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3 years ago

PLEASE help me i will make brainliest if correct

Mathematics

1 answer:

Setler [38]3 years ago

4 0

Answer:

neither

Step-by-step explanation:

there is only one side on the big triangle and each of the little ones

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Which value of x makes the open sentence true? 5x – 6 = x + 12

neonofarm [45]

The way we approach a problem like this is by using a technique called "collecting like terms".
This means that we want to put all of the values with an "x" on one side and all of the normal numbers on the other. For this particular problem we can do this as follows:
5x - 6 = x + 12
Now move the (- 6) to the right side of the equation by adding 6 to both sides:
=> 5x = x + 12 + 6
Now move the (x) to the left side of the equation by subtracting (x) from both sides:
=> 5x - x = 12 + 6
Now perform the simple arithmetic on both sides:
=> 4x = 18
Now remove the 4 from in front of the (x) by multiplying the whole equation by (1/4)
=> x = 18/4
Therefore to make your open sentence true, x must equal 18/4, or to simplify, 9/2, or as a decimal, 4.5. I hope this helped, and remember to try and understand not just the answer, but the maths involved in getting to the answer too :))

6 0

2 years ago

joe is playing a game with a regular die.If the number that turns up is even he will gain 5 times the number that comes up.If it

vova2212 [387]

3 x 10 = 30

3 - 30 = -27

6 0

3 years ago

Darryl is three inches taller than Reggie. Their heights, combined is 138 inches. How tall is Reggie?

Tju [1.3M]

Answer:

69 inches.

Step-by-step explanation: First you need to divide the height of both of them. You would get 69 and 73 if you add both numbers you would get 138 inches.

3 0

3 years ago

Find the equation of the line that

Aleonysh [2.5K]

Answer:

y = 3x/2-14

Step-by-step explanation:

We are given that the line is perpendicular to y = -2/3 and contains (4,-8).

Perpendicular Def.

$\displaystyle \large{m_1m_2 = - 1}$

Both slopes multiply each others equal to -1.

Finding another slope that is perpendicular to -2/3, substitite m1 = -2/3 in.

$\displaystyle \large{ - \frac{2}{3} m_2 = - 1}$

Multiply both sides by 3.

$\displaystyle \large{ - \frac{2}{3} m_2( 3) = - 1(3)} \\ \displaystyle \large{ - 2 m_2= - 3} \\ \displaystyle \large{ m_2= \frac{3}{2} }$

Therefore, another slope that is perpendicular to -2/3 is 3/2.

Then rewrite in slope-intercept form.

Slope-Intercept

$\displaystyle \large{y = mx + b}$

where m = slope and b = y-intercept; substitute m = 3/2 in.

$\displaystyle \large{y = \frac{3}{2} x + b}$

Since the line contains (4,-8), substitute x = 4 and y = -8 in and solve for b.

$\displaystyle \large{ - 8 = \frac{3}{2} (4) + b} \\ \displaystyle \large{ - 8 = 3(2)+ b} \\ \displaystyle \large{ - 8 = 6 + b} \\ \displaystyle \large{ - 8 - 6 = b} \\ \displaystyle \large{ - 14 = b}$

Therefore, b is -14; rewrite again in slope-intercept form.

Thus:-

$\displaystyle \large{y = \frac{3}{2} x + b} \\ \displaystyle \large{y = \frac{3}{2} x - 14}$

4 0

2 years ago

Beatrice has received two job offers, one in city A and one in city B. She would like to estimate the difference in average home

zimovet [89]

Answer:

Step-by-step explanation:

The confidence interval gives a range of values that could contain the population mean.

Confidence interval is written as

Sample mean ± margin of error

Confidence interval does not express probability.

Given that the sample mean home price for city A is $189500 and the sample mean home price for city B is $185000, the difference in the sample mean home prices for both cities is

189500 - 185000 = $4500

Since the margin of error for 95% confidence interval for the difference in average home price between the two cities (A-B) to be $3400, then

The upper limit of the confidence interval is

4500 + 3400 = $7900

The lower limit of the confidence interval is

4500 - 3400 = $1100

Therefore, the correct conclusion is

Beatrice can be 95% confident that the average home price is between $1100 and $7900 more in city A than in city B.

8 0

3 years ago