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Vikki [24]
3 years ago
5

Beth bought 20 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $4.00. She spent a total of $1

40. Which system of equations will determine the number of adult tickets, a, and the number of senior citizen tickets, s, Beth purchased?
a + s = 20

8a + 4s = 140


a + s = 140

8a + 4s = 20



a + s = 20

a + s = 140



a + s = 20

4a + 8s = 140
Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0

Did you find the answer? I could use the help with it too.

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Please please help I don't know how to do this and I have an hour left and 33 more questions :(
Vitek1552 [10]

Answer:

D. Change the exponent from 3 to 1

Step-by-step explanation:

Linear equations <u>D</u><u>o</u><u> </u><u>N</u><u>o</u><u>t</u><u> </u>have any exponents in them :)

7 0
3 years ago
Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm. ​
Kobotan [32]

Answer:

Base = 24 cm or 10cm

Step-by-step explanation:

REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²

Using the formulas

A=\frac{bh_b}{2}

h_b=\sqrt{a^2-\frac{b^2}{4} }

There are 2 solutions for b

b=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } } ≈ 10cmb=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm

Less complex:

Area of a triangle = 1/2 * b * h = 60

=> h = 120/b

In right triangle ABD

13² = h² + b² /4 ( by Pythagoras law)

=>169 = 120²/b² + b²/4

=>676 b² = 57600 + b^4

=> b^4 - 676 b² + 57600 = 0

=> b² = 676 +- √(676² - 4*57600) / 2

=> b²= 676 +- √(226576) /2

=> b² = (676 +- 476 )/2

=> b² = 1152/2 , 200 /2

=> b² = 576 , 100

=> b = 24, 10

So, Base = 24 cm or 10cm

4 0
2 years ago
In need help with the answer
gayaneshka [121]

Answer:

2

Step-by-step explanation:

there is 2:   3<u>  1  </u>

                      4

3 0
3 years ago
Express the following numbers as a ratio between an integer and a natural number.
Julli [10]

Answer:

Step-by-step explanation:

a) 7/5, 3/10, -13/4,-27/1,0

b)36/1,-45/1,21/5, -4/5, 91/6,-2/9

5 0
3 years ago
What is the following product ?
AfilCa [17]

Answer:

The correct answer is option B). 7x² -12x√14 + 72

Step-by-step explanation:

I<u>dentity</u>

(a - b)² = a² - 2ab + b²

Find the product

It is given that ( x√7 - 3√8)(x√7 - 3√8)

(x√7 - 3√8)(x√7 - 3√8) =  (x√7 - 3√8)²

(x√7 - 3√8)² =  (x√7)² - 2*x√7*3√8 +(3√8)²

 = 7x² - 6x√56 + 72

 = 7x² - 6x*2√14 + 72

 = 7x² - 12x√14 + 72

Therefore the correct answer is option B).  7x² - 12x√14 + 72

8 0
3 years ago
Read 2 more answers
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