How many gallons of pure water must be added to 10 gal of 30% salt water to make a solution that is 25% salt water?

Answer:

The answer is translation :)

Answer:

x = 6, solution is not extraneous

Step-by-step explanation:

If you go and plug in 6 then the equation works well and there are no extraneous solutions.

Answer: It would take 8 hours!!

Step-by-step explanation: Hope this helps!! <3

Answer:

Peter will complete the job in 8 hours

Step-by-step explanation:

Notice that  5 1/3 hours is  16%2F3  hours.

So, their combined rate of work is  1%2F%28%2816%2F3%29%29  = 3%2F16  of the job per hour.

Steven's rate of work is  1%2F16  of the job per hour.

Hence, Peter's rate of work is the difference  3%2F16 - 1%2F16 = 2%2F16 = 1%2F8  of the job per hour.

It implies that Peter will complete the job in 8 hours, working alone.

Answer:

5 weeks

Step-by-step explanation:

319.50-21.95=297.55

297.55/63.00=4.72

Since he can't wait for those many weeks, you would round it to 5 so he has enough money

Answer:

-2 is the answer

Step-by-step explanation:

i hope this helped

Answer:

2

Step-by-step explanation:

Make a common denominator so -5/8 would be -10/8. It is now -10/16 divided by -5/16. Cancel out the 16 and you get -10 divided by -5. The answer is 2. Brainliest would be nice if I helped you out. Thanks.

Answer:

5 and 1/2

Step-by-step explanation:

[tex]\huge\mathbb\purple{AnSwEr}[/tex]

[tex]\huge❤\bold\red{Hello}❤[/tex]

Hey mate 1.5miles per hour is your Answer

[tex]My \: pleasure \: to \: help \: you \: anytime.[/tex]

[tex]Mark \: me \: as \: brainliest .[/tex]

[tex] \huge \mathscr \pink \star\underline {Follow \: me } \red \star[/tex]

Answer:

Given - Angles measure 2x , X and 3x

To find - Measures of 2x

Solution -

2x + X = 180° ( forming linear pair )

3x = 180°

x = 180/3

x = 60°

2x = 2 × 60 = 120°

Answer:

120°

plz give brainlist

Step-by-step explanation:

since 2x and x form a straight angle you get the equation

2x + x = 180

combine like terms

3x = 180

devide by 3

x = 60

evaluate 2x

2(60) = 120

Answer:

D

Step-by-step explanation:

I just did this test and D was the right answer.

The graph that best represents Alyssa's speed over time can be determined by using the given data. The correct option is C).

Given :

Alyssa is learning to drive her parents' car.

The following steps can be in order to determine the graph that best represents Alyssa's speed over time:

Step 1 - The graph must be plotted between speed vs time.

Step 2 - According to the given data, Alyssa increases her speed for 20 seconds, which means the graph is increasing gradually up to the next 20 seconds.

Step 3 - Now, she slows down for 10 seconds that is, the graph decreases up to the next 10 seconds.

Step 4 - Now, she stays at approximately the same speed for the next 20 seconds that means the graph is constant for up to the next 20 seconds.

Step 5 - Now, she then slows down to a stop for the last 5 seconds that means the graph again decreases for the next 5 seconds.

From the above steps, it can be concluded that option C) is correct.

For more information, refer to the link given below:

https://brainly.com/question/14375099

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*x-(4*y-7)=0

STEP

1

:

Equation of a Straight Line

1.1     Solve   3x-4y+7  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x-4y+7  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/4 so this line "cuts" the y axis at y= 1.75000

 y-intercept = 7/4  =  1.75000

Calculate the X-Intercept :

When y = 0 the value of x is -7/3 Our line therefore "cuts" the x axis at x=-2.33333

 x-intercept = -7/3  = -2.33333

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.750 and for x=2.000, the value of y is 3.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.250 - 1.750 = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  1.500/2.000 =  0.750

Geometric figure: Straight Line

 Slope = 1.500/2.000 = 0.750

 x-intercept = -7/3 = -2.33333

 y-intercept = 7/4 = 1.75000

Answer:

Step-by-step explanation:

2x-10=4x

-10=4x-2x

-10=2x

-10÷2=x

-5=x

Answer:

8=4x+5

Step-by-step explanation:

Slope-intercept form: y=mx+b

1. Identify your terms:

x: 4

y:8

b/slope: 5

2. Solution:

8=4x+5

Answer:

1.5

Step-by-step explanation:

Answer:

f(x) = 5x + 350

Step-by-step explanation:

Create 2 points using the information given, where x is the number of pounds of coffee and y is the cost.

