If the sales tax rate is 7%, how much tax would Luis pay for a $325 bicycle?∨

The maximum period of time they could reserve the meeting space is 9 hours.

Mathematical expressions with the symbols > and are known as inequality. Finding a range, or ranges within ranges, of values that an unknown x can have while still satisfying the inequality is referred to as "solving" an inequality. In this lesson, inequalities are resolved using graphs and algebra.

An algebraic inequality expression is a mathematical statement that uses the it as a sign to connect an expression to a value, a variable, or another expression. One type of variable inequalities can have solutions that can be graphed either in a coordinate plane or on a number line.

Inequality expression is 31 + 5.9*t < 84.10.

To understand it, collect all constant on the right side:

5.9*t < 84.10 - 31 = 53.10,

Hence, t < 53.10 % 5.9 = 9 hours.

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Correct Question:

To rent a certain meeting room, a college charges a reservation fee of $31 and an additional fee of $5.90 per hour. The chemistry club wants to spend less than $84.10 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.

a. The product of numbers by using distributive property is -605/7.

b. The product of numbers by multiplying fractions is -605/7.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

To find the product of number -11 (7 6/7).

Now, The product of numbers by using distributive property is calculated as;

⇒ -11 (7 6/7) = -11 * (7 + 6/7)

                  = -11 * 7 - 11 * 6/7

                  = -77 - 66/7

                  = (-539 - 66)/7

                  = -605/7

Hence, The product of numbers by using distributive property is -605/7.

And, The product of numbers by multiplying fractions is;

⇒ -11 (7 6/7) = -11 * 55/7

                  = -605 /7

Hence,  The product of numbers by multiplying fractions is -605/7.

So, a. The product of numbers by using distributive property is -605/7.

b. The product of numbers by multiplying fractions is -605/7.

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Answer:

14 loafs

Step-by-step explanation:

9 customers = 2 loafs

18 customers = 4 loafs

63 customers= 14 loafs

So 63/9 = 7

Total groups of 9 for 63 customers are 7. Each group needs 2 loves.

Thus the number of loaves needed to prepare by the chef for 63 customers is 14.

Answer: 14 loaves of bread.

Step-by-step explanation:

For every 9 customers, 2 loaves of bread are made.

63 divided by 9 is 7.

Then, multiply your quotient (7) by 2, because that's the number of bread to be made.

So, that's your answer. 14 loaves of bread.

Answer:

D.10.5

Step-by-step explanation:

8=10/4+8

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

The property that allows you to write the equation −4y=−8 as the first step to solving the system of equations is (a) Substitution Property of Equality

The equations are given as:

\(x - 3y = 1\)

\(x + y = 9\)

Make x, the subject in the second equation

\(x = 9 - y\)

Substitute 9 - y for x in the first equation

\(9 - y - 3y = 1\)

Collect the like terms

\(-y -3y =1 - 9\)

Evaluate the like terms

\(-4y =- 8\)

Hence, the property is (a) Substitution Property of Equality

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Answer:

All except 2,5,3

Step-by-step explanation:

To make a triangle, two of the side lengths added together should always be larger than the third side length. Otherwise, the triangle could not be formed since the sides could not reach each other. This means that the sides 2,5,3 cannot work. Hope this helps!

Answer:

A. 2x - 1

Step-by-step explanation:

We want the price of each notebook, so we will get this equation.

(4x^2 + 2x + 1) / (8x^3 - 1)   [ The " / " sign means I wrote as a fraction. ]

After that, we will use this method to factor ( 8x^3 - 1 ).

a^3 - b^3 = ( a - b )( a^2 + ab + b^2 )

1 can be wrote as 1^3 as we still get the same answer.

8^3 - 1^3 = ( 2x - 1 )( 4x^2 + 2x + 1)

So, we will get this.

(4x^2 + 2x + 1) / ( 2x - 1 )( 4x^2 + 2x + 1)

Now, we can cross out the ( 4x^2 + 2x + 1 ).

We will be left with 1 / ( 2x - 1 ).

