Answer:
a. We spent all together 40.2+24.5+37.8=$102.50.
b. We saved 19.8+10.5+7.2=$37.50
c.
Step-by-step explanation:
To find the amount we spend, we multiply the original price by the decimal conversion of each fraction. Then we add the amounts together.
- Sneakers cost $60 and you bought them at 2/3=0.6666....
60(0.67)=$40.20 and saved $19.80
- Sweater costs $35 and you bought it at 7/10=0.7
35(0.7)=$24.50 and saved $10.50
- A jacket costs $45 and you bought it at 5/6=0.8333...
45(0.84)=$37.80 and saved $7.20
We spent all together 40.2+24.5+37.8=$102.50.
We saved 19.8+10.5+7.2=$37.50
We could of spent paying regular price 60+35+45=$140. To find the fraction we place the total we actually paid over the total regular price.
The solution is:A mole of gas occupies 22.4 L A liter is 1000 cubic centimeters because 1 cubic centimeter = 1 mL
One Helium molecule (essentially one helium atom) has atomic mass 4 g/mol So for every 22400 cubic centimeters of volume, we have 4 grams of helium Density of helium = 4g / 22400 cm^3 = 1g / 5600 cm^3
Volume of a sphere = (4/3)(pi)r^3 Volume of the outside sphere (the entire sphere) is (4/3)(pi)(R+T)^3 Volume of the inside sphere (the hollow region) is (4/3)(pi)R^3
The difference for the volume of silver. (4/3)(pi)(R+T)^3 - (4/3)(pi)R^3 = (4/3)(pi)(3R^2T + 3RT^2 + T^3)
The density of silver is 10.5g/cm^3
So the mass of the silver is computed by:10.5*(4/3)(pi)(3R^2T + 3RT^2 + T^3) = (14*pi)(3R^2T + 3RT^2 + T^3) = (14pi)T(3R^2 + 3RT + T^2)
Now for the mass of helium: volume x density = (4/3)(pi)R^3 (1/5600) = (pi/4200)R^3
Set the two masses equal: (pi/4200)R^3 = (14pi)T(3R^2 + 3RT + T^2) R^3 = 58800*T(3R^2 + 3RT + T^2) R / T = 58800*(3R^2 + 3RT + T^2) / R^2 = 58800*( 3+T/R^2+(T/R)^2)
then solve for xx = T / R 1/x = 58800*( 3+x/R+x^2) 1/58800 = x (3 + x/R + x^2) 1/58800 = 3x + x^3 x^3 + 3x - 1/58800= 0 x = ~ 5.66893x10^(-6)
Triangle ABC and triangle XYZ are similar based on angle-side-angle criterion.
Triangle ABC and triangle RQP are similar based on side-angle-side criterion.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.
Triangle ABC and triangle XYZ are similar based on angle-side-angle criterion.
Triangle ABC and triangle RQP are similar based on side-angle-side criterion.
Find out more on equation at: brainly.com/question/2972832
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Answer:
X will be -2
Step-by-step explanation:
Divide each side by factors that don't contain the variable