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Leviafan [203]
3 years ago
8

Solving systems of equations using substitution x=3y+10. x=y+2

Mathematics
1 answer:
Inessa [10]3 years ago
6 0

Answer:

x=-2, y=-4. (-2, -4).

Step-by-step explanation:

x=3y+10

x=y+2

----------

3y+10=y+2

3y-y=2-10

2y=-8

y=-8/2

y=-4

x=-4+2=-2

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Genrish500 [490]

Awnser: Its D uhm yea...

Step-by-step explanation:

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3 years ago
The drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup f
Helga [31]

The cost of each t-shirt is <u>$7</u>, using the equation formed from the given conditions.

In the question, we are given that the drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup fee of $40.

We are aske to find the cost of each t-shirt if there are 21 students in the club and the t-shirt order costs a total of $187.

We assume the cost of one t-shirt to be $x.

Thus, the cost of printing 21 t-shirts = $21x.

The setup fee is given to be $40.

Thus, the total cost of printing 21 t-shirts for the dram club = $21x + 40.

But, we are given that the total cost is $187.

Thus, we get an equation,

21x + 40 = 187.

This equation can be solved as follows:

21x + 40 = 187,

or, 21x = 187 - 40,

or, 21x = 147,

or, x = 147/21,

or, x = 7.

Thus, the cost of each t-shirt is <u>$7</u>, using the equation formed from the given conditions.

Learn more about equations at

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7 0
2 years ago
Verify sin(360º - θ)= -sin θ<br> Show your work
Mekhanik [1.2K]

Answer:

A nice way to show it is through the unit circle.

In the unit circle, the point at angle theta from the origin has a y value of sin theta.

If you rotate a point 360-theta degrees from the origin, that is like rotating it theta degrees "backwards", or downwards, which is going to yield the same exact point, reflected through the x-axis. In other words, the y value, or sin(360-theta), is exactly -sin(theta).

4 0
4 years ago
Read 2 more answers
Can someone explain this?
Cerrena [4.2K]
<h2>Hello!</h2>

The answer is:

The missing step is the step shown in the last option:

D. 324=0.042x+16

<h2>Why?</h2>

To find which is the missing step, we need to remember that to cancel a square root, we need to elevate it, so:

Starting from the last step before the missing step, we have:

-18=-\sqrt{0.042x+16}

In order to calculate the value of the variable (x) we need to square both sides of the equation, since squaring a root will cancel the root.

We must remember the following properties:

\sqrt{a^{m} }=a^{\frac{m}{2}}\\\\(a^{b})^{c}=a^{b*c}

Now, finding the missing step, we need to find what to do in order to get the expression of the following step.

So, squaring both sides of the equation in order to cancel the square root and isolate the variable, we have:

-18=-\sqrt{0.042x+16}\\\\(-18)^{2} =(-\sqrt{0.042x+16})^{2} \\324=0.042x+16\\324-16=0.042x\\\\x=\frac{304}{0.042}=7333

Hence, we found the the missing step is:

D. 324=0.042x+16

Have a nice day!

4 0
4 years ago
The heights of women aged 20 – 29 in the United States are approximately Normal with mean 64.2 inches and standard deviation 2.8
Alenkinab [10]

Answer:

a) 0.64

b) -1.13      

Step-by-step explanation:

We are given the following information in the question:

Women:

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Standard Deviation, σ = 2.8 inches

We are given that the distribution of heights of women is a bell shaped distribution that is a normal distribution.

Men:

Mean, μ = 69.4 inches

Standard Deviation, σ = 3.0 inches

We are given that the distribution of heights of men is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

5.5 feet = 66 inches

a)  z‑score for a woman 5.5 feet tall

x = 66\\\\\Rightqrrow z = \displaystyle\frac{66 - 64.2}{2.8} = 0.64

b) z‑score for a man 5.5 feet tall

x = 66\\\\\Rightqrrow z = \displaystyle\frac{66 - 69.4}{3.0} = -1.13

4 0
3 years ago
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