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Harlamova29_29 [7]
3 years ago
6

Dana loves rocks! She has 666 pieces of granite, 333 pieces of marble, 141414 pieces of sandstone, and 111 piece of slate. What

is the ratio of pieces of sandstone to pieces of marble in Dana's collection?
Mathematics
1 answer:
Lilit [14]3 years ago
5 0

Answer: 14:3

Step-by-step explanation:

<h3> The exercise is:</h3><h3> "Dana loves rocks! She has 6 pieces of granite, 3 pieces of marble, 14 pieces of sandstone, and 1 piece of slate. What is the ratio of pieces of sandstone to pieces of marble in Dana's collection?"</h3><h3></h3><h3> </h3>

You can use ratio to compare values.

By definition, ratios can be written in the following form:

a:b

In this case, you know that the number of  pieces of different rocks that Diana has in her collections, are:

granite=6\ pieces\\\\marble=3\ pieces\\\\sandstone=14\ pieces\\\\slate=1\ piece

Since you must compare the number of pieces of sandstone and the number of pieces of marble in Dana's collection, you need to write the following ratio:

sandstone:marble\\\\14:3

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I don't understand this...
romanna [79]

The measurement of angles are :

  • Angle 1 is 123°
  • Angle 2 is 57°
  • Angle 4 is 123°
  • Angle 5 is 123°
  • Angle 6 is 57°
  • Angle 7 is 57°
  • Angle 8 is 123°

Given,

The figure with parallel lines.

Angle 3 is given as 57°

We have to find the other angles.

  • The measure of angle 1;

∠1 + ∠3 = 180° ; Sum of transversal angles is 180°

So,

∠1 = 180 - 57 = 123°

  • The measure of angle 2;

∠2 = ∠3 ; Vertical angles are ≅

So, ∠2 = 57°

  • The measure of angle 4;

∠1 = ∠4 ; Vertical angles are ≅

So, ∠4 = 123°

  • The measure of angle 5;

∠1 = ∠5 ; Corresponding angles are ≅

So, ∠5 = 123°

  • The measure of angle 6;

∠2 = ∠6 ; Corresponding angles are ≅

So, ∠6 = 57°

  • The measure of angle 7;

∠6 = ∠7 ; Vertical angles are ≅

So, ∠7 = 57°

  • The measure of angle 8;

∠5 = ∠8 ; Vertical angles are ≅

So, ∠8 = 123°

Learn more about angles here;

brainly.com/question/21867627

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8 0
1 year ago
Which expression can be used to find 80% of 120?
vampirchik [111]

Answer: the expression (120/100)*80 results in 80% of 120

Step-by-step explanation:

8 0
3 years ago
Eva marked 18% of the e-mails in her Inbox as Important. If she has 150 e-mails in her Inbox, how many did she mark as Important
sdas [7]

Answer:

A

Step-by-step explanation:

To find the percent of a number, write the percent as a decimal and multiply it by the number

8 0
3 years ago
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The diagram below shows the graph of the quadratic function f (x) = ax² + 8x + c. calculate the value for each of the following.
Alexxandr [17]

Answer:

see explanation

Step-by-step explanation:

The y- intercept is at (0, 6) ⇒ c = 6

The x- coordinate of the vertex is at the midpoint of the zeros, that is

m = \frac{-3-1}{2} = \frac{-4}{2} = - 2

Since the zeros are x = - 3 and x = - 1 then the factors are (x + 3), (x + 1) and

f(x) = a(x + 3)(x + 1) = a(x² + 4x + 3)

Comparing with f(x) = ax² + 8x + 6 ⇒ a = 2

Thus

f(x) = 2x² + 8x + 6

Substitute m = - 2 into the equation for value of n

n = 2(- 2)² + 8(- 2) + 6 = 8 - 16 + 6 = - 2

Hence

c = 6, m = - 2, a = 2, n = - 2

3 0
3 years ago
Read 2 more answers
What is the volume of the rectangular Prism w=9.6 l=5 h=7
Inga [223]
Hello :)

The equation to volume of a rectangular prism is:

V=lwh

So, let's plug in the values and solve:

V=5×9.6×7

Answer: 336

Hope this helps and have a great day :D
5 0
4 years ago
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