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3 years ago

7

Write an equation or inequality to represent "five times the difference of a number n and forty two is ten more than twice the p

roduct of a number x and number y."

2 answers:

Zina [86]3 years ago

5 0

$5(n-42)=10+2(xy)$

IRINA_888 [86]3 years ago

3 0

Five times the difference of a number n and forty two is ten more than twice the product of a number x and number y

Five times: 5 ×
difference of a number n and forty two: (n - 42)
is: =
twice the product of a number x and a number y: 2(xy)
ten more than: + 10

Rewrite the expression into an equation.

<h3>5(n - 42) = 2(xy) + 10</h3>

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A researcher computes the definitional formula for SS, and finds that Σ(x − M) = 44. If this is a sample of 12 scores, then what

olga_2 [115]

Answer:

Option B.

Step-by-step explanation:

Given information:

Σ(x − M) = 44

where, M is mean.

Sample size = 12

The computational formula for sample variance is

$s^2=\dfrac{\sum (x-M)^2}{N-1}$

where, M is sample mean and N is sample size.

Substitute Σ(x − M) = 44 and N=12 in the above formula.

$s^2=\dfrac{44}{12-1}$

$s^2=\dfrac{44}{11}$

$s^2=4.0$

The sample variance is 4.0.

Therefore, the correct option is B.

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3 years ago

A convex polygon has Choose...<br> sides when the interior angle sum is 1980º.

Viefleur [7K]

Answer:

13 sides.

Step-by-step explanation:

(n - 2) = 1980 / 180 = 11.

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When the sum of the interior angles is 1980 degrees, the convex polygon will have 13 sides.

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2 years ago

Newborn Brain Damage Researchers studied 208 infants whose brains were temporarily deprived of oxygen due to complications at bi

Kazeer [188]

Answer:

To provide a baseline for judging the survival rates of infants who received whole-body cooling

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2 years ago

Assign two variables for each problem, and write the equations. Do not solve.

GalinKa [24]

Call the amount of pineapple "P', and the amount of gingerale "G".

We know that a mix of pineapple and gingerale makes 200 cups. So:
$P+G=200$

We also know that double the pineapple (i.e. 2P) and triple the gingerale (i.e. 3G) makes 420 cups. So:
$2P+3G=420$

We can now solve by substitution:
$2P+3(200-P)=420$
$2P+600-3P=420$
$-P=-180$
$P=180$

$180+G=200$
$G=20$

For 420 cups we need 2P=360 cups of pineapple and 3G=60 cups of gingerale]

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3 years ago

What is the slope-intercept equation of the line going through (3, -6) and

jok3333 [9.3K]

Hi there!

$\large\boxed{D. \text{ }y = -4x + 6}$

To derive an equation given the points, we can use the slope formula:

$slope = \frac{y_{2}-y_{1}}{x_{2}-x{1}}$

Plug in the corresponding coordinates:

$slope = \frac{-6-2}{3-1}$

Simplify:

$slope = \frac{-8}{2} = -4$

Therefore, we have:

y = -4x + b

Plug in the x and y values for a coordinate to solve for b:

2 = -4(1) + b

2 = -4 + b

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The equation is:

y = -4x + 6. The correct answer is D.

7 0

3 years ago