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3 years ago

Any number that is divisible by 2 is also divisible by 6. Find a counterexample to show that the conjecture is false. 24 14

Mathematics

2 answers:

sdas [7]3 years ago

7 0

200 wpould be the best answer is divisible bye 2 but not 6

Elina [12.6K]3 years ago

4 0

This example is false because 10 and 14 are not divisible by 6.

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Suppose you invest a certain amount of money in account that earns 3% annual interest. You also invest that same amount + $2000

Greeley [361]

First account: $6500
Second account: $8500

Set x is amount of money in first account
=> x + 2000 is money in second account.
X*3% + (x+2000)*4% = 535
=> x = (53500 - 8000) / 7
X = 45500 / 7 = 6500
=> account #1 = x = 6500
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3 years ago

How many sides do a square have

loris [4]

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2 years ago

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Lizzie has 30 coins that total $4.80. All of her coins are dimes, D, and quarters, Q. Algebraically determine how many of each t

Gnom [1K]

Lizzie has 18 dimes and 12 quarters

<em><u>Solution:</u></em>

Let "d" be the number of dimes

Let "q" be the number of quarters

We know that,

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

Given that LIzzie has 30 coins

number of dimes + number of quarters = 30

d + q = 30 ---- eqn 1

Also given that the coins total $ 4.80

number of dimes x value of 1 dime + number of quarters x value of 1 quarter = 4.80

$d \times 0.10 + q \times 0.25 = 4.80$

0.1d + 0.25q = 4.8 ------ eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

d = 30 - q ---- eqn 3

Substitute eqn 3 in eqn 2

0.1(30 - q) + 0.25q = 4.8

3 - 0.1q + 0.25q = 4.8

0.15q = 1.8

From eqn 3,

d = 30 - 12

Thus she has 18 dimes and 12 quarters

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3 years ago

If m FDG = 50°, what is m FEG?<br><br> 75°<br> 50°<br> 100°<br> 25°<br><br> Thank you!

denpristay [2]

The measure of the angle FEG is probably the same as the measure of the angle FDG. There is nothing saying that EF is parallel to DG, but if so, the measure of the angle FEG is also 50º.
When the diagonals of a trapezium with two parallel bases inside of a circle are drawn, they make the same angle measure with those bases.

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3 years ago

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2 years ago