The graph shows the cost for renting a post hole digger from a local hardware store. Determine the rate of change or cost per day.
A) $60 per day
B) $30 per day
C) $90 per day
D) $15 per day

The total number of eggs a bird laid is 6 eggs.

To solve this problem we need to break it down step by step:

Assuming 1/3 of the eggs hatch means 2 eggs hatch, so if two eggs hatch, this represents 1/3 of the total eggs laid.

To find the total number of eggs the bird laid, we need to find the equivalent of 1 whole (the total). If 1/3 is equal to 2 eggs, then the whole (3/3 or 1) would be 6 eggs.

Final answer:

Aaliyah ate 1/8 more of the mini-pizza than James after converting their consumed amounts to a common denominator and subtracting James's share from Aaliyah's.

Explanation:

To calculate how much more Aaliyah ate compared to James, we need to compare the fractions of the mini-pizzas they each consumed. Aaliyah ate 7/8 of her mini-pizza, while James ate 3/4 of his mini-pizza. To make a comparison, we have to ensure both fractions have the same denominator.

Since the least common denominator for 4 and 8 is 8, we convert James's fraction from 3/4 to 6/8 by multiplying both the numerator and the denominator by 2. Now we can compare the amounts:

To find out how much more Aaliyah ate, we subtract James's portion from Aaliyah's:

7/8 - 6/8 = 1/8

Therefore, Aaliyah ate 1/8 more of the mini-pizza than James.

The value of tan D would be as follows:

Given that,

A right-angled triangle EFD,

As we know,

Tan = Opposite sides' length/adjacent sides' length

So,

it is  given that,

The length of the opposite side = 12

Adjacent Side's length = 5

∵ The value of Tan D [tex]= 12/5[/tex]

Thus, the above-mentioned answer is correct.

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To find out how many packs of seeds Trey needs, we need to first determine the area of his backyard which is 744 square feet. Each pack of seed cover 12 square feet. Therefore, dividing the total area by the area a pack of seed covers, we find that he needs 62 packs of seeds.

The subject of this question is Mathematics. Specifically, it involves the concept of area and multiplication, commonly taught in middle school. Trey's backyard is in the shape of a rectangle, and we know that the area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 31 feet and the width is 24 feet. Multiplying these numbers gives us a total area of 744 square feet.

Each pack of seed covers 12 square feet. So, to figure out how many packs Trey needs, we would divide the total area by the area each pack covers. Dividing 744 by 12 gives us 62, which means Trey will need to buy 62 packs of seeds.

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The required expression is  (-3/2)a²b¹¹ which is equivalent to the given expression. which is the correct answer would be option (C)

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question as:

-18a⁻² b⁵/-12a⁻⁴ b⁻⁶

To find the equivalent expression for -18a⁻² b⁵/-12a⁻⁴ b⁻⁶, we need to combine the constants and factors that have the same base and exponent.

You can begin by combining the constants in the fraction: -18/-12 = -3/2.

Next, you can simplify the terms involving the variables. Recall that when you divide two powers with the same base, you subtract the exponents. Therefore, you can simplify the expression as follows:

(-3/2)(a⁻² ÷ a⁻⁴ (b⁵ ÷ b⁻⁶)

= (-3/2)(a⁻⁴ a⁴) (b⁵ b⁶)

= (-3/2)(a²)(b¹¹)

= (-3/2)a²b¹¹

This is the simplified form of the given expression.

Hence, the correct answer would be option (C)

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Answer: Second Option is correct.

Step-by-step explanation:

Since we have given that

ΔSRT is a triangle with measures :

SR = 7 yd

∠T = 79°

∠R = 59°

We need to find the side ST say x.

We will use " Law of Sines " :

[tex]\frac{\sin T}{SR}=\frac{\sin R}{ST}\\\\\frac{\sin 79^\circ}{7}=\frac{\sin 59^\circ}{x}\\\\0.14=\frac{\sin 59^\circ}{x}\\\\x=\frac{\sin 59^\circ}{0.14}\\\\x=6.12\ yd[/tex]

Hence, the length of ST = 6.1 yd.

Therefore, Second Option is correct.

Answer:

1: B) $578

2: B) $25.33

3: D) $61,980

Step-by-step explanation:

1) Henry's premium = ($100,000 / $1,000) x $5.78 = $578

2) Karen's total premium = ($75,000 / $1,000) x $17.56 = $1,317

if she is paid weekly, then the premium must be divided by 52 weeks = $1,317 / 52 weeks = $25.33 deducted per week

3) Nikos's premium per year = ($300,000 / $1,000) x $10.33 = $3,099

times 20 years = $3,099 x 20 = $61,980

Answer:

The probability that both customer representatives are on the phone at the same time is 72.25%.

Step-by-step explanation:

Consider the provided information.

There is an 85% probability that a customer service representative will be on the phone with a customer at any given time.

There are 2 customer service representatives.

To find the probability that both customer representatives are on the phone at the same time, we multiply the independent probabilities together.

0.85×0.85=0.7225

Hence, the probability that both customer representatives are on the phone at the same time is 72.25%.

To find the original price of the book, we can set up an equation: 0.75x = $90.75. Solving for x, we find that the original price is $121.

To find the original price of the book, we can set up an equation. Let's denote the original price as x. The sale price is 75% of the original price, which can be expressed as 0.75x. We are given that the sale price is $90.75, so we can set up the equation:

0.75x = $90.75

To solve for x, we divide both sides of the equation by 0.75:

x = $90.75 / 0.75

Using a calculator, we can calculate that the original price of the book is $121.

1. Cost of oatmeal:

Cost of oatmeal=1.73/lb× 2.6 pounds

Cost of oatmeal= $4.498

Cost of oatmeal= $4.50 (Approximately)

2. Percentage:

Percentage=494/520×100

Percentage=95%

Inconclusion the amount that  2.6 lb of oatmeal cost is $4.50 and the   percent of $520 that is $494 is 95%.

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