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3 years ago

Absolute value to show the distance between -70 and 15

Mathematics

1 answer:

castortr0y [4]3 years ago

7 0

To find the absolute value, change all into positives, and add them

|-70| + 15 = answer

|-70| = 70

70 + 15 = 85

The distance in the number line between -70 and 15 is 85

85 is your answer

hope this helps

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4,2,1,...<br> Find the 9th term.

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Step-by-step explanation:

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3 years ago

Kristen has 6 gallons of water. Josh has 22 quarts of water. How many more pints of water does Kristen have than Josh?

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3 years ago

Find an equation of the plane through the point (−5,−1,2) with normal vector ????=⟨−1,−5,2⟩.

Ganezh [65]

Answer:

$x + 5y - 2z + 14 = 0$

Step-by-step explanation:

A plane that passes through the point $(x_{0}, y_{0}, z_{0})$ with a normal vector of $(a,b,c)$ has the following equation, initially:

$a(x - x_{0}) + b(y - y_{0}) + c(z - z_{0}) = 0$

After we solve this, we have

$ax + by + cz + d = 0$

In this problem, we have that:

$(x_{0}, y_{0}, z_{0}) = (-5,-1,2)$

$(a,b,c) = (−1,−5,2)$

$a(x - x_{0}) + b(y - y_{0}) + c(z - z_{0}) = 0$

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4 years ago

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PIT_PIT [208]

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3 years ago

A grocer bought sugar worth of 4500. He sold one-third of it at a pain of 10%. At what gain

damaskus [11]

Answer:

13%

Step-by-step explanation:

the cost price of 1/3 of the sugar = 1/3 x 4500 = 1500

gain= $\frac{selling price - cost price}{cost price}$ x 100

let x = unknown selling price

(x - 1500) / 1500 = 0.1

to solve for x, multiply both sides of the equation by 1500

x - 1500 = 150

x = 1650

the selling price of the 1/3 of sugar that yielded a 10% gain is 1650

to determine the gain percent of the remaining sugar, the selling price of the remaining sugar has to be determined . Let the selling price be represented by a

Based o the information in the question and the previous solution, the following equation can be derived

{(a + 1650) - 4500} / 4500 = 0.12

Solve for a

Multiply both sides of the equation by 4500

a + 1650 - 4500 = 540

a = 3390 = selling price of 2/3 of the sugar

Percent gain that the 2/3 of the sugar should be sold can be determined by taking the following steps

first find cost price of the 2/3 of sugar = 2/3 x 4500 = 3000

gain = (3390 - 3000) /3000 = 0.13 = 13%

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3 years ago