What is 485=? Tens +5units

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Question reads....}[/tex]

[tex]\large\textbf{What is }\rm{\bf \dfrac{3}{8}}\large\textbf{ equivalent to?}[/tex]

[tex]\huge\textbf{Now, let's solve for the given question:}[/tex]

[tex]\mathbf{\dfrac{3}{8}}[/tex]

[tex]\mathbf{= \dfrac{3\times2}{8\times2}}[/tex]

[tex]\mathbf{\approx \dfrac{3 + 3}{8 + 8}}[/tex]

[tex]\mathbf{= \dfrac{6}{16}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{\dfrac{6}{16}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The plot of the given line is required.

The graph is shown below with two points [tex](0,-6)[/tex] and [tex](-3,0)[/tex].

The line is

[tex]y-2=-2(x+4)\\\Rightarrow y=-2x-8+2\\\Rightarrow y=-2x-6[/tex]

Let us find two points on the line

[tex]x=0[/tex]

[tex]y=-2\times0-6=-6[/tex]

[tex](0,-6)[/tex]

[tex]y=0[/tex]

[tex]0=-2x-6\\\Rightarrow x=\dfrac{6}{-2}=-3[/tex]

[tex](-3,0)[/tex]

Join the two points on the graph and the line will be constructed.

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Answer:

T = HN + r

Step-by-step explanation:

A handyman charges $H for each hour worked.

If the handyman works for N hours then the expression for the charges will be = $HN

Handyman charges a fixed amount = $r

Then the total amount charged T will be represented by

T = HN + r

Therefore, formula to calculate the total charges by handyman will be

T = HN + r

Final answer:

The electrician would take approximately 3 months to wire 55 houses at a rate of 4.5 houses per week.

Explanation:

An electrician can wire 4.5 houses per week.

To wire 55 houses at a rate of 4.5 houses per week, the electrician would take 55 / 4.5 = 12.22 weeks. As there are 4.5 weeks per month, dividing the total weeks by the weeks per month gives 12.22 / 4.5 = 2.72 months, which rounds up to 3 months.

For this case, what you should do is observe in the graph the value of the function when x = -4.

The value of the function is observed when looking at the vertical axis.

Remember that in a function of the form y = f (x) we have:

x: independent variable

y: dependent variable.

Therefore, for x = -4 we have:

f (-4) = 4

Answer:

The value of the function evaluated at x = -4 is given by:

f (-4) = 4

To find the dimensions of an open rectangular tank that holds 4.5 m3 of liquid with minimal material, set the length as twice the breadth and use calculus optimization to derive the breadth, length, and height.

The student is asking for the dimensions of an open rectangular tank that can hold 4.5 m3 of liquid, where the length is twice the breadth, and the amount of material used should be minimal. To solve this, we will use optimization techniques often found in calculus.

Let the breadth be b, the length be l = 2b, and the height be h. The volume V of the tank is given by V = l \b \h = 4.5 m3. Therefore, 2b2h = 4.5.

The surface area A of the tank, which we need to minimize, is A = 2lh + 2bh + lb (since the top is open). Substituting l = 2b, we get A = 2(2b)h + 2bh + (2b)b.

From the volume equation, we can express h in terms of b, which is h = 4.5 / (2b2). Substituting this into the area equation and differentiating it with respect to b will give us a minimum. Finally, solving the equations will determine the breadth, from which we can find the length and height. By this process, we can find the dimensions with the least surface area.

There are 22 boys in Billy's class of 40 students, which means that 55% of the students are boys.

To find the percent of students that are boys in Billy's class, we can start by calculating the number of boys. There are 40 students in total and 18 are girls. Therefore, the number of boys is 40 students minus 18 girls, which is 22 boys. Now, to calculate the percentage of boys, we use the formula:

Percentage = (Number of boys / Total number of students) × 100%

By inserting the numbers we have:

Percentage = (22 / 40) × 100%

Percentage = 0.55 × 100%

Percentage = 55%

So, 55% of the students in Billy's class are boys.

A. The total outcomes would simply be the product of the number of sides of the two dice, that is:

Total different outcomes = 6 * 6

Total different outcomes = 36

B. The combinations that both dice are even are:

2 – 2, 4 – 4, 6 – 6, 2 – 4, 2 – 6, 4 – 2, 4 – 6, 6 – 2, 6 – 4

So 9 combinations for Jenny

C. The combinations that at least one die is a 4 are:

4 – 4, 4 – 1, 4 – 2, 4 – 3, 4 – 5, 4 – 6, 1 – 4, 2 – 4, 3 – 4, 5 – 4, 6 - 4

So 11 combinations for Henry

D. The probability that jenny wins would simply be the ratio of the number of combinations for Jenny over the total number of combinations, that is:

P (Jenny) = 9 / 36 = 0.25 = 25%

So there is a 25% chance that Jenny will win.

E. The probability that Henry wins would simply be the ratio of the number of combinations for Henry over the total number of combinations, that is:

P (Henry) = 11 / 36 = 0.3056 = 30.56%

So there is a 30.56% chance that Jenny will win.

F. No the game is not fair because Henry has a higher chance of winning than Jenny. For it to be fair, they should have the same probability of winning.

G. We can see that there are actually combinations in which both Jenny and Henry would win. These are:

4 – 4, 4 – 2, 4 – 6, 2 – 4, 6 – 4

So there are 5 combinations in which both of them would win.

So the chance of being tie is:

P(tie) = 5 / 36 = 0.1389 = 13.89%

Hence a 13.89% chance of getting a tie

Answer: False

Step-by-step explanation:

You can see 7*3*2*f*g is not the same as 7fg3, so the statement is false.

Answer:

Graph 2

Step-by-step explanation:

Given system of inequalities,

−2x + y ≤ 4,

y > x + 2

∵ Related equation of −2x + y ≤ 4 is,

-2x + y = 4 ⇒ y = 4 + 2x ----(1)

While, the related equation of y > x + 2 is,

y = x + 2

From equation (1),

4 + 2x = x + 2 ⇒ 4 + 2x - x = 2 ⇒ 4 + x = 2 ⇒ x = 2 - 4 ⇒ x = -2

Again by equation (1),

y = 4 + 2(-2) = 4 - 4 = 0

Hence, the intersection point of the related equation is (-2,0),

∴ Graph 1 and graph 3 can not be the graph of the given system.

Now, −2(0) + (0)  ≤ 4 ( true )

That is, −2x+y ≤ 4 would contain the origin,

Also, 0 > 0 + 2 ( False )

That is, y > x + 2 does not contain the origin.

Therefore, by the above explanation it is clear that,

Grap 2 represents the solution set of the system of inequalities.