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bezimeni [28]
3 years ago
6

How many solutions does the equation 3x+15=2x+10+x+5 have

Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

Answer:12

Step-by-step explanation:

Simplifying

3x + 15 = 2x + 10 + x + 5

Reorder the terms:

15 + 3x = 2x + 10 + x + 5

Reorder the terms:

15 + 3x = 10 + 5 + 2x + x

Combine like terms: 10 + 5 = 15

15 + 3x = 15 + 2x + x

Combine like terms: 2x + x = 3x

15 + 3x = 15 + 3x

Add '-15' to each side of the equation.

15 + -15 + 3x = 15 + -15 + 3x

Combine like terms: 15 + -15 = 0

0 + 3x = 15 + -15 + 3x

3x = 15 + -15 + 3x

Combine like terms: 15 + -15 = 0

3x = 0 + 3x

3x = 3x

Add '-3x' to each side of the equation.

3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 0

Solving

0 = 0

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Can someone please help me with this? Right answer gets brainliest!!
Kipish [7]

Answer:

Part 1: y= 49

Part 2: y=12

Step-by-step explanation:

Part 1: The y is going up by 7, so if you add 7 to 42, you get 49

Part 2: The y is going up by 4, so if you add 4 to 8, you get 12

8 0
3 years ago
FIND THE SURFACE AREA OF THE FIGURE BELOW, PLEASE HELP AND SHOW WORK
Goshia [24]

Answer:

247.21

Step-by-step explanation:

equation for height :  c= a2 + b2

4.82 + 9.32

≈10.46566

equation for surface area: A=5 /4tan(54°)a2+5a /2h2+(atan(54°) /2)2

5 /4·tan(54°)·72+5·7 /2·7.972+(7·tan(54°) /2)2

≈247.21018

round to nearest hundredth: 247.21

4 0
3 years ago
What is the equation of a line in slope intercept form that is perpendicular to y=2/3x+2 and passes through the points (-2,2)? H
JulijaS [17]

Answer:

y = -\frac{3}{2}x -1

Step-by-step explanation:

Given

Perpendicular to y = \frac{2}{3}x + 2

Pass through (-2,2)

Required

Determine the line equation

First, we need to determine the slope of y = \frac{2}{3}x + 2

An equation is of the form:

y = mx + b

Where

m = slope

In this case:

m = \frac{2}{3}

Next, we determine the slope of the second line.

Since both lines are perpendicular, the second line has a slope of:

m_1 = \frac{-1}{m}

m_1 = \frac{-1}{2/3}

m_1 = -\frac{3}{2}

Since this line passes through (-2,2); The equation is calculated as thus:

y - y_1 = m_1(x - x_1)

Where

(x_1,y_1) = (-2,2)

This gives:

y - 2 = -\frac{3}{2}(x - (-2))

y - 2 = -\frac{3}{2}(x +2)

y - 2 = -\frac{3}{2}x -3

Add 2 to both sides

y - 2+2 = -\frac{3}{2}x -3 + 2

y = -\frac{3}{2}x -1

8 0
3 years ago
Simplify 7/10 - 1/10
RSB [31]

Answer:3/5

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
What is:<br> 2 x^4-x^2+3x+1 ÷ x^2+2x+2
Inessa [10]
Your answer is: 2x^6-x^4+5x^3+2x^2+1\x^2
6 0
4 years ago
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