You have to use the substitution method by substituting one Y value with the other
First we need to find out the volume of one cylinder. We already know the volume of the block of gold is 360cm3
V = Pie * radius squared* height.
Pie is 3.142
radius is 6.18/2 = 3.09 cm
height is 6cm
V = 3.142 * 3.09 * 3.09 * 6
V = 180cm3
Now we divide the volume of this cylinder with the volume of block of gold.
360/180 = 2
So it will take 2 cylinders to mold one block of gold.
Answer:
OE. 400
Step-by-step explanation:
.25*400=100
(If you don't believe me, do it out.)
<em><u>Hope this helps!!!</u></em>
<em><u>Brady</u></em>
The estimate of the number of students studying abroad in 2003 is 169 and the estimate of the number of students studying abroad in 2018 is 433
<h3>a. Estimate the number of students studying abroad in 2003.</h3>
The function is given as:
y = 123(1.065)^x
Where x represents years from 1998 to 2013
2003 is 5 years from 1998.
This means that
x = 5
Substitute the known values in the above equation
y = 123(1.065)^5
Evaluate the exponent
y = 123 * 1.37008666342
Evaluate the product
y = 168.520659601
Approximate
y = 169
Hence, the estimate of the number of students studying abroad in 2003 is 169
<h3>b. Assuming this equation continues to be valid in the future, use this equation to predict the number of students studying abroad in 2018.</h3>
2018 is 20 years from 1998.
This means that
x = 20
Substitute the known values in the above equation
y = 123(1.065)^20
Evaluate the exponent
y = 123 * 3.52364506352
Evaluate the product
y = 433.408342813
Approximate
y = 433
Hence, the estimate of the number of students studying abroad in 2018 is 433
Read more about exponential functions at:
brainly.com/question/11464095
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Answer:
Each girl had $7.50 when they arrived.
Step-by-step explanation:
We have to figure out what c (cost of each notebook) is first before we find out how much money each girl had. We also know they have the same money, so both sides are connected. The equation should be: 3x = x + 5.
3x = x + 5
<em>First, subtract x from both sides. This cancels out the addition by x.</em>
3x - x = 5
<em>Now, subtract x from 3x. This equals 2x.</em>
2x = 5
<em>To cancel out the multiplication by 2, divide both sides by 2.</em>
x = 5/2
<em>Lastly, divide 5 by 2 to get 2.5.</em>
x = 2.5
<em>Substitute x for 2.5 in the earlier equation (3x = x + 5)</em>
3(2.5) = 2.5 + 5
<em>First, multiply 3 by 2.5 to get 7.5.</em>
7.5 = 2.5 + 5
<em>Add 2.5 to 5 to get 7.5.</em>
7.5 = 7.5
Both sides are equal so we have our answer. So, both girls had $7.50 when they arrived at the store.
