Forty liters of a 60% salt solution are being reduced to a 45% solution. How much
must be drained and replaced with distilled water so that the resulting solution will
contain only 45% salt solution?

Answer:

The answer to your question is  P = 17(π + 2) or 17π + 34

Step-by-step explanation:

Data

Diameter = 34 cm

Formula

P = rπ + 2r

Process

1.- Find the radius

radius = diameter / 2

radius = 34 / 2

radius = 17 cm

2.- Substitute the values in the formula

P = 17π + 2(17)

3.- Simplification

P = 17π + 34

4.- Factor

P = 17(π + 2)

The perimeter of the semi-circle with a diameter of 34 cm is 51π cm.

The perimeter of a semi-circle can be found by adding the length of the straight edge (which is equal to half the circumference of a full circle) to the diameter. In this case, the diameter is 34 cm.

The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. Since we only have half of the circle, we divide the circumference by 2 to get the perimeter of the semi-circle.

Therefore, the perimeter of the semi-circle is (πd/2) + d = (π * 34 cm / 2) + 34 cm = 17π cm + 34 cm = 51π cm.

Answer:

5/6

Step-by-step explanation:

Multiply both sides of equation by 10/3.

d = 1/4 × 10/3

d = 10/12 = 5/6

Step-by-step explanation:

If you divide by a fraction you can write it as multiplying with the opposite of that fraction

d=1/4 / 3/10

d=1/4 × 10/3=10/12=5/6

Final answer:

The possible numbers of players who must show up to practice so that the coach can make teams with 6 players on each team are any number that is divisible by 6.

Explanation:

In order for the coach to make teams with 6 players on each team, the total number of players must be a multiple of 6. This means that the possible numbers of players who must show up to practice are any number that is divisible by 6.

For example, if there are 6 players, they can all be on one team. If there are 12 players, they can be divided into two teams of 6 players each. If there are 18 players, they can be divided into three teams of 6 players each, and so on.

So, the possible numbers of players who must show up to practice are:
6, 12, 18, 24, 30, 36...

Answer:

7 1/2

Step-by-step explanation:

9-2=7

4/5*2/2=8/10

8/10-3/10=5/10

5/10=1/2

answer: 7 1/2

Answer:

75 / 10 or 7 1/2

Step-by-step explanation:

Answer:

48 cubes

Step-by-step explanation:

The complete question is

A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 unit cubes does it take to fill the prism?

step 1

Find the volume of the cube

The volume of the cube is equal to

[tex]V=b^{3}[/tex]

where

b is the length side of the cube

we have

[tex]b=\frac{1}{2}\ units[/tex]

substitute

[tex]V=(\frac{1}{2})^{3}[/tex]

[tex]V=\frac{1}{8}\ units^{3}[/tex]

step 2

To find out how many half-unit cubes are needed to fill the prism, divide the volume of the prism by the volume of the cube

[tex]6:\frac{1}{8}=48\ cubes[/tex]

We’ll use x to represent the mystery number.

“Sixteen less than” means subtraction, so we have 16 -

“Less than a number” simply means 16 - x

“Equals - 19” sets 16 - x equal to -19. In other words, 16 - x = -19

To solve, we subtract 16 to get x alone:

-x = -35

Divide the entire equation by -1 to make x positive:

-1(-x = -35) leaves us with x = 35

Answer:

  0 ≤ t ≤ 1

Step-by-step explanation:

The function can be factored as ...

  h(t) = -16t(t -1)

It will have non-negative values for t in the interval [0, 1]. Negative values of h don't make much sense in this context, so the reasonable domain is [0, 1].

Answer:

Divide the distance traveled by the rate.

Step-by-step explanation:

For example, if Cole drives his car 45 km per hour and travels a total of 225 km, then he traveled for 225/45 = 5 hours

Answer:

$40

Step-by-step explanation:

33 1/3% is equal to 1/3. 1/3 less than something is 2/3 of it. 2/3 of $60 is $40.

To find what is 33 1/3% less than $60, you multiply $60 by 2/3 (since removing 33 1/3% is equivalent to keeping 2/3 of the value). This calculation results in $40.

To find what is 33 1/3% less than $60, first, understand that 33 1/3% is equivalent to one third. Taking one third away from a number is the same as multiplying that number by 2/3 (since 1 - 1/3 = 2/3). Therefore, you would calculate $60 multiplied by 2/3 to get the answer.

$60 × 2/3 = $40.

