How many liters are in 1 dekaliter? Use the metric table to help answer the question.

Mathematics

1 answer:

WINSTONCH [101]3 years ago

8 0

Answer: 1 decaliter=10 liter

Step-by-step explanation:

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Let C be between D and E . Use the segment Addition Postulate to solve for x.

lys-0071 [83]

Answer:

$x = 18$

Step-by-step explanation:

Given

$DC=14$

$CE=x$

$DE=32$

Required

Find x

Because C is between D and E;

$DE = DC + CE$

Substitute values for each;

$32 = 14 + x$

Collect Like Terms

$x = 32 - 14$

$x = 18$

8 0

3 years ago

What multiplies to 14 but adds to negative 4?

Doss [256]

Xy 14
x + y = -4

x + y = -4
x - x + y = -x - 4
y = -x - 4

xy = 14
x(-x - 4) = 14
  x(-x) - x(4) = 14
-x² - 4x = 14
-x² - 4x - 14 = 0
-1(x²) - 1(4x) - 1(14) = 0
-1(x² + 4x + 14) = 0
-1 -1
x² + 4x + 14 = 0
x = -(4) ± √((4)² - 4(1)(14))
2(1)
x = -4 ± √(16 - 56)
  2
x = -4 ± √(-40)
  2
x = -4 ± 2i√(10)
2
x = -2 ± i√(10)

  x + y = -4
-2 ± i√(10) + y = -4
- (-2 ± i√(10)) - (-2 ± i√(10))
y = -2 ± i√(10)
(x, y) = (-2 ± √(10), -2 ± √(10))

The two numbers that multiply to 14 and add up to -4 are -2 ± i√(10).

8 0

3 years ago

A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22. if the manufacturer sells 360,920 vacuum clean

olasank [31]

The cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

<h3>What is percentage ?</h3>

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22.

The manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties. Thus, the number of vecuum cleaner replaced by manufacturer is,

$n=\dfrac{15}{100}\times360,920\\n=54138$