What is the perimeter in centimeters of triangle ABC?<br><br> 12 cm<br> 14 cm <br> 21.5 cm <br> 35

Julia has to mow two yards she will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard she has

Mazyrski [523]

Answer:

Julia has enough gas to mow the two yards.

Step-by-step explanation:

Given:

Julia needs $\frac{13}{16}$ gallon of gas to mow first yard.

Julia needs $\frac{2}{5}$ gallon of gas to mow second yard.

Julia has a total of $1\frac{1}{2}$ gallon of gas in in her can.

To find whether she has enough to mow both yards.

Solution:

Total gallons of gas needed to mow two yards can be found out by :

⇒ $\frac{13}{16}+\frac{2}{5}$

Taking LCD =80.

⇒ $\frac{13\times 5}{16\times 5}+\frac{2\times 16}{5\times 16}$

⇒ $\frac{65}{80}+\frac{32}{80}$

Adding the numerators.

⇒ $\frac{97}{80}$

⇒ 1.2125 gallons

Julia has $1\frac{1}{2}$ gallon = 1.5 gallons of gas in in her can.

Since $1.5>1.21$ , thus we can say that Julia has enough gas to mow the two yards.

8 0

3 years ago

A classic counting problem is to determine the number of different ways that the letters of millennium can be arranged. Find tha

Eddi Din [679]

Answer:

<u>The correct answer is that the number of different ways that the letters of the word "millennium" can be arranged is 226,800</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of letters of the word "millennium" = 10

Letters repeated:

m = 2 times

i = 2 times

l = 2 times

n = 2 times

2. The number of different ways that the letters of millennium can be arranged is:

We will use the n! or factorial formula, this way:

10!/2! * 2! * 2! * 2!

(10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(2 * 1) * (2 * 1) * (2 * 1) * (2 *1)

3'628,800/2*2*2*2 = 3'628,800/16 = 226,800

<u>The correct answer is that the number of different ways that the letters of the word "millennium" can be arranged is 226,800</u>

7 0

3 years ago

Solve the proportional<br> equation below:<br> x/4 = x-6/3

aleksandrvk [35]

<h2><u>PROPORTIONAL EQUATION</u></h2><h3>Exercise</h3>

Apply the means-extremes property of proportions: this allows you to cross multiply:

$\boxed{\mathsf{\dfrac{x}{4} = \dfrac{x - 6}{3}}}$

$\mathsf{\dfrac{x}{4} \searrow \dfrac{x - 6}{3}}$ ‏‏‎ ‏‏‎‎ $\mathsf{\dfrac{x}{4} \nearrow \dfrac{x-6}{3}}$ ‏‏‎‎

$\boxed{\mathsf{3x = 4(x - 6)}}$

Apply the distributive property:

$\mathsf{3x = 4(x-6)}$

$\mathsf{3x = 4(x) - 4(6)}$

$\mathsf{3x = 4x - 24}$

Add 24 to both sides:

$\mathsf{3x + 24 = 4x - 24 + 24}$

$\mathsf{3x + 24 = 4x}$

Substract 3x to both sides

$\mathsf{3x - 3x + 24 = 4x - 3x}$

$\mathsf{24 = 4x - 3x}$

$\large{\boxed{\mathsf{24 = x}}}$

‎ ‏‏‎

<h3><u>Answer</u>. The value of x = 24.</h3>

‎ ‏‏‎

8 0

3 years ago

The sum of the measures of the interior angles of a triangle is 180Â°. The sum of the measures of the interior angles of a quadr

omeli [17]

Answer: 1080 degrees

Step-by-step explanation:

Since the general formular is

(n - 2 )180 = interior angle.

Where n is the number of sides the polygon has.

Octagon has 8 sides so therefore n= 8.

(8-2 ) * 180

= 6 * 180

=1080.

The total number of the interior angles measured is 1080 degrees.

6 0

3 years ago

Cyril has six more than twice as many mangoes as Kubie and half as many mangoes as Maxine. If Kubie has six mangoes, then, in te

sveticcg [70]

Answer:

(7x + 18) or 60 Mangoes

Step-by-step explanation:

Let the no. of mangoes Kubie possesses be x

So,

Cyril has mangoes = 2x + 6 ...(i)

So,

Maxine has = 2 * (2x + 6)

= 4x + 12

Given that,

Kubie has mangoes = 6

∵ The combined mangoes they have in terms of x,

= Cyril + Kubie + Maxine

= (2x + 6) + x + (4x + 12)

= 7x + 18

A.T.Q.

Cyril has = 2x + 6

∵ Cyril has mangoes = 2 * (6) + 6

= 18 mangoes

∵ Maxine has = 2 * Cyril's mangoes

= 2 * 18

= 36

Thus,

Total mangoes = Cyril + Kubie + Maxine

= 18 + 6 + 36

= 60 Mangoes

5 0

3 years ago

What is the perimeter in centimeters of triangle ABC? 12 cm 14 cm 21.5 cm 35