An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side?Explain how you would define a variable for this problem.

Answers

Answer 1
Answer: let's take one side of the two equal lengths as r
third side is s.
so the total perimeter is r + r + s
2r + s = 23

According to the statement of third side s, 
5 less than twice the length of one of other
s = 2r - 5

we have 2 equations and 2 unknowns. so we can find out the values of those letters.

2r + s = 23
2r - s = 5

4r = 28
r = 7

s = 9
Therefore the third length will be equal to 9 cm.


Answer 2
Answer:

Answer:

x+x+(2x-5)=23

Step-by-step explanation:


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5xthe power of x...................

How would I complete this equation?

(7a+3)+(-a-5)= -16

Answers

(7a+3)+(-a-5)=-16
Combine like terms:6a-2=-16
Add 2 to both sides: 6a=-14
Divide both sides by 6: a=-14/6
Simplify: a=-7/3
(7a+3)+(-a-5)=-16
6a-2=-16
6a=-14
a=-2.3333333333

Mark is driving 65mph when the speed limit is 45mph in a work zone. Highway patrolman is 2 miles behind Mark chasing him 75mph. How long will it take the highway patrolman to catch up the speeding car if they both maintain the same speed?

Answers

Answer:

20 seconds i think

Step-by-step explanation:

Use the distributive property to rewrite 28*63

Answers

(20+8)*(60+3)
Not sure if this is what you were looking for but I hope it helps.

Final answer:

To use the distributive property to state 28*63, we break down 28 into two smaller numbers say 20 and 8, and then multiply each by 63 and add the products. So, 28*63 is (20*63)+(8*63), which is 1764.

Explanation:

The problem is asking you to use the distributive property to rewrite the multiplication 28*63. The distributive property is about breaking down larger numbers into smaller, manageable parts. Now, this involves a strategy of breaking down the numbers.

Let's break down the number 28 into 20 and 8.  So, the multiplication could be rewritten as (20 + 8) * 63.

Now apply the distributive property (also known as Distributive Law of Multiplication) which states that multiplying a number by a sum of two numbers is equivalent to multiplying the number individually by each of the numbers and then adding the products together.

So,  (20 + 8) * 63 equals (20*63) + (8*63)

The final answer to the equation would be (20*63) + (8*63) = 1260 + 504 = 1764.

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Which of the following describes the domain of the function?

Answers

I think it's A but I'm not sure. The domain of a relation is simply the input, or x-values of the relation 

Thomas is grandfather's 100 years old. Thomas grandfather is 10 times as old as Thomas. How old is thomas

Answers

Thomasis 10 years old.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Let Thomas's age: x

∴ Grandfather's age: 100

As per the questions

Thomas is grandfather's 100 years old.

Thomas grandfather is 10 times as old as Thomas.

Grandfather's age =  Thomas age

100 = 10x

10x = 100

x = 100/10

x = 10

So, Thomas's age is 10 years

Hence, Thomasis 10 years old.

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its one thousand years old because you need to multiply 100 and 10. hope it was useful 


Which expression is equivalent to 10 - 810−810, minus, 8?

Answers

Answer:

10+(-8)

Step-by-step explanation:

Final answer:

The expression 10 - 8 - 810 is equivalent to -808.

Explanation:

The expression 10 - 8 - 810 is equivalent to subtracting 8 from 10 and then subtracting 810. The order of operations states that subtraction should be done from left to right, so we first subtract 8 from 10 to get 2. Then we subtract 810 from 2 to get -808.

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