Call w the unknwon price of the walnuts, then:
total cost of walnuts = 1oz * w
Total cost of peanuts = 4 oz * $4/oz = $16
Total cost of nuts = 5oz * $5 /oz = $25
=> 1oz*w + $16 = $25 => w = ($25 - $16) /1oz = $9/oz
Verfify:
1oz * $9/oz + 4oz * $4/oz = $9 + $16 = $25, which is equal to 5oz * $5/oz.
Answer: $9 per oz.
Answer:
x=11.5
Step-by-step explanation:
18+6x=41+4x
Subtract 4x from each side
18+6x-4x=41+4x-4x
18+2x = 41
Subtract 18 from each side
18-18 +2x = 41-18
2x =23
2x/2 = 23/2
x =11.5
Answer:
The difference between the heights of the poles is 10m
Step-by-step explanation:
The distance between poles is 24 m
The length of the cable is 26m
You first use the Pythagoras' theorem to calculate the vertical distance between the end of one pole and the end of the other one.

The difference between the heights of the poles is 10m
The higher pole has height of 50m
Then, the lower pole has a height of 50m - 10m = 40m
The statements that are true regarding the angles formed by the transversal and parallel lines are:
A. m∠1 = 70°.
B. m∠2 = 110°
C. m∠6 = 70°.
E. m∠9 = 50°
H. m∠16 = 130°
<h3>How to Find the Angles Formed by a
Transversal and Parallel Lines?</h3>
Given the following angle measures formed when two parallel lines ( being cut by two transversals:
Using relevant theorems, let's determine which of the statements are true:
Angles 4 and 1 are vertical angles, therefore they are congruent based on the vertical angles theorem.
m∠4 = m∠1
m∠1 = 70°.
m∠2 = 180 - m∠4 [linear angles theorem]
m∠2 = 180 - 70
m∠2 = 110°
m∠6 = m∠4 [base on the alternate interior angles theorem]
m∠6 = 70°.
m∠9 = 180 - m∠12 [based on the linear angles theorem]
m∠9 = 180 - 130
m∠9 = 50°
m∠16 = m∠12 [based on the corresponding angles theorem]
m∠16 = 130°
The statements that are true are:
A. m∠1 = 70°.
B. m∠2 = 110°
C. m∠6 = 70°.
E. m∠9 = 50°
H. m∠16 = 130°
Learn more about transversal and parallel lines on:
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