Mrs Tolbert was hungry and ate 12 out of the 36 pieces of chocolate. What fraction did she eat. What is the fraction in simplest form

The solution to the inequality |d + 9| > 3 is d < -12 and d > -6.

The question is asking how to solve the absolute value inequality |d + 9| > 3. For this problem, you need to consider two scenarios because an absolute value represents a distance, which can be either positive or negative. For the first scenario, consider the inequality as (d + 9) > 3 which, when simplified, gives us d > -6. For the second scenario, consider the inequality as -(d + 9) > 3, which simplifies to d < -12. That means any value of 'd' that's greater than -6 or less than -12 will satisfy the inequality.

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The answer will be D

The slope-intercept form: y = mx + b

We have in point-intercept form: y - 5 = 6(x + 1)

Transform:

y - 5 = 6(x + 1)     |use distributive property

y - 5 = (6)(x) + (6)(1)

y - 5 = 6x + 6     |add 5 to both sides

y = 6x + 11

The equation of required line in slope intercept form is y= 6x + 11 First option is correct

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c Where m is the slope of the line and c is the y intercept of the line. Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis. If  [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by m =  [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

[tex]y - 5 = 6(x + 1)\\y - 5 = 6x + 6\\y = 6x + 6 + 5\\y = 6x +11[/tex]

y= 6x + 11 is the equation written in slope intercept form. First option is correct

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The first error is in Step 3 because 4 * 7 = 28, not 26.

The steps to convert 23/4 to a decimal are mentioned, but the error is not specified.

The steps to convert 23/4 to a decimal are:

The error in the given steps is not mentioned, so it's not clear which step is incorrect. However, if any step is incorrect, it would result in an incorrect decimal conversion.

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[tex]|2x+3|\geq23\iff2x+3\geq23\ \vee\ 2x+3\leq-23\qquad|\text{subtract 3 from both sides}\\\\2x\geq20\ \vee\ 2x\leq-26\qquad|\text{divide both sides by 2}\\\\x\geq10\ \vee\ x\leq-13[/tex]

Answer:

33.0693 pounds

Step-by-step explanation:

Let's set the equation and the mysterious number to x:

x/2+2/6=12

Then, times both sides by 12:

6x+2x=144

8x=144

x=18

The number that you are thinking of is 18.

Answer:

The bus driver is now driving 100 mph after the stop light.

Step-by-step explanation:

If he slowed down 22 mph from 122 you'd subtract. 122-22=120 mph. Hope it helps!

The bus initially driving at 122 mph slows down by 22 mph at a red light, resulting in a current speed of 100 mph. The calculation is 122 mph minus 22 mph.

Calculating the Speed of the Bus

To determine the current speed of the bus, we need to account for the reduction in speed due to the red light.

The bus is initially driving at 122 mph. When it stops at the red light, its speed is reduced by 22 mph.

So, we use the following calculation:

Speed reduction: 22 mph

Therefore, the final speed is:

122 mph - 22 mph = 100 mph

The bus is now driving at 100 mph.

50,000 or Ten thousands

the value of the digit 5 is 50,000. Think of it as the numbers behind 5 as zeros and you will have the answer.

Answer:

Step-by-step explanation:

140-30=110

He charges 10$ every time he mowed someones lawn

So 110/10=11

He would have to mow his neighbors lawn 11 times.

Answer:

Keegan need to mow 11 times to his neighbors lawn to have enough money to buy the skateboards.

Step-by-step explanation:

Consider the provided information.

It is given that Keegan need $140 and Keegan saved $30. Keegan also charges $10 each time he completes the job writing.

Let x the number of times Keegan needs to mow his neighbors lawn to earn enough money.

Thus the required equation is;

[tex]140=30+10x[/tex]

Now solve the equation as shown below:

[tex]140-30=10x[/tex]

[tex]110=10x[/tex]

[tex]\frac{110}{10}=x[/tex]

[tex]x=11[/tex]

Hence, Keegan need to mow 11 times to his neighbors lawn to have enough money to buy the skateboards.

Let the domain be

i.  The set of all natural numbers

ii.  The set of all real numbers

i.  The set of all natural numbers

Note that the smallest natural number that satisfies this inequality is 13 and there is no biggest natural number which satisfies the inequality.

Hence, the range is {13, 14, 15, ...}

ii.  The set of all real numbers

Clearly, the set of all real numbers that satisfies this inequality is the open interval (12.4, ∞).

Answer:

option B :)

Step-by-step explanation:

Dividing:-   (1.75 * 10^18) / (6.25 * 10^15)

=  (1.75 / 6.25) * (10^18 / 10^15)

= 0.28 * 10^3

= 280    Answer

Final answer:

The number of bacteria in petri dish A (1.75×1018) is 280 times greater than the number of bacteria in petri dish B (6.25×1015).

Explanation:

To find out how many times greater the number of bacteria in petri dish A is compared to petri dish B, we divide the number of bacteria in dish A by the number of bacteria in dish B.

