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Alinara [238K]
3 years ago
14

Someone help me solve this expression please

Mathematics
2 answers:
tresset_1 [31]3 years ago
7 0

Answer:

46

Step-by-step explanation:

We are asked to evaluate the expression. Remember to solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

6+4 * (3+7)

Solve inside the parentheses. Add 3 and 7.

⇒3+7=10

6+4*(10)

Multiply 4 and 10.

⇒4*10=40

6+40

Add 6 and 40.

⇒6+40=46

46

When the expression 6+4*(3+7) is evaluated, the result is 46.

Alex3 years ago
6 0

Step-by-step explanation:

To solve, we have to remember PEMDAS (Parenthesis, Exponent, Multiply / Divide, Add or Subtract).

Here, the curly brackets act as parenthesis, so we solve that first.

• 3 + 7 = 10

Then, we multiply by 4.

• 10 • 4 = 40

Finally, we add 6 to 40.

• 40 + 6 = 46.

Our final answer: 46

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sergiy2304 [10]

Answer:

  • x = 1/2

Step-by-step explanation:

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8 0
3 years ago
35. the set, s consists of 900,000,000 whole numbers, each being the same number of digits long. howmany digits long is a number
weeeeeb [17]

Answer:

  • 9 digit long

Let the number of digits be n and the number of elements in set be s.

<h3>When n = 1</h3>
  • The set contains 1-digit numbers, 1 through 9,
  • The set consists of 10 - 1 = 9 numbers.

<h3>When n = 2</h3>
  • The set contains 2-digit numbers, 10 through 99,
  • The set contains 100 - 10 = 90 numbers.

<h3>When n = 3</h3>
  • The set contains 3-digit numbers, 100 through 999,
  • The set contains 1000 - 100 = 900 numbers.

The pattern we see helps us determine the relationship between s and n as follows.

When set contains n-digit numbers, the set contains:

  • s = 10ⁿ - 10ⁿ⁻¹ = 10ⁿ⁻¹(10 - 1) = 9*10ⁿ⁻¹ elements

We have s known, substitute it into equation above and solve for n:

  • 900000000 = 9*10ⁿ¹
  • 100000000 = 10ⁿ⁻¹
  • 10⁸ = 10ⁿ⁻¹
  • n - 1 = 8
  • n = 9

The numbers in the set s are 9-digit long.

4 0
2 years ago
PQRS is a parralelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j. find the position vector of P
g100num [7]

The value of the variable x = 6 and y = 5. Then the position vector of P will be 6i + 5j.

<h3>What is the equation of a line passing through two points?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

PQRS is a parallelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j.

Then the point of Q, R, and S will be (5, 7), (-3, -8), and (-4, -6).

Let the point P be (x, y).

We know that the slope of the line QS and PQ will be same and line is passing through (-3, -8).

y = 1.444x + C

-8 = 1.444 (-3) + C

C = -3.667

Then the equation will be

y = 1.444x – 3.667  …1

The slope of the line PQ and RS will be same and line is passing through (5, 7).

y = -2x + D

7 = -2 (5) + D

D = 17

Then the equation will be

y = -2x + 17  …2

By solving equation 1 and 2, we have

x = 6 and y = 5

Then the position vector of P will be

⇒ 6i + 5j

The graph is given below.

Learn more about straight-line equations here:

brainly.com/question/380976

#SPJ1

6 0
2 years ago
What is the slope of the line that passes through-4 7 and -6 -4
nasty-shy [4]

Answer:

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Step-by-step explanation:

The slope (m) between two points is given by the formula ...

   m = (y2 -y1)/(x2 -x1)

   m = (-4 -7)/(-6 -(-4)) = -11/-2 = 5.5

The slope of the line through the given points is 5.5.

7 0
4 years ago
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REY [17]

Two solutions were found : x = 5; x = -2. Reformatting the input : Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". Rearrange: Rearrange the equation bAnswer:

Step-by-step explanation:Two solutions were found : x = 5; x = -2. Reformatting the input : Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". Rearrange: Rearrange the equation b

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