A recipe calls for 2 ½ cups of flour to bake 12 cookies. If each person eats 1 cookie, and Elizabeth needs to serve 44 people, how many cups of flour will Elizabeth need to bake the cookies?

On solving the provided question, we can say that Surface Area of central park = 2.5 × 0.5 = 1.25 square mile

An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).

Surface  Area of central park = 2.5 × 0.5 = 1.25 square mile

1 acre = 1/640 square mile

1.25 square mile = 1.25 ÷ 1/640 = 800 acre

Number of people in the park = 800 ÷ 15 = 53.3 ≈ 53 people

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Given:

The given quadratic equation is:

[tex]12a^2+9a+7=0[/tex]

To find:

The solution for the given quadratic equation in simplest form by using the quadratic formula.

Solution:

Consider a quadratic equation is defined as [tex]ax^2+bx+c=0[/tex], then the quadratic formula is:

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The given quadratic equation is:

[tex]12a^2+9a+7=0[/tex]

We have, [tex]a=12,b=9,c=7[/tex]. Using the quadratic formula, we get

[tex]x=\dfrac{-(9)\pm \sqrt{(9)^2-4(12)(7)}}{2(12)}[/tex]

[tex]x=\dfrac{-9\pm \sqrt{81-336}}{24}[/tex]

[tex]x=\dfrac{-9\pm \sqrt{-255}}{24}[/tex]

[tex]x=\dfrac{-9\pm i\sqrt{255}}{24}[/tex]              [tex][\because \sqrt{-a}=i\sqrt{a}][/tex]

The solutions of the given equations are [tex]x=\dfrac{-9-i\sqrt{255}}{24}[/tex] and [tex]x=\dfrac{-9+i\sqrt{255}}{24}[/tex].

Hence, the correct option is B.

Answer:

175

Step-by-step explanation:

Find how much is left by multiplying 200 by 0.875, since this will give you the remaining 87.5%:

200(0.875)

= 175

So, the answer is 175.

The transformation is shifted up 2 units.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=-2x+3.

Here, the slope m of a line is -2 and y-intercept is 3

A) If the function g(x)=f(x)+k, where k=2.

Now, g(x)=-2x+3+2

g(x)=-2x+5

Here, the slope m of a line is -2 and y-intercept is 5

B) The slope of both functions are same

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Shifted up 2 units

Therefore, the transformation is shifted up 2 units.

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Answer:

D) The quadrilaterals are not similar

Step-by-step explanation:

The given parameters are;

In quadrilateral EFGH, the sides are;

[tex]\overline {EF}[/tex] = [tex]\overline {HG}[/tex]  = 8, [tex]\overline {EH}[/tex]  = [tex]\overline {FG}[/tex] = 7

In quadrilateral QRST, the sides are;

[tex]\overline {QR}[/tex] = [tex]\overline {ST}[/tex]  = 32, [tex]\overline {QT}[/tex]  = [tex]\overline {RS}[/tex] = 36

The ratio of the lengths of the corresponding parallel sides on quadrilaterals EFGH and QRST are;

For the horizontal sides, we have;

[tex]\overline {EF}[/tex]/[tex]\overline {QR}[/tex] = 8/32 = 1/4 = 0.25

For the inclined parallel sides, we have;

[tex]\overline {EH}[/tex]/[tex]\overline {QT}[/tex] = 7/36 = 0.19[tex]\overline 4[/tex]

Therefore, given that the ratio of the corresponding sides on quadrilaterals EFGH and QRST are not equal, we have;

The quadrilaterals (EFGH and QRST) are not similar.

So, Mathilda should mix 600 grams of OMT with 300 grams of WMT to sell the resulting mixture at Php 1.80 per gram.

The unitary approach involves calculating the value of a single unit, from which we may calculate the values of the necessary number of units.

The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.

A unit is a quantity with a fixed magnitude that is used to gauge the sizes of other quantities that behave similarly.

