a. y = 3x + 1 and x + y = 5
How do you solve this?

Answer:

Most 1995 pennies in circulated condition are only worth their face value of $0.01. These coins can only sell for a premium in uncirculated condition. The 1995 penny with no mint mark and the 1995 D penny are each worth around $0.30 in uncirculated condition with an MS 65 grade.

Step-by-step explanation:

hope this helps.

The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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Answer:

5x - 2y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

4(2x - y) - 3x + 2y

Step 2: Simplify

p+5 is the  algebraic expression for 5 plus a number p

An expression is combination of variables, numbers and operators.

The given sentence is 5 plus a number p

In the given sentence the number p is a variable.

variable is a symbol used to represent a number.

algebraic expression for 5 plus a number p

p+5

Hence, p+5 is the  algebraic expression for 5 plus a number p

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Answer:

I will help you with the first one

Step-by-step explanation:

x=  -3  -2  -1  

y=  -4  -3  -2.59

Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.

Equation is a mathematical statement that expresses two expressions as equal. It consists of two expressions separated by an equal sign (=). An equation is used to solve for a unknown value by using known values and following the rules of algebra and arithmetic. Equations can be used to solve for a single unknown, multiple unknowns, and even non-numeric values.

Given that the total cost for parking and four tickets to a baseball game is $175.00.

$25 is the parking fee.

4 tickets cost $175 - $25.

Suppose that each ticket costs t.

t =($175 - $25)/4

Each ticket costs $37.5.

The equation follows.Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.

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Yes, the expression (64+28+76)/6 makes sense as it represents the average quantity of juice per unit when combining all the shown juices.

To determine whether the expression (64+28+76)/6 makes sense, we need to evaluate the components of the expression and consider whether the mathematical operations are valid.

The expression (64+28+76)/6 represents the sum of three numbers (64, 28, and 76), divided by 6. Let's break it down step by step:

Addition: We have three numbers being added together: 64, 28, and 76. The sum of these numbers is 168 (64 + 28 + 76 = 168).

Division: The sum of the three numbers, 168, is then divided by 6. Division is a valid mathematical operation.

Now, let's analyze whether the expression makes sense in the context of Stephen combining all the juice to make fruit punch. The numbers 64, 28, and 76 may represent quantities of juice (in some units) that Stephen is combining. However, without further information or context, we cannot determine if the expression accurately represents the combination of these juices.

If the numbers 64, 28, and 76 represent quantities of juice in the same units (such as milliliters or liters), then the expression (64+28+76)/6 would represent the average quantity of juice per unit. The result, 168/6, would be 28. This would imply that each unit (e.g., glass or serving) of the fruit punch contains an average of 28 units of juice.

In summary, mathematically, the expression (64+28+76)/6 is valid. However, without additional context regarding the units or quantities being represented, it is not possible to determine whether the expression accurately describes the process of combining the juices to make fruit punch.

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Therefore , the solution of the given problem of expressions comes out to be  potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

Instead of producing estimates at random, it is preferable to use expanding, decreasing, & blocking moving numbers. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. In addition to arithmetic operations like addition, negation, synthesis, and combination, a truth statement may also contain formulas, components, and notations. It is feasible to evaluate and analyse both sentences as words.

Here,

The gravitational potential energy of the bird at a height of 550m can be determined using the following formula, assuming you meant to say "0.52 kg bird" instead of "0.52k bird":

Mass times gravity times height equals gravitational potential energy.

where mass is measured in kilogrammes, gravity is the force of gravity, which accelerates objects near the Earth's surface at a rate of around 9.81 m/s2, and height is measured in metres.

Inputting the values provided yields:

The gravitational potential energy is equal to

=> 0.52 kg * 9.81 m/s2 *550 m,

=> 2,798.46 joules.

Hence, the bird's gravitational potential energy at 550 metres of altitude is roughly 2,798.46 Joules.

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The answer is: Option C

We have been given the function:

In order to find the period for this equation, we must compare it with the standard waveform equation.

This standard equation is given below:

When we compare the equation from the question with this standard form, we get:

Answer:

$300

Step-by-step explanation:

If you take 5 and divide it by 150 it give you $30 which then you multiply by 10 to get $300

Matt ate 1/6 of the bag of peanut

Matt had 4/6 bag of peanut

He ate a quarter of what was in the bag

The amount of peanut he ate can be calculated as follows

= 4/6 × 1/4

= 4/24

= 1/6

Hence Matt ate 1/6 of the bag of peanut

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Answer:

B) a local beach.

At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.

Step-by-step explanation:

Hope it helps! =D

Answer:

invalid question because there is no way multiplying 3 with a number will result to 0

The logic for the algorithm is Traverse both linked lists, comparing corresponding elements.

To determine if two circular linked lists, l and m, store the same sequence of elements, we can use the following algorithm:

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Answer:

x = 10.5

Step-by-step explanation:

3x - 30 = 1.5

3x = 31.5

x = 10.5

Answer: B

Step-by-step explanation:

Answer:

1.  3 factors

2.  2 terms

Step-by-step explanation:

1.  

\(\text{The entire expression} \ \frac{1}{2} \left( 2a+1\right) \left( a+3\right)\)

is the product of 3 factors.

The 3 factors are :

1/2  and  (2a + 1)  and  (a + 3)

2.

On its own, (2a + 1) is a sum with 2 terms.

The two terms are :

2a  and  1

Consider the expression

\( \frac{1}{2}(2a + 1)(a + 3)\)

Complete 2 descriptions of the parts of the expression.

1. The entire expression is the product of 3 factors.

2. On its own, (2a + 1) is a sum with 2 terms.

Answer:

m=-3

Step-by-step explanation:

The Slope-Intercept form of an equation of a line, is:

Where "m" is the slope and "b" the y-intercept.

