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Paladinen [302]
3 years ago
6

A square piece of fabric has an area of 16x^2+40x+25 square inches. The length of each side of the fabric is cx+d, where c and d

are whole numbers. Find an expression for the perimeter of the piece of fabric. Then find the perimeter when x=2.
Mathematics
1 answer:
lozanna [386]3 years ago
4 0
A=(cx+d)^2=c^2x^2+2cdx+d^2\\\\c^2x^2+2xcd+d^2=16x^2+40x+25\\\Downarrow\\c^2=16;\ 2cd=40;\ d^2=25\\\Downarrow\\c=\sqrt{16};\ cd=20;\ d=\sqrt{25}\\\Downarrow\\\boxed{c=4\ and\ d=5}\\\\The\ length\ of\ side:cx+d=\boxed{4x+5}\\\\The\ perimeter\ of\ the\ piece\ of\ fabric:4(4x+5)=\boxed{16x+20}\\\\For\ x=2:\\16\cdot2+20=32+20=\boxed{52}
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Martin was going to the market to buy apples. The price for apples is $3.50 times the number of apples bought plus one-dollar ta
boyakko [2]

A(n) = 3.50n + 1.00


Martin bought 3^3 apples or 27 apples.


Let n = 27


A(27) = 3.50(27) + 1.00


A(27) = $95.50

3 0
3 years ago
in a class of 20 students, 40% are boys. 25% of the boys and 50% of the girls wear glasses. How man students wear glasses?
statuscvo [17]
20 students.

40% are boys. (40/100)*20 = 0.4 * 20 = 8 boys.
Girls= 20 - 8 =  12 girls.

25% of the boys wear glasses. = (25/100)*8 = 0.25*8 = 2 boys wear glasses.
50% of the girls wear glasses. = (50/100)*12 = 0.50*12 = 6 girls wear glasses.
   
Total students that wear glasses = 2 + 6 = 8 students.
8 students wear glasses.
7 0
3 years ago
Maria calls her mother 5 times every week. Let w represent the number of weeks and c represent the total number of times Maria c
galina1969 [7]

Answer:

Equation: 5w = c

Step-by-step explanation:

{ \tt{w \:  \alpha \: c}} \\ { \tt{w = kc}}

k is a constant of proprtionality

{ \tt{1 = (k \times 5)}} \\ { \tt{k =  \frac{1}{5} }}

» Therefore, equation becomes:

{ \tt{w =  \frac{1}{5}c }} \\  \\ { \boxed{ \tt{5w = c}}}

8 0
3 years ago
What is 68/5 simplified?
GalinKa [24]

Answer:

68/5 is already in the simplest form. It can be written as 13.6 in decimal form (rounded to 6 decimal places)

8 0
3 years ago
Flying against the wind, an airplane travels 5760 kilometers in 6 hours. Flying with the wind, the same plane travels 6300 kilom
Aleks [24]
<h2>Speed of plane = 1110 kmph</h2><h2>Speed of wind = 150 kmph</h2>

Step-by-step explanation:

Let the speed of plane be p and speed of wind be w.

Flying against the wind, an airplane travels 5760 kilometers in 6 hours.

Here

            Speed = (p-w) kmph

            Time = 6 hours

            Distance = 5760 kmph

            Distance = Speed x Time

            5760 = (p-w) x 6

               p-w = 960 -----eqn 1  

Flying with the wind, the same plane travels 6300 kilometers in 5 hours.

Here

            Speed = (p+w) kmph

            Time = 5 hours

            Distance = 6300 kmph

            Distance = Speed x Time

            6300 = (p+w) x 5

               p+w = 1260 -----eqn 2    

eqn 1 + eqn 2

                p-w + p +w =  960 + 1260

                  2p = 2220

                    p = 1110 kmph

Substituting in eqn 2

                1110 + w = 1260

                         w = 150 kmph

Speed of plane = 1110 kmph

Speed of wind = 150 kmph

5 0
3 years ago
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