Flip it and we will get ( 2x - 1 )

And that is the answer.

I hope it helps.

Answer:

(2,4)

Step-by-step explanation:

hope this helps :)

Answer:

(1,0) + 4 up and + 1 right

The answer is (2,4)

Answer:   4  x  2

Reason:

There are 4 rows and 2 columns.

Answer:

D)

Step-by-step explanation:

x² + 3x + (3/2)² = 6 - 8 + (3/2)²

(x + 3/2)² = -2 + 9/4

(x + 3/2)² = -8/4 + 9/4

(x + 3/2)² = 1/4

Answer:

D is the answer

Step-by-step explanation:

x² + 3x + (3/2)² = 6 - 8 + (3/2)²

(x + 3/2)² = -2 + 9/4

(x + 3/2)² = -8/4 + 9/4

(x + 3/2)² = 1/4

Hope this helps you ;)

Have a great day

Mark brainliest

Answer:

27

Step-by-step explanation:

Let x represent the number of beef sticks given to Jerrit by Leonard.

Let's calculate!

42 = 15 + x

42 - 15 = x

27 = x

x = 27

Hope that helped :)

4 3/4 as an improper fraction is 19/4

To turn a mixed number into an improper fraction, multiply the whole number (4) with the denominator (4) of the proper fraction. Add the numerator (3) of the proper fraction to this product to obtain the numerator of the improper fraction.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

We have parallel lines intersected by a transversal.

Corresponding angles are congruent:

5q + 3 = 3q + 11

2q = 8, so q = 4

Alternate interior angles are congruent:

3r - 4 = 6r - 19

3r = 15, so r = 5

Consecutive interior angles are supplementary:

4s + s + 90 = 180

5s = 90, so s = 18

Supplementary angles:

2t + 20 = 4t + 10

2t = 10, so t = 5

I hope this helps!

-AxekickNebulite

Answer: 43.47517

Step-by-step explanation:

Considering orders of magnitude, we see that Option 2 is the only reasonable answer.

Based on the Year 2 balance sheet, the largest cash dividend that Dakota could pay is $16,500.

Cash dividends refers to the payments that companies make to their shareholders which is usually on the strength of earnings. They often represent opportunity for companies to share the benefit of business profits.

Based on the balance sheet, the largest cash dividend that Dakota could pay in Year 2 is:

= $ 31,500 + $ 5,000 - $ 20,000

= $ 16,500.

Missing questions:Dakota Company experienced the following events during Year 2:

Acquired $20,000 cash from the issue of common stock.

Paid $20,000 cash to purchase land.

Borrowed $2,500 cash.

Provided services for $40,000 cash.

Paid $1,000 cash for utilities expense.

Paid $20,000 cash for other operating expenses.

Paid a $5,000 cash dividend to the stockholders.

Determined that the market value of the land purchased in Event 2 is now $25,000.

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The volume of the solid figure would be = 18 units²

A cube is defined as the solid object that is made up of six equal square faces.

The volume of each cube that makes up the solid figure= 1 unit ³.

The number of cubes that makes up the solid figure = 18

Therefore the area of the solid figure would be = 1 × 18 = 18units³.

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A prism has two congruent bases and rectangular lateral faces. The lateral area of a prism is the sum of the areas of all its lateral faces.

Let L be the length of the rectangular lateral faces, W be the width of the rectangular lateral faces, and H be the height of the prism.

We know that the lateral area of the prism is 240 square inches. This means that:

L x H + W x H + L x H + W x H = 240

Simplifying this equation, we get:

2LH + 2WH = 240

Dividing both sides by 2, we get:

LH + WH = 120

Since the prism has two congruent bases, the total surface area of the prism is the sum of the lateral area and the area of both bases. The area of each base is just the length times the width, or LW. Therefore, the total surface area is:

2(LW) + LH + WH

Substituting LH + WH = 120, we get:

2(LW) + 120

Simplifying further, we get:

2LW + 120

We do not have enough information to determine the length or width of the rectangular bases, so we cannot determine the value of 2LW. Therefore, the final answer is:

Total surface area = 2LW + 120

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Answer:

C

Step-by-step explanation:

Answer:

See picture for steps.

