bottle of a chemical solution that contains 75% alcohol. The bottle contains 500 milliliters of solution. How many milliliters of alcohol are in the solution?

Answer:

C. y-2=2(x-4)

Step-by-step explanation:

Final answer:

The width is 11 feet and the length is 17 feet.

Explanation:

The question asks us to find the length and width of a rectangle where the length is 6 feet longer than the width and the perimeter is 56 feet. To solve this, let's denote the width of the rectangle as w feet.

Since the length is 6 feet longer, the length will be w + 6 feet.

The formula for the perimeter (P) of a rectangle is P = 2(length + width). We can plug in our expressions for length and width into this formula:

P = 2(w + 6 + w)

Given that the perimeter is 56 feet, we have:

56 = 2(2w + 6)

Dividing both sides by 2, we get:

28 = 2w + 6

Subtract 6 from both sides:

22 = 2w

Divide both sides by 2:

11 = w

Therefore, the width of the rectangle is 11 feet and the length is w + 6 = 11 + 6 = 17 feet.

Answer:

25+3=28 - 28=j or j=28

Step-by-step explanation:

just add 25 and 3 and you will get 28.

The width of the rectangle is 6 inches and the length is 12 inches.

To find the dimensions of the rectangle, we can use the fact that the length is 2 times the width. Let's define the width as 'w' inches. According to the problem, the length is 2 times the width, so the length would be '2w' inches. The area of a rectangle is calculated by multiplying the length and the width, so we can set up the equation: 'w * 2w = 72'. Solving this equation, we find that 'w' equals 6 inches. Therefore, the width of the rectangle is 6 inches and the length is 2 times that, which is 12 inches.

Answer:

35. Monthly payment = ((total cost) -(initiation fee))/(number of payments)

36. ((sum of given scores) +(missing score))/5 = 98

37. 3 dozen is 1 dozen less than half a dozen times the number of marbles in the bag. How many marbles are in the bag?

38. (Rebecca's earnings last month) + $366 +$2895 = $5278

Step-by-step explanation:

The area of rectangle DEFG is 9/4 times greater than that of rectangle ABCD. This is determined by squaring the scale factor that relates their lengths, since the rectangles are similar.

The area of rectangle DEFG is how many times greater than the area of rectangle ABCD can be found by comparing the squares of their corresponding lengths, since they are similar rectangles. The length of rectangle ABCD is 4 inches, while the length of rectangle DEFG is 6 inches. To determine the area comparison, we square the scale factor, which is the ratio of the lengths of the two rectangles. This means the scale factor is 6/4, which simplifies to 3/2. Squaring this gives us (3/2)² = 9/4. Therefore, the area of DEFG is 9/4 times greater than the area of ABCD.

In the case of the squares Marta has, if one square has side lengths twice that of the other, the larger square will have an area that is 2² = 4 times larger than the smaller square. Applying this concept of squaring the scale factor to rectangles, as in the original question, gives us our ratio of areas between similar figures.

Answer:

(2,3)

Step-by-step explanation:

Multiplying the first equation by 5 and the second equation by $-2$ gives

\begin{align*}

10x-15y&=-25,\\

-10x + 4y &=-8.\\

\end{align*}Adding the two equations gives $-11y = -33$, so $y=3$. Substituting $y=3$ in the first original equation gives $2x - 9 = -5$, so $2x = 4$ and $x = 2$. Therefore, the solution is $(x,y) = \boxed{(2,3)}$

Answer:

(B)

Step-by-step explanation:

In the given graph,   it is shown the number of cups of mango juice are mixed with different numbers o cups of lemon juice.

Then, From the graph, at Point(10,1),

Ratio of the cups of mango juice to the number of cups of lemon juice soda=[tex]\frac{10}{1}[/tex]

=10:1

At point (20,2)

Ratio of the cups of mango juice to the number of cups of lemon juice soda=[tex]\frac{20}{2}=\frac{10}{1}[/tex]

=10:1

At point (30,3)

Ratio of the cups of mango juice to the number of cups of lemon juice soda=[tex]\frac{30}{3}=\frac{10}{1}[/tex]

=10:1

At point (40,4)

Ratio of the cups of mango juice to the number of cups of lemon juice soda=[tex]\frac{40}{4}=\frac{10}{1}[/tex]

=10:1

Thus, Option B is correct.

Answer:

B

Step-by-step explanation:

In the given graph,   it is shown the number of cups of mango juice are mixed with different numbers o cups of lemon juice.

Then, From the graph, at Point(10,1),

Ratio of the cups of mango juice to the number of cups of lemon juice soda=

=10:1

At point (20,2)

Ratio of the cups of mango juice to the number of cups of lemon juice soda=

=10:1

At point (30,3)

Ratio of the cups of mango juice to the number of cups of lemon juice soda=

=10:1

At point (40,4)

Ratio of the cups of mango juice to the number of cups of lemon juice soda=

=10:1

Thus, Option B is correct.