The 2 points are (100, 850) and (500, 2850)

Then, use rise over run to find the slope:

(y2 - y1) / (x2 - x1)

(2850 - 850) / (500 - 100)

2000 / 400

= 5

Then, plug in the slope and a point into y = mx + b to find b:

y = mx + b

850 = 5(100) + b

850 = 500 + b

350 = b

Plug in the slope and y intercept into y = mx + b to get the equation:

y = 5x + 350

Put it into function form:

f(x) = 5x + 350 is the cost function

Answer:

-5.5

Step-by-step explanation:

Answer:

One Solution: x = 1

Step-by-step explanation:

Step 1:

10x - 9x + 1 = 1 + 5 - 4       Equation

Step 2:

x + 1 = 2          Combine Like Terms

Step 3:

x = 2 - 1        Subtract 1 on both sides

Answer:

x = 1

Hope This Helps :)

Answer:

the perimeter of a square with sides 2.5 mm long is b.10 mm.

Answer:

Step-by-step explanation:

30. Given: rectangles QRST and RKST

     Prove: ΔQSK is isosceles

An isosceles triangle is a triangle which has two sides and two angles to be equal.

Thus,

From rectangle QRST, the diagonals of rectangles are similar.

i.e RT ≅ QS (diagonal property)

Also, RT ≅ SK (opposite sides of rectangle RKST)

Thus,

RT ≅ QS  ≅ SK

Therefore,

ΔQSK is an isosceles triangle.

31. Given: Rectangles QRST, RKST and JQST

     Prove: JT ≅ KS

From rectangle QRST, the diagonals of rectangles are similar.

i.e RT ≅ QS (diagonal property)

But,

JT // QS and RT // KS

Thus,

JT ≅ QS (opposite sides of rectangle JQST)

also,

RT ≅ KS (opposite sides of rectangle RKST)

So that,

JT ≅ QS ≅ RT ≅ KS

Therefore,

JT ≅ KS

Answer:

The side lengths are 5, 12, 13

Step-by-step explanation:

These are the side lengths we know before we have solved the problem.

a= x   b= x+7   c= 13

If we put this into the Pythagorean theorem, we get

[tex]13^{2} = x^{2} +(x+7)^{2}[/tex]

Expand

[tex]169 = 2x^2+14x+49\\[/tex]

Subtract 169 from both sides

[tex]0 =2x^2+14x-120[/tex]

Solve using the quadratic formula

a= 2   b= 14   c= -120

[tex]\frac{-14\pm \sqrt{14^2-4\cdot \:2\left(-120\right)}}{2\cdot \:2}[/tex]

[tex]x= \frac{-14\pm \:34}{2\cdot \:2}[/tex]  

If we separate the solutions we get

[tex]x= \frac{20}{4} = 5[/tex]

and

[tex]x= \frac{-48}{4} = -12[/tex]

Since this is a question about length, we can ignore the negative.

So the longer leg is 12ft and the shorter leg is 5ft

The shorter length is 5feet and the longer length is 12 feet

Let the shorter leg = x

Let the longer leg = x+7

Therefore,

x² + (x+7)² = 13²

x² + x² + 14x + 49 = 169

Collect like terms

2x² + 14x + 49 - 169 = 0

2x² + 14x - 120 = 0.

