Need help on geometry
Answer choices

a. x=42°y = 42°
b. x = 90°, y = 84°
(c. X= 48°y = 42°

Answer:

The answer is A.

This is because adding 5 to both sides of the original equation gives us A.

An equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

"The equations that have the same answer or solution."

For given question,

We have been given an equation 3r = 90 - 5

We know that the addition property of equality which states that  when the same quantity is added to both sides of an equation, the equation does not change.

⇒ 3r = 90 - 5

Add 5 on the both the sides of the equations.

⇒ 3r + 5 = 90 - 5 + 5

⇒ 3r + 5 = 90 + 0

⇒ 3r + 5 = 90

Therefore, an equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

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Answer:

b 45

Step-by-step explanation:

its b ur welcome parallel

Answer:

Its 6x6

Step-by-step explanation:

because you have to count going up and over

Answer:

H

Step-by-step explanation:

As you can see the more shirt's that were bought the lower the price becomes per shirt.

Answer:

12x

Step-by-step explanation:

Answer: The answer Is y=12x

Step-by-step explanation:

slope= y2-y1/x2-x1

M = x/y = 2/24 = 12

Answer:

2.7

Step-by-step explanation:

Points P and Q are 3/8 unit away from 0, and because absolute values cannot be zero, the absolute values are the same. Tim is the correct one here, and the correct argument is the second answer option.

Absolute values are numbers that are either zero or positive. They can never be negative, since it is the very definition of absolute values. If a given number is negative, then you only need to change the sign to positive so that you get the absolute value of the number. For example, the absolute value of - 0.001 is 0.001.

Points P and Q are equally 3/8 unit away from 0, but P is negative and Q is positive. The distance of both are not 3/8 unit but twice as that. Even though - 3/8 and 3/8 are not the same because of the different signs, they have the same absolute value, which is 3/8. Therefore, Tim is the correct one.

This question refers to the image attached.

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Answer:

There are 36 outcomes. Of these, there are 2 that have both 1 and 3.

Answer:

4.5

Step-by-step explanation:

if we take -1 and put it in L.H.S it becomes 8+1=9 and then when u put x2 which is x×2 to L.H.S it becomes 9÷2 =4.5

Answer:

4.5

Step-by-step explanation:

First break it apart by taking the x2 and set it aside then add 8 + 1 which is 9.

Next take the 9 and divide it by 2 then you get 4.5.

To double check make sure to multiply 4.5 by 2 just to make sure it gets 9 as the answer.

There is not enough information provided to determine if there is sufficient evidence at the 0.02 level to refute the publisher's claim. The null hypothesis is that proportion of readers owning a Rolls Royce is equal to 0.78 and alternative hypothesis is that proportion of readers owning a Rolls Royce is not equal to 0.78.

To determine if there is sufficient evidence at the 0.02 level to refute the newsletter publisher's claim that 78% of their readers own a Rolls Royce, we need to conduct a hypothesis test. Here are the null and alternative hypotheses for this scenario:

Null Hypothesis (H0): The proportion of readers who own a Rolls Royce is equal to 0.78 (P = 0.78)

Alternative Hypothesis (H1): The proportion of readers who own a Rolls Royce is not equal to 0.78 (P ≠ 0.78)

To test these hypotheses, follow these steps:

1. Collect a random sample of readers and record the number of Rolls Royce owners in the sample.

2. Calculate the sample proportion (p-hat) of Rolls Royce owners.

3. Calculate the test statistic using the formula: z = (p-hat - P) / sqrt(P * (1-P) / n), where P is the claimed proportion (0.78) and n is the sample size.

4. Determine the critical value for a two-tailed test at the 0.02 significance level (α = 0.02), which is approximately ±2.576 (from a z-table or calculator).

5. Compare the test statistic (z) to the critical value. If the test statistic is greater than or equal to the critical value or less than or equal to the negative critical value, reject the null hypothesis in favor of the alternative hypothesis. If not, fail to reject the null hypothesis.

Based on the results, you can determine if there is sufficient evidence to refute the publisher's claim at the 0.02 significance level. However, just based on the given information, there is not enough information to determine if there is sufficient evidence at the 0.02 level to refute the publisher's claim. We need the sample size.

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Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(

8

,

−

2

)

Equation Form:

x

=

8

,

y

=

−

2

The amount of money accumulated by investing R8000 at a 7.2% annual interest rate compounded annually over 10 years is approximately R12,630.47.

To calculate the amount of money accumulated by investing R8000 at a 7.2% annual interest rate compounded annually over 10 years, we can use the formula for compound interest:

A = P * (1 + r/n)^(nt)

Where:

A is the amount of money accumulated

P is the principal amount (initial investment)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the number of years

In this case, the principal amount (P) is R8000, the annual interest rate (r) is 7.2% or 0.072 (as a decimal), the interest is compounded annually (n = 1), and the investment period is 10 years (t = 10).

Plugging in these values into the formula:

A = 8000 * (1 + 0.072/1)^(1*10)

A = 8000 * (1 + 0.072)^10

A ≈ R12,630.47

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Answer:

Step-by-step explanation:

Answer:

-3/8

Step-by-step explanation:

This equation is formatted as y=mx+b where m is the slope of the line, x is the x value, and b is the y-intercept. When finding the slope of such an equation, just find what the coefficient of x in the function is. So, this equation is y = -3/8x - 6/5 and m is -3/8, so your slope is -3/8. Hope that helps!

Answer:

-30

Step-by-step explanation:

Waterways Corporation's budget for Q1 2022 involves sales, inventory, materials, labor, overhead, expenses, and financing.

Waterways Corporation is preparing its budget for the first quarter of 2022. The company has gathered information from its managers to begin the budgeting process.