The solutions are:

           [tex]x=-5.372\ and\ x=0.372[/tex]

The equation is given by:

              [tex]2x(x+5)=4[/tex]

on using the distributive property of multiplication in the left hand side of the equation we have:

[tex]2x\times x+2x\times 5=4\\\\i.e.\\\\2x^2+10x=4\\\\i.e.\\\\2x^2+10x-4=0\\\\i.e.\\\\2(x^2+5x-2)=0\\\\i.e.\\\\x^2+5x-2=0[/tex]

Now, we know that the solution of the quadratic equation:

[tex]ax^2+bx+c=0[/tex] is given by:

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Here we have:

[tex]a=1,\ b=5\ and\ c=-2[/tex]

Hence, the solution is:

[tex]x=\dfrac{-5\pm \sqrt{5^2-4\times 1\times (-2)}}{2\times 1}\\\\i.e.\\\\x=\dfrac{-5\pm \sqrt{25+8}}{2}\\\\i.e.\\\\x=\dfrac{-5\pm \sqrt{33}}{2}\\\\x=\dfrac{-5+\sqrt{33}}{2},\ x=\dfrac{-5-\sqrt{33}}{2}[/tex]

Hence, in decimal for the solution is:

[tex]x=-5.372\ and\ x=0.372[/tex]

Answer:

The answer is 12.56636

Step-by-step explanation:

A =  πr²

A = area

r = radius

radius is half diameter, so the radius is 2. Plug  π (2)² into your calculator and you get 12.56636

If I were you, I would round it to the second decimal place, so 12.57, but it depends on what your teacher wants

The most appropriate domain for the given function is x ≥ 0.

The domain of a function represents the set of all possible input values, or x-values, for which the function is defined. In this case, the function f(x) = 40x - 80 represents the number of visitors a website received x days after it was created. Since time cannot be negative and the website exists only after it was created, the most appropriate domain for the function would be x ≥ 0. This ensures that the function is defined for all non-negative values of x, which aligns with the context of the problem.

Final answer:

To factor the expression y^3 - 9y^2 + y - 9 by grouping, divide it into two groups, factor out common factors, and note that (y - 9) is common to both, yielding the final factored form (y^2 + 1)(y - 9).

Explanation:

To factor by grouping the expression y3 − 9y2 + y − 9, we first split it into two parts where common factors are apparent:

(y3 − 9y2) and (y − 9)

Next, we factor out the common factors from each group:

y2(y − 9) + 1(y − 9)

Now, we notice that (y − 9) is a common factor in both terms. So, we factor (y − 9) out of the entire expression:

(y2 + 1)(y − 9)

This gives us the final factored form of y3 − 9y2 + y − 9, which is (y2 + 1)(y − 9).

Answer:

3

Step-by-step explanation:

Answer:

In the park's pool there are 7 less chlorine tablets as compared to safety standards.

Step-by-step explanation:

Number of chlorine tablets in 2,000 gallons water = 3 tablets

Number of tablets in 1 gallon of water = [tex]\frac{3}{2,000} tablets[/tex]

Number of tablet to be added in 10,000 gallons of water :

[tex]\frac{3}{2,000}\times 10,000 tablets=15 tablets[/tex]

Number of chlorine tablets added by lifeguard in 10,000 gallon water=8 tablets

Tablets of chlorine to be more added =

=15 tablets - 8 tablets = 7 tablets

In the park's pool there are 7 less chlorine tablets as compared to safety standards.

To determine the number of bacteria at midnight, we can use the concept of exponential growth in bacteria. We set up an equation and solve for the growth rate constant, then use the formula to calculate the number of bacteria at midnight.

To solve this problem, we can use the concept of exponential growth in bacteria. In this case, the number of bacteria is growing at a rate proportional to its size. We can set up an equation to represent the growth: dN/dt = kN, where N represents the number of bacteria and t represents time. Since the rate of growth is proportional to the current population, we can use the formula N(t) = N0ekt to calculate the number of bacteria at any given time.

In this case, we have the initial number of bacteria N0 = 6000 at 7:00 AM and N(t) = 6500 at noon, so we can plug these values into the formula and solve for k. Then we can use the formula again to calculate the number of bacteria at midnight.

By using this approach, we can determine the number of bacteria that will be present at midnight based on the given growth rate and initial population.

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Answer:

x is squared. is correct.

y = mx + b represents a line. The x term is to the first power. In y = −x2 + 1, the x is squared.

Answer:

The answer is In a medium

Step-by-step explanation:

Mechanical waves are waves that require a medium in which to travel, this involves a transfer of kinetic energy from one place to another in the material.