A student has a 2% salt water solution and a 7% salt water solution. To best imitate salt water at a local beach, he needs 1 liter of a 3.5% salt water solution. He defines x as the amount of 2% solution and writes this equation:

0.2x + 0.7(x – 1) = 0.35(1)
He solves the equation and determines that x is about 1.17 liters. He interprets this as needing 1.17 liters of 2% solution to make 1 liter of 3.5% solution

Answer:

[tex](x+5)^2=4[/tex]

Step-by-step explanation:

We have:

[tex]x^2+10x+21=0[/tex]

First, subtract 21 from both sides:

[tex]x^2+10x=-21[/tex]

Now, we can complete the square. We will divide the coefficient of the b term and square it. So:

[tex](\frac{b}{2})^2\Rightarrow(\frac{10}{2})^2=(5)^2=25[/tex]

So, we will add 25 to both sides:

[tex](x^2+10+25)=-21+25[/tex]

The left is the perfect square trinomial pattern. Add on the right:

[tex]((x)^2+2(5)(x)+(5)^2)=4[/tex]

Final step:

[tex](x+5)^2=4[/tex]

Answer:

See below.

Step-by-step explanation:

∠D = 180° - 30° = 150°

P = 2(16 + 25) = 2(41) = 82 cm

The correct option is :-

B) ∠D = 150°, P = 82 centimeters, A = 200 square centimeters

Essentially the greater/less than shows the range of the values that are accepted or rejected + not to forget that points that lie on the parabola are rejected solutions, since i want the solutions that are strictly greater than/less than these points

If the equation suggests that it might be also equal, then the points that lie of the the parabola are also accepted solutions, since they belong to our interval [Hence the =]

Answer:

78,780

Step-by-step explanation:

Given:

Number of chocolates made in 1 day = number of chocs/hr × number of hours

= 6060 × 13

= 78,780

Answer:

true

Step-by-step explanation:

Answer:

oops i forgot the answer o well ill just play fortnite

Step-by-step explanation:

Answer:

The Standard Deviation is a measure of how spread out numbers are. You might like to read this simpler page on Standard Deviation first. But here we explain the formulas. The symbol for Standard Deviation is σ (the Greek letter sigma)

Answer:

Shows the variation in data(average of all means of the data)

Step-by-step explanation:

Ok,so, if for example, data is grouped close together, then the standard deviation will be small, if the data is more spread out then the deviation will be larger.  How to tell?

Well, it all depends on the distance away from the mean. The center is usally where the mean is. How far from the mean is your data?

How to calculate?

-There are multiple equations you can use depending on your data.

If you are analyzing data which represents a larger set, use sample standard deviation, if you collect data from every member of the set, then use population standard deviation.

First, calculate the mean(average) of each set of data.

Then subtract the deviance(subtract mean from each number -/+)

Square each deviation

add up all squared deviations

Divide the number by one less than the number of items in the data. (If it was 5 it would be 4.)

Then calculate the square root of the resting value.

Answer: The answer is BCD is 77 degree

Step-by-step explanation:

Answer:

∠B = 93°

Step-by-step explanation:

Supplementary angles are such pairs that sum up to 180°. In this case, we are given that ∠A and ∠B are supplementary. This means that the sum of ∠A and ∠B is 180°.

⇒ ∠A + ∠B = 180°

⇒ 87 + ∠B = 180°

⇒ ∠B = 180 - 87

⇒ ∠B = 93°

Answer:

First one: 55 minutes

Second one: 50 minutes

Third one: 45 minutes

Fourth one: 1 hour and 5 minutes

Fifth one: 40 minutes

Hope this helps!

