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fomenos
3 years ago
10

While at the beach Daniel buys lunch for his family from a food stand he purchased one hotdog for $2.50 and three hamburgers if

you spent $13 total right and solve an equation to find H the amount of each hamburgers cost
Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0

The cost of each hamburger is $ 3.5

<em><u>Solution:</u></em>

Given that, Daniel purchased one hotdog for $2.50 and three hamburgers

He spent $ 13 in total

Let "H" be the cost of each hamburger

From given,

one hotdog for $2.50 + three hamburgers each for "H" = $ 13

Thus we get,

1 \times 2.50 + 3 \times H = 13\\\\2.50 + 3H = 13\\\\\text{Solve the above equation for H}\\\\3H = 13 - 2.50\\\\3H = 10.5\\\\\text{Divide both sides of equation by 3}\\\\H = 3.5

Thus cost of each hamburger is $ 3.5

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The transformations would map EFGH to {\text{E''F''G''H''}} is a reflection across line k followed by a translation down. Option (a) is correct.

Further explanation:

Given:

The compositions of transformations from EFGH to {\text{E''F''G''H''}} are as follows,

(a). A reflection across line k followed by a translation down.

(b). A translation down followed by a reflection across line k.

(c). A {180^ \circ } rotation about point G followed by a translation to the right.

(d). A translation to the right followed by a {180^ \circ } rotation about point G.

Explanation:

Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.

Rotation is defined as a movement around its own axis. A circular movement is a rotation.

The transformations would map EFGH to {\text{E''F''G''H''}} is a reflection across line k followed by a translation down. Option (a) is correct.

Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
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Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: rotation, transformation, map, EFGH, composition, translation, triangle, rotation about point A, mapped, triangle pair, mapping, equal angles, sides, congruent, two triangles, common point.

4 0
3 years ago
Read 2 more answers
What is the sum of all of the four-digit positive integers that can be written with the digits 1, 2, 3 and 4 if each digit must
wel

Answer with explanation:

Number of four digit numbers using four distinct digit

         =Unit placed can be filled in four ways * Tens place can be filled in Three ways * Hundreds place can be filled in 2 ways * Thousand Place can be filled in a single way

=4*3*2*1

=24 distinct numbers

Sum of all four , four digits numbers using 1,2,3,4

          = (If we keep 4 at unit place +Keeping 3 at unit place +Keeping 2 at unit place+Keeping 1 at unit place)×6+At tens place (2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)+At hundred's place (2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)+At thousand's Place(2*2+3*2+1*2+4*2+2*2+1*2+1*2+3*2+4*2+2*2+3*2+4*2)

=(24+18+12+6)Unit place+(60)Ten's place +(60)Hundred's place+(60)Thousand's Place

=66660

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3 years ago
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Answer:

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