You are baking cookies. Each batch makes 24 cookies. You make x batches of cookies. but eat 5 cookies as you are bkaing. Write an expression for the number of cookies you have

My answer from brainly for part a : 24x-5

Is your answer to part a the same if you eat 5 cookies from each batch as you are baking? explain.
You make 3 batches of cookies to make bags for a sale. You put 5 cookies in each bag. Given 14(5)+2=3(24), what do the terms represent?

Answers

Answer 1

Answer: The answer to part a is the same if you eat 5 cookies from each batch as you are baking because the number of cookies you have is the product of the number of batches times the number of cookies per batch minus the number of cookies you eat.

In the expression 14(5) + 2 = 3(24)

14(5) represents the total number of cookies you put in 14 bags. (14 x 5) = 70

2 represents the number of cookies left after you have put 5 cookies in each of the 14 bags.

3(24) represents the total number of cookies you made from the 3 batches of cookies. (3 x 24) = 72

So the equation can be read as:

The total number of cookies you put in bags (70) plus the number of cookies left (2) is equal to the total number of cookies made from the 3 batches (72).

Step-by-step explanation:


Related Questions

Find the sum of the geometric sequence if the first term is -8, the common ratio is -3 and there are 10 terms

Answers

Answer:

Step-by-step explanation:

The formula for the sum of a geometric sequence is: S = a(1 - r^n) / (1 - r)

In this case, our a = -8, r = -3, and n = 10.

S = -8(1 - (-3)^10) / (1 - (-3))

S = -8(1 - (-59049)) / 4

S = -8(59049) / 4

S = -2362196

four distinct fair coins are tossed. if it is known that at least one of the coins shows a head, what is the probability that all coins show heads?

Answers

Since, Four distinct fair coins are tossed. if it is known that at least one of the coins shows a head . The probability that all coins show heads is 3/4.

Probability:

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes for an event. In an experiment with 'n' outcomes, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is:

  Probability (Event) = Favorable Outcome / Total Outcome = x/n

The probability of an event can be calculated using the probability formula by simply dividing the number of favorable outcomes by the total number of possible outcomes. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number can never be negative.

Given that:

Four District fair coins are tossed.

So, possible outcomes are

    HH,HT,TH,TT

We know that:

Probability= total possible outcomes / favorable outcomes

Now,

​Favorable outcomes = HH,HT,TH

And,

Probability = 3/4

Therefore, ​the probability that all coins show heads is 3/4.

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explain how to use arrays or area models to find factor pairs​

Answers

Answer: An array is a visual representation of a multiplication problem, and an area model is a way to represent a multiplication problem using rectangles. Both arrays and area models can be used to find factor pairs of a number.

Here's an example of how to use an array to find the factor pairs of 12:

Draw a rectangle that represents 12.

Divide the rectangle into smaller rectangles by drawing rows and columns.

Fill in the rectangles with the numbers 1 through 12.

Find the factor pairs by looking for the rectangles that have the same area as the original rectangle, 12.

The factor pairs of 12 are 1 and 12, 2 and 6, and 3 and 4.

Here's an example of how to use an area model to find the factor pairs of 12:

Draw a rectangle that represents 12.

Divide the rectangle into smaller rectangles by drawing rows and columns.

Label the rectangles with the factors of 12, which are 1, 2, 3, 4, 6 and 12.

Find the factor pairs by looking for the rectangles that have the same area as the original rectangle, 12.

The factor pairs of 12 are 1 and 12, 2 and 6, and 3 and 4.

Both arrays and area models are an effective way of finding the factor pairs of a number because they help you to visualize the multiplication problem and to see the relationship between the factors and the product.

