Look at the sample work shown and determine the error, if any.

The multiplication property of equality was not performed correctly.

The addition property of equality was not used correctly.

There are no mistakes.

Answer:

x = 16

Step-by-step explanation:

subtract 12 from both sides to isolate the variable and its coefficient

4x = 64

divide both sides by 4 to get x

x = 16

Answer:

x = 16

Step-by-step explanation:

4x+12=76

Step 1: Subtract 12 from both sides.

4x + 12 - 12 = 76 - 12

4x = 64

Step 2: Divide both sides by 4.

\(\frac{4x}{4} = \frac{64}{4}\)

x = 16

Step-by-step explanation:

Speed =  distance / time    

  you are given distance = 23 miles  and time = .5 hr

      distance / time =  23 miles / .5 hr =   46 mph

Answer:

Halfed

Step-by-step explanation:

For example

2 = 2 x 1

Now let's say I half the I

1 = 1 x1

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172

Answer:

The correct answer is C. $575. The business bought equipment with $150 cash and put $425 on credit, so the total value of the asset is $575 ($150 + $425).

Answer: We can use tangent here to find the length of the flagpole

First, find the length of the building + the flag pole

tan 32 = x/300

x=300tan32=187.460805573

(length of building + flagpole)

find length of building

tan 30 = x/300

x=173.205080757

subtract

187.460805573-173.205080757=14.255724816

round, length of flagpole = 14 feet

The length of the flagpole is 14.26 feet.

In a triangle, if A be the adjacent side of the angle C & B be the opposite, then tan C = Opposite side/ Adjacent side  = B/A

Let, Length of building + length of flagpole = x

Distance from the base of the building = 300 feet

Then, tan32° = x/300

⇒ x = 300 tan32°

⇒ x = 187.46

Now, let, length of the building = y

Then, tan30° = y/300

⇒ y = 300 tan30°

⇒ y = 173.2

So, length of the flagpole = 187.46-173.2 =14.26 feet

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Answer:

Step-by-step explanation:

4(30+5)

4(30)+4(5)

120+20

140

The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

A = -6 and B = 65

From the question, we are to express the given expression in the form (x + A)^2+B by completing the square

The given expression is

x² -12x + 101

Using the completing the square method

x² -12x + 101

Divide the coefficient of x by 2 and then square it

The coefficient of x is -12

Dividing by 2, we get

-12/2 = -6

Squaring

(-6)²

Now, add and subtract this value from the expression

x² -12x + (-6)² + 101 - (-6)²

Then, we can write that

(x - 6)² + 101 - (-6)²

(x - 6)² + 101 - 36

(x - 6)² + 65

Thus,

The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

By comparison,

A = -6

and

B = 65

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The measure of angle QRS in triangle QRS is found as 56.8 degrees.

An angle is  formed when two straight lines or rays meet at a common endpoint.

We know  that the sum of the angles in a triangle is  180 degrees.

In triangle QRS,  

angle RSQ = 48.2 degrees

angle SQR = 75 degrees.

48.2 + 75 + QRS  = 180 (sum of angles in a triangle)

123.2 + QRS  = 180

QRS  = 180 - 123.2

QRS  = 56.8

In conclusion, a triangle is described as a polygon with three edges and three vertices.

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Answer:

- 3.2

Step-by-step explanation:

- 5x + 4 = 20

- 5x = 20 - 4

- 5x = 16

x = 16 / - 5

x = - 3.2

Answer:

∠ W = 53°

Step-by-step explanation:

the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is

∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°

Answer:

x>-4

Step-by-step explanation:

The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.

The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.

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Answer:

-1 or 1/-1

Step-by-step explanation:

Answer:

the answer is -1 hope this helps ت︎シ︎☽︎❣︎

it's 11682 hope this helps

Substitute x=1 in the above expression.

Given:

Substitute x=1 in the above expression.

The value of both the expression are aproximately equals to 1.134 .Thus, the corect option is the first one, 'The value of x=1 yeild approximately 1.134 for each expression, so the '

Answer:

Step-by-step explanation:

x + 80 = 180

x = 100

answer is B

Answer:

3. the individual parts of an expression.

