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RoseWind [281]
3 years ago
11

Simplify answer should only contain positive exponents

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
6 0

Answer:

13)  \frac{3m}{2n^2} (answer (C))

14)  \frac{4b}{3} (answer (A))

Step-by-step explanation:

Problem 13)

Cancel  out in PAIRS the common factors in numerator and denominator

\frac{3m^4n^2}{2m^3n^4} =\frac{3m}{2n^2}

which agrees with answer C

Problem 14)

Cancel  out in PAIRS the common factors in numerator and denominator

\frac{4a^2b^2}{3ba^2} =\frac{4b}{3}

which agrees with answer A

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Step-by-step explanation:

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Geometry question, need help!
Anna35 [415]

Answer:

x = 7.5

Step-by-step explanation:

We first labelled the diagram we get

DC = 8

AD = 10

CE = 6

BE = x

∴ AC =AD + DC = 18

∴ BC = BE + ED = x + 6

To Find :

BE = x =?

Solution:

Let DE || AC

In  Δ ABC and Δ DEC

∠A ≅ ∠D    …………..{corresponding angles ∵ DE || AB }

∠B ≅ ∠E      ..............{corresponding angles ∵ DE || AB }

∠C ≅ ∠C    ……….....{Reflexive Property}    

Δ ABC ~ Δ DEC ….{Angle-Angle-Angle  Similarity test}

If two triangles are similar then their sites are in proportion.

\frac{AB}{DE} =\frac{BC}{EC} =\frac{AC}{CD}\ \textrm{corresponding sides of similar triangles are in proportion}\\

On substituting the given values we get

∴ \frac{8}{18} = \frac{6}{6+x} \\\\8(6+x) = 6\times 18\\\\\textrm{using distributive property we get}\\48+8x=108\\8x=108-48\\x=\frac{60}{8}\\ \\x=7.5\\\\\therefore x =7.5

4 0
4 years ago
Chris has 115$ to spend at a shopping mall . If he decides to spend $42 on clothing and $37 on food how much money will he have
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students
dedylja [7]

Answer:

  • <u><em>P(M) = 0.4</em></u>

Explanation:

<u>1. Build a two-way frequency table:</u>

To have a complete understanding of the scenary build a two-way frequency table.

  • <u>Column and rows:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total

  • <u>200 students:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                                                                                      200

  • <u>80 plan to major in mathematics:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                              80                                                   200

  • <u>100 plan to major in computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                                                                           100

No major in CS

Total                              80                                                   200

  • <u>30 plan to pursue a double major in mathematics and computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                  30                                                      100

No major in CS

Total                              80                                                    200

  • <u>Complete the missing numbers by subtraction</u>:

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS                                                                     100

Total                              80                             120                200

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS             50                              50                 100

Total                              80                             120                200

<u>2. What is P(M), the probability that a student plans to major in mathematics?</u>

  • P(M) = number of students who plan to major in mathematics / number of students

  • P(M) = 80 / 200 = 0.4
5 0
4 years ago
Sally bought 3 hamburgers and 2 drinks for 10.45 ja
user100 [1]
The answer is 62.7............................!
6 0
3 years ago
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