A bowling ball cannot weigh more than 16 pounds and must have a diameter of $8 \frac{1}{2}$ inches. How many square inches are in the surface area of a bowling ball before the finger holes are drilled

The equation is | x - 4 | = 3

Here, we are given that x represents all numbers that are at a distance of 3 units from 4.

Now, the distance of x from 4 can be in the positive direction or in the negative direction.

This can be represented by an absolute value function as follows-

| x - 4 | = 3

we can check our result by solving the given equation

| x - 4 | = 3 can be written as-

x - 4 = 3  or  -x + 4 = 3

x = 7 or x = 1

Both, x = 1 and 7 are at a distance of 3 units from 4.

Thus, | x - 4 | = 3 is the absolute value function.

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Answer:

This is my Answer if i did not satisfy you're problem you may delete this answer.

Step-by-step explanation:

100 is an Whole (d)

0 is (b)

-1.7 is Rational (a)

2 is (d)

5/9 is (a)

-8 is (c)

The probability of the spinner landing on 2 reds is P ( 2 Reds ) = 1/8

Given data ,

To find the probability of spinning two reds, we need to calculate the probability of spinning a red on the first spin and then multiply it by the probability of spinning a red on the second spin.

The probability of spinning a red on the first spin is 1/4 since there is one red section out of four equal sections.

Now , the value of P ( R ) = 1/4

when the spinner is spun twice ,

P ( A ) = P ( R ) P ( R )

P ( A ) = 1/4 ( 1/4 )

On simplifying , we get

P ( A ) = 1/8

Hence , the probability is P ( A ) = 1/8.

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Answer:

3300

Step-by-step explanation:

Formula

Gross Salary = Basic + Commission

Givens

Basic = 3000

% = 12%

Solution

Gross = 3000 + 12/100 * 2500

Gross = 3000 + 30000/100

Gross = 3000 + 300

Gross = 3300

Yes, you can be certain that there are at least two guests who had the same number of handshakes. This is due to the Pigeonhole Principle.

As the party organizer, you shake hands with all 80 guests, which means you have 80 handshakes. The guests can have a minimum of 0 handshakes (if they don't shake hands with anyone except you) and a maximum of 79 handshakes (if they shake hands with everyone except themselves). There are 80 guests (excluding yourself), so there are 80 "pigeonholes" for the number of handshakes. The range of possible handshakes among the guests is from 0 to 79, which creates 80 possible outcomes or "pigeons."

According to the Pigeonhole Principle, if there are n pigeonholes and n+1 pigeons, at least one pigeonhole must contain at least two pigeons. In this case, there are 80 pigeonholes (guests) and 80 pigeons (possible handshakes). Therefore, at least two guests must have had the same number of handshakes.

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Answer:

30+20w=250

w=11

Step-by-step explanation:

To do this, write this equation because 30 is what she had and 20w is the weeks. We don't know the weeks so use w. Finally, put=250

30+20w=250

To solve this, do 250-30=220

So 20w=220

Divide 220/20

W=11

Answer:

11 weeks

Step-by-step explanation:

The equation would be 20w + 30 = 250

so, we need to solve w.

20w + 30 = 250

- 30 - 30

20w = 220

___ ____

20 20

w = 11

The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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Yes, it would be a scalene triangle. This can happen.

The Triangle sides have to be greater than c.

a+b > c

With the given inches, substitute it into the equations:

a = 3 in

b = 5 in

c = 9 in

3 + 5 > 9

Solve.

9 > 9

This is False since because a + b is not > c. a + b is equal to c.

Answer:

a) 199

f(-6)= 5(-6)^2 - 3 (-6) + 1 =199

b) 37

f(3)= 5(3)^2 - 3 (3) + 1 =37

If the population grew to 35203 by the year 2019 , then the equation to model this situation is y = 1174x + 29333 .

We use the given data points to create a linear equation to model the population growth over the years.

Let , x₁ = 0 represents the year 2014

⇒ y₁ = 29333 represents the population in the year 2014

⇒ x₂ = 5 represents the year 2019

⇒ y₂ = 35203 represents the population in the year 2019

Using these variables, we can find the slope of the line that represents the population growth:

So , slope = (y₂ - y₁)/(x₂ - x₁)

⇒ slope = (35203 - 29333)/(5 - 0)   ;

⇒ slope = 5870/5 = 1174  ;

Now , by using the point-slope form of a linear equation

we get ;

⇒ y - y₁ = m(x - x₁)  ;

⇒ y - 29333 = 1174(x - 0)  ;

Simplifying this equation ;

we get ;

⇒ y = 1174x + 29333 ;

Therefore, the equation for the model is y = 1174x + 29333, where y represents the population and x represents the number of years since 2014.

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The given question is incomplete , the complete question is

The population in a small us city has been increasing linearly. in 2014, the population of this town was 29333. and by the year 2019, it grew to 35,203. Find the equation for this model ?

Answer:

x - 3

Step-by-step explanation:

Using the equation, the pounds of raisins Priya bought, spending a total of $11.70 if she bought the following amounts of almonds are:

1. 2 pounds of almonds and pounds of raisins will be 0.473 pounds.

2. 1.06 pounds of almonds and pounds of raisins will be 2.47 pounds.

3. 0.64 pounds of almonds and pounds of raisins will be 3.04 pounds.

4. A pound of almonds and pounds of raisins will be 2.36 pounds.

An equation is a mathematical statement that lays the claim that two mathematical expressions are equal or equivalent.

Cost per unit (Almonds) = $5.20

Cost per unit (Raisins) = $2.75

Total cost spent for Almonds and Raisins = $11.70

Equation relationship:

Let pounds of almonds = a

Let pounds of raisins = r

Total cost equation: 5.20a + 2.75r = 11.70

1. 2 pounds of almonds and pounds of raisins will be:

5.20(2) + 2.75r = 11.70

10.40 + 2,75r = 11.70

2.75r = 11.70 - 10.40

2.75r = 1.30

r = 0.473 (1.30/2.75)

r = 0.473 pounds

2. 1.06 pounds of almonds and pounds of raisins will be:

5.20(1.06) + 2.75r = 11.70

4.90 + 2.75r = 11.70

2.75r = 6.80

r = 2.47 pounds

3. 0.64 pounds of almonds and pounds of raisins will be:

5.20(0.64) + 2.75r = 11.70

3.33 + 2.75r = 11.70

2.75r = 11.70 - 3.33

2.75r = 8.372

r = 3.04 pounds

4. A pound of almonds and pounds of raisins will be:

5.20(1) + 2.75r = 11.70

5.20 + 2.75r = 11.70

2.75r = 11.70 - 5.20

2.75r = 6.5

r = 2.36 pounds

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Answer:

1/12

Step-by-step explanation:

Step one:

given data

the line containing the points (5, 3) and (-7, 2).

x1= 5

y1= 3

x2= -7

y2=2

Step two:

The slope is given as

Slope= y2-y1/x2-x1

substitute

Slope= 2-3/-7-5

Slope= -1/-12

Slope = 1/12

Answer:

Domain:  (-infinity, infinity)

Range:  [0, infinity)

Step-by-step explanation:

y = 4x^2 is a quadratic function whose parabolic graph goes through (0, 0) and opens upward.  (0, 0) is both the vertex and the minimum of this function and graph.  Here x can take on any value, but y is limited to [0, infinity).

20+8y-9y-21 = -y-1

maybe this ?

Answer:

The first one

Step-by-step explanation:

The left moat one (the fist one)

Step-by-step explanation:

Answer:

(Look at comments)

Answer:

jnkj

Step-by-step explanation:

Answer:

Recipie A has a higher percentage of chocolate chips and Recipie B has a higher percentage of peanuts.

Step-by-step explanation:

Chocolate Chunks:

Recipie A calls for a total of ten cups. So 3 cups of chocolate chips are used in Recipe A. The percentage of chocolate chips in the mix is given by 3/10, which can be written as 30%. Recipie B now has a total of 20 cups. So in Recipe B 5/20, which can be written in percentages as 25%. Recipe C now has a total of 25 cups. So 6 cups of chocolate chips are used in the recipe. The percentage of chocolate chips in the mix is given by 6/25, which can be written as 24 percent. Recipie A has the highest percentage of chocolate chips of the three recipes.

Peanuts:

Recipie A calls for a total of ten cups. So, according to the recipe, A 2 cups are peanuts. The amount of peanuts in the mixture is given by 2/10, which can be written as a percentage of 20%. Recipie B calls for 20 cups. So there are 7 cups of peanuts in the recipe. The percentage of peanuts in the mix is given by 7/20, which can be written as 35%. Recipie C has a total of 25 cups, so there are 7 cups of peanuts in the recipe. The percentage of peanuts in the mix is given by 7/25, which is equivalent to 28 percent in percentages. The recipie b contains the highest percentage of peanuts of the three.

As a result, Recipie A has a higher percentage of chocolate chips and Recipie B has a higher percentage of peanuts.

The product of the complex numbers is -3 + 29i

Let the complex numbers be

Their difference M - N = x + iy - (a + ib) = x - a + i(y - b)

Their sum M + N = x + iy + (a + ib) = x + a + i(y + b)

Since the sum of two complex numbers is 7 + 8i, we have that

M + N = x + a + i(y + b) = 7 + 8i

⇒x + a = 7  (1) and y + b = 8 (2)

Also, the difference of the numbers is 1 - 2i, we have that

M - N = x - a + i(y - b) = 1 - 2i

⇒ x - a = 1 (3) and y - b = -2 (4)

Adding equations (1) and (2), we have

x + a = 7

+

x - a = 1

2x = 8

x = 8/2

x = 4

Substituting x = 4 into equation (1), we have

x - a = 1

4 - a = 1

a = 4 - 1

a = 3

Adding equations (2) and (4), we have

y + b = 8

+

y - b = -2

2y = 6

y = 6/2

y = 3

Substituting y = 3 into equation (2), we have

y + b = 8

3 + b = 8

b = 8 - 3

b = 5

So,

So, their product M × N = (4 + 3i)(3 + 5i)

= 4 × 3 + 4 × 5i + 3 × 3i + 3i × 5i

= 12 + 20i + 9i - 15

= 12 - 15 + 20i + 9i

= -3 + 29i

So, the product of the complex numbers is -3 + 29i

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Answer:

looks like 410,526 books in total

Step-by-step explanation:

lmk if you need work

true

Step-by-step explanation:

Answer:

3x-3

Step-by-step explanation:

So false if you Multiply

Step-by-step explanation:

Probability that Dan chooses a Green card = 0.2

Probability that Esther chooses a Green card = 0.2 (same set of cards = same probability)

Since they are independent events,

total probability = 0.2 * 0.2 = 0.04.

=>10³

5 × 10³ × 10³ = 5 × 10⁶

The 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.

The distributive property is the property that expresses the distributive law of algebraic multiplication for example we can write a(c+b)  in the form of (ac+bc).

We have an expression:

= 5×10³

We have to make the above expression equivalent to the \(5\times 10^6\)

Let's suppose the number is x.

Now according to the question:

\(\rm (5\times10^3)\times x = 5\times 10^6\)

\(\rm x = \frac{5\times 10^6}{(5\times10^3)}\)    (divide by 5×10³ on both sides)

x = 10³           (after simplification)

x = 1000

Thus, the 10³ or 1000 is multiplied by the expression 5x 10^3 is equivalent to the expression 5 x 10^6 option third is correct.

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Answer:

9 boxes

Step-by-step explanation:

By using permutation and Combination, there are 1320 different ways can 12 racecars finish in first, second, and third place.

Permutations and combinations form counting principles, which are applied in many different situations. A permutation is the number of different arrangements that can be made from a given set. When it comes to permutations, the details matter because the order or order matters. The three country names are spelled differently: {US, Brazil, Australia} or {Australia, US, Brazil) or {Brazil, Australia, US}, and the order in which the country names appear is important. In combination, the names of the three countries are just one group, and the order or sequence does not matter.

Now,

Here the order is defined (1st,2nd,3rd) place

So, we used the permutation formulae

P(n, r) = n!/(n-r)!

Here n= number of elements=12

And

r = number of permutation =3 ( 1st,2nd,3rd)

By putting the values in the formulae

P(12,3)=12!/(12–3)!

= 12.11.10.9!/9!

=12.11.10

= 1,320 ways.

Therefore, there are 1320 different ways can 12 racecars finish in first, second, and third place.

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Answer:

9) (a² + 9)/3   10) (2a - 1)/a   11) (3x + 1)/(2x + 3)   12) (x- 2y) / (x+2y)

Step-by-step explanation:

9) Had to simplify the numerator and denominator using difference of squares. a^4 - 81 is a difference of two perfect squares. This breaks down to (a² + 9)(a² - 9). The denominator had a GCF of 3, which became 3(a² - 9). Rather than breaking both of the (a² - 9)'s down to (a-3)(a+3), you can cancel them out. That leaves you the answer.

10) The numerator factors to (2a - 1)(a + 6). The method behind factoring is taught 100 different ways. I'd suggest youtubing a video of "How to factor a trinomial". The denominator has a GCF of a. Making that a(a+6). The two (a+6)'s cancel and you're left with the answer.

11) The numerator factors to (2x + 3)(3x + 1), the denominator factors to (2x+3)(2x + 3). So the (2x+3) cancels out and you're left with the answer.

12) The numerator simplifies to (x - 2y)(x - 2y). The denominator is a difference of squares (x + 2y)(x - 2y). The (x - 2y)'s cancel out. Left with the answer!

Enjoy.

Answer:

D. -3 < x

Step-by-step explanation:

-18 < 5x - 3

-18 + 3 < 5x

-15/5 < 5x/5

-3 < x

Answer:

i think these are the same as the one i answered on ur other question

just not the number lines

Answer:

step 2 is where she made her mistake

Step-by-step explanation:

- 4x + 1 > 9 ( subtract 1 from both sides )

- 4x > 8

divide both sides by - 4 , reversing the symbol as a result of dividing by a negative quantity.

x < - 2