Step-by-step explanation:

nd the local maximum and minimum values and saddle point(s) of the function. you are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (enter your answers as comma-separated lists. if an answer does not exist, enter dne.) f(x, y)

Answers

Answers : A(-1,0) is a local maximum point, B(-1,2) is saddle point, C(3,0) is also a saddle point, D(3,2) is the minimum point.

saddle point : a point on a curved surface at which the curvatures in two mutually perpendicular planes are of opposite signs

The function :

f(x , y) = x³ = y³ = - 3x² - 3y² - 9x

The first partial derivative with respect to x is:

f' x = 3x²-6x-9

And the partial derivative with respect to y is:

f' y = 3y²-6y

Now equate the above derivatives to zero, to obtain the system of equation:

3x²-6x-9 = 0

3y²-6y = 0

On solving the two equations:

The critical points are : A(-1,0), B(-1,-2), C(3,0) and D(3,2)

Now calculate the discriminant

D = f xx(x , y)f y(x , y)-f xy(x , y)²

Here,

f xx = 6x-6

f yy = 6y-6

f xy = 0

On putting the above values we get:

D = (6x-6)(6y-6)

At, A(-1,0)

D = -18<0

Hence , A(-1,0) is a local maximum point.

At, B(-1,2)

D = -72<0

Hence B(-1,2) is saddle point.

At, C(3,0)

D = -72

Hence C(3,0) is also a saddle point

At, D(3,2)

D = 12>0

Hence , D(3,2) is the minimum point.

Answers : A(-1,0) is a local maximum point, B(-1,2) is saddle point, C(3,0) is also a saddle point, D(3,2) is the minimum point.

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Indicate if each equation in the table has no solutions, one solution, or
infinitely many solutions.
Questions
} (8 – 24x) =12
6x
OA
O C
-
Answer
Choices
A. No Solution
B. One Solution
C. Infinitely many
solutions

Answers

The correct option is A, the linear equation has no solutions.

How many solutions does the equation has?

Here we want to see how many solutions do the equation below has:

(1/4)*(8 - 24x) = 12 - 6x

Now let's try to solve that linear equation, we can start by simplifying the left side:

(1/4)*(8 - 24x) = 12 - 6x

8/4 - 24x/4 = 12 - 6x

2 - 6x = 12 - 6x

Now we can add 6x in both sides, so we will get:

2 - 6x + 6x = 12 - 6x + 6x

2 = 12

That is a false equation, thus, the equation has no solutions.

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291 is the same as 359 increased by the product of 125 and m

Answers

The equation 291 = 359 + 125m represents the given phrase, and the required value of m is 2.33

What is Algebra?

Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.

The equation 291 = 359 + 125m can be solved for m by subtracting 359 from both sides, resulting in:

291 - 359 = 125m - 359

-68 = 125m - 359

Adding 359 to both sides gives:

-68 + 359 = 125m

291 = 125m

Dividing both sides by 125 gives the solution for m:

291 / 125 = 125m / 125

2.33 = m

So, m is equal to 2.33.

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The question seems incomplete, the completed question would be as:

If 291 is the same as 359 increased by the product of 125 and m. what is the value of f?

Which graph shows the solution to the system of linear equations? y equals one half times x x + 2y = 8 coordinate plane with one line that passes through the points 0 comma 4 and 2 comma 5 and another line that passes through the points 0 comma 0 and 2 comma 1 coordinate plane with one line that passes through the points 0 comma 4 and 2 comma 3 and another line that passes through the points 0 comma 0 and 2 comma 1 coordinate plane with one line that passes through the points negative 1 comma 2 and 0 comma 4 and another line that passes through the points 0 comma 0 and 1 comma 2 coordinate plane with one line that passes through the points 0 comma 4 and 2 comma 0 and another line that passes through the points 0 comma 0 and 1 comma 2

Answers

Answer:

a line

Step-by-step explanation:

y equals one half times x x + 2y = 8 coordinate plane with one line that passes through the points 0 comma 4 and 2 comma 5 and another line that passes through the points 0 comma 0 and 2 comma 1 coordinate plane with one line that passes through the points 0 comma 4 and 2 comma 3 and another line that passes through the points 0 comma 0 and 2 comma 1 coordinate plane with one line that passes through the points negative 1 comma 2 and 0 comma 4 and another line that passes through the points 0 comma 0 and 1 comma 2 coordinate plane with one line that passes through the points 0 comma 4 and 2 comma 0 and another line that passes through the points 0 comma 0 and 1 comma 2

Answer:

B)  A coordinate plane with one line that passes through the points (0, 4) and (2, 3) and another line that passes through the points (0, 0) and (2, 1)

Step-by-step explanation:

