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Fudgin [204]
4 years ago
5

(05.02 MC) A system of equations is shown below: 4x = −3y + 17 3x − 4y = −6 What is the solution to this system of equations? (−

2, −3) (3, 2) (2, 3) (−3, −2)
Mathematics
2 answers:
aliina [53]4 years ago
5 0
4x=-3y+17 becomes 4x+3y=17

4x+3y=17
3x-4y=-6

alrighty

elimination

muliply first equation by 4 and 2nd by 3 and add them
16x+12y=68
9x-12y=-18
add them

25x+0y=50
25x=50
idivide both sides by 25
x=2

sub back

3x-4y=-6
3(2)-4y=-6
6-4y=-6
-4y=-12
y=3

(x,y)
(2,3)
ASHA 777 [7]4 years ago
5 0

Answer:

(2,3)

this is the right answer i took this test and got it right

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Gideon is painting all sides of a square pyramid-shaped decoration at the top of his fence post. A net of the decoration is show
frez [133]
Gideon is painting all sides thus we find the overall area of the square pyramid given in the picture. A square pyramid is a polyhedron that consists of a square and 4 triangles. To solve the area that Gideon will have to paint, we can calculate the area of the square and the area of the triangles then add these two values of area. We proceed as follows:
Area of the square = s^2 where s is the measure of the side
Area of the square = 4^2 = 16 in^2

Area of the triangle= 1/2 bh where b is the base of the triangle and h is height of the triangle
Area of the triangle = 1/2 (4) (5) = 10 in^2
We multiply the area of the triangle to four in order to obtain the total area of the triangles.
Total area of the triangles = 4 x 10 = 40 in^2

We then add the two areas,
Total Area = 16 + 40 = 56 in^2

Thus the total area that Gideon will have to paint for one square pyramid is 56 in^2.
6 0
3 years ago
Write a variable expression to represent the phrase a number times 8
Nat2105 [25]
A number (we will call X) times 8 Is 8x
4 0
3 years ago
Cindy is at a baseball game with her younger brother, Mike. She has $18 to spend on hamburgers and pop. Hamburgers cost $3 each
g100num [7]

Answer:

6 hamburgers.

9 pops.

Step-by-step explanation:

18 divided by 3 = 6

18 divided by 2 = 9

4 0
3 years ago
Read 2 more answers
Mr mehra spends 30% of his income in food 10% on charity 25% and is left with 15750 what is his salary? find his savings
nalin [4]

Answer:

Mr mehra's salary is 26250

Step-by-step explanation:

suppose,

Mr mehra's salary is x

so,

He spends in food = 30% of x

                               =(30/100) . x      [x%=x/100]

                                = 30x/100

                                =3x/10

He spends in charity =10% of x

                                    =10x/100

                                    =x/10

Money left = 15750

so,

x = 3x/10 + x/10 +  15750

⇒x - 3x/10 - x/10 = 15750

⇒(10x-3x-x) /10 = 15750

⇒6x/10 = 15750

⇒6x=157500

⇒x = 157500/6

⇒x = 26250

∴Mr mehra's salary is 26250

5 0
3 years ago
What is the measure of the smallest interior angle of the hexagon shown?
yan [13]
<h3>Answer:  C) 70 degrees</h3>

=========================================================

Explanation:

We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees

Lets add up the angles, set the sum equal to 720 and solve for x

x+2x+115+2x+115+2x = 720

7x+230 = 720

7x = 720-230

7x = 490

x = 490/7

x = 70

This makes angle 2x = 2*70 = 140 degrees

We see that x = 70 is the smallest angle, so that's why C is the answer.

7 0
3 years ago
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