Let x represent the amount of money Sophia can spend on party favors.
x = amount of money Sophia can spend
$2.75 = amount spent per person
6 = amount of people
Equation:-
x ÷ $2.75 = 6
Now lets solve for x :-
To solve for x we will use d INVERSE OPERATION of division which is multiplication. Lets do it:-
x ÷ 2.75 = 6
6 × 2.75 = x
6 × 2.75 = 16.50
x = 16.50
CHECK OUR WORK:-
x ÷ 2.75 = 6
x = 16.50
16.50 ÷ 2.75 = 6
We were RIGHT!!
So, our equation for dis question would be x ÷ 2.75 = 6. When we solve for x, x = 16.50. Sophia can spend $16.50 on her party favors for 6 people.
Hope I helped ya!! xD
Answer:
y = −3x − 23
Step-by-step explanation:
The equation of the line in the slope-intercept form is y= x/3 + 6.
The slope of the perpendicular line is negative inverse: m = −3.
So, the equation of the perpendicular line is y = −3x + a.
To find a, we use the fact that the line should pass through the given point:
−2 = (−3) ⋅ (−7) + a.
Thus, a = −23.
Therefore, the equation of the line is y = −3x − 23.
Answer: y =−3x − 23
Answer: B. $32.50
Step-by-step explanation:
The premiums listed in brackets are for every $25,000 of coverage.
Mateo wants a $100,000 coverage so we need to divide this by $25,000 to see how much more he will have to pay:
= 100,000 / 25,000
= 4
Mateo will have to pay 4 times the $5.50 for himself:
= 4 * 5.50
= $22.00
For his spouse who requires $75,000, he will have to pay:
= 75,000 / 25,000
= 3
= 3 * 3.50
= $10.50
Total Mateo is to pay for both his spouse and himself is:
= 22 + 10.5
= $32.50
Answer:
1/2
Step-by-step explanation:
Simple probability is a ratio of the number of ways the thing we want to happen can to the total possible outcomes.
(For example, we flip a coin and want heads, but it can land on heads or tails. Our probability of getting heads is 1/2, one way to get heads over the 2 possible outcomes)
So for this problem, there's 20 possible things that CAN happen (3 + 7 + 10) and 10 ways we get what we want (a green marble).
Our probability of getting a green marble is 
, which simplifies to 
