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

Answers

Answer 1

The student clearly made a mistake, because he found that he needs to mix more solution that he wants to end up with. Mixing 1.17 L of one solution with more of some other solution will make more than 1 L of another solution.

The mistake is writing x - 1 instead of 1 - x.

Answer 2

Answer:

The answers:

It’s A & B

A.) The percent values were written incorrectly in the equation.

B.) The amount of 7% solution should be written as 1 – x, not x – 1.

Step-by-step explanation:

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Related Questions

Marques made a mistake when solving this problem. On what line did he make the error?
Line 1
Line 2
Line 3
Line 4
Line 5

Answers

Answer:

B) Line 2

i hope this work for you

and sory if im wrang

Given 4x+10=5(x-4)
Prove x=30

Answers

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

Find the measure of

Answers

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

Is it possible to draw a quadrilateral that is not a rectangle but has at least one right angle?

Answers

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

explain what the standard deviation is for a set of data.

Answers

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.

36 new kittens were brought to the animal shelter in Houston in one day. The shelter did not want all 36 of the new kittens in a pen, and they also wanted more than 2 kittens to be together. How could they group the new kittens? You will select two answer choices.

Answers

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!

PLS ANSWER ASAP!!!!!!!!! I WILL GIVE EXTRA POINTS AND BRAINLIEST FOR THE CORRECT ANSWER!!!

You need to find a Number with 10 digits.

The first digit is divisible by 1
The second digit is divisible by 2
The third digit is divisible by 3
The fourth digit is divisible by 4
The fifth digit is divisible by 5
The sixth digit is divisible by 6
The seventh digit is divisible by 7
The eigth digit is divisible by 8
The ninth digit is divisible by 9
The full number is divisible by 10

Answers

Answer:

3816547290

Step-by-step explanation:

this is from a puzzle called notable numbers

If Sarah has 20 cookies but 40 friends and 2 are lactose intolerant what should she do to satisfy all of her friends?

Answers

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.

How does the graph below change between point A and point B?

Answers

d, the last answer. the graph increases, then decreases.

Help math math ASAP pelsss

Answers

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.

∠A and ∠B are supplementary. The measure of ∠A is 87°.

What is the measure of ∠B?

Enter your answer in the box.
Point theif = ban

Answers

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°

• What is the difference in the graph of a less/greater and a less than or = in a Inequalities with Quadratics

Answers

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 =]

Which statement about numbers is true?

A. All integers are Natural numbers
B. All rational numbers are Integers
C. All natural numbers are whole numbers
D. All rational number are Natural numbers

Answers

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).

What is the number system?

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

A chocolate factory makes 6060 chocolates in an hour .How many chocolates can it make in a day , if the factory is operational for 13 hours?


I want in step by step please ....​

Answers

Answer:

78,780

Step-by-step explanation:

Given:

6060 chocolates made per hour13 hours in one day

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

= 6060 × 13

= 78,780

y = 14x + -10
y = 7x +-3

Answers

Answer:

oops i forgot the answer o well ill just play fortnite

Step-by-step explanation:

Solve for x:
4(3x8-x)=4

Answers

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]

Solve for x. Choose the best simplified radical answer where applicable. NO LINKS!!

Answers

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:

[tex]\sf a=4[/tex][tex]\sf b=x[/tex][tex]\sf c=2\sqrt{29}[/tex]

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].

we need standard units to measure the physical quantity

Answers

Answer:

true

Step-by-step explanation:

Find the measure of one interior angle of a regular 23-gon.

A. 164.3
B. 160
C. 165.6
D. 161.1

Answers

180(23-2)/23

180(21)/23
3780/23
164.3

X - 5<3 OR x – 5 > 8

Answers

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

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

Help help math math math

Answers

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:

i dont know how to do this could someone help me?

Answers

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

calculate the loan for $10,000, at an annual percentage rate of 5%, for a term of 5 years. what is the amount of accrued interest?

Answers

2500$ it the interest amount for 5 years
the answer to the question is $2500

100 points please help me asap!!

Answers

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]

can someone answer this question plsss I need it now!!!!!​

Answers

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!

Lena is reading a book. The product of the two page numbers facing each other is 5852. What is the sum of the two pages?

Answers

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.

If you help me solve b. I will give you brainlst please fill out the blanks :)

Answers

Answer:

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

The bottom is 75

Step-by-step explanation:

Hope this helps!! ;-)

Determine if the relationship in the table is proportional X-3,12,5,7,9 Y-12,20,21,36

Answers

Answer:

No

Step-by-step explanation:

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

The perimeter of a rectangle is 14 inches. The equation that represents the perimeter of the rectangle is 2l+2w=14, where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?
6 inches

7 inches

8 inches

9 inches

Answers

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.

Which situation most directly illustrates a possible outcome of a fiscal policy?
A. A corporation decides a to expand its operation to several new states.
B. The amount of federal money available to support education decreases.
C. Employees at a company are forced to take a pay cut while executives do not.
D. The value of the dollar goes down relative to a foreign currency's value.

Answers

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:

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