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3 years ago

-2(3x+4)<-4+8 solve the inequality

Mathematics

2 answers:

Shtirlitz [24]3 years ago

8 0

Answer:

Inequality: x > -2

Interval Notation: ( -2, ∞)

Step-by-step explanation:

mario62 [17]3 years ago

8 0

Answer:

x > -2

Step-by-step explanation:

-2(3x+4) < -4+8 (evaluate right side)

-2(3x+4) < 4 (expand the parentheses on the left side using distributive property)

3x(-2) + 4(-2) < 4

-6x - 8 < 4 (add 8 to both sides)

-6x < 4 + 8

-6x < 12 (divide both sides by 6)

-x < (12/6)

-x < 2 (multiply both sides by -1; remember to flip the sign when multiplying both sides by a negative number)

x > -2

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Quickly please im very confused

deff fn [24]

Answer:

A: -16/3

B: 16/3

C: -6

D: -6

E: 6

Step-by-step explanation:

A would be -16/3 because you multiply -2 time 8 which is 116. And the denominator is 3.

B would be 16/3. It is the same as problem A but there are two negatives which make positive.

C is -6. You just divide -18/3.

D is the exact same as C. It just has parenthesis but the answer is still -6.

E is 6 because there are two negatives which make a positive.

5 0

3 years ago

Whats 95 closer to 64 or 125

Basile [38]

125-95=30
95-64=31
so it would be 125

6 0

2 years ago

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation

aliina [53]

Answer:

a. X~N(2,885, 651)

b. 0.086291

c. 0.00058

d. 3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

$P(X$

#substitute the given values in the formula to solve for P:

$P(X$

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

$P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058$

Hence, the proportion of customers consuming over 5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

$0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09$

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

8 0

3 years ago

Sheila has 5 times as many markers as dave. together they have 18 markers. How many markers does sheila have

Karolina [17]

Answer:

Step-by-step explanation:

Let, x, represent the value of Dave's markers. You then make the equation (5x+x=18) because both markers combined is 18 and Sheila has 5 times the markers of Dave so her value would represent 5x. Solving the equation would get you x=3 BUT THAT IS THE VALUE OF DAVE'S MARKERS! The question asks for Sheila's with is 5*3. So the answer is 15 markers.

3 0

3 years ago

Craig score p point in a game. marla score twice as many point as craig but 5 fewer than nelson score. how man point did nelson

True [87]

(12 x 2) - 5 because twice as many means to multiply by 2. fewer means to subtract.

7 0

3 years ago