Given system of linear equations:

[tex]\begin{cases}y=\frac{1}{2}x\\x+2y=8\end{cases}[/tex]

Substitute the first equation into the second equation and solve for x:

[tex]\implies x+2\left(\dfrac{1}{2}x\right)=8[/tex]

[tex]\implies x+x=8[/tex]

[tex]\implies 2x=8[/tex]

[tex]\implies x=4[/tex]

Substitute the found value of x into the first equation and solve for y:

[tex]\implies y=\dfrac{1}{2}(4)[/tex]

[tex]\implies y=2[/tex]

Therefore, the solution to the given system of linear equations is:

(4, 2)

The point of intersection is the solution to a graphed system of linear equations.  

Therefore, the graph that shows the solution to the given system of linear equations is the graph where the point of intersection of the two lines is (4, 2).

What is the volume of a hemisphere with a radius of 44. 9 m, rounded to the nearest tenth of a cubic meter?.

Answers

The volume of a hemisphere with a radius of 44.9 m is approximately 189582.2 cubic meters, rounded to the nearest tenth.

To calculate the volume of a hemisphere, you can use the formula

V = (2/3)πr^3

where V is the volume, π is pi (approximately 3.14), and r is the radius. In this case, r = 44.9 m.

So, (2/3)π(44.9)^3 = 189582.234 cubic meters.

This is the exact volume, but since the question asked for the volume rounded to the nearest tenth, the final answer would be 189582.234 cubic meters. It's worth mentioning that a hemisphere is half of a sphere, thus, the volume of a full sphere with a radius of 44.9 m would be double of this value.

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Graph the image of the given triangle after the transformation with the rule (x, y)→(−x, y).

Select the "Polygon" button from the toolbar to plot your triangle. You may use the "Move" button to move the triangle after it is created.

Answers

A graph of the image of the triangle with vertices (4, 7), (3, 4), and (8, 2) after a transformation with the rule (x, y) → (−x, y) is shown in the image attached below.

What is a reflection?

In Geometry, a reflection over the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the coordinates of this triangle the image coordinates include the following:

(x, y)                               →              (-x, y)

Coordinate A = (4, 7)   →  Coordinate A' = (-(4), 7) = (-4, 7).

Coordinate B = (3, 4)   →  Coordinate B' = (-(3), 4) = (-3, 4).

Coordinate C = (8, 2)   →  Coordinate C' = (-(8), 2) = (-8, 2).

Next, we would use an online graphing calculator to plot the coordinates of the image as shown in the image attached below.

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PLEEEEESSSSEEEEEEEE HALPPPPPPPP

Answers

Larger I used to be taking them art classes

Answer:

0.75 is less than 1, so the portrait will be smaller than the actual head.

Step-by-step explanation:

The art teacher has said that the portrait will be 0.75 times as tall as the actual head.

0.75 is less than 1, so the portrait will be smaller than the actual head.

A ratio of 0.75 means that the portrait will be 3/4 the size of the actual head. So, if the actual head is 8 inches tall, the portrait will be 6 inches tall (8*0.75 = 6). Therefore, the portrait will be smaller than the actual head.

A boy ha 35 paperback book and 20 hardback book. What fraction of the book are hardback

Answers

The fraction of the books are hardback is 4 / 11.

In Mathematics, a fraction defined as the part of the whole thing. For example, a pizza is divided into four equal pieces, then each piece is represented by ¼. Fractions help to distribute and judge the numbers easily and make the calculation faster.

from given conditions, a boy ha 35 paperback book and 20 hardback book.

so, the total books are 35 paperback book + 20 hardback book = 55 books

fraction of books which are hardback book are,

20 / 55

= 4 / 11

Therefore, the fraction of the books are hardback is 4 / 11.

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A farmer has sixty three goats and twenty times as many sheeps. if the number of sheep he has is thirty times the number of his chickens , find the number of legs of the animals​

Answers

Answer:

I would really like to help but I have no idea

Construct a confidence interval of the population proportion at the given level of confidence.

x=120 n =1200 95% confidence

The upper bound of the confidence interval is ____ (round to the nearest thousandth as needed)

The lower bound of the confidence intervals is ____ (round to the nearest thousandth as needed)

Answers

The confidence interval's upper and lower bounds, respectively, are 0.117 for the higher and 0.083 for the lower.

