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enot [183]
3 years ago
5

Which of the following fractions is greater than -4/5 but less than -3/4

Mathematics
1 answer:
choli [55]3 years ago
7 0

Answer:

B. -19/25

Step-by-step explanation:

You are looking for an answer that is greater than -4/5 (which is equal to -0.80) but less than -3/4 (which is equal to -0.75). So, you can easily convert the fractions to decimals by dividing.

-33/50 = -0.66, which is greater than -0.75, so it can be eliminated.

-19/25 = -0.76, which fits our parameters, so it is the answer.

-19/20 = -0.95, which is less than -0.80, so it can be eliminated.

-7/10 = -0.70, which is greater than -0.75, so it can be eliminated.

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There are 3 3/4 pounds of bricks in a bag. Each brick weighs 5/8 of a pound. How many bricks are in the bag.
Bess [88]

Answer: There are 6 bricks in the bag.

Step-by-step explanation:

Convert from mixed number to decimal number. To do it, divide the numerator of the fraction by the denominator and add the result to the whole number part. Then:

3\frac{3}{4}\ lb=(3+0.75)\ lb=3.75\ lb

Convert from fraction to decimal number. To do it you need to divide the numerator by the denominator. Then, you get:

\frac{5}{8}lb=0.625\ lb

Let be "x" the number of bricks in the bag<em>.</em>

<em> </em>Based on the information given in the exercise, you can set up the following proportion:

\frac{1}{0.625}=\frac{x}{3.75}

Finally, you must solve for "x" in order to find its value. This is:

(3.75)(\frac{1}{0.625})=x\\\\x=6

8 0
3 years ago
Using the provided table, calculate the effective tax rate for a single taxpayer with a taxable income of $52,000.
barxatty [35]

Answer:

Option C is correct ,14.2%

Step-by-step explanation:

In order to determine the effective tax rate of a taxpayer with taxable income of $52,000,the starting point to determine how much in taxes the taxpayer pays as shown below:

First tax bracket=$9,525*10%=$952.5

Second tax bracket=$952.50+(12%*($38700-$9,525))

                                =$952.50+$3501

Third tax bracket(where the taxpayer belongs)=4453.5 +(22%*($52,000-$38,700))

third tax bracket tax=4453.5+$2926 =$7379.5

Since the total tax payable of  $7379.5   is now computed,

effective tax rate=tax paid/taxable income=7379.5/52000 =14.2%

7 0
3 years ago
Read 2 more answers
Solve the equation.<br>5x + 8 - 3x = -10<br>x = -1<br>x=1<br>x=9<br><br><br>​
aksik [14]

Answer:

<h2>x=-9</h2>

solution,

<em>5x + 8 - 3x =  - 10 \\ or \: 5x - 3x + 8 = -10 \\ or \: 2x + 8 = -10 \\ or \: 2x = -10 - 8 \\ or \: 2x = -18\\ or \: x =  \frac{-18}{2 }  \\ x = -9</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>

7 0
3 years ago
Read 2 more answers
A certain tennis player makes a successful first serve 6969​% of the time. Suppose the tennis player serves 9090 times in a matc
Wewaii [24]

Answer:

a) 4.387

b) Yes, because np & npq are greater than 10.

c) = 0.017          

Step-by-step explanation:

Give data:

p = 0.69

n = 90

a) a

E(X) = np = 62.1

SD(X) = \sqrt{(np(1-p))}

          =\sqrt{90\times 0.69(1- 0.69)}

          = 4.387

b)

np = 62.1  

q = 1 - p  = 1 - 0.69 = 0.31

npq = 19.251

Yes, because np & npq are greater than 10.

c.

P(X \geq 72   ) = P(X > 71.5) [continuity correction]

=    P(Z> \frac{((71.5-62.1)}{ 4.387})

= P(Z> 2.14 )      

= 1 - P(Z<2.14)              

= 1 - 0.983   (using table)          

= 0.017          

8 0
3 years ago
If a theater holds 1800 and sells 1/3 of its seats how many tickets does it sell
kozerog [31]

Hey!


A theater holds 1,800 seats. It sells 1/3 of it. That means you have to find 1/3 of 1,800


\frac{1800}{1} \times \frac{1}{3} = \frac{1800}{3} = 600


<em>That means the theater sells 600 seats.</em>


\framebox{Answer = 600 seats}

7 0
4 years ago
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