The company expects unit sales to be 112,000 in November 2021, 104,000 in December 2021, and 113,000 in January 2022. The company also expects to keep 10% of next month's unit sales in ending inventory. The company collects 85% of Accounts Receivable in the month of sale and 15% in the month after sale.

Raw materials cost 80 cents per pound, and two pounds of direct materials are required to produce each unit. The company likes to keep 5% of the materials needed for the next month in its ending inventory.

Labor requires 12 minutes per unit, paid at a rate of $9 per hour. The company has variable selling and administrative costs of $1.60 per unit, including advertising, insurance, salaries, and depreciation. The company also plans to make a $480,000 equipment purchase in February.

The company's cash balance on December 31, 2021, was $99,000, but the management wants to maintain a cash balance of at least $700,000 starting on January 31, 2022. The company pays dividends each month at the rate of $2.70 per share for 4,610 shares outstanding.

The company has an open line of credit with Romney's Bank with borrowing terms of $1,000 increments at 9% interest. The company borrows on the first day of the month and repays on the last day of the month.

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Answer:

x = -47

Step-by-step explanation:

Hi there!
We are given the equation x + 18 = -29 and we want to solve it for x

To solve these kinds of equations, we want to isolate x on one side of the equation (one side of the equation should ONLY have x on it).
In order to isolate x, we can add, multiply, subtract, or divide the equation by any numbers we choose

In this case, we'll need to get rid of 18 from the left side, so let's subtract 18 from both sides to remove it from the equation

So let's get on with subtracting 18 from both sides:
x + 18 = -29

Subtract 18 from BOTH sides

x+ 18 = -29
-18      -18
_______________

x=-29-18
Subtract 18 from -29

x = -47, which is our solution
Hope this helps!
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Answer:

To determine the number of sheets of cardboard in a stack, we need to use the information given in the problem.

We know that each sheet of cardboard is 1 inch thick, and 16 sheets are stacked on top of each other in packages. The height of each stack is 21 inches.

Using the model of a ruler, we can divide the height of the stack (21 inches) by the thickness of each sheet (1 inch) to find the number of sheets in the stack.

21 ÷ 1 = 21

So, there are 21 sheets of cardboard in a stack.

To write an expression that can be used to determine the number of sheets of cardboard in a stack, we can use:

Number of sheets = height of stack ÷ thickness of each sheet

Or, substituting the given values: Number of sheets = 21 ÷ 1 = 21

This expression is simply a representation of the model we used earlier. It shows that we can determine the number of sheets in a stack by dividing the height of the stack by the thickness of each sheet. In this case, the expression yields the same result as the model, which is 21 sheets.

The key difference between hypergeometric distribution and the binomial is which with the hypergeometric distribution,the probability of success changes from trial to trial.

The hypergeometric distribution is used when sampling without replacement whereas the binomial distribution is used when sampling with replacement.

We know in the hypergeometric distribution,

Each trial affects the probability of success for the remaining trials which is not the case in the binomial distribution where the trials are independent of each other.

The random variable in both distributions is discrete, not continuous.

There is no need for the probability of success to be less than 0.5 in either distribution.

Hence,

The key difference between the binomial and hypergeometric distribution is that with the hypergeometric distribution, the probability of success changes from trial to trial.

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The probability that he or she owns a credit card given that the student is a freshman is 0.63.

Number if freshman with credit card = 38

Total number of freshman = 60

Therefore, the probability that he or she owns a credit card given that the student is a freshman will be:

= 38/60

= 0.63

Therefore, the probability that he or she owns a credit card given that the student is a freshman is 0.63.

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Answer:

C. 904.32 cubic units

Step-by-step explanation:

the volume = π×r²×h

= 3.14 × 6²×8

= 3.14×288

= 904.32

The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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In a quadrilateral with a perimeter of 120 inches, the longest of the four sides has length equal to 33 inches.

A quadrilateral is a two-dimensional figure that has 4 sides and 4 vertices. The perimeter of any two-dimensional figure is the sum of all its sides.

If the lengths of the four sides of a quadrilateral (in inches) are consecutive odd integers, we can express each side as:

x = length of side 1(odd integer)

x + 2 = length of side 2

x + 4 = length of side 3

x + 6 = length of side 4

If the perimeter of the quadrilateral is 120 inches, then the sum of the four sides is equal to 120 inches.

x + (x + 2) + (x + 4) + (x + 6) = 120

Simplifying and solving for x.

4x + 12 = 120

4x = 108

x = 27

Substitute the value of x on the expression for the length of the 4th side(longest side).

longest side = x + 6 = 27 + 6

longest side = 33 inches

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Each athlete will run a distance of 0.775 kilometers.

To determine the distance each athlete will run in a relay race that is 3.10 kilometers long and requires four athletes to complete, we need to divide the total distance by the number of athletes.

The total distance of the relay race is 3.10 kilometers. Dividing this distance by the number of athletes (four) gives us:

3.10 km / 4 = 0.775 km

Therefore, each athlete will run a distance of 0.775 kilometers.

In other words, each athlete will run approximately 0.775 kilometers or 775 meters. Since the relay race is divided equally among the four athletes, each of them will cover the same distance to complete the relay.

This calculation ensures that each athlete has an equal share of the total race distance. By dividing the total distance of 3.10 kilometers by the number of athletes (four), we find that each athlete will run approximately 0.775 kilometers.

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Answer:

705 ft.

Step-by-step explanation:

330+225+150= 705 ft.

If you meant into the ocean floor, that is 2.3 feet deep on average. In miles, the drill ended at 0.13352273 miles.

Answer: Im pretty sure you do

Step-by-step explanation: your welcome