You know that this line passes through the point (-1,3) and its slope is 2. Then:

Substitute these values into the equation and solve for "b":

Knowing "m" and "b", you can determine that the Slope-Intercept form of the equation of this line, is:

Since the value of "y" is zero when a line intersects the x-axis, you can substiute that value into the equation in Slope-Intercept form and solve for "x", in order to find the x-intercept:

The Standard form of the equation of a the line, is:

Where "A", "B" and "C" are Integers ("A" must be positive).

So, the Standard form of this equation is:

Therefore, the answers are:

a) Slope-Intercept form:

b) Standard form:

c) x-intercept:

d) y-intercept:

Answer:

Step-by-step explanation:

A right triangle has one right angle and two acute angles.

A and B are the acute angles.

A+B =  90°

One acute angle is 45 less than twice the other acute angle.

A = 2B-45°

(2B-45°) + B = 90°

3B = 135°

B = 45°

A = 45°

mass=density×volume

mass=4.7(cm³)×19.3(g/cm³)=90.71 g

Answer:

See below

Step-by-step explanation:

It has something to do with the Weierstrass substitution, where we have

\($\int\, f(\sin(x), \cos(x))dx = \int\, \dfrac{2}{1+t^2}f\left(\dfrac{2t}{1+t^2}, \dfrac{1-t^2}{1+t^2} \right)dt$\)

First, consider the double angle formula for tangent:

\(\tan(2x)= \dfrac{2\tan(x)}{1-\tan^2(x)}\)

Therefore,

\(\tan\left(2 \cdot\dfrac{x}{2}\right)= \dfrac{2\tan(x/2)}{1-\tan^2(x/2)} = \tan(x)=\dfrac{2t}{1-t^2}\)

Once the double angle identity for sine is

\(\sin(2x)= \dfrac{2\tan(x)}{1+\tan^2(x)}\)

we know \(\sin(x)=\dfrac{2t}{1+t^2}\), but sure,  we can derive this formula considering the double angle identity

\(\sin(x)= 2\sin\left(\dfrac{x}{2}\right)\cos\left(\dfrac{x}{2}\right)\)

Recall

\(\sin \arctan t = \dfrac{t}{\sqrt{1 + t^2}} \text{ and } \cos \arctan t = \dfrac{1}{\sqrt{1 + t^2}}\)

Thus,

\(\sin(x)= 2 \left(\dfrac{t}{\sqrt{1 + t^2}}\right) \left(\dfrac{1}{\sqrt{1 + t^2}}\right) = \dfrac{2t}{1 + t^2}\)

Similarly for cosine, consider the double angle identity

Thus,

\(\cos(x)= \left(\dfrac{1}{\sqrt{1 + t^2}}\right)^2- \left(\dfrac{t}{\sqrt{1 + t^2}}\right)^2 = \dfrac{1}{t^2+1}-\dfrac{t^2}{t^2+1} =\dfrac{1-t^2}{1+t^2}\)

Hence, we showed \(\sin(x) \text { and } \cos(x)\)

======================================================

\(5\cos(x) =12\sin(x) +3, x \in [0, 2\pi ]\)

Solving

\(5\,\overbrace{\frac{1-t^2}{1+t^2}}^{\cos(x)} = 12\,\overbrace{\frac{2t}{1+t^2}}^{\sin(x)}+3\)

\(\implies \dfrac{5-5t^2}{1+t^2}= \dfrac{24t}{1+t^2}+3 \implies \dfrac{5-5t^2 -24t}{1+t^2}= 3\)

\(\implies 5-5t^2-24t=3\left(1+t^2\right) \implies -8t^2-24t+2=0\)

\(t = \dfrac{-(-24)\pm \sqrt{(-24)^2-4(-8)\cdot 2}}{2(-8)} = \dfrac{24\pm 8\sqrt{10}}{-16} = \dfrac{3\pm \sqrt{10}}{-2}\)

\(t=-\dfrac{3+\sqrt{10}}{2}\\t=\dfrac{\sqrt{10}-3}{2}\)

Just note that

\(\tan\left(\dfrac{x}{2}\right) = \dfrac{3\pm 8\sqrt{10}}{-2}\)

and  \(\tan\left(\dfrac{x}{2}\right)\) is not defined for \(x=k\pi , k\in\mathbb{Z}\)

7.2

1) Examining the picture, we can assume this is a Right Triangle, and then use the Pythagorean Theorem

a²=b² +c²

14² = 12² +c² The hypotenuse is the larger side a

196=144 +c²

196-144 = c²

52 =c²

√52 =√c²

c= √52

2) Rounding off to the nearest tenth we can write

c= √52 is approximately 7.2

Answer: 90,000

Step-by-step explanation:

The ounces of shaving cream will be 230 ounces.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue ,the shaving cream will be:

= 56 ÷ 7/15

= 56 × 15/7

= 120

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The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

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Answer:

18 cookies

Step-by-step explanation:

3/4 = 75%

75% = 0.75

Multiply this by 24 = 18 cookies

The measure of each of the angles are 126 and 54 degrees

The sum of angles that is equivalent to 180 degrees are supplementary angles.

If one of two supplementary angles is 12° more than one-third of the other angle, hence the angles are;

x and 1/3x +12

Take the sum and equate to 180 degrees

x +1/3x + 12 = 180

4/3 x = 180 - 12

4/3x = 168

4x = 168 * 3

x = 42 * 3

x = 126

Other angle = 180. - 126

Other angle = 54 degrees

Hence the measure of each of the angles are 126 and 54 degrees

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