Simplify the F = ABC + A’B + ABC

9 L of 40% silver iodine solution contains 0.40 (9 L) = 3.6 L of silver iodine.

x L of a 10% solution contains 0.10 (x L) = 0.1x L of silver iodine.

Mixing these two solutions results in another solution of volume (x + 9) L and containing (0.1x + 3.6) L of silver iodine, which gives it a concentration of 6%.

But this is impossible! Let a < b. You cannot mix two solutions at concentrations of a and b and magically end up with a mixture whose concentration is smaller than a or larger than b, it has to fall somewhere in the middle.

We can still try solving for x to demonstrate this:

(0.1x + 3.6)/(x + 9) = 0.06

0.1x + 3.6 = 0.06 (x + 9)

0.1x + 3.6 = 0.06x + 0.54

0.04x = -3.06

x = -76.5

Nonsense.

Perhaps you meant the target concentration to be 16%? In that case, there is a valid solution:

(0.1x + 3.6)/(x + 9) = 0.16

0.1x + 3.6 = 0.16 (x + 9)

0.1x + 3.6 = 0.16x + 1.44

0.06x = 2.16

x = 36

Answer:

She did every other Child entering the matinee. Some kids could leave and re-enter, she should have done all of the people there.

Step-by-step explanation:

Also, next time please paste part of the answers there, ;)

Answer:

1. The sample of 40 children is too small to represent all kindergartners.

2. The sample was taken at a specific movie, which will skew data towards that type of movie.

3. The sample is likely to include a lot more girls than boys, since the movie title is “Three Pretty Princesses.”

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

10-5x=3(x-4)-2(x+7)

Distribute

10-5x=3x-12-2x14

Combine like terms

10-5x = x-26

add 5x to each side

10-5x+5x = x+5x-26

10 = 6x-26

Add 26 to each side

10+26 = 6x-26+26

36 = 6x

Divide by 6

36/6 = 6x/6

6 =x

Answer:

[tex]10-5x=3\left(x-4\right)-2\left(x+7\right)[/tex]

[tex]3\left(x-4\right)-2\left(x+7\right)[/tex]

combine like terms:-

[tex]=3x-12-2x-14[/tex]

[tex]3x-2x=x[/tex]

[tex]=x-12-14[/tex]

Subtract -12 -14

[tex]=x-26[/tex]

[tex]10-5x=x-26[/tex]

Subtract 10 from both sides:-

[tex]-5x=x-36[/tex]

Now, subtract x from both sides:-

[tex]-5x-x=x-36-x[/tex]

[tex]-6x=-36[/tex]

Divide both sides by -6:-

[tex]\frac{-6x}{-6}=\frac{-36}{-6}[/tex]

[tex]x=6[/tex]

OAmalOHopeO

In functions; translations are used to move lines, points or shapes across the graph (i.e. up, down, right or left).

The translation from [tex]y = (x - 5)^2 +5[/tex] to [tex]y = (x - 0)^2 +0[/tex] is to shift [tex]y = (x - 5)^2 +5[/tex] to the left by 5 units and then downward by 5 units

The given parameters are:

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

[tex]y = (x - 0)^2 +0[/tex]

Assume the first point is: [tex]y = (x - 5)^2 +5[/tex]

While the second is: [tex]y = (x - 0)^2 +0[/tex]

The first point is first shifted left by 5 units

The rule to this translation is: [tex](x,y) \to (x + 5,y)[/tex]

So, we have:

[tex]y' = (x - 5 + 5)^2 + 5[/tex]

[tex]y' = (x - 0)^2 + 5[/tex]

Next, the resulting function is shifted down by 5 units.

The rule to this translation is: [tex](x,y) \to (x,y- 5)[/tex]

So, we have:

[tex]y" = y' - 5[/tex]

This gives:

[tex]y" = (x - 0)^2 + 5 - 5[/tex]

[tex]y" = (x - 0)^2 + 0[/tex]

Hence, the translation from [tex]y = (x - 5)^2 +5[/tex] to [tex]y = (x - 0)^2 +0[/tex] is to shift [tex]y = (x - 5)^2 +5[/tex] to the left by 5 units and then downward by 5 units

Read more about transformations at:

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The percentage of your savings that I use is 60%

This shows that the amount of money the organization will raise in total is $25,000.

