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AleksAgata [21]
3 years ago
7

The first aircraft has 89 more seats than the second aircraft. The third aircraft has 31 fewer seats than the second aircraft. I

f their total number of seats is 418, find the number of seats for each aircraft.
Mathematics
1 answer:
Valentin [98]3 years ago
8 0

Answer:

I think number 1=209

number 2=120

number 3=89

Step-by-step explanation:

x= 1st aircraft

y=2nd aircraft

z=3rd aircraft

x=y+89

y=z+31

z=y-31

x+y+z=418

y+89+z+31+y-31=418

2y+89+z=418

2y+z=329

2y+(add z)

2y+y-31=329

3y=360

y=120

x=120+89=209

z=120-31=89

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...................................................................
Genrish500 [490]

Answer:

12 cm

Step-by-step explanation:

The Pythagorean Theorem is as follows:

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

A and B represent the side lengths (legs) and C represents the hypotenuse.

The length of one leg equals 5cm. (This can be represented by either a or b)

The hypotenuse equals 13 cm.

Plug these into the equation from above:

a^{2} + (5^{2}) = (13^{2})

Solve for the other leg:

   a^{2} + 25 = 169                          Square what's in the parentheses from above

a^{2} = 144\\                                  Subtract 25 from 169

\sqrt{a^{2} } = \sqrt{144}                            Square root both sides

a = 12 cm                        

Thus, the length of the other leg is 12 cm.

Let's check our answer:

12^{2} +5^{2} =13^{2}                        Square everything

144 + 25 = 169                      Add

169 = 169

Because both sides are equal it means that 12 cm is the correct answer.

Hope this helps!!

3 0
2 years ago
2) Shane puts aside $40 per week for his monthly car payment. He earns $320 per week.
ExtremeBDS [4]

Answer:

12.5%

Step-by-step explanation:

320 divided by 40 = 8

100 divided by 8 = 12.5

100% is 320 dollars, which means that 40 dollars is 1/8 of 320. And 1/8 of 100 is 12.5%

8 0
3 years ago
Did i do this right?
Sveta_85 [38]

Answer:

a) FALSE

Step-by-step explanation:

a) FALSE (it was translated from quadrant III to quadrant I)

b) TRUE

c) TRUE

d) TRUE

e) FALSE

8 0
3 years ago
Find the base and height
Nadusha1986 [10]

Answer:

not enough information I don't know what g=

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the solution of this system of linear equations?
creativ13 [48]

Answer: D

Step-by-step explanation:

Consider the first equation. Subtract 3x from both sides.

y−3x=−2

Consider the second equation. Subtract x from both sides.

y−2−x=0

Add 2 to both sides. Anything plus zero gives itself.

y−x=2

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

y−3x=−2,y−x=2

Choose one of the equations and solve it for y by isolating y on the left hand side of the equal sign.

y−3x=−2

Add 3x to both sides of the equation.

y=3x−2

Substitute 3x−2 for y in the other equation, y−x=2.

3x−2−x=2

Add 3x to −x.

2x−2=2

Add 2 to both sides of the equation.

2x=4

Divide both sides by 2.

x=2

Substitute 2 for x in y=3x−2. Because the resulting equation contains only one variable, you can solve for y directly.

y=3×2−2

Multiply 3 times 2.

y=6−2

Add −2 to 6.

y=4

The system is now solved.

y=4,x=2

6 0
3 years ago
Read 2 more answers
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