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Olin [163]
3 years ago
12

A painting with dimensions 10 inches by 14 inches is placed in a picture frame (of constant width), increasing its area to 221 s

quare inches. How many inches is the width of the picture frame?
Mathematics
1 answer:
vazorg [7]3 years ago
5 0

Answer:

1.5 inches

Step-by-step explanation:

(10+2x)(14+2x) = 221

4x² + 48x - 81 = 0

4x² + 54x - 6x - 81 = 0

2x(2x + 27) - 3(2x + 27) = 0

(2x + 27)(2x - 3) = 0

x = -27/2, 3/2

x = 3/2 or 1½ or 1.5 inches

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PLEASE HELP ME ASAP!
romanna [79]

Answer:

x =- 3 and y = -7

Step-by-step explanation:

2X-2Y=-8

X=2y + 11

We need to isolate both X and Y in both equations

so

2x-2y=-8

(add 2y to both sides)

2x=-8+ 2y

(divide both sides by 2)

x=-4+y and x=2y+11

because <u>both of these equations are the same </u>we can put them together

4+y=2y+11

(subtract y)

4=y+11

(subtract 11)

-7=y

so y = -7

then to find x you just need to plug in y to one of the equations

x=2(-7) + 11

x= -14 +11

x = -3

6 0
3 years ago
Read 2 more answers
The difference between the number of customers in line at the express checkout and the number in line at the superexpress checko
icang [17]
The table is:0 1 2 3 

x1 0 0.08 0.06 0.04 0.00 

1 0.05 0.18 0.05 0.03 

2 0.05 0.04 0.10 0.06 

3 0.00 0.03 0.04 0.07 

4 0.00 0.01 0.05 0.06 


Expected difference =
+(0.08*(0-0)) +(0.06*(0-1)) +(0.04*(0-2)) +(0.00*(0-3)) +(0.05*(1-0)) +(0.18*(1-1)) +(0.05*(1-2)) +(0.03*(1-3)) +(0.05*(2-0)) +(0.04*(2-1)) +(0.10*(2-2)) +(0.06*(2-3)) +(0.00*(3-0)) +(0.03*(3-1)) +(0.04*(3-2)) +(0.07*(3-3)) +(0.00*(4-0)) +(0.01*(4-1)) +(0.05*(4-2)) +(0.06*(4-3))
= 0.17
6 0
3 years ago
What is 2 2/3 + 4 1/6 = ?
solong [7]
6 and 1/2, or 6 and 3/6
4 0
3 years ago
3x-5y=60<br> 4x+5y=-4<br> what is the system of linear equation
Sergeu [11.5K]

(3x-5y=60)

4x+5y=-4

3(8)-5(7.2)=60

4(8)+5(-7.2)=-4

7x=56

÷7. ÷7

x=8

3(8)-5y=60

4(8)+5y=-4

32+5y=-4

-32. -32

5y=-36

÷5. ÷5

y=7.2

4 0
3 years ago
H (t) = 2t - 2 g(t) = 4t + 5 Find (h(g(t)) ​
ASHA 777 [7]

Answer:

h(g(t))=8t+8

Step-by-step explanation:

We are given the two functions:

h(t)=2t-2\text{ and } g(t)=4t+5

And we want to find:

h(g(t))

So, by substitution, we acquire:

h(g(t))=2(4t+5)-2

Distribute:

h(g(t))=8t+10-2

Simplify:

h(g(t))=8t+8

5 0
2 years ago
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