3 years ago

Define a variable. Then write and solve an equation for each situation.

2 answers:

4 0

180 = 1.5d
180 / 1.5 = d
120 = d <== the Parker family drove 120 miles
=================
80% of the total questions = 16
0.80x = 16
x = 16 / 0.80
x = 20 <== there were 16 total questions on the quiz

artcher [175]3 years ago

4 0

Step-by-step explanation:

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A $65 meal is put on the table. The couple plans on leaving an 18% tip. How much should be left altogether?

elena-14-01-66 [18.8K]

Answer:

76.70

Step-by-step explanation:

8 0

3 years ago

A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of

anzhelika [568]

9514 1404 393

Answer:

205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

A = LW

7585 = (6w-17)(w)

6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

$x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}$

The width is 37 feet, so the length is ...

6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.

8 0

3 years ago

Please understand the explanation

aivan3 [116]

<em> $answer = 12.56 \: square \: km\\ radius = 4km \\ area \: of \: quarter \: circle = \frac{\pi {r}^{2} }{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3.14 \times {4}^{2} }{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3.14 \times 16}{4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 12.56 \: square \: km \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment$ </em>