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Katen [24]
3 years ago
10

Which statement is true about the equations –3x + 4y = 12 and x – y = 1?

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0
-3x + 4y = 12
x - y = 1....x = y + 1

-3(y + 1) + 4y = 12
-3y - 3 + 4y = 12
-3y + 4y = 12 + 3
y = 15

x - y = 1
x - 15 = 1
x = 1 + 15
x = 16

one solution (16,15)

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Answer:

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2 years ago
PLEASE HELP!
IrinaVladis [17]

Answer:

Step-by-step explanation:

<h3>Sphere:</h3>

1) a) r =  7 cm

 \sf \boxed{\text{Volume of sphere=$\dfrac{4}{3}\pi r^3$}}

                             \sf =\dfrac{4}{3}*3.14*7*7*7\\\\= 1436 \ cm^3

 \sf \boxed{\text{\bf Surface area of sphere = $4\pi r^2$}}

                                           = 4*3.14 * 7 * 7

                                           = 615.44 cm²

b) r= 8.4 cm

     Volume = \dfrac{4}{3}\pi r^3

                  \sf =\dfrac{4}{3}*\dfrac{22}{7}*8.4*8.4*8.4\\\\= 2483.7 \ cm^3

   Surface area = 4*3.14*8.4*8.4

                         = 887.04 cm²

<h3>Hemisphere:</h3>

      a) r = 6 cm

     \sf \boxed{\text{\bf Volume of hemisphere =$\dfrac{2}{3} \pi r^3$}}

                                                \sf =\dfrac{2}{3}*3.14*6*6*6\\\\= 452.16 \ cm^3

        \sf \boxed{\text{\bf Surface area of hemisphere=3 \pi r^2}}\sf \boxed{\text{\bf Surface area of hemisphere = $3 \pi r^2$}}

                                                            = 3 * 3.14 * 6 * 6

                                                             = 339.12 cm²

                                                           

                       

3 0
2 years ago
Saiah Copeland sells tennis equipment. He is guaranteed a minimum monthly salary of $1,500 per month plus 5.75% of his total sal
torisob [31]

Answer:

Total sales= 10000

Step-by-step explanation:

Given data

monthly salary=$1500

commission on total sales= 5.75%

gross pay=$2,075

Firstly, let us deduct the salary

2075-1500=$575

so Saiah earned a commission of $575

let the total sales be x

so 5.75% of x= $575

5.75/100*x=576

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6 0
3 years ago
Unit 1 geometry basics quiz 1-3 angle measures and relationships
ASHA 777 [7]

Answer/Step-by-step explanation:

1. Side CD and side DG meet at endpoint D to form <4. Therefore, the sides of <4 are:

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3. Another name for <3 is <EDG

4. <5 is less than 90°. Therefore, <5 can be classified as an acute angle.

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159° = m<CDF

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7. m<3 = 73°

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73° + m<FDE = 90° (Substitution)

73° + m<FDE - 73° = 90° - 73°

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