Solve and graph "-14" < "-6x" - 2 ≤ 22

Answer:

c. divide the cars gas milelage

Answer:

Sixteen

Step-by-step explanation:

My birthday was on Saturday and I turned 21 bro I hope you good

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

Answer:

62 in

Step-by-step explanation:

5 x 2 = 10

5 x 3 = 15

2 x 3 = 6

2 x 3 = 6

2 x 5 = 10

3 x 5 = 15

Using the normal distribution, it is found that there is a 0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, for each variable, \(\mu_G = 3.25, \sigma_G = 0.91, \mu_H = 4.51, \sigma_H = 2.02\)

For the subtraction, we have that:

\(\mu_D = \mu_G - \mu_H = 3.25 - 4.51 = -1.26\)

\(\sigma_D = \sqrt{\sigma_G^2 + \sigma_H^2} = \sqrt{0.91^2 + 2.02^2} = 2.2155\)

The probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices is P(D > 0), which is 1 subtracted by the p-value of Z when X = 0.

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{0 - (-1.26)}{2.2155}\)

\(Z = 0.57\)

\(Z = 0.57\) has a p-value of 0.7157.

1 - 0.715 = 0.284

0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a  randomly selected package of honeydew slices.

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Answer: 3

7x + 15 = 41 or 7x - 15 = 41

Answer:

7x - 15 = 41

Step-by-step explanation:

The key word is "difference" so keep that in mind. 7 times a number and 15 is 41. The "number" is unknown so a variable can be put in place until the number is known. The whole equation equals 41. The word "and" is where the "difference" or subtraction sign should go. Now we have a translated description! I hope this helps and if I'm wrong, please let me know!

Answer: 15.625

Step-by-step explanation:

F = 1000/(8^2) = 1000/64 = 15.625

Answer:

F = 15.625

Step-by-step explanation:

This question may look quite tricky because of the square number, and fraction, but it is actually quite simple when you break it down.

To calculate this question we need to substitute the number 1000 (because we are told this is f) into where f is in our equation. Our new equation is F=1000/r^2.

Next, we need to substitute the number 8 (because we are told this is r) into where r is in our equation. Our new equation is F=1000/8^2.

At this stage, it is just a matter of putting this information directly into a calculator to find F. The answer we get is 125/8, and to get this is into decimal form, we just divide 8 by 125, and the answer is 15.625. This is our final answer.

I have attached a photograph of this calculation written down.

Answer:

What type of math is this

Step-by-step explanation:

The equation to show the perimeter of the rectangle is P = 2(2w + 5)

From the question, we have the following parameters that can be used in our computation:

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

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Answer:

y=2x-7

Step-by-step explanation:

y=mx+b

Since the lines are parallels, that means that their slopes are the same, so you can use the slope which is 2.

Then you can substitute the points in to find the b.

1=2(4)+b

1=8+b

-7=b

You can substitute this into the equation and get, y=2x-7.

Please correct me if I am wrong. I hope you understand!

Answer:

$ 180,000

Step-by-step explanation:

All we are being asked to do in this question is take the simple interest, given a principle value of $100,000, with 8 percent interest each year over a course of 10 years. This is given the simple interest formula P( 1 + rt ).

Simple Interest : P( 1 + rt ),

P = $ 100,000 ; r = 8% ; t = 10 years,

100,000( 1 + 0.08( 10 ) ) = 100,000( 1 + 0.8 ) = 100,000( 1.8 ) = 180,000

Therefore you will have to pay back a total of $ 180,000

The angle that the ramp makes with the ground is approximately 28.07 degrees.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):

Sin(θ) = 8/17

We can use a calculator to find the inverse sin of this ratio to get the angle θ:

θ = sin⁻¹(8/17)

θ ≈ 28.07 degrees

Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.

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Step-by-step explanation:

Hope it helps :)❤

Answer:

1.2

2.4

3.6

1+1=2

Answer:

x=15

Step-by-step explanation:

They are VERTICLE ANGLES meaning 125degrees = to the equation on the right.

(5x+30)=125

5x=85

x=15

Answer:

Step-by-step explanation:

The vertex is at (-3, -1)  and the leading coefficient is negative ( because  the curve is inverted)

y = -a(x + 3)^2 - 1

One point on the curve is (-2, -3) so

-3 = -a(-2+3)^2 - 1

-3 = -a - 1

-a = -2

So we have

y = -2(x + 3)^2 -  1

y = -2(x^2 + 6x + 9) - 1

y = -2x^2 - 12x - 19.

Answer:

8 lbs. 13 oz.

Step-by-step explanation:

2 lb. 4 oz.

+ 1 lb. 11 oz.

4 lb. 14 oz.

__________

7 lbs. 29 oz.

Since there are 16 oz in one pound, subtract 16 from 29 to get 13 oz and don’t forget to add that pound to the 7, so your final answer should be 8 lbs. 13oz.

