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Lilit [14]
2 years ago
7

52 = 1/2x + 15 - 3.25x - 7please show step by step !! ​

Mathematics
1 answer:
Mariulka [41]2 years ago
8 0

Answer:

x = -16

Step-by-step explanation:

52= 1/2x+15−3.25x−7

Combine 1/2x and −3.25x to get −11/4 x.

52= −11/4x+15−7

Subtract 7 from 15 to get 8.

52=−11/4x+8

Swap sides so that all variable terms are on the left hand side.− 11/4x+8=52

Subtract 8 from both sides.

− 11/4x=52−8

Subtract 8 from 52 to get 44.

−11/4 x=44

Multiply both sides by − 4/11

​ the reciprocal of − 11/4

​x=44(−4/11)

​Express 44(−4/11 ) as a single fraction.

x= 44(−4)

​Multiply 44 and −4 to get −176.

x= −176/11

​Divide −176 by 11 to get −16.

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Mr. Johnson currently has a square garden. He wants to redesign his garden and make it into a rectangle with a length that is 5
AlekseyPX

Answer:

Width of the rectangle = 10 feet

Length of the rectangle = 25 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width of the rectangle = x feet

Length of the rectangle = 3x - 5 feet

Perimeter of the rectangle = 70 feet

Perimeter of a rectangle = 2(length + width)

70 = 2{x + (3x - 5)}

70 = 2{x + 3x - 5}

70 = 2(4x - 5)

70 = 8x - 10

70 + 10 = 8x

80 = 8x

Divide both sides by 8

x = 80 / 8

= 10

Width of the rectangle = 10 feet

Length of the rectangle = 3(10) - 5

= 30 - 5

= 25 feet

6 0
2 years ago
Please help me :):)):):
Verdich [7]

Answer:

12

Step-by-step explanation:

5^2 + b^2 = 13^2

25 + b^2 = 169

169-25= 144

take the square root of 144

answer: 12

3 0
2 years ago
triangle abc has vertices at a(-2 3),B(0,3),c(-1,-1). Find the coordinates of the image after a reflection over the x-axis.
Crazy boy [7]

The new coordinates of the triangle after reflection from x-axis would be  A(-2, -3) , B(0, -3) and C( -1, 1 )

<u>Explanation:</u>

The vertices of the triangle are A(-2 3), B(0,3), C(-1,-1)

The reflection is over the x-axis.

When the reflection is along the x-axis, the coordinates of x does not change. However, the coordinates of y does change.

The negative value of y becomes positive and the positive value of y becomes negative.

Similarly,

A(-2, 3) would become A(-2, -3)

B(0, 3) would become B(0, -3)

C(-1, -1) would become C( -1, 1 )

Therefore, the new coordinates of the triangle after reflection from x-axis would be  A(-2, -3) , B(0, -3) and C( -1, 1 )

6 0
3 years ago
(4.3 * 10-3)(2 x 10-2)​
FinnZ [79.3K]

<em>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</em>

<em>➷ </em>(4.3\cdot10-3)(2\cdot 10-2)<em />

<em>➷ </em>= (43 - 3)((2) (10) -2)<em />

<em>➷ </em>= 40 ((2) (10)-2)<em />

<em> ➷ </em>= 40(20 - 2)<em />

<em> ➷ </em>= (40)(18)<em />

<em> ➷ </em>= 720<em />

<em>✽</em>

<em>➶ Hope This Helps You!</em>

<em>➶ Good Luck (:</em>

<em>➶ Have A Great Day ^-^</em>

<em>↬ May ♡</em>

<em />

3 0
3 years ago
Read 2 more answers
If in a right triangle, the given legs are a = 10 and b=16, then by using the Pythagorean Theorem find the hypotenuse, c.
Reika [66]

Answer:

c=2\sqrt{89}

Step-by-step explanation:

Pythagorean theorem is:

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

c^{2}=10^{2}+16^{2}   \\c^{2} =100+256\\c^{2}=356\\c=\sqrt{356}  \\c=2\sqrt{89}

3 0
3 years ago
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