Answer:
The dolphin statue is 86% copper, while the bird statue is 83% copper, making the dolphin sculpture more coppery.
Step-by-step explanation:
Since an artist combines copper and other metals to make bronze, and a bronze sculpture of a dolphin contains 43 g of copper for every 7 g of other metals, while a bronze sculpture of a bird contains 83 g of copper for every 17 g of other metals, to determine which sculpture is more coppery the following calculation must be performed:
Dolphin:
43 + 7 = 50
50 = 100
43 = X
43 x 100/50 = X
86 = X
Bird:
83 + 17 = 100
100 = 100
83 = X
83 x 100/100 = X
83 = X
Therefore, the dolphin statue is 86% copper, while the bird statue is 83% copper, making the dolphin sculpture more coppery.
Answer:$104.5
Step-by-step explanation:
cats=c
Dogs=d
2c+3d=455
d=82
Substitute d=82 in 2c+3d=455
2c+3(82)=455
2c+246=455
Collect like terms
2c=455-246
2c=209
Divide both sides by 2
2c/2=209/2
c=104.5
1 cat cost $104.5
Answer:
Step-by-step explanation:
Multiply the GCF of 44, 22, 11 and GCF of
Thus
There is 3600 seconds per hour.
Multiply the speed per second by 3600 to get the speed in miles per hour then convert to kilometer/hour.
4.9 * 3600 = 17,640 miles per hour
17,640 x 1.6 = 28,224 kilometers per hour
To solve this problem, you will first use the Angle Sum Property to determine the value of <em>x </em>after creating an algebraic equation, combining like terms, and subtracting from both sides of an equation.
<h3>Use the Angle Sum Property</h3>
The Angle Sum Property states that all interior angles of a triangle will summate to 180º.
An equation can be created to find this when you are given two angles and missing a third. That third angle can be referred to as <em>x</em> in this scenario.
Adding the two known angles and the unknown angle will result in a sum of 180º. This means that our unknown is <em>x</em> and can therefore be placed in an equation:

<h3>Combine Like Terms</h3>
Combine the like terms by combining the constants on the left side of the equation using addition:


<h3>Subtract</h3>
After combining like terms, subtract 107 from both sides of the equation:


The final answer is <em>x</em> = 73 degrees.