Answer:

  d.  x = 10  (the correct answer is marked)

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the squares of the sides of a right triangle is the square of the hypotenuse.

  x² +4² = (2√29)²

  x² +16 = 116 . . . compute the squares

  x² = 100 . . . . subtract 16

  x = 10 . . . . take the square root

Answer:

d) [tex]\sf x=10[/tex]

Step-by-step explanation:

Pythagoras' Theorem:  [tex]\sf a^2+b^2=c^2[/tex]

(where [tex]\sf a[/tex] and [tex]\sf b[/tex] are the legs, and [tex]\sf c[/tex] is the hypotenuse, of a right triangle)

Given:

Substituting these values into the equation and solving for [tex]\sf x[/tex]:

[tex]\sf \implies 4^2+x^2=(2\sqrt{29})^2[/tex]

[tex]\sf \implies 16+x^2=116[/tex]

[tex]\sf \implies x^2=116-16[/tex]

[tex]\sf \implies x^2=100[/tex]

[tex]\sf \implies x=\pm \sqrt{100}[/tex]

[tex]\sf \implies x=\pm10[/tex]

Since distance is positive, [tex]\sf x=10[/tex] only

Therefore, the answer is d) [tex]\sf x=10[/tex].

Answer:

3816547290

Step-by-step explanation:

this is from a puzzle called notable numbers

Answer:

y=5x+7

Step-by-step explanation:

y-y₁=m(x-x₁) will be our starting equation

Now input (-2, -3) and 5 as our slope because a parallel line has the same slope.

y-(-3)=5(x-(-2))  Input

y+3=5(x+2)      Simplify

y+3=5x+10      Distribute 5 into the parenthesis

y=5x+7            Subtract 3 from both sides

Answer:

y=5x+7

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, we expand the brackets, so we have

4x + 10 = 5x - 20, then we collect like terms to have

5x - 4x = 10 + 20, then we sum them up

x = 30

There you go

Answer:

12 kittens in 3 pens

4 kittens in 8 pens

Step-by-step explanation:

12x3=36

4x8=36

4 is more than 2

12 is more than 2

Hope this helps! :)

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

Answer:

An option:  Group the kittens by 3, so there will be 12 groups in total.

Another option: Group the kittens by 4, so there will be 9 groups in total.

PLEASE GIVE BRAINLIEST!

Answer:

y = 3x - 6

Step-by-step explanation:

What you do is you plug both points in for the equation 2 times and solve as a system of equations.

Equation of a line: y = mx + b

(x,y) = (3,3)

(x,y) = (6,12)

3 = 3m + b

12 = 6m + b

Subtract equations to get rid of b to solve for m.

12 - 3 = 6m - 3m + b - b

9 = 3m

m = 3

Plug m back into both equations get b.

3 = 3(3) + b

b = -6

12 = 6(3) + b

b = -6

y = 3x - 6

Answer:

[tex]\displaystyle y = 3x - 6[/tex]

Step-by-step explanation:

First, find the rate of change of the line:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 + 12}{-3 + 6} = m \hookrightarrow \frac{9}{3} = m \\ \\ \boxed{3 = m}[/tex]

_______________________________________________

Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:

[tex]\displaystyle 12 = 3[6] + b \hookrightarrow 12 = 18 + b; -6 = b \\ \\ \boxed{\boxed{y = 3x - 6}} \\ \\ OR \\ \\ 3 = 3[3] + b \hookrightarrow 3 = 9 + b; -6 = b \\ \\ \boxed{\boxed{y = 3x - 6}}[/tex]

I am joyous to assist you at any time.

Answer:

B) Line 2

i hope this work for you

and sory if im wrang

Answer:

the second one is 2 the third one is 0 the forth one is 5 and the fifth one is 4

Step-by-step explanation:

because there is 1 more white than red in the first one

Answer:

C, I hope this is correct or this will be embarrassing but everyone have a good day

Step-by-step explanation:

The statement about numbers is true "All natural numbers are whole numbers" which is the correct answer that would be an option (C).

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

The natural number now includes all positive integers from 1 to infinity.

Natural numbers include 1, 2, 3, 4, 5, and so on.

Whole numbers now include all positive integers from 0 to infinity.

