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NeX [460]
4 years ago
7

Point of Intersect Algebraically

Mathematics
1 answer:
Elenna [48]4 years ago
8 0

Answer:

(

35

12

,

13

6

)

Step-by-step explanation:

−

2

x

+

8

=

2

x

5

+

1

y

=

x

(

2

5

)

+

1

Move all terms containing

x

to the left side of the equation.

Tap for more steps...

−

12

x

5

+

8

=

1

y

=

x

(

2

5

)

+

1

Move all terms not containing

x

to the right side of the equation.

Tap for more steps...

−

12

x

5

=

−

7

y

=

x

(

2

5

)

+

1

Multiply both sides of the equation by

−

5

12

.

−

5

12

⋅

(

−

12

x

5

)

=

−

5

12

⋅

−

7

y

=

x

(

2

5

)

+

1

Simplify both sides of the equation.

Tap for more steps...

x

=

35

12

y

=

x

(

2

5

)

+

1

Simplify each term.

Tap for more steps...

x

=

35

12

y

=

2

x

5

+

1

Replace all occurrences of

x

in

y

=

2

x

5

+

1

with

35

12

.

x

=

35

12

y

=

2

(

35

12

)

5

+

1

Simplify

2

(

35

12

)

5

+

1

.

Tap for more steps...

x

=

35

12

y

=

13

6

The solution to the system of equations can be represented as a point.

(

35

12

,

13

6

)

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Answer:

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Step-by-step explanation:

3 0
3 years ago
A town has a population of 14,000 and grows 5% every year. What will be the population after 14 years, to the nearest whole numb
hammer [34]

Answer:

23,800 people

Step-by-step explanation:

what is 5 % of 14,000- 700( 0.05 times 14,000)

700 times 14 is 9,800

9800 + 14000 is

0 0
4 years ago
For the rhombus below, find the measure of angles 1,2,3 and 4.
Alexus [3.1K]

Answer:

∠1 is 33°

∠2 is 57°

∠3 is 57°

∠4 is 33°

Step-by-step explanation:

First off, we already know that ∠2 is 57° because of alternate interior angles.

Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.

Then, you basically just do some other pain-in-the-butt things after.

Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.

Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.

57° + 90° = 147°

180° - 147° = 33°

∠1 is 33°

Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.

5 0
3 years ago
The color distribution of Skittles is the following: 10% blue, orange, and green each, 23.3333% yellow, red, and purple each. In
irina1246 [14]

Answer:

No

Step-by-step explanation:

Given that:

Percentage of blue, orange and green = 10%

Percentage of yellow, red and purple = 23.3333%

Number of skittles in bag by color :

Red = 137

Orange = 39

Yellow = 130

Green = 39

Blue = 43

Purple = 112

According to the color distribution :

Number of blue, orange and green should be the same and also number of yellow, red and purple skittles must be the same.

Total number of skittles :

(137 + 39 + 130 + 39 + 43 + 112) = 500

10% of the total = 0.1 * 500 = 50

Hence,

We should have 50 blue, orange and green skittles

23.33333% of total = 116.666 (about 117 skittles of yellow, red and purple color)

3 0
3 years ago
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