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boyakko [2]
3 years ago
15

Abdul wants to hang a square poster that measure 1 1/2 feet on a side in the center of a 12-foot-long wall. How far from the end

of the wall should abdul place the side of the poster?
Mathematics
1 answer:
densk [106]3 years ago
8 0

Answer:

5.25 feets

Step-by-step explanation:

Given the question :

Abdul wants to hang a square poster that measure 1 1/2 feet on a side in the center of a 12-foot-long wall. How far from the end of the wall should abdul place the side of the poster?

Length of one side of Square poster = 1 1/2 Feets = 3/2 feets

Length of wall = 12 feets long

Since Abdul wants the poster to be centered in the wall; then the picture should be placed such that there must be equal space left on either side of the wall after hanging.

Hence, (12/2 - 1 1/2) = (6 - 0.75) feets

= 5.25 feets

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During the first part of a​ trip, a canoeist travels 96 miles at a certain speed. the canoeist travels 15 miles on the second pa
blondinia [14]
This problem is a problem using 
d = r * t
First part of the trip
d = 96 miles
r = ??
t = ??

Second part of the trip
d = 15 miles
r = r - 5
t = 4 - t

Solve for r first.
96/r + 15/(r - 5) = 4 hours                multiply through by r and r - 5
96(r - 5) + 15r  = 4*(r - 5)(r)             Remove the brackets on the left
96r - 480 + 15r = 4*r*(r - 5)             Collect like terms on the left.
111r - 480 = 4r(r - 5)                        Remove the brackets on the right.
111r - 480 = 4r^2 - 20r                     Bring the left side over to the right side.
0 = 4r^2 - 20r - 111r + 480               Collect like terms.
0 = 4r^2 - 131r + 480

The only way I could do this was to use the quadratic equation.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 4

b = - 131

c = 480

\text{x = }\dfrac{ -(-131) \pm \sqrt{(-131)^{2} - 4*4*480 } }{2*4}
\text{x = }\dfrac{ 131 \pm \sqrt{(17161) - 7680 } }{8}
\text{x = }\dfrac{ 131 \pm \sqrt{9481 } }{8}
\text{x = }\dfrac{ 131 \pm 97.37  }{8}

x = (131 + 97.38)/8
x = 28.55
x = (131 - 97.37)/8
x = 4.20

4.2 isn't going to work because the slower speed has to be larger than 5, otherwise you will get a negative speed (as this solution will give), so 4.20 is an extraneous solution.

r = 28.55 for the first  part of the trip and
r = 23.55 for the second part of the trip.

Check.
Let's see if the times add up to 4
d/r = t
96/28.55 = 3.36
15/22.75 = 0.64

The times do = 4, so the rates are correct.

Answers
r1 = 28.55 for the 96 mile trip.
r2 = 23.55 for the 15 mile trip.

8 0
3 years ago
Tiara earned 12 dollars on her
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Answer:

C

Step-by-step explanation:

12 + 3x

12 + 3(20)

12 + 60

72

7 0
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The mechanics at Giuseppe’s Auto House specialize in changing fuel injection units and transmissions. Last week, they changed 5
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Answer:

The solution is  (2,6)

Step-by-step explanation:

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y-----> the number of hours to change a transmission

we know that

5x+10y=70 -----> equation A

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Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (2,6)

see the attached figure

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2 years ago
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Mark simplified 3/5 divided by 5/8 his work is shown below.Identify where he made his error.
zheka24 [161]

Answer:

step two

Step-by-step explanation:

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is the product of a fraction that is greater than one and any whole number less than or greater than the whole number?Explain yo
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Greater because the product of the fraction is greater than 1

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