Margaret uses 1 3/4 teaspoons of key lime zest to make 12 like cupcakes. She wants to make 30 cupcakes. How much key lime zest will margaret use?

Answer:

37%

Step-by-step explanation

Reading the graph we see:

The percent of corn production is used for ethanol is 18%

The percent of corn production is used for exports is 19%

Answer the question:

The percent of corn production used for ethanol OR exports is the sum of the two 18%+19% = 37%

Answer:

24

Step-by-step explanation:

The extrema is halfway between the roots, so for f(x), it has coordinates (1, f(1)) = (1, -4).

For g(x), we can rewrite it as -2(x²-2x-3) = -2(x-3)(x+1). We can see that the extrema has coordinates (1, 8).

Finding the intersection,

[tex](x-3)(x+1)=-2(x-3)(x+1) \\ \\ 3(x-3)(x+1)=0 \\ \\ x=-1, 3 \\ \\ x=-1 \implies f(x)=g(x)=0 \\ \\ x=3 \implies f(x)=g(x)=0[/tex]

So, we need to find the quadrilateral with vertices (1,-4), (1,8), (-1,0), and (3,0).

We observe this is a kite with diagonals of lengths 4 and 12. So, using the formula for the area of a kite, the area is 24.

Answer:

y = -1/4x + 7/4

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (3 - 0)/(-5 - 7) = 3/(-12) = -1/4

using m = -1/4, y = 0 , x = 7

y = mx + b

0 = -1/4(7) + b

0 = -7/4 + b

b = 7/4

y = -1/4x + 7/4

The length of diagonal GE is 89 units

What is a quadrilateral?

quadrilateral is a plane mathematical closed figure consist of four side and four edges. There are 7 types of quadrilateral.

Trapezium, Parallelogram, Rectangle, Rhombus, Square, Kite.

It is given that :

length of side EF = 39 units

and, DH = 44.5 units

It is known that :

Diagonals of a Rectangle

A rectangle has 2 congruent diagonals, that is the two diagonals are equal to each other.

The diagonals of a rectangle bisects each other into equal segments.

The diagonals of the rectangular room are:

DF and GE

Thus:

DF = GE

DH = 1/2(DF)

44.5 = 1/2(DF)

DF = 2(44.5)

DF = 89

Therefore :

DF = GE = 89

GE = 89 units

Thus,  The length of diagonal GE is 89 units.

Learn more about diagonals of a rectangle on:

brainly.com/question/17117320

#SPJ1

Answer:

Ahmm I guess it is

[tex] \frac{5}{16} \\ [/tex]

Step-by-step explanation:

Cuz I did like

[tex] \frac{20}{64} = \frac{20}{64} \div \frac{2}{2} = \frac{10}{32} = \frac{5}{16} \\ \\ \\ \\ \frac{20}{64} = \frac{20}{64} \div \frac{4}{4} = \frac{5}{16 \\ \\ \\ \\ \\ \\ } [/tex]

so I guess it's correct

Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have real domains.

What is domain?

The domain is all x-values or function inputs, and the range is all y-values or function outputs. When looking at a graph, the domain is all of the graph's values from left to right. The range includes all of the graph's values from bottom to top.

Here, the options

(I) The domain of both [tex]f(x)[/tex] and [tex]g(x)[/tex] are all real numbers,

(II) The axis of symmetry of the graphs of both functions is [tex]x=0[/tex]

are correct.

To know more about domain in mathematics graph, click on the link

https://brainly.com/question/22575071

#SPJ1

Length of the missing side. Leave your answer in the simplest radical form b= root of 69 feet

Pythagorean theorem:

Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2

The Pythagorean Theorem is tremendously useful. In many realistic scenarios it is possible to measure a and b with ease, but it is often difficult to measure c. For instance, c might pass through a lake or private property or might be up in the air! We'll do a few example puzzles in class together to show you how this works.

Nonetheless, the Pythagorean Theorem still presents a substantial limitation to utility. Specifically, it requires that the angle between a and b is 90 degrees. If the angle is not 90 degrees, the Pythagorean Theorem doesn't help.

This is where the Law of Cosines comes in. The Law of Cosines allows us to find c even when the angle between a and b is not 90 degrees. Check out this applet which illustrates the relationship between a2 and b2 and c2 that also takes into account the angle C (note the angle is capital C to distinguish it from lower case c, the side opposite angle C) between the legs a and b.

Adjust the blue dots in the triangle on the right right side of the screen to see the relationship. At the outset, when angle C is 90 degrees, a2+b2 is exactly equal to c2. However, when you move any of the three vertices of the triangle, note that the equality is not maintained. The problem is that angle C becomes not 90 degrees.

