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Tju [1.3M]
3 years ago
14

Find distance between -5 and 17

Mathematics
1 answer:
lana [24]3 years ago
4 0

The distance between the two is 22 units.

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Jobie starts with $325 in her piggy bank. Each month she adds $10.
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3 years ago
Miss Martinez purchase two kinds of candy for a math game. Diplo pops cost $.50 each and the sneakers cost $.60 each. She purcha
torisob [31]

Answer:

The number of  Diplo pops  D = 18

The number of sneakers   S = 12

Step-by-step expla nation:

Given:

Cost of one Diplo pops = $.50

Cost of one sneakers  = $.60

Total number of candies purchased = 30 pieces

cost of the number of candies purchased = $16.80

To Find:

Number of each type of candies = ?

Solution:

Let

The number of  Diplo pops be D

The number of sneakers be  S

Total number of candies = 30

S+D = 30

S= 30 - D--------------------------------------(1)

and cost of 30 candies is $16.80

S(0.50) + D(0.60) = 16.80----------------(2)

Substituting (1) in (2)

(30 - D)(0.50) + D(0.60) = 16.80

15 - 0.50D +0.60D = 16.80

15 + 0.10D =  16.80

0.10D = 16.80 - 15

0.10D = 1.80

D = \frac{1.80}{0.10}

D = 18

So the number of  Diplo pops = 18

Number of sneakers S= 30 - 18 = 12

7 0
3 years ago
If sin²∅ + sin∅ = 1 , then what is the value of sin²∅ + sin⁴∅.​
Yakvenalex [24]

Answer:

Step-by-step explanation:

Given  sin²∅ + sin∅ = 1, we are to find the value of  sin²∅ + sin⁴∅. ... 2

From  sin²∅ + sin∅. = 1;  sin²∅ = 1 - sin∅. ... 3

Substitute equation 3 into 1

sin²∅ + sin⁴∅

=  sin²∅ + (sin²∅)²

=  (1 - sin∅)+( 1 - sin∅)²

open the parenthesis

= 1 - sin∅+ (1-2sin∅+ sin²∅)

= 1 - sin∅+ 1-2sin∅+ sin²∅

= 1+1-sin∅-2sin∅+sin²∅

= 2 - 3sin∅+sin²∅

Since sin²∅ = 1 - sin∅, the resulting equation becomes;

= 2 - 3sin∅+(1 - sin∅)

= 2 - 3sin∅+1-sin∅

= 3-4sin∅

7 0
3 years ago
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