2 years ago

1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number

Mathematics

1 answer:

Tasya [4]2 years ago

6 0

Answer:

(10^11)/3

10^6 x 10^5 = 10^11

8/5 x 5/24 = 1/3

so multiply 10^11 and 1/3 together

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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]

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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.

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3 years ago

Solve by completing the square ( need it asap pls) <br><br> x2+18x+81=-4<br><br> -don’t send link-

Sholpan [36]

Answer:

x=2.17

Step-by-step explanation:

$x^2$ +18x+81=-4

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$\sqrt{x^2}$ = $\sqrt{-4.7}$

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3 years ago

On a coordinate plane, 4 lines are shown. Line L M goes through (negative 5, negative 3) and (0, 3). Line N O goes through (nega

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Step-by-step explanation:

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Step-by-step explanation:

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mina [271]

Answer:

The slope of the line through (−9,6) and (−6,−9) is −5

Step-by-step explanation:

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3 years ago

1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number​

1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number