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Nuetrik [128]
3 years ago
9

One wee, Ethan earned $391.00 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would h

e have to work the next week to earn $102.00
Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0

Answer:

6

Step-by-step explanation:

391/23=17 per hour

102/17=6 Hours

So he would have to work 6 hours to earn $102.00.

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-3n + 1 = -20<br> Help me please
Sav [38]
N=-7

n x 3 = -21+1=-20
3 0
3 years ago
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Find the sum of 5a and -9a
kari74 [83]

Answer:

-4a

Step-by-step explanation:

5a + -9a = -4a

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7 0
3 years ago
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Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x +
rjkz [21]

Answer:

The value of x_2=-1.6923.

Step-by-step explanation:

Consider the provided information.

The provided formula is f(x)=x^3+x+6

Substitute x_1=-2 in above equation.

f(x_1)=(-2)^3+(-2)+6

f(x_1)=-8-2+6

f(x_1)=-4

Differentiate the provided function and calculate the value of f'(x_1)

f'(x)=3x^2+1

f'(x)=3(-2)^2+1

f'(x)=13

The Newton iteration formula: x_2=x_1-\frac{f(x_1)}{f'(x_1)}

Substitute the respective values in the above formula.

x_2=-2-\frac{(-4)}{13}

x_2=-2+0.3077

x_2=-1.6923

Hence, the value of x_2=-1.6923.

6 0
3 years ago
The shortest side of an isosceles triangle is labeled, in inches, in the triangle below. The two longer sides are 6 inches longe
ololo11 [35]

Complete question is;

The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. the perimeter of the triangle is 33 inches. what is the length of each side of the longer sides of the triangle.

Answer:

Shortest side = 7 inches

Side 2 = 13 inches

Side 3 = 13 inches

Step-by-step explanation:

We are told that;

Triangle is isosceles

The shortest side is 2x - 3 inches

The other 2 sides which are equal because it's an isosceles triangle are both 6 inches longer than the shortest side. Thus;

Side 2 = side 3 = 2x - 3 + 6 = 2x + 3

Since perimeter = 33 and sum of all 3 sides is the perimeter. Thus;

(2x - 3) + 2x + 3 + 2x + 3 = 33

6x + 3 = 33

6x = 33 - 3

6x = 30

x = 30/6

x = 5

Thus;

Shortest side = 2(5) - 3 = 7

Other 2 sides are each; 2(5) + 3 = 13

5 0
3 years ago
2 3/4 divided by 3. What is the quotient and what is it in lowest terms?
Dmitry_Shevchenko [17]

Answer:

  11/12

Step-by-step explanation:

2 3/4 = 2·(4/4) + 3/4 = (8/4) +(3/4) = (8+3)/4 = 11/4

Then your problem becomes ...

  (11/4) / 3 = (11/4) · (1/3) = (11·1)/(4·3) = 11/12

___

The numerator and denominator have no common factors, so this is lowest terms.

5 0
3 years ago
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