Given the 2 statements: "If you study for your test, then you will pass
your test," and "If you passed your test, then you studied for your
test." the biconditional is:

A figure that shows line z intersecting plane R at point M could be like:

The plane is black, the line is red and the point is blue.

Step-by-step explanation:

The total number of cars=24

Number of black cars=12

Divide 12 by 24,multiplied by 100%

12÷24 ×100=50%

Therefore, 50% of the cars are black

We know that the probability of getting a head in a single coin is:

Now, we can calculate the probability of X out of N coins landing heads up with the binomal distribution:

With p = 0.5 and N = 4, we get:

Subtituting X = 1 ("getting one head"), we get that:

Using equations the weight of both Sean and Brad is 156 lbs and 73 lbs.

So, the weight of Sean and Brad.

So, the equation will become:

x + 2x + 10 = 230

Now, solve this equation for 'x' as follows:

Rounding off: 73 lbs

Then,

Therefore, using equations the weight of both Sean and Brad is 156 lbs and 73 lbs.

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Eli could buy is at least 24 sets of knives

From the question, we have the following parameters:

Let the number of sets be x

So, we have the following representations

Number of knives needed = Number of knives needed + Number of knives per set x Number of set

So, we have

312 + 10x ≥ 546

Evaluate the like terms

10x ≥ 234

Divide by 10

x ≥ 23.4

Rewrite as

x ≥ 24

Hence, the number of sets of knives Eli could buy is at least 24

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Answer:

Inequality: 312+10x≥546

x≥24

Step-by-step explanation:

its the same as the bottom

The solution to the compound inequality is x > 6 or x < -3

An inequality is a mathematical expression that has <, >, ≤ and ≥.

A compound inequality is an inequality that combines two simple inequalities.

Therefore, let's solve the compound inequality as follows:

2x - 4 > 8 or 3x - 1 < - 10

2x - 4 > 8

add 4 to both sides of the inequality

2x - 4 + 4 > 8 + 4

2x > 12

divide both sides by 2

x > 12 / 2

x > 6

3x - 1 < - 10

add 1 to both sides of the inequality

3x - 1 + 1 < - 10 + 1

3x < - 9

divide both sides by 3

x < -9 / 3

x < -3

Therefore, x > 6 or x < -3

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The solution to the compound inequality will be; x > 6 or x < -3

Inequality is defined as the relation which makes a non-equal comparison between two functions in an problem.

A compound inequality is defined as an inequality that combines two simple inequalities.

Therefore, solve the compound inequality that will be;

2x - 4 > 8 or 3x - 1 < - 10

2x - 4 > 8

Then add 4 to both sides of the inequality so,

2x - 4 + 4 > 8 + 4

2x > 12

Now, divide both sides by 2

x > 12 / 2

x > 6

3x - 1 < - 10

Again, add 1 to both sides;

3x - 1 + 1 < - 10 + 1

3x < - 9

Then divide both sides by 3;

x < -9 / 3

x < -3

Therefore, solution to the compound inequality is; x > 6 or x < -3

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if we replace y for -3 in the given equation and then we despejate x, we wiil going to have a values for the ordered pair that satisfy the equation:

then

the ordered pair woul be (4,-3)

If arthur walks 3 km north, and then turns east and walks 4 km. The  distance traveled  is 7km and his displacement is 5km.

Distance traveled:

Distance traveled = Km north + East Km

Distance traveled  = 3 km + 4 km

Distance traveled  = 7 km

Displacement

Using  Pythagoras theorem to determine  or find the displacement

B² = A ²+AB²

B² = 3 ² +4 ²

B = 9+16

B = √ 25

B = 5 km

Therefore the 7km is the distance and 5km is the displacement.

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Answer:

Explanation:

To evaluate the difference:

First, rewrite the expression in the form below:

Next, factor out the powers of 10.

Thus, the difference written in scientific notation is:

Note: A number is in scientific notation if it is expressed as a product of a number (between 1 and 10) and a power of 10.

The new point is (-2, -9).

