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3 years ago

A stack of nickels has a mass of 45g. There are 9 nickels in the stack. What is the mass of one nickel?

Mathematics

2 answers:

melisa1 [442]3 years ago

8 0

The answer is 5g!!!!

Illusion [34]3 years ago

6 0

<h2>5 grams</h2>

Step-by-step explanation:

Given Information :

Mass of a stack of nickels = 45g

No of nickels in a stack = 9 nickels

Mass of one nickel = ?

Let the mass of one nickel be x

$9 \: nickels = 45g \\ 1 \: nickels = xg$

Cross Multiply

$9x = 45$

Divide both sides of the equation by 9

$\frac{9x}{9} = \frac{45}{9}$

Simplify

$x = 5$

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2 years ago

Help !! Please I can’t find the answer

SVETLANKA909090 [29]

Answer:

$\large\boxed{r^2=(x+5)^2+(y-4)^2}$

Step-by-step explanation:

The equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

<em>(h, k)</em><em> - center</em>

<em>r</em><em> - radius</em>

<em />

We have diameter endpoints.

Half the length of the diameter is the length of the radius.

The center of the diameter is the center of the circle.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the given points (-8, 2) and (-2, 6):

$d=\sqrt{(6-2)^2+(-2-(-8))^2}=\sqrt{4^2+6^2}=\sqrt{16+36}=\sqrt{52}$

The radius:

$r=\dfrac{d}{2}\to r=\dfrac{\sqrt{52}}{2}$

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$x=\dfrac{-8+(-2)}{2}=\dfrac{-10}{2}=-5\\\\y=\dfrac{2+6}{2}=\dfrac{8}{2}=4$

$(-5,\ 4)\to h=-5,\ k=4$

Finally:

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3 years ago

Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?

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2 years ago

Read 2 more answers

One number is 5 times another number.their sum is 90.find the numbers.

alexgriva [62]

Step-by-step explanation:

let both unknowns be x and y

x = 5y. ......(1)

x + y = 90. ......(2)

sub eqn (1) into eqn (2)

5y + y = 90

6y = 90

y = 90/6

= 15

sub y = 15 to eqn (1)

x = 5y

x = 5 × 15

× = 75

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2 years ago