please help me with the answer, ive been stuck on getting both answers for a while now ty

Answer:

a) Smallest line that can be made with each color = 300 cm

b) Total strips should be used = 47 strips

c) Total strips used of blue color = 20

  Total strips used of green color = 15

  Total strips used of red color = 12

Step-by-step explanation:

Given - To decorate a wall, there are 15 cm blue, 20 cm green, and 25 cm red strips of paper. On the wall you want to build three lines of the same size, one of each color and without cutting any strip.

To find - a) How long is the smallest line that can be made with each color?

              b) How many strips should be used?

              c) How many of each color?

Proof -

a)

For the smallest line that can be made with each color, we just have to find the lcm (least common multiple) of the 3 srtips.

Firstly,

Decompose the 3 strips to its prime factors , we get

15 = 3×5

20 = 2²×5

25 = 5²

So,

The Lcm(15, 20, 25) = 3×2²×5² = 3×4×25 = 300

∴ we get

Smallest line that can be made with each color = 300 cm

b)

Now,

Total strips used = 300 cm

Strips used by 15 cm blue = [tex]\frac{300}{15}[/tex] = 20 strips

Strips used by 20 cm green = [tex]\frac{300}{20}[/tex] = 15 strips

Strips used by 25 cm red = [tex]\frac{300}{25}[/tex] = 12 strips

So,

Total strips should be used = 20 + 15 + 12 = 47 strips

c)

Total strips used of blue color = 20

Total strips used of green color = 15

Total strips used of red color = 12

Step-by-step explanation:

(38+45)+9*2+3-59+((4/2)*3+8*5)=

83+18+3-59+(6+40)=

83+18+3-59+(6+40)=

83+18+3-59+46=

(83+18+3+46)-59=

150-59=91

I'm not sure if this is correct but it should be. Is it 4/2*3 or (4/2)³?If it is (4/2)³ the result would be 93.

Answer:

5

Step-by-step explanation:

180=140+8x

180-140=40

40÷8=5

x=5

Answer:

x=5

Step-by-step explanation:

angles on straight line sum up to 180°

140+8x=180

8x=40

x=40/8

x=5

Answer:

a.

Step-by-step explanation:

Answer:

[tex] A=(8 \pi +40) cm^2 [/tex]

[tex] P=(4 \pi + 4\sqrt {29}) \: cm[/tex]

Step-by-step explanation:

For semicircle:

Diameter = 8 cm

Radius (r) = 8/2 = 4 cm

For triangle:

Base (b) = 8 cm

Height (h) = 10 cm

Area of the shaded region

[tex] A=\frac {1}{2} \pi r^2 +\frac {1}{2}b.h[/tex]

[tex] A=\frac {1}{2} \pi (4)^2 +\frac {1}{2}(8).(10)[/tex]

[tex] A=(8 \pi +40) cm^2 [/tex]

By Pythagoras Theorem:

[tex] AC = BC = \sqrt {4^2 +10^2}[/tex]

[tex] AC = BC = \sqrt {16 +100}[/tex]

[tex] AC = BC = \sqrt {116}[/tex]

[tex] AC = BC =2\sqrt {29}[/tex]

[tex] P= \frac {1}{2} \times 2\pi r+ AC + BC[/tex]

[tex] P= \pi (4)+ 2\sqrt {29} + 2\sqrt {29}[/tex]

[tex] P=(4 \pi + 4\sqrt {29}) \: cm[/tex]

Answer:

m<b = 41

Step-by-step explanation:

<b = 41 because of vertical angle thm

Answer:

1441.08 cubic inches

Step-by-step explanation:

Blue

V = L * W * H

L = 15

W = 9

H = 9

V = 9 * 9 * 15 =                       1215 CU IN

YELLOW

Diameter = 6

Height = 8

radius = d/2

radius = 6/2

radius = 3

Volume = pi*r^2 * h

Volume = 3.14*3^2 * 8

Volume =                                226.08    Add

                                               1441.08

Answer:

82 degrees

let the point where the lines cross be E

ABD angle is 108 / 2 = 54 degrees

CAB angle is 56 / 2 = 28 degrees

the missing angle in ABE triangle is 180-54-28=98 degrees. angle x is 180 - 98 = 82

Answer:

B

Step-by-step explanation:

18:48

divide both sides by 6

3:8

Answer:

(4, -2),  (3, 7),  (5, 1),  (6, -2),  (7, -5)

Step-by-step explanation:

These are a few of the points, so you can just connect them!

