Find the equation of a line passing through the points (2,1) and (4,7).

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!

The answer will be D

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:

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.

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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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.

Answer:

6

Step-by-step explanation:

fred has 2 peanut butter and 3 jelly

type 1 peanut butter can go with all three types of jelly = 3 pb&js where ther is one constant peanutbutter and 3 different jellys

type 2 peanut butter can go with all three jellies = 3 pb&js where there is one constant peanutbutter and 3 different jellies

3+3=6

there are 6 peanut butter and jelly sandwhiches he could make.

you can also just multiply the numbers (2x3=6)

Final answer:

Fred can make 6 different peanut butter and jelly sandwiches by multiplying the number of peanut butter types by the number of jelly types (2 types of peanut butter × 3 types of jelly). The type of bread does not affect the count as there's only one type.

Explanation:

To determine how many different peanut butter and jelly sandwiches Fred can make, we need to consider all possible combinations of peanut butter, jelly, and bread. Since Fred has two types of peanut butter, three types of jelly, and one type of bread, the number of different sandwich combinations can be calculated using the Counting Principle. This principle states that if there are n ways to do one thing, and m ways to do another, then there are n × m ways to do both.

In Fred's case, for every type of peanut butter, he can choose from three different types of jelly. So, for two types of peanut butter, we have:

2 types of peanut butter × 3 types of jelly = 6 combinations

Since there's only one type of bread, it doesn't change the number of combinations.

Therefore, Fred can make 6 different peanut butter and jelly sandwiches.

it is very sad but she makes 320 jokes and only 16 of them are funny

step by step equation

16 ÷ 0.05 = 320

brainliest por favor

pfffft! that is great, but to get serious (poor frickin' Jasmine!) she makes about 59 funny jokes! maybe she needs to go back to clown school I make 59' funny jokes an hour! I hope this makes you laugh but more importantly I hope it helps you and I pray that ya get a big 100% ;-)

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.

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

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:

22.360679775 or rounded up to 22.4

Answer:

5 √ 22  

Step-by-step explanation:

the answer is 16 1/4

Hi! I'm Jenny, and I'm a mathematician! I am ecstatic to help you with this problem! :)

425 ÷ 4 in long division:

1 0 6

4 4 2 5

− 4    

 0 2  

−   0  

   2 5

 − 2 4

     1

Message from ExperimentsDIYS:

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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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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]

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.

the answer is 8000 grams

Answer:

8000 g

Step-by-step explanation:

Start with the conversion:

1 kg = 1000 g

Now multiply both sides by 8.

8 kg = 8000 g

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.

Answer:

33.0693 pounds

Step-by-step explanation:

Rewrite the inequality as

[tex] w<12 [/tex]

by adding 4 to both sides.

So, you want to pick only the values that are strictly less than 12, i.e. all of the values except 13.

The third graph in the image is showing the best results of the inequality 5 x + 10 y ≤ 5,000.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that than $5,000 on raw materials for recliners. The raw materials cost $5 per square foot of cloth and $ 10 per foot of wood. To summarize the situation, a worker writes the inequality: 5 x + 10 y ≤ 5,000.

The inequality is graphed and the graph is attached with the answer below with the answer.

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Answer: 25 feet during a climb

Step-by-step explanation:

well, 768 rounds up because it is close to 800 than 700. so the answer is 800 :)

It would be 800, because to get to 800 you would need to add 32,while you would have to subtract 68 to get to 700. Therefor the answer is 800

To find the number of ways six people can be allocated to three different cars with the man alone, we consider the man's three choices and then partition the five women into the remaining two cars in all possible ways, then multiply by the man's choices.

The question asks for the number of different ways six people can be allocated to three different cars, ensuring the man is alone. Since there are three cars, the man has three choices of cars to be alone in. After the man has chosen his car, we have five women and two remaining cars. The five women can be distributed in these cars in a 5-partition of two numbers, which means the number of ways we can divide five into two groups without considering order.

The possible partitions for the five women are (3,2), (4,1), and (5,0). For each partition, there are combinations of woman that can occupy the cars. For example, for partition (3,2), we have 5 choose 3 ways to choose which three women are in the first car and the remaining two automatically go to the second car. We repeat this process for each partition. Finally, we must multiply the number of ways for each partition by the three initial choices the man had to get the total number of combinations.