Number of bacteria in dish A = 1.75×1018

Number of bacteria in dish B = 6.25×1015

Now, let's divide the two:

(1.75×1018) / (6.25×1015) = (1.75 / 6.25) × 10(18-15)

1.75 divided by 6.25 is 0.28, and 1018 divided by 1015 is 103.

Therefore, 0.28 × 103 = 280. The number of bacteria in petri dish A is 280 times greater than the number of bacteria in petri dish B.

So the initial renting fee for you and your friend is $16(8 bucks a piece). Each hour you and your friend will be paying $7 (that's 1.75 for each HALF hour for each of you).  

nal answer:

After subtracting the initial rental cost for two bicycles, the remaining amount spent was divided by the cost per half hour to find the total number of half hours ridden. Each person rode for 3 half hours, which equates to 1.5 hours each.

Explanation:

To calculate how many hours each of you rode a rented bicycle at the bike rental shop, let's break down the charges. The shop charges $8 per person to rent a bicycle and $1.75 for every half hour of ride time. Since there were two of you, the initial cost would be 2 × $8 = $16. The total amount spent was $26.50, so subtracting the initial rental cost, we have $26.50 - $16 = $10.50 left for the actual riding time.

The cost of riding time per person is $1.75 per half hour. So, we divide the remaining amount $10.50 by $1.75 to find the total number of half hours both of you rode combined: $10.50 / $1.75 = 6 half hours. Since this is the combined time for both you and your friend, each of you rode for 3 half hours, or 1.5 hours in total.

I would first solve how long it takes for 1 tyres to make life easier. Just solve 56 divided by 4, which means that Liam takes 14 minutes to put one tyres into the van. For part a, I don't quite understand the 3 vans part, but you know he 's putting 12 tyres into a van, so multiply 12 by 14 to get 156. Part B gives you time instead of tyres. Solve it practically the same... 42 divided 14  is 3, so he fits 3 tyres in 42 minutes,

Answer:

Part a) [tex]168\ minutes[/tex]  or  [tex]2\ hours\ 48\ minutes[/tex]

Part b) [tex]3\ tyres[/tex]

Step-by-step explanation:

Part a) Using a proportion

[tex]\frac{56}{4}\frac{minutes}{tyres}=\frac{x}{12}\frac{minutes}{tyres} \\ \\x=12*56/4\\ \\x=168\ minutes[/tex]

[tex]168\ minutes=2.8\ hours=2\ hours\ 48\ minutes[/tex]

Part b) Using a proportion

[tex]\frac{56}{4}\frac{minutes}{tyres}=\frac{42}{x}\frac{minutes}{tyres}\\ \\x=4*42/56\\ \\x=3\ tyres[/tex]

Step 1. Expand

-8n + 12 = 12 - 8n

Step 2. Cancel -8n on both sides

12 = 12

Step 3. Since both sides equal, there are infinitely many solutions

Answer: Infinitely Many Solutions

22.360679775 or rounded up to 22.4

Answer:

5 √ 22  

Step-by-step explanation:

Answer: There are a lot of answers to this product. Some of them include (in the format (w, x), where w is the whole number, and x is the factor you must multiply it by to get 0.24):

(2, 0.12), (3, 0.08), (4, 0.06), (6, 0.04), and so on.

Step-by-step explanation: Well, you could just assign the smallest who number greater than 1 to one of the factors, which is 2. Now you just have to multiply that by another factor to get 0.24. To do this, you could set up an equation like this:

2*x=0.24

Next, you would divide both sides by 2 to cancel out the 2 on the left side of the equation, leaving you with:

x=0.12

There you have it!

Now you can check your work by multiplying 2 and 0.12, and you will get 0.24!

You can do the same thing with other whole numbers, such as 3 and 4, and complete the same process to find the decimal factor that multiplies to 0.24.

Answer: 25 feet during a climb

Step-by-step explanation:

6 percent because 300/500 equals 0.6.

Well, there are 500 people, but only 300 are coming on the trip. That means that 200 people aren't going on the trip. Therefor, 200/500 is the fraction you would use. Now, just simplify the fraction. 200/100=2, and 500/100=5, so the fraction simplifies down to 2/5. 2/5 equals 40% so 40% of the people were not able to go on the trip.

By finding the Least Common Multiple (LCM) of 4 and 10, we can discover that the math club and Spanish club will coincide every 20 days.

This query relates to the concept of the Least Common Multiple (LCM). As the math club convenes every 10 days and the Spanish club convenes every 4 days, we need to find when these meetings will coincide again. In other words, we are finding the LCM of 4 and 10. This tells us the least common multiple days that the two clubs meet.

Let's breakdown the calculation:

Therefore, the Spanish club and the math club will meet on the same day every 20 days.

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for A)

if she has $ for the downpayment of $70

for B)

360-70+290

290/ 5=58

amount paid = 290-58(#month)

a=290-58m

ANSWER

A= -58m+290

A) The factors that Alani should consider before deciding on the option to choose are:

B) The amount that Alani would have to pay for the weekly payments is $58.

