The perimeter of the triangle shown is represented by the
expression 10x - 1.
The lengths of two sides are given. Which kind of
expression represents the missing length?
exponential
rational
linear
quadratic
3x + 1
5x - 2

Solution:

The perimeter of the triangle shown is represented by the  expression 10x - 1

The lengths of two sides are given: 3x + 1 and 5x - 2

We have to find the length of third side

We know that,

perimeter of the triangle = sum of length of all three sides

10x - 1 = 3x + 1 + 5x - 2 + third side

10x - 1 = 8x - 1 + third side

third side = 10x - 1 - 8x + 1

third side =2x

2x has variable x and its power is 1

Linear expression is an algebraic expression where the power of variable is equals to 1

Thus linear expression represents the missing length

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.