Zara ate 50 almonds last week which is 150% as many as she ate last week.
The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that Zara ate 75 almonds this week, or 150% as many as she ate last week.
Let's assume that she eat x almonds last week
As per the given question, we can write the percentage would be as
⇒ 150% of x = 75
⇒ (150/100) x = 75
Apply the cross-multiplication operation,
⇒ 150x = 7500
Divided by 150 into both sides of the above equation,
⇒ x = 7500/150
⇒ x = 50
Therefore, she eat 50 almonds last week.
Learn more about the percentages here:
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Work for Point 2
Work for Point 3
Work for Point 4
Answer:
(0, 3 ), (5, 0), (10, -3), (15, -6)
Step-by-step explanation:
3x − 5y = 15
-5y = 3x + 15
y =
Point 1: (0, 3 )
y = -3/5(0) + 3
y = 0 + 3
y = 3
Validate:
3 = -3/5(0) + 3
3 = 3
Point 2: (5, 0)
y = -3/5(5) + 3
y = -3 + 3
y = 0
Validate:
0 = -3/5(5) + 3
0 = 0
Point 3: (10, -3)
y = -3/5(10) + 3
y = -6 + 3
y = -3
Validate:
-3 = -3/5(10) + 3
-3 = -3
Point 4: (15, -6)
y = -3/5(15) + 3
y = -9 + 3
y = -6
Validate:
-6 = -3/5(15) + 3
-6 = -6
Answer: For this problem, you cannot go over 10! so remember guys you can graph it however you want for example if you wanted to you could do -3/5(-2) + 3 for the first point but you would have to solve it. the next one would be maybe -3/5(-1) + 3 if you wanted to go up by plus one REMEMBER this is your OWN graph so do whichever number order you want it doesn't matter you can increase by 1 or 2 or 3 but the final point shouldn't be over ten or you will get the problem wrong. Good Luck I hope I get an A and I hope you guys get A's as well. Do ur absolute best on this
Answer:
skis and snowboards were rented.
Step-by-step explanation:
Let the number of skis rented be and the number of snowboards rented be .
If a total of people rented on a certain day, then the total number of skis and snowboards rented that particular day is also .
This gives us the equation
.
If skis cost $ , then number of skis cost $ .
If snowboards cost $ , then number of snowboards cost $ .
The total cost will give us another equation,
From equation (1),
.
We put equation (3) into equation (2) to get,
We expand the brackets to obtain,
We group like terms to get,
This implies that,
We divide both sides by to get,
We put into equation (3) to get,
Therefore skis and snowboards were rented.
To solve this problem, you can set up a system of equations where one equation represents the total number of skis and snowboards rented, and the other represents the total cost of those rentals. By solving this system, you can determine the number of skis and snowboards rented.
This problem is a classic example of a system of linear equations. Let's denote the number of skis rented as x and the number of snowboards rented as y. From the problem, we know that:
By solving these two equations, we can find the values of x and y which represent the number of skis and snowboards rented respectively.
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A.
–$70,000
B.
$114,000
C.
$44,000
D.
–$44,000