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to solve this, we need to know the definitions of the vocabulary terms and how to identify them in a polynomial expression. Here are the definitions:

To match the vocabulary terms with their “parts” of the given expression, you need to drag and drop the correct numbers from the options. Here are the matches:

From the graphs we notice that at first both cars show an increase of mpg but at 20 miles per gallon the red line decreases. This means that:

The driver would first notice a decrease in gasoline mileage at 20 mph.

The full size car showed the decrease.

The number of possible ways you can distribute the balls among the three boxes so that each box contains at least one ball = 21

Here we have 3 empty boxes.

Let us assume that a, b and c be these empty boxes.

and the total number of balls = 8

We need to distribute the balls among the three boxes so that each box contains at least one ball.

This means that a + b + c = 8

By allotting 1 ball to each box so that no box remains empty.

We get an equation a + b + c = 5

So, the possible number of ways to by allotting 1 ball to each box so that no box remains empty would be:

⁷C₂

Using combination formula:

⁷C₂

= 7! / 2!(7 - 2)!

= 21

Therefore,  the required number of ways = 21

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Answer:

6.5%

Step-by-step explanation:

Hope that helped! =)

Since the bottom number is in the thousands that is why the percent is smaller. and since 65/100 will represent that in the hundredths the bigger the bottom number, just know the top number of it no matter if it is a 75 or 86 it will always be smaller.

Answer: 40%

Step-by-step explanation:

100(175-125/125)

Simplify: 100(50/125)

Simplify: 100(0.4)=40

Answer:

C. 49, x-7

Step-by-step explanation:

(A+B)^2 = A^2 + 2AB + B^2

-14x = 2*A*B

where A=x

Therefore B=-7

and (x-7)^2=x^2-14x+49

To calculate the probability of X given Z (P(X|Z=z)), you can use Bayes' theorem. Bayes' theorem states:

P(X|Z=z) = (P(Z=z|X) * P(X)) / P(Z=z)

Here's how you can calculate P(X|Z=z) step by step:

1. Calculate P(Z=z): This is the probability of the sum of the results being z. To calculate this, you would need to consider all possible combinations of X and Y that result in Z=z and sum up their probabilities. Since X and Y are outcomes of a fair dice toss, each has a probability of 1/6. For example, if z=7, the possible combinations are (X=1, Y=6), (X=2, Y=5), (X=3, Y=4), (X=4, Y=3), (X=5, Y=2), and (X=6, Y=1). Summing up their probabilities, P(Z=7) = (1/6) * (1/6) + (1/6) * (1/6) + (1/6) * (1/6) + (1/6) * (1/6) + (1/6) * (1/6) + (1/6) * (1/6) = 1/6.

2. Calculate P(Z=z|X): This is the probability of Z being z given that X takes a particular value. Since the outcomes of Y are independent of X, P(Z=z|X) would be the same as the probability of Y being z-X. For example, if x=3, then P(Z=7|X=3) would be the same as the probability of Y being 7-3=4. Since Y is also a fair dice toss, the probability would be 1/6.

3. Calculate P(X): This is the probability of X taking a particular value. Since X is the outcome of a fair dice toss, each value has a probability of 1/6.

Plug in the calculated values into Bayes' theorem:

P(X|Z=z) = (P(Z=z|X) * P(X)) / P(Z=z)

P(X|Z=z) = (1/6 * 1/6) / (1/6)

Simplifying, P(X|Z=z) = 1/6

Therefore, for any value of z, the probability of X taking any specific value is 1/6.

To calculate the probability of Z given X (P(Z|X=x)), you can use the fact that X and Y are independent tosses. In this case, since X=x is known, the probability of Z being z is simply the probability of Y being z-x. Since Y is also a fair dice toss, each value has a probability of 1/6. Therefore, P(Z|X=x) = 1/6 for any value of z.

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