I’m a failure if you can just say “yes you are” in the comments
Answer:
x = 1
y = 6
Explanation:
The first given equation is:
-x + y = 5
Multiply this equation by -1, you will get:
x - y = -5 ............> I
The second given equation is:
4x + y = 10 ..........> II
Add the two equations I and II as follows:
x - y = -5
+ 4x + y = 10
..............................
5x = 5
Therefore:
x = 5/5
x = 1
Substitute with x in equation I to get y as follows:
x - y = -5
1 - y = -5
y = 1 + 5
y = 6
Hope this helps :)
Answer:

Step-by-step explanation:
The first step is to multiply the numbers of the numerator. Thus:


Writing the answer above as the product of a whole number and unit fraction (that is, mixed number), 5 goes in 8 1 time remainder 3. Therefore:

Answer:
The correct answer is in bold below written in two different ways. I think that the two middle options of your problem were given by mistake. The correct answer is not in the options.
Step-by-step explanation:
cost of yogurt = cost of toppings + cost of yogurt with 1 topping
cost of yogurt with 1 topping = $3.65
cost of yogurt = cost of toppings + 3.65
cost of 1 additional topping = $0.45 * 1
cost of 2 additional toppings = $0.45 * 2
cost of x additional toppings = $0.45 * x = 0.45x
Since 1 topping is included in the $3.65 charge, if you pay for x additional toppings, you will have x + 1 total number of toppings. That means you must pay for only x - 1 additional toppings to have a total of x toppings.
One topping is already included in the $3.65 charge, so you pay for only x - 1 additional toppings.
cost of x - 1 additional toppings = 0.45(x - 1)
cost of yogurt = 0.45(x - 1) + 3.65
y = 0.45(x - 1) + 3.65
y = 0.45x - 0.45 + 3.65
y = 0.45x + 3.2
Answer:
Speed of Amy is 3.75 miles per hour.
Step-by-step explanation:
We have, speed of Amy = 110 yards per minute
This means, she covers 110 yards of distance in 1 minute.
Now, to convert the speed of Amy into miles per hour, we will first convert the distance from yards into miles and then convert time from minutes to hour.
We know that,
1 yard = 3 feet
∴ 110 yards = 3 × 110 feet = 330 feet
Now, we also know that,
5280 feet = 1 mile
∴ 1 feet =
miles
So, 330 feet =
=
miles
∴ 110 yards = 330 feet =
miles
Now, 60 min = 1 hr
∴ 1 min =
hrs
So, 110 yards =
miles and 1 min =
hr
So, we can say that, Amy covers a distance of
miles in
hr.
We know that,



Therefore, the speed of Amy in miles/hr is 3.75 miles/hr.