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Alinara [238K]
2 years ago
12

96.

Mathematics
1 answer:
grin007 [14]2 years ago
4 0
3.5x+2y=total. X is adults. Y is children
(3.5 times 2) plus (2 times 3). 7 plus 6. Total is 13$
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.3 3. True or False? For any integer m, 2m(3m + 2) is divisible by 4. Explain to get credit.
Sav [38]

Answer with explanation:

We have to prove that, For any integer m, 2 m×(3 m + 2) is divisible by 4.

We will prove this result with the help of Mathematical Induction.

⇒For Positive Integers

For, m=1

L HS=2×1×(3×1+2)

      =2×(5)

       =10

It is not divisible by 4.

⇒For Negative Integers

For, m= -1

L HS=2×(-1)×[3×(-1)+2]

      =-2×(-3+2)

       = (-2)× (-1)

       =2

It is not divisible by 4.

False Statement.

4 0
3 years ago
If a work group consistently achieves 80 % of its quarterly goals and the work group generally has 25 objectives per quarter how
arlik [135]
20 objectives per quarter.
6 0
2 years ago
Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?
sergejj [24]

Answer:

No, it isn't.

Step-by-step explanation:

We have V=IR^{2} and let H be the subset of V of all points on the line

4x+3y=12

We need to find if H is a subspace of the vector space V.

In IR^{2} all the possibilities for own subspace of the vector space IR^{2} are :

  • IR^{2} itself.
  • The vector 0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]
  • All lines in IR^{2} that passes through the origin  (  0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]  )

We know that H is the subset of IR^{2} of all points on the line 4x+3y=12

If we look at the equation, the point \left[\begin{array}{c}0&0\end{array}\right] doesn't verify it because :

4x+3y=12\\4(0)+3(0)=12\\0=12

Which is an absurd. Therefore, H doesn't contain the origin (and H is a line in IR^{2}). Finally, it can't be a vector space of V=IR^{2}

8 0
2 years ago
label the Venn diagram with number categories. Then classify each of the given numbers by written it in an appropriate place on
DiKsa [7]

I need to see the diagram in order to answer your question.

7 0
3 years ago
Joyce saved $70 on an item that was 75 % % off. What was the original price?
SashulF [63]

if Joyce saved $70

at 75% off, Joyce saved 25%

so, $70 is 25%

To find the total price which is 100%, multiply $70 by 4 ( because 25% x 4 = 100% )

so the original price is $70 x 4 = $280

4 0
3 years ago
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