Answer: 30 dominoes in total.
Step-by-step explanation:
Each line is 21 inches long.
the space between dominoes is 1 + 1/2 inches.
(assuming that the distance includes the domino itself) Now, we need at least two dominoes to see this distance,
The we have N + 1 dominoes per line, and the distance is:
N*(1 + 1/2)inches = 21 inches
If we find N, we can find the number of domineoes in each line:
N = 21/(1 + 1/2) = 14
This means that we have 14 + 1 = 15 dominoes in each line, and we have two lines, so we have 30 dominoes in total.
Answer:
4/7
Step-by-step explanation:
Using the hint, we have an original fraction of x/(x+3). The given manipulations and relations can be used to find the value of x, and the original fraction.
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<h3>adding 2 to each term</h3>
The new fraction is ...
<h3>new value</h3>
Apparently, the new value of this fraction is 2/3. We can use this to find the value of x.
The original fraction is ...
4/(4+3) = 4/7
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<em>Alternate solution</em>
In the ratio 2/3, the numerator is twice the difference between the denominator and numerator. 2 = 2(3 -2)
The problem statement tells us the difference between the numerator and denominator is 3. That is not changed by adding the same number to each. This means the fraction equivalent to 2/3 is (2·3)/(3·3) = 6/9. Subtracting 2 from each of the numerator and denominator gives the original fraction:
(6-2)/(9-2) = 4/7
Answer:
Step-by-step explanation:ghjhe
Answer:
904.8 cm rounded (904.78 cm^3) to the nearest tenth.
Step-by-step explanation:
V= 904.8 cm rounded (904.78 cm^3) to the nearest tenth.
Step-by-step explanation:
The volume of a sphere is given as 4/3πr^3
There is only one variable, the radius, which we are given in the problem.
since the radius is 6 cm, we can plug that in to the formula
4/3π6^3
Put this into the calculator, and we see that the volume is
904.8 cm rounded (904.78 cm^3) to the nearest tenth.
Answer:
slope = -7/2
Step-by-step explanation:
To find the slope, we will solve the equation for y.
7x-2y=0.2
Subtract 7x from each side.
7x-7x-2y=-7x+0.2
-2y = -7x+0.2
Then we need to divide each side by -2
-2y/-2 = -7x/-2 + 0.2/-2
y = -7/2 x -0.1
This is in the form y= mx+b where m is the slope and b is the y intercept.
So the slope is -7/2 and the y intercept is -0.1
