Maggie purchased a 2-pound roast to fix for dinner. How many ounces does the roast weigh?

The percent of the front page taken up by the prom story is 20%

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

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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The amount that would be in the account when Alana is 21  is $2890

We have to know the formula for simple interest.

This is expressed as;

S.I = PRT/100

Given that the parameters of the formula are enumerated as;

From the information given, substitute the values, we have;

SI = 1000 × 9 × 21/100

Multiply the values,

Then, divide by the denominator, we have;

SI = $1890

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The value of 8x over 2y is  \(\frac{4x}{3(x-4)}\)

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well,

for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation. Look at the image below to understand the parts of an equation.

Given:

3x- y = 12

So,

y = 3x - 12 = 3( x-4)

Now,

8x/2y

=4x/y

=4x/ 3(x-4)

=\(\frac{4x}{3(x-4)}\)

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Answer:

Add 9.6 then divide by 3.2

The product of any two terms in the sequence is also a term in the sequence has been proved.

What is a sequence?

A series is an ordered collection of numbers (or other things like geometric objects), and it typically has a particular structure or function. Sequences can be A series is an ordered collection of numbers (or other things like geometric objects), and it typically has a particular structure or function. Sequences can be either infinite or illimitable in length.either infinite or illimitable in length.

Suppose there is a sequence 3, 9, 27, 81.

Taking product of first two numbers, we get

3 × 9 = 27

We can see that the term 27 is present in the sequence.

This represents that in a sequence, the product of two numbers will be the term in the sequence.

Hence, the product of any two terms in the sequence is also a term in the sequence.

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Answer:

A. 11

Step-by-step explanation:

Since the measure of (4x- 6) is 90°, you would first solve the equation for x

4x - 6 = 90

4x - 6 + 6 = 90 + 6

4x = 96

x = 24°

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

Since (4x - 6) was a right angle, (x + 6y) is also a right angle. Therefore, you would do:

x + 6y = 90

24 + 6y = 90

24 + 6y - 24 = 90 -24

6y = 66

y = 11°

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

Hope this was helpful!!!

According to the trignonmentry of half angles, the value of sin(x/2) is  √(1-5/6)/2, cos(x/2) is √(1+5/6)/2 and the value of tan(x/2) is √11/6/(√(1 + 5/6)

Trigonometry of half angles

Trigonometry of half-angle formula is used to determine the exact values of the trigonometric ratios of angles such as 15° that is half of the standard angle 30° and 22.5° that is the half of the standard angle 45 and so on. So if θ is an angle, then the half angle is represented by θ/2.

Given,

Here we need to find if cos(x)=5/6 , and x is in quadrant I, determine the exact value of each of the following.

sin(x/2), cos(x/2), tan(x/2).

According to the concepts in trigonometry,

We know that the following formulas.

=> sin(x/2) = √(1-cosx)/2

=> cos(x/2) = √(1+cosx)/2

=> tan( x/2)=sin x/1+cosx

Here we know that cos (x) = 5/6

Thus implies that 5 is the opposite and 6 is the hypotenuse, then the adjacent is

Therefore, we can calculate the value of the adjacent a as,

=> a = √(6²-5²)

=> a = √36-25

=> a= √11

Therefore the value of sin x= √11/6

So, the value of sin(x/2)= √(1 - 5/6)/2

And the value of cos(x/2)= √(1 + 5/6)/2

Finally, the value of tan(x/2)=√11/6/(√(1 + 5/6)

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58 = 37 + x

58 - 37 = 37 - 37 + x

21 = x

Result

x = 21

Answer:

21 = x

Step-by-step explanation:

58 = 37+ X

solve for X

Subtract 37 from each side

58 -37 = 37+x-37

21 = x

Answer:

96

Step-by-step explanation:

X be the total containers bought

Sales - cost = profit

4.08(X - 14) - 2.6X = 84.96

4.08X - 2.6X - 57.12 = 84.96

1.48X = 142.08

X = 96

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer: b. 11.234

Step-by-step explanation:

used ti84

put in values in list 1

go into 1-var stats

find Sx which is the stand dev for sample

Answer:

90 feet

Step-by-step explanation:

perimeter = 30x2 + 15x2 = 90 feet

Answer:

Probability that student will be a girl = 17 / 28

Step-by-step explanation:

Given:

Total number of student = 28 student

Number of boys in the class = 11

Find:

Probability that student will be a girl = ?

Computation:

⇒ Number of girls in class = Total number of student - Number of boys in the class

⇒ Number of girls in class = 28 - 11

⇒ Number of girls in class = 17

⇒ Probability that student will be a girl = Number of girls in class / Total number of student

⇒ Probability that student will be a girl = 17 / 28

Step-by-step explanation:

Hello there!

This is how we solve this problem

7/8 ÷ 2 1/4

\( \frac{7}{8} \div 2 \frac{1}{4} \: conveting \: to \: improper \: faction\\ \\ = \frac{7}{8} \div \frac{9}{4} \\ = \frac{7}{8} \times \frac{4}{9} \: multiply \: through \\ = \frac{7}{18} \)

= 7/18

I hope this helps.

