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2 years ago

Which expression is equivalent 1/3x(9y-12)

Mathematics

2 answers:

chubhunter [2.5K]2 years ago

6 0

Answer:

$3y - 4$

Step-by-step explanation:

Step 1: Distribute

$1/3 * (9y - 12)$

$(1/3 * 9y) + (1/3 * -12)$

$(3y) + (-4)$

$3y - 4$

Answer: $3y - 4$

dsp732 years ago

4 0

Answer:

2/6 x (9y-12)

Step-by-step explanation:

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Divide the total the lake holds by the number of days:

400 million / 25 days = 16 million gallons per day.

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A spinner has five congruent sections, one each of blue, green, red, orange, and yellow. Yuri spins the spinner 10 times and rec

Burka [1]

Answer:

S = {AB, AC, BC}

Step-by-step explanation:

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2 years ago

A puppy finds a rawhide bone and begins to pull it with a force, Ft. The free-body diagram is shown. A free body diagram with 4

Drupady [299]

Answer:

It begins to move toward the right

Explanation:

The given information can be summarized in this way:

First force vector: Fg = - 8N (vertical down)

Second force vector: Ft = 6N (horizonal right)

Third force vector: FN = 8N (vertical up)

Fourth vector: Ff = - 4N (horizontal left)

Following Newton's second law, net force equal mass times acceleration:

Net force = mass × acceleration

To predict the motion, you apply Newton's second law in each direction (vertical and horizontal)

Vertical force balance:

Net vertical force = 8N - 8N = 0. This means there is not motion in the vertical direction.

Horizontal force balance:

Net horizontal force = 6N - 4N = 2N. This means there is a net force of 2N to the right, which lets you predict that the bone starts to accelerate to the right; this is, the bone begins to move toward the right.

6 0

2 years ago

Derek bought a new car for $32,000. He made a down payment of $17,000 and financed the balance through the car dealer. He was un

Andreyy89

Answer:

$300

Step-by-step explanation:

Given that:

Derek bought a new car for $32,000;

The original amount of purchase = $32,000

Down payment = $17,000

Remaining amount = Original amount of purchase - Down payment

= $(32000 -17000)

= $ 15,000

Also;

rate of interest per month is 2%

and the Derek is unable to pay his first monthly payment

thus the interest amount is calculated on principal amount

so for the first month interest is calculated on total principal amount

The month interest payment is then calculated as :

= 15,000 × 2%

= 15,000 × 0.02

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3 0

2 years ago

The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.9 and a standard deviation of

labwork [276]

Answer:

A) Approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 118.5 and 377.3 = 95%

B) approximate percentage of women with platelet counts between 53.8 and 442.0 = 99.7%

Step-by-step explanation:

We are given;

mean;μ = 247.9

standard deviation;σ = 64.7

A) We want to find the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 118.5 and 377.3.

Now, from the image attached, we can see that from the empirical curve, the probability of 1 standard deviation from the mean is (34% + 34%) = 68 %.

While probability of 2 standard deviations from the mean is (13.5% + 34% + 34% + 13.5%) = 95%

Thus, approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 118.5 and 377.3 = 95%

B) Now, we want to find the approximate percentage of women with platelet counts between 53.8 and 442.0.

53.8 and 442.0 represents 3 standard deviations from the mean.

Let's confirm that.

Since mean;μ = 247.9

standard deviation;σ = 64.7 ;

μ = 247.9

σ = 64.7

μ + 3σ = 247.9 + 3(64.7) = 442

Also;

μ - 3σ = 247.9 - 3(64.7) = 53.8

Again from the empirical curve attached, we cans that at 3 standard deviations from the mean, we have a percentage probability of;

(2.35% + 13.5% + 34% + 34% + 13.5% + 2.35%) = 99.7%

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2 years ago