Answer:
Part a: The ratio is 9:15
Part b: The equivalent ratio is 3:5
Answer:
248 cm^2
Step-by-step explanation:
in order to get the figures surface area you only need to find the area of all 6 sides
in this case the two ends are 4 by 6
the front and back are 10 by 6
and the top and bottom are 10 by 4
this would mean that we need to multiply
(4*6)*2
(10*6)*2
(10*4)*2
which would look like
(4*6)*2= (24)*2= 48
(10*6)*2= (60)*2=120
(10*4)*2= (40)*2=80
and finally the sum of the equations is the surface area of the figure
48+120+80=248
Answer:
Step-by-step explanation:
Given that,
Mass of a certain material, m = 71 pounds
Since, 1 ton = 2000 pounds
71 pounds = 0.0355 ton
Volume of the material, V = 2.5 gallons
Since, 1 m³ = 264.172 gallon
2.5 gallon = (2.5/264.172 ) m³
Density,
Answer:
0.45
Step-by-step explanation:
Percentages are the number over 100 which is basically 45/100. This fraction can be converted into a decimal, as the decimal places are 0.(tenths 1/10)(hundredths 1/100). 45 going into the hundredths puts the 4 in the tenths and the 5 in the hundredths.
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2, 3)
m = = = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using B(2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line