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notsponge [240]
3 years ago
11

Lauren Rodriguez earns $8.35 per hour as a swimming instructor. How many hours per week must she work if she wants to earn appro

ximately $190.00 per week?
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0

Answer:

22.75 hours per week

Step-by-step explanation:

We can see from the question that the target amount of money is $190.00 per week.

If Lauren Rodriguez earns $8.35 in one hour

then $190.00 will be earned in x hours

8.35x = 190.00

x = 190.00/8.35

x = 22.75 hours per week

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For what value of x does 3^4x=27^x-3? a. –9 b. –3 c. 3 d. 9
Irina18 [472]

\bf 3^{4x}=27^{x-3}\implies 3^{4x}=(3^3)^{x-3}\stackrel{~\hfill \textit{same base, the exponents must also be the same}}{\implies 3^{4x}=3^{3(x-3)}\implies 3^{4x}=3^{3x-9}\qquad } \\\\\\ 4x=3x-9\implies x=-9

5 0
4 years ago
3x - 3y = -3<br>2x - y = -5​
Korolek [52]

For this case we must solve the following system of equations:

3x-3y = -3\\2x-y = -5

To solve we follow the steps below:

We multiply the second equation by -3:

-6x + 3y = 15

Thus, we have the equivalent system:

3x-3y = -3\\-6x + 3y = 15

We add the equations:

3x-6x-3y + 3y = -3 + 15\\-3x = -3 + 15\\-3x = 12\\x = \frac {12} {- 3}\\x = -4

We look for the value of the variable "y":

2 (-4) -y = -5\\-8-y = -5\\-y = -5 + 8\\-y = 3\\y = -3

Thus, the solution of the system is given by:

(x, y): (- 4, -3)

Answer:

(x, y): (- 4, -3)

4 0
3 years ago
A circle has a circumference of 266.9 inches. What is the Diameter of this circle? What is the Radius? Use 3.14 as the approxima
Natali5045456 [20]

Answer:

r= 42.48 and d=84.96

Step-by-step explanation:

too slow to type solution, gogogo answer your thing dude!

4 0
3 years ago
Points R, S, and T are collinear, and S is between R and T, in addition, RS = 2x-4, ST = 3x+2, and RT = 13. Find the value of RS
Alex17521 [72]

Answer:

RS = 2

Step-by-step explanation:

Points R, S, and T are collinear, and S is between R and T, in addition, RS = 2x-4, ST = 3x+2, and RT = 13. Find the value of RS

Hence:

RS + ST = RT

2x - 4 + 3x + 2 = 13

2x + 3x - 4 + 2 = 13

5x - 2 = 13

5x = 13 + 2

5x = 15

x = 15/5

x = 3

To find the value of RS

RS = 2x-4

RS = 2 × 3 - 4

RS = 6 - 4

RS = 2

5 0
3 years ago
A data set of with whole numbers has a low of 20 and a high value of 89
Vikentia [17]

Answer:

The range is 69

Step-by-step explanation:

We have that the least value of the data set is 20 and the highest value is 89.

From the available information, we can only find the range of the data set.

The range is the highest value minus the least value.

This implies that, the range is 89-20=69

7 0
3 years ago
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