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Alinara [238K]
3 years ago
14

0.01x - 0.3y = 1

Mathematics
2 answers:
dusya [7]3 years ago
8 0

Answer:

x-30y=100 and 10y=x-20

Step-by-step explanation:


Sveta_85 [38]3 years ago
7 0

Answer:


Step-by-step explanation:

0.01x−0.3y=1;y=0.1x−2

Rewrite equations:

y=0.1x−2;0.01x−0.3y=1

Step: Solvey=0.1x−2for y:

y=0.1x−2

Step: Substitute0.1x−2foryin0.01x−0.3y=1:

0.01x−0.3y=1

0.01x−0.3(0.1x−2)=1

−0.02x+0.6=1(Simplify both sides of the equation)

−0.02x+0.6+−0.6=1+−0.6(Add -0.6 to both sides)

−0.02x=0.4

−0.02x

−0.02

=

0.4

−0.02

(Divide both sides by -0.02)

x=−20

Step: Substitute−20forxiny=0.1x−2:

y=0.1x−2

y=(0.1)(−20)−2

y=−4(Simplify both sides of the equation)

Answer:

x=−20 and y=−4

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A boat sails 20 miles wast of the port and then 15 miles south to an island how far is the boat from the port if you measure thr
sweet-ann [11.9K]

Answer:

25 miles

Step-by-step explanation:

Given: A boat sail 20 miles west of the port and then 15 miles south to an island.

Picture attached.

The distance from port to island could be measured in a straight line. It will form a hypotenous.

∴ we can use Pythogorean theorem to find the distance.

h^{2} = a^{2} +b^{2}

Where, "a" is adjacent= 20 miles and "b" is opposite= 15 miles.

h^{2} = 20^{2} +15^{2}

⇒ h^{2} = 400+225= 625

⇒h^{2} = 625

⇒h= \sqrt{625}= \sqrt{25^{2} }

We know \sqrt{x^{2} } = x.

∴h= 25\ miles

∴ Distance of Port from the Island is 25 miles.

6 0
3 years ago
Which equation is equivalent to the given equation?
madam [21]

Answer:

x² - x - 12 = 0

Step-by-step explanation:

0 = -x² + x + 12

→ Add x² to both sides

x² = x + 12

→ Minus x from both sides

x² - x = 12

→ Minus 12 from both sides

x² - x - 12 = 0

4 0
2 years ago
the diameter of a circle is 12yd. find the exact area and circumference of the circle. write your answers in terms of pie
Scorpion4ik [409]

So,

The area of a circle is A = \pi *radius^{2} \\and\\Radius = Diameter \div 2\\\\So\\A = \pi * 6^2\\\\A = 36\pi


For Circumfrence


C = \pi * diameter\\C = 12\pi

3 0
3 years ago
Which is a graph for the inequality m < -2 ?
aliya0001 [1]

Answer:

B

Step-by-step explanation:

This answer shows values of -2, and less than -2

6 0
3 years ago
Solve x4 - 34x2 = -225
RSB [31]

Answer:

x= -5,5 and -3,3

6 0
3 years ago
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