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qaws [65]
3 years ago
11

The ratio of quarters to dimes in a coin collection is 5 : 3. You add the same number of new quarters as dimes to the collection

.
STEP 1: a. Is the ratio of quarters to dimes still 5 : 3?

STEP 2: b. If so, illustrate your answer with an example. If not, show why with a "counterexample."

Mathematics
2 answers:
zubka84 [21]3 years ago
8 0
The other person is right ▼・ᴥ・▼
kondaur [170]3 years ago
3 0

Answer:

Step 1. The answer is no.

Step 2. The answer is b.

Step-by-step explanation:

I think Step 2 already sort of explains the reasoning behind the answer for step 1.

Hope this helps!

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What is the equation of a line with a slope of ​3​ and a point
seraphim [82]
Answer: y = 3x-8

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Explanation:

The slope is 3, so m = 3

The given point is (3,1) meaning x = 3 and y = 1. The x coordinate is always listed first in an ordered pair. The general format is (x,y)

We'll use m = 3, x = 3 and y = 1 to find the y intercept

y = mx+b
y = m*x+b
1 = 3*3+b ... plug in m = 3, x = 3 and y = 1
1 = 9+b
1-9 = 9+b-9 ... subtract 9 from both sides
-8 = b
b = -8

----------------

So we're given m = 3 as the slope and we just found that b = -8 is the y intercept

So y = mx+b updates to y = 3x-8. This is the final answer.

----------------

Side Notes:
* The slope of 3 means rise/run = 3/1 indicating each time we go up 3, we move to the right 1
* The y intercept -8 is the location on the vertical y axis numberline where the graph crosses. The point (0,-8) is on this line.

8 0
3 years ago
How Do I do proofs for proving triangles?
MA_775_DIABLO [31]
You must have been taught postulates and theorems that allow you to prove triangles congruent, such as SSS, SAS, ASA, etc. Look at the given information of a proof, and see how from the given information, using definitions, postulates, and theorems you have already learned, you can show pairs of corresponding sides and angles to be congruent that will fit into the above methods. Then use one of the methods to prove the triangles congruent.
4 0
3 years ago
What is the scale factor, perimeter ratio, surface ratio, and the volume ratio?????????????????????????????
tamaranim1 [39]

Answer:

Scale factor = \frac{4}{9}

Perimeter ratio = 4 : 9

Surface area ratio = 16 : 81

Volume ratio = 64 : 729

Step-by-step explanation:

Volume ratio = \frac{\text{volume of small prism}}{\text{Volume of large prism}}

                      = \frac{128}{1458}

                      = \frac{64}{729}

                      = 64 : 729

Scale factor = \sqrt[3]{\frac{\text{volume of small prism}}{\text{Volume of large prism}}}

                    = \sqrt[3]{\frac{64}{729}}

                    = \frac{4}{9}

Perimeter ratio = Scale factor

                         = \frac{4}{9}

                         = 4 : 9

Surface area ratio = (Scale factor)²

                              = (\frac{4}{9})^{2}

                              = \frac{16}{81}

                              = 16 : 81

3 0
3 years ago
What is the sum of the 3rd and 5th square numbers????
kirill [66]

Answer:

40

Step-by-step explanation:

as 1st sq no is.4 and 2nd sq no. is 36

and their sum is =4+36

=40.....ans

5 0
3 years ago
A bag contains 9 marbles: 5 are green, 2 are red, and 2 are blue. Ryan chooses a marble at random, and without putting it back,
Free_Kalibri [48]

Answer:

green

Step-by-step explanation:

7 0
3 years ago
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