Solve for X
1. - 6x + 14 < =28 OR
9x + 15 <-12

Answer:

1

Step-by-step explanation:

Using the definition

n[tex]C_{r}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex]

where n! = n(n - 1)(n - 2) × 3 × 2 × 1, note that 0! = 1

Given

9[tex]C_{9}[/tex] = [tex]\frac{9!}{9!(9-9)!}[/tex] = [tex]\frac{9!}{9!(0!)}[/tex] = [tex]\frac{9!}{9!}[/tex] = 1

The value of 9C9 or C(9, 9) using Combination is 1.

In combinatorial notation, "9C9" represents the number of combinations of selecting 9 items from a set of 9 items without regard to their order. This can be calculated using the formula:

nCr = n! / (r!(n-r)!)

Here, n = 9 and r = 9.

So, 9C9 = 9! / (9!(9-9)!)

     = 9! / (9! × 0!)

Any number divided by 0 is undefined, so the denominator becomes 0!. However, 0! is defined as 1.

Therefore:

9C9 = 9! / (9! × 1)

     = 9! / 9!

     = 1

Hence, the value of 9C9 is 1.

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The Main Answer is the best estimation of the fraction of the batch that was left is [tex]59/168[/tex].

To find the fraction of the batch that was left, we first need to calculate how much was given away to the neighbors and how much Mr. Gallegos ate himself, then subtract those amounts from the total batch.

1. Given that Mr. Gallegos gave [tex]11/21[/tex] of the batch to his neighbors, and ate 1/8 of the batch himself.

2. We need to find the total amount given away and eaten: [tex]Total given away = 11/21[/tex] [tex]Total eaten by Mr. Gallegos = 1/8[/tex]

3. To find the fraction left, subtract the total given away and eaten from the total batch (1): [tex]Fraction left = 1 - (11/21 + 1/8)[/tex]

Now, let's calculate:

To subtract fractions, they must have the same denominator. The least common multiple (LCM) of [tex]21[/tex] and [tex]8[/tex] is [tex]168[/tex]. We'll rewrite the fractions with a common denominator of [tex]168[/tex]:

[tex]11/21 = (11/21) * (8/8) = 88/168 \\1/8 = (1/8) * (21/21) = 21/168[/tex]

So, the expression becomes:

[tex]Fraction left = 1 - (88/168 + 21/168) \\= 1 - (109/168)[/tex]

To subtract [tex]109/168[/tex] from [tex]168/168[/tex] (which equals 1), we'll subtract the numerators:

[tex]Fraction left = (168/168) - (109/168) \\= 59/168[/tex]

Therefore, the best estimation of the fraction of the batch that was left is [tex]59/168[/tex].

COMPLETE QUESTION:

Mr. Gallegos made a batch of muffins. He gave [tex]11/21[/tex] of the batch to his neighbors and ate [tex]1/8[/tex] of the batch himself. Which is the best estimation of the fraction of the batch that was left?

Answer:

The length is 5.7

Step-by-step explanation:

Step 1:  Make an equation to represent the problem

2(7.9) + 2(L) = 27.2

Step 2:  Solve for L/Length

2(7.9) + 2(L) = 27.2

15.8 + 2L - 15.8 = 27.2 - 15.8

2L / 2 = 11.4 / 2

L = 5.7

Answer:  The length is 5.7

Step-by-step explanation:

1) A number m is at least four

m ≥ 4  ['at least' = ≥ symbol]

2) 4x  ≤ 20x; x=2

4(2) ≤ 20(2)

8 ≤ 40

[Im not sure if this is a solution or and inequality :/ ]

3)  x < 5

--> On the line, draw the number 0, and the number five. 'x < 5' also means 'x is less that five.' So, draw a dot over the line before 5, and make an arrow going to the left of the page,

<-----------------------------------o   5

<---|---|---|---|---|---|---|---|---|---|---|---|---|---|--->

                          0

Hopefully this helps! :)

Answer:

y = -2x - 8

Step-by-step explanation:

Use the point slope form:  (y - y1) = m(x - x1)

(y - (-4)) = -2(x - (-2))

y + 4 = -2(x + 2)

y + 4 - 4 = -2x - 4 - 4

y = -2x - 8

Answer:  y = -2x - 8

Answer:

