MATHEMATICS HIGH SCHOOL

You take a walk and notice dogs in the dog park. There are a total of 8 small and large dogs. You realize there are 2 more large dogs than small dogs. How many are there of large and small dogs?

Answers

Answer 1
Answer:

There are 5 large dogs and 3 small dogs

Solution:

Let "S" be the number of small dogs

Let "L" be the number of large dogs

Given that There are a total of 8 small and large dogs

So we can frame a equation as:

number of small dogs + number of large dogs = 8

S + L = 8 ------- eqn 1

You realize there are 2 more large dogs than small dogs

Number of large dogs = 2 + number of small dogs

L = 2 + S  -------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "L" and "S"

Substitute eqn 2 in eqn 1

S + 2 + S = 8

2S + 2 = 8

2S = 6

S = 3

Substitute S = 3 in eqn 2

L = 2 + 3 = 5

L = 5

Thus there are 5 large dogs and 3 small dogs
Answer 2
Answer:

Answer:

5 large dogs and 3 small dogs

Step-by-step explanation:

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A phone company uses the equation y=0.15x+10 to find y the monthly charge for a customer sending x text messages. How many text messages are sent if the monthly charge is $77.50?

Pls help i need asap for homework
-5/6m = -60
m = ?

Answers

Step-by-step explanation:

Hey there!

Given;

-5/6m = -60

~ Multiply "6m" and "-60".

-5 = 6m*-60

-5 = -360m

~ Divide "-5" by "-360"

m = -5/-360

m = 1/72

Therefore,the value of "m"is 1/72.

Hope it helps....

Critical thinking. Make a conjecture about the relationship between three consecutive whole numbers based on this relationship illustrated by the numbers 7, 8, and 9: 7+9/2=8. Can you find a counterexample?

Answers

I need help with that too. :,-(

WZ
1. Which of the following terms best
describes the relationship between
Zw and 2X?
A corresponding angles
B same-side interior angles
C alternate interior angles

Answers

Answer:

b

Step-by-step explanation:

Solve the equationin x =-3
​A.x=?

(Round to five decimal places as needed. Use a comma to separate answers as​ needed.)

B.The solution is the empty set.

Answers

Answer:

x = 0.04979

Step-by-step explanation:

ln x = -3

x = e^(-3)

x = 1/e^3

x = 0.04979

The Patels took out a 15-year mortgage. How many monthly payments will they have to make on this mortgage? A. 360
B. 60
C. 180
D. 90

Answers

There are 12 months in a year, and 15 years to pay the mortgage.

Therefore you are simply doing 12 multiplied by 15.

12 × 15
= 180

So your answer is C. 180

Final answer:

To calculate the total number of mortgage payments over a period of 15 years, one should multiply the number of years by 12. Thus, a 15-year mortgage will have 180 payments in total.

Explanation:

The Patels took out a 15-year mortgage. A mortgage is usually paid on a monthly basis. Therefore, to calculate the total number of payments the Patels will make, multiply the number of years by 12 - the number of months in a year. So, 15 years * 12 months/year equals 180 payments. Therefore, the correct answer is C. 180.

Learn more about Mortgage Payments here:

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At a local fitness center, members pay an $8 membership fee and $4 for each aerobic class. Nonmembers pay $6 for each aerobic class. For what number of aerobics classes will the cost for members and nonmember be the same?

Answers

In the aerobics classes of 4 will the cost for members and nonmember be the same.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

At a local fitness center, members pay an $8 membership fee and $4 for each aerobic class.

And, Nonmembers pay $6 for each aerobic class.

Now,

We can formulate;

For members, the cost = $8 + 4x

Where, x is the aerobic class.

For nonmembers;

The cost = 6x

We can equate both the equation, we get;

6x = 8 + 4x

Solve for x as;

6x - 4x = 8

2x = 8

x = 4

Thus, In the aerobics classes of 4 will the cost for members and nonmember be the same.

Learn more about the mathematical expression visit:

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An aerobic lesson will be defined as 'a'
For every member lesson, they pay $4, so they will be represented as 4a
For every non member lesson, they pay $6, so they are 6a
Don't forget members have to pay $8 at the start, so they have to be 4a + 8
So
4a + 8 = 6a is our final equation
Move the 'a's to one side, by subtracting 4a from each side, giving you
8 = 2a
Divide by 2 to isolate a
4 = a
After 4 aerobics classes, the cost will be the same
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