<u><em>Answer:</em></u>
15(1+3)
<u><em>Explanation:</em></u>
<u>The distributive property can be generally expressed as follows:</u>
ab + ac = a(b+c)
<u>The given expression is:</u>
15 + 45
<u>We know that:</u>
15 = 1*15
45 = 3*15
<u>Therefore, the given expression can be written as:</u>
1*15 + 3*15
<u>Taking 15 as a common factor and applying the above rule, we will reach the following expression:</u>
15(1+3)
Hope this helps :)
Answer:
That day 51 child tikets were sold
Step-by-step explanation:
To do this problem we have to make 2 equations, one that represents the number of entries and the other that represents the money
x = child tickets
y = adult tickets
x + y = 132
x * $5.20 + y * $9.00 = $994.20
First we have to solve for the x in the first equation
x + y = 132
x = 132 - y
Now we replace the x with (132 - y) in the second equation
x * $5.20 + y * $9.00 = $994.20
(132 - y) * 5.20 + y * 9.00 = 994.20
686.4 - 5.2y + 9y = 994.2
-5.2y + 9y = 994.2 - 686.4
3.8y = 307.8
y = 307.8/3.8
y = 81
We replace y with its value in the first equation
x = 132 - y
x = 132 - 81
x = 51
That day 51 child tikets were sold
Options were not present in the question we are Stating below;
Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. A customer paid $34 for a bike rental. Which of the equations below could be used to find how many hours, x, the customer rented the bike?

Answer:

Step-by-step explanation:
Given:
Amount customer paid = $34
Initial fee = $10
Hourly rate = $4
We need to write the equation used to find how many hours, x, the customer rented the bike.
Solution:
Let the number of hours customer rented the bike be 'x'.
Now we can say that;
Amount customer paid is equal to sum of Initial fee plus Hourly rate multiplied by number of hours customer rented the bike.
framing in equation form we get;

Hence The equation used to find number of hours customer rented the bike is
.
The answer is Rhombus because it is two equilateral triangles that can create a quadrilateral. A quadrilateral has exactly four sides and it is also a polygon. A rhombus has four equal sides and it is any parallelogram with equal sides including a square. A rhombus is like a diamond. In your question, the craft project that has a two equilateral triangle that tapes together and creates an equilateral, I picture it as a diamond and the diamond is including in the family of a rhombus. All side have equal length, opposite side is parallel and the other opposite angles are equal.
Let's say the number of days library book is late is X, and the total fee is Y.
Liability charges $0.30 dollars as a fee for being 1 day late,
For being 1 day late, fee charge is: 1* $0.30
So, for X days the charge would be: X*$0.30.
Total charge for being X days late is Y, Which means: Y= 0.30 * X.
Now We would have to check all the viable solutions in the answer to see if they satisfy the equation Y= 0.30 * X
Option one(-3, -0.9) and two (-2.5, -0.75) Would not be a viable solution because the value of number of days can not be negative and in option one and two, value of days -3 and -2.5 is negative.
Option three(4.5, 1.35) can not be correct because library charges fee for a full day so the number for days would be a whole number. Library would not charge for 4.5 days, they would either charge of 4 days or 5 days because 4.5 is not an whole number.
Option four(8, 2.40) is the correct answer because it satisfies our equation;
Y= 0.30 * X
2.40= 0.30 * 8
2.40 = 2.40.
Fourth option (8, 2.40) is the only viable solution to this question.