Answer:
Answer:
\{ {{20x+30y=280} \atop {y=4x}} .{
y=4x
20x+30y=280
.
Where xx is the number of small boxes sent and yy is the number of large boxes sent.
Step-by-step explanation:
Let be xx the number of small boxes sent and yy the number of large boxes sent.
Since each small box can hold 20 books (20x20x ), each large box can hold 30 books (30y30y )and altogether can hold a total of 280 books, we can write the following equation to represent this:
20x+30y=28020x+30y=280
According to the information provided in the exercise, there were 4 times as many large boxes sent as small boxes. This can be represented with this equation:
y=4xy=4x
Therefore, the system of equation that be used to determine the number of small boxes sent and the number of large boxes sent, is:
\{ {{20x+30y=280} \atop {y=4x}} .{
y=4x
20x+30y=280
.
Answer:
The shape can be broken into a rectangular prism and a triangular prism.
The volume of the ramp is 24 feet cubed.
Step-by-step explanation:
The ramp has a rectangular prism and triangular prism. The combined shape makes the ramp.
The volume of a rectangular prism = Bh
where
B = base area
B = length × width
h = height
volume = 1.5 × 4.8 × 2 = 14.4 ft³
The volume of a triangular prism = base area + slant height
volume = 1/2 b × h × l
where
b = base of the triangle
h = height of the triangle
l = slant height of the prism
volume = 1/2 × 2 × 2 × 4.8 = 19.2/2 = 9.6 ft³
The volume of the ramp = 14.4 + 9.6 = 24 ft³
Answer:
15.1 mm²
Step-by-step explanation:
Lateral surface area of a cylinder = 2πrh
(where r is the radius and h is the height)
Given:
Substitute given values into the formula:
⇒ Lateral surface area = 2π(1.2)(2)
= 4.8π
= 15.1 mm² (nearest tenth)
Answer:
obtuse?
Step-by-step explanation:
Answer:
y = 33/7 and x = 41/7
Step-by-step explanation:
I'm writing this cuz I gotta get it to 20 characters.
