Caleb draws 14 dogs on each of 4 posters.He draws 18 cats on each of 6 other posters. If he draws 5 more dogs on each poster with dogs, how many dogs ad cats does he draws?

Answers

Answer 1

Answer: Caleb draws 14 dogs on each of 4 posters.
Then,
Number of dogs drawn by caleb in the first instance = (14 * 4) dogs
      = 56 dogs
Celeb drew 18 cats on each of 6 other posters.
Then
Number of cats drawn by Caleb in the first instance = (18 * 6) cats
   = 108 cats
Again Caleb draws 5 more dogs on each poster with dogs.
Then,
The number of Dogs drwn in the second instance = (5 * 4) dogs
   = 20 dogs
So, the total number of dogs drawn by Caleb = ( 56 + 20) dogs
   = 76 dogs
Then the total number of cats and dogs drawn by Caleb = 108 + 76
   = 184

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You are borrowing $4,285 to purchase a computer using a 36 month installment plan. Determine the annual percentage rate (APR) and the monthly payment given that the interest charge is $513.26. Round your answer to the nearest whole percent and to the nearest cent.

Answers

The price of the computer is 4 285 dollars which you borrowed for an installment plan.
Let's solve for the APR and the monthly payment.
The interest charge is 513.26 dollars for 36 months
=> 36 months = 3 years
=> 513.26 / 3 years = 171.1 dollars per year is the interest.

=> 4 285 + 513.26 = 4 798.26 dollars
=> 4 798.26 dollars /3 years = 1599.42 dollars per year
=>599.42 dollars / 12 months 133.29 dollars per month

How do I go about solving this?

Answers

Hello,

Here i am using vectors

$\vec{AB}=\vec{DC}=3\vec{i}+3\vec{j}$
==> AB//DC and AD//BC (definition of a translation)

The quadrilater ABCD is a parallelogram:
so
1) his diagonals have the same length;

2) his diagonals are cutting in the middle.

(these are proprieties of a parallelogram)

How do I find the correct variable for N? (It won't be negative I think)

Answers

Answer:

$25$

Step-by-step explanation:

$\mathrm{For\ the\ set\ to\ be\ the\ sets\ of\ natural\ numbers,\ (n)/(5)\ and\ √(n+144)\ must\ be\ a}\n\mathrm{positive\ integer.}\n\mathrm{√(n+144)\ is\ a\ natural\ number\ when\ (n+144)\ is\ a\ perfect\ square.}\n\mathrm{And\ (n)/(5)\ is\ a\ natural\ number\ if\ and\ only\ if\ n\ is\ exactly\ divisible\ by\ 5.}\n\mathrm{So\ we\ need\ to\ find\ the\ smallest\ positive\ integer\ which\ would\ make\ both\ of\ these}\n\mathrm{cases\ true.}$

$\mathrm{Now\ we\ know\ that\ 144\ is\ a\ perfect\ square.\ The\ most\ closed\ perfect\ square\ to}\n\mathrm{144\ are\ 121\ and\ 169.}\n\mathrm{We\ are\ taking\ these\ closest\ perfect\ squares\ to\ 144\ because\ we\ want\ the\ value\ of}\n\mathrm{n\ to\ be\ as\ small\ as\ possible.}\n\mathrm{Now\ if\ (n+144)=121,\ n=23\ (which\ is\ not\ divisible\ by\ 5).}\n\mathrm{if\ (n+144)=169,\ n=25(which\ is\ divisible\ by\ 5).}$

$\mathrm{Notice,\ when\ n=25,\ 34+n,\ (n)/(5)\ and\ √(n+144)\ are\ all\ natural\ numbers.}\n\therefore\ \mathrm{n}=25.$

Which is a factor of x2 - 9x + 14?
O X-9
O X-2
O x + 5
O x + 7

Answers

Answer:

X-2

Step-by-step explanation:

ON MY DOG WAGGY TAIL DIS DA RIGHT ANSWER

(X-7) and (x-2)
Factor x2 -9x+ 15 using the AC method

Write the equation in standard form 6x=y+3

Answers

The standard form of this equation is 6x - y = 3. Standard form is Ax + By = C, where A and B are the coefficients for x and y, and C is the number without a variable attached, or the constant. We just need to do a bit of algebra to get the equation in standard form.

6x = y + 3 Given
6x - y = 3 Subtract y from both sides

Hope this helps!

standard form is ax+by=c
6x=y+3
lets move the y over to left side
minus y from both sides
6x-y=3

You and two friends are having dinner. The bill is $120. If you split it evenly, how much do you have to pay?

Answers

If you divide 120$ by 2 people it equals to 60$ so each person has to pay 60$

Final answer:

The question pertains to Mathematics, asking how to evenly split a bill. In this case, $120 is divided by three (you and your two friends), resulting in each person paying $40.

Explanation:

The subject of this question is Mathematics, specifically a calculation problem. You are faced with the scenario of splitting a dinner bill evenly with your friends. The bill comes to a total of $120 and you need to split it amongst three people: yourself and two friends.

To calculate this, you simply need to divide the total amount of the bill by the number of people. So, $120 divided by 3 equals $40. Thus, each person will pay $40 to cover the total cost of the meal.

In conclusion, when you divide any amount equally amongst a group of people, you are performing a mathematic operation known as division. In this question, you divide the total cost of the dinner by the number of people to find out how much each person will have to pay. In this case, each person will pay $40.

Learn more about Division here:

brainly.com/question/33969335

#SPJ11

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