Have a nice studies.

Answer:

210 ways

Step-by-step explanation:

7 P 3 = 210  ways

or    7 C 3 = 35     choices of 3 posters which can bearrranged in 6 different ways     6 * 35 = 210 ways

Answer:

1 / 25

Step-by-step explanation:

4% in fraction form is 1 / 25

Hello there! (:

4% =4/100

Our fraction can be simplified:

2/50

Divide by 2, because it's not it its simplest form:

1/25

Hope it helps!

#CarryOnLearning

\(SparklingFlower\)

Answer:

33°

Step-by-step explanation:

you add the two numbers together and subtract from 180° to get your answer

5(-2) - 6(-3) = 8

-10 + 18 = 8

Yes, it is, because the value is the same as in the equation.

Answer:

9/2 is the slope of the graphed line.

The second statement is true.

Step-by-step explanation:

The equation of the line is y = x.

To find the equation of a line given its graph, you need to follow the steps below.

Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.

Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.

Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.

Example:Let's say you are given the graph of a line below: .

Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.

Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.

Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.

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Using the uniform distribution, there is a 0.6667 = 66.67% probability that it takes a randomly selected customer more than 30 seconds to connect to the internet.

It is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.

The probability of finding a value above x is:

\(P(X > x) = \frac{b - x}{b - a}\)

For this problem, the connection time has parameters a = 20 sec and b = 50 sec, as stated in the problem.

The probability that it takes a randomly selected customer more than 30 seconds to connect to is P(X > 30).

Hence, applying the formula, with the bounds, we have that:

P(X > 30) = (50 - 30)/(50 - 20) = 2/3 = 0.6667.

The measure above is the desired probability.

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Answer:

C) 5/36

Step-by-step explanation:

Now, suppose, dice 1 gives 2. Here also, dice 2 can be anything between 1 and 6. But, the sum of both the dices will be 8 only if dice 2 shows 6.

Similarly, now, if dice 1’s face is 3, sum will be 8 only if dice 2’s upper face shows 5.

If dice 1 shows 4, sum = 8 only if dice 2 is 4.

If dice 1 is 5, sum = 8 only if dice 2 is 3.

If dice 1 is 6, sum= 8 only if dice 2 is 2.

Therefore, sum will be 8 only 5 times. But, sample space consists of 36 values ( combination of values of dice 1 and dice 2).

Therefore, probability = 5/36.

Hope it helps.

Answer:

Now, suppose, dice 1 gives 2. Here also, dice 2 can be anything between 1 and 6. But, the sum of both the dices will be 8 only if dice 2 shows 6.

Similarly, now, if dice 1’s face is 3, sum will be 8 only if dice 2’s upper face shows 5.

If dice 1 shows 4, sum = 8 only if dice 2 is 4.

If dice 1 is 5, sum = 8 only if dice 2 is 3.

If dice 1 is 6, sum= 8 only if dice 2 is 2.

Therefore, sum will be 8 only 5 times. But, sample space consists of 36 values ( combination of values of dice 1 and dice 2).

Therefore, probability = 5/36.

Hope it helps.

Step-by-step explanation:

The function represented by the graph given is equivalent to -

g(x) = (x - 4)².

The function plotted represents a quadratic equation. A quadratic equation has a degree of 2. The given function is shifted to the left by 4 units. This means that the following transformation will take place on the x - coordinate of each and every point lying on the graph -

f(x, y) → f(x - 4, y)

So, we can write the function as -

g(x) = (x - 4)²

So, the function represented by the graph given is equivalent to -

g(x) = (x - 4)²

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Answer:

60 boxes

Step-by-step explanation:

1. First find 20% of 60 (multiply 60 by .2) to get 12.

2. So 12 teachers will donate 5 boxes each (12 x 5=60)

Answer: The answer would be 60 boxes.

Step-by-step explanation: If there are 60 teachers and only 20% of the teachers donate, then you could say that there is only 0.2 of the teachers who donated boxes. This gives you 0.2 times 60 which equals 12. If each teacher donates 5 boxes each and there are 12 teachers who donated, then there would be a total of 60 boxes donated.

Hope this helps.

The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).

In order to run a successful charity event for 6 people, it is important to ensure that everyone has something to enjoy.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.


One way to do this is to provide cupcakes to one out of every three people. This will ensure that some people get a special treat while the others still have a chance to get one if they come to the event again. It also allows for a sense of fairness and equality, as everyone has an equal chance of receiving a cupcake. Additionally, it helps to build a sense of community and fellowship among the participants, as they can share the cupcakes and enjoy the experience together. It is also a great way to raise awareness about the charity and its cause, as people can talk about it while enjoying the cupcakes. To make sure that the event runs smoothly, it is important to have plenty of cupcakes on hand and to make sure that everyone is aware of the rules for receiving one.

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Answer:

7. 4x^4-12x^3+7x^2+3x-2

8. x^6-4x^5+9x^4-24x^3+27x^2-36x+27

9. -x^2+3x-8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

Answer:

1:1.5

Step-by-step explanation:

if 10:15 when we divide both sides by 10 w get 1:1.5