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Marrrta [24]
3 years ago
7

there are some nickles dimes and quaters in a large pinnhy bank for every 2 nickles there 3 dimes for every 2 dimes there five q

uaters there are 500 coins total
Mathematics
1 answer:
atroni [7]3 years ago
4 0

100 nickels 150 dimes 250 quarters

Step-by-step explanation:

Trust me

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Please help!! What is the solution to the quadratic inequality? 6x2≥10+11x
fredd [130]

Answer:

The solution of the inequation 6\cdot x^{2} \geq 10 + 11\cdot x is \left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right).

Step-by-step explanation:

First of all, let simplify and factorize the resulting polynomial:

6\cdot x^{2} \geq 10 + 11\cdot x

6\cdot x^{2}-11\cdot x -10 \geq 0

6\cdot \left(x^{2}-\frac{11}{6}\cdot x -\frac{10}{6} \right)\geq 0

Roots are found by Quadratic Formula:

r_{1,2} = \frac{\left[-\left(-\frac{11}{6}\right)\pm \sqrt{\left(-\frac{11}{6} \right)^{2}-4\cdot (1)\cdot \left(-\frac{10}{6} \right)} \right]}{2\cdot (1)}

r_{1} = \frac{5}{2} and r_{2} = -\frac{2}{3}

Then, the factorized form of the inequation is:

6\cdot \left(x-\frac{5}{2}\right)\cdot \left(x+\frac{2}{3} \right)\geq 0

By Real Algebra, there are two condition that fulfill the inequation:

a) x-\frac{5}{2} \geq 0 \,\wedge\,x+\frac{2}{3}\geq 0

x \geq \frac{5}{2}\,\wedge\,x \geq-\frac{2}{3}

x \geq \frac{5}{2}

b) x-\frac{5}{2} \leq 0 \,\wedge\,x+\frac{2}{3}\leq 0

x \leq \frac{5}{2}\,\wedge\,x\leq-\frac{2}{3}

x\leq -\frac{2}{3}

The solution of the inequation 6\cdot x^{2} \geq 10 + 11\cdot x is \left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right).

3 0
4 years ago
What is the volume of a cone (in cubic inches) of radius 5 inches and height 3
beks73 [17]

Answer:

78.54 cm^3

Step-by-step explanation:

I think thats the answer

6 0
3 years ago
Original price is $56. Discount is 25%. what is the sales price
ella [17]

Answer:

Sale Price = $42 (answer). This means the cost of the item to you is $42. You will pay $42 for a item with original price of $56 when discounted 25%. In this example, if you buy an item at $56 with 25% discount, you will pay 56 - 14 = 42 dollars.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which is the coolest<br><br><br> -5°C<br> -2°C<br> -8°C<br> -12°C
Virty [35]
-12 Celsius because that would equal 10.4 degrees
8 0
3 years ago
Lindsey's goal is to sell at least 35 candles at each of 15 craft fairs. She makes 24 candles each day for 20 days. Use the drop
valina [46]

Answer:

D.Lindsay makes 480 candles. She divides 480 by 15 to get 32. She does not make enough candles.

Step-by-step explanation:

The explanation of the sufficient candles that are required to check whether she reach her goal or not is as follows:

She makes 480 candles that come from

= 24 candles each days × 20 days

= 480 candles

Now if we divide the 480 candles from 15 so we get 32

This is less than the minimum candles required i.e. 35

So, the option D is correct

7 0
3 years ago
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