The terms millimeter (mm), centimeter (cm), meter (m), and kilometer (km) are used to describe length (km). The weight is measured in kilograms (kg) and grams (g). Milliliter (ml) and liter are used to measure volume (L).

Let x be the amount of OMT powder in grams. We know that the total amount of powder in the mixture is x + 300 grams since Mathilda is mixing x grams of OMT with 300 grams of WMT.

(x * Php 2 + 300 * Php 1) / (x + 300) = Php 1.80

Solving for x, we can get the amount of OMT powder in grams:

x = (300 * Php 1.80 - 300 * Php 1) / (Php 2 - Php 1.80) = 300 * (Php 1.80 - Php 1) / (Php 2 - Php 1.80) = 600

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Answer:

x = 113°

Step-by-step explanation:

AB is a line segment and hence it is a straight line which means it is a straight angle, so it is 180° .

y = 67°

x = ?

So, x + y = AB

=> x + 67° = 180°

=> x = 180° - 67°

=> x = 113°

Therefore, x = 113°

Hope it helps :)

Answer:

x=9

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

i got it right

Answer:

Step-by-step explanation:

[tex] {(2x)}^{3} [/tex]

= 2x × 2x × 2x (In expanded notation form) (Ans)

Answer:

2·2·2·x·x·x

Step-by-step explanation:

(2x)(2x)(2x) = 2·2·2·x·x·x = 8x³

Answer:

First find x and y at given parameters:

Maximum height is at vertex. Time is:

Maximum height is:

Horizontal distance:

Time to hit the ground:

The reason why is because the order is important when it comes to congruent statements. I'm referring to the order of the letters of ACB and CAD.

Each answer choice has "ACB" in that exact order shown on the left hand side of each congruent statement. We have "A" listed first, then "C" next. In short, segment AC is the first thing mentioned of ACB. This means that we need to list out segment AC as the first thing for the other triangle as well, in order to have a match. Segment AC is the same as segment CA, which is the first segment mentioned in triangle CAD. That's why choice 3 is the answer.

Note how something like triangle CDA won't work since segment CD is listed first, which doesn't pair up with segment AC. This allows us to rule out the first answer choice. Choices 2 and 4 can be eliminated for similar reasons.

Put another way: let's assume choice 1 was the answer. That would mean that AC = CD as they are the first pair of letters of ACB and CDA respectively. But the diagram shows that AC = CD is not true; otherwise, the segments would have similar tickmarks to show they are the same length. This is an alternative way to see why choices 1, 2, and 4 can be crossed off the list.

B: (0, -1) , ( -4,0) , ( -2, -1) , (7, -7)

Image result for ordered pair definition

An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair’s numeric values can be integers or fractions.

The origin is the place where both axes cross. Every point on the coordinate plane is represented by an ordered pair (x, y), with the first element x referred to as the x-coordinate and the second element y referred to as the y-coordinate.

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Answer:

[tex]y = \frac{2}{5}x[/tex]

Step-by-step explanation:

⭐Perpendicular bisector of a segment

⭐Midpoint formula

⭐Point-slope form

⭐Slope

⭐Slope-intercept form

1. Find the midpoint of the given segment

[tex]midpoint = (\frac{(x_1+x+2)}{2}, \frac{(y_1+y_2)}{2})[/tex]

[tex](x_1,y_1)[/tex] = (3,7)

[tex](x_2,y_2)[/tex] = (7,-3)

∴ midpoint  [tex](\frac{3+7}{2}, \frac{7+(-3)}{2})\\= (\frac{10}{2}, \frac{4}{2})\\= (5,2)[/tex]

2. Find the slope of the given segment

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex](x_1,y_1)[/tex]  = (3,7)

[tex](x_2,y_2)[/tex] = (7,-3)

∴ slope [tex]m = \frac{-3-7}{7-3}\\= \frac{-10}{4}\\= \frac{-5}{2}[/tex]

3. Write the equation of the bisector equation in point-slope form

[tex]y - y_1 = m(x-x_1)[/tex]

4. Substitute the opposite-reciprocal of the given segment's slope into the bisector equation

The slope of the given segment is -5/2.

