angle N, we can use the Law of Sines:

sin(N) / 12 = sin(180 - N - O) / x

Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:

sin(N) / 12 = sin(O) / x

Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):

sin(N) / 12 = (6 / 8) * sin(N) / x

Now, we can solve this equation for x:

x = (12 * 6) / 8 = 9 cm

So, the value of x is 9 cm.

To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:

sin(O) / 8 = sin(N) / 6

sin(O) / 8 = sin(O) / 9

9 * sin(O) = 8 * sin(O)

sin(O) = 0

This implies that angle O is 0 degrees.

Therefore, the value of x is 9 cm, and angle O is 0 degrees.

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The figure for the given question is provided here :

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

The Fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.

The container is made up of two substances: water and oil. We know that the container has 1/4 water and 1/3 oil. This means that the remaining space in the container is made up of neither water nor oil, i.e., empty space.

To find the fraction of empty space, we need to add the fractions of water and oil together and subtract them from 1. This is because the sum of the fractions of water, oil, and empty space must equal 1, which represents the total volume of the container.

The fraction of water in the container is 1/4, and the fraction of oil is 1/3. Therefore, the fraction of the container that is not empty is:

1/4 + 1/3 = 3/12 + 4/12 = 7/12

To find the fraction of empty space, we subtract this fraction from 1:1 - 7/12 = 5/12

Therefore, the fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.

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