Step-by-step explanation:

y-y1=m(x-x1)

y+4=-2(x+2)

y+4=-2x-4

2x+y+8=0

or 2x+y=-8

Answer:

g= -0.67

Step-by-step explanation:

Answer:

g= -2/3

Step-by-step explanation:

1.simplify -3+5+6g to 6g+2: 6g+2=3g

2.subtrat 6g from both sides.: 2=3g-6g

3. Simplify 3g-6g to -3g: 2=-3g

4. Divide both sides by -3: -2/3=g

5. switch sides: g=-2/3

Answer: 202.60

Step-by-step explanation:

324.16/8 = 40.52

40.52*5 = 202.60

Answer: [tex]d=16.4[/tex]

Step-by-step explanation:

Step 1) Add 4 to both sides: [tex]d-4+4=12.4+4[/tex]

[tex]d=16.4[/tex]

Answer: D=16 please give brainliest

Step-by-step explanation:

D-4=12

first add +4 to both sides to reverse it

D=16 and to make sure its right

lets substutie for D

16-4=12

12=12

correct

Answer:

Not skewed.

Step-by-step explanation:

It's not going left or right, it's equal on both sides!

If I'm wrong, I'm EXTREMELY sorry!!!

If I'm right, you're welcome!

The point A on the number line represents -4.

Step-by-step explanation:

Step 1:

The distance between 0 and -5 is split into 5 partitions.

The value for each distance is given by dividing the difference by the number of partitions.

So each partition represents a value of [tex]\frac{5}{5}=1[/tex] unit.

Step 2:

Since it is going on the negative side of the number line, the numbers vary by a value of -1 each.

The value of the first partition; [tex]-1(1) = -1[/tex],

The value of the second partition; [tex]-1(2) = -2[/tex],

The value of the third partition; [tex]-1(3) = -3[/tex],

The value of the fourth partition; [tex]-1(4) = -4[/tex],

The value of the fifth partition; [tex]-1(5) = -5[/tex].

The point A on the number line is in between the zero and the fifth partition so it is the fourth partition which has a value of -4.

Answer:

Angle ACB = 67

Step-by-step explanation:

Angle DAB and BAC are supplementary angles. This means they add up to 180 degrees. So subtract 127 from 180 to find angle BAC which is 53. We know that a triangle's degrees add up to 180. So take 180 and subtract (60+ 53) to find angle ACB.

The angles around point A should add up to 360° ∠ACB is 173°.

In the given diagram where ∠ABC is 60° and ∠DAB is 127°, you can find ∠ACB by using the fact that the angles around point A should add up to 360°.

∠DAB + ∠CAB + ∠CBA = 360°

Given that ∠DAB = 127° and ∠CAB is 60°, you can solve for ∠CBA:

127° + 60° + ∠CBA = 360°

Combine the known angles on the left side:

187° + ∠CBA = 360°

Now, isolate ∠CBA:

∠CBA = 360° - 187°

∠CBA = 173°

so, ∠ACB is 173°.

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Final answer:

Ceci's driving rate is 75 miles per hour. To drive 1.125 miles at this rate, it would take her 0.015 hours, or approximately 0.9 minutes.

Explanation:

The question requires the calculation of Ceci's driving rate and then using it to determine how long it will take her to drive a shorter distance. First, we determine Ceci's driving rate:

Rate = Distance ÷ Time

Ceci's rate of driving is calculated by dividing the distance she can drive, 225 miles, by the time it takes her, which is 3 hours.

Rate = 225 miles ÷ 3 hours = 75 miles/hour

With the rate calculated, we can now determine how long it takes her to drive 1.125 miles:

Time = Distance ÷ Rate

Thus, the time to drive 1.125 miles at 75 miles/hour is:

Time = 1.125 miles ÷ 75 miles/hour = 0.015 hours, or approximately 0.9 minutes (since there are 60 minutes in an hour). To drive 1.125 miles at this rate, it would take her 0.015 hours, or approximately 0.9 minutes.

Answer:

The equation which shows how the relationship between the circumference and the diameter of this circle is equivalent to π is π =  [tex]\frac{C}{5}[/tex] ⇒ answer C

Step-by-step explanation:

In any circle there is a constant ratio between the circumference of the circle and its diameter

This constant ratio is called π

∵ The formula of the circumference of a circle is C = π d,

    where d is the diameter of the circle

- Divide both sides by d

∴ [tex]\frac{C}{d}[/tex] = π

- Switch the two sides

∴ π =  [tex]\frac{C}{d}[/tex]

∵ The diameter of the circle is 5 centimeters

∴ π =  [tex]\frac{C}{5}[/tex]

The equation which shows how the relationship between the circumference and the diameter of this circle is equivalent to π is π =  [tex]\frac{C}{5}[/tex]

To solve this question, we need to think about the relationship between the circumference (C) of a circle and its diameter (d). The formula that describes this relationship is C = π * d.
Now, if the diameter (d) of the circle is 5 centimeters, then substituting this into the formula, we get:
C = π * 5
We want to find how this is equivalent to π, so we need to solve for π. To isolate π, we can divide both sides of the equation by 5:
C / 5 = (π * 5) / 5
Now, dividing 5 on the right side of the equation cancels it out:
C / 5 = π
This equation shows that π is equal to the circumference divided by the diameter of the circle. Since the diameter is 5 centimeters, the correct way to write this is:
π = C / 5
Which corresponds to option C.

Answer:

35

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

Do 65/100 = 22.75/x

Cross multiply and then you get 65x=2,275

Then divide both sides by 65 to get x=35

Answer: 4/7

Step-by-step explanation:

Answer:

x = 25 degrees

Step-by-step explanation:

So we know that the 4x, 2x + 10°, and x - 5° and the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180°.

Using this, we can conclude that the sum of 4x, 2x + 10°, and x - 5° is equal to 180°.

We can write this information as the equation:

4x + (2x + 10) + (x - 5) = 180

We can use this equation to find the value of x. To find the value of x by using the equation, we need to solve for x (put the equation into the form x = _).

Solve for x:

4x + (2x + 10) + (x - 5) = 180

4x + 2x + 10 + x - 5 = 180

Combine like terms.

7x + 5 = 180

Subtract 5 from both sides to get rid of the +5 on the left side.

7x = 180 - 5

Simplify.

7x = 175

Divide both sides by 7 to get rid of the coefficient of 7 on the left side.

x = 175 ÷ 7

Simplify.

x = 25.

x would be equal to 25°.

x = 25 degrees

I hope you find this helpful. :)

Answer:

The answer is Store 4

Step-by-step explanation:

As before the price increases, Store 4 has the highest price among other Stores. After price increases, Store 4 continued to has highest price among them

Store 4 had the highest demand both before and after the price increase.

We need to find which store had the highest demand both before and after the price increase.

Price increase means an increase in the unit price of an item or a decrease in the quality or quantity of substantially the same item.

From the given table, we can see that before the price increase store 4 has 200 sales and after the price increase, store 4 has 170 sales.

Therefore, store 4 had the highest demand both before and after the price increase.

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Answer:

Problem #1:  x = 2.5

Problem #2:  x = 10/7

Step-by-step explanation:

Step 1:  Find the value of x in (8x - 20)

8x - 20 = 0

Add 20 to both sides

8x - 20 + 20 = 0 + 20

8x = 20

Divide both sides by 8

8x / 8 = 20 / 8

x = 2.5

Answer:  x = 2.5

Step 2:  Find the value of x in (14x - 20)

14x - 20 = 0

Add 20 to both sides

14x - 20 + 20 = 0 + 20

14x = 20

Divide both sides by 14

14x / 14 = 20 / 14

x = 10/7

Answer:  x = 10/7

Answer:

2 18/35

Step-by-step explanation:

your welcome

Answer:

88/35

Step-by-step explanation:

First, change the mixed numbers into the improper fractions, 22/7 and 5/4. Now you can divide. I use a method called KCF, which means Keep Change Flip. Here is your expression: 22/7 / 5/4. Keep the first fraction. Change the sign; change the division sign into a multiplication symbol. Now you have 22/7 x 5/4. Finally, flip the last fraction into 4/5. Now you have 22/7 x 4/5. Multiply numerator by numerator, denominator by denominator to get 88/35. You can also simplify this into 2 18/35.

Answer:

61 degrees

Step-by-step explanation:

We need to take the inverse cosine of both sides as follows:

cos^-1(sin(29))=cos^-1(cos(x))

61=x

The weight of the gorilla at its birth is 16 pounds

Step-by-step explanation:

Step 1 :

The equation representing the weight of the gorilla in its first month of life is given as  

P= 16 + 4 w

Where P represents the weight in pounds and

w represents the number of weeks since birth

We need to find the weight of the gorilla at birth

Step 2 :

The number of weeks since birth of the gorilla will be zero at its birth. Hence the variable w will be 0 at its birth.

