Which ordered pairs are solutions to the inequality y−3x<10? Select each correct answer.

Using a system of linear equation, the cost of each shirt and pant is $9 and $11 respectively.

A system of linear equations is a collection of one or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system.

A linear equation is an equation that can be written in the form of ax+by=c, where x and y are variables, and a, b, and c are coefficients.

In this problem, we need to define our variables and the solve the equations.

Let;

x + 2y = 31 ...eq(i)

3x + y = 38 ...eq(ii)

Solving both equations

x = 9, y = 11

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Answer:

6/10

Step-by-step explanation:

The fraction 6 / 10 shows the ratio of 3 dogs to 5 dogs is the same. Then the correct option is A.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The ratio of 3 dogs to 5 dogs will be given as,

Ratio = 3 / 5 = 0.60

Let's check all the options, then we have

A)  6 / 10, then the ratio is given as,

Ratio = 6 / 10 = 0.60

B)  27 / 40, then the ratio is given as,

Ratio = 27 / 40 = 0.675

C)  9 / 10, then the ratio is given as,

Ratio = 9 / 10 = 0.90

D)  12 / 15, then the ratio is given as,

Ratio = 12 / 15 = 0.80

The fraction 6 / 10 shows the ratio of 3 dogs to 5 dogs is the same. Then the correct option is A.

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Answer:

1860 meters

Step-by-step explanation:

If a downhill skier travels at a speed of 31 m/s, then in 1 second the skier will travel 31 meters.

Therefore, in 60 seconds (1 minute), the skier will travel:

31 meters/second x 60 seconds = 1860 meters

So the skier will travel 1860 meters in 60 seconds at a speed of 31 m/s.

Answer: 1860m/s

Step-by-step explanation:

distance= speed×time   (d=s×t)

31m/s×60s= 1860m/s

The inequality x < 12 represents the number line in which x is less than 12 and the open circle at 12. Then the correct option is A.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The salesperson recommended that the tires maintain an air pressure of no more than 12psi for good traction on the riding surface.

Let 'x' be the salesperson's recommendation pressure. Then the inequality is given as,

x < 12

The inequality x < 12 represents the number line in which x is less than 12 and the open circle at 12. Then the correct option is A.

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Answer:

A. open circle on 12, pointing backwards

Step-by-step explanation:

<3

Answer:

False

Step-by-step explanation:

have a great dayyy

Answer:

False

Step-by-step explanation:

The equation of the circle with center at (3,-4) that passes through (-1,-4) is (x - 3)²+ (y + 4)² = 16

The equation of a circle with center (a, b) and radius r is given by:

(x - a)² + (y - b)² = r²

We are given that the center of the circle is (3, -4), so we can substitute a = 3 and b = -4 in the above equation to get:

(x - 3)² + (y + 4)² = r²

We also know that the circle passes through the point (-1, -4).

Substituting this point into the above equation, we get:

(-1 - 3)²+ (-4 + 4)² = r²

16 = r²

r = 4

Hence, the equation of the circle with center at (3,-4) that passes through (-1,-4) is (x - 3)²+ (y + 4)² = 16

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Answer:

32 cakes

Step-by-step explanation:

Create a proportion where x is the number of cakes sold in the first five minutes:

\(\frac{4}{5}\) = \(\frac{x}{40}\)

Cross multiply and solve for x:

5x = 160

x = 32

So, 32 cakes were sold in the first five minutes

The expression a⁷- a is divisible by 7 if a is an integer.

Given that,

7 divides a^7−a

To find that if a is an integer, then 7 divides a^7 -a or a⁷- a is divisible by the number 7

We can write, where k is an integer

a^7−a=7k

a(a^6−1)=7k

Now if a=k then

a^6−1=7

a^6=8

and a=±1.414 so a^7−a=9.898

If a is not equal to k then

a(a^6−1)=a(a^3+1)(a^3−1)=7k

since a(a+1)(a−1) is the not product of 3 consecutive integers, the expression is divisible by 7.

Hence, The expression a⁷- a is divisible by 7 if a is an integer.

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Answer:

a) distance = 0.5m

b) acceleration = -1.25m/s²

Step-by-step explanation:

v = d/t

d = vt

d = 10/20

= 0.5

a = v/t

= -10/8

= -1.25

a is negative because in the last 8s the care decelerate

Answer: ( . = multiplication sign)

1. 24

2.  4 questions

3.  3 questions

Step-by-step explanation:

1. You first need to find how many points each part was worth. To do this, you need to find the lowest common multiple for 6 and 8. The lowest common multiple is 24.

2.  Part A has questions that were each worth 6 points so, you need to find the value of  X in this equation: X . 6 = 24 .

The value of X is 4.

3. Part B had questions that were 8 points each so you need to find the value of X in this equation: X . 8 = 24  .

X = 3

Answer:

Step-by-step explanation:

peice 1 is represented by variable x

piece 2 is represented by variable y

x+y=9

y+1=x

then combine them to get one equation

(y+1)+y=9

even though it is asking for one equation, it would be easiest to use 2 equations like I did up above

Answer:

x = -14

Step-by-step explanation:

y = 3x

x = 2y +70

(replace)

x = 2(3x) + 70

(simplify)

x = 6x + 70

-5x = 70

x = -14

If the percentage grade of the road is 5%, it means that for every 100 feet of horizontal distance, the road rises by 5 feet.To find the angle that the road makes with the ground, we can use trigonometry. The tangent of an angle is equal to the opposite side (the rise) divided by the adjacent side (the horizontal distance).In this case, the tangent of the angle we are looking for is equal to 5/100 = 0.05. Taking the inverse tangent (tan^-1) of 0.05, we get the angle:tan^-1(0.05) ≈ 2.86 degreesTherefore, the angle that the road makes with the ground is approximately 2.86 degrees

Answer:

1024(0.50)^x

Step-by-step explanation:

Initial value = 1024

Players eliminated per round =half = 50% of players in the round

Using the relation :

A(x) = P(1 - r)^x (decreasing hence, negative)

A(x) = 1024(1 - 50%) ^x

A(x) = 1024(1 - 0.50)^x

A(x) = 1024(0.50)^x

Answer: angle 1 = 36°

              angle 2 = 72°

Step-by-step explanation: As it is decagon with 10 sides so sum of all angles is 1440°

Numbers that include a decimal point are known as real numbers, as it encompasses numbers with decimal points and includes both integers and non-integers. Correct answer is option (d) real numbers.