What happens when a point is reflected about an axis?
The x-coordinate remains constant when a point is reflected across the x-axis, but the y-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the x-axis as (x, -y).
The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).

Given, the point to be reflected is : A : (2, -9)
Also, the axis through which the point is to be reflected is y-axis.
Following the statement established in the literature, we have:
The point (2, -9) when reflected over the y-axis,  the x-coordinate is assumed to be the additive inverse, thus the new co-ordinate is (-2, -9).
The new point is (-2, -9).

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Answer:

A. SSS

Step-by-step explanation:

Triangle ADT and triangle TDE are congruent triangles by SSS postulate.

Sides DE and DA, sides TE and TA are congruent (DT is common side).

So the answer is A. SSS

SOLUTION

Carrie's credit card was stolen, she was charged $ 2,000

Hence carrier's is responsible for paying $2,000

Answer:

24

Step-by-step explanation:

Hakeem is the oldest of three siblings who ages are consecutive integers. If the sum of their ages are 69, find Hakeem age.

It should be noted that:

= 22 + 23 + 24

= 69

Hakeem's age is 24

Based on the information provided about Arthur, we have the following:

In Mathematics, a graph can be defined as a type of chart that is commonly used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate).

Distance simply refers to the amount of ground that is covered or travelled by a physical object (body) over a particular period of time and speed, irrespective of the physical object's direction, starting point, or ending point.

In conclusion, the distance covered by a physical object (body) over a particular period of time can be plotted by using a position-time graph as shown in the image attached below.

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1. 2 ² x 5b³ =   20b³

2. (3a²) ² x 2 (b ²) ³ = 3[tex]a^{4}[/tex] x 2[tex]b^{6}[/tex] 5d

3. 15d ³ divided by 3d ² = 5d

What is Operations?

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's acuity is determined by the number of operands.

The given problems are:

1. 2 ² x 5b³

2. (3a²) ² x 2 (b ²) ³

3. 15d ³ divided by 3d ²

1. 2 ² x 5b³

  = 4 x 5b³

  = 20b³

2. (3a²) ² x 2 (b ²) ³

  By the exponent rule:
         [tex](x^{n} )^m[/tex] = [tex]x^{n * m}[/tex]

                   = [tex]x^{nm}[/tex]

∴ 3[tex]a^{2*2}[/tex] x 2[tex]b^{2*3}[/tex]

= 3[tex]a^{4}[/tex] x 2[tex]b^{6}[/tex]

3. 15d ³ divided by 3d ²

    15d ³ ÷ 3d ²

By the exponent rule:

         [tex]a^{m}[/tex]÷[tex]a^{n}[/tex] = [tex]a^{m-n}[/tex]

∴  5[tex]d^{3-2}[/tex] = 5[tex]d^{1}[/tex]

              = 5d

Hence, The solutions are 20b³, 3[tex]a^{4}[/tex] x 2[tex]b^{6}[/tex] and 5d

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Jaleel and Angela purchased a bag of sugar and used it evenly so the amount of flour that they each need, based on their brownie recipes are:

Jaleel and Angela purchased a 20-cup bag of sugar and divided it evenly which means that they each get 10 cups of sugar.

The number of cups of sugar needed per cup of flour is:

= Change in sugar / Change in flour

= (3 - 1.5) / (2 - 1)

= 1.5 cups of sugar

The amount of flour needed would be:

= Number of cups of sugar / Cups of sugar per cup of flour

= 10 / 1.5

= 6 ²/₃ cups of flour

Angela's recipe shows that the cups of sugar needed per cup of flour is:

= (2 - 0) / (1 - 0)

= 2 cups of sugar

This means that with 10 cups of sugar, the amount of flour needed is:

= 10 x 1/2

= 5 cups of flour

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We cannot conclude that working in a digital workplace caused employees to be happier from the survey.

How is the conclusion from the survey explained?