Therefore, the opposite-reciprocal of the given segment's slope is 2/5.

[tex]y - y_1 = \frac{2}{5}(x-x_1)[/tex]

5. Substitute the midpoint of the given segment into the bisector equation

midpoint = (5, 2)

[tex]y -2 = \frac{2}{5}(x-5)[/tex]

6. Expand & simplify the bisector equation to convert it into slope-intercept form

We need to convert  [tex]y -2 = \frac{2}{5}(x-5)[/tex] into [tex]y = mx + b[/tex] form.

[tex]y -2 = \frac{2}{5}x - \frac{2 * -5}{5}[/tex] . . . . . . . distribute the 2/5 into the parentheses

[tex]y -2 = \frac{2}{5}x - 2[/tex]      . . . . . . . compute

[tex]y = \frac{2}{5}x[/tex]                  . .  . . . .  add 2 to the LHS and RHS to isolate y

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Answer:

1376x-736

Step-by-step explanation:

Take 32 and multiply it by 43. By multiplying vertically, distribute the multiplication of 3 (from 43) times both the 2 and 3 of 32 (right to left)

3 x 2=6; 3 x 3=9:

32

x

43

--------

96

Then, distribute the multiplication of 4 (from 43) times both the 2 and 3 of 32 (right to left) and leave a zero under the last number of your previous answer while moving the distribution of numbers forward.

4 x 2=8; 4 x 3=12

32

x

43

--------

   96

+

1280   <----(this is the zero you must leave under your previous set)

After distributing each number of 43 to each number of 32 while multiplying, add your answers together vertically from right to left and bring down the x:

  96

+

1280

----------

1376x

Now do the same for 32 x -23 after learning vertical multiplication to get -736

Your final answer put together is 1376x-736

If triple of a number added to its half part its equal to the difference between four times the number and 12 then the number is 24.

Two or more expressions with an Equal sign is called as Equation.

Let us consider the number be x

tripple of a number added to its half part

3x+x/2

Difference between four times the number and 12

4x-12

So tripple of a number added to its half part its equal to the difference between four times the number and 12

3x+x/2=4x-12

6x+x=2(4x-12)

Apply distributive property on RHS

7x=8x-24

Subtract 7x on both sides and add 24

24=x

Hence, if triple of a number added to its half part its equal to the difference between four times the number and 12 then the number is 24.

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Answer:

6u+18

Step-by-step explanation:

6*u=6u and 6*3=18

The corresponding equation of the proportional relationship will be;

⇒ y = - 1/4x

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The graph of a proportional relationship contains the point (-12, 3).

Now,

Let the equation of the proportion is,

⇒ y = kx

Where, 'k' is constant of proportion.

Since, The graph of a proportional relationship contains the point (-12, 3).

Hence, Substitute x = 0 12 and y = 3 in above equation we get;

⇒ 3 = k × - 12

⇒ 3 / (-12) = k

⇒ k = - 1/4

Thus, The equation of the proportion is,

⇒ y = - 1/4x

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Answer:

Y=54x−2y=54x−1

I hope this helps you!

The resultant output of  the given question is 7 by 2 is 14.

This is because 7 multiplied by 2 is equal to 14

When you multiply two numbers, the result is the product of the two numbers. In this case, 7 multiplied by 2 is equal to 14.

Mathematicians use the process of multiplication to calculate the product of two or more given numbers. It is a fundamental mathematical operation in maths that is frequently utilised in everyday life. When we need to combine groups of similar sizes or values , we utilise multiplication.

Hence the correct answer to the given question is 14 .

