When you use substitution What are the steps used to find the solution to a system of linear equations?

Answer:

c) 16 cm²

Step-by-step explanation:

Given information,

→ Base = 4 cm

→ Height = 8 cm

Area of triangle formula,

→ Area = ½ × b × h

Now the area of triangle is,

→ ½ × b × h

→ ½ × 4 × 8

→ 2 × 8

→ 16 cm²

Hence, the area is 16 cm².

Answer:

The area of the shape shown is [tex]12.5units^2[/tex]

Step-by-step explanation:

So the formula for solving the area of trapezoids is:

(top base + bottom base) x height ÷ 2

In this case, the equation is:

(7.5 + 2.5) x 2.5 ÷ 2

Let's solve it!

(7.5 + 2.5) x 2.5 ÷ 2 =

10 x 2.5 ÷ 2 =

25 ÷ 2 =

12.5

Which will get 12.5 as an answer.

Since the unit isn't listed, we will just write [tex]unit^2[/tex] instead of [tex]cm^2[/tex] or [tex]in^2[/tex]

Answer:

12.5

Step-by-step explanation:

I split the shape into two shapes: one square, and two identical right triangles

The area of the square is a^2 so 2.5^2 so 6.25

The area of the right triangle A=ab/2 we know one side 2.5 and the other side is just 7.5-2.5 and then halved so also 2.5.

The area of this triangle is 3.125*2 because there are 2 then +6.25

=12.5

Edit: Just realized there was a much simpler way to do this lol I just normally can't do math the regular way. You can just do the area of the trapezoid

Answer:

=4x+1

Step-by-step explanation:

Let's simplify step-by-step.

2(2x+3)−5

Distribute:

=(2)(2x)+(2)(3)+−5

=4x+6+−5

Combine Like Terms:

=4x+6+−5

=(4x)+(6+−5)

Answer:

x ≈ 17.1 m

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = 9² + 14.5² = 81 + 210.25 = 291.25 ( take the square root of both sides )

x = [tex]\sqrt{291.25}[/tex] ≈ 17.1 m ( to 1 dec. place )

Answer: For the linear relationship in A, the y-intercept is the point where the line crosses the y-axis. This point represents the starting balance on Ailee's gift card before she makes any purchases.

The y-intercept of this linear relationship is the point (0, 20), which represents the fact that Ailee's gift card has a starting balance of $20 before she makes any purchases.

For the linear relationship in B, the y-intercept is the point where the line crosses the y-axis. This point represents Duncan's starting elevation before he begins to hike.

The y-intercept of this linear relationship is the point (0, 1000), which represents the fact that Duncan starts his hike at an elevation of 1000 feet.

Step-by-step explanation:

Answer:

−56

Step-by-step explanation:

Perform addition

[tex]- 14 - 38x + 14 -28x - 28x[/tex]

Answer:

B

Step-by-step explanation:

y-intercept is positive 5 so that eliminates answer choices A and C

to decide between B and D, select a point in the solution area; for example, (0, 0). Plug these values into B and D and see which one it is true for

B)  0 ≥ -3(0)-5

Is 0 ≥ -5  Yes

D) 0 ≤ -3(0)-5

Is 0 ≤ -5  No

Answer:

y ≤ –3x + 5

Step-by-step explanation:

Answer:  The answer that I got was J.

Therefore, the height of the ball after four seconds is 448 feet.

Height refers to the vertical distance between something's top and bottom or its base and anything above it. Height is used to describe everything that may be measured vertically, high or low.

Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

We need to plug t = 4 into the equation h = -16t^2 + 176t.

h = -16(4^2) + 176(4)

h = -16(16) + 704

h = -256 + 704

h =  448 feet.

So, 448 feet is the height after four seconds.

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Answer:

2x + 1 = 29

Step-by-step explanation:

There are a lot of answers.

2x + 1 = 29

2x + 1 = 29  Subtract 1 from both sides

2x = 28  Divide both sides by s

x = 14

Start off knowing that x will be 14, then multiply 14 by some number and then add or subtract some number from that and put that on the other side of the equal sign.

x = 14

14 x 2 = 28 and then add 1 to that to get 29

2x + 1 = 29

Answer: Do you want x=14 or for it to equal 14, because I have it both ways. For x=14, an acceptable two step equation would be 2x-5=23. If you want it to equal 14, then you can write 5x-1=14

Step-by-step explanation:

For x=14:

2x-5=23

Add 5 on both sides

2x=28

x=14

For the equation to equal 14:

5x-1=14

Add one on both sides

5x=15

x=3

The term Euler's number (e) refers to a mathematical expression for the base of the natural logarithm. This is represented by a non-repeating number that never ends.

The first few digits of Euler's number are 2.71828.

Given log(base_12)1728,

where base = 12

1728 = x

Factor out 1728 to 12^3 to apply the logarithmic rule, log(base_b)b^n = n

This gives you:

log(base_12)(12^3) = 3

The base 12 and the value of x = 12 cancels out, leaving you with 3.

To help determine the order of operations and other aspects of logical syntax, mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.

To find which expression is equivalent to log₅32:

Law of logarithms:

The law of logarithms states that: log(a) b = log(10)b/log(10)a

Given the log function, which is written as log₅32

a = 5

b = 32

Substitute as: log₅32 = log32/log5

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Answer: If there are 198 calories in 4 ounces if ice cream it will be 396

Step-by-step explanation:

Answer:

The plumber would earn $190 in 5 hrs and 30 mins

Step-by-step explanation:

- We know the plumber worked from 2:30-8:00 which is 5 hrs and 30 min [5.5 hrs]

- We know the plumber charges the client $80 for the call and $20/hr for the work

1. I multiplied $20 x 5.5= $110+80=$190

or you could just do 100 x 5.5 [but it would it work since the plumber is charging per hour]

Have a great day, hope this helped <3

Therefore, the sine of any angle can also only be between -1 and 1, inclusive.

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.

Lines (line segments) and points make up the forms we perceive (vertices). To create a shape, these line segments are connected at their vertices. These lines' sides are what they are known as. The line segment that connects two vertices of a form or two-dimensional object is referred to as a side in geometry.

The sine of an angle can never be greater than 1 because the sine function maps an angle to the y-coordinate of the point on the unit circle that corresponds to that angle. The y-coordinate of any point on the unit circle is always between -1 and 1, inclusive. Therefore, the sine of any angle can also only be between -1 and 1, inclusive.

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Answer: 1:3

Step-by-step explanation:

I'd say 1:3 but I could be wrong

Answer:

i wish i could help im sorry

Step-by-step explanation:

im

not

ok

Answer:

30 cm

Step-by-step explanation:

For perimeter you just need to add all the outer sides.

6+6.5+4+4+9.5

Evaluate that and you get 30.

That's your answer.

(Remember perimeter is the value AROUND the figure.)

Answer:

x= -4

y=2

put the values

( -4-16)2+(2-6)2=1

(-20)2+(-4)2=1

-40-8=1

-48 is not equal to 1.

Answer:

uuhhhh  t=2/3n-2/3

Step-by-step explanation:

x² + 6x + 9, this is a perfect square trinomial, which is expressed as

(x + 3)².

Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."

An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.

A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.

Given that,

x² + 6x + 9

= (x)² + 2(3x) + 9

= (x)² + 2(x)(3) + 3²

This is similar to a² + 2ab + b² = (a + b)²

so, we can write:

= (x + 3)²

= (x +3) (x + 3)

so, this is a perfect square trinomial.

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10,000 randomly chosen registered users receive an email survey from the company. The survey findings are most susceptible to nonresponse bias.

A news website sends an email survey to 10,000 randomly chosen registered users in order to learn which other websites its readers visit for their technology news. The most common sort of bias that the survey results are vulnerable to is nonresponse bias. Because convenience sampling, which many researchers engage in, frequently leads to undercoverage bias in survey research, it is a widespread problem.

Coverage bias, like many other potential problems in survey research and data gathering in general, can significantly change your survey results and compromise the integrity of your research. This phrase describes the several circumstances and biases that may affect survey results. Regardless of whether the bias was deliberate or unintentional, erroneous survey results make the information less helpful.

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Answer: 12 cups of applesauce

Step-by-step explanation:

Tim received 8 SMS on Monday, 4 emails on Thursday, and 0.52 of the communications were emails, which is the solution to (a), (b), and (c).

When two sets of data are joined and their frequencies are combined, a composite bar chart is utilized. Two pieces of data—emails and texts—are included in this inquiry, but they both fall under the same heading, "messages." With regard to question (a), it is clear from the diagram that Tim got 8 texts on Monday. In order to answer question (b), we must determine how many emails Tim received on Thursday. To do this, we must look at the bar for Thursday and divide the total number of texts by the total number of messages to determine the number of emails received. 15-11=4, indicating that Tim received 4 emails on Thursday.

given

Tim for five days, total the emails received, and then determine the percentage of emails relative to messages.

Total messages: 14+16+14+15+14=73.

Emails totaled: 6 + 10 + 10 + 4 + 8 = 38

Email to message ratio is equal to 0.52.

Emails made up 0.52 of the messages, therefore.

Tim got 8 texts on Monday, 4 emails on Thursday, and 0.52 of the messages were emails, according to an analysis of the composite bar chart we used to determine the answers to the three questions.

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The complete question is :- The composite bar chart Messages received shows the number of messages Tim received each day for five days.

a) How many texts did Tim receive on Monday?

b) How many emails did Tim receive on Thursday?

c) In total, what fraction of the messages were emails?

Give your answer in its simplest form.

Graphing exponential functions and logarithms involves understanding the key characteristics of these functions and how they are represented on a graph.

Asymptotes: The graph of an exponential function does not have any asymptotes.

Domain and range: The domain and range of an exponential function are all real numbers.

Increasing or decreasing: An exponential function is always increasing.

Shape: The graph of an exponential function is concave up.

y-intercept: The y-intercept is (0,1)

x-intercept: The x-intercept does not exist.

To graph an exponential function, you can start by plotting the y-intercept (0,1) on the graph. Then, you can use the information about the shape of the graph (concave up) and the increasing nature of the function to determine the general shape of the graph.

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7 hours Serenity worked if she made a total of $262. 50.

How do you calculate total hours in a number?

To find the total hours, subtract the time the employee clocked in from when they clocked out.

We can start by using the following equation to find the total number of hours Serenity worked:

Total Earnings = (Hourly Wage) * (Number of Hours) + (Tips)

In this case, we know that Serenity's total earnings were $262.50, she earned $12.50 per hour and made $175 in tips on Saturday. So we can substitute these values into the equation:

$262.50 = ($12.50) * (Number of Hours) + $175

To find the number of hours, we can subtract the tips from the total earnings and divide by the hourly wage:

Number of Hours = ($262.50 - $175) / $12.50

= $87.50 / $12.50

= 7

So Serenity worked 7 hours on Saturday.

Hence, 7 hours Serenity worked if she made a total of $262. 50.

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Step-by-step explanation:

I have to assume the equations are

4x + y = 13

(1/2)y = -2x + 5

let's bring both of them into a "y = ..." form :

y = -4x + 13

y = -4x + 10

now we see that both equations are lines with the same slope but different y-intersect.

so, they are parallel but not identical.

therefore, there are 0 solutions. the lines will never intersect and have no point in common.

Answer:

y = 4

Step-by-step explanation:

7.5y = 30

y = 4

Answer:

[tex]y = 4[/tex]

Step-by-step explanation:

[tex]13.7y=6.2y+30[/tex]

[tex]13.7y−6.2y=30[/tex]

[tex]7.5y=30[/tex]

[tex]y = \frac{30}{7.5} [/tex]

[tex]y = 4[/tex]

Answer:-4x/6 + 5x/2

Step-by-step explanation:

just combined it