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adoni [48]
3 years ago
15

A total of 397 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer stu

dent tickets sold than adult tickets. How many adult tickets were sold?
Mathematics
1 answer:
Arturiano [62]3 years ago
4 0
We know:
397 total
53 fewer student tickets than adult tickets

Variables: A for adult tickets, S for student tickets

Known Equations:
a + s = 397
a = s + 53

Solving:
2s + 53 = 397 so 2s = 344 so s = 172

s + a = 397
172 + (172 + 53) = 397 so 172 + 225 = 397

Adult tickets sold: 225
Student tickets sold: 172


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A ladder is placed 3.5 feet away from the base of a tree. If the ladder forms a 53° angle with the ground, how many feet up the
Orlov [11]

Answer:

The ladder will reach 4.6 ft up the tree.

Step-by-step explanation:

When we draw out our triangle, we should see that we are given the horizontal leg and are trying to find the vertical leg. We use tan∅ to help solve:

tan53° = x/3.5

3.5tan53° = x

x = 4.64466

4 0
3 years ago
Anthony spent half his allowance at the show store then he mowed his neighbors lawn and got 10$ if he now has 22$ write an equat
marta [7]

Answer:

$24

Step-by-step explanation:

(22-10)=12

12×2=24

5 0
4 years ago
The All-Clean Laundry Company washes towels for a nearby hotel. The function f(x) gives the number of loads required whenthere a
NISA [10]

Answer:

B.It takes more than 12 loads to wash 9 bins of towels.

Step-by-step explanation:

The function f(x) gives the number of loads required when there are x bins of towels to be washed.

f(x)=Number of loads

x=Bins of towels

Therefore in the inequality f(9)>12

  • Number of loads=12
  • Bins of towel =9

If f(9)>12, it means Number of loads is more than 12.

f(9)>12 therefore tells us that it takes more than 12 loads to wash 9 bins of towels.

The correct option is B

3 0
3 years ago
The table above shows some values of the functions f
Margarita [4]

Answer:

a

Step-by-step explanation:

g(1)=5

f(g(1))=f(5)

f(5)=2

5 0
3 years ago
what is the quotient (65y3 15y2 − 25y) ÷ 5y? a. 13y2 3y − 5 b. 13y3 3y2 − 5y c. 13y2 − 3y 5 d.13y2 − 3y − 5
Aneli [31]

Keywords:

<em>Division, quotient, polynomial, monomial </em>

For this case we must solve a division between a polynomial and a monomial and indicate which is the quotient.

By definition, if we have a division of the form: \frac {a} {b} = c, the quotient is given by "c".

We have the following polynomial:

65y ^ 3 + 15y ^ 2 - 25y that must be divided between monomy5y, then:

C (y) represents the quotient of the division:

C (y) = \frac {65y ^ 3 + 15y ^ 2 - 25y} {5y}

C (y) = \frac {65y ^ 3} {5y} + \frac {15y ^ 2} {5y} - \frac {25y} {5y}

C (y) = 13y ^ 2 + 3y-5

Thus, the quotient of the division between the polynomial and the monomial is given by:

C (y) = 13y ^ 2 + 3y-5

Answer:

The quotient is: C (y) = 13y ^ 2 + 3y-5

Option: A


4 0
3 years ago
Read 2 more answers
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