Answer:
The cat should receive 1/5 of the can of food at each meal.
Step-by-step explanation:
Given that a cat is to receive 90 kcal of a canned food at each meal, and the food has a caloric density of 450 kcal per can, to determine what fraction of a can it should receive at each meal, the following calculation must be performed:
1 / (450/90) = X
1/5 = X
Thus, the cat should receive 1/5 of the can of food at each meal.
The area of the triangle will be 24912 sq. units. Square units and other similar units are used to measure area.
<h3>What is the area?</h3>
The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area.
For:
(X1, Y1) = (1, 15)
(X2, Y2) = (-2, 1)
d = 14.317821
For:
(X₂, Y₂) = (-2, 1)
(X₃, Y₃) = (4, 5)
d = 7.211103
For applying the pythogorous them we need the right angle triangle obtained by bisect from the mid point.
The value of the base is;
⇒7.2 / 2
⇒3.6
apply the pythogorous theorem for finding the height;
h² = p² + b²
14.31² = p² + 3.6²
p = 13.84
The area of the triangle is;
Hence, the area of the triangle will be 24912 sq. units.
To learn more about the area, refer to the link;
brainly.com/question/11952845
#SPJ1
Answer:
a) w = 8; y = 5.25
b) x = 10; z = 7.2
Step-by-step explanation:
a) Dimensions on the smaller figure are FA/F'A' = 3/4 times those on the larger figure.
6 = (3/4)w
w = 24/3 = 8
y = (3/4)·7 = 21/4 = 5.25
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b) Dimensions on the smaller figure are ER/E'R' = 9/15 = 3/5 times those on the larger figure.
6 = (3/5)x
x = 30/3 = 10
z = (3/5)12 = 36/5 = 7.2
The mean is the average of a set of numbers.
To find the mean of this data, form a number set by gathering all the numbers.
We need to find the average weekly allowance. To do this, each number in the number set should be the different allowances, and their quantity is the number of students who earned that allowance.
In this case, there would be seven 0s, five 3s, seven 5s, three 6s, and two 8s.
The numbers are:
0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8
To find the mean of these numbers, add then together then divide by the total amount of numbers.
This means doing:
(0 + 0 + 0 + 0 + 0 + 0 + 0 + 3 + 3 + 3 + 3 + 3 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 8 + 8) / 7 + 5 + 7 + 3 + 2
An easier formula could be used by using multiplication.
This would be [7(0) + 5(3) + 7(5) + 3(6) + 2(8)] / 24
This is a lot easier to read!
Now to solve it.
7 • 0 = 0
5 • 3 = 15
7 • 5 = 35
3 • 6 = 18
2 • 8 = 16
0 + 15 + 35 + 18 + 16 = 84
84 / 24 = 3.5
The mean is 3.5, or $3.50
This means that the average weekly allowance amongst these students is $3.50.
Hope this helps!
Answer:
0,1.5
Step-by-step explanation:
y = 510 - 60x
We want to find the domain or the x values where x represents the time
We need to determine the possible values for x
Y cannot be greater than 510 or less than 0. 510 means they have not started the trip, and 0 means they have arrived
510 = 510 -60x
Subtract 510 from each side
510-510 = 60x
0 = 60x
The smallest value of x can be 0
0 = 510 - 60x
Subtract 510 from each side
-510 = 510-510-60x
-510=-60x
Divide by -60
-510/-60 = -60x/-60
8.5 = x
The maximum value of x is 8.5 hours
So x must be between 0 and 8.5 inclusive.
