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lora16 [44]
2 years ago
13

jose is working two summer jobs making $10 per hour washing cars and $9 per hour walking dogs. Last week Jose worked a total of

13 hours and earned a total of $122. Write a system of equations that could be used to determine the number of hours jose worked washing cars last week and the number of hours he worked walking dogs last week. define the variables that you use to write the system
Mathematics
1 answer:
Serhud [2]2 years ago
8 0

Answer:

164

Step-by-step explanation:

add everything together 10+9+13+122 = 164.

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Un club de natacion tieun club de natacion tiene 24 miembros de los cuales 5 don hombres y los demas don mujeres . ¿Cual es la r
mart [117]

Answer:

The ratio of number of woman to the total number is 19 : 24.

Step-by-step explanation:

Total number of members in the club = 24

Number of men = 5

Number of women = 24 - 5 = 19

The ratio of number of women to the total number of members is

= \frac{19}{24}

7 0
2 years ago
NEED HELP IN MATH , SERIOUS ANSWERS PLEASE
Damm [24]
The answer would be they are congruent. 

It's because there was no vertical/horizontal stretch and compression listed in the problem's transformations. The figure was translated throughout the graph. 

4 0
2 years ago
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Use a table to show the sample space of two-digit numbers using the digits 1,4,5,9. Use the column label as the tens digit and t
Lesechka [4]

Answer:

19

Step-by-step explanation:

7 0
2 years ago
A 140 kg camera is suspended by two wires over a 40 metre wide football field to get shots of the action from above. At one poin
Katen [24]

Answer:

Please red the answer below

Step-by-step explanation:

In order to determine the length of each cable you use the Newton second law for each component of the forces involved in the situation.

For the x component you have:

T_1cos\theta_1-T_2cos\theta_2=0           (1)

T1: tension of the first cable = 1500N

T2: tension of the second cable = 800N

θ1: angle between the horizontal and the first cable

θ2: angle between the horizontal and the first cable

For the y component you have:

T_1sin\theta_1+T_2sin\theta_2-W=0               (2)

W: weight of the camera = Mg = (140kg)(9.8m/s^2) = 1372N

You can squared both equations (1) and (2) and the sum the two equations:

T_1^2cos^2\theta_1=T_2^2cos^2\theta_2\\\\T_1^2sin^2\theta_1=T_2^2sin^2\theta_2-2WT_2sin\theta_2+W^2

Then, you sum the equations:

T_1^2(cos^2\theta_1+sin^2\theta_1)=T_2^2(sin^2\theta_2+cos^2\theta_2)-2Wsin\theta_2+W^2        (3)

Next, you use the following identity:

sin^2\theta+cos^2\theta=1

and you obtain in the equation (3):

T_1^2=T_2^2-2WT_2sin\theta_2+W^2\\\\sin\theta_2=\frac{T_2^2-T_1^2+W^2}{2WT_2}=\frac{(800N)^2-(1500)^2+(1372N)^2}{2(800N)(1372N)}=0.066\\\\\theta_2=sin^{-1}0.066=27.23\°

With this values you can calculate the value of the another angle, by using the equation (1):

\theta_1=cos^{-1}(\frac{T_2cos(27.23\°)}{T_1})=cos^{-1}(\frac{(800N)(cos27.23\°)}{1500N})\\\\\theta_1=61.69\°

Now, you can calculate the length of each cable by using the information about the width of the football field. You use the following trigonometric relation:

l_1cos\theta_1=40-d\\\\l_2cos\theta_2=d\\\\

d: distance to the right side of the field

By using the cosine law you can fins a system of equation and then you can calculate the values of l1 and l2.

3 0
2 years ago
Rewrite this radicand as two factors, one of which is a perfect square. √60
Sphinxa [80]

Answer:

√4 * √15.

Step-by-step explanation:

√60

=√(4 * 15)

= √4 * √15

5 0
3 years ago
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