Liz is measuring her paper clips. She lines 8 paperclips up along the side of a notebook. The side of the notebook measures 10 2/3. What is the length of each paper clip?

Answer:

a) h = 15

b) x = 4

Step-by-step explanation:

a) set up a proportion:

  5 = h

   8     24

cross-multiply:

8h = 120

h = 15

b) x + 5 = x + 5 + 15

   5x + 1    5x + 1 + 35

cross-multiply:

(x + 5)(5x + 36) = (5x + 1)(x + 20)

5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20

180 = 40x + 20

160 = 40x

x = 4

Answer:

B

Step-by-step explanation:

The rate at Randy's store is 1 gallon of gas for $3

The rate at Sarah's store is 1 gallon of gas for $2.80

So, Randy's store is more expensive.

Answer:  The unit rate is $5 per  mug.

Step-by-step explanation:

To find the the unit rate, you will find the amount  one mug will cost.

If there are 9 mugs  then to get it to one, you will have to divide 9 by 9, and the same way you will have to divide 45 by 9.

45 / 9 = 5  

Answer:

discrete

explanation:

Continuous keeps going but for blood pressure it has to stay in a certain zone.

Answer:

28

Step-by-step explanation:

You can have 8 1x2 verical in a row,

7 with two horizontals stacked on top of each other.

9 with 4 horizontal tiles,

10 with 6 horizontal tiles,

1 8 horizontal tiles set,

1+7+1+9+10=28

Answer:

Perimeter: 30.4 cm

Area:57.76

Step-by-step explanation:

6cm+1.6cm=7.6cm

Perimeter:7.6x4

Area:7.6x7.6

Answer:The tallest man is 72 inches taller than the shortest man.

Step-by-step explanation:

Subtraction:

101in-29in=72inches

Answer:

72 inches taller

Step-by-step explanation:

Answer:160

Step-by-step explanation:

Answer:

there is no picture but if you make another post with the picture, I will more than gladly answer it  :)

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Answer:

We can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:

Step-by-step explanation:

From the coordinate plane, we can clearly identify that:

The distance from Sandy's Hotel to Trader Joes' Store can be calculated such as:

[tex]d=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

The distance between (-8, 9) and (-4, 2)

[tex]d=\sqrt{\left(-4-\left(-8\right)\right)^2+\left(2-9\right)^2}[/tex]

  [tex]=\sqrt{\left(-4+8\right)^2+\left(2-9\right)^2}[/tex]

  [tex]=\sqrt{4^2+7^2}[/tex]  

   [tex]=\sqrt{16+49}[/tex]

    [tex]=\sqrt{65}[/tex]

    [tex]=8.06[/tex] miles

Therefore, we can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:

Answer:

a) x = 2   b) y = 5

Step-by-step explanation:

For a)

NOTE: Since line EC bisects angle FEG, it will be divided into 2 equal parts

angle FEG = 58

angle FEC = 11x + 7

angle CEG = 11x + 7

So:

58 = (11x + 7) + (11x + 7)

58 - 7 - 7 = 11x + 11x

44 = 22x

x = 2

For b)

angle AED = 16y + 10

angle AED = 90°

90 = 16y + 10

90-10 = 16y

y = 80/16

y = 5

Answer:

the answer is 144 feet and I don't really have an explanation

Answer:

Radius = 12 feet

Step-by-step explanation:

The area of a circle formula is Area = pi r^2 ("r" represents the radius)

The area of Circle Q is 144pi

You can substitute "Area" with 144pi, which would look like this:

144pi = pi x r^2

Now divide both sides with "pi", which gives:

144 = r^2

Finally, square root both sides:

sqrt(144) = sqrt(r^2)                     (sqrt = square root)

And that gives

12 = r

So the radius is 12 feet.

Answer:

0.667

Step-by-step explanation:

Answer:

Alyssa=225

Eric=680

Step-by-step explanation:

The money Alyssa has $660 and  Eric has $245.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Alyssa has $75 less than three times Eric.

Let $x be the money Eric had.

Then Alyssa has 3x-75

Together they have $905.