The whole number is 0, 1, 2, 3, 4, 5, and so on.

As can be seen, every natural number are the whole number

Hence, the statement about numbers is true "All natural numbers are whole numbers"

Therefore, the correct answer would be an option (C).

Learn more about the number system here:

https://brainly.com/question/21751836

#SPJ6

Answer:

first page is 12, and the facing page is 13.

Step-by-step explanation:

The pages are facing each other, so they are consecutive numbers:

Let x = the first page number

y = the second page number

The second page number is just 1 more than the first, because they are consecutive numbers:

x+1 = y

We also know that the products of the numbers is equal to 156:

xy = 5852

Now we will sub y = x+1 into the second equation:

x(x+1) = 5852

x^2 + x = 5852

x^2 + x - 5852 = 0

Factoring (or using the quadratic formula) gives us:

(x+13)(x-12) = 0

x = - 13, or x = 12.

A page number can't be negative, so we will choose x=12.

This means that the second page must be page 13.

Answer: the first one is x < 8 and the second one is x > 13

Step-by-step explanation: so is prolly the second one

Answer:

for the top, it is 120n-150=45n

The bottom is 75

Step-by-step explanation:

Hope this helps!! ;-)

Answer: split the cookies in half and throw 1 cookie away

Step-by-step explanation: This question is not too specific so i cannot answer it to my full capacity but if there are 40 and 20 cookies split them and if 2 of those friends cannot eat it you can play a game to see who gets those pieces of cookies or throw them away or eat them yourself.

Answer:

No

Step-by-step explanation:

The numbers skip around here and there. The increase isn't uniform

Step-by-step explanation:

[tex]4\left(3\cdot \:8-x\right)=4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]\frac{4\left(3\cdot \:8-x\right)}{4}=\frac{4}{4}[/tex]

[tex]Simplify[/tex]

[tex]24-x=1[/tex]

[tex]\mathrm{Subtract\:}24\mathrm{\:from\:both\:sides}[/tex]

[tex]24-x-24=1-24[/tex]

[tex]Simplify[/tex]

[tex]-x=-23[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]

[tex]\frac{-x}{-1}=\frac{-23}{-1}[/tex]

[tex]Simplify[/tex]

[tex]x=23[/tex]

Answer:

[tex]x=23[/tex]

Step-by-step explanation:

[tex]4(3\cdot8-x)=4[/tex]

Divide both sides by 4:

[tex]\implies 3\cdot8-x=1[/tex]

Add x to both sides:

[tex]\implies 3\cdot8=x+1[/tex]

Multiply 3 × 8:

[tex]\implies 24=x+1[/tex]

Subtract 1 from both sides:

[tex]\implies 23=x[/tex]

Answer: B. The amount of federal money available to support education decreases.

Step-by-step explanation:

The Fiscal policy of a Government relates to the spending and taxation policies of that Government in an effort to control the direction of the Economy.

Normally there are two types of Fiscal Policy: Expansionary and Contractionary. Expansionary fiscal policy works by the Government increasing spending and/ or cutting taxes so that consumers in the economy have more money.

Contractionary policy is the opposite and involves Government spending reducing and/ or taxes increasing. Reducing the amount of Federal money available for education is a possible product of Contractionary fiscal policy.

Answer:

the amount of federl money B

Step-by-step explanation:

The answer is yes.

Explanation :

The only requirement for a quadrilateral is that it has four sides. It is not necessary for them to be equal sides. This implies that as long as the angles total up to 360, you may have any angles you desire.

Answer: Triangle or Square

Step-by-step explanation:

Each have one right angle

Answer:

6 inches

Step-by-step explanation:

6 inches is the only feasible answer because if the length is 6 inches, you have 6 + 6  which equals 12. This leaves 2 more units for the perimeter so the width would be 1 unit. The other choices could not exist, because 7 x 2 is 14 (no units left for width, and the width of a rectangle cannot be 0), 8 x 2 is 16, and 9 x 2 is 18.