Kaitlin must choose a shirt and a pair of pants for today's outfit. She has 2 shirts and 3 pairs of pants to choose from. How many different outfits can she make?

No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.

In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.

A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.

If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.

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The answer is x=-4

I’ve attached my work explaining why below :)

x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)

Two or more expressions with an Equal sign is called as Equation.

The given equation is -2(3x + 6) = 4(x + 7

We need to find the inequality which represents the solutions of the equation.

Let us solve for x

-2(3x + 6) = 4(x + 7)

Apply distributive property

-6x-12=4x+28

Take the variable terms on one side.

-6x-4x=28+12

-10x=40

Divide both sides by 10

x=-4

Hence, x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)

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Answer:

The answer is C

Step-by-step explanation:

Use a dashed line because the inequality is <, not ≤. Then test an x-y point on one side of the line. If the result makes sense, shade that side of the line. If not, shade the other.

for future information

The probability of passing at least one will be 0.70.

We know that,

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

here, we have,

Probability of passing history course = 0.59

Probability of passing math course = 0.60

Probability of passing both courses = 0.49

so, we get,

Probability of passing at least one will be

⇒ 0.59 + 0.60 – 0.49

⇒ 0.70

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complete question:

A student is taking two courses, history and math. the probability the student will pass the history course is 0.59, and the probability of passing the math course is 0.60. the probability of passing both is 0.49. what is the probability of passing at least one?

The value of f(1) by using the attached graph is f(1) = -2.

A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.

Given:

The graph shown in the question is representing the function value,

To find f(1) = ?

The value of f(1) will be equal to the value of x as the graph is linear so,

f(1) = value of y at x = 1

value of y at x = 1 = -2  (From the graph)

Thus, f(1) = -2.

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answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.

The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.

An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.

However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.

In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.

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Answer:

1 6/7

Step-by-step explanation:

Answer:

  c.  quadrilateral

Step-by-step explanation:

All of the sides are different lengths, so the quadrilateral cannot be a parallelogram, rhombus, or square.

Its best descriptor is parallelogram.

_____

A parallelogram has opposite sides parallel and congruent. A rhombus also has adjacent sides congruent. A square is a special case of rhombus in which the corner angles are right angles.

The additive inverse of the polynomial is A' = - ( 1.3t³ - 0.2t² - 6t - 8 )

Given data ,

Let the polynomial be represented as A

Now , the value of A is

A = ( 1.3t³ + 0.4t² - 24t ) - ( 0.6t² + 8 - 18t )

On simplifying the equation , we get

A = 1.3t³ + 0.4t² - 24t - 0.6t² - 8 + 18t

A = 1.3t³ - 0.2t² - 6t - 8

Now , the additive inverse of the polynomial is

A' = - ( 1.3t³ - 0.2t² - 6t - 8 )

Hence , the polynomial is solved

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"Nathan rolls a number cube and records the result of each roll in the table" is a true statement. Probability can be used to make predictions or decisions in a variety of situations, such as in gambling, finance, and science. In these situations, probabilities can be calculated based on statistical data or by using mathematical models.

"He spun a 4 five times." is not a valid statement, as it is not clear what "he" or "a 4" refers to.

A valid probability distribution is a set of possible outcomes of a random event, along with the corresponding probabilities of those outcomes occurring. For example, if we roll a number cube, the possible outcomes are 1, 2, 3, 4, 5, and 6, and the probability of each outcome occurring is 1/6.

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The paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.

The paycheck can be computed by working out the base salary, overtime pay if any, and the sales commission separately and adding up these.

Some deductions (withholding taxes and insurance) are made to the gross pay to arrive at the paycheck, which is known as the net pay.

Base salary = $10.00 per hour

Overtime pay = 1.5 of the base salary per hour

Work week = 40 hours

Commission on total sales = 3%

Sales for a month = $3,000

Commission on $3,000 sales = $900 ($3,000 x 3%)

Base salary for two weeks = $800 ($10 x 40 x 2)

Paycheck = $890 ($800 + $900)

Thus, the paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.

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Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

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Answer:

6.8

Step-by-step explanation:

27 / 4 = 6.75, which rounded to the nearest tenth, is 6.8.

Answer: 165 miles

Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.

Answer:

The answer is 165miles

Step-by-step explanation:

\(distance = speed \times time\)

d=55×3

d=165 miles

By making x the subject of the formula in this equation u = cos(0.5x)​ gives x = 2cos⁻¹(u).

In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.

In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.

By taking the arc cosine of both sides of the equation, we have the following:

u = cos(0.5x)

cos⁻¹(u) = 0.5x

By multiplying both sides of the mathematical equation by 2, we have the following:

2 × cos⁻¹(u) = 0.5x × 2

x = 2cos⁻¹(u)

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Answer:

like terms =2x,-6x

.....

like terms =5y²,18y²

remaining are unlike terms.