So, x+3x-75=905

4x=905+75

4x=980

x=980/4

x=$245

Money Alyssa has 3x-75

= 3×245-75

= 735-75

= $660

Therefore, money Alyssa has $660 and  Eric has $245.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer: 4.8

Step-by-step explanation:

Step-by-step explanation:

what is the unit of measurement for the 1/4, 1/4, and 1/2?

Answer:

44

Step-by-step explanation:

Number who use balls only = 7 / 20

Number who use rings only = 3/7

Fraction who use both :

1 - (7/20 + 3/7)

1 - 0.7785714

= 0.2214285

If number of jugglers is less than 200

Number of jugglers who use both :

0.2214285 * 200

= 44.285714

Number of jugglers who use both should be about 44

Answer:

The angles measure [tex]65[/tex]° and [tex]115[/tex]°.

Step-by-step explanation:

Supplementary angles are a pair of angles whose measures add up to [tex]180[/tex]°. In this case, we know that one angle is [tex]50[/tex]° bigger than the other one, so if we let the measure of one angle be [tex]x[/tex], then the measure of the other angle will be [tex]x+50[/tex]. Therefore, we can write the following equation to solve for

[tex]x+x+50=180[/tex]

Solving for [tex]x[/tex], we get:

[tex]x+x+50=180[/tex]

[tex]2x+50=180[/tex] (Simplify LHS)

[tex]2x+50-50=180-50[/tex] (Subtract [tex]50[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]2x=130[/tex] (Simplify)

[tex]\frac{2x}{2}=\frac{130}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=65[/tex]

Therefore, [tex]x+50=65+50=115[/tex], so our final answer is that the angles measure [tex]65[/tex]° and [tex]115[/tex]°. Hope this helps!

Answer:

x = 10

Step-by-step explanation:

Given the 2 equations

12x - 6y = 60

24x + 6y = 300

Adding the 2 equations term by term will eliminate the y- term, that is

36x + 0 = 360

36x = 360 ( divide both sides by 36 )

x = 10

Answer: y-intercept: (0, 12)

Step-by-step explanation:

[tex]a_n[/tex] = 9 − 3 (n − 1)

Use the slope-intercept form to find the slope and y-intercept.

  The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

     y = mx + b

  Find the values of m and b using the form y = mx + b.

     m = −3

     b = 12

  The slope of the line is the value of m, and the y-intercept is the value of b.

     Slope: −3

     intercept: (0, 12)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

  Find the x-intercept.

     To find the x-intercept(s), substitute in 0 for y and solve for x.

        0 = −3x + 12

      Solve the equation.

        Rewrite the equation as −3x + 12 = 0.

              −3x + 12 = 0

         Subtract 12 from both sides of the equation.

              −3x = −12

         Divide each term by −3 and simplify.

              x = 4

     x-intercept(s) in point form.

     x-intercept(s): (4, 0)

  Find the y-intercept.

     To find the y-intercept(s), substitute in 0 for x and solve for y.

        y = −3 ⋅ 0 + 12

   Solve the equation.

     Remove parentheses.

           y = −3 ⋅ 0 + 12

       Simplify −3 ⋅ 0 + 12.

           y = 12

     intercept(s) in point form.

     intercept(s): (0, 12)

  Create a table of the x and y values.

      x | y

     0 | 12

     4 | 0

Graph the line using the slope and the y-intercept, or the points.

Slope: −3

intercept: (0, 12)

Answer:

-14

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

-12+(-2)=-14

Answer: -14

Step-by-step explanation:

I know the answer but i dont know if it is supposd to be an equation

6 times 2+  (-8 divided by 4

       12                 -2

            12+-2

            -14

so what you put in the box will be the expression i just did

Pemdas

Parentheses

Exponents

Multiply

Divide

Add

Subract

Answer:

(-0.67412648,-047682599)

Step-by-step explanation:

Answer: The length is 15 feet.

Step-by-step explanation:

But, the problem is asking for the length...

Answer:

x=-9

Step-by-step explanation:

2(14+x)=x+19

28+2x=x+19

x=-9

Answer:

the answer would be A because when u subtract it the answer is $5.21

Answer:

5

Step-by-step explanation:

You have to add the boxes between j and k and that’s how u get your length