A rectangle has sides that measure x + 1/4
and 2x + 1/3. What is the perimeter of the
rectangle?

Answer: C. Two of the side lengths add to a sum that is less than the third side length, so these lengths cannot be used to draw any triangles.

Explanation:

Those two sides in question are 8 and 12. They add to 8+12 = 20, but this sum is less than the third side 24. A triangle cannot be formed.

Try it out yourself. Cut out slips of paper that are 8 units, 12 units, and 24 units respectively. The units could be in inches or cm or mm based on your preference.

Then try to form a triangle with those side lengths. You'll find that it's not possible. If we had the 24 unit side be the horizontal base, so to speak, then we could attach the 8 and 12 unit lengths on either side of this horizontal piece. But then no matter how we rotate those smaller sides, they won't meet up to form the third point for the triangle. The sides are simply too short. Other possible configurations won't work either.

As a rule, the sum of any two sides of a triangle must be larger than the third side. This is the triangle inequality theorem.

That theorem says that the following three inequalities must all be true for a triangle to be possible.

where x,y,z are the sides of the triangle. They are placeholders for positive real numbers.

So because 8+12 > 24 is a false statement, this means that a triangle is not possible for these given side lengths. Therefore, 0 triangles can be formed.

Answer: disregard my previous answer, it was incorrect, looking for right one right now

(you can delete this if you want)

Answer:

2.26666667

Step-by-step explanation:

Stay Frosty

Answer:

28/15

Step-by-step explanation:

Which of the following rational number is equal to 3,4?

31

9

Step-by-step explanation:

That's my opinion and I hope it helps^_^

Answer:

7

Step-by-step explanation:

Answer:

no answer

Step-by-step explanation:

2(-2)+3=-2

simplify

-4+3=-2

simplify

-1=-2

No answer

If there's something along the lines of no answer and it's multiple choice click that.

Hello!

[tex]\large\boxed{4 : 3 \text{ and } 16 : 12}[/tex]

We can go through each answer to verify whether each is equivalent to 8 : 6.

4 : 3 is equivalent to 8 : 6 because reducing the ratio 8 : 6  by a factor of 2 yields 4 : 3.

6 : 8 is not equivalent to 8 : 6 because the ratio is reversed.

16 : 12 is equivalent to 8 : 6 because the ratio is increased by a factor of 2.

10 : 8 is not equivalent to 8 : 6. We can verify this by checking whether each term was scaled equally:

10 ÷ 8 = 1.25

8 ÷ 6 = 1.33. Therefore, they are unequal.

7 : 5 is not equal to 8 : 6 for the same reason.

The only correct choices are:

4 : 3 and 16 : 12.

its A, i made a wrong calculation sorry.

Answer:

A

Step-by-step explanation:

Because I SAID SO

Answer:

i havent learned this in a while it has been some years from i was in 6 grade so i might get it wrong.

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Okay, so basically its trying to say you need to do 1.94k x 340 and you get = 673.18

Step-by-step explanation:

Answer:

option 3

Step-by-step explanation:

Answer:

6q + 2

Step-by-step explanation:

4q + 2 % = 6q

3 - 1 = 2

6q + 2

Answer: C= 25.12

Step-by-step explanation:

Circumference formula: 2nr

The radius of the circle is half of the diameter

If diameter is 8, then the radius is 4

C = 2 x 3.14 x 4

C = 25.12

Answer:

-75/64

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

2 1/2 inches

Step-by-step explanation:

Here, we want to give the measurement of point A that is marked on the ruler

We have this as;

As we can see, we have the whole number of inches before it as 2

Now, the small intervals between each of the whole numbers on the ruler is;

1/8

A is at the 4th point

So we have its measure added to 2 as:

2 + (4 * 1/8)

= 2 1/2 inches

Answer:

0.224

Step-by-step explanation:

Multiply the whole number by the denominator:

22 × 5 = 110

Add the product you got in Step 1 to the numerator:

110 + 2 = 112

Divide the sum from Step 2 by the denominator:

112 ÷ 5 = 22.4

That's it folks! The answer to 22 2/5 in decimal form is displayed below:

22 2/5 = 22.40

[tex]22\frac{2}{5}[/tex] % is equivalent to 0.225 as a decimal.

