what is 4 1/2 * 2 1/7 as a mixed number in simplest form?

Answer:

4

Step-by-step explanation:

Answer:

If there's a zero in the tenths place and your round down, keep the zero in your answer. For example, 4.03 rounded to the nearest tenth in 4.0.

Answer:

11

Step-by-step explanation:

AB = 3x + 4 and AC which is twice of AB is equal to 11x - 17

2 (3x + 4) = 11x - 17

6x + 8 = 11x - 17

8 + 17 = 11x - 6x

25 = 5x

5 = x

AC = CD = 11x - 17 ➡ 11×5 - 17 = 38

CD = 38 and DE = 49 - 38 = 11

Answer:

38

Step-by-step explanation:

if x is an even integer then the two other even integers are x+2 and x+4.

x+x+2+x+4=108

3x+6=108

3x=108-6

3x=102

x=102/3

x=34.

⇒the largest number from x, x+2 and x+4 is x+4.

x+4=34+4=38

Answer:

38

Step-by-step explanation:

good luck on your assignment

Answer:

The interest rate on the account is 2.1%

Step-by-step explanation:

Compound interest is one that is added to the initial capital and on which new interests are generated. Money, in this case, has a multiplier effect because interest produces new interest. In other words, the initial capital increases in each period because the interests add up.

To calculate the final capital, the initial capital is multiplied by one plus the interest, raised to the number of periods:  

[tex]A=P*(1+\frac{r}{n}) ^{n*t}[/tex]

where

In this case:

Replacing, you get:

[tex]3,439.96=3,104.31*(1+\frac{r}{4}) ^{4*5}[/tex]

Now, solving:

[tex]\frac{3,439.96}{3,104.31} =(1+\frac{r}{4}) ^{20}[/tex]

[tex]\sqrt[20]{1.1081} =(1+\frac{r}{4})[/tex]

[tex]1.00514 =1+\frac{r}{4}[/tex]

[tex]1.00514 -1=\frac{r}{4}[/tex]

[tex]0.00514=\frac{r}{4}[/tex]

r=0.0051*4

r= 0.02056

In percentage it is expressed as: r= 2.056 %≅ 2.1 %

The interest rate on the account is 2.1%

Answer:

Step-by-step explanation:

Given the incomplete quadratic equation [tex]\[x^2 + \dfrac{4}{5}x + \underline{~~~~}\][/tex], we are to complete it so that the result will be the square of a binomial. To do that, we will use the completing the square method.

Completing the square method is a way of completing a quadratic equation by solving for a constant to add that will make the quadratic equation a perfect square of a binomial.

To get the constant term using the method, we will take the square of the alf of the coefficient of x in the equation given.  

Coefficient of x = 4/5

half of the coefficient of x = 1/2(4/5)

half of the coefficient of x = 4/10 = 2/5

Square of the half of the coefficient of x = (2/5)²

Square of the half of the coefficient of x = 4/25

Hence the constant that we will use to complete the equation to make if a square of a binomial is 4/25

The equation will become:

[tex]= \[x^2 + \dfrac{4}{5}x +\dfrac{4}{25} \\\\= \[x^2 + \dfrac{4}{5}x +(\dfrac{2}{5})^2\\\\= (x +\dfrac{2}{5})^2[/tex]

Hence the constant value that will make the resulting quadratic the square of a binomial is 4/25

Answer:

4/25

Step-by-step explanation:

Suppose the quadratic is the square of the binomial $x+c.$ We have $(x+c)^2 = x^2+2cx + c^2.$ Comparing the linear term of $x^2 + 2cx+c^2$ to the linear term of $x^2 + \frac{4}{5}x + \underline{~~~~},$ we have $2c = \dfrac{4}{5},$ so $c = \dfrac{2}{5}.$ Therefore, the constant term is

\[c^2  = \left(\dfrac{2}{5}\right)^2 = \boxed{\frac{4}{25}}.\]

Answer:

a) 18.5832 m^2

b) length 5.34 ≈ to one decimal point 5.3m

width 3.48 ≈ to one decimal point 3.5m

Step-by-step explanation:

Answer:

the answer is 10

Step-by-step explanation:

*please give me brainliest, i only need four more*

Answer:

-10

I did the math

(-4)-6

Answer:

[tex]6\sqrt{7}[/tex]

Step-by-step explanation:

If you bring 252 to its prime numbers, its 2, 2, 3, 3, and 7. Just multiply 2 and 3 and you get 6 root 7.

