Alex has 84 quarters and nickels worth a total of $17.80. Which equation can be used to find q, the number of quarters Alex has? 0.25q + 0.05(q – 84) = 17.80 0.05q + 0.25(84 – q) = 17.80 0.25(q – 84) + 0.05q = 17.80 0.05(84 – q) + 0.25q = 17.80

Greetings from Brasil...

→ Collinear points = points belonging to the same line

→ PQ is said to be equal to RS. Let’s call this distance X

→ let's call QR Y

With this information and the figure in the annex we can conclude that:

refer to attached

PQ = X

QR = Y

RS = PQ = X

then

PR = PQ + QR

16 = X + Y       i

PS = PR + RS

21 = 16 + X

X = 5       putting in i

16 = X + Y

16 = 5 + Y

Y = 11

So,

Collinear points are points on the same line.

The value of QR is 11

From the question, we have:'

This means that:

[tex]\mathbf{PR = PQ + QR}[/tex]

[tex]\mathbf{QS = QR + RS}[/tex]

[tex]\mathbf{PS = PR + RS}[/tex]

The given parameters are:

[tex]\mathbf{PS = 21}[/tex]

[tex]\mathbf{PR = 16}[/tex]

[tex]\mathbf{PQ = RS}[/tex]

Substitute the above values in [tex]\mathbf{PS = PR + RS}[/tex]

[tex]\mathbf{21= 16 + RS}[/tex]

Solve for RS

[tex]\mathbf{RS = 21- 16}[/tex]

[tex]\mathbf{RS = 5}[/tex]

This means that:

[tex]\mathbf{PQ = RS = 5}[/tex]

Substitute 5 for PQ in [tex]\mathbf{PR = PQ + QR}[/tex]

[tex]\mathbf{PR = 5+ QR}[/tex]

Substitute [tex]\mathbf{PR = 16}[/tex] in [tex]\mathbf{PR = 5+ QR}[/tex]

[tex]\mathbf{16 = 5+ QR}[/tex]

Solve for QR

[tex]\mathbf{QR = 16 - 5 }[/tex]

[tex]\mathbf{QR = 11}[/tex]

Hence, the value of QR is 11

Read more about collinear points at:

https://brainly.com/question/1593959

Answer:$15-$20

Step-by-step explanation:

56.48 is about 55 38.99 is about 40. 55-40 = 15

Answer:

-4 is the corect answer because when your adding integers depending if your number is negative or positive your sum will either go right or left up or down

Step-by-step explanation:

as shown with the attached file

Answer:

yes

Step-by-step explanation: if you reflect the shape over the x-axis it falls right onto #5

Hope this helps :)

Answer:

I am stuck on that question tooo

Step-by-step explanation:

Step-by-step explanation:

First, let's write an equation.

h= numbers of hours, the instructor will charge $8 per hour.

s= amount of $

"12" is the initial fee.

From this information the equation will look like:

s=8h

However, on our graph, we will have to start on 12 since this was the initial fee. (so on the y, put a dot on 12.)

I think that (0, 12) is the y-intercept but I'm not entirely sure. In reality, your graph can't have any negative h(x) or y(s) values so the graph would be shaped like an "L".

Answer: d(distance) = [tex]\sqrt13\\[/tex]

Hope this help!

Answer: 110 square cm

=======================================================

Explanation:

All sides of a regular polygon are the same length. So the bottom side is also 8 cm.

Draw lines from the center to each vertex of the pentagon. Five triangles form. Each triangle has a base of 8 and a height of 5.5 (since all five triangles are congruent)

area of one triangle = 0.5*base*height = 0.5*8*5.5 = 22

area of five triangles = 5*(area of one triangle) = 5*22 = 110

Answer:

No

Step-by-step explanation:

From what I saw on google for what "one to one" means, It's basically meaning that the bottom of that quadratic function is at point (0 , 0) and hits both (-1 , 1) and (1 , 1) on the graph.

Hey there! I'm happy to help!

Let's call the length and width L and W respectively.

L=2W+8

2W+2L=124

We plug our value of L into the second equation and solve for W.

2W+2(2W+8)=124

We undo the parentheses with the distributive property.

2W+4W+16=124

Combine like terms.

6W+16=124

Subtract 16 from both sides.

6W=108

Divide both sides by 6.

W=18

We plug this W value into the first equation to solve for L.