What is proportion's subject?

The interaction between two or much more quantities is the focus of the branch of mathematics known as ratio and proportion. A key component of GCSE mathematics, ratio and proportion comprehension has connections to several subjects in number, algebra, geometry, probability, and statistics. An equilibrium for two ratios is a percentage. We use proportions to construct comparable ratios and find solutions to problems involving unknown numbers.

[tex]\begin{aligned}\bar{p} & =\frac{x}{n}=\frac{120}{1200}=0.10 \\\frac{\alpha}{2} & =\frac{1-\text { Confidence } \%}{2}=\frac{1-0.95}{2}=0.025 \\z_{1-\alpha / 2} & =z_{0.975}=1.960 \Rightarrow \text { Use the Excel formula "=NORMSINV(0.975)" }\end{aligned}[/tex]

[tex]S . E .=z_{1-\alpha / 2} \sqrt{\frac{\bar{p}(1-\bar{p})}{n}}=1.960 \sqrt{\frac{0.1(1-0.1)}{1200}}=0.017[/tex]

The confidence interval's top bound: [tex]\bar{p}[/tex] + S.E = 0.10 + 0.017 = 0.117

The confidence interval's lowest bound: [tex]\bar{p}[/tex] - S.E. = 0.10 - 0.017 = 0.083

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I need help with the following questions please!!!!!!

Answers

Step-by-step explanation:

f(-1) = (1/8)^-1 = 1/(1/8) = 8

f(0) = (1/8)⁰ = 1 (a⁰ = 1 for any a)

f(1) = (1/8)¹ = 1/8 = 0.125

f(2) = (1/8)² = 1/64 = 0.015625

f(3) = (1/8)³ = 1/512 = 0.001953125

remember

(a/b)ⁿ = aⁿ / bⁿ

in the same way as

(a×b)ⁿ = aⁿ×bⁿ

What is a 3 regular graph?

Answers

A 3-regular graph is called a cubic graph. A strongly regular graph is a regular graph where every adjacent pair of vertices has an equal number of neighbors in common, and every non-adjacent pair of vertices has an equal number of neighbors in common.

In the mathematical field of graph postulate, a cubic graph is a graph in which all vertices have a degree of three. In other terms, a cubic graph is a 3-regular graph. Cubic graphs are also known as trivalent graphs.

A bicubic graph is called a cubic bipartite graph.

In graph theory, a regular graph is a graph where each vertex has an equal number of neighbors; i.e. every vertex has an equal degree or valency.

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If the age of a person and three-fourth of his áge are added, the result becomes 70 years. Find the age of the person.​

Answers

the person is 40.

3/4 of 40 = 30
40+30=70

Convert the following degree measure to radian measure 98

Answers

98 degrees is approximately equal to 5.48 radians.

How to convert degree measure to radian measure?

To convert a degree measure to a radian measure, you can use the conversion factor of 180/π.

98 degrees is equal to (98*π)/180 radians

So, 98 degrees is approximately equal to 5.48 radians.

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Help me I need help on how to do this I will upload 13 questions this is number 1

Answers

The value of x is 85°

What is angle of a sector?

A circular sector, also known as circle sector or disk sector is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector

A sector is a region bounded by two radii of a circle and the intercepted arc of the circle. The angle formed by the two radii is called a central angle. A sector with a central angle less than 180° is called a minor sector. A sector with a central angle greater than 180° is called a major sector.

The sector where x is the minor sector

The angular distance is x and it is measured in degrees (°)

Therefore the value of x is 85°

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If
\[x^2 - 7x + c = (x + a)^2\]for some constants $a$ and $c,$ then find $c.$

Answers

Answer:

Step-by-step explanation:

[tex]x^{2} -7x+c=(x+a)^{2}[/tex]

[tex]x^{2} -7x+c=x^{2} +2ax+a^{2}[/tex]

[tex]-7x=2ax\\a=-7/2[/tex]

[tex]a^{2} =c\\c=(-7/2)^{2} =49/4[/tex]

The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The two companies, Shirt Box and Just Tees, are represented by this system of equations where x is the number of T-shirts and y is the total cost of the T-shirts. y

Answers

Therefore , the solution of the given problem of linear equation comes out to be  $105 is the total cost

The definition of a linear equation.