The expression equivalent to the square root of 252 is 6[tex]\sqrt{7}[/tex].

That number which can be divided by itself or 1 only. eg. 2, 3, 5, 7, 11, 13 etc.

Given value,

252

Expressed in prime numbers as:

252 = 2x2x3x3x7 or [tex]2^{2}[/tex] x [tex]3^{2}[/tex] x 7

∴ [tex]\sqrt{252}[/tex] = 2x3 [tex]\sqrt{7}[/tex] = 6 [tex]\sqrt{7}[/tex]

Hence [tex]\sqrt{252}[/tex] can be expressed as 6 [tex]\sqrt{7}[/tex]. Similarly any real number can be represented as the product of prime numbers.  

To learn more about prime numbers, refer to the link:

https://brainly.com/question/9315685

#SPJ2

Answer:

5 + x

Step-by-step explanation:

x more than 5 is 5 + x

Answer:

5+x

Step-by-step explanation:

x more than 5.

More than means it comes after

5+x

Answer:

1679 ?

Step-by-step explanation:

Do you have more information?

Answer:

I think you need to link the question or a picture of the jar

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Given the expression:

[tex](\dfrac{(2^{-1}\times 3^2)}{(2^{2}\times 3^{-4})})^\frac{7}{2} \times (\dfrac{(2^{-2}\times 3^3)}{(2^{3}\times 3^{-5})})^\frac{-5}{2}[/tex]

We have to simplify the above expression.

Let us have a look at a few formulas:

[tex]1.\ a^b = \dfrac{1}{a^{-b}}[/tex]

[tex]2.\ a^b\times a^c = a^{b+c}[/tex]

[tex]3.\ (a^b ) ^c = a^{bc}[/tex]

Now, let us try to solve the given above expression using the formulas:

[tex]\Rightarrow (\dfrac{(3^{4}\times 3^2)}{(2^{2}\times 2^{1})})^\frac{7}{2} \times (\dfrac{(3^{5}\times 3^3)}{(2^{3}\times 2^{2})})^\frac{-5}{2}[/tex]

[tex]\Rightarrow (\dfrac{(3^{4+2})}{(2^{2+1})})^\frac{7}{2} \times (\dfrac{(3^{5+3})}{(2^{3+2})})^\frac{-5}{2}\\\Rightarrow (\dfrac{3^{6}}{2^{3}})^\frac{7}{2} \times (\dfrac{3^{8}}{2^{5}})^\frac{-5}{2}\\\Rightarrow (\dfrac{3^{\frac{42}{2}}}{2^{\frac{3\times 7}{2}}})\times (\dfrac{2^{5}}{3^{8}})^\frac{5}{2}\\\Rightarrow (\dfrac{3^{21}}{2^{\frac{21}{2}}})\times (\dfrac{2^{\frac{5\times 5}{2}}}{3^{\frac{8\times 5}{2}}})[/tex]

[tex]\Rightarrow (\dfrac{3^{21}}{2^{\frac{21}{2}}})\times (\dfrac{2^{\frac{25}{2}}}{3^{20}})\\\Rightarrow {3^{1}}\times {2^{\frac{25-21}{2}}}\\\Rightarrow 3\times 4 \\\Rightarrow \bold{12}[/tex]

Answer:negative

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

s= number of shirts

3/2= constant of proportionality

Step-by-step explanation:

Josh takes a load of dress shirts to the dry cleaners. The amount he pays for dry cleaning (

f. is given by the equation f=3/2s, where s is the number of shirts. What is the constant of proportionality in terms of the cost per shirt?

Given:

f= 3 / 2s

Where,

f= amount Josh paid for dry cleaning

s= number of shirts

3= constant of proportionality

2= amount paid per shirt

For example, if Josh took 3 shirts to the dry cleaner, the amount Josh will pay is

f= 3 / 2s

= 3 / 2(3)

= 3 / 6

= 1 / 2

f= 1 /2

Answer:

The speed of the stream is 5 km/hr.