Substituting this in the above equation we have.

P = 16 + 4(0)

=> P = 16

Step 3 :

Answer :

The required weight of the gorilla after its birth is 16 pounds

HOPE THIS WILL HELP U..✌✌:)

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The given polynomial as the product of two binomials x²-9x+20 can be expressed as (x-5)(x-4).

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

The given polynomial can be factorized as shown below.

x² - 9x + 20 = 0

Divided the middle term into two terms such that the sum of those two terms is -9, while the product of those two terms is +20.

Therefore, the two terms will be -5 and -4.

= x² - 5x - 4x + 20

Taking x as the common term from the first two terms and -4 as the common term from the last two terms.

= x(x-5)-4(x-5)

Taking (x-5) as the common term from the two formed terms,

=(x-5)(x-4)

Hence, the given polynomial as the product of two binomials x²-9x+20 can be expressed as (x-5)(x-4).

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Answer:

Step-by-step explanation:

Answer: 3 13/24

Step-by-step explanation:

Turn 7 1/6 into an Improper Fraction:

43/6 - 3 5/8

Turn 3 5/8 into an Improper Fraction:

43/6 - 29/8

Subtract:

43/6 - 29/8= 85/24

Turn 85/24 into a Mixed Number (Final Step):

85/24 = 3 13/24

Answer:

3 13/24

Hope this Helps!

To find the difference between 7 1/6 and 3 5/8, convert each mixed number to an improper fraction with a common denominator of 24, subtract the numerators to find 85/24, which simplified to a mixed number results in 3 13/24.

The difference between 7 1/6 and 3 5/8 can be found by converting each mixed number to an improper fraction with a common denominator and then subtracting the two. First, convert the mixed numbers to improper fractions. So, we have 7 1/6 as 43/6 and 3 5/8 as 29/8. To find a common denominator, we can use the least common multiple (LCM) of 6 and 8, which is 24. Then we convert the fractions as follows:

Now we can subtract the numerators and keep the common denominator:

172/24 - 87/24 = 85/24

To present the answer as a mixed number, we divide 85 by 24, which gives us:

3 13/24

Therefore, the difference between 7 1/6 and 3 5/8 is 3 13/24.

[tex]-38d-57>-19d+76\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:d<-7\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-7\right)\end{bmatrix}[/tex]

Solution:

Given inequality is:

[tex]-38d - 57 > -19d + 76[/tex]

We have to solve the inequality for "d"

From given,

[tex]-38d-57>-19d+76\\\\\mathrm{Add\:}57\mathrm{\:to\:both\:sides}\\\\-38d-57+57>-19d+76+57\\\\\mathrm{Simplify}\\\\-38d>-19d+133\\\\\mathrm{Add\:}19d\mathrm{\:to\:both\:sides}\\\\-38d+19d>-19d+133+19d\\\\[/tex]

[tex]\mathrm{Simplify}\\\\-19d>133\\\\Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)\\\\[/tex]

When we multiply or divide both sides of inequality by negative number, then we must flip the inequality sign

[tex]\left(-19d\right)\left(-1\right)<133\left(-1\right)\\\\\mathrm{Simplify}\\\\19d<-133\\\\\mathrm{Divide\:both\:sides\:by\:}19\\\\\frac{19d}{19}<\frac{-133}{19}\\\\\mathrm{Simplify}\\\\d<-7[/tex]

The solution set is given as:

[tex]-38d-57>-19d+76\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:d<-7\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-7\right)\end{bmatrix}[/tex]

Jalen can make 4 pancakes with the whole mixture.

Jalen is making pancakes with a total of 1 L of pancake mixture.

He plans to use 1/4 L of mixture for each pancake.

To calculate how many pancakes he can make, we can set up an equation,
Vtotal / Vpancake = number of pancakes

Plugging in the given values:

1 L / (1/4) L = number of pancakes

On solving, we get

number of pancakes = 4

Slope of the line is -7

Step-by-step explanation:

⇒ m = (113 - -41)/(-15 - 7)

       = 154/-22 = -7

Step-by-step explanation:

The geometric mean between 3 and 8

[tex] \sqrt{3 \times 8} [/tex]

[tex]2 \sqrt{6} [/tex]

2× 2.45

4.9