A total of 234 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

Answers

Answer 1

Answer: 234 = a + s s = students a = adults
2a = s
after you get the equations you solve. plug 2a into the above equation.
so u get
234 = a + 2a
234=3a then divide 3 from each side
78 = a
so 78 adult tickets were sold

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Help I don't understand this math problemsee attachment

please asap

thanks

Answers

Answer:

The value of the expression is 5/6.

Can someone help me please?1. Refer to the triangle below. If a = 3 and b = 3,
A. Find the exact length of c in unsimplified radical form
B. Find the exact length of c in simplified radical form
C. Find c to the nearest hundredth
**I put the pic down below**

2. Consider the numbers 4/13 and 3/10 .
A. Compare the numbers.
B. Find a rational number between the two given numbers.

3. Use the Babylonian method to approximate √19 to the nearest hundredth.

Answers

For 1) Use the pythagorean theorem and the formula for it is a^2+b^2=c2
so that will be 3^2+3^2=c^2
9+9=c^2
18=c2
then
$√(18) which is √(9(2)) √(9) √(2) the finally 3 √(2) ---- is the unsimplified formsimplified form is$ ≈4.2426
and the nearest hundredth 4.24

The correct answers are:

#1: A) c = √18

B) c = 3√2

C) c = 4.24

#2: A) 4/13 > 3/10

B) 79/260

#3: 4.36

Explanation:

#1: A) We use the Pythagorean Theorem to solve this:

a² + b² = c²

3² + 3² = c²

9 + 9 = c²

18 = c²

Taking the square root of each side:

√18 = √c²

√18 = c

B) To simplify √18, we first find the prime factorization of 18:

18 = 9*2

9 = 3*3

This gives us

18 = 3*3*2

When we take the square root, we are looking for pairs. We have a pair of 3's; this means we take a 3 out:

3√2

C) In the calculator, we see that 3√2 = 4.24.

#2: A) First, we find a common denominator. The first thing that both 13 and 10 will divide into is 130:

(4*10)/130; (3*13)/130

40/130; 39/130

Since 40 > 39, this means that 4/13 > 3/10.

B) There is not enough space between the two fractions to use 130 as the denominator; we will double that to 260:

(40*2)/260; (39*2)/260

80/260; 78/260

The fraction between these two would be 79/260.

#3: Using the Babylonian method, we first make a guess. Since 9 is nearly half of 19, we will start there.

Next, we divide 19 by our guess:

19/9 = 2.111

We average this quotient with our guess:

(9 + 2.111)/2 = 11.111/2 = 5.5555

This is our new guess. Now divide 19 by this guess:

19/5.5555 = 3.4200342

Average this with our guess:

(5.5555+3.4200342)/2 = 4.4877671

This is our new guess. Divide 19 by this guess:

19/4.4877671 = 4.233731291

Average this with our new guess:

(4.4877671+4.233731291)/2 = 4.360749196

This is our new guess. Divide 19 by this guess:

19/4.360749196 = 4.357049476

Average this with our new guess:

(4.360749196+4.357049476)/2 = 4.358899

Make this our new guess. Divide 19 by this guess:

19/4.358899 = 4.3588988

Average this with our guess:

(4.358899+4.3588988)/2 = 4.3588989

Since the hundredths place has been the same the last few lines, we round to that: 4.36.

Eric has saved $18,300 toward a down payment on a house. He makes a salary of $59,750 a year. What is the maximum he could afford to borrow to buy a house?a) $90,500
b) $101,200
c) $119,500
d) $137,800