Hope this helped! :)

Answer:

Step-by-step explanation:

If you have both the slope and a point on the line, use the point-slope formula y - k = m(x - h), which here is y + 2 = -3(x - 4).

Now you can choose a few x values at random and calculate the associated y values.  Let's try x = -1, x = 3, x = 0:

For x = -1:  y + 2 = -3(-1 - 4), or y = -2 -3(-5) = -2 + 15 = 13.  The point is (-1, 13).

For x = 3, we get y + 2 = -3(-1), or y = -2 + 3 = 1.  The point is (3, 1).

For x = 0, y = -2 - 3(-4), or y = -2 + 12 = 10.  The point is (0, 10).

Plot these three points and draw a line through them.

Answer:

$75000

Step-by-step explanation:

Given data

Let her yearly earnings be x

so

40% of x= $30000

40/100*x=30000

0.4x=30000

x=30000/0.4

=$75000

Hence the total amount made per years is

$75000

Answer:

Step-by-step explanation:

Adjecent angle: Two angles that have the same vertex and one side in common.

Vertcial angle: Pairs of opposite angles formed by intersecting lines-- vertical angles have the same measure.

The answer is in the screenshot I hope I helped.

If you want to you can give me brainliest. (Your choice :D NO Pressure)

Answer:

25+25-25=25+0=25 is your answer

Answer:

25 +25-25=25

Have a nice day!

Answer:

1/1

Step-by-step explanation:

Answer:

( 2 . 3 7 1 0 8 ) 3

Step-by-step explanation:

Answer:

I think its like a cartoon or something like that

https://hbomax-images.warnermediacdn.com/images/GXyniGAhmEcJZOgEAAABz/tileburnedin?size=1280x720&format=jpeg&partner=hbomaxcom&productCode=hbomax&host=artist.api.cdn.hbo.com&w=1200

there image I think

Answer: 24

Step-by-step explanation:

m - 15 + 15 = 9 + 15

m = 24

sorry ur on your own

Answer:

$33.72

Step-by-step explanation:

$13.86 + $3.00 + $13.86 + $3.00

$33.72

Answer:

4/5

Step-by-step explanation:

Convert 1 3/5 into improper fraction

1 3/5 -> 8/5

1/2x8/5= 8/10

8/10= 4/5

Answer: i think that's right if not than t don't have a solution

Step-by-step explanation:4(m−9)=2(2m+1)−40

(4)(m)+(4)(−9)=(2)(2m)+(2)(1)+−40(Distribute)

4m+−36=4m+2+−40

4m−36=(4m)+(2+−40)(Combine Like Terms)

4m−36=4m+−38

4m−36=4m−38

Step 2: Subtract 4m from both sides.

4m−36−4m=4m−38−4m

−36=−38

Step 3: Add 36 to both sides.

−36+36=−38+36

0=−2

Answer:

18

Step-by-step explanation:

(9 + 3 )× 3 / 2 = 12×3 / 2 = 6×3 = 18

Answer:

4250 children.

Step-by-step explanation:

72 - 38 = 34

34 degrees = 578 people

/34                   /34

1 degree = 17 people

72 + 38 = 110

360 - 110 = 250

17 * 250 = 4250 children.

Answer:

do yourself a favor and download photomath. It'll save your life

Step-by-step explanation:

Answer:

Use rules of logarithms to expand.

Undefined!

Step-by-step explanation:

Answer:

love

Step-by-step explanation:

you

Answer

2

Step-by-step explanation:

1+1 equals 2.

have a great day!

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