Answer:
17 nickles !
Step-by-step explanation:
First, identify the variables:
n = amount of nickels
d = amount of dimes
Next, setup the equations based on what you know. The first equation is:
n + d = 28
For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:
0.05n + 0.10d = 1.95
This a three-step answer:
In one formula (you can use any of them; most people use the simplest one), single out the variable on one side
Apply the first formula into the second formula, and solve it to get the value of one variable
Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable
======
Step One:
n + d = 28
n + d - d = 28 - d
n = 28 - d
Step Two:
0.05n + 0.10d = 1.95
(0.05 * (28 - d)) + 0.10d = 1.95
1.40 - 0.05d + 0.10d = 1.95
1.40 + 0.05d = 1.95
1.40 - 1.40 + 0.05d = 1.95 - 1.40
0.05d = 0.55
d = 11
Step Three:
n = 28 - d
n = 28 - 11
n = 17
======
Your answer should be 17 nickels and 11 dimes.
You can double check by applying the variables into both formulas.
n + d = 28
17 + 11 = 28
28 = 28
0.05n + 0.10d = 1.95
(0.05 * 17) + (0.10 * 11) = 1.95
0.85 + 1.10 = 1.95
1.95 = 1.95
I hope this helped.
The total volume of the 40 sphere shaped water balloons is 46032.38 cubic cm.
Radius of 1 sphere = 6.5 cm
We know that the volume of the sphere is given by 4/3 π r³
We will take the radius as 6.5 cm and π as 22/7
Now we will find the volume : 4/3 ×22/7×6.5³ = 1150.81 cubic cm.
Volume of 40 such spheres = 40 × 1150.81 = 46032.38 cubic cm.
The radius of all the spheres are 46032.38 cubic cm.
A sphere is a geometrical entity with three dimensions that resembles a two-dimensional circle. A sphere is a group of points in three dimensions that are all situated at the same r-distance from one another.
The supplied point is the sphere's center, while the letter r stands for the sphere's radius which is half the diameter. The earliest known allusions to spheres are found in the works of two ancient Greek mathematicians.
Therefore total volume of the 40 sphere shaped water balloons is 46032.38 cubic cm .
Disclaimer: The complete question is : Maggie and Amelia filled up 40 water balloons shaped like spheres. Each water balloon had a radius of 6.5 cm.Find the total volume of water required.
To learn more about sphere visit:
brainly.com/question/9994313
#SPJ9
Answer:
74.36 g of aluminium acetate.
730.27g of aluminium acetate.
- to the nearest hundredth.
Step-by-step explanation:
Acetic acid is usually written as CH3COOH.
a. 6CH3COOH + Al(OH)3 ---> Al(CH3COO)3 + 9H2O
So 6 moles of acetic acid produce 1 mole of aluminium acetate.
Using the molecular masses
6*( 1.008*4 + 12.011*2 + 16 *2) g acetic acid gives (26.98+3(36.032+ 2*12.011)
348.228 g acetic acid gives 207.142 g Al acetate.
So 125 g gives (207.142 / 348.228) * 125
= 74.36 g of aluminium acetate.
b.
(26.98 + 3*16 + 3 * 1.008) g of Al(OH)3 gives 207.142 g Al acetate
78.004 g gives 207.142 g Al acetate
275 g gives (207.142 / 78.004) * 275
= 730.27g Al acetate.
Answer:
customary system:
miles
ounces
metric system:
deciliters
kilometers
centigram
Step-by-step explanation:
Answer:
24 ft
Step-by-step explanation:
Hypotenuse = √9²+16²=√81+256=√400=20ft
the upper side of the stuff = 4 ft
total = 20+4=24