Now ,

a= 10

c= 13

b=?

a2 + b2 = c2

[tex]10^{2} +b^{2} = 13^{2} \\\\100+ b^{2} = 169\\\\b^{2} = 169-100\\\\b=\sqrt{69}[/tex]

Length of the missing side. Leave your answer in the simplest radical form

b= root of 69 feet

More details : brainly.com/question/8122981

#SPJ9

Answer:104,500

Step-by-step explanation:

Area = l × w= 475 × 220= 104500 feet2

Answer:

x = [tex]\frac{16}{41}[/tex]

y =[tex]\frac{102}{41}[/tex]

Step-by-step explanation:

To use elimination I need either the x terms to be inverses of each other or the y terms to be inverses of each other.  There are a number of ways to do this.  I am going to focus on the y's.  If I multiple the first equation through by 5 and the second equation through by 3.  I will make equivalent equations that will allow the y terms to be eliminated.

14x - 3y = -2

5(14x - 3y) =5(-2)

70x - 15y = -10

4x + 5y = 14

3(4x + 5y) = 3(14)

12x +15y =42

Add together the 2 bold equations above

70x - 15y = -10

12x + 15y = 42

82x          = 32  Divide both sides by 82

x = [tex]\frac{32}{82}[/tex] = [tex]\frac{16}{41}[/tex]

Plug this in either equation to solve for y

y = [tex]\frac{102}{41}[/tex]

Answer:

Grayson's party will cost $516.

Step-by-step explanation:

Start with putting a unit rate for money per person

60/10

Divide by 10

6/1 (6$ per person)

Then multiply by 86 (# of guests attending)

86 x 6 = 516

Answer:

3 18/19

Step-by-step explanation:

7 1/2 ÷ 1 9/10 =

= 15/2 × 10/19

= 150/38

= 75/19

= 3 18/19

Yes , it is possible to fit a table 9 feet wide through a rectangular doorway 4 feet by 8.

A table with folded legs can pass through a rectangular door at an angle of 45°, forming a triangle to which the Pythagorean theorem can be applied.

Let the two sides of the door be the two sides of triangles a and b, then

        [tex]c^2=4^2+8^2\\c^2=16+64\\c^2=80\\c=8.94[/tex]

Conclusion: Using the Pythagorean theorem, we know that an 8.94 foot table can pass through the door. And we know that 8.94 ≈ 9  

Hence , a 9-feet table can pass through a rectangular door.

Learn more about Pythagorus theorem here :

https://brainly.com/question/343682

#SPJ9

The length and width of the rectangle with the given perimeter are 26ft and 21ft respectively.

The perimeter of rectangle is expressed as;

P = 2( l + w )

Given the data in the question;

Let 'x' represent the width of the rectangle.

Plug these values into the equation above.

P = 2( l + w )

94 = 2( (x+5) + x )

94 = 2x + 10 + 2x

94 = 4x + 10

4x = 94 - 10

4x = 84

x = 84/4

x = 21

Hence;

Width of the rectangle = x = 21ft

Length of the rectangle = x+5 = 21+5 = 26ft

Therefore the length and width of the rectangle with the given perimeter are 26ft and 21ft respectively.

Learn more about rectangles here: https://brainly.com/question/17043956

#SPJ1

Answer:

$6

Step-by-step explanation

$32 is the total(100%)

in order to find what she needs to tip, you have to divide by 5 because 100% / 5=20%

now, to find 20% of 32, you divide 32 by 5.

32 you can just round to 30, so that you can divide it by 5.

30/5=$6

you could've rounded the total up to 35, but 30 was closer, therefore $6 was the closest whole number tip rosita could've left.

hope this helps

Answer:

h(-4) = 72

Step-by-step explanation:

Given:

h(x) = 5x² +2x

Evaluate the function h(x) = 5x²+2x for x=-4 means to

find h(-4) by substituting x with -4:

h(-4) = 5·(-4)² +2·(-4)

h(-4) = 5·16 -2·4

h(-4) = 5·16 -2·4

h(-4) = 80 -8

h(-4) = 72

Answer:

[tex] \sf \Large x=−5 [/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

8x+12=2x−18

Step 1: Subtract 2x from both sides.

8x+12−2x=2x−18−2x

6x+12=−18

Step 2: Subtract 12 from both sides.

6x+12−12=−18−12

6x=−30

Step 3: Divide both sides by 6.

6x/6 = −30/6

x=−5

Step-by-step explanation:

8x + 12 = 2x -18

8x - 2x = -18 - 12

6x = -30

6x/6 = -30÷6

x = - 5

Answer:

you did it right!