L=2(18)+8

L=36+8

L=44

So, the length is 44 feet and the width is 18 feet.

Have a wonderful day! :D

Answer:

57°

Step-by-step explanation:

[tex]\angle XYZ \: and \: \angle NOP \: are \: complementary. \\

\therefore m\angle XYZ + m\angle NOP = 90\degree \\

\therefore m\angle XYZ + 33 \degree = 90\degree \\

\therefore m\angle XYZ = 90\degree - 33 \degree \\

\huge \orange {\boxed {\therefore m\angle XYZ = 57\degree}}

[/tex]

Answer:

y=2x

Step-by-step explanation:

x = attendees

y = total of cost for attendees

we know each attendee cost $2 but we don't know how many attendee are there in order to find the total cost y.

Answer:

I'm assuming you mean the negative number of it so -12

Step-by-step explanation:

Answer:

-12 miles

Step-by-step explanation:

below is a key word, so you know you are going down

Answer:

-10

Step-by-step explanation:

3/5(b)=-6

Divide -6 by 3/5, you get -30/3.

The correct option which valid for inequality is the first one that is 3/4 is greater than 2/3.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

In the given option

3/4 is greater than 2/3 is the right one

1/2 is less than 1/3 is not true because 1/2 is more than 1/3.

-1/4 is less than -2/3 is not true because -1/4 is not less than -2/3,

-1 is greater than 3/4​ is not true because -1 is not greater than 3/4s.

Learn more about inequality here;

https://brainly.com/question/20383699

Answer:

wouldnt it be 4,4?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Calculate the distance between two points by filling in the x and y values of both coordinates. How do you find the distance between two points? Distance Formula : Example: For two points, (3,2) and (15, 10) the distance is calculated as: Distance = 14.42 (rounded to the nearest 100th)

Answer:

Don't get wrong i think its d

Step-by-step explanation:

Answer:

weird

Step-by-step explanation:

Answer/Explanation:

Yes, lines s & r are parallel, because they do not meet at any point on the plane!

...Also, it says 25 points, not 50...

Answer:

yes! lines s and r are parallel meaning they will never touch.

Step-by-step explanation:

Answer:

87+10x

Step-by-step explanation:

7 + 10(x + 8)

7 + 10x+80

87+10x

I hope this helps :)

Answer : x= 11°

AngleA=44°

AngleB=55-9=46°

Answer:

first

area of rectangle = l*b

                         =     (3x-y+4) ( X+7)

                       = 3x²-xy + 4x+21x-7y+28

                       = 3x²-xy +25x-7y +28

Area of square = l²

                        = (x-2)²= x²- 4x +4

area of shaded region=( 3x²-xy +25x-7y +28) -(x²- 4x +4)

                                     =2x²-xy +29x-7y+24

Step-by-step explanation:

Answer:

-2.96

Step-by-step explanation:

Answer:

The answer is D, -11 degrees.  

Step-by-step explanation:

Angle RQP is total sum of angles RQU, (96 + x) and UQP, (x + 57).  

Angle RQP = 131.  

(96 + x) + (x + 57) = 131

153 + 2x = 131

2x = -22

x = -11.  

Therefore, answer is -11 degrees.  

Answer:

Below in bold.

Step-by-step explanation:

You do not say if the interest is simple or compound.

Simple Interest: I = PRT/100

= (8600* 2.6 * 4)/ 100

= $894.40.

Compound Interest:- amount after 4 years

= 8600(1 + 0.026)^4

= $9529.89

So the compound interest

= 9529.89 - 8600

= $929.89.

Answer:

  21.81 ft

Step-by-step explanation:

For an arc of measure α and radius r, the arc length is ...

  s = r·α . . . . . . where α is in radians

Then the linear speed is ...

  s' = r·α'

Here the rate of change of arc angle is (π/3)/(17.3) rad/s, so the radius can be found to be ...

  r = s'/α/ = (1.32 ft/s)/((π/3)/17.3 rad/s) = 1.32·3·17.3/π ft

  r ≈ 21.81 ft

The length of the pendulum is about 21.81 feet.

Answer:

14x - 6

Step-by-step explanation:

2(5x - 3) + 2(2x)

10x - 6 + 4x

14x - 6

hopefully this helps you :)

pls mark brainlest ;)

Answer:

a point

Step-by-step explanation:

Answer

A point.

Step-by-step explanation: