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sweet [91]
3 years ago
13

Mr young has 30 times as many pencils as jack. The whole class has 200 times as many pencils as jack. If jack has 2pencils, how

many pencils does mr young have ? And the whole school have?
Mathematics
2 answers:
djyliett [7]3 years ago
7 0
Mr young has 60 pencils. The whole class has 400 pencils.
Shtirlitz [24]3 years ago
7 0
Mr young has 60 pencils and the whole class has 400
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A rectangular Corn Hole area at the Recreation Center has a width of 5 feet and a length of 10 feet. If
lbvjy [14]

Answer:

2ft

Step-by-step explanation:

5 x 10=50

7 x 12= 84

5+2=7 and 10+2=12

3 0
3 years ago
Plz help me with this
Setler79 [48]

Answer:   x = 8

                (the correct answer was not provided as an option)

<u>Step-by-step explanation:</u>

log_2(x-6)+log_2(x-4)=log_2(x)\\\\log_2[(x-6)(x-4)]=log_2(x)\\\\(x-6)(x-4)=x\\\\x^2-10x+24=x\\\\x^2-11x+24=0\\\\(x-3)(x-8)=0\\\\x=3\qquad x=8\\\\\\\text{The term after the log symbol  (inside the parenthesis) must be greater than 0!}\\\\Check:\\3-6>0\ \text{FALSE --- so 3 is not a valid solution}\\\\8-6>0\ \text{TRUE}\\8-4>0\ \text{TRUE}\\8>0\ \text{TRUE --- 8 is a valid solution because it is true for all}

8 0
3 years ago
Suppose that the trace of a 2×2 matrix a is tr(a)=15 and the determinant is det(a)=50. find the eigenvalues of
IrinaK [193]
Recall that the characteristic polynomial of a 2x2 matrix \mathbf A=\begin{bmatrix}a&b\\c&d\end{bmatrix} is

\det(\mathbf A-\lambda\mathbf I)=\begin{vmatrix}a-\lambda&b\\c&d-\lambda\end{vmatrix}=(a-\lambda)(d-\lambda)-bc=\lambda^2-(a+d)\lambda+(ad-bc)

but \det(\mathbf A)=ad-bc and \mathrm{tr}(\mathbf A)=a+d, so the characteristic polynomial for \mathbf A is

\lambda^2-\mathrm{tr}(\mathbf A)\lambda+\det(\mathbf A)

We're given that the trace is 15 and determinant is 50, so the characteristic polynomial for the matrix in question is

\lambda^2-15\lambda+50

and the eigenvalues are those \lambda for which the characteristic polynomial evaluates to 0.

\lambda^2-15\lambda+50=(\lambda-5)(\lambda-10)=0\implies\lambda=5,\lambda=10
5 0
3 years ago
What is the 2/6 equal to
-Dominant- [34]

Answer:

2/6 equals 0.3333333333333 and many more threes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
​How much higher is Veronica’s median score than James’s median score?
S_A_V [24]

Answer:

12

Step-by-step explanation:

First, let's calculate both of the medians.

Veronica's Median: 141

James' Median: 129

And now, the only thing left for us to do is complete some simple subtraction.

141 - 129 = 12

Your answer is 12.

4 0
2 years ago
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