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natka813 [3]
2 years ago
6

Andrew buys books and videos in a store. He uses the expression 4b + 8v to find the cost of what he is buying, where b is the nu

mber of books and v is the number of videos he buys. Use the expression to find the total cost of 3 books and 7 videos. Total cost =
Mathematics
1 answer:
7nadin3 [17]2 years ago
7 0

Answer:

68

Step-by-step explanation:

1) Plug In (when you plug in you replace the defined variable with the number given. usually you have to find the numbers to plug in but since they're already given to you you just plug them in.) 4(3) + 8(7)=T   T= total cost

2) Multiply 4*3=12 8*7=56

3) Add 12+56=68

4) <u>T=68</u>

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photoshop1234 [79]

Answer:

<u><em>It has gone -160 miles.</em></u>

Step-by-step explanation:

To find the answer we will <em>multiply -40 by 4 hours</em>, and we get<em> -160 miles</em>.  Therefore, the car has <em>traveled -160 miles</em>.

7 0
2 years ago
Solve the system using any method. Show your work.<br> { 3 x + y = 4<br> − 3 x − y = − 8
prisoha [69]

Answer:

No solution

Step-by-step explanation:

3 x + y = 4 (1)

− 3 x − y = − 8 (2)

Add (1) and (2)

0 + 0 = -4

0 = -4 is a false statement

So, no solution

5 0
3 years ago
Please help with the questions in the image
allochka39001 [22]

Answer:

fghjk

Step-by-step explanation:

6 0
3 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
Sarah hopes to be 5 feet tall by her next birthday. Right now, she is 148 centimeters tall. About how many more centimeters does
Alla [95]

Answer:

4.4 cm

Step-by-step explanation:

To solve this problem, we have to remind the conversion factor between feet and cm. We know that:

1 foot = 12 inches

1 inches = 2.54 cm

So,

1 ft = 12 \cdot 2.54 =30.48 cm

In this problem, Sarah's height right now is

h = 148 cm

She wants to be 5 feet tall by her next birthday: it means that her height should be

h'=5 ft \cdot 30.48 =152.4 cm

Therefore, she needs to grow by:

h'-h=152.4-148=4.4 cm

So, she needs to grow 4.4 cm more in order to be 5 feet tall.

3 0
3 years ago
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