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2 years ago

Matilda has 19 nickels, 43 dimes, 24 quarters, and 14 fifty-cent pieces. How

Mathematics

1 answer:

Kobotan [32]2 years ago

7 0

Answer:

1125 cent or 11.25

Step-by-step explanation:

19*5=95 43*10=430

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. If m 4 = 105, then what is m 8?

polet [3.4K]

I believe the answer is 210 because 1m= 26.25 and that x's 8= 210

7 0

2 years ago

Read 2 more answers

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

$\frac{x + y}{2} = 5$

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

3 0

2 years ago

-2x(6x^4 -7x^2 +x-5 in standard form pls

LuckyWell [14K]

Answer:

-12x^5 + 14x^3 -2x^2 + 10x

Step-by-step explanation:

-2x(6x^4 -7x^2 +x-5) =

-12x^5 + 14x^3 -2x^2 + 10x

8 0

3 years ago

A landscaper has 125 tiles to build a square patio. The patio must have an area of at least 80 square feet. what are three possi

erma4kov [3.2K]

11x11
10x10
9x9
That’s the answer I think

7 0

2 years ago

The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park

bonufazy [111]

Year New flowers

1 1200

2 300

3 75

There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year

Initially there are 1200 flowers and start decreasing by $\frac{1}{4}$

So first term is 1200 and common ratio is $\frac{1}{4}$ .

Its a geometric sequence so summation becomes

i =1∑ ∞ 1200( $\frac{1}{4})^{i-1}$

Now we find the sum

We use sum formula

$Sum = \frac{a}{1-r}$

Where a is the first term , a= 1200

r is the common ratio , r= 1/4

$Sum = \frac{1200}{1-(\frac{1}{4})}$

$Sum = \frac{1200}{\frac{3}{4}}$

Sum = 1600 wildflowers

4 0

3 years ago