Answer: y=1.125x

Step-by-step explanation:

At the point of intersection, the value of y for the systems of equations is the same. Hence, we can relate the two equations as

Solve for the value of x for the point of intersection, we have

Use one of the equations on the systems of equations to solve for y. In this case, I will use y = 3x -2. Solve for y, we get

Hence, the point of intersection of the two equations is in (1,1) which is described by point D.

The solution is, the value of the digit 3 in the number 63,297 compare to the value of the digit of 3 in the number 60,325 is 2700.

Here,  we have,

given that,

the value of the digit 3 in the number 63,297 compare to the value of the digit of 3 in the number 60,325.

we have,

The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.

we know,

the value of the digit 3 in the number 63,297 = 3000

the value of the digit 3 in the number 60,325 = 300

so, we get,

The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:

= 3000 - 300

= 2700

Hence, the value of the digit 3 in the number 63,297 compare to the value of the digit of 3 in the number 60,325 is 2700.

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Using a system of equations, it is found that:

--------------------

The variables of the system are:

Total of 8,000 seats, all can be sold, thus:

\(x + y = 8000 \rightarrow x = 8000 - y\)

--------------------

For a profit of $255,000, we have that:

\(29x + 34y = 255000\)

\(29(8000 - y) + 34y = 255000\)

\(5y = 23000\)

\(y = \frac{23000}{5}\)

\(y = 4600\)

\(x = 8000 - 4600 = 3400\)

For a profit of $255,000, 3400 tickets of $29 and 4600 tickets of $34 must be sold.

--------------------

For a profit of $271,000, we have that:

\(29x + 34y = 271000\)

\(29(8000 - y) + 34y = 271000\)

\(5y = 39000\)

\(y = \frac{39000}{5}\)

\(y = 7800\)

\(x = 8000 - 7800= 200\)

For a profit of $271,000, 200 tickets of $29 and 7800 tickets of $34 must be sold.

--------------------

For a profit of $235,000, we have that:

\(29x + 34y = 235000\)

\(29(8000 - y) + 34y = 235000\)

\(5y = 3000\)

\(y = \frac{3000}{5}\)

\(y = 600\)

\(x = 8000 - 600 = 7400\)

For a profit of $235,000, 7400 tickets of $29 and 600 tickets of $34 must be sold.

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The function is zero at x = 1 and x = -3.

The vertex of the function is (-1, -4).

(0, -3) is the y-intercept.

The minimum of the function is at x = -1.

All the statement is true.

We have,

The zeroes of a function are the values of x that make the function evaluate to zero.

The vertex of a function, also known as the vertex point or vertex form, is a point on the graph of a quadratic function where the function reaches its maximum or minimum value.

The minimum of a function refers to the lowest value that the function attains over a given interval or its entire domain.

Now,

From the graph,

The function is zero at x = 1 and x = -3

So,

The function has two zeroes.

And,

The vertex of the function.

= (-1, -4)

And,

At x = 0, y = -3.

(0, -3)

This is the y-intercept.

Now,

From the graph,

The minimum of the function is at x = -1.

Thus,

The function is zero at x = 1 and x = -3.

The vertex of the function is (-1, -4).

(0, -3) is the y-intercept.

The minimum of the function is at x = -1.

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Answer:

B. 7 + y = y + 7

Step-by-step explanation:

Commutative property of addition describe an equation in which the order of addition has no effect on the outcome of the sum. The result of addition of the expressions on the left hand side is the same as that on the right hand side. It requires only an addition to property.

In the given question, the equation that shows the correct application of commutative law of addition is; 7 + y = y + 7

2 cups you need to fill the jug to 4.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

It depends on the size and markings of the jug.

If we assume that the jug is divided into equal intervals and each interval represents an equal volume,

then we can say that filling the jug to the second interval means that the jug is 1/2 full.

To fill the jug to the fourth interval, we need to fill the remaining 2 intervals, which means we need to add another 2 cups of liquid.

So, the answer is 2 cups.

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Remember that

A function is one-to-one if every element of the range corresponds to exactly one element of the domain 

so

Verify

In this problem

we have that

every element of the range corresponds to exactly one element of the domain

therefore

The function is one to one

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

The solution that each system of equations have would be = 2 solutions of the value of X and y.

The substitution method of solving an equation is defined as the way of solving an equation whereby one variable is solved and is substituted into the second unknown variable.

For the above sets of equations, the solutions would be the value of both X and y which can be solved as follows:

4x-y = 2 ---->. equation 1

16x-4y = 8 -----> equation 2

Make y the subject of formula in equation 1

y = 2-4x

substitute y = 2-4x into y in equation 2

16x - 4( 2-4x) =8

16x - 8 + 16x = 8

32x = 16

X = 16/32

X= 0.5

Substitute 0.5 = X in equation 1;

4(0.5) - y = 2

y = 2-2

y = 0

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The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

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