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3 years ago

Solve the equation 3x + 4y =16 for x

Mathematics

1 answer:

Greeley [361]3 years ago

5 0

Answer:

x=3

Step-by-step explanation:

3x +4y=16 for x

4y=16-3x

4y=13x

4 4

x=3

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Give one example of when you would use the friendly numbers strategy to subtract. Explain why.

ziro4ka [17]

In the addition process this usually involves:

rounding numbers up to the nearest multiple of 10 or 100 subtracting the extras that were added at the end.

In the subtraction process this usually involves subtracting too much and completing the calculation by putting some back.

6 0

3 years ago

Read 2 more answers

A || b what’s the value of X?

Anna007 [38]

<h3>Answer:</h3>

The value of x is 17.

<h3>Step-by-step explanation:</h3>

We know that the lines are parallel because it is given that:

a ∥ b

Now, let's form an equation.

=> 2x + 5 + 8x + 5 = 180

Let's solve!

=> 10x + 10 = 180
=> 10x = 170
=> x = 17

Hence, the value of x is 17.

$BrainiacUser1357$

4 0

3 years ago

Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.

grandymaker [24]

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

$m=\frac{6-4}{3+3}$

$m=\frac{2}{6}$

simplify

$m_a=\frac{1}{3}$

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

$m=\frac{3+3}{-8+10}$

$m=\frac{6}{2}$

$m_b=3$

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

$m=\frac{-4-5}{3-0}$

$m=\frac{-9}{3}$

$m_c=-3$

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

$m=\frac{-4+7}{13-4}$

$m=\frac{3}{9}$

simplify

$m_d=\frac{1}{3}$

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

$m_a=\frac{1}{3}$

$m_b=3$

$m_c=-3$

$m_d=\frac{1}{3}$

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

6 0

3 years ago

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh

DaniilM [7]

Answer:

b) 2.00

Step-by-step explanation:

For each name, there are only two possible outcomes. Either it is authentic, or it is not. The probability of a name being authentic is independent of any other name. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$