Answer:
133.33g
Step-by-step explanation:
Let the:
Mass of 1.2g/cm³ of liquid = x
Mass of 1.8g/cm³ of liquid = y
From our Question above, our system of equations is given as:
x + y = 400........ Equation 1
x = 400 - y
1.2 × x + 1.8 × y = 1.6 × 400
1.2x + 1.8y = 640..... Equation 2
We substitute, 400 - y for x in Equation 2
1.2(400 - y) + 1.8y = 640
480 - 1.2y + 1.8y = 640
- 1.2y + 1.8y = 640 - 480
0.6y = 160
y = 160/0.6y
y = 266.67 g
Solving for x
x = 400 - y
x = 400 - 266.67g
x = 133.33g
Therefore, the mass of the liquid of density 1.2g/cm³ is 133.33g
Answer:
C - 19 hours 27 minutes
Step-by-step explanation:
180 × 2 = 360
360 calories in an hour
3500 × 2 = 7000 (amount of calories in 2 pounds)
7000 ÷ 360 = 19.4444...
I hope this helps
Answer:
The school where the donut and coffee day will take place.
The number of boxes of donuts the PTO bought.
The number of cups of coffee the PTO bought.
Answer:
Yes triangle ABC and DEF are similar.
Step-by-step explanation:
One rule of triangles is that all the angles in a triangle will add up to 180 degrees.
Now, first, you will figure out the remaining angle in triangle ABC.
- Add up 35 and 20. (35 + 20 =55)
- Subtract 55 from 180 (180-55= 125)
- When you add 125, 35, and 20, you get 180, which should happen due to the rule of all angles in a triangle add up to 180.
Now, in triangle DEF, one angle is 125 and the other is 35. To find the other angle add 125 and 35 and subtract the sum of those two numbers from 180.
- 125 + 35 = 160
- 180-160= 20
The remaining angle is 20 degrees
As you can see, triangle ABC shares the same angles as triangle DEF.
This tells you that triangle ABC and triangle DEF are both similar due to the fact that they have the same measurements of triangles.
You can also tell they are similar because two angles in triangle ABC equal two angles in triangle DEF because of the Angle-Angle (AA) Similarity
I hope this explanation helped and have a good day!
Answer:
Slope of line is 
Step-by-step explanation:
Given that the company logo has four concentric circles.
To plot the line on the graph take point as ( Diameter, Circumference )
Circumference of a circle is given by C=
Where D is the diameter.
To draw a line, we need at least two-point.
Now,
Take D=1
Circumference of a circle will be C=
Required point is (1,)
Take D=0
Circumference of a circle will be C=
Required point is (0,0)
The slope of line is given by s=
Hence,
s=
s=![\frac{0-[tex]\pi](https://tex.z-dn.net/?f=%5Cfrac%7B0-%5Btex%5D%5Cpi%20)
}{0-1}[/tex]
s=![\frac{[tex]\pi](https://tex.z-dn.net/?f=%5Cfrac%7B%5Btex%5D%5Cpi%20)
}{1}[/tex]
s=
Thus, Slope of line is
