Lucy bought snacks for her team's practice. She bought a bag of apples for $1.85 and a 4-pack of juice bottles. The total cost before tax was $5.49. Write and solve an equation which can be used to determine x x, how much each bottle of juice costs? Equation: x x =

The cost of each pack of bottle = x = $0.91

Step-by-step explanation:

Let 'x' be the cost of one pack of a juice bottle

so the cost of 4-pack of juice bottles = 4x

The total cost of a bag of apples = $1.85

Given that the total cost of a bag of apples and 4-pack of juice bottles before tax = $5.49

Thus, the equation becomes

1.85 + 4x = 5.49

4x = 5.49 - 1.85

4x = 3.64

Divide both sides by 4

4x/4 = 3.64/4

x = 0.91

Thus,

The cost of each pack of bottle = x = $0.91

VERIFICATION

As there are 4 packs of juice bottles and each pack costs = x = $0.91

so 4-packs of bottle = 4x = 4(0.91) = $3.64

cost of a bag of apples = $1.85

Thus, total cost:

$1.85 +  $3.64 =$ 5.49

69

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.