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balandron [24]
3 years ago
13

Frank buys p pounds or oranges for $2.29 per pound and the same number of pounds of apples for $1.69 per pound. What does the ex

pression 2.29p + 1.69p represent ?
Mathematics
2 answers:
Zolol [24]3 years ago
8 0
The expression represents the amount of money being spent on p amount of oranges and apples.
vovikov84 [41]3 years ago
4 0

Answer:

$ 2.29 p +  $ 1.69 p denotes total amount spent by Frank on oranges and apples

Step-by-step explanation:

Quantity of oranges bought by Frank = p pounds

Amount  per pound of oranges = $ 2.29

So, total amount spent on oranges = Quantity of oranges bought by Frank × Amount  per pound of oranges = $ 2.29 p

Quantity of apples bought by Frank = p pounds

Amount  per pound of apples = $ 1.69

So, total amount spent on apples = Quantity of apples bought by Frank × Amount  per pound of apples= $ 1.69 p

Therefore, total amount spent by Frank on oranges and apples = Total amount spent on oranges +  Total amount spent on apples

=$ 2.29 p +  $ 1.69 p

So, the expression $ 2.29 p +  $ 1.69 p denotes total amount spent by Frank on oranges and apples .

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Line l is parallel to line e in the figure below.
agasfer [191]

Answer: The correct option are as follows;

(1) The triangles are similar because corresponding sides are congruent

(2) The triangles are similar because alternate interior angles are congruent

(3) In the similar triangles, Angle 3 and Angle 6 are corresponding angles

Step-by-step explanation: Please refer to the picture attached for details.

The line i and line e has been drawn and marked as parallel lines. Also two transversal lines m and n have been drawn to intersect in the region between the parallel lines to form two triangles (as shown in the picture).

From the information given, where line e intersects with line n we have angle 1, and where line e intersects with line m we have angle 3, and then the third angle is angle 2.

Furthermore, where line l intersects line m we have angle 6, and where line l intersects line n is angle 4. Also in this second triangle, the third angle is 5.

Upon close observation we would see that Angle 6 is equal to Angle 3, since the transversal m has cut across both parallel lines l and e. Similarly Angle 4 is equal to Angle 1 since the transversal n has cut across parallel lines l and e. Having that Angles 3 and 1 are congruent to Angles 6 and 4, we can conclude that the value of the third angle in one triangle is equal to the that of the third in the second triangle, that is, Angle 2 equals Angle 5. Also, if the angles are similar and the lines l and e are parallel, then the lines formed in both triangles are equal.

So our conclusions are;

The interior angle are alternate angles (Angles 3 and 6, Angles 1 and 4), and the third interior angles are Opposite (Angles 2 and 5 {Opposite angles are equal})

8 0
3 years ago
Read 2 more answers
Does someone know the answer to this <br> √7x+16+4=x
dalvyx [7]
I think it is 54.332
8 0
3 years ago
Whoever answers this NOW will get brainliest
gavmur [86]

Answer:

I think is -x + 105/42y

Step-by-step explanation:

2(3/10)x - 5/7y - 4(5/6)y - 2(4/5)x

6/10x - 5/7y - 20/6y - 8/5x

6/10x - 8/5x - 5/7y - 20/6y

6-16/10x - 35+140/42y

-10/10x + 105/42y

-x + 105/42y

5 0
3 years ago
Help Please I did to finsh
ki77a [65]

Step-by-step explanation:

Hello there!

Again, plug this into the Pythagorean Theorem.

a^2+b^2=c^2\\2^2+b^2=6^2\\4+b^2=36\\b^2=32\\b=5.65

:)

7 0
3 years ago
Read 2 more answers
What is the GCF of 24 and 20
mestny [16]
Hey there!

Let's find out!


20: 1,2,4,5,10,20

24
1,2,3,4,6,8,12,24

answer
: 4
5 0
3 years ago
Read 2 more answers
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