So, 33 1/3% less than $60 is $40. This calculation shows how percentages can be easily translated into fractions for calculations that involve finding a percentage of a given number, or what a number is after it has been increased or decreased by a certain percentage.

Answer:

17t-11u

Step-by-step explanation:

8(t-u)+3(3t-u)

8t-8u+9t-3u

8t+9t-8u-3u

17t-11u

Answer:

y=-2

Step-by-step explanation:

this is a function

the input x = 2 so look for the line x=2

then look at the blue line, the function, and see at what point the line x=2 intersects the function. then find the value of the y coordinate of that point.

Answer:

Step-by-step explanation:

The given line has a negative slope. It means with increasing value of x, y will be decreasing. It has a negative y-intercept that is at x = 0, y is less than 0.

If the value of x will be greater than 0, the value of y will be going downwards continuously.

If x > 0, y < 0, as the line has a negative y-intercept.

A point in first quadrant means x > 0 as well as y > 0.

Hence, the line cannot pass through the first quadrant.

A line with a negative slope and a negative y-intercept will not pass through Quadrant I.

A line with a negative slope indicates that as the x-value increases, the y-value decreases. A negative y-intercept means that the line intersects the y-axis below the origin.

Quadrant I is the region of the coordinate plane where both x and y are positive. Since the line has a negative slope and a negative y-intercept, it will not intersect Quadrant I.

As the x-value increases in Quadrant I, both x and y will be positive, which contradicts the line's negative slope. Additionally, the line's negative y-intercept places it below the x-axis, further preventing it from intersecting Quadrant I.

Therefore, the line will pass through Quadrants II, III, and IV, but not Quadrant I.

Answer:

4875 / 57 = 85.53

Step-by-step explanation:

You are missing words, than I'm not sure what graham estimates...

The value of the quotient obtained after division is 85.5 which is close to the value estimated by Graham, so he is correct.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.

Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given data provided in the question,

Graham estimates the quotient about 80 and,

Julia estimates the quotient about 800.

The equation is,

4875 ÷ 57 = 85.5

The value of the quotient is 85.5 which is close to the value estimated by Graham, then he is correct.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ5

Answer:

Step-by-step explanation:

3y - 6 = 18

3y = 24

y = 8

Answer:

8

Step-by-step explanation:

Answer:

2 sqrt of 218

Answer:

29.1890390387

Step-by-step explanation:

please give brainliest just need 4 more

Answer:

least number of quilts is gonna be 10

Step-by-step explanation:

ok...so profit = revenue - expenses

n = # of quilts

revenue : (the money made from the quilts)

she sold each quilt for 35 bucks......35n

expense : (the money Norma spent on the materials)

the cost of fabric is 13.55 per quilt......13.55n

so ur expression is :

revenue - expenses

35n - 13.55n <==== this is part A

==========================

she wants to make a profit of 200...

P = revenue - expenses

200 = 35n - 13.55n

200 = 21.45n

200 / 21.45 = n

9.32 = n.......gonna have to round up to 10 <==== part B

ok...so 9 quilts is not gonna be quite enough...so shes gonna have to make 10.

Answer:

y= -2x+4

Step-by-step explanation:

To find the slope find 2 points and use "rise/run", that will get -2

To find the y-intercept look at where the line crosses the y-axis. that will be 4

so -2x+4

6 groups of 18 buttons would translate into multiplication.

6 x 18 = 108 buttons total that Malia has.

Final answer:

To determine the total number of buttons Malia has, multiply the number of groups (6) by the number of buttons per group (18), resulting in 108 buttons altogether.

Explanation:

The question concerns a basic arithmetic operation of multiplying two numbers together to find the total quantity of items. Malia has 6 groups of 18 buttons each.

To find out how many buttons she has altogether, we need to perform a multiplication of the two numbers. Multiplying the number of groups by the number of buttons in each group gives us:

Multiply the number of groups (6) by the number of buttons per group (18).

6 groups × 18 buttons per group = 108 buttons.

Therefore, Malia has 108 buttons altogether.

Answer: four raised to the one third power

Step-by-step explanation:

According to the written description, we have the following expression:

[tex]\sqrt{\frac{4}{\sqrt[3]{4}}}[/tex]

Which can also be written as:

[tex](\frac{4}{4^{\frac{1}{3}}})^{\frac{1}{2}}[/tex]

Let's work with this, taking into account the rules of multiplication and division of power with the same base:

[tex](4^{1-\frac{1}{3}} )^{\frac{1}{2}}=(4^{\frac{2}{3}})^{\frac{1}{2}}[/tex]

Multiplying the exponents:

[tex]4^{\frac{1}{3}}[/tex] This is read as "four raised to the one third power"

Answer:

The answer is B

Step-by-step explanation:

If you need an explanation just text me I'll be happy to help but you said you just needed an answer so im just doing this quickly.  You do FLVS too?

I got it right on the test i just took it algebra 1

Answer:

  (x, y) = (3, -6)

Step-by-step explanation:

I like a good graphing calculator for solving systems of equations by graphing.

__

If you're solving these by hand, you need to graph the equations. It can be convenient to put the equations into "intercept form" so you can use the x- and y-intercepts to draw your graph.

That form is ...

  x/(x-intercept) +y/(y-intercept) = 1

Dividing a standard-form equation by the constant on the right will put it in this form.

  x/(-12/2) +y/(-12/3) = 1 . . . . . . divide the first equation by -12

  x/(-6) +y/(-4) = 1 . . . . . . . . . . . the x-intercept is -6; the y-intercept is -4

__

  x/(12/10) +y/(12/3) = 1 . . . . . . divide the second equation by 12

  x/1.2 +y/4 = 1 . . . . . . . . . . . . . the x-intercept is 1.2*; the y-intercept is 4

__

The locations of these intercepts and the slopes of the lines tell you that the solution will be in the fourth quadrant. The lines intersect at (x, y) = (3, -6).

_____

* It can be difficult to draw an accurate graph using an intercept point that is not on a grid line. It may be desirable to put the second equation into slope-intercept form, so you can see the rise/run values that let you choose grid points on the line. That equation is y =-10/3x +4. A "rise" of -10 for a "run" of +3 will get you to (3, -6) starting from the y-intercept of (0, 4).

Answer: 5 players on each team

Step-by-step explanation:

5+7+8= 4/20

Answer:

Step-by-step explanation:

26 messages during 13 days...

26/13 = 2 texts per day <===

Answer:

[tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]

Step-by-step explanation:

Given:

Given expression is.

[tex]= a^{\frac{5}{2}}[/tex]

We need to write the given expression in radical form.

Solution:

Rewrite the expression as.

[tex]= a^{\frac{5}{2}}[/tex]

Now we extract power as [tex](a^{m})^{\frac{1}{n} }=a^{\frac{m}{n}}[/tex]

[tex]=(a^{5})^{\frac{1}{2} }[/tex]

Now we write the above expression in radical form and simplify.

[tex]=\sqrt[2]{(a^{5})}[/tex]

[tex]=\sqrt[2]{(a\times a)\times (a\times a)\times a}[/tex]

[tex]=\sqrt[2]{a^{2}\times a^{2}\times a }[/tex]

[tex]= a\times a\times \sqrt[2]{a}[/tex]

[tex]= a^{2}\times \sqrt[2]{a}[/tex]

[tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]

Therefore, the radical form of the given expression [tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]

Answer:

34.9 %

Step-by-step explanation:

(22 ÷ 63) ×100 = 34.9206...

=34.9 %

Im BIg Brain SoryStep-by-step explanation:

Answer:Tag 30*(2\/3)=x

Step-by-step explanation:

Tag 30*= x/2\/3;

Tag 30*(2\/3)=x

Answer:

The answer is r = -3.

Step-by-step explanation:

Given:

-60=-24+12r.

Now, to solve it:

[tex]-60=-24+12r[/tex]

Adding both sides by 24 we get:

[tex]-36=12r[/tex]

Dividing both sides by 12 we get:

[tex]-3=r[/tex]

[tex]r=-3.[/tex]

Therefore, the answer is r = -3.

Answer:

-1/3

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

Answer:     [tex]m<1 = 87[/tex]°

Step-by-step explanation:

Alright, lets get started.

The exterior angle of the triangle is given as 124°

Hence the interior angle of the triangle will be : [tex]180-124[/tex]

Hence the interior angle of the triangle will be : [tex]56[/tex]°

So two interior angles of the triangle are : 56° and 37°

The sum of all three angles of a triangle is 180°

So,

[tex]x+56+37=180[/tex]

[tex]x+93=180[/tex]

[tex]x=87[/tex] °

Hence the measure of angle1 will be 87°   :   Answer

Hope it will help :)

Answer:

C. 87

Step-by-step explanation:

x = 87

Answer:

X=14

Step-by-step explanation:

Sin30=7/x

1/2=7/x

Cross multiply

2×7=14

1×x=x

X=14