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9966 [12]
3 years ago
11

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 55 p

ounds. The truck is transporting 60 large boxes and 50 small boxes. If the truck is carrying a total of 3150 pounds in boxes, how much does each type of box weigh?

Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

Large boxes = 40 lbs.

Small boxes = 15 lbs.

Step-by-step explanation:

L = Large Box

S = Small Box

I started by making the equations, L + S = 55 and 60L + 50S = 3150. I made the first equation L = 55 - S and substituted that in for L in 60L + 50S =3150. After finding S, I plugged that back into L + S = 55 and got the answers.  

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Two unidentified flying discs are detected by a receiver. The angle of elevation from the receiver to each disc is 39.48 degree.
lys-0071 [83]

Answer:

The answer is "298.83 m"

Step-by-step explanation:

Its gap from its transmitter from each disc comprises of 2 triangles. Its horizontal segment via disc to vertical, and longitudinal segment. Disk height, h, is parallel to a horizontal disc Wink including its line across recipient to disc or horizontal 39. 48^{\circ}

\to 39. 48^{\circ}  = \frac{h_1}{826 \ m}\\\\   \to 826\ m (\ sin 39. 48^{\circ} ) = h_1\\\\ \to 525.18 = h_1\\\\

if:

\to \sin 39. 48^{\circ} = \frac{h_2}{1.296 \ km}\\\\ \to  \sin 39. 48^{\circ} (1296 \ m) = h_2\\\\  \to  824.01 = h_2\\\\\to                        h_2  - h_1 = 824.01 - 525.18\\\\

                  = 298.83 \ m

4 0
3 years ago
What is the general equation of a cosine function with an amplitude of 3, a period of 4 pi, and a horizontal shift of negative p
liberstina [14]

The cosine function with the given characteristics is:

f(x) = 3*cos(x/2 - pi).

<h3>How to get the cosine function?</h3>

The general cosine function is:

f(x) = A*cos(kx + p)

Where A is the amplitude and p is the phase, then we know that:

A = 3

p = -pi

Then we have:

f(x) = 3*cos(kx - pi)

And the period is equal to 4pi, then we must have that:

k*(x + 4pi) - pi = k*x - pi + 2pi

k = 1/2

Then the function is:

f(x) = 3*cos(x/2 - pi).

If you want to learn more about cosine functions:

brainly.com/question/4372174

#SPJ4

3 0
2 years ago
5. Juliette works at a department store and earns $11.20 per hour. Last week she worked 32 hours.
tatuchka [14]
$358.40
Gross pay is the amount of money you earn before taxes. So you just have to multiply $11.20 by 32 to get your answer
8 0
3 years ago
Read 2 more answers
How many feet are in 1 mile?
timurjin [86]

Answer:

5280, so not quite any of those, but the closest one is D

8 0
3 years ago
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What equation is the equation of the line that passes through (-10,8) and (5,5)
Fofino [41]
The equation of the line is given by

y = mx + c

where m is the gradient of the line
c is where the line cuts the y-axis
x & y represent coordinates on the line.

The gradient m can be obtained as follows:

m = (5 - 8) / (5 - - 10) = (-3) / (15) = - 1/5

To obtain c, we use any known coordinate on the line and substitute it as well as the gradient in the general equation for the line.

Taking coordinates (5,5)

5 = (- 1/5)(5) + c

5 = - 1 + c

c = 6

Hence, the equation for this line is

y = -x/5 + 6
6 0
3 years ago
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