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Answer:

x=6.3m

Step-by-step explanation:

Let the opposite side be y in 2nd triangle.

tan 27° = y/9

=> tan 27° X 9 = y

∴ y = 4.585m ≈ 4.59m

cos 43° = y/x

=> cos 43° = 4.59/x

=> cos 43° X x= 4.59

=> x = 4.59/cos 43°

∴ x =  6.276m ≈ 6.3m (corrected to 1 dp)

70% of those who went to the music concert and the play also did so.

A value or ratio that may be stated as a fraction of 100 is referred to in mathematics as a percentage. Divide the number by the total and multiply by 100 to find the percent of a given number. A portion per hundred is what the percentage denotes. Percentage refers to one in a hundred. The word "%" stands in for it.

In addition to being stated as a decimal or a fraction, a percentage is a number that indicates how many out of 100 it is. Three for the price of one! Simply enter the % as the numerator and 100 as the denominator to convert the percentage to a fraction.

We know that 350 people attended the drama play.

50% of 350 = (0.5) · 350 = 175 people attended both the drama play and music concert.

We know that 250 people attended the music concert.

The percentage of the people who attended the music concert even attended the drama play would be 175 ÷ 250 · 100% = 70%

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70% of those who went to the music concert and the play also did so.

Hence, the option A is correct.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage. In order to get the percentage of a given number, divide the number by the total and multiply by 100. The percentage is a chunk out of one hundred. One out of 100 is referred to as a percentage. The symbol for it is "%".

A % is a number that, in addition to being expressed as a decimal or a fraction, also specifies how many out of 100 it is. For the price of one, get three! To convert a percentage to a fraction, just enter the% as the numerator and 100 as the denominator.

We know that 350 people attended the drama play.

50% of 350 = (0.5) · 350 = 175 people attended both the drama play and music concert.

We know that 250 people attended the music concert.

The percentage of the people who attended the music concert even attended the drama play would be 175 ÷ 250 · 100% = 70%

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Answer:

8 seconds

Step-by-step explanation:

if you graph the function, the difference between the zeros is 8

Answer:

The correct answer is square and parallelogram

Explanation:

Answer:

x = 4

Step-by-step explanation:

-2 ( x+2)=-12

-2x - 4 = -12

-2x = -8

x = 4

Answer:

1 bucket

Step-by-step explanation:

3/4 buckets = 3/4 hours

multiply both sides by 4/3 to get one hour

(4/3) * (3/4) buckets = (4/3) * (3/4) hours

1 bucket = 1 hour

The Two steps equation in mathematics are the equations that can be solved within exactly two steps.

What is a Two Step Equation ?

The Two Step Equation are the algebraic problems that  just take two steps to solve. It is a linear equation in one variable.

When solving the two step equation, we have to perform operation on both sides of the equation .

For Example : Solve [tex]2x+6=12[/tex] ;

Step1 : we Subtract -6 from both sides to isolate variable x.

⇒ [tex]2x + 6 - 6 = 12 - 6[/tex]

⇒ [tex]2x = 6[/tex]

Step2 : We Divide both the sides of equation by 2 and solve for x.

⇒ [tex]\frac{2x}{2} =\frac{6}{2}[/tex]

⇒ [tex]x = 3[/tex] ;

Therefore , the equation is solved in two steps .

The given question is incomplete , the complete question is

What is the two step equation in math ?

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Answer:

secθ = - 2

Step-by-step explanation:

Using the identity

sec²θ = 1 + tan²θ

          = 1 + ([tex]\sqrt{3}[/tex] )² = 1 + 3 = 4 ( take the square root of both sides )

secθ = ± [tex]\sqrt{4}[/tex] = ± 2

Since secθ < 0 in the third quadrant , then

secθ = - 2

Answer:

To find the unit cost of her choice, divide $120 by 40 to get $3.00 per bouquet. This unit cost is more than the other deal.

Step-by-step explanation: