1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pychu [463]
2 years ago
10

What is the value of (4/5 a 1/3) x 5^2 + 5/6 expressed in simplest form

Mathematics
1 answer:
LekaFEV [45]2 years ago
8 0

Answer:

The choice C.

12 \frac{1}{2}

Step-by-step explanation:

( \frac{4}{5}  -  \frac{1}{3} ) \times  {5}^{2}   +  \frac{5}{6}  \\  \\ ( \frac{12}{15}  -  \frac{5}{15} ) \times 25 +  \frac{5}{6}  \\  \\ ( \frac{12 - 5}{15} ) \times 25 +  \frac{5}{6}  \\  \\ ( \frac{7}{15} ) \times 25 +  \frac{5}{6}  \\  \\  \frac{35}{3}  +  \frac{5}{6}  \\  \\  \frac{70}{6}  +  \frac{5}{6}  =  \frac{75}{6}  \\  \\  =  \frac{25}{2}  = 12 \frac{1}{2}

I hope I helped you^_^

You might be interested in
What is the solution set for 2x + 2 = 6, given the replacement set {1, 2, 3, 4}?
leva [86]
2x+2=6
2x=4
x=2

Hope this helps :)
7 0
3 years ago
Read 2 more answers
Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable
notsponge [240]

Complete Question

ymposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 498 five-syllable sequences from this manuscript showed that 129 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use = 0.01.  

a. What is the value of the sample test statistic? (Round your answer to two decimal places.)  

b. Find the P-value of the test statistic. (Round your answer to four decimal places.)

Answer:

a) Z=2.45

b) P Value=0.0073

Step-by-step explanation:

From the question we are told that:

Probability of Wishart and Leach P=21.4=>0.214

Population Size N=498

Sample size n=12

Therefore

P'=\frac{129}{498}

P'=0.2590

Generally the Null and Alternative Hypothesis is mathematically given by

H_0:P=0.214

H_a:=P>0.214

Test Statistics

Z=\frac{P'-P}{\sqrt{\frac{P(1-P)}{n}}}

Z=\frac{0.2590-0.214}{\sqrt{\frac{0.214(1-0.214)}{498}}}

Z=2.45

Therefore P Value is given as

P Value =P(Z\geq 2.45)

P Value =1-P(Z\leq 2.45)

P Value =1-0.99268525

P Value=0.0073

7 0
3 years ago
The half-life of lead is 22 years. How long will it take for a sample of this substance t decay to 80% of its original amount?
Svetlanka [38]

Answer: 7 years

Step-by-step explanation:

t_{\frac{1}{2} } = In2 / ∧

since the half life is given , we have :

22 = In 2/ ∧

∧ = In2/22

∧ = 0.032

Recall the formula for half life:

\frac{N(t)}{N(0)} = e^{-∧t}

Therefore:

0.80 = e^{-0.032t}

Take the In of both sides

In 0.80 = - 0.032t

t = In 0.80 / - 0.032

t = 7 years

4 0
3 years ago
Point A (5, 6) is translated 3 units left and 5 units up, what are<br> the coordinates of A prime?
Radda [10]

Answer:

A' = (8, 11)

Explain:

5+3=8 & 6+5=11

3 0
3 years ago
Calculate the area of the shaded region. Use 3.14 for pi; round to the nearest tenth, if needed. HELP PLSSS I HAVE TO GET THIS D
icang [17]

Answer:

87.48

Step-by-step explanation:

First find the area of the square

12^2=144

find area of the 2 circles

9*3.14

but theres 2

18*3.14=56.52

144-56.52=87.48

4 0
3 years ago
Other questions:
  • Prove: m∠LYE=180°−m of arc EHL
    8·1 answer
  • Marram spent 3/4 of her allowance at the mall. Of the money spent at the mall1/3 was spent on new earrings. What part of her all
    13·1 answer
  • Please Help<br> Given the function f(x)=x^2+2x+1, find:<br> f(2b)
    14·1 answer
  • A small math department has 6 faculty members and 30 students. It can send 6 people to a national convention and they would like
    5·1 answer
  • Are 5/6 and -4.713 on the same side or the opposite side of zero ?
    12·1 answer
  • Thank you to whoever helps
    10·1 answer
  • Quadrilateral ABCD is graphed on a coordinate plane. Three of its vertices are at A(2,6), Point B(6,8), and Point C(8,4). Which
    12·2 answers
  • I need help with this question​
    10·1 answer
  • Create a list of 5 potential jobs that students of meteorology can obtain.
    13·1 answer
  • A school has a 20:2 student - teacher ratio graph a line representing this scenario part b what is the unit rate
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!