Apply the distributive property t create an equivalent expression

Divide 3m 80cm of ribbon in the ratio of 1/3 : 3/4 : 1/2 what is the result?

JulijaS [17]

Answer:

80 cm / 180 cm / 120 cm

Step-by-step explanation:

the smallest common multiple of 3, 4 and 2 is 12.

so, to be able to truly compare these fractions we need to bring all denominators to .../12.

1/3 = 4/12

3/4 = 9/12

1/2 = 6/12

in total we have therefore 19 (4+9+6) equally large parts of the ribbon that are then combined :

4 parts for the first segment.

9 parts for the second segment

6 parts for the third segment.

so, one part is

380 cm / 19 = 20 cm

therefore the first segment of the ribbon is

4×20 = 80 cm long

the second segment

9×20 = 180 cm long

the third segment

6×20 = 120 cm long

4 0

3 years ago

Find the total surface area of these solids

12345 [234]

<h2>Step-by-step explanation:</h2><h3>We firstly find the surface area of only one face of the cube:</h3><h3>Sa=a²</h3><h3>Sa=1.2²cm</h3><h3>Sa=1.44cm²</h3>

<h2>Since the cube has 6 faces we multiply the surface area of one face(144cm²) with 6</h2>

Area(cube)=1.44cm²*6

=8.64cm²

<h2>Same thing with the prism but we have to find the area of one of his triangle face and rectangle face</h2>

S(triangle)=5mm*4mm*1/2

=10mm²

S(rectangle)=7mm*5mm=35mm²

<h2>The prism has 2 triangle faces and three rectangle faces so we multiply the area by those numbers and then we add those together to get the final area</h2>

S=10mm²*2+35mm²*3

S=20+105

S=125mm²

<h3><em>Hope this helped..</em></h3><h3 /><h3><em>Hope this helped..Brainliest pls..</em></h3>

4 0

3 years ago

Solve for x. -3/5x+1/5>7/20

kakasveta [241]

Answer:

Step-by-step explanation:

15 + 720 is 1120

3 0

3 years ago

How do I solve 2x+3y=7, x-y=1

Fittoniya [83]

<span>2x+3y=7
x-y=1

</span>2x+3y=7
x=1+y

2*(1+y)+3y=7
x=1+y

2+2y+3y=7
x=1+y

5y=5 |(:5)
x=1+y

y=1
x=2

CHECK:
2x+3y=7
x-y=1

2*2 + 3*1 = 7

x-y = 1
2-1 = 1

5 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP !!

wariber [46]

Answer:

<u>First figure:</u> $954cm^3$

<u>Second figure:</u> $1,508yd^3$

<u>Third figure:</u>

Height= q
Side length = r

<u>Fourth figure: </u> $726cm^3$

Explanation:

<u></u>

<u>A. First figure:</u>

<u>1. Formula:</u>

$\text{Volume of a cylinder}=\pi \times radius^2\times length$

radius = 9cm / 2 = 4.5cm

length = 15 cm

<u>3. Substitute in the formula and compute:</u>

$Volume=\pi \times (4.5cm)^2\times (15cm)\approx 954cm^3\approx 954cm^3$

<u>B. Second figure</u>

<u>1. Formula: </u>

$\text{Volume of a leaned cylinder}=\pi \times radius^2\times height$

radius = 12yd

height = 40 yd

<u>3. Substitute and compute:</u>

$Volume=\pi \times (12yd)^2\times (40yd)\approx 1,507.96yd^3\approx 1,508yd^3$

<u></u>

<u>C) Third figure</u>

a) The<em> height </em>is the segment that goes vertically upward from the center of the <em>base</em> to the apex of the pyramid, i.e.<u> </u><u>q </u>.

The apex is the point where the three leaned edges intersect each other.

b) The side length is the measure of the edge of the base, i.e.<u> r </u><u> </u>.

When the base of the pyramid is a square the four edges of the base have the same side length.

<u>D) Fourth figure</u>

<u>1. Formula</u>

The volume of a square pyramide is one third the product of the area of the base (B) and the height H).

$Volume=(1/3)B\times H$