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Schach [20]
3 years ago
5

What is the ratio of 6 nickles to 3 dollars

Mathematics
2 answers:
sashaice [31]3 years ago
7 0
<span>so quarters to nickels would be 4:20. simplified is 1:5</span>
masya89 [10]3 years ago
4 0

There are a few ways to represent ratio. Since 6 nickels comes first in the statement, it will come first in the ratio, and 3 dollars will come second since it comes second in the statement.

You can express ration with a / sign, a : sign, and the word to. So, your ratio would look like this:

6/3

6:3

6 to 3

Hope this helps!

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Select all angles that MUST be supplementary to 9
erastova [34]

Answer:

Angles supplementary to angle 9 = Angle <u>10</u>, <u>7</u>, <u>5</u>, <u>1</u>, <u>4</u>, <u>3</u>, <u>15</u>, <u>12</u>, <u>24</u>, <u>22</u>, <u>20</u>, <u>19</u>, and angle <u>16</u>.

Step-by-step explanation:

Use the vertical, and corresponding angles theorem to find congruent angles.

Look for linear pairs (adjacent(next to each other, or share a side) angles that make 180° or a straight angle) from the corresponding angles.

Something is supplementary if it adds to 180 degrees.

The vertical angles theorem states that pairs of opposite angles made by interesecting lines are congruent.

The corresponding angles theorem states that corresponding or angles relative to the same position are congruent if the transversal crosses at least 2 parallel lines.

6 0
3 years ago
The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.
Tema [17]

Answer:

2 \frac{1}{16}

Step-by-step explanation:

The question state that;  the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

First, we need to interpret and represent this statement mathematically

Let n be the number.

The sum means 'addition'

1/6 of that number is  1/6 of n = 1/6 × n  = \frac{n}{6}

2 1/2 of that number is 2 1/2 of n = 2 1/2 × n  = 5/2 × n = \frac{5n}{2}

So the question says that, when we add; \frac{n}{6} ,  \frac{5n}{2}  and 7 all together, the value is 12 1/2

That is;

\frac{n}{6}  + \frac{5n}{2} + 7 = 12 1/2

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}         ( changing 12 1/2 to improper fraction will give  \frac{25}{2} )

So we can now go ahead and solve for n

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}  

subtract 7 from both-side of the equation

\frac{n}{6}  + \frac{5n}{2}   =  \frac{25}{2}   -   7

\frac{n + 15n}{6}  =   \frac{25 -14}{2}

\frac{16n}{6}      =    \frac{11}{2}

\frac{16n}{6}  can be reduced to give us \frac{8n}{3}

\frac{8n}{3}   =   \frac{11}{2}

Cross multiply

8n × 2  = 11× 3

16n = 33

Divide both-side of the equation by 16

\frac{16n}{16}    =   \frac{33}{16}

(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while  on the right-hand side of the equation 33 will be divided by 16)

n =  \frac{33}{16}     = 2\frac{1}{16}

Therefore the number is  2\frac{1}{16}

5 0
3 years ago
The equation of a parabola is 116(y+3)2=x+4 . What are the coordinates of the focus? (0, −3) (−8, −3) (−4, −7) (−4, 1)
Temka [501]
Did you get the answer yet
6 0
3 years ago
Read 2 more answers
EFGH is an isosceles trapezoid. If EH=4x-27 and FG=x+9, find the value of x.<br> PLEASE HELP ASAP!
djyliett [7]

Answer:

If EFGH is an isosceles trapezoid,

if

EH=4x-27+

FG=x%2B9+

EG=3y%2B19

FH=11y-21

then EH=FG and EG=FH

set up equations:

4x-27=x%2B9 .......solve for x

4x-x=27%2B9

3x=36

x=36%2F3

3y%2B19=11y-21.......solve for y

11%2B19=11y-3y

30=8y

y=30%2F8

y=15%2F4

y=3.75

so,x=12    and y=3.75

you can also check the length of equal sides and equal diagonals:

EH=4%2A12-27+=21

FG=12%2B9+=21

EG=3%283.75%29%2B19=30.25

FH=11%283.75%29-21=30.25x=12

Step-by-step explanation:

5 0
3 years ago
Find the missing side length leave your answers as radicals in the simplest form.
ira [324]

Answer:

Part 1) x=\frac{10\sqrt{3}}{3}\ units

Part 2) y=5\ units

Step-by-step explanation:

step 1

Find the value of x

In the right triangle of the figure

sin(30^o)=\frac{(5\sqrt{3}/3)}{x} ---> opposite side angle of 30 degrees divided by the hypotenuse

Remember that

sin(30^o)=\frac{1}{2}

substitute

\frac{1}{2}=\frac{(5\sqrt{3}/3)}{x}

solve for x

x=\frac{5\sqrt{3}}{3}(2)

x=\frac{10\sqrt{3}}{3}\ units

step 2

Find the value of y

In the right triangle of the figure

cos(30^o)=\frac{y}{x} ---> adjacent side angle of 30 degrees divided by the hypotenuse

we have

x=\frac{10\sqrt{3}}{3}\ units

cos(30^o)=\frac{\sqrt{3}}{2}

substitute

\frac{\sqrt{3}}{2}=\frac{y}{\frac{10\sqrt{3}}{3}}    

y=(\frac{\sqrt{3}}{2})(\frac{10\sqrt{3}}{3})

y=5\ units

4 0
3 years ago
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