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Gwar [14]
3 years ago
5

5. A broken rectangular-shaped window is

Mathematics
1 answer:
Gala2k [10]3 years ago
8 0

Answer:

4488

Step-by-step explanation:

(24)(187)

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I NEED THE ANSWER RIGHT NOW PLEASE!!!
strojnjashka [21]

Answer:

Second : 1/6 x + 47

Third : 1 2/3 x + 35 - 1 1/2 x + 12

Fourth : 5 (1/3x) + (5) (7) - (3) (1/2x) + (3) (4)

Step-by-step explanation:

I would start by expanding the expression, showing each step. Then, simplify by collecting like terms.

To expand, you multiply the term outside of the brackets by each term inside the brackets.

5(1/3x + 7) - 3(1/2x - 4)

= 5(1/3x) + (5)(7) - (3)(1/2x) + (3)(4)       Showing how to expand

= 5/3x + 35 - 3/2x + 12           Simplified above step by multiplying

= 5/3x - 3/2x + 47            Collected like terms (35 + 12 = 47)

= 10/6x - 9/6x + 47          Change fractions to the common denominator 6

= \frac{10-9}{6}x + 47   Combine fractions with common denominator

= 1/6x + 47              Fully expanded

See which options match the steps I took to expand the original expression.

The second step is the same as option 4.

The last step is the same as option 2.

I bolded those steps that are the same.

Some options use mixed fractions (whole numbers and fractions).

From the third step, I will convert the improper fractions to mixed fractions.

5/3x + 35 - 3/2x + 12

= 1 2/3x + 35 - 1 1/2x + 12

This is the same as option 3.

\frac{5}{3}x = 1\frac{2}{3}x    On the left side, 5 goes into 3 ONE time. The ONE becomes the whole number. After 5 goes into 3, there is 2 left, which becomes the numerator.

\frac{3}{2}x = 1\frac{1}{2}x   On the left side, 3 goes into 2 ONE time. The ONE becomes the whole number. The remainder is 1, which becomes the numerator.

6 0
3 years ago
Read 2 more answers
The perimeter of the pentagon is 34 inches. Find the length of the side that is unknown. Explain your thinking.
Paladinen [302]

Answer: side = 6.8 inches

Step-by-step explanation:

Side of pentagon = perimeter/5

= 34/5 = 6.8

5 0
3 years ago
Select the solution for the system of linear equations y=3x+4 and y=x+2
Oduvanchick [21]

Answer:

(- 1, 1 )

Step-by-step explanation:

Given the 2 equations

y = 3x + 4 → (1)

y = x + 2 → (2)

Substitute y = 3x + 4 into (2)

3x + 4 = x + 2 ( subtract x from both sides )

2x + 4 = 2 ( subtract 4 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Substitute x = - 1 into either of the 2 equations and evaluate for y

Substituting x = - 1 into (2)

y = - 1 + 2 = 1

Solution is (- 1, 1 )

3 0
3 years ago
Read 2 more answers
Find the price of one pen if ten pens cost $61.80
Free_Kalibri [48]

Answer:

Step-by-step explanation:

$ 6.18 is what each pen costs

5 0
3 years ago
Read 2 more answers
For a binomial distribution with p = 0.20 and n = 100, what is the probability of obtaining a score less than or equal to x = 12
notsponge [240]
The binomial distribution is given by, 
P(X=x) =  (^{n}C_{x})p^{x} q^{n-x}
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) = (^{100}C_{x})(0.2)^{x} (0.8)^{100-x}
                    where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12                  
∴ P(X≤12) = (^{100}C_{0})(0.2)^{0} (0.8)^{100-0} + (^{100}C_{1})(0.2)^{1} (0.8)^{100-1} + (^{100}C_{2})(0.2)^{2} (0.8)^{100-2} + (^{100}C_{3})(0.2)^{3} (0.8)^{100-3} + (^{100}C_{4})(0.2)^{4} (0.8)^{100-4} + (^{100}C_{5})(0.2)^{5} (0.8)^{100-5} + (^{100}C_{6})(0.2)^{6} (0.8)^{100-6} + (^{100}C_{7})(0.2)^{7} (0.8)^{100-7} + (^{100}C_{8})(0.2)^{8} (0.8)^{100-8} + (^{100}C_{9})(0.2)^{9} (0.8)^{100-9} + (^{100}C_{10})(0.2)^{10} (0.8)^{100-10} + (^{100}C_{11})(0.2)^{11} (0.8)^{100-11} + (^{100}C_{12})(0.2)^{12} (0.8)^{100-12}


Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability. 
7 0
3 years ago
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