The way I like to solve proportions is by cross multiplying and dividing. First yo multiply the diagonals and then you divide by the other number. So if your proportion is 7/5 = x/3, your equation would be 7*3/5. So 7*3 is 21, so your equation is now 21/5. With some long division, you'll see that 21/5 = 4.2 That's your answer, feel free to ask more questions if you need!!(:
Answer: 18
Step-by-step explanation:
Area of triangle = (0.5) × base(b) × height(h)
Base of triangle = 8
Height of triangle = 15
Area of triangle = (0.5) × 8 × 15 = 60
Volume of triangular prism = B × height
Where h = height
B = area of triangle
Volume of triangular prism = 1080
Find the height(h) of the triangular prism
Volume of triangular prism = B × height
1080 = 60 × h
h = 1080 / 60
h = 18
Answer:
58.29
Step-by-step explanation:
1/2 × (7+10.4) × 6.7
= 58.29
The slope-intercept form is:
y = mx + b
where m = slope, and b = y-intercept.
You need a slope of 1, so m = 1.
You need a y-intercept of -1, so b = -1.
Replace m with 1 and b with -1 in the slope intercept form to get
y = 1x + (-1)
which simplifies to
y = x - 1
Answer:
A. 605 mL of the 35% solution
B. 55 mL of the 95% solution
Step-by-step explanation:
It is given that, you need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture.
Let x and y be the amount of 35% alcohol solution and 95% alcohol solution (in mL) respectively.
So,
Amount equation:
...(1)
Alcohol equation :
...(2)
On solving (1) and (2), we get
Now, substitute y=55 in (1).
Therefore, we need 605 mL of the 35% solution and 55 mL of the 95% solution.