A linear regression model is one that uses the equation y=mx+b. The slope is B, and the y-intercept is m. The preceding sentence is commonly referred to as a "math equation with two variables," despite the fact that both y and x are separate factors. The only variables in bivariate linear equations are two. In all circumstances, the solutions to linear equations' application domains are zero. Y=mx+b is the formula for a single linear equation.

Here,

The first company's equation is y = 10.5x.

Additionally, the second company's equation is y = 7.5x + 30.

Where

number of T-shirts equals x.

y = overall cost

For the overall cost to be the same for both businesses, we have to:

=> 10.5x = 7.5x + 30

=> 10.5 x - 7.5 x = 30

=> 3 x = 30

=> x = 30/3

=> x = 10

To make the T-shirts' prices equal, the volleyball team must purchase 10 from each vendor.

Total for each business:

=> 10.5x = 10.5 (10) = $ 105

OR

Totals for each company are calculated as follows:

=> 7.5x + 30 = 7.5(10) + 30 = 75 + 30

=> $105

Therefore , the solution of the given problem of linear equation comes out to be  $105 is the total cost.

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Find the area of the shaded triangle

Answers

The area of shaded triangle is 20 square feet

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.

Area of triangle = 0.5*base*height

Area of whole triangle = 0.5*8*10 =  40 square feet

Area of unshaded triangle = 0.5*4*10 =  20 square feet

Area of shaded triangle

= Area of whole triangle  - Area of unshaded triangle

=  40 - 20

= 20 square feet

Thus, the area of shaded triangle is 20 square feet

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How do I do this step by step

Answers

Answer:

84

Step-by-step explanation:

this is an isosceles triangle so the base angles are equal meaning <BAC= <BCA =48°

48° +48° =96°

180°- 96° = 84°

<ABC = 84°

Select the expressions that are equivalent to 5(4u).

20u - u+20 - u+9 - 5(u+3u)

Answers

The expressions that are equivalent to 5(4u) will be 20 u and 5(u + 3u).

How to calculate the expression?

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. The expression that is equivalent to 5(4u) will be:

= 20 u

and

5(u + 3u)

= 20u

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Can someone please please help mke i was suppose to finnish this at least 2 weeks ago please can someone answer these 3 question for at leat 150 or 200 points.

Answers

The ratios are 80 : 2/3, 10 : 1/12 and 90 : 3/4 for the equivalent ratio 20 : 1/6.

What is equivalent ratio?

By dividing both the antecedent and consequent values by a similar fraction, equivalent ratios can be reduced to the same value. In other words, two ratios are deemed equivalent if the bigger one in value can be expressed as a multiple of the other.

Therefore, we only need to multiply the two amounts by the same number to obtain the equivalent ratio of another ratio. Equivalent ratios and equivalent fractions both have similar ideas. Examples of equivalent ratios include 1:2 and 4:8, 3:5 and 12:20, 9:4 and 18:8, etc.

20 : 1/6

Multiply both by 6

120  : 1

Thus, 120 × 2/3  : 1 × 2/3

80 : 2/3

multiply by 3

80 × 3 : 2/3 × 3

240 : 2

120 : 2

When ratio is 120  : 1

divide both by 120

120/120  : 1/120

1 : 1/120

1 × 10 : 1/120 × 10

10 : 1/12

multiply by 12

120 : 1

1 × 90 : 1/120 × 90

90 : 3/4

multiply by 4

90 × 4 : 3/4 × 4

360 : 3

120 : 1

Thus, the ratios are 80 : 2/3, 10 : 1/12 and 90 : 3/4 for the proportion 20 : 1/6.

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The diameter of the Sun is 1.4 x 10 9 m and that of the Earth is 1.2756 x 10 7
m. Approximately how many times is the diameter of the sun greater as compared
to that of the earth ?