An equation to model the amount paid for Option A after m months is A = 360 - 70 + mx.

Option A:

Total cost = $360

Initial down payment = $70

Number of weekly payments = 5

Weekly payment = $58 (360 - 70)/5

Option B:

Total cost = $360

Weekly payment = $60 ($360/6)

Equation:

Let the weekly payment = x

Let the number of monthly payments = m

Total amount paid after m months (A) = 360 - 70 + mx

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Alani wants to buy a $360 bicycle.  She is considering two payment options.

Option A consists of making an initial down payment of $70 and then 5 smaller, equal-sized weekly payments until she has paid a total of $360.  

Option B consists of making 6 equal payments over 6 weeks in order to pay a total of $360.

A) What factors should Alani take into consideration before deciding which option to choose?

B) How much would Alani have to pay for each weekly payment with option A?  Write an equation to model the amount paid for Option A after m months

Answer:

The larger of the two angles is x, which is 75. y is the smaller angle at 15.

Step-by-step explanation:

In order to find these, we can use our solved value for y in the second equation to plug into the first equation. This method is called substitution.

x + y = 90

x + (1/5x) = 90

1.2x = 90

x = 75

Now we can plug that value into either equation to find y

y = 1/5x

y = 1/5(75)

y = 15

Answer:

1.) 75

2.) 15

Step-by-step explanation:

edge 2020 Dec 8

The greatest common factor (GCF) of the monomials [tex]34a^2b[/tex] and [tex]24a^5b^2[/tex] is [tex]2a^2b[/tex]. This is found by determining the GCF of the coefficients and the lowest exponent for each common variable.

To find the GCF of two monomials, we need to find the common factors for the coefficients, and then the lowest exponent for each variable that appears in both terms. The coefficients of the given monomials are 34 and 24. The GCF of these numbers is 2.

Next, look at the variables:

For a, the lowest exponent in both terms is a2

For b, the lowest exponent is just b (since one term is b, and the other is b2)

Therefore, the GCF of [tex]34a^2b[/tex] and [tex]24a^5b^2[/tex] is [tex]2a^2b[/tex].

Answer:

By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that [tex]x^{2} =pz[/tex]

Step-by-step explanation:

Given that ∠ABC=∠ADC, AD=p and DC=q.

Let us take compare Δ ABC and  Δ ADB in the attached file , ∠A is common in both triangles

                                                                     and given ∠ABC=∠ADB=90°

Hence using AA postulate, ΔABC ≈ ΔADB.

Now we will equate respective side ratios in both triangles.

[tex]\frac{AB}{AC}= \frac{AD}{AB}=\frac{BD}{BC}[/tex]

Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.

[tex]\frac{x}{z}= \frac{p}{x}[/tex]

Cross multiply

[tex]x^{2}=pz[/tex]

Hence proved.

n = 2

distribute and simplify left side of equation

50 - 10n - 1 = 29

49 - 10n = 29 ( subtract 49 from both sides )

- 10n = 29 - 49 = - 20

n = [tex]\frac{-20}{-10}[/tex] = 2

To get rid of the parantheses we must multiply 10 by anything inside the parantheses.

10(5-n)-1=29

50-10n-1=29

Combine like terms

50-10n-1=29

49-10n=29

Subtract 49 from both sides

49-10n=29

-10n=-20

Divide both sides by -10

-10n/-10=-20/-10

n=2

Our final answer is 2

Hope this helps!

[tex]2x^2-12xy-32y^2=2(x-8y)(x+By)\qquad|\text{use distributive property}\\\\2x^2-12xy-32y^2=(2x-16y)(x+By)\\\\2x^2-12xy-32y^2=(2x)(x)+(2x)(By)+(-16y)(x)+(-16y)(By)\\\\2x^2-12xy-32y^2=2x^2+2Bxy-16xy-16By^2\\\\2x^2-12xy-32y^2=2x^2+(2B-16)xy+(-16By)[/tex]

[tex]\text{therefore:}\\\\2B-16=-12\ \text{and}\ -16B=-32\\\\2B=4\ \text{and}\ B=2\\\\B=2\ \text{and}\ B=2\qquadCORRECT[/tex]

Hello!

To find the closet number we first need to understand how our data, and how to find the mean.

The mean is known as the average, which we find when we add all of our data up and divide by the number of factors.

In this case, after reading our graph, our data set is equal to:

3,4,4,4,4,5,5,5,5,5,6,6,6,6,7,7,8,9,10,11

When all of these numbers are added we get = 120

120 divided by 20 (the total number of factors) is equal to 6!

Which means that the answer to this question is E. 6

Hope this helps.

Based on the calculations, a number which is closest to the mean of this distribution is equal to: E. 6.

A mean is also known as arithmetic average and it's a ratio of the sum of the total number in a data set to the frequency of the data set.

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 3 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 7 + 8 + 9 + 10 + 11

F(x) = 120.

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = [120]/20

Mean = 6.

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