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3 years ago

How do i solve thus equation 7+5(x-2)=12

Mathematics

2 answers:

Usimov [2.4K]3 years ago

7 0

Answer:

x = 3

Step-by-step explanation:

The goal of solving this equation is finding the value of the variable, "x". To do that, we need to get x alone on one side of the equation.

Our first step is to Combine Like Terms.

$(7+5)(x-2)=12\\\\12(x-2)=12$

Next, Divide 12 from both sides of the equation.

$12(x-2)=12\\\\\frac{12(x-2)}{12}=\frac{12}{12}\\\\x-2=1$

Finally, Add 2 to both sides of the equation.

$x-2=1\\\\x-2+(2)=1+(2)\\\\x=3$

So, x is equal to 3.

ycow [4]3 years ago

3 0

Answer: x=3

Step-by-step explanation:

7+5(x-2)=12

Open bracket

7+5x-10=12

Collect like terms

5x-3=12

5x=12+3

5x=15

X=15/5

X=3

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The mean of Alice's last 5 math test scores is 88. The first 4 of these 5 math test scores were 87, 75, 93, and 85. What score d

stiks02 [169]

Answer:

Step-by-step explanation:

x is the score she got on the fifth test.

Since her average score is 88, the sum of all five tests is 5×88.

x + 87 + 75 + 93 + 85 = 5×88 = 440

x = 440 - 87 - 75 - 93 - 85

x = 100

She got a 100 on her fifth test.

6 0

2 years ago

The triangle on the grid will be translated two units left. On a coordinate plane, triangle A B C has points (negative 1, negati

nignag [31]

Answer:

Option B.

Step-by-step explanation:

The given vertices of triangle ABC are (-1, -1), (-1, -5) and (0.5, -5).

We need to find the coordinates of triangle when it is translated two units left.

So, the rule of translation is

$(x,y)\rightarrow (x-2,y)$

Using this rule, we get

$A(-1,-1)\rightarrow A'(-1-2,-1)=A'(-3,-1)$

$B(-1,-5)\rightarrow B'(-1-2,-5)=B'(-3,-5)$

$C(0.5,-5)\rightarrow C'(0.5-2,-5)=C'(-1.5,-5)$

The vertices of triangle A'B'C' are A'(-3,-1), B'(-3,-5) and C'(-1.5,-5).

Therefore, the correct option is B.

8 0

3 years ago

Read 2 more answers

Dave has 10 poker chips, 6 of which are red and the other 4 of which are white. Dave likes to stack his chips and flip them over

Marina86 [1]

The number of 10 chips stacks that Dave can make if two stacks are not considered distinct is 110.

The solution

To get the symmetric stacks, one has to subtract the symmetric stacks to know the ones that are asymmetric.

The symmetric are flipped. Given that they are double counted what we have to do is to divide through by 2.

6/2 = 3

10/2 = 5

4/2 = 2

1/2(10C6) - (5C3) + (5C3)

0.5(210-10+10)

= 110

8 0

2 years ago

What is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth?

LuckyWell [14K]

Answer:

The length of the pendulum is 14.13 meters.

Step-by-step explanation:

The length of a pendulum is given by the formula, $T = 2\pi \sqrt{\frac{L}{g} }$ , where T is the times period and L is the length of the pendulum.

Now, given that T = 2.4π seconds.

So, from the above equation, we get,

$2.4\pi = 2\pi \sqrt{\frac{L}{g} }$

⇒ $\sqrt{\frac{L}{g}} = 1.2$

⇒ $\frac{L}{g} = 1.44$ {We have the value of g as 9.81 m/sec²}

⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)

Therefore, the length of the pendulum is 14.13 meters. (Answer)

3 0

3 years ago

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up. The

Nikolay [14]

The length of the ladder nearest hundredth of a foot is 23 feet.

We have given that,

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up.

The ladder makes an angle of $77^{\circ}$ the ground.

<h3>What is the sin ratio?</h3>

$sin(\theta)=\frac{perpendicular \ side}{hypotenous}$

Therefore we get,

$\implies\frac{22}{H} =sin(77)$

$\implies H=22/sin(77)$

$\implies 22.59ft\\\\=23ft$

Therefore, The length of the ladder nearest hundredth of a foot is 23 feet.

To learn more about the trigonometric ratio visit:

brainly.com/question/24349828

#SPJ1

7 0

2 years ago