X=skirt
y=sweater
z=shoes

x+y+z=165
y=8/7x
z=x+11
plug it in
x+(8/7x)+(x+11)=165
2x+8/7x=154
22/7x=154
x=49
y=56
z=60
a skirt cost $49, a sweater cost $56, and a pair of shoes cost $60

7 0

2 years ago

Jennifer is saving money to buy a bike The buce costs $343 She has $115 saved, and each week she adds $19 to her savings How lon

satela [25.4K]

Answer: 12 weeks

Step-by-step explanation:

343-115=228

228/19=12

5 0

2 years ago

Give a rule of the piecewise-defined function.

nataly862011 [7]

The equation of the piecewise function is $f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right$

<h3>The piecewise function</h3>

On the graph, we have:

y = 3 for all x values not more than -1
y = -1 for all values greater than 2

Hence, the piecewise function is:

$f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right$

<h3>The domain of the function</h3>

This is the set of input values

In (a), we have:

x ≤ -1 and x > 2

Hence, the domain is (∞, 3] u (2, ∞)

<h3>The range of the function</h3>

This is the set of output values

In (a), we have:

f(x) = 3 and f(x) -1

Hence, the range is [3] u (-1)

Read more about piecewise function at:

brainly.com/question/18859540

#SPJ1

5 0

1 year ago

Kite EFGH is inscribed in a rectangle where F and H are midpoints of parallel sides. The area of EFGH is 35 square units. What i

sasho [114]

*see attachment for the figure described

Answer:

5 units

Step-by-step explanation:

==>Given the figure attached below, let where FH and EG intercepted be K.

Since FH are midpoints of parallel lines, KE = KG = x.

Given that the area of the kite EFGH = 35 square units, and we know the length of one of the diagonals = HF = KF + KH = 2 + 5 = 7, we can solve for x using the formula for the area of a kite.

Area of kite = ½ × d1 × d2

Where d1 = KH = 7

d2 = EG = KE + KG = x + x = 2x

Area of kite EFGH = 35

THUS:

35 = ½ × 7 × 2x

35 = 1 × 7 × x

35 = 7x

Divide both sides by 7

35/7 = x

x = 5

4 0

2 years ago