The original photo was 11 inches wide by 14 inches high the new photo will be 132 inches wide what will be the new height

Answers

Answer 1
Answer:

They are similar rectangles. Therefore, the side lengths are proportional:

(11)/(132)=(14)/(x)\ \ \ \ |\text{cross multiply}\n\n11x=132\cdot14\ \ \ \ |:11\n\nx=(132\cdot14)/(11)\n\nx=(12\cdot14)/(1)\n\nx=168

Answer: The new height will be equal 168 inches.


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A fruit company delivers its fruit in two types of boxes:large and small. A delivery of 9 large boxes and 7 small boxes has a total weight of 216 kilograms. A delivery of 3 large boxes and 5 small boxes has a total weight of 90 kilograms. How much does each type of boxes weigh?

Answers

Answer:

The weight of the larger box is 18.75 kg

The weight of the small box is 6.75 kg

Step-by-step explanation:

Let

x -----> the weight of large box

y ----> the weight of small box

we know that

The system of equations is equal to

9x+7y=216 -----> equation A

3x+5y=90 -----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (18.75,6.75)

therefore

The weight of the larger box is 18.75 kg

The weight of the small box is 6.75 kg

Which equation could be used to create the data shown in the table?y = 4x + 1
y = 5x
y = 5x + 1
y = x + 4

table

x y
1 5
4 17
5 21
7 29
9 37

Answers

Answer with explanation:

The table is

 x y

1 5

4 17

5 21

7 29

9 37

→→Ratio of Difference between y value and x value or slope which is equivalent to back statement is

   =(17-5)/(4-1)=(21-17)/(5-4)\n\n=(29-21)/(7-5)=(37-29)/(9-7)=4

Slope between two points is same.So, the following points represents straight lie.

Equation of line is given by

    \rightarrow y-y_(1)=m(x-x_(1))\n\n\rightarrow y-5=4 (x-1)\n\ny-5=4 x-4\n\n4 x-y+5-4=0\n\n4x-y+1=0\n\ny=4 x+1

Option A: y=4 x+1                          

equation could be used to create the data shown in the table is the first equation y = 4x + 1