Martin, his 2 brothers, and his 5 sisters want to fairly share 3 bottles of water. How
much water will Martin get?

After solving the expression, the value is negative 7 over 24 times k plus negative 6. Therefore, option C is correct.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given statement for the expression,

-(5/8)k - 8 + 2 + (1/3)k

Take LCM as 24 and solve the equation,

(-7k - 144) / 24

= (-7/24)k - 6

Therefore, this concludes that option C is correct.

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Answer:

7.14285714286

Step-by-step explanation:

you basiclly just divide 5 by 7/10 or 5/1 divided by 7/10

Answer:

x = -1 and x = 4/3

Step-by-step explanation:

y = 3x+2

y = 3x^2+2x-2

You then equate the 1st one to the 2nd:

3x+2 = 3x^2+2x-2

3x^2-x-4 = 0

Solve using quadratic formula you get

x=-1

x=4/3

Given:

A circle with a center at C.

Required:

We need to find the names of the given parts.

Explanation:

Recall that radius is a line segment extending from the center of a circle to the circumference.

Line segment AC extends from the center C of a circle to the circumference.

Recall that the arc of a circle is defined as the part of the circumference of a circle.

AE is the part of the circumference of a circle.

Recall that a straight line segment joins and is included between two points on a circle.

D and E are two points on a circle.

A straight line DE line segment joins and is included between two points D and E on a circle.

Recall that meeting a curve or surface in a single point if a sufficiently small interval is considered a straight line tangent to a curve.

AB is tangent.

Recall that an inscribed angle is an angle with its vertex "on" the circle, formed by two intersecting chords.

Recall that a central angle is an angle formed by two radii with the vertex at the center of the circle.

Recall that an angle formed by an intersecting tangent and chord has its vertex "on" the circle.

Final answer:

Answer:

a. \(\frac{1}{15}\)

b. \(\frac{2}{5}\)

c. \(\frac{14}{15}\)

d. \(\frac{8}{15}\)

Step-by-step explanation:

Given that there are two laptop machines and four desktop machines.

On a day, 2 computers to be set up.

To find:

a. probability that both selected setups are for laptop computers?

b. probability that both selected setups are desktop machines?

c. probability that at least one selected setup is for a desktop computer?

d. probability that at least one computer of each type is chosen for setup?

Solution:

Formula for probability of an event E can be observed as:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

a. Favorable cases for Both the laptops to be selected = \(_2C_2\) = 1

Total number of cases = 15

Required probability is \(\frac{1}{15}\).

b. Favorable cases for both the desktop machines selected = \(_4C_2=6\)

Total number of cases = 15

Required probability is \(\frac{6}{15} = \frac{2}{5}\).

c. At least one desktop:

Two cases:

1. 1 desktop and 1 laptop:

Favorable cases = \(_2C_1\times _4C_1 = 8\)

2. Both desktop:

Favorable cases = \(_4C_2=6\)

Total number of favorable cases = 8 + 6 = 14

Required probability is \(\frac{14}{15}\).

d. 1 desktop and 1 laptop:

Favorable cases = \(_2C_1\times _4C_1 = 8\)

Total number of cases = 15

Required probability is \(\frac{8}{15}\).

Answer:

\(r=\frac{v^2}{a}\)

Step-by-step explanation:

\(a=\frac{v^2}{r} \\ \\ ar=v^2 \\ \\ r=\frac{v^2}{a}\)

Answer:

18.84 feet is the right answer

Answer:

18.84 feet

Step-by-step explanation:

The formula for the circumference of the circle is ...

Circumference = πd

(where d is the diameter of the circle)

Therefore the circumference of this circle is equal to...

Circumference = πd

Circumference = (3.14)(6)

Circumference ≅ 18.84 feet

First, we need to graph the lines:

In the solution of the first inequality, the points on the line are not included, then this line must be dashed. On the other hand, in the solution of the second inequality, the points on the line are included, then this line must be solid.

In both cases, the solution to each inequality is the area below each line.

Combining this information we get the next graph:

where the solution is the orange area.

From the above graph, one point in the solution set is (1, -7). We can check if this point is part of the solution by replacing it into the inequalities, as follows:

Given that the point satisfies both inequalities, then it is part of the solution set.

Answer:  3m + 1 - m

plzz mark brainliest ;)

Answer:

it is 25 percent

Step-by-step explanation:

in a decimal it is 0.25

Answer: graphing calculator!

Step-by-step explanation: if you’re looking for the square root of a # that isn’t a perfect square (ie. sqrt4, sqrt 36) then you have to use a calculator for that. however the idea behind square roots is just a # multiplied by itself to give the original #. just ask yourself “what can i multiply by itself to get the original number”. hope that helped !

Answer:

By multiplying the number by its power 2.

E.g= 4^2

Answer:

(2,9)

Step-by-step explanation:

The only point that could be included is (2, 9), since any of the other three would preclude the relationship between x and y values from being a function. Notice that 3, 4, and 7 are already connected/associated with other values in the Range of the function.