Divide by 2

x² + 7x - 60

By using quadratic equation

x² + 12x - 5x - 60

x(x + 12) - 5(x + 12)

Therefore, x - 5 = 0

x = 0 + 5.

x = 5

The shorter length is 5ft

Longer length = 5+7 = 12 feet

Read related link on:

https://brainly.com/question/19574344

Answer:

[tex]s = 54m +160[/tex]

Step-by-step explanation:

Given: The attachment

Required: Determine the equation

We start by picking any two equivalent points on the table:

[tex](m_1,s_1) = (2,268)[/tex]

[tex](m_2,s_2) = (4,376)[/tex]

Next, we determine the slope, M:

[tex]M = \frac{s_2 - s_1}{m_2 - m_1}[/tex]

[tex]M = \frac{376 - 268}{4-2}[/tex]

[tex]M = \frac{108}{2}[/tex]

[tex]M = 54[/tex]

The equation is then calculated as:

[tex]s - s_1 = M(m - m_1)[/tex]

Where:

[tex]M = 54[/tex]

[tex](m_1,s_1) = (2,268)[/tex]

So, we have:

[tex]s - 268 = 54(m - 2)[/tex]

Open bracket

[tex]s - 268 = 54m - 108[/tex]

Collect like terms

[tex]s = 54m - 108 + 268[/tex]

[tex]s = 54m +160[/tex]

Hence, the equation is: [tex]s = 54m +160[/tex]

Answer:

a)= 2

b) 6.324

c) P= 0.1217

Step-by-step explanation:

a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)

b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by

σ_X`1- X`2 = √σ²/n1 +σ²/n2

Var ( X`1- X`2) = Var X`1 + Var X`2 =  σ²/n1 +σ²/n2

so

σ_X`1- X`2 =√20 +20 = 6.324

if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.

Where as Z is normally distributed with mean zero and unit variance.

If we take X`1- X`2= 0 and u1-u2= 2  and standard deviation of the sampling distribution = 6.324 then

Z= 0-2/ 6.342= -0.31625

P(-0.31625<z<0)= 0.1217

The probability would be 0.1217

Answer:

-315 + 100 & -230 + 15

Step-by-step explanation:

Answer:

For the first one:

416/96

For the second one:

270/180

Step-by-step explanation:

Answer:

164 cookies each

Step-by-step explanation:

divide 492 by 3. 3 Because it says Diana and her friends, and 492 because that is the total cookie count.

Answer:

-300

Step-by-step explanation:

z = -21/0.07

z = -300

Answer:

-300

Step-by-step explanation:

Divide -21 by 0.07 to get -300

Answer:

y=4/3x-7

Step-by-step explanation:

The slope intercept formula y=mx+b, m being the slope and b being the y-intercept so all we have to do is find those and plug them in to get the answer.

Answer:

3 years

Step-by-step explanation:

Answer:

optimal price = $35

Maximum profit = $3400

Step-by-step explanation:

We are given;

The annual fixed cost for the hominy harvesting and other equipment = $200

The variable cost per case = $20

Since demand is given as v, thus total variable cost = 20v

Thus;

Overall total cost = fixed cost + total variable cost = 200 + 20v

We are given relationship between p and v as;

v = 800 - 16p

Making p the subject gives;

p = (800 - v)/16

Now, total revenue is given by;

Total Revenue = vp

Thus;

Total revenue = v[(800 - v)/16] = 50v - v²/16

Now, profit will be;

Profit(P) = Total revenue - total cost

P = (50v - v²/16) - (200 + 20v)

P = 50v - (v²/16) - 200 - 20v

P = 30v - (v²/16) - 200

Maximum profit will be at dP/dv = 0

Thus;

dP/dv = 30 - (v/8)

At dP/dv = 0

30 - (v/8) = 0

v/8 = 30

v = 30 × 8

v = 240

Optimal price will be gotten by putting 240 for v in the price equation which is p = (800 - v)/16.

Thus;

p = (800 - 240)/16

p = 560/16

p = $35

So, optimal price = $35

Maximum profit will be at v = 240.so let's plug in 240 for v into the profit equation.

Thus;

P = 30(240) - (240²/16) - 200

P = 3400

Maximum profit = $3400

Answer:

192 times

Step-by-step explanation:

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Answer:

365 more meters

Step-by-step explanation:

490-125=365