Determine which integer will make the inequality x − 4 < 16 true.

Answer:

D) 22.9 cm

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 = c^2

10^2 + x^2  = 25^2

100 + x^2 = 625

Subtract 100 from each side

x^2 = 525

Take the square root of each side

sqrt(x^2) = sqrt(525)

x =22.91287857

The solution to the equation 2(x+1) = -8 is x = -5.

Given information:

The equation is 2(x+1)=-8.

In order to solve the equation 2(x+1)=-8, follow the process given below.

1. Distribute the 2 to the parentheses:

2x + 2 = -8

2. Subtract 2 from both sides to isolate the x term:

2x = -10

3. Divide both sides by 2 to solve for x:

x = -5

Therefore, the solution is x = -5.

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His fortnightly income is $3000 where the yearly salary is $78000 using 26 fortnights in a year.

Fortnightly income is the amount of income a person earns every two weeks. It is usually calculated by dividing the person's yearly income by the number of fortnights in a year, which is typically 26.

To calculate the fortnightly income (F), we need to divide the yearly salary (Y) by the number of fortnights in a year (N), which is 26.

So mathematically, we can express the calculation of the fortnightly income as:

F = Y / N

Substituting the given values, we get:

F = $78000 / 26

Simplifying the expression, we get:

F = $3000

Therefore, his fortnightly income is $3000.

For example, if a person's yearly salary is $52,000, their fortnightly income would be calculated as:

Fortnightly income = Yearly salary / Number of fortnights

Fortnightly income = $52,000 / 26

Fortnightly income = $2,000

The person's fortnightly income would be $2,000.

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The complete question is Tom’s yearly salary is $78000. Calculate Tom’s fortnightly income. (Use 26 fortnights in a year). Fortnightly income = ?$

The expression to model the problem is \(\frac{2}{3}\) ÷ 12, and the solution is 1/18.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Total fraction of grains Alexis has = 2/3 pounds

Grains used to feed 12 chickens = 2/3

Grains used to feed 1 chicken = (2/3) / 12

                                                  = \(\frac{2}{3}\) ÷ 12

Using the reciprocal rule,

Grains used to feed 1 chicken = \(\frac{2}{3}\) × \(\frac{1}{12}\)

                                                  = 1/18

Hence the amount of grains for 1 chicken is 1/18.

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It will be easier for you to see if you first write it as a rational number, then as a decimal number.

\(10^{-6}\) means we take \(6th\)  power of \(10\) , then take the reciprocal of it.

\(6th\)  power of \(10\) is \(1000000\) , and reciprocal of it is \(\frac{1}{1000000}\)

If we write it as a decimal number, the answer would be 0.000004272

Answer:

Step-by-step explanation:

10^-6 = a millionth of 1 = 0.000001

Change 4.272 into 4272

replace the last 4 digits to 4272

We get

0.004272

Answer:

personal budget

Step-by-step explanation:

Drawing up a budget is a good way to plan your expenditure based on how much money you expect to receive. Budgets are often estimates, because you cannot easily include unexpected expenses in a budget. However, you can plan to save some money that you can use in the event of an unexpected expense. Budgeting includes normal monthly budgeting and budgeting for particular expenses, such as an expensive item that you want to buy, a project or a trip overseas.

Answer:

-13.608

Step-by-step explanation:

-1.89 * 7.2

- (1.89 * 7.2)

- (13.608)

-13.608

Answer:

-13.608

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

its A

Step-by-step explanation: i passed the test

Answer:

81

Step-by-step explanation:

180-41-58=81

angles in a triangle add up to 180 :)

Answer:

Step-by-step explanation:

Using the hypergeometric distribution, it is found that:

The probability that four randomly selected high school drivers all drove when drinking alcohol is 0.000145.

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

In this distribution, the probability of exactly x successes is:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:  

Combination formula:  

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 4) = h(4,8086,4,888) = \frac{C_{888,4}*C_{7198,0}}{C_{8086,4}} = 0.000145\)

Thus, the probability is of 0.000145.