Answer: Add

Step-by-step explanation: 8+12= 20

You worded this wrong and it was hard to understand, but I think the answer is y=20

Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

Perimeter = 2x length + 2x width.

2(2x+3) + 2(x-5) = 44

Simplify:

4x + 6 +2x -10 = 44

Combine like terms:

6x -4 = 44

Add 4 to both sides:

6x = 48

Divide both sides by 6:

X = 8

Now replace x with 8 in the equation for length:

2x + 3 = 2(8) +3 = 16 + 3 = 19 cm

Length = 19 cm

Inequalities refer to the mathematical expressions in which both sides are not equal.

In Mathematics, equations are not always being same on both sides with an 'equal to' symbol. Sometimes it can be about 'not an equal to'(! =) relationship like something is greater or less than the other.

In mathematics, inequality refers to a relationship that makes a non-equal comparison between any two numbers or other mathematical expressions. These mathematical queries or expressions come under algebra and are called inequalities.

these are the basic inequality operations.

1. x ≠ q means that x is not equal to q

2. x < q means that x is less than q

3. x > q means that x is greater than q

4. x ≤ q means that x is less than or equal to q

5. x ≥ q means that x is greater than or equal to q

Here are some different types of inequality.

1. Polynomial inequalities

2. Absolute value inequalities

3. Rational inequalities

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Answer:

w = 22 in, h = 8 in.

Step-by-step explanation:

Reading the problem, I immediately see two equations. This hints me towards a system of equations problem.

Statement 1 is The width of a triangle is six more than twice the height.

The width (w) of a triangle is (=) six (6) more (+) than twice (2) the height (h).

Equation 1: w = 6 + 2h

Statement 2 is The area of the triangle is 88 in2.

The formula for the area of a triangle is \(\frac{wh}{2}\). So, we get our second equation.

Equation 2: wh/2 = 88

We see that we have the same number of equations as unknowns, two. This is important as it lets us know that we can find two unknowns in the two equations. If there are more unknowns than equations, then we cannot find the values of all the variables. Look for another equation in the problem. However, if the # equations greater than or equal to number of unknowns, then we are ready to start solving!  So, we can now move to solving.

Equation 1 isolates one of the unknowns (w). So, we can replace w in the second equation with the right side of eq 1. Then, we simplify for h.

\(\frac{wh}{2} = 88\)

\(\frac{(6 + 2h)h}{2} = 88\)

\(\frac{6h + 2h^2}{2} = 88\)

\(6h + 2h^2 = 176\)

\(2h^2 + 6h - 176 = 0\)

\(h = -11, 8\) (assuming you know how to solve quadratics)

Since we know that heights of triangles cannot be negative, we find that \(h = 8\) in.

For the final step, we plug \(h\) into our first equation to find \(w\).

\(w = 6 + 2h\)

\(w = 6 + 2(8)\)

\(w = 6 + 16\)

\(w = 22\)

So, the answer is w = 22 in, h = 8 in.

To check if we were right, we can plug the values into both equations to see if they are equal. I will skip equation 1 since we used that equation "as-is" to find w.

\(\frac{wh}{2} = 88\)

\(\frac{22 * 8}{2} = 88\)

\(11 * 8 = 88\)

\(88 = 88\)

The solution checks out!

Using proportions, the amount of horizontal change in your position is of 180 feet.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The horizontal change is of 9% for each feet descended, hence, for 2000 feet descended, the horizontal change is given by:

0.09 x 2000 = 180 feet.

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Answer:

80

Step-by-step explanation:

16/20 —> 80/100

or

16/20 = 8/10 = 80%

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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Answer:

yes you are right answer two bird dog

The area of the dish, a, can be represented by the product of its length and width. Thus, we can write:

a = (279/10) cm x (178/10) cm

Simplifying this expression, we get:

a = 4953/100 cm^2

So, the correct equations are:

B) 178/10 x 279/10 = a

and

D) a ÷ 178/10 = 279/10

We want to see in how many ways we can divide 4 masks into 7 persons. We will see that the masks can be distributed in 35 different forms.

Notice that this is equivalent to seeing how many different groups of 4 friends we can take from the group of 7 persons.

Remember that if we have a set of N elements, the total number of groups of K elements that we can take from that set is:

\(c(N, K) = \frac{N!}{(N - K)!*K!}\)

We can use that formula with N = 7 and K = 4, so we get:

\(c(7, 4) = \frac{7!}{(7 - 4)!*4!} = \frac{7*6*5}{3*2} = 35\)

So the masks can be distributed in 35 different forms.

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Answer:

3388122

Step-by-step explanation:

Answer:

3388122

Step-by-step explanation:

just add them together or use a calculator

Answer:

0.9

Step-by-step explanation:

It is the second decimal. 1/9 equals 0.9

Answer:

143

Step-by-step explanation:

x-31=112

Add 31 to both sides,

x - 31 = 112

  +31    +31

-31 and +31, cancel out so we're left with...

x = 143