Step-by-step explanation:

Step-by-step explanation:

total number of people are 40

take teach takeaway category and divide it by 40

eg)3÷40 / 11÷40

since there are 360⁰ in a circle, multiply your answer by 360 to get your angle

(3÷40)×360 = a

(11÷40)×360 = b

(9÷40)×360 = c

(2÷40)×360 = d

(15÷40)×360 = e

those are your angles. use a protractor to measure the angles

note : if all your angles add up to 360 the you've done everything correctly

Step-by-step explanation:

If rigid transformations can be used to map two shapes onto one another, they are said to be congruent (a sequence of one or more rotations, translations, and reflections). Any series of rigid transformations performed on a triangle results in a congruent triangle.

Let's now analyze rigid transformation.

An isometry, also known as a rigid transformation of the plane, preserves length. Reflections, translations, rotations, and combinations of these three transformations are all considered "rigid transformations".

Example: Congruent shapes include, for instance, the right angle triangle and its preimage.

To learn more about Rigid transformation and congruent shapes, please click on the link:

https://brainly.com/question/24430586

#SPJ9

Answer:

  t - s

------------

  t + s

Step-by-step explanation:

To solve a problem like this you need to flip the denominator and multiply

Step 1: Write the equation

      s

1 - ------

      t

--------------  

        s

1 +  -------

         t

Step 2: Flip it and multiply

      s                 t

1 - ------  ×  1 + -------

      t                 s

Step 3: Multiply Across

      s                 t             -s + t               t - s

1 - ------  ×  1 + -------  =  -------------- or ---------------

      t                 s              t + s               t + s

I hope this helps!

The verdict on Adela's idea of retaining the same ratio by adding the same number to both coordinates of the point is that; Adela is incorrect.

It follows from the task content that, Adela claims that you can find an equivalent ratio by adding the same number to both coordinates of the point.

Adela's claim as indicated above is false because, if for instance, 2 is added to both coordinates, then we have; (9, 10).

And, since 9 : 10 is not equivalent to; 7: 8. Adela's claim is incorrect.

On the other hand, to retain the ratio, the coordinates should be multiplied by the same number. For instance by 3; so that we have;

21 : 24 which is equivalent to the ratio, 7 : 8.

The verdict on Adela's idea of retaining the same ratio by adding the same number to both coordinates of the point is that; Adela is incorrect

Read more on equivalent ratios;

https://brainly.com/question/2914376

#SPJ1

The value of x in the equilateral triangle is 10

The equilateral triangle's three characteristics are: Equal on all three sides. The three angles are identical. Three symmetry lines may be seen in the figure. Additionally, each inside angle is identical (60 degrees).

A unique isosceles triangle with three equal sides is called an equilateral triangle. The formulas that we take into account most frequently for a triangle are: Dimensions of an equilateral triangle , the equilateral triangle's circumference, Equilateral triangle's height

An equiangular triangle's area can be calculated using the following formula:

If A=√3a2/4, then ABC's perimeter 3a

where a is the triangle's side length.

In equilateral triangle, the sum of the 3 angles are 180°.then the angle of each side is 60°

From the given data,

(7x-10)°=60°

7x=60+10

7x=70, x=10

Hence the value of x is 10

To learn more about triangle, visit:

https://brainly.com/question/2773823

#SPJ1

From the given table, the relationship that is an inverse variation is the fourth relationship with (1, -2) and (3, -6).

An inverse variation refers to when the values of x and y move in opposite directions.

For instance, when x increases, y decreases. The decrease will have to be constant however which is why the fourth relationship is an inverse variation.

When x increases by 1, the value of y decreases by 2.

Find out more on inverse variation at https://brainly.com/question/13998680

#SPJ1

Answer:

x=−44

Step-by-step explanation:

Rewrite the equation as

−x11+43=47.−x11+43=47

Move all terms not containing

x

to the right side of the equation.

−x11=4

Multiply both sides of the equation by

−11.−11(−x11)=−11⋅4

Answer:

Y = 3/7x-3

Step-by-step explanation:

I don't have an explanation other than the fact I put this into a calculator and this is what it gave me.

Using dilation rules, the dilated triangle is given at the end of the answer. The coordinates of the vertices are as follows:

A'(-6,6), B'(-3,0), C'(3,6).

To dilate a figure by a factor of a, each coordinate of each vertex of the image is multiplied by a, that is, the following rule is applied:

(x,y) -> (ax, ay).

The coordinates of the vertices of ABC are given as follows:

A(-2,2), B(-1,0), C(1,2).

After a dilation with a scale factor of 3, the coordinates of the vertices of A'B'C' will be given as follows:

A'(-6,6), B'(-3,0), C'(3,6).

These coordinates are derived multiplying the coordinates of A, B and C by 3.

The image of the triangle is given at the graph at the end of the answer.

For the image of triangle DEF, each of the coordinates of D, E and F will be multiplied by -1/2 to generate the dilated triangle.

More can be learned about dilations at https://brainly.com/question/3457976

#SPJ1