Answers

Answer:

The Sun has 1.0975 x 10^2  times the diameter of Earth

Step-by-step explanation:

Diameter of Sun = 1.4 x 10^9 m

Diameter of Earth = 1.2756 x 10^7 m

ratio between Diameter of Sun and Earth :-

Diameter of Sun/Diameter of Earth = 1.4 x 10^9/ 1.2756 x 10^7

= 1.0975 x 10^2

please help me.

What is

Answers

Answer:

90

Step-by-step explanation:

The symbol represented in the angle is the right angle symbol ∟

This means that the angle would be 90

Have a lovely day :)

Answer:

There's no m so I'm assuming you meant b.

The angle of b is 121

Step-by-step explanation:

The shape here is a heptagon. The formula for calculating the sum of interior angles is ( n − 2 ) × 180. *n represents the number of sides.

(7-2) × 180               There are 7 sides so plug that in.

(5) × 180 = 900       This means the shape's interior angles add up to 900.

Now, all we have to do is add up all the sides known and set it equal to 900.

c + d + e + f + g + a = 900

148 + 90 + 142 + 130 + 139 + 130 + b = 900

779 + b = 900              

now subtract 779 from both sides to isolate b.

b = 121

             

The graph shows the depth in feet of snow after each two-hour period during a snowstorm. Find the slope of the line. Enter your answer an an integer or decimal.

Answers

Answer:

.5 or 1/2

Step-by-step explanation:

1-.5      .5

------=------- simplify= .5 slope is in fractions 1/2

2-1       1

Can someone help me with this? I need an equation and the cup of nuts. It’s due tmr

Answers

Answer:

Step-by-step explanation:

I assume that the amount of peanut butter chips in original recipe is [tex]1\frac{1}{2}[/tex] c (the picture isn't clear!)

2( [tex]1\frac{1}{2}[/tex] + x ) = [tex]4\frac{1}{2}[/tex]

[tex]1\frac{1}{2}[/tex] + x = [tex]4\frac{1}{2}[/tex] ÷ 2

[tex]1\frac{1}{2}[/tex] + x = [tex]2\frac{1}{4}[/tex]

x = [tex]2\frac{1}{4}[/tex] - [tex]1\frac{1}{2}[/tex] = [tex]1\frac{5}{4}[/tex] - [tex]1\frac{2}{4}[/tex] = [tex]\frac{3}{4}[/tex]

There is [tex]\frac{3}{4}[/tex] of a cup of nuts in original recipe.

What is the product? help

Answers

Answer:

C. 14x^7-56x^6-126x^5+35x^4-140x^3-315x^2

I'm only providing an answer but if you need an explanation you can ask me because I did it in my journal.

Pls mark as brainliest ;)


Hannah has two bags of sweets.
In the first bag there are 5 red sweets and 7 green sweets.
In the second bag there are 7 red sweets and 4 green sweets.
Harmah takes at random a sweet from the first bag.
She then takes at random a sweet from the second bag.
(a) Complete the probability tree diagram.
first bag
red
green
11
second bag
red
(b) Work out the probability that Hannah takes two green sweets.
green
. red.
green
(2)
28
The size of each interior angle of an
Work out how many sides the poly

Answers

Answer:

(a) Refer below for the Probability tree diagram

(b) [tex]\frac{7}{33}[/tex]

Step-by-step explanation:

(a) Probability tree diagram:

First bag:                                         Second bag

                                                       Red: [tex]\frac{7}{7 + 4}[/tex] = [tex]\frac{7}{11}[/tex]

Red: [tex]\frac{5}{12}[/tex]                                

                                                      Green:[tex]\frac{4}{7 + 4}[/tex] = [tex]\frac{4}{11}[/tex]

                                                        Red: [tex]\frac{7}{11}[/tex]

Green [tex]\frac{7}{12}[/tex]      

                                                        Green: [tex]\frac{4}{11}[/tex]      

(b) Probability that Hannah takes two green sweets:

Green sweet from first bag AND green sweet from second bag

= [tex](\frac{7}{12}).(\frac{4}{11} )[/tex]

= [tex](\frac{28}{132})[/tex]

Divide the numerator and denominator by the highest common factor (i.e  4)

= [tex]\frac{7}{33}[/tex]                                                    

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