<u>Answer:</u>
Equation t = 5c + 6d represents total cost t of c large pizzas and d large one-topping pizzas
<u>Solution:</u>
Given that
Cost of large pizza = $5 each
Cost of large one-topping pizza = $6 each
Need to write the equation that represents total cost t of c large pizzas and d large one topping pizzas.
From given information
Cost of 1 large pizza = 5
So cost of c large pizzas = c x 5 = 5c
Cost of 1 large one-topping pizza = 6
So cost of d large one-topping pizzas =d x 6 = 6d
<em>Total cost t = cost of c large pizzas + cost of d large one-topping pizzas </em>
=> t = 5c + 6d
Hence equation t = 5c + 6d represents total cost t of c large pizzas and d large one-topping pizzas.
Answer: To clear an equation of decimals, multiply each term on both sides by the power of ten that will make all the decimals whole numbers. In our example above, if we multiply .25 by 100, we will get 25, a whole number. Since each decimal only goes to the hundredths place, 100 will work for all three terms.
So let's multiply each term by 100 to clear the decimals:
(100)0.25x + (100)0.35 = (100)(-0.29)
25x + 35 = -29
Now we can solve the equation as normal:
25x + 35 - 35 = -29 - 35
25x = -64
x = -2.56 Since the original was in decimal form, the answer should most likely also be in decimal form.
Let's look at one more:
1.75x + 4 = 6.2
We have to think a little more carefully about what multiple of ten to use here. 6.2 only needs to be multiplied by 10, but 1.25 needs 100, so we will multiply every term by 100. Don't forget to multiply the 4 by 100 as well.
(100)(1.75x) + (100)(4) = (100)(6.2)
175x + 400 = 620
We had to be extra careful as we multiplied by 100. Now we can solve the equation as normal:
175x + 400 - 400 = 620 - 400
175x = 220
x = 1.26
Step-by-step explanation:
I would say D the other answers seem wrong
Answer:
The slope of the line can be determined from the gradient equation, rise (y axis)/ run (x-axis)
Hence let (-1, 8) be A and (2, -4) be B. The slope from A to B is (-4-8)/(2-(-1))= (-12)/3= -4
Hence the gradient/ slope of the line is -4.
Step-by-step explanation:
