Solve the following system of equations
by substitution:
-X+y= -5
2x - 5y=1
Which ordered pair is the solution?
Help

Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer:

edgen

The price of the bicycle helmet cost at the time when CPI is 186 is $77.

The tool used to gauge inflation is the consumer price index (CPI). It is used to calculate the typical difference in pricing of household goods between two specified periods. It is an overall assessment of product pricing trends while maintaining quality.

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

CPI = consumer price index in current period

\(C_t\)  = cost of market basket in current period

\(C_0\)  = cost of market basket in base period

Then, we have:

CPI = \(C_t\) / \(C_0\) x 100

So, 186 = \(C_t\) / 41.4 x 100

\(C_t\) = $77

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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.

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.

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

8745.530

Step-by-step explanation:

a₁ = 12

S₂ = 12*(1-r²)/(1-r) = 35

12*(1+r)*(1-r)/(1-r) = 12(1+r) = 35

12r = 23           r = 23/12

S₁₀ = 12*(1-(23/12)¹⁰)/(1-(23/12)

     = 8745.530

The sum of the first 10 terms of the sequence will be 8745.530.

A geometric sequence is a sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

Given that the first term of a geometric sequence is 12 and the sum of the first two terms is 35.

The sum of the first 10 terms will be calculated as below:-

a₁ = 12

S₂ = 12 x (1-r²)/(1-r) = 35

S₂ 12 x (1+r) x (1-r)/(1-r) = 12(1+r) = 35

12r = 23          

r = 23/12

The sum will be calculated as below:-

S₁₀ = 12x (1-(23/12)¹⁰)/(1-(23/12)

S₁₀ = 8745.530

Therefore, the sum of the first 10 terms of the sequence will be 8745.530.

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Answer:

OK, Here is your answer

Step-by-step explanation:

Let's assume the capacity of the drum be C litres.Since the drum is initially 3/4 full, the amount of water in it is 3/4 × C = (3/4)C liters.When 9 liters of water are drawn from the drum, the remaining amount of water is (3/4)C - 9 liters.Since the drum is now half full, the amount of water remaining in it is (1/2)C liters.Therefore, we can write the equation: (3/4)C - 9 = (1/2)CTo solve for C, let's first get rid of the fractions by multiplying both sides by 4.(3/4)C - 9 = (1/2)C → 3C - 36 = 2C → C = 36Therefore, the capacity of the drum is 36 liters.Hence, the drum holds 3/4 × 36 = 27 liters of water initially and after 9 liters of water are drawn, the remaining amount of water in it is 27 - 9 = 18 liters.

Answer:

18 Lieters.

Step-by-step explanation:

found the answer in his answer. ↑↑↑↑

The axis of symmetry of the given quadratic function f(x) = -(x - 2)(x + 4) is x = -1.

Given the function in the question:

f(x) = -(x - 2)(x + 4)

To find the axis of symmetry, first expand  quadratic function f(x) = -(x - 2)(x + 4).

f(x) = -(x - 2)(x + 4)

f(x) = (-x + 2)(x + 4)

f(x) = -x(x + 4) + 2( x + 4 )

f(x) = -x² - 4x + 2x + 8

Collect and add like terms

f(x) = -x² - 2x + 8

To find the axis of symmetry, we can use the formula:

x = -b/2a

Where a = -1 and b = -2.

Substituting these values, we get:

x = -(-2) / 2(-1)

Simplify

x = 2 / -2

x = -1

Therefore, the the axis of symmetry is x = -1.

Option D) x = -1 is the correct answer.

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Step-by-step explanation:

There are different patterns that could be used to determine the next number in this sequence, so there is not necessarily one correct answer. However, one possible pattern is to look at the differences between the numbers and see if there is a consistent change.

If we look at the differences between the numbers, we can see that:

12 - 16 = -4

9 - 12 = -3

The differences are decreasing by 1 each time, so we might expect the next difference to be -2. Therefore, to find the next number in the sequence, we can subtract 2 from 9:

9 - 2 = 7

So one possible answer to "what comes next" in the sequence 16, 12, 9 is 7.

There are different ways to approach this sequence, but one possible pattern is that each term is the result of subtracting a decreasing odd number from the previous term:

Starting from 16: 16 - 4 = 12

Starting from 12: 12 - 3 = 9

Starting from 9: 9 - 2 = 7

Therefore, the next term could be 6, which is obtained by subtracting 1 from 7. However, it's important to note that this is just one possible pattern, and there could be other valid ways to continue the sequence.

Answer: 5 days.

Step-by-step explanation: To solve this problem, we first need to convert 1 7/10 bags of tortillas to a decimal number. We can do this by dividing the numerator of the fraction (7) by the denominator (10) and adding the result to the whole number (1) to get 1 + 7/10 = 1.7 bags of tortillas.

Next, we can divide the number of bags of tortillas that Garrett's burrito stand uses per day (1.7 bags) into the total number of bags of tortillas that are available (8.5 bags) to find out how many days the tortillas will last: 8.5 bags / 1.7 bags/day = 5 days

Therefore, the 8 1/2 bags of tortillas will last for 5 days.

