0.0032 in standard form

Answers

Answer 1

Answer: 0.0032 = 3.2 x 10^-3
The power is a minus as the decimal point had to move right.
Hope that helps you!

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Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 160 pounds of blended coffee beans selling for $4.97 per pound. She plans to do this by blending together a high quality bean costing $6.00 per pound and a cheaper bean at $3.25 per pound. To the nearest pound, find how much high quality coffee bean and how much cheaper coffee bean she should blend.

Answers

Given:
let h be the high quality bean
let c be the cheaper bean

h + c = 160
6h + 3.25c = 160*4.97
6h + 3.25c = 795.20

h = 160 - c
6(160 - c) + 3.25c = 795.20
960 - 6c + 3.25c = 795.20
-2.75c = 795.20 - 960
-2.75c = -164.80
c = -164.80 / -2.75
c = 59.92 or 60 lbs

h = 160 - c
h = 160 - 60
h = 100 lbs

Sarah should blend 60 lbs of cheap coffee bean and 100 lbs of high quality coffee bean.

Write 0.87 as a fraction in simplest form.

Answers

Write the decimal number as a fraction
(over 1)
0.87 = 0.87 / 1

Multiplying by 1 to eliminate 2 decimal places
we multiply top and bottom by 2 10's

Numerator (N)
N = 0.87 × 10 × 10 = 87
Denominator (D)
D = 1 × 10 × 10 = 100

N / D = 87 / 100

Simplifying our fraction

= 87/100

= 87/100

Find the prime factorization of 63.

Answers

3x3x7=63 prime factorization

A tree that is 3 feet tall is growing at a rate of 1 ft per year. A 5 ft tree is growing at a rate of 0.75 ft per year.The ordered pair (t, h)(t, h) represents the time, t, at height, h.

Which ordered pair represents the year when the trees will be the same height?

Answers

The given can be represented by equations
A tree that is 3 feet tall is growing at a rate of 1 ft per year
h = t + 3
A 5 ft tree is growing at a rate of 0.75 ft per year
h = 0.75t + 5
Equating the two equations
t + 3 = 0.75t + 5
t = 8 yrs
h = 8 + 3
h = 11 ft
(8,11)

it will be at (8,11).

A bag of dog food contains 42 cups of dog food. Your dog eats 2 1/3 cups of dog food each day. How many days does the bag of dog food last?

Answers

Answer: you keep adding 2 and 1/3 to get your answer. 18 day so the dog food should last up to 18days hope this helps

Dont take my word not 100% sure

Need help with this.

Answers

You have x^2 - 16 = 1 + 2x + x^2 ;
-17 = 2x ;
x = - 17 / 2 = - 8.5 ;

$\sqrt{ ( - 8.5)^(2) - 16 }$ = 1 + ( - 8.5 ) ;
2.12 = -7.5 False !
There is no solution !

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What value or values of x satisfy 2|x + 5.3| = 4.2? x can only equal –3.2. x can only equal 7.4. x can equal –3.2 or –7.4. x can equal –3.2 or 7.4.