To convert [tex]22\frac{2}{5}[/tex] % to a decimal, we divide the mixed number by 100.

Convert the mixed number 22 2/5 to an improper fraction:

[tex]22\frac{2}{5}[/tex] = (22 × 5 + 2) / 5

= 112/5

Next, divide the resulting fraction by 100:

112/5 ÷ 100

= 112/5 × 1/100

= 112/500

Simplifying the fraction:

112/500

= 14/62

Divide numerator and denominator by 2:

= 7/31

=0.225

Therefore,  [tex]22\frac{2}{5}[/tex] % is equivalent to 0.225 as a decimal.

To learn more on Number system click:

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Answer:

The total amount of paint left is 1.6 gallon of paint remaining

Where she has:

1.5 gallon of orange paint left and 0.1 gallon of black paint left.

Step-by-step explanation:

Step 1

Callie has 2 cans of orange paint with 4.5 gallons in each can.

The total gallons of orange paint that she has is given as:

1 can = 4.5 gallons

2 cans = x gallons

Cross Multiply

x = 4.5 gallons × 2 cans

x = 9 gallons of orange paint.

She also has 9/10 of a gallon of black paint.

Her brother took 0.8 gallon of the black paint

and 3.75 gallons from each of the cans of orange paint.

Since there are 2 cans, the total gallons of orange paint that her brother took = 2 × 3.75 gallons

= 7.5 gallons

Step 2

For orange paint

The amount of orange paint that she has left = 9 gallons - 7.5 gallons

= 1.5 gallons of orange paint left.

For black paint

We are told that: She also has 9/10 of a gallon of black paint.

Converting to decimal

= 0.9 gallon of black paint.

Her brother took 0.8 gallon of the black paint

The total gallon of black paint that she has left =

0.9 gallon - 0.8 gallon

= 0.1 gallon of black paint left.

The total amount of paint Callie has remaining after her brother took the stated amounts is:

1.5 gallon of orange paint + 0.1 gallon of black paint = 1.6 gallon of paint remaining

Answer:

this is a kite so angle bod is congruent to angle a

a = 120 degrees

360 degrees in a kite. 360 - 102 - 102 - 58 = 98

B= 98 degrees

Answer:

8.1-5.6n

Step-by-step explanation:

So first combine like terms

3.1+5=8.1

-3.6n-2n= -5.6n

Now just combine them

8.1-5.6n

Answer:

factored is 2(7-8k)

Step-by-step explanation:

hope this helps!

Answer:

A) on the y-axis

Step-by-step explanation:

A residual plot has the Residual Values on the vertical axis (y-axis); the horizontal axis (x-axis) displays the independent variable.

Answer:

161.29 inches

Step-by-step explanation:

just multiply 63.5 by 2.54

The centimeter equivalent of Sadie's height is  142.875 cm.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Sadie is 63.5 inches tall and 2.54 cm equals 1 inch.

∴ Sadie's height in cm will be his height in inches multiplied by 1 inch equivalent of cm which is,

= (63.5×2.25) cm.

= 142.875 cm.

learn more about the unitary method here :

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Answer:

37% ;-;

Step-by-step explanation:

Answer:

37%

Step-by-step explanation:

It's kinda obvious...

Step-by-step explanation:

Find 10%:

100% = 2500

1% = 2500 divide 100

= 25

10% = 25 x 10 = 250

Find the 13% vat:

13% = 25 x 13 = 325

Find the total amount he got charged:

325 + 250 = 575

Total amount he had to pay for dinner + charges:

2500 + 575 = 3075

Answer: Rs. 3075

The true statement is that Stephen's factored expression is incorrect

The expression is given as:

[tex]x^2-10x+21[/tex]

Start by expanding the equation

[tex]x^2-10x+21 = x^2-7x - 3x+21[/tex]

Factorize the equation

[tex]x^2-10x+21 = x(x-7) - 3(x-7)[/tex]

Factor out x - 7

[tex]x^2-10x+21 = (x-3)(x-7)[/tex]

The above expression shows that:

Stephen's factored expression is incorrect

Read more about factored expressions at:

https://brainly.com/question/11579257