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Nutka1998 [239]
3 years ago
9

5. If three tacos and two drinks cost $13.00, and four tacos and one drink costs $15.25, how much does

Mathematics
1 answer:
Firdavs [7]3 years ago
5 0

Answer:

D. 3.50

Step-by-step explanation:

3t+2d=$13.00

4t+d=$15.25

3t+2d=$13.00

8t+2d=$30.50

E2-E1

5t=$30.50-$13.00

t=3.5

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for each increase in prices by $1, the predicted demand decreases by 0.227 units.

Step-by-step explanation:

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Can you simplify 61/35
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No. 61 is an odd number not divisible
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3 years ago
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I need help with this ASAP and can you explain so i can understand?!
Elanso [62]

Answer:

Adult tickets sold =  225

Student Tickets sold =  375

Step-by-step explanation:

Let:

Adult tickets sold = x

Student Tickets sold = y

Total tickets sold = 600

So, we can write: x+y = 600

Total money collected = 3037.50

Cost of 1 Adult ticket = $6.00

Cost of one Student ticket = $4.50

So, we can write: 6x+4.5y=3037.50

Now, we get a system of equations, that if solved we can find values of x and y

Let:

x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)

We can solve using substitution method.

Finding value of x from eq(1) and putting it in eq(2)

We\:have\\x+y=600\\x=600-y

Put in eq(2)

6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375

So, we get value of y = 375

Now put value of y in eq(1) to find value of x

x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225

So, we get value of x = 225

The Tickets sold will be:

Adult tickets sold = x = 225

Student Tickets sold = y = 375

3 0
2 years ago
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Please help! Explain as well since I need to know material for the test
Illusion [34]

3a)

<h3>Answer: The sum of a+b+c+d is equal to 220</h3>

-------------

How I got this answer:

a+b+e = 180

c+d+f = 180

angles 'e' and 'f' are marked in the attached drawing below (see figure 1)

Add the two equations to get

(a+b+e)+(c+d+f) = 180+180

a+b+e+c+d+f = 180+180

a+b+e+c+d+f = 360

(a+b+c+d)+(e+f) = 360

(a+b+c+d)+(140) = 360 substutition (see below)

a+b+c+d = 360-140

a+b+c+d = 220

==========================================

3b)

The angles of the triangles add to 180 degrees each. The three angles e, f, and 40 add to 180 as well as they form a straight angle, so e+f+40 = 180 leading to e+f = 180-40 = 140. This will help us with the substitution rule I marked above

So the idea is you add up all the angles, and then take away the angles we don't want (e and f) so we end up with the sum of a+b+c+d

==========================================

4

<h3>Answer: 290</h3>

---------------------

Explanation:

Check out the attached image figure 2.

Angle DAE is given to be 30 degrees. Angle ADC is also equal to 30 because they are alternate interior angles.

Angle DCB is 40 degrees. The missing angle x of the triangle DCB is unknown for now, but we can solve for x

x+40+30 = 180

x+70 = 180

x = 180-70

x = 110

Therefore the purple angle marked in that diagram is 180-x = 180-110 = 70

The reflex angle to the 70 degree angle is 360-70 = 290

which is the shaded angle we want to determine

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The answer to the question is 1/27
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