Answer: No, he is not correct
The number of combinations is 190
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Work Shown:
We have 10 shirts, 6 hats, and 4 scarves. This is 10+6+4 = 20 items total.
If we randomly pick out an item, then we have 20 to choose from. After selecting that first item, we have 20-1 = 19 items left to choose from.
So there are 20*19 = 380 different permutations. Order matters with permutations.
Since we aren't worried about order, this means that we've double counted so we have to divide by 2 to fix it.
So there are 380/2 = 190 combinations.
You can use the nCr combination formula with n = 20 and r = 2 to get the same result.
<span>x = 4
Given the description of the triangles, you have 2 similar right triangles. The smaller triangle has a height of 20 and a base of 3x, while the larger has a height of (20+8) = 28 and a base of 4x + 2. We wish to determine the value of x. Since the triangles are similar, the ratio of corresponding sides will be a constant. So:
20/28 = (3x)/(4x+2)
(4x+2)20/28 = (3x)
(20/28)*4x+(20/28)*2 = (3x)
(80/28)*x+(40/28) = (3x)
(20/7)*x + 4/7 = 3x
4/7 = 3x - (20/7)*x
4/7 = (21/7)x - (20/7)*x
4/7 = x/7
4 = x
So the value of x is 4.</span>
Answer:
the solution of the equation is:
Step-by-step explanation:
we are given the expression as
=
we will use the number line rule for inequalities(first by making the coefficients of x positive then taking the roots on the number line and depending on the sign in the equation we start taking alternate signs and depending on the inequality take the desired region)
we get .
Answer:
6.301
Step-by-step explanation:
A) <span>3x + </span><span>2.5y= 27
B) 5x – 2.5y = 5
</span>Adding A and B we get
8x = 32
x = 4
A) 3*4 + <span>2.5y= 27
</span>A) 12 + <span>2.5y= 27
</span>A) <span>2.5y= 15
y = 6
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