1) Given

Total amount saved = $4500

Amount used = $2,700

Percentage of money used = Amount used/Total amount saved × 100%

[tex]Percentage \ of \ money \ used = \frac{2700}{4500} \times 100\\Percentage \ of \ money = \frac{27}{45} \times 100\\Percentage \ of \ money \ used = \frac{2700}{45} \\Percentage \ of \ money \ used = 60 \%[/tex]

Hence the percentage of your savings that I use is 60%

2) Let the amount of money the organization will raise in total be x

Since the 45% of the money they raise represents $11,250, hence:

[tex]45\% \ of \ x = \$11,250\\0.45x = 11,250\\x = \frac{11250}{0.45}\\ x = 25,000[/tex]

This shows that the amount of money the organization will raise in total is $25,000

Learn more on percentages here: https://brainly.com/question/18811795

Answer:

x = -5

Step-by-step explanation:

-(5x-2) = 27

Distribute the minus sign

-5x +2 = 27

Subtract 2 from each side

-5x +2-2 = 27-2

-5x = 25

Divide by -5

-5x/-5 = 25/-5

x = -5

Answer:

X=-5

Step-by-step explanation:

-(5x-2)=27

-5x+2=27

-5x=27-2

-5x=25

x=25/-5

=-5

Step-by-step explanation:

Px^2+6x+1=x^2+x^2+Qx+1

P=2 and Q=6

Next, 3x^2-5-(x^2-6x+R/2)=2x^2+6x+1

2x^2-5-R/2+6x=x^2+6x+1

-5-R/2=6, R=-22

Answer:

A

Step-by-step explanation:

Because of we pur all the points on the Cartesian plane and we "connect" all the points comes a rhombus

SORRY FOR MY BAD ENGLISH BUT I AM ITALIAN

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It take a few minutes to solve your question.

The length of CV is 5 units

The length of C’V’ is 7.5 units

The scale factor is 7.5 / 5 = 1.5

Answer: 1.5

Answer:

(7x+4) and (4x)

Step-by-step explanation:

The expression are (7x+4) and (4x)

The two expressions are (4x+4) and x whose difference is 3x + 4​.

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Let two expressions are (4x+4) and x

So, difference of two expressions as :

⇒ (4x+4) - x

⇒ 3x + 4​

Hence, the two expressions are (4x+4) and x whose difference is 3x + 4​.

Learn more about Expressions here:

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Answer:

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Answer:

V≈696.91

Step-by-step explanation:

V=4

3πr3=4

3·π·5.53≈696.90997

Answer:

The Perimeter is 24 inches

Step-by-step explanation:

Perimeter is all the sides of something added up. All sides on a square are equal so each side is 6 inches

6+6+6+6=24

Answer:

Hello,

P(B)=0.65

Step-by-step explanation:

If P(A+B) means P(A∪B)=0.93 then you may read below.

Let's say x=P(B)

A and B being independent, P(A∩B)=P(A)*P(B)=0.8*x

Since P(A∪B)=P(A)+P(x)-P(A∩B) ,

0.93=0.8+x-0.8*x

0.2*x=0.13

x=0.65

Answer:

Bro 1st expression is in simplest form and 2nd in simplest is 3/2

Step-by-step explanation:

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Answer:

(5/2)*(9/6)

three can go into the fraction(9/6) giving(3/2)

(5/2)*(3/2)=15/4

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Answer:

4

Step-by-step explanation:

count up from -5 to -1

so -5,-4,-3,-2,-1 and there are four numbers excluding-5

Answer:

[tex]14[/tex]

Step-by-step explanation:

Given

[tex]\displaystyle \sum_{k=0}^3k^2[/tex]

Let's break down each part. The input at the bottom, in this case [tex]k=0[/tex], is assigning an index [tex]k[/tex] at a value of [tex]0[/tex]. This is the value we should start with when substituting into our equation.

The number at the top, in this case 3, indicates the index we should stop at, inclusive (meaning we finish substituting that index and then stop). The equation on the right, in this case [tex]k^2[/tex], is the equation we will substitute each value in. After we substitute our starting index, we'll continue substituting indexes until we reach the last index, then add up each of the outputs produced.

Since [tex]k=0[/tex] is our starting index, start by substituting this into [tex]k^2[/tex]:

[tex]0^2=0[/tex]

Now continue with [tex]k=1[/tex]:

[tex]1^1=1[/tex]

Repeat until we get to the ending index, [tex]k=3[/tex]. Remember to still use [tex]k=3[/tex] before stopping!

Substituting [tex]k=2[/tex]:

[tex]2^2=4[/tex]

Substituting [tex]k=3[/tex]:

[tex]3^2=9[/tex]

Since 3 is the index we end at, we stop here. Now we will add up each of the outputs:

[tex]0+1+4+9=\boxed{14}[/tex]

Therefore, our answer is:

[tex]\displaystyle \sum_{k=0}^3k^2=0+1+4+9=\boxed{14}[/tex]

Answer:

14

Step-by-step explanation:

∑3/k=0 k^2

Let k=0

0^2 =0

Let k = 1

1^2 =1

Let k =2

2^2 = 4

Let k = 3

3^2 = 9

0+1+4+9 = 14

Answer:

(n-10)

Step-by-step explanation:

Jdjdjdhbejdudjkdff

Answer:

i thank the ans id 450

Step-by-step explanation:

Answer:

32cm

Step-by-step explanation:

The area of sqaure is a^2

Side will be

underroot of 64 =8

Premeter of sqaure is 4a = 4×8 = 32cm

first we need to find length.

here.

Area= 64cm^2

or, 64= l^2

using formula area = length × length

therefore solving we get ,

length = 8 cm.

now,

perimeter = 4l

= 4 × 8 cm.

= 32 cm..........

Answer:

Hello,

Answer 26.9

Step-by-step explanation:

[tex]z=\dfrac{x-m}{\sigma} \\m=20.8\\\sigma=5.2\\\\p(z>?)\geq 0.12\ \longrightarrow 1-p(z\leq ?)=(1-0.12))\\\\Using\ table\ of\ normal\ reduce\ with\ 4 \decimals : ?=1.175\\\\x=1.175*5.2+20.8=26.91\approx{26.9}[/tex]

Answer:

9

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Answer:

9

Step-by-step explanation:

When we divide 45 by 2 which is 9, it is 5 times the number.

Answer:

-6k = -8 is an expression

A and C are inequalities

D is arithmetic

Answer:

$3385 per week

Step-by-step explanation:

so, he gets $370 plus 4.5% of what he is selling.

$67000 = 100% of selling

1% = 100%/100 = 67000/100 = $670

4.5% = 1% × 4.5 = 670 × 4.5 = $3015

so, he gets $370 + $3015 = $3385 per week

Answer:

17

Step-by-step explanation:

Here in this question for finding the numbers that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively we have to first subtract the remainder of the following. By this step we find the highest common factor of the numbers.

And then the required number is the HCF of the following numbers that are formed when the remainder are subtracted from them.

Clearly, the required number is the HCF of the numbers 398−7=391,436−11=425, and, 542−15=527

We will find the HCF of 391, 425 and 527 by prime factorization method.

391=17×23425=52×17527=17×31

Hence, HCF of 391, 4250 and 527 is 17 because the greatest common factor from all the numbers is 17 only.

So we can say that the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is 17.

Note: - whenever we face such a type of question the key concept for solving this question is whenever in the question it is asking about the largest number it divides. You should always think about the highest common factor i.e. HCF. we have to subtract remainder because you have to find a factor that means it should be perfectly divisible so to make divisible we subtract remainder. because remainder is the extra number so on subtracting remainder it becomes divisible.

Answer:

67 marbles

Step-by-step explanation:

15+30=45

45+22=67

Step-by-step explanation:

you cannot add some simple numbers ? you don't know how to use a calculator ?

to solve this yourself is way shorter than putting this in here.

15 + 22 + 30 = 67

Answer:

0 is the answer measure 1