Step-by-step explanation:

an example would be 5x + 2y - 6

5x, 2y, and 6 are all terms that are separated by symbols like +,-,× etc.

Answer:

Step-by-step explanation:

Select a pair that has two angles and the included side marked

Correct choice is B

Given

Rectangle area is the product of its sides.

Side MN is 5 as per difference in x- coordinates.

The other side has length of 20/5 = 4 units.

Side KL is side MN elevated 4 units up.

So the point L has coordinates (0,4) and K has coordinates of (5, 4)

Correct choice is B

The probability mass function (PMF) of N can be determined by finding the probability that N = k, for each k = 1, 2, 3, ....

Let p_k = P(N = k) be the probability that the first bid that is better than the initial bid X_0 is the kth bid. We can calculate p_k as follows:

p_k = P(X_k > X_0, X_1 < X_0, X_2 < X_0, ..., X_{k-1} < X_0) = P(X_k > X_0 | X_1 < X_0, X_2 < X_0, ..., X_{k-1} < X_0) * P(X_1 < X_0, X_2 < X_0, ..., X_{k-1} < X_0)

Since X_0, X_1, ... are independent and identically distributed, we have:

p_k = P(X_k > X_0) * (P(X_1 < X_0))^{k-1}

To find the mean E[N], we need to calculate the expected value of N. The expected value of N is given by:

E[N] = 1 * p_1 + 2 * p_2 + 3 * p_3 + ... = ∑_{k=1}^∞ k * p_k

Since p_k = P(X_k > X_0) * (P(X_1 < X_0))^{k-1}, we can write E[N] as:

E[N] = ∑_{k=1}^∞ k * P(X_k > X_0) * (P(X_1 < X_0))^{k-1}

To find E[N], we need to know the distribution of X_0, X_1, .... Unfortunately, without further information on the distribution of X_0, X_1, ..., it is not possible to determine the PMF of N or the mean E[N].

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The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.

Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.

From the information given, we can set up the following equations:

Eugene's spending:

18h + 6g = $150

Jessica's spending:

7h + 16g = $113

We can now solve this system of equations to find the values of 'h' and 'g'.

Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:

36h + 12g = $300

21h + 48g = $339

Now, we can subtract the second equation from the first to eliminate 'h':

(36h + 12g) - (21h + 48g) = $300 - $339

36h - 21h + 12g - 48g = -$39

15h - 36g = -$39

Simplifying further, we have:

15h - 36g = -$39

Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.

Let's solve for 'h':

15h = 36g - $39

h = (36g - $39) / 15

Substituting this value of 'h' into Eugene's equation:

18[(36g - $39) / 15] + 6g = $150

(648g - $702) / 15 + 6g = $150

648g - $702 + 90g = $150 * 15

738g - $702 = $2250

738g = $2250 + $702

738g = $2952

g = $2952 / 738

g ≈ $4

Now, substituting the value of 'g' back into Eugene's equation:

18h + 6($4) = $150

18h + $24 = $150

18h = $150 - $24

18h = $126

h = $126 / 18

h ≈ $7

Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

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The graph shows a scatter plot, and a trendline.

The trendline touches the y-axis (the vertical axis) at the point where y equals 22.

ANSWER:

The y-intercept of the trendline is 22.

The correct answer is option B

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.

Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Venn diagrams are useful for showing how two concepts are related and different visually.

When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.

Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.

So, we need to find:

A ∪ B

Now, calculate as follows:

The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:

8 + 7 + 14 + 6 + 1 + 8 = 44

n(A∪B) = 44

Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

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Assuming you mean isolate for x

Answer:

\(x=-1\)

Step-by-step explanation:

We can subtract \(4x\) from both sides to get \(3x-4x=4x-4x+1\).

That simplifies to \(-x=1\).

We can multiply by \(-1\) to get \(-x*-1=1*-1\).

That simplifies to \(x=-1\).

So, \(x=-1\) and we're done!

Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)

Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.

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