How do you write 21/40 as a decimal

Help me pls besties ASAP thank you:)

Novosadov [1.4K]

Answer:

hey bestie its B

Step-by-step explanation:

3 0

3 years ago

D) Last week Lori earned a gross pay of $435 for working 52 hours. She is paid time-and-a-half

rusak2 [61]

Answer:

She makes 7.50 per hour

Step-by-step explanation:

Let x = regular rate

Time and a half = 1.5x

40 hours at x

52-40 = 12

12 hours at 1.5x

40x + 12 * 1.5x = 435

40x + 18x =435

58x = 435

Divide each side by 58

58x/58 = 435/58

x =7.5

She makes 7.50 per hour

8 0

3 years ago

A devastating freeze in California’s Central Valley in January 2007 wiped out approximately 75% of the state’s citrus crop. It t

inna [77]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

The linear equation of the function is: $g(P) =22.9P +7$ , while its inverse is: $g^{-1}(c) = \frac{c - 7}{22.9}$ .
The domain is from 0% to 100%, while the range is from 7 to 29.9

Given that:

$c = g(P)$

Input and Output quantity

The input quantity is the percentage of frozen citrus crop, while the output quantity is the cost of box of oranges

Linear Function

The given parameters can be written as:

$(P_1,c_1) = (20\%, 11.58)$

$(P_2,c_2) = (80\%, 25.32)$

Calculate the slope (m)

$m = \frac{c_2 - c_1}{P_2 - P_1}$

So, we have:

$m = \frac{25.32 - 11.58}{80\% - 20\%}$

$m = \frac{13.74}{60\%}$

$m = 22.9$

The equation is then calculated using:

$c =m(P - p_1) + c_1$

So, we have:

$c =22.9(P - 20\%) + 11.58$

$c =22.9P - 4.58 + 11.58$

$c =22.9P +7$

So, the function is:

$g(P) =22.9P +7$

The domain and the range

The domain is the possible input value (i.e. possible values of P).

Because P is a percentage, its possible values are 0% to 100%.

Hence, the domain of the function is: $[0\%,100\%]$

The range is the possible output value (i.e. possible values of c).

When P = 0% and 100%

$c = 22.9 \times 0\% + 7 = 7$

$c = 22.9 \times 100\% + 7 = 29.9$

Hence, the range of the function is: $[7,29.9]$

The meaning of $g^{-1}(12)$

$g^{-1}(12)$ is an inverse equation, where 12 represents the cost of box of oranges.

So, $g^{-1}(12)$ represents the percentage of frozen citrus crop, when the cost is $12.

The inverse formula

We have:

$c =22.9P +7$

Make P the subject

$22.9P = c - 7$

Divide by 22.9

$P = \frac{c - 7}{22.9}$

So, the inverse function is:

$g^{-1}(c) = \frac{c - 7}{22.9}$

This is used to calculate the percentage of frozen citrus crop, when the cost is known.

$g^{-1}(c) = \frac{c - 7}{22.9}$

Substitute 12 for c

$g^{-1}(12) = \frac{12 - 7}{22.9}$

$g^{-1}(12) = \frac{5}{22.9}$

$g^{-1}(12) = 22\%$

Read more about linear equations at:

brainly.com/question/19770987

4 0

3 years ago

The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Solve for x. Round to

sashaice [31]

(2 + x) x (2x-5) = 56

(2+x)(2x-5)=56

2x² - x - 10 = 56
+10 +10

2x² - x = 66

2x² - x - 66 = 0

x = 6

2(6)² - (6) = 66
2(36) - 6 = 66
72 - 6 = 66
66 = 66

7 0

3 years ago

I'm not sure about 38 - 53 please help! :)

GrogVix [38]

38. 6,800g 39. 19,600g
40. 27,910g 41. 32,840g
42. 610g 43. 970g
44. 3,712g 45. 8,937g
46. 37g 47. 69g
48. 1,510g 49. 4,700g
50. 150g 51. 51g
52. 15,200g 53. 460g

there, put these in:) hope you do well:)

please give brainliest? I did a lot of hard work for this ok?

5 0

3 years ago