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Answer:

Step-by-step explanation:

1) f(-4) --> if x < or equal to 3

2) 1/(-4)-4

3) The answer is - 1/8

Answer:

= (-7/3) ×(6) + (-3)^2

= -7×2 + 9

= -14+ 9

[ it comes (+9) because (-3)×(-3) = +9 ]

-5 is the answer

Answer:

100°

Step-by-step explanation:

The sum of triangle angles is 180°

35+45=80

180-80=100

Answer:

If y is less than 2x - 7 on the graph, then the line will be descending and the slope will be negative.

Answer:

y = 2x − 7 y = 2 x - 7 Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 2 2 y-intercept: (0,−7) ( 0, - 7) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps... x y 0 −7 1 −5 x y 0 - 7 1 - 5

Step-by-step explanation:

x-intercept(s):

( 7/2,0)

y-intercept(s):  

(0,-7)

Answer:

12 square feet

Step-by-step explanation:

First we will find what we know, the square on the left side.

2 x 2 = 4.

Now, we have the triangle right.

10 - 2 = 8 for the length. Our sides are 8.2, 2, and 8. We just need the length and width.

2 x 8 = 16

16 / 2 = 8 (since it is a triangle)

Adding the together results in our answer which is,

4 + 8 = 12 square feet

(if I a wrong I am so sorry, good luck and have a nice day!)

Answer:

28 miles

Step-by-step explanation:

to fin the actual distance you must multiply the didtance on the map by the map scale

3.5*8=28

answer to problem:

n = 3

Answer and explanation:

Please find attached answer and explanation

9514 1404 393

Answer:

  -2

Step-by-step explanation:

You can use the formula for slope (m) to find it:

  m = (y2 -y1)/(x2 -x1)

  m = (7 -1)/(5 -8) = 6/-3 = -2

The slope of the line is -2.

The quadratic equation that gives the height of the rocket, h = 156·t - 16·t² is evaluated at h = 60 feet to give the two times the rocket's height is 60 feet as 0.40 seconds and 9.35 seconds.

A quadratic equation is an equation of the second degree that can be expressed in the form; a·x² + b·x + c = 0, where the letters, a, and b represents the coefficients of x and c is a constant.

The initial velocity of the rocket = 156 ft./s upwards

The given equation of the rocket is: h = 156·t - 16·t²

The times when the rocket height is 60 feet are found by plugging in the value h = 60, in the equation of the vertical height of the rocket as follows:  

h = 60 = 156·t - 16·t²

156·t - 16·t² - 60 = 0

4·(39·t - 4·t² - 15) = 0

Therefore: \(39\cdot t - 4\cdot t^2 - 15 = \dfrac{0}{4} =0\)

39·t - 4·t² - 15 = 0

-4·t² + 39·t - 15 = 0

From the quadratic formula which is used to solve the quadratic equation of the form; f(x) = a·x² + b·x + c, is presented as follows;

\(x = \dfrac{-b\pm\sqrt{b^2-4\cdot a \cdot c} }{2\cdot a}\)

The solution of the equation, -4·t² + 39·t - 15 = 0, is therefore:

\(t = \dfrac{-39\pm\sqrt{(39)^2-4\times (-4) \times (-15)} }{2\times (-4)}= \dfrac{-39\pm\sqrt{1281} }{-8}\)

Therefore, when the height of the rocket is 60 feet, the times are: \(t = \dfrac{-39-\sqrt{1281} }{-8}\approx 9.35\) and \(t = \dfrac{-39+\sqrt{1281} }{-8}\approx 0.40\)

The times when the height of the rocket is 60 feet, the times are:

t ≈ 9.35 s, and t ≈ 0.40 s

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Answer:

D $45

Step-by-step explanation:

you would take the $350 and divide it by 80 an you get 4.375 than you round that to the nearest 5th

Answer:

- \(\frac{9}{10}\) > - \(\frac{10}{10}\)

Step-by-step explanation:

Which number is closer to 0, meaning that number is bigger.