Step-by-step explanation:

- Let's assume that the speed of stream is = x km/h

- Speed of boat in still water v = 15 km/h

- Total time taken = 4 hour and 30 mins or 9/5 hrs

- Distance covered (one way) = 30 km/s

Then,

Speed of boat downstream =( 15 + x ) km/h

Time taken downstream = (30/15 + x ) hrs

As time = distance / speed

Speed of boat upstream = ( 15 - x ) km/h

Time taken upstream =( 30/15 - x ) hrs

Now,

     Total time taken = Time taken downstream + Time taken upstream

or, 9/2 = (30/15 + x ) + (30/15 - x )

or, x = 5 km/h

The speed of the stream is 5 km/h

I hope my answer helps

Answer:

4:18 pm

Step-by-step explanation:

An airport offers two shuttles that run on different schedules.If both shuttles leave the airport at 4:00 p.m.,at what time will they next leave the airport together.

Shuttle A leaves every 6 minutes

Shuttle B leaves every 9 minutes

Shuttle A: 4:00 pm

Leaves every 6 minutes

Next 4:06 pm

Next: 4:12 pm

Nex: 4:18 pm

Next: 4:24 pm

Shuttle B: 4:00 pm

Leaves every 9 minutes

Next: 4:09 pm

Next: 4:18 pm

Next: 4:27 pm

Next: 4:36 pm

The next time both shuttles will leave the airport together is 4:18 pm

we'll divide 10 by 5..the answer is 2 then we'll add it to the other 5 making it to be 7

Answer: 7

How to: To add fractions, find the LCD and then combine.

F(1) would be the y value of where the line is at x =1

At x = 1, the line is at y =3

The answer is D. F(1) = 3

Answer:

33 hours

Step-by-step explanation:

[tex]\frac{11}{3} *9 =33[/tex]

Answer:

6 3/4 hours

Step-by-step explanation:

divide 9 by 1 1/3. You get 6.75 which is converted to 6 and 3/4 hours.

Answer:

y=5x+2

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-4,-18), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-4 and y1=-18.

Also, let's call the second point you gave, (0,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=0 and y2=2.

Now, just plug the numbers into the formula for m above, like this:

m= (2 - -18)

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

(0 - -4)

or...

m= 20

-------

4

or...

m=5

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=5x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-4,-18). When x of the line is -4, y of the line must be -18.

(0,2). When x of the line is 0, y of the line must be 2.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=5x+b. b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-4,-18) and (0,2).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(-4,-18). y=mx+b or -18=5 × -4+b, or solving for b: b=-18-(5)(-4). b=2.

(0,2). y=mx+b or 2=5 × 0+b, or solving for b: b=2-(5)(0). b=2.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(-4,-18) and (0,2)

is

y=5x+2

Answer:

5 is a solution

Answer: I am pretty sure it is a rational number!

Step-by-step explanation:

Answer:

The answer is -7

5k=-30-5.

5k=-35.

k= -7.

Hi there! Hopefully this helps!

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

[tex]-30=5k+5[/tex]

Swap sides so that all variable terms are on the left hand side.

[tex]5k+5=-30[/tex]

Subtract 5 from both sides.

[tex]5k=-30-5[/tex]

Subtract 5 from −30 to get −35.

[tex]5k=-35[/tex]

Divide both sides by 5.

[tex]k=\frac{-35}{5}[/tex]

You can also do "5(-7) + 5 = ??" For proof.

Answer: 25

Step-by-step explanation: He scored 25 in the game

Answer:

Distributive property

Step-by-step explanation:

Answer:

Distributive property

Step-by-step explanation:

I got it rigth on edge

hope this helps!

Answer:

I think thats false

Step-by-step explanation:

Tell them false there isn't much evidence and if you tried to search it up thats not correct or the correct way to solve it theyre trying to trick you.

Answer:

Step-by-step explanation:

Use FOIL method

F -> First

O Outside

I inside

L Last

(a - b)(a + 2b)= a*a + a *2b + (-b)*a + (-b)*2b

                     = a² + 2ab - ab - 2b²

Combine like terms

                       = a² + ab - 2b²