Answer:

like term=2x-6x

like term=5y square-18y square

Answer:

2/5

Step-by-step explanation:

2 divided by 5 is 0.4 which is greater than .35

Answer:

0.35  <  2 /5

Step-by-step explanation:

Simplifying then comparing both terms  0.35  and  2/ 5 .

0.35  is less than  0.4  which means that the first term is less than the second term.

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Answer:

a) \( z= \frac{34-34}{2.5}= 0\)

\( z= \frac{39-34}{2.5}= 2\)

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

b) \( P(X<31.5) \)

\( z= \frac{31.5-34}{2.5}= -1\)

So one deviation below the mean we have: (100-68)/2 = 16%

c) \( z= \frac{29-34}{2.5}= -2\)

\( z= \frac{36.5-34}{2.5}= 1\)

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

Step-by-step explanation:

For this case we have a random variable with the following parameters:

\( X \sim N(\mu = 34, \sigma=2.5)\)

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

\( P(34 < X<39)\)

We can find the number of deviation from the mean with the z score formula:

\( z= \frac{X -\mu}{\sigma}\)

And replacing we got

\( z= \frac{34-34}{2.5}= 0\)

\( z= \frac{39-34}{2.5}= 2\)

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

For the second case:

\( P(X<31.5) \)

\( z= \frac{31.5-34}{2.5}= -1\)

So one deviation below the mean we have: (100-68)/2 = 16%

For the third case:

\( P(29 < X<36.5)\)

And replacing we got:

\( z= \frac{29-34}{2.5}= -2\)

\( z= \frac{36.5-34}{2.5}= 1\)

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

Answer:

C. 7°F

Step-by-step explanation:

Answer:

191

Step-by-step explanation:

1) Simplify 15-6 to 9

63  + 9 x 14 + 2

2) Simplify 9 x 14 to 126

63 + 126 + 2

3) Simplify 63 + 126 to 189

189 + 2

4) Simplify

191

There are 32 cm² of frosting will take to cover the outside.

Given that;

Base of house = 2 cm

And, Height of house = 3 cm

Since, The shape of house is like a prism.

We know that;

Area of Prism is,

SA = 2B + ph,

where B, stands for the area of the base, p represents the perimeter of the base, and h stands for the height of the prism.

Hence, We get;

SA = 2 × (2 × 2) + 2 (2 + 2) × 3

SA = 8 + 24

SA = 32 cm²

Hence, There are 32 cm² of frosting will take to cover the outside.

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If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:

b = total_number_of_pears / pears_per_bag

In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.

Given that Natalie has a total of 48 pears, we can substitute the value into the equation:

b = 48 / pears_per_bag

Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.

Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:

b = 48 / 4

Simplifying the equation gives:

b = 12

So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

4,969.25

Step-by-step explanation:

$19877 ÷ 4

you van either divide this the long way or the short way either one will give you the same answer so just try it out and see

Answer:

I think the answer is 144

The value of w to the nearest whole number is 16°

If a polygon has equal sides and angles, it is said to be regular. As a result, an equilateral triangle is a regular triangle, and a square is a regular quadrilateral.

Given:

Decagon has 10 sides.

As, sum of interior angles of a polygon = ( n - 2) x 180

where n = number of sides of polygon

Here n = 10

sum of interior angle = ( 10 - 2) x 180 which is 1440°

If a regular polygon has equal angles and each angle is (8w + 17)

10( 8w + 17) = 1440

8w + 17 = 144

8w = 144 - 17

8w = 127

w = 127/8

w = 15.875

Thus, the value of w = 16°

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Answer: 1134.11

A=3.14*r^2

Step-by-step explanation:

Answer:

a ≈ 1134.11 cm2

Step-by-step explanation:

The formula:

\(a=\pi r^{2}\)

\(a=\pi (19)^{2} =361\pi\)

\(a=1134.11cm^{2}\)

Hope this helps

Answer:

Volume of the given oblique cylinder = 36π units³

Step-by-step explanation:

Volume of the oblique cylinder = πr²h

Here, 'r' = Radius of the circular base

'h' = Height of the cylinder

For the given oblique cylinder,

Radius of the circular base = 3 units

Height of the cylinder = 4 units

Volume of the cylinder = π(3)²(4)

                                      = 36π units³

Therefore, volume of the given oblique cylinder = 36π units³

Answer: A

Step-by-step explanation:

X+y=1550

Y=4x

The system of equations used are:

x + y = 1550

y = 4x

Option A is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 5 is an equation.

We have,

Number of yards by x = x

Number of yards by y = 4x

Total yards = 1550

Now,

Two equations are:

x + y = 1550

y = 4x

Thus,

The system of equations are:

x + y = 1550

y = 4x

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