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Veseljchak [2.6K]
3 years ago
12

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation

3X -5 equals negative 2X +10
Mathematics
1 answer:
Andrej [43]3 years ago
3 0

Answer:

5x= 15

Step-by-step explanation:

Given

3x - 5 = -2x  +10

Required

Write the variables and constants on different sides

3x - 5 = -2x  +10

Add 2x to both sides

2x + 3x - 5 =2x -2x  +10

5x - 5 =10

Add 5 to both sides

5x - 5 + 5 = 10 + 5

5x= 10 + 5

5x= 15

Hence, the equation is

5x= 15

Solving further [divide both sides by 5]

x = 3

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Shtirlitz [24]

Reflecting over the x axis means to perform the following tranformation:

(x,y) \to (x,-y)

So, you maintain the x coordinate, and change the sign of the y coordinate. The vertices become

A=(-4, 4)\to \hat{A} = (-4,-4),\quad B=(-2, 3)\to \hat{B} = (-2,-3),\quad C=(0, 7) \to \hat{C}=(0,-7)

Translating 3 units to the left means to perform the following transformation:

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So, you maintain the y coordinate, and decrease the x coordinate by 3. The vertices become

\hat{A} = (-4,-4) \to (-7,-4),\quad \hat{B} = (-2,-3)\to (-5,-3),\quad \hat{C}=(0,-7)\to (-3,-7)

So, as you can see, after these two transformation, the vertices A, B and C become A', B' and C'.

4 0
3 years ago
The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for $20 each. If
alekssr [168]

Answer:

The inequality to represent the situation is 20x\geq 3000 and the team must sell at least 15 "Jaguar Cards".

Step-by-step explanation:

Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for \$20 each.

If the football team needs to raise at least \$3,000 for equipment.

To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.

Solution:

Let the ADMHS football team sold x "Jaguar Cards" for \$20 each.

Now, the football team needs to raise at least \$3,000 for equipment.

So, the inequality to represent the situation is 20x\geq 3000.

Now, on solving we get,

20x\geq 3000

\implies x\geq \frac{300}{20}

\implies x\geq 15

Hence, the inequality to represent the situation is 20x\geq 3000 and the team must sell at least 15 "Jaguar Cards".

4 0
3 years ago
The perimeter of a rectangular movie screen at a local cinema is 148 feet. If the length of the screen is 30 feet longer than th
Rudiy27

The perimeter of a rectangle = 2(l + w)

l = length

w = width

In this problem,

w = x

l = x + 30

the perimeter = 148

Let's plug our values into the perimeter formula above.

148ft = 2(x + x + 30ft)

Combine like terms.

148ft = 2(2x + 30ft)

Distribute the 2

148ft = 4x + 60

Subtract 60 from both sides

88ft = 4x

Divide both sides by 4

22ft = x

The width = x = 22ft

The length = x + 30 = 22 + 30 = 52ft

8 0
3 years ago
How much string would you need to go around the bottom of a hat shaped like a cone if the radius is 4 inches? (Use 3.14 for π)
Softa [21]

Answer:

25.12 inches

Step-by-step explanation:

To find the circumference or the perimeter of a circle it is the diameter times pi. (pi = 3.14) Or you can do radius times 2 times pi.

Answer is 4 times 2 times 3.14 which is 25.12

7 0
3 years ago
Samantha opened a savings account and deposited $200.00. The account earns 10% interest, compounded monthly. If she wants to use
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Answer:

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Step-by-step explanation:

6 0
3 years ago
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