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brilliants [131]
4 years ago
15

Joey and Nolan are each solving the equation 13x - 42 = 18 - 7x. Joey's first step was to rewrite the equation as 20x - 42 = 18

while Nolan's first step was to rewrite the equation as 13x = 60 - 7x. Who is correctly applying the addition property of equality in the first step of his work? A. Only Joey B. Only Nolan C. Both Joey and Nolan D. Neither Joey nor Nolan​
Mathematics
1 answer:
azamat4 years ago
6 0

Answer:

Correct option: C.

(Both Joey and Nolan)

Step-by-step explanation:

The step Joey did is:

Add 7x to both sides of the equation

Then, he got:

13x - 42 + 7x = 18 - 7x + 7x

20x - 42 = 18

The step Nolan did is:

Add 42 to both sides of the equation

Then, he got:

13x - 42 + 42 = 18 - 7x + 42

13x = 60 - 7x

So both of them used correctly the addition property of equality in the first step of their work.

Correct option: C.

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Which is the simplified form of the expression<br><br> 2<br> (2-3)(x+3)(2)<br> (4-2)(x4)(13)<br> ?
Harlamova29_29 [7]

Answer:

x= 5 whole number and 2/15

Step-by-step explanation:

4 0
3 years ago
Please help me answer #4, #5 and #6
Salsk061 [2.6K]

Answer:

4). The Washington Monument is 169.2-m tall.

Step-by-step explanation:

4). We know this because...

person     1.8       0.7

----------  = -----  = -------

Wash.        x       65.8

We then know to cross-multiply to get:  

1.8(65.8) = 0.7x

Which simplifies down to:

118.44 = 0.7x

x = 169.2

Answer:

5). The pond is 180ft wide.

Step-by-step explanation:

5). We know this because...

90       120

-----  = -------

135        x

We then know to cross-multiply to get:

90x = 120(135)

Which simplifies down to:

90x = 16200

x = 180

Answer:

6). The height of the clock tower is 13ft 9in.

Step-by-step explanation:

6). We know this because...

person       5.5         4

----------  =  --------  = -----

clock            x          10

We then know to cross-multiply to get:

5.5(10) = 4x

Which simplifies down to:

55 = 4x

x = 13.75 (13 ft 9 in)

7 0
3 years ago
Match the base to the corresponding height.
Sergio039 [100]

The first base matches the second height

The second base matches the first height

The third base matches the third height

<h3>Base and height of a triangle  </h3>

From the question, we are to match the base to the corresponding height

In a triangle, the height of the triangle is perpendicular to the base.

Applying this in the given diagram,

The first base matches the second height

The second base matches the first height

The third base matches the third height

Learn more on Base and height of a triangle here: brainly.com/question/17154315

#SPJ1

5 0
2 years ago
Can someone please help with this? I'll give brainliest. I don't understand this... or the explanation it gives... the page befo
tresset_1 [31]

Step-by-step explanation:

Hello!
I'd love to help you learn.
I see the formula attached is 4*(\frac{1}{2})^{x} =-2^{x}-1\\

This problem is explaining you to graph, since algebraically it's a little more harder to try and find the solution.

Since they're both equal to each other, we can assign a variable like y, so we can make them into two individual lines.

You can use your scientific calculator to graph lines like this, or otherwise there are online sources (Desmos helps alot!) which can graph two equations as so.

Now that we have the corresponding system of equations, we can graph both.

y=4*(\frac{1}{2})^x\\ y=-2^x-1
Let's graph them on Desmos on the same plane. The answers are attached. Red is the first equation, blue is the second.

What determines the solutions of a system of equations?

-No solution: the two lines will never intersect/does not intersect ever, which means that there are no set point where it satisfies both equations.

-One solution: the two lines intersect once and only once, meaning that there is that one set point where the x and y values both satisfy both equations.

-Multiple solutions: the two lines will intersect each other multiple times, meaning there are multiple set points where the x and y values satisfy both equations. You usually will not have to worry about these problem sets.

-Infinite solutions: the two lines are both the same line, which means every x and y value will satisfy both equations.

Looking at the solution attached, we can see that there are no places where a system of equations intersect, therefore ruling it that they have no solution.

And to answer your last question, an asymptote is a imaginary line in which a equation can approach closely and closely, but will never touch that imaginary line. Think of a line at y=\frac{1}{x}. When you graph it, you can see that the two lines never ever EVER intersect the y-axis, or x=0; giving that x=0 as a vertical asymptote.

5 0
2 years ago
if j is 21 inches, k is 12 inches, and angle M measures 62 degrees, then find m using the Law is Cosines. round your answer to t
AURORKA [14]

Answer:

18.7

Step-by-step explanation:

The Law of Cosines is c^2=a^2+b^2-2ab cos(C), where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

m^2=21^2+12^2-2(21)(12) cos(62)

Simplify:

m^2=441+144-504 cos(62)

m^2=585-504 cos(62)

m=\sqrt{585-504cos(62)}

m≈18.665...

When rounded to the nearest tenth, m=18.7

6 0
3 years ago
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