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3 years ago

Which number is the additive inverse of -4 and 1/4 of a -4 1/4 b -1/4 c 1/ 4 d 4 1/4. What's the answer

Mathematics

2 answers:

Setler [38]3 years ago

7 0

Answer:

Step-by-step explanation:

D. The addictive inverse is the opposite of whatever number you have.

aivan3 [116]3 years ago

3 0

Answer:

d. $4\frac{1}{4}$

Step-by-step explanation:

Let x be the additive inverse of our given number.

We are asked to choose the correct option that represents the additive inverse of $-4\frac{1}{4}$ .

Additive inverse of any number is the number that, when added to the number, yields zero.

By definition of additive inverse, when we will add x to $-4\frac{1}{4}$ , we should get 0 as our answer. We can represent this information in an equation as:

$-4\frac{1}{4}+x=0$

Let us solve for x by adding $4\frac{1}{4}$ to both sides of our equation.

$-4\frac{1}{4}+4\frac{1}{4}+x=0+4\frac{1}{4}$

$x=4\frac{1}{4}$

Therefore, additive inverse of $-4\frac{1}{4}$ is $4\frac{1}{4}$ and option d is the correct choice.

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Equivalent expression of 5(y+4) =

Andrew [12]

Answer:

5y + 20

Step-by-step explanation:

5 (y+ 4) =

5(y) + 5(4) =

5y + 20

<em>Hope that helps!</em>

<em>-Sabrina</em>

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2 years ago

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24/4=6. 4×6=24.what is the meaning of the unknown factor and quotient?

vovikov84 [41]

The unknown factor is the divide sign

8 0

3 years ago

The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket (Bureau of Transportation St

saveliy_v [14]

Answer:

a)0.067

b)0.111

c)0.612

d)$687.28

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $385

Standard Deviation, σ = $110

We are given that the distribution of domestic airfares is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(domestic airfare is $550 or more)

P(x > 550)

$P( x > 550) = P( z > \displaystyle\frac{550 - 385}{110}) = P(z > 1.5)$

$= 1 - P(z \leq 1.5)$

Calculation the value from standard normal z table, we have,

$P(x > 550) = 1 - 0.933 = 0.067= 6.7\%$

b) P(domestic airfare is $250 or less)

$P(x \leq 250) = P(z \leq \displaystyle\frac{250-385}{110}) = P(z \leq -1.22)$

Calculating the value from the standard normal table we have,

$P( x \leq 250) = 0.111 = 11.1\%$

c))P(domestic airfare is between $300 and $500)

$P(300 \leq x \leq 500) = P(\displaystyle\frac{300 - 385}{110} \leq z \leq \displaystyle\frac{500-385}{110}) = P(-0.77 \leq z \leq 1.04)\\\\= P(z \leq 1.04) - P(z < -0.77)\\= 0.851 - 0.239 = 0.612 = 61.2\%$

$P(300 \leq x \leq 500) = 61.2\%$

d) P(X=x) = 0.03

We have to find the value of x such that the probability is 0.03.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 385}{110})=0.03$

$= 1 -P( z \leq \displaystyle\frac{x - 385}{110})=0.03$

$=P( z \leq \displaystyle\frac{x - 385}{110})=0.997$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 385}{110} = 2.748\\x = 687.28$

Hence, the domestic fares must be $687.28 or greater for them to lie in the highest 3%.

7 0

3 years ago

The numbers -12, -7, -2, 3, ... follow a pattern. What are the next three numbers in this pattern?

liq [111]

Answer:

8, 13, 18

Step-by-step explanation:

Its adding 5 each time so it ends up at positive values all the way up to 18

5 0

3 years ago

Which of the following is parallel to the line 2x+4y=16

k0ka [10]

Answer:

Option C: y=-1/2x + 8

Step-by-step explanation:

So we have the options:

A) y=2x+5

B) y=-1/2x+4

C)y=-1/2x+8

D)y=-2x+5

But first let's define what parallel even is. When two lines are parallel it means that there slope is the same value and the same sign, while there y-intercepts are different, because if they were the same, then they wouldn't be parallel, they would just be the same exact line.

So we're given the equation in standard form. To find the slope we can change it so it's in the form of y=mx+b. This can be done by simply isolating y. The reason we want it in the slope-intercept form is because m represents the slope and b represents the y-intercept. m is the slope because as x increases by 1 the y-value will increase by m. So the "rise" will be m and the "run" will be 1, thus the slope will be m/1 or in other words m because the slope is defined as rise/run. So let's start the steps to isolating y

Original equation

2x+4y=16

Subtract 2x from both sides

4y=-2x+16

Divide both sides by 4

y = -1/2x + 4

Here we have it in slope-intercept form. In this case the slope, or m, is -1/2 and the y-intercept or b is 4. So now let's look at the other equations.

Option A: This equation has a slope of 2, which is not the same as -1/2 so it is not parallel

Option B: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. But look at the y-intercept it's 4, that's the same y-intercept as the original equation. This means the two equations are equal and not parallel

Option C: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. It has a y-intercept of 8 which is not the same as 4, so the two lines are parallel and not equal! This is the answer

6 0

2 years ago