Simplify the expression 63 + 5(4 − 2)

Answers

Answer 1
Answer:

Answer: 226

Step-by-step explanation:

6^3 + 5(4 - 2 )    

6^3 + 5 x 2

6 x 6 x 6 = 216

226 + 5 x 2

5 x 2 = 10

216 + 10 = 226

Answer 2
Answer:

Answer:

The answer is 226

Step-by-step explanation:


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Factor the GCF: 4x^5 y^6 + 10x^2 y^3

Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.Two lines that intersect at right angles are perpendicular.
The statement is not reversible.
Yes; if two lines intersect at right angles, then they are perpendicular.
Yes; if two lines are perpendicular, then they intersect at right angles.
Yes; two lines intersect at right angles if (and only if) they are perpendicular.

Answers

The correct answer is:

Yes; two lines intersect at right angles if (and only if) they are perpendicular.

Explanation:

If two lines intersect at right angles, they are by definition perpendicular.

If two lines are perpendicular, they, by definition intersect at right angles.

This means that two lines are perpendicular if and only if they intersect at right angles.

Final answer:

The definition of perpendicular lines is indeed reversible and can be expressed as a biconditional statement: 'Two lines intersect at right angles if and only if they are perpendicular'. Each condition functions as both a necessary and sufficient condition for the other.

Explanation:

Yes, the definition of perpendicular lines is reversible. This can indeed be expressed as a true biconditional statement. A biconditional statement is one in which each condition is necessary and sufficient for the other, or in simpler words, both conditions imply each other. In context, this biconditional statement would be: Two lines intersect at right angles if and only if they are perpendicular.

Here's how it works: If two lines are intersecting at right angles, by definition, they are perpendicular. Conversely, if two lines are perpendicular, they would necessarily intersect at right angles. Therefore, each condition is both a necessary and sufficient condition for the other, hence it's a true biconditional statement.

The concept of perpendicularity is crucial in various areas of mathematics, including geometry and trigonometry as it helps in understanding the spatial relationships between different lines and shapes.

Learn more about Perpendicular Lines here:

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What scale factor was used when going from the grey triangle to the yellow triangle

Answers

Answer:

It was used    (1)/(3)   as scale factor.  

Step-by-step explanation:

The scale factor is the ratio of two corresponding side lengths of similar figures. Similar figures have the same shape but are of different sizes.

To find the scale factor that was used when going from the grey triangle to the yellow triangle we can work with any of the three sides of the grey triangle.

Let's work with the below side.

The below side is extended from the point (-2,4) to the point (7,4)

The length of this side is 9 units.

In the yellow triangle, we can see that the below side is extended from the point (2,0) to the point (5,0)

The length of this side is 3 units.

Working with the lengths and the scale factor ⇒

(9units).(ScaleFactor)=3units

ScaleFactor=(3units)/(9units)=(1)/(3)

We find that the scale factor that was used when going from the grey triangle to the yellow triangle is (1)/(3)

Answer:

Scale factor of 1/3

Step-by-step explanation:

A cab charges $1.45 for the flat fee and $0.55 for each mile. Write and solve an inequality to determine how many miles Ariel can travel if she has $35 to spend. $1.45 + $0.55x ≥ $35; x ≥ 61 miles $1.45 + $0.55x ≤ $35; x ≤ 61 miles $0.55 + $1.45x ≥ $35; x ≥ 23 miles $0.55 + $1.45x ≤ $35; x ≤ 23 miles

Answers

Answer:

Step-by-step explanation:

To answer this question you first need to know what the inequality symbols mean!

≤ Less than or equal to

≥ Greater than or equal to

So if Ariel has $35 this mean the following:

$1.45 is the flat fee or y-intercept

$0.55 is the slope

This mean the following:

$1.45 + $ 0.55x ≤ $35

$0.55x ≤ $33.55

x≤61

What is the value of -4 + 91 + 72?

Answers

Answer:

159

Step-by-step explanation:

-4+91=87

87+72=159

Answer:

159

Step-by-step explanation:

These are the answer and the page it will help you solving it.1.Look at the first model.how can you find the volume of each rectangular prism?
2.how can you find the volume of the entire garden bed.?
3.what is the volume of the entire garden bed? Show your work
4. Now look at the second model.Show how tori d the volume of the garden bed if you break it apart this way.
6. Do you need to break apart a solid figure in a certain way to find its volume use the problem from the previous page to explain your reasoning.




(if you guys solve that I will put you brainlist and u will be my best number 1 math solving)

Answers

You x all the sides together and add the 2 numbers you get 

A roadside vegetable stand sells pumpkins for$5 each and squashes for $3 each. One day they sold 6 more squash than pumpkins an their sales totaled $98 .write and solve a system if equations to find how many pumpkins and squash hey sold?

Answers

Let's take those 6 squashes. You get 98-6*3=80. Now you have an identical number of pumpkins and squashes. A pumpkin and a squash are sold, in total, for $8, so to get $80 you need 10 of each. You have 10 pumpkins and 10+6=16 squashes.

Answer:

=16 squashes.