-9/10 = -0.9

-10/10 = -1

We see -0.9 is closer to 0, meaning it is bigger.

So,  - \(\frac{9}{10}\) > - \(\frac{10}{10}\)

Answer:

hi apner friend a few other friends and friends with the base

Step-by-step explanation:

hi there is the right answer which

9514 1404 393

Answer:

Step-by-step explanation:

We are given the relation ...

  cp(1 -10%) = N15300

Dividing by the coefficient of cost price (cp), we find it to be ...

  cp = N15300/0.9 = N17000

The watch cost N17000.

__

To make a profit of 6%, the selling price (sp) must be ...

  sp = cp(1 +6%) = 1.06 × N17000 = N18020

He should have sold it for N18020 to make a profit of 6%.

ax + by = 6000 and a + 5 = b are two equations that might be used to calculate how many soup cans and frozen dinners were purchased.

There are several methods to define a formula. A mathematical statement that establishes the equivalence of two mathematical expressions is the definition of an equation in algebra. This is best shown by the formula 3x + 5 = 14. In this instance, the word equal comes between the phrases 3x + 5 and 14. Even the most basic algebraic equations include the usage of mathematical variables.

X now has 300 mg of sodium in it.

\(x = 300\)

Y also has 450 mg of sodium in it.

\(y = 450\)

Samuel reportedly buys five more frozen dinners than soup cans, and they all have a combined salt content of 6000 mg.

Let the number of frozen dinners be "b," and the number of soup cans be "a."

ax + by = 6000

a(300) + b(450) = 6000 .

Samuel bought 5 more frozen dinners than soup cans, according to the inquiry, which results in equation

\(a + 5 = b \\a(300) + (a + 5)(450) = 6000\\300a + 450a = 6000 - 2250\\ 750a = 3750\\ a = 3750/750\\ a = 5\\5 + 5 = b\\ b = 10\)

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To answer this question, we need to find the measure of the angle from the x-axis taking into account the measure of the other angle from the y-axis. In this case, the value from the x-axis to the y-axis is equal to pi/2, then, we have that the angle from the x-axis is equal to:

Then, we have:

As we can see from the picture, we have two complete rounds to the unit circle. Then, the value for the angle is:

We need to remember that each round to the unit circle is equal to 2pi radians. We have two rounds to this unit circle, and we need to add after this pi/4. Then, we have that the value for the angle is:

The answer is in radians.

\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

The given fraction is \(1\frac{3}{4}\).

\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.

Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.

Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.

Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

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Step-by-step explanation:

1ft=12in

1¾ft=x

x=12×7/4=21in

1¾ft=1¾×1 ft

Answer:

Step-by-step explanation:

Ok so we are going to start with the first statement. If you drive above 55mph you will get a ticket. Lets say that is P. The second statement. Kate drives 60mph. That is our Q.

P>Q

Q>R

P>R

R is our conclusion.

So our conclusion is indeed. Kate will get a ticket.

investment at 12 %  =  $8485

investment at 10%   = $2042

What does investing mean?

The act of investing entails using money now in the hopes that it will appreciate over time.

           An investment is putting resources—such as time, money, effort, etc.—to work in the expectation of receiving a return that is greater than the initial investment.

Let x = investment at 12%

      y = investment at 10%

    x + y = 10,527

given interest earned from 12% exceed

   10%  by 814

  0.12x  =  0.1y + 814

  y = 10527 - x

 0.12x = 0.1( 10527 - x ) + 814

0.12x = 1052.7x - 0.1x + 814

 0.22x = 1866.7

    x = 1866.7/0.22

     x =  8485

   y = 10527 - 8485  = 2042

investment at 12 %  =  $8485

investment at 10%   = $2042

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Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.