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Blizzard [7]
3 years ago
10

hot dog buns are sold in packages of 8 and 12. taro bought 192 total buns for a party. This is represented by the function 8x +

12y = 192

Mathematics
1 answer:
Lelu [443]3 years ago
6 0
Here is the graphical representation of the function you provide.

You can see the the points in which the line intersects each axis.

Every point in the line is a possible option for which hot dog package was bought.

For example, Taro might have bought 0 of the packages of 8, and 16 packages of 12.

or He might've bought zero packages of 12, and 24 packages of 8.

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I would like you to help me with that since I do not understand very well please ​
JulijaS [17]

When you see the symbol "△", this denotes a triangle. Now combine the symbol with the letters FGH, this becomes △FGH, meaning a triangle FGH, with F, G, and H as the three points.

Now, the symbol "∠" means angle and "m∠" means the measure of an angle. So m∠F means the angle at the point F, m∠G means the angle at the point G, and m∠H means the angle at the point H. (I'll attach a diagram of this triangle).

Now we have to determine m∠H, which is the angle at point H. To do that, we have to find the value of x. To do that, we have to use one of the laws of a triangle, which is:

The sum of angles in a triangle = 180°. This means when we add all the angles in a triangle, it sums up to 180°. Let's do that.

\angle F + \angle G + \angle H = 180\textdegree \\\angle F = (5x - 6)\textdegree, \angle G = (3x + 16)\textdegree, \angle H = (x + 8)\textdegree \\(5x - 6) + (3x + 16) + (x + 8) = 180\\5x + 3x + x - 6 + 16 + 8 = 180\\9x + 18 = 180\\9x = 180 - 18\\9x = 162\\x = 18\textdegree

Now that we have found the value of x as 18°, we can substitute its value to determine the angle H.

m\angle H = (x + 8), x = 18\\m\angle H = 18 + 8\\m\angle H = 26\textdegree

I hope you understand the explanation.

8 0
3 years ago
Riley rides his bicycle 1.8 km to Jillian’s house. On the way back, he takes a route that is 740 m shorter than the first route.
postnew [5]
1.8 km >> 1,800 m
1,800 - 740 = 1,060 m
1,060 m >> 1.06 km
The shorter route is 1.06 km.
7 0
3 years ago
Read 2 more answers
The chart below shows conversion between kilometers and miles.
Feliz [49]

Answer:

12

Step-by-step explanation:

1.2 divided by 2 is 0.6 and you want to know how much twenty is bc thats the whole point of the question lol

but anyway multiply 0.6 and 20 to get 12

yw

6 0
4 years ago
Read 2 more answers
An article is reduced by 12% find the sales price of an article is the normal price is 20,000​
nydimaria [60]

Answer:

The sales price is $19,976

Step-by-step explanation:

12 percent of 20000 is 24. 20000-24=19976

3 0
3 years ago
A gym charges a one-time registration fee as well as a monthly fee. The cost of joining the gym for 4 months is $370, and the co
Anna007 [38]
x-\ registration\ fee\\
y-\ monthly\ fee\\\\
 \left \{ {{x+4y=370} \atop {x+6y=530\ \ |*(-1)}} \right. \\\\
 \left \{ {{x+4y=370} \atop {-x-6y=-530}} \right. \\+-----\\Addition\\\\
-2y=-160\ \ | divide\ by\ -2\\
y=80\\\\
x=370-4y=370-4*80=370-320=50\\\\
Registration\ fee\ is\ equal\ to\ 50\$\ and\ monthly\ fee\ is\ equal\ to\ 80\$.

8 0
3 years ago
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