Answer:
The product of 2x + y and 5x – y + 3 is 10x^2+ 3xy + 6x - y^2 + 3y
Step-by-step explanation:
The product of the two expressions can be expressed mathematically as;
(2x +y) (5x -y +3)
To obtain the product of these expressions, we simply expand the brackets as follows;
2x(5x -y +3) + y(5x -y +3)
= 10x^2 - 2xy + 6x + 5xy - y^2 + 3y
= 10x^2- 2xy + 5xy + 6x - y^2 + 3y
= 10x^2+ 3xy + 6x - y^2 + 3y
The product of 2x + y and 5x – y + 3 is thus 10x^2+ 3xy + 6x - y^2 + 3y
Answer: y = x + 4
Step-by-step explanation:
Since the total number of gasoline is given to be "y", with an initial quantity of filled gasoline to be "4" and the quantity of unfilled gasoline to be "x".
Therefore, the summation of the filled and unfilled quantity of gasoline will be "x + 4" which is equal to the total capacity of the tank "y".
Multiply 300 by 54%= 16,200
Divide 16,200 by 100
= 162.20
Round 162.20 to the nearest whole
= 162
hope this helps.
This is the steps to finding a percent
Answer:
Part A: James needs 10 1/2 cups of sugar if he uses all 7 cups of flour
Part B: James will make 72 muffins if he uses all 7 cups of flour
Step-by-step explanation:
*I had an easier time figuring out part B before I figured out part A
PART B:
If the original recipe uses 2 1/3 cups of flour, and James has 7 cups of flour, I started off by dividing 7 by 2 1/3 to see how many times we can get 2 1/3 cups out of 7 cups. 7 divided by 2 1/3 = 3. Now that we know we can get 3 cups out of 2 1/3 cups, we need to multiply 3 by 24 to find out how many muffins James will get. 24 * 3 = 72
James will get 72 muffins by using 7 cups of flour.
PART A: Now we know that James is making 72 muffins. We need to find out how many cups of sugar James needs. To do that we can multiply 1 1/2 cups by 7. The product is 10 1/2 cups of sugar. Now we know that James needs 10 1/2 cups of flour if he uses all 7 cups of flour.
Hope this helps!!
Answer:
86°
Step-by-step explanation:
180° is the sum of all angles in a triangle
The two angles given are 68° and 26°
The equation is : 180° - 68° - 26° = x°
180° - 68° - 26° = 86°
x° = 86°
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-Chetan K