Answer:
Length: 11.95
Width: 9.95
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
To begin solving this question we need to create a formula to then solve. According to the information given in the question we can create 2 formulas.
<u>Where:</u>
- P is the perimeter
- L is the length
- W is the width
Now we can replace L for the L in the P formula and solve for W, Like so....
Now that we have the value of W we can plug that into the L formula and find L
Finally, we can see that the value of the Length is 11.95 in and the Width is 9.95 in
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Answer:
The matching is shown below.
Step-by-step explanation:
The given sets are defined as
A = {x | x < 1}
It means all the values of x which are less than 1.
B = {x | x ≥ 5}
It means all the values of x which are greater than or equal to 5.
C = {x | x = 5}
It means all the value of x is 5.
Union of two sets contains all the elements of both sets.
Intersection of two sets contains only common elements of both sets.
The matching is shown below.
Sets Correct value
1. A ∪ B {x | x < 1 or x ≥ 5}
2. A ∪ C {x | x < 1 or x = 5}
3. B ∪ C {x | x ≥ 5}
4. A ∩ B Ø
5. B ∩ C {x | x = 5}
Answer:
- x = 37 1/2
- x = 2
Step-by-step explanation:
Parallel lines divide transversals proportionally. I like to write the proportions so the variable is in the numerator. Then the solution is obtained by multiplying by the denominator of the variable term.
1. x/20 = (46 -16)/16
x = 20(30/16)
x = 37.5
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2. (x +4)/13.5 = 4/9
x +4 = 13.5(4/9) = 6
x = 6 -4
x = 2
Bob can buy 15 cupcakes for the price of 18 cookies.
Step-by-step explanation:
- Assume the cost of a cookie is $x, the cost of a brownie is $y and the cost of a cupcake is $z.
- It is given that 6 cookies and 2 brownies cost the same, so 6x = 2y, take this as equation 1.
- It is also given that 4 brownies cost the same as 10 cupcakes, so 4y = 10z, take this as equation 2.
- If we divide equation 2 by 2 we get, 2y = 5z so that the y value is the same as equation 1 and we can equate equation 1 and 3.
- We get 6x = 2y = 5z, 6x = 5z, dividing both sides by 5, we get 1.2x = z.
- We need to calculate how many cupcakes Bob can buy for the price of 18 cookies, So we must find the z value when the x = 18.
- If we multiply 1.2 with 15 we get 18 so we the last equation is multiplied with 12 so that 18x = 15z. 18 cookies and 15 cupcakes cost the same.
