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Mariana [72]
3 years ago
10

six friends went to a basketball game. The price of admission per person was $x. four of the friends paid an extra $5 each for a

souvenir t-shirt. Write and simplify an expression that represents the total cost.
Mathematics
2 answers:
lesya692 [45]3 years ago
7 0

Answer:

6x+20 or 2(3x+10)

Step-by-step explanation:

Six friends went to a basketball game and four people paid $5 extra for a t-shirt.  To find the total cost, multiply 6 by x and 4 by 5 this add them together:

6*x+4*5

6x+20, If needed you can factor this expression to:

2(3x+10)

Rasek [7]3 years ago
7 0
<h2>Answer:</h2>

The expression which represents the total cost is given by:

                      2(3x+10)

<h2>Step-by-step explanation:</h2>

It is given that:

six friends went to a basketball game.

The price of admission per person was $x.

This means that total cost of admission will be: $ 6x

Also,  four of the friends paid an extra $5 each for a souvenir t-shirt.

This means that the extra amount that is paid is: 4×5=20

Hence, the total cost is given by:

Total cost=Total cost of admission+Extra cost

i.e.

Total cost= 6x+20

Now, we take out common 2 from both the terms since it is the common multiple of both the terms.

i.e.

Total cost= 2(3x+10)

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10. Polygon WXYZ has vertices W(-1.5, 1.5),
vovikov84 [41]

Answer:

See explanation

Step-by-step explanation:

Polygon WXYZ has vertices W(-1.5, 1.5), X(6, 1.5), Y(6, -4.5), and Z(-1.5, -4.5).

Find the slopes of all sides:

WX:\ \dfrac{1.5-1.5}{6-(-1.5)}=\dfrac{0}{7.5}=0 - horizontal line

XY:\ \dfrac{-4.5-1.5}{6-6}=\dfrac{-6}{0} - slope undefined, so the line is vertical

YZ:\ \dfrac{-4.5-(-4.5)}{-1.5-6}=\dfrac{0}{-7.5}=0 - horizontal line

ZW:\ \dfrac{1.5-(-4.5)}{-1.5-(-1.5)}=\dfrac{6}{0} - slope undefined, so the line is vertical

Vertical and horizontal lines are perpendicular, so all angles W, X, Y and Z are right angles. Hence, quadrilateral WXYZ is a rectangle

6 0
4 years ago
The vertices of quadrilateral MNPQ are M(−3,−2),N(−1,4),P(2,4), and Q(4,−2). Translate quadrilateral MNPQ using the vector ⟨3,−4
timofeeve [1]

Answer:

M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)

Step-by-step explanation:

We are given that the vertices of quadrilateral MNPQ are M(-3,-2),N(-1,4),P(2,4) and Q(4,-2).

We have to translate the quadrilateral MNPQ using vector <3,-4>

The translate the coordinates of vertices (x,y) using the vector <a,b>  is given by the rule

(x,y)\rightarrow (x+a,y+b)

Using the rule

The new coordinates of M

(-3,-2)\rightarrow (-3+3,-4-2)

(-3,-2)\rightarrow (0,-6)

The new coordinates of N

(-1,4)\rightarrow (2,0)

The new coordinates of P

(2,4)\rightarrow (5,0)

The new coordinates of Q

(4,-2)\rightarrow (7,-6)

Hence, after translation the new vertices of quadrilateral are

M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)

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