Answer:

ray UV and ray UT

Step-by-step explanation:

The sides are the rays that make up the angle

ray UV and ray UT make up the angle VUT

The 19th term of a geometric sequence is 1048576.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

a = 4 and r = 2

The nth term of a geometric sequence.

= a\(r^{n-1}\)

Now,

The 19th term of a geometric sequence.

= a\(r^{n-1}\)

Substituting a and r values.

= 4 x \(2^{19 - 1}\)

= 4  x \(2^{18}\)

= 4 x 262144

= 1048576

Thus,

The 19th term of a geometric sequence is 1048576.

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The pattern in the following expressions is of square of numbers.

what are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

In given expressions, In divisor the numerator and denominator are square of numerator and denominator in the dividend.

e.g. in (3/5)/(9/25)       9=3^2 and 25=^2

Hence,

            The pattern in the following expressions is of square of numbers.

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Answer:

C. Positive Correlation

Step-by-Step explanation

Because a positive correlation is a relationship between two variables that move in tandem—that is, in the same direction.

The correct information about the function is that B. the slope of Function G is less than the slope of Function F.

It should be noted that the slope is the process of finding the rate of change of the value y which is the dependent variable of the function changes with respect to that of the variable x that is the independent variable.

Here, the slope itself describes the direction and steepness of the line. The slope of Function G is 2, which is less than the slope of 3 that Function F has.

Therefore, the slope of Function G is less than the slope of Function F.

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The completed statement that specifies the rule of congruency between triangle ΔSAT and triangle ΔSAO, is as follows;

ΔSAT ≅ ΔSAO by SAA rule.

Two triangles, ΔA and ΔB are congruent if the three lengths of the sides of triangle ΔA are congruent to the three side lengths of triangle ΔB.

The possible dimensions of the triangles, obtained from the triangle diagrams in a similar question on the site are;

Side ST in triangle ΔSAT is congruent to side SO in triangle ΔSAO

Angle ∠AST in triangle ΔSAT is congruent to angle ∠ASO in triangle ΔSAO

Side SA is congruent to side SA by reflexive property of congruency

Therefore, a side, (ST) an included angle (∠AST) and another side (SA), in triangle ΔSAT are congruent to a side (SO), an included angle (∠ASO), and another side SA in triangle ΔSAO

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Answer: Undefined

Step-by-step explanation:

Replace x with -5

Answer:

the difference of m and 5 is graeter than 10

The answer is 1728

First you must set up the equation

\((\frac{4*6}{2})^3\)

Then, you must multiply the numerator

\((\frac{24}{2} )^3\)

Next, divide

\((12)^3\)

Finally, simplify exponents

\((12^3) =12*12*12\)

12*12*12=1728

Answer:

3

Step-by-step explanation:

4 ×6 :2 ^3 =

24 :8 =

3

Answer:

Kindly check explanation

Step-by-step explanation:

33% is approximately 1/3 of a whole ; that is 1/3 of 100%

Hence, 59 / 3 = approximately 19

Approximately 20

Another way is to take 59 as 60, nearest 10, then divide by 3 to obtain ; (60 /3) = 20

To obtain 25% of 98.50

25% = 1/4th

Take value as 98 and divide by 4

Take value as 100 and divide by 4

2% of 150 people

2% = 1/50

Quick division of 150 into 50 places to obtain the approximate value.

To obtain the exact solution for the questions above :

Multiply 33% by 59

0.33 * 59 = 19.47

Multiply 25% by $98.50

0.25 * $98.50

$24.625

Multiply 2% by 150

0.02 * 150

= 3 people

The speed of the y-coordinate at that moment is 12 units per second, and it is moving in the negative y-direction.

What is a graph?

In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines).

We can start by taking the derivative of the equation xy = 3 with respect to time t:

x(dy/dt) + y(dx/dt) = 0

Now we can substitute the given information: when the point is at (1, 3), dx/dt = 4. Solving for dy/dt:

(1)(dy/dt) + (3)(4) = 0

dy/dt = -12/1 = -12 units per second

The negative sign indicates that the y-coordinate is decreasing.

So the speed of the y-coordinate at that moment is 12 units per second, and it is moving in the negative y-direction.

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The sample space for the arrangement of a teddy bear, a kitten, and an elephant in a row on a shelf consists of six possible arrangements: TKE, TEK, KTE, KET, ETK, EKT.

The sample space for the arrangement of a teddy bear, a kitten, and an elephant in a row on a shelf can be represented as:

{ TKE, TEK, KTE, KET, ETK, EKT }

In this sample space, each element represents a unique arrangement of the three stuffed toys in a row. For example, the element "TKE" represents the arrangement where the teddy bear is placed first, followed by the kitten and then the elephant. Similarly, "ETK" represents the arrangement where the elephant is placed first, followed by the teddy bear and then the kitten, and so on.

There are six possible arrangements for the three stuffed toys because there are three choices for the first position, followed by two choices for the second position, and one choice for the third position. This gives us 3 x 2 x 1 = 6 possible arrangements.

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Answer:

The third one

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

2

Answer:

The answer is (B) 2

Step-by-step explanation:

I took the test on edge and also the person above me is correct hope that you have a wonderful day. (✿◠‿◠)