Answer:
one gadget costs $15.80
Step-by-step explanation:
Let w = cost of one widget
Let g = cost of one gadget
Given:
- Five widgets and three gadgets cost $109. 90
⇒ 5w + 3g = 109.9
Given:
- One widget and four gadgets cost $75. 70
⇒ w + 4g = 75.7
Rewrite w + 4g = 75.7 to make w the subject:
⇒ w = 75.7 - 4g
Substitute into 5w + 3g = 109.9 and solve for g:
⇒ 5(75.7 - 4g) + 3g = 109.9
⇒ 378.5 - 20g + 3g = 109.9
⇒ 378.5 - 109.9 = 20g - 3g
⇒ 268.6 = 17g
⇒ g = 15.8
Therefore, one gadget costs $15.80
To find the cost of one widget, substitute the found value for g into
w = 75.7 - 4g and solve for w:
⇒ w = 75.7 - 4(15.8)
⇒ w = 75.7 - 63.2
⇒ w = 12.5
Therefore, one widget costs $12.50
5÷3=1.66
1.66×8=13.28, round to 13.3
Answer:
Options A and B are polynomial of the fourth degree
Step-by-step explanation:
In this problem, option
A. 3x2y + 5x3y + 6y4
Is a Polynomial of the fourth degree because of the 6y⁴ term which is the highest degree
Also the option
B. 6y4 + 5x3 + 1 has a 6y⁴ term which indicates that the polynomial is a fourth degree polynomial
What is the degree of a polynomial?
In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer
Its 8 divided by 3 which equals 2.6
Answer:
x=71 and y=19
Step-by-step explanation:
First, we write out the first sentence as an equation. This is x+y=90. We also know that x=3y+14 because of the second sentence. Using this, we can substitute x in the first equation with what it is (3y+14). This makes the new equation 3y+14+y=90. Then, we collect like terms by adding the 'y's together - making 4y+14=90. We need to make the letters on one side and the numbers on the other. To do this, we subtract 14 from each side, making 4y=76. We want to find out what 'y' is by itself (not multiplied by four) so we divide each side by 4. This means that we have found out that y=19 because 76÷4=19. Now, it is time to solve x. Using our new knowledge that y=19, we can replace y in the equation x+y=90 with 19 so now we have x+19=90. This is the same as 90-19=x and we know that 90-19=71, so x must be 71. In conclusion, x=71 and y=19.
I hope this helps, have a great day!
