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saw5 [17]
3 years ago
8

7. Solve the equation. x + 3 = 3x - 7 A-10 B - 12 05 OD-2

Mathematics
2 answers:
VladimirAG [237]3 years ago
7 0

Answer:

C. x = 5

Step-by-step explanation:

x + 3 = 3x - 7

Add -3x and -3 on both sides.

x - 3x = -7 -3

Add or subtract like terms.

-2x = -10

Multiply -1 on both sides.

2x = 10

Divide 2 into both sides.

2x/2 = 10/2

x = 5

damaskus [11]3 years ago
5 0
The correct answer is C : 5

Step by step:

1. Subtract -3 on both sides and get x = 3x -10

2. Subtract 3x on both sides and get -2x= -10

3. Divide -2 on both sides and get x=5 as your answer!!
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Add [1/-4 3/5] [-2/6 -2/4]
brilliants [131]

Answer:

​25/138

Step-by-step explanation:

1 Convert 4\frac{3}{5}4

​5

​

​3

​​  to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

​c

​

​b

​​ =

​c

​

​ac+b

​​ .

\frac{1}{-(\frac{4\times 5+3}{5})}(-\frac{2}{6}-\frac{2}{4})

​−(

​5

​

​4×5+3

​​ )

​

​1

​​ (−

​6

​

​2

​​ −

​4

​

​2

​​ )

2 Simplify  4\times 54×5  to  2020.

\frac{1}{-(\frac{20+3}{5})}(-\frac{2}{6}-\frac{2}{4})

​−(

​5

​

​20+3

​​ )

​

​1

​​ (−

​6

​

​2

​​ −

​4

​

​2

​​ )

3 Simplify  20+320+3  to  2323.

\frac{1}{-(\frac{23}{5})}(-\frac{2}{6}-\frac{2}{4})

​−(

​5

​

​23

​​ )

​

​1

​​ (−

​6

​

​2

​​ −

​4

​

​2

​​ )

4 Simplify  \frac{2}{6}

​6

​

​2

​​   to  \frac{1}{3}

​3

​

​1

​​ .

\frac{1}{-(\frac{23}{5})}(-\frac{1}{3}-\frac{2}{4})

​−(

​5

​

​23

​​ )

​

​1

​​ (−

​3

​

​1

​​ −

​4

​

​2

​​ )

5 Simplify  \frac{2}{4}

​4

​

​2

​​   to  \frac{1}{2}

​2

​

​1

​​ .

\frac{1}{-(\frac{23}{5})}(-\frac{1}{3}-\frac{1}{2})

​−(

​5

​

​23

​​ )

​

​1

​​ (−

​3

​

​1

​​ −

​2

​

​1

​​ )

6 Find the Least Common Denominator (LCD) of \frac{1}{3},\frac{1}{2}

​3

​

​1

​​ ,

​2

​

​1

​​ . In other words, find the Least Common Multiple (LCM) of 3,23,2.

LCD = 66

7 Make the denominators the same as the LCD.

-\frac{1\times 2}{3\times 2}-\frac{1\times 3}{2\times 3}−

​3×2

​

​1×2

​​ −

​2×3

​

​1×3

​​

8 Simplify. Denominators are now the same.

-\frac{2}{6}-\frac{3}{6}−

​6

​

​2

​​ −

​6

​

​3

​​

9 Join the denominators.

\frac{-2-3}{6}

​6

​

​−2−3

​​

10 Simplify  -\frac{1}{3}-\frac{1}{2}−

​3

​

​1

​​ −

​2

​

​1

​​   to  -\frac{5}{6}−

​6

​

​5

​​ .

\frac{1}{-(\frac{23}{5})}\times \frac{-5}{6}

​−(

​5

​

​23

​​ )

​

​1

​​ ×

​6

​

​−5

​​

11 Move the negative sign to the left.

-\frac{1}{\frac{23}{5}}\times \frac{-5}{6}−

​

​5

​

​23

​​

​

​1

​​ ×

​6

​

​−5

​​

12 Invert and multiply.

-\frac{5}{23}\times \frac{-5}{6}−

​23

​

​5

​​ ×

​6

​

​−5

​​

13 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

​b

​

​a

​​ ×

​d

​

​c

​​ =

​bd

​

​ac

​​ .

-\frac{5\times -5}{23\times 6}−

​23×6

​

​5×−5

​​

14 Simplify  5\times -55×−5  to  -25−25.

-\frac{-25}{23\times 6}−

​23×6

​

​−25

​​

15 Simplify  23\times 623×6  to  138138.

-\frac{-25}{138}−

​138

​

​−25

​​

16 Move the negative sign to the left.

-(-\frac{25}{138})−(−

​138

​

​25

​​ )

17 Remove parentheses.

\frac{25}{138}

​138

​

​25

​​

7 0
2 years ago
Help me please I’m begging you:(
alex41 [277]

Answer:

Chips = 14

Pretzel = 14

Cookie = 8

Popcorn = 13

Question Mark = 222

Step-by-step explanation:

First Equation:

Chips + Pretzel + Chips = 42

Third Equation: Chips = Pretzel.

This means that

Pretzel + Pretzel + Pretzel = 42

Pretzel = \frac{42}{3} =14

Chips = Pretzel

Chips = 14

Second Equation:

Cookie + Chips + Cookie = 30

We know that Chips = 14.

Cookie + 14 + Cookie = 30

Subtract 14 on both sides:

Cookie + Cookie = 16

Cookie = 16\div 2 =8.

Fourth Equation:

Cookie + Cookie + Popcorn = 29

We know that Cookie = 8.

8 + 8 + Popcorn = 29

16 + Popcorn = 29

Subtract 16 on both sides:

Popcorn = 13.

Question Mark:

(Popcorn + Popcorn) \times Cookie + Chips = (13 + 13) \times 8 + 14 = 26 \times 8 + 14 = 208+14=222

6 0
2 years ago
Read 2 more answers
What is the approximate diameter of a sphere with a volume of 268cm3
kogti [31]

Answer:

diameter ≈15.6

Step-by-step explanation:

To solve this;

volume of a sphere = 4/3 πr³

From the question given;

volume of the sphere = 268    

lets substitute   and solve for r

volume of sphere = 4/3 πr³

268 = 4/3 × 3.14 × r³

268 =4.19 × r³

Divide both-side of the equation by 4.19

268/4.19 = r³

63.96 = r³

Take the cube root of both-side

∛63.96 = r

7.8 ≈ r

but diameter = 2r = 2×7.8 =15.6

8 0
3 years ago
(11,2) m-7 how do you write in slope form
lara31 [8.8K]

Answer:

y=7x-75

Step-by-step explanation:

use poiint slope formula

8 0
3 years ago
When Mr. Woodard preheated his oven, the oven's temperature rose 3 degrees in 1/6 of a minute. At that rate, how much will the o
Murljashka [212]

Given:

Oven's temperature rose 3 degrees in \dfrac{1}{6} of a minute.

To find:

How much will the oven heat up in 1 minute at that rate?

Solution:

According to the question,

Oven's temperature rose in \dfrac{1}{6} of a minute =3 \text{ degrees}

Oven's temperature rose in 1 minute =6\times 3 \text{ degrees}

                                                             =18 \text{ degrees}

Therefore, the oven's will heat up 18 degrees in 1 minute.

4 0
3 years ago
Read 2 more answers
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