Answer:
Step-by-step explanation:
We are asked to calculate 7.75% of $9,000.
To calculate 7.75% of $9,000, we will divide 7.75 by 100 and then multiply by $9,000 as:
Therefore, 7.75% of $9,000 equals $697.50.
False
Answer:
29
Step-by-step explanation:
Let the smaller integer be x.
The other integer is 1 greater than 3 times x, or 3x + 1.
The product is 154.
x(3x + 1) = 154
3x^2 + x - 154 = 0
157 = 2 * 7 * 11
14 * 11 = 154
22 * 7 = 154
(3x + 22)(x - 7) = 0
3x + 22 = 0 or x - 7 = 0
3x = -22 or x = 7
x = -22/3 or x = 7
-22/3 is not a positive integer, so we discard that solution.
The smaller integer is 7.
3x + 1 = 3(7) + 1 = 22
The greater integer is 22.
The sum of the integers is 7 + 22 = 29
Answer: 29
Step-by-step explanation:
The farmer's market has a total of 98 tents. the ratio of food tents to retail tents is 9:5. a. Write a system of linear equations that represent this situation. b. How many food tents are at the market? c. How many retail tents are at the market?
Answer:
Let x represents the food tents and y represents the retail rents.
As per the given statement: The farmer's market has a total of 98 tents.
⇒ ......[1]
Also, it is given that the ratio of food tents to retails tents is 9 : 5.
⇒
By cross multiply, we have;
5x = 9y
Divide both sides by 5 we get;
Substitute this value x in equation [1] to solve for y;
Combine like terms;
Multiply both sides by we get;
Substitute the value of y= 35 in to solve for x;
(a)
System of linear equation that represents situation is:
(b)
As x represents the food tents.
Therefore, 63 food tents are at the market.
(c)
y= 35 retail tents are at the market.