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Given the expression:

using the distributive property we get the following:

therefore, the simplified expression is 0

The general slope intercept form is : y = m * x + b

Where m is the slope and b is y - intercept

Given the equation of the line : x + 3y = 8

Write the equation in slope intercept form to find the slope of the line

so, solve for y :

So, the slope of the given line = -1/3

The parallel lines have the same slope

so, the slope of the required line = -1/3

And the equation will be :

Find the value of b using the given point ( 5 , -6 )

When x = 5 , y = -6

So, the equation of the line will be :

it can be written as : 3y = -x - 13

Answer:

2 pizzas

Step-by-step explanation:

5 7/8 - 4 1/16=

5 14/16 - 4 1/16 ==> make the denominators equal to each other so they can be easily subtracted in the next step

5 + 14/16 - (4 + 1/16)=

5 + 14/16 - 4 - 1/16 =

5 - 4 + 14/16 - 1/16 =

1 + 13/16 = 1 13/16 which is approximately 2 pizzas

The answer in interval notation is given by {96, ∞}.

An interval notation can be defined as a set of real numbers which comprises all of the real numbers that are representing a continuous function and lies between two set of numbers.

This ultimately implies that, an interval notation can be used as a technique for writing all of the subsets of the real number line.

Translating the given word problem into an inequality algebraic expression:

16 - s ≤ -80

Adding 80 to both sides of the expression, we have:

80 + 16 - s ≤ -80 + 80

96 - s ≤ 0

Rearranging the expression, we have:

s ≥ 96

Therefore, we have {96, ∞}.

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Complete Question:

Translate and solve: 16 more than s is at most -80.

Give your answer in interval notation.

Answer:18

Step-by-step explanation:

Given :

R is the midpoint of QS

QR = 6x - 9

RS = 2x - 1

We need to find QS

So, as R is the midpoint

Solve the equation to find x :

Substitute with x to find QR and QS

Given:

One variety of gift wrappers sells for 50 cents a sheet the other for 25 cents a sheet.

In dollars,

One variety of gift wrappers sells for 0.5 dollars a sheet the other for 0.25 dollars a sheet.

The assortment will cost $7.

Let x be the number of 50 cents sheets.

Let y be the number of 25 cents sheets.

It is also given that,

The number of 50 cents sheets is 3 times the number of 25 cent sheets.

x=3y ........ (1)

0.5x+0.25y=7 ....... (2)

Substitute (1) in (2) we get,

Hence, x=3(4)

x=12

So, the number 50 cents sheets are 12 and the number of 25 cents sheet is 4.

The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional.

Occurrence to determine the conditional probability. P(A and B) = P(A) * P if A and B are two Independent events (B).

How can you calculate the likelihood of two occurrences, A and B, coming together?

The probability of their union, or the event that either A or B occurs, is equal to the total of their probabilities less the sum of their intersection if two occurrences A and B are not disjoint. P(A) + P(B) - P(A and B) (A and B).

The answer is then (0.28 + P(B) - (0.51 = 0.23).

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The probability that you will make at least $1300 is 2/39 or 0.0513.

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

Using combinations, if there are 27 tasks available, then there are 351 combinations of two tasks assigned.

27C2 = 351

Also, count how many ways you could make at least $1300.

# ways = 2 of $1000 each or 1 of $1000 and 1 of $500

# ways = (3C2) + (3 x 5)

# ways = 3 + 15

# ways = 18

Solve for the probability by dividing the number of the desired outcomes by the number of total possible outcomes.

probability = desired outcome / total outcomes

probability = 18 / 351

probability = 2/39 or 0.0513

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The elk population in 2014 will be 19,700 ,A population is an identified grouping of objects with the purpose of analysis and data collection.

A population is an identified grouping of objects with the purpose of analysis and data collection. Examples include people and animals. It comprises of a related collection of species that live in a specific area and have the ability to interbreed.

The population increased by 12,700-12,000 = 700 between the two measures, however, it did so over a period of 1 year, from 2004 to 2003. Divide 700 elk by 1

The elk population in 2014 will be 19,700We must first establish the method

2014=700 should add 10 times then we will get the 2014th year population.

so the population of 2014th will 19700

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Answer:

v > 26

Step-by-step explanation:

v > 22 + 4

v > 26

there is no qouificient ( I don't know how to spell that) of v so that's your answer