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emmasim [6.3K]
3 years ago
7

During a bike challenge, riders have collect various colored ribbons. Each 1/2 mile they collect a red ribbon, each 1/8 mile the

y collect a green ribbon, and each 1/4 mile they collect a blue ribbon. Which colors of ribbons will be collected at the 3/4 mark?
Mathematics
1 answer:
shepuryov [24]3 years ago
5 0
They will get a Green Ribbon and a Blue ribbon because 1/4 and 1/8 have a common denominator with 3/4 This means ever 1/4 a mile you get a blue ribbon and in that there is 1/4, 2/4, 3/4 and 4/4every 1/8 mile you get a green ribbon and in 1/8 there is 1/8, 2/8, 3/8, 4/8, 5/8, 6/8 (which is equal to 3/4 because 6 divided by 2 is 3 and 8 divided by 2 is 4), 7/8, and 8/8For 1/2 there is only 1/2 and 2/2 Hope this helped=)
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The vertices of a right triangle are (0, 0), (1, 0), and (0, 1).
Alchen [17]

Answer:

(3,3)

Step-by-step explanation:

Given

Vertices: (0,0)\ (1,0)\ (0,1)

Scale\ Factor = 3

Required

Determine which can't be any of the new vertices

First, we need to determine the new vertices:

New\ Vertex = Scale\ Factor * Old\ Vertex

For (0,0):

New\ Vertex = 3 * (0,0)

New\ Vertex = (3 * 0,3 * 0)

New\ Vertex = (0,0)

For (1,0):

New\ Vertex = 3 * (1,0)

New\ Vertex =  (3 * 1,3 * 0)

New\ Vertex =  (3,0)

For (0,1):

New\ Vertex =  3 * (0,1)

New\ Vertex =  (3 * 0,3 * 1)

New\ Vertex =  (0,3)

<em>Comparing the calculated new vertices to the list of given options; (3,3) can't be any of the new vertices of the new triangle</em>

<em></em>

5 0
4 years ago
Solve by elimination:
neonofarm [45]

Answer:

x=−8

y=6=

Step-by-step explanation:

3x+4y=0

5x−3y=−58

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

3x+4y=0,5x−3y=−58

To make 3x and 5x equal, multiply all terms on each side of the first equation by 5 and all terms on each side of the second by 3.

5×3x+5×4y=0,3×5x+3(−3)y=3(−58)

Simplify.

15x+20y=0,15x−9y=−174

Subtract 15x−9y=−174 from 15x+20y=0 by subtracting like terms on each side of the equal sign.

15x−15x+20y+9y=174

Add 15x to −15x. Terms 15x and −15x cancel out, leaving an equation with only one variable that can be solved.

20y+9y=174

Add 20y to 9y.

29y=174

Divide both sides by 29.

y=6

Substitute 6 for y in 5x−3y=−58. Because the resulting equation contains only one variable, you can solve for x directly.

5x−3×6=−58

Multiply −3 times 6.

5x−18=−58

Add 18 to both sides of the equation.

5x=−40

Divide both sides by 5.

x=−8

The system is now solved.

x=−8,y=6

Coordinates are: (-8,6)

Graph:

7 0
3 years ago
The cylinder below has a volume of 4,239 cubic centimeters and a height of 6 centimeters.
Len [333]

Answer:

d ≈ 29.99 cm

Step-by-step explanation:

The volume of a cylinder can be calculated by the formula V = pi * r^2 * h.

V = pi * r^2 * h

We know the volume and the height, so we can use the formula to determine the radius, which can be used to determine the diameter.

4239 = pi * r^2 * 6    (I will add the units later    |    Divide both sides by 6)

706.5 = pi * r^2    (Divide both sides by pi)

706.5/pi = r^2    (Take the square root of both sides)

sqrt (706.5/pi) = r    (r is the radius)

r ≈ 14.99619733762023

The diameter will be double this value.

d ≈ 29.99239467524046

d ≈ 29.99 cm

4 0
3 years ago
Please help me w the equation and please don’t take advantage of the points.
svetoff [14.1K]

Answer:

y = 6x + 4

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 )

Here m = 6 and given point (0, 4 ) ⇒ c = 4

y = 6x + 4 ← equation of line

6 0
3 years ago
What is the value of the expression below when y = 7?<br> y2+ 5y + 6
Aleksandr-060686 [28]

90

Plug in 7 for x and solve.

{y}^{2}  + 5y + 6

{(7)}^{2}  + 5(7) + 6

49 + 35 + 6

90

3 0
3 years ago
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