Real numbers are a broad category that encompasses both rational and irrational numbers. They include numbers with exact values, as well as numbers that extend infinitely without repeating patterns.

Integers, on the other hand, are a subset of real numbers and represent whole numbers without fractional or decimal parts. Integers include positive numbers, negative numbers, and zero.

While real numbers can include integers, they also include non-integer values that have decimal representations. These decimal numbers can be finite, such as 0.5 or 3.14, or they can be infinite and non-repeating, such as the square root of 2 (approximately 1.41421356).

Therefore, the correct answer is real numbers, as it encompasses numbers with decimal points and includes both integers and non-integers.

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2 2/3

Step-by-step explanation:

multiply eight times one

it will be eight over three

the divide eight by three and put in a mixed number

Answer:

The factor of the vertical stretch/compression

Answer:

45.09

Step-by-step explanation:

45.086

6 is more than 5, so round up.

Answer:

It would require 40 teaspoons

Step-by-step explanation:

Given that;

A cookie recipe requires 3 teaspoons of baking soda for 36 cookies

The amount of teaspoons of baking soda required per cookie is;

r = 3/36 teaspoons per cookie

So, for 480 cookies i would require;

N = r × 480 cookies

Substituting r, we have;

N = 3/36 teaspoons per cookie × 480 cookies

N = 40 teaspoons

It would require 40 teaspoons

To differentiate the function f(x) = qx + r/sx + t, where q, r, s, and t are constants, the derivative is given by f'(x) = q - (r/s) * (1/x^2).

To differentiate the given function, we need to apply the rules of differentiation. Let's break down the steps:

1. Differentiate qx with respect to x: Since q is a constant, the derivative of qx is simply q.

2. Differentiate r/sx with respect to x: We can rewrite r/sx as r * (s * x)^(-1). Applying the power rule of differentiation, the derivative of (s * x)^(-1) is (-1) * (s * x)^(-1 - 1) * s = -s/x^2.

3. Differentiate t with respect to x: Since t is a constant, the derivative of t with respect to x is 0.

4. Combining the derivatives obtained from the previous steps, we have f'(x) = q - (r/s) * (1/x^2).

Therefore, the derivative of the given function f(x) = qx + r/sx + t, where q, r, s, and t are constants, is f'(x) = q - (r/s) * (1/x^2).

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The APR, or stated rate, is calculated as the annualized interest rate expressed as a percentage.

The APR, or stated rate, represents the annualized interest rate on a loan or investment, expressed as a percentage.

To calculate the APR, we need to consider the nominal interest rate and the compounding frequency. The formula to calculate the APR is:

APR = (1 + nominal interest rate/compounding periods)^(compounding periods) - 1

The nominal interest rate is the stated rate without taking compounding into account.

The compounding periods refer to the number of times interest is compounded in a year, typically based on daily, monthly, or quarterly periods.

By applying the formula and considering the appropriate compounding periods, we can determine the APR.

The APR is an important metric as it allows for easy comparison of interest rates across different financial products.

It helps consumers and investors understand the true cost or yield associated with a loan or investment and enables them to make informed decisions.

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If you take two steps of different sizes, it is possible to end up at your starting point depending on the directions and magnitudes of the steps. For example, if you take a step forward and then take a step backward of equal magnitude, you would end up at your starting point.

More generally, two vectors with different magnitudes can add up to zero if they have opposite directions and their magnitudes are equal. This means that the vector representing the larger step cancels out the vector representing the smaller step. For example, if you have a vector of magnitude 5 pointing to the right and a vector of magnitude 5 pointing to the left, their sum would be zero.

In the case of three or more vectors, it is also possible for their sum to be zero if the vectors form a closed polygon or a closed loop. This means that the vectors are arranged in a way that their magnitudes and directions cancel each other out when added together. However, not all combinations of three or more vectors will result in a sum of zero. It depends on the specific magnitudes and directions of the vectors.

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Answer:

20%

Step-by-step explanation:

im just built different

Yes , rotating is  a congruence transformation.

What is a congruence transformation?

A transformation that changes the position of the figure while not dynamical its size or form is termed a congruity transformation.

Main body:

A congruity transformation is that the movement or locating of a form specified it produces a form that is congruent to the initial.

Translations, reflections, and rotations are the three types of congruence transformations. That is, the pre-image and the image are always congruent.

Hence ,rotating is  a congruence transformation.

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Answer:

this hard

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

(leg of big triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

15² = x × 20

225 = 20x ( divide both sides by 20 )

\(\frac{225}{20}\) = x , that is

x = \(\frac{45}{4}\) → E

The value of the x in the given triangle is 45/4.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given is right triangle ABC, divided into two more right triangles, ADC and ADB, also, triangle ABD ~ triangle CAD.

Therefore, according to the definition of similar triangles, the corresponding sides are in proportion.

we have,

CA / CB = CD / CA

15/20 = x/15

x = 15²/20

x = 225/20

x = 45/4

Hence, the value of the x in the given triangle is 45/4.

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