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RUDIKE [14]
3 years ago
13

Convert these decimals into fractions 0.49 and 4.542

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
3 0

Answer:

0.49 = \frac{49}{100}

4.542 = 4 \frac{542}{1,000}

Step-by-step explanation:

0.49 is equivalent to 49/100 because 0.49 represents the hundredth place.

4.542 is equivalent to 4 542/1,000 because .542 is representing the thousandths place, and the 4 is a whole number.

Hope this helps!

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According to Okun's law, if the unemployment rate goes from 7% to 4%, what will be the effect on the GDP?
Paul [167]
If the law is basically if unemployment goes up 1% then the GDP goes down 2%, then the unemployment rate going down 3% means the GDP will go up 6%
3 0
3 years ago
Read 2 more answers
Find the area of the trapezoid below in square centimeters (cm). The area of the trapezoid is
BARSIC [14]

Answer:

122.5

Step-by-step explanation:

Use the area formula for a trapezoid (attached below as an image):

A = area in sq cm

a = top base

b = bottom base

h = height

Correspond the correct values with the variables:

a = 14

b = 21

h = 7

A = 1/2 * (14 + 21) * 7

A = 1/2*(35)*7

A = 17.5 * 7

A = 122.5 sq cm

Hope this helps (●'◡'●)

6 0
3 years ago
Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of s
Sauron [17]

The value of x, y and z from the system of equation are -1, -8 and 5 respectively.

Data;

  • -2x + 6y + 3z = -31
  • -3y + 7z = 59
  • 2z = 10

<h3>System of Equation</h3>

To solve this problem, we have to solve the system of equation using substitution method.

From equation (iii)

2z = 10\\z = 5

let us substitute the value of z into equation (ii)

-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8

Let's substitute the value of x and y into equation (i)

-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1

From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.

Learn more on system of equations here;

brainly.com/question/14323743

6 0
2 years ago
10. If ABCD is a kite, DB=48 in. and CE=7 in. find DC. *
Dmitry_Shevchenko [17]

Answer:

25 in.

Step-by-step explanation:

DEC is a right triangle. <DEC is a right angle.

(DE)² + (EC)² = (DC)²

DE = ½DB = ½(48 in.) = 24 in.

(24 in.)² + (7 in.)² = (DC)²

576 in.² + 49 in.² = (DC)²

(DC)² = 625 in.²

DC = 25 in.

3 0
3 years ago
Can someone please help me
Ilya [14]
I believe it is -81k^2

-27k^3-81k^2-81k-27
6 0
3 years ago
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