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3 years ago

Make sure to SHOW WORK

Mathematics

2 answers:

attashe74 [19]3 years ago

7 0

9/4=2.25
2.25-1= 1.25

Paha777 [63]3 years ago

4 0

9/4 - 1
make 1 into a fraction
9/4 - 1/1
then make them have common denominator
9/4 - 1/1 multiply 1/1 by 4/4 (which simplified will be one so you're not messing it up)
9/4 - 4/4 now subtract the 4/4 out of 9/4
(you don't subtract the denominators)
so 9 - 4 is 5
9/4 - 4/4 = 5/4

Hope this helps:)

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Mary wants to join a gym.

Leya [2.2K]

Answer:

It would take five months for the total cost of the gyms to be equal.

Step-by-step explanation:

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2 years ago

In triangle $ABC,$ point $D$ is on $\overline{AC}$ such that $AD = 3CD = 12$. If $\angle ABC = \angle BDA = 90^\circ$, then what

Neporo4naja [7]

Answer:

$BD=4\sqrt{3}\ units$

Step-by-step explanation:

we know that

$AD=12\ units$

$3CD=12$ ----> $CD=4\ units$

see the attached figure to better understand the problem

Triangles ABD and BCD are similar by AA Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

$\frac{BD}{AD}=\frac{CD}{BD}$

substitute the given values

$\frac{BD}{12}=\frac{4}{BD}$

$BD^2=48$

$BD=\sqrt{48}\ units$

simplify

$BD=4\sqrt{3}\ units$

8 0

3 years ago

When dividing 82 by 43, Linda estimated the quotient to be 2. Examine Linda’s work, and explain what

Vanyuwa [196]

Answer:

82/43 = 1 and 39/43

Step-by-step explanation:

When dividing 82 by 43 , the operation follows;

82/43 = 1 and 39/43

This means the quotient is 1 and reminder is 39

However;

82/43 = 1.907 ------nearest whole number is 2.

so the quotient can be approximated to the nearest whole number as 2.

8 0

3 years ago

A fossilized leaf contains 18% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as

Sati [7]

Answer: The age of the fossilized leaf is 13829 years.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant

t = age of sample

a = let initial amount of the reactant = 100

a - x = amount left after decay process = $\frac{18}{100}\times 100=18$

a) for completion of half life:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

$t_{\frac{1}{2}}=\frac{0.693}{k}$

$k=\frac{0.693}{5600years}=0.00012years^{-1}$

b) for finding the age

$t=\frac{2.303}{0.00012}\log\frac{100}{18}$

$t=13829years$

The age of the fossilized leaf is 13829 years.

7 0

3 years ago

34. Lora is thinking of a number. It is less than 50 It is a 2-digit number. 3 is a factor of this number. The sum of its digits

-Dominant- [34]

Answer:

Step-by-step explanation:

The number is between 10 and 49

The number is divisible by 3

Let the 10s digit = x

Let the units digit = y

1/3 * (10x + y) = x + y multiply both sides by 3

10x + y = 3(x +y) remove the brackets.

10x +y = 3x + 3y Subtract 3x from both sides

10x - 3x + y = 3y Combine\

7x + y = 3y Subtract y from both sides.

7x = 3y - y Combine

7x = 2y

x can't be very big. Even taking 1/3 will get out of range is you use 6.

Also x should be an even number. The units digit cannot have a fraction in it.

Try making x = 2

7*2 = 2*y

14 = 2y Divide by 2

14/2 = y

y = 7

So the number is possibly 27. Let's check it out.

The number is between and includes 10 and 49. 27 is between these two endpoints.
27 is divisible by 3
1/3(27) = sum of digits
9 = (2 + 7)

All of the conditions are met. It's B

8 0

2 years ago