What are three rational numbers between 0.2 and 0.3 (one must be a fraction)?

[tex]\boxed{x=3\sqrt{3}}[/tex]

A right triangle is the one that has a 90° degree side. The hypotenuse is the largest side while the legs are the other two sides. The sketch for this problem is shown in the Figure below. To compute the other side, that is x, we must use the Pythagorean Theorem as follows:

[tex]H=\sqrt{Leg_{1}^2+Leg_{2}^2} \\ \\ \therefore H^2=Leg_{1}^2+Leg_{2}^2 \\ \\ Leg_{2}=\sqrt{H^2-Leg_{1}^2} \\ \\ x=\sqrt{14^2-13^2} \\ \\ \therefore \boxed{x=3\sqrt{3}}[/tex]

We have to find the sum of (7x-6y) and (x+y)

(7x-6y) and (x+y) are two Algebraic expressions

Sum of two algebraic expressions is also a algebraic expression

So, (7x - 6y) + (x+y) = 7x - 6y + x + y

= 7x + x + y - 6y

= x (7 + 1) + y - 6y

= 8x + y - 6y

= 8x + y ( 1 - 6 )

= 8x + y ( -5 )

= 8x - 5y

Hope this helps..!!

Thank you :)

In mathematics, the principle of rounding instructs us to look at the decimal part . If it's .5 or higher, we round up; if it's less than .5, we round down. Hence, 312.501 rounded to the nearest whole number is 313.

The question pertains to the concept of rounding numbers. In mathematics, rounding means replacing a number with an approximate value that has a shorter, simpler, or more explicit representation. To round 312.501 to the nearest whole number, we look at the decimal part of the number. If the decimal is .5 or greater, we round up; if it's less than .5, we round down. In this case, the decimal part is .501, so we round up to the next whole number.

So, 312.501 rounded to the nearest whole number is D. 313.

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The answer for this problem is 2/3

The hours of jazz are on Ivan's MP3 player, if Ivan has 4 hours of Music on his MP3 player is 2/3 or 0.7 hours.

Only verbal descriptions of a portion of the whole were used to write fractions in ancient Rome. The numerator and denominator of fractions are first written in India with one number above the other but without a line. The line used to divide the numerator and the denominator were only added by Arabs.

Given:

Ivan has 4 hours of Music on his MP3 player,

jazz makes up 1/6 of the total time,

Calculate the hours of jazz on Ivan's MP3 player as shown below,

The hours of jazz are on Ivan's MP3 player = 1 / 6 of the total time

The hours of jazz are on Ivan's MP3 player =  1 / 6 × 4 hours

The hours of jazz are on Ivan's MP3 player = 4 / 6

The hours of jazz are on Ivan's MP3 player = 2 / 3

Thus, the time of jazz is 2 / 3 or 0.7 hours.

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Final answer:

The westernmost capital of the southeast is Little Rock, Arkansas.

Explanation:

The westernmost capital of the southeast is Little Rock, Arkansas. Little Rock is the capital city of the state of Arkansas, which is located in the southeastern region of the United States.

Arkansas is considered part of the southeast region due to its geographic location and cultural similarities to other states in the region. Little Rock is located on the westernmost edge of the state, making it the westernmost capital city among the states of the southeast.

Other capitals in the southeast include Atlanta, Georgia; Columbia, South Carolina; Tallahassee, Florida; and Nashville, Tennessee.

Answer:

The outlier is:

(8,35)

Step-by-step explanation:

We know that outlier of a data is the data point that stands out as compared to rest of the data point i.e. it either takes a too high or too low value as compared to other data points.

Clearly from the table given in the ques we see that the data points attains a value in the interval 60-75.

Hence, the data point that is an outlier is:

(8,35)

since 35 is a too low value as compared to others.

Answer:

21.5

Step-by-step explanation:

i took the quiz and had gotten it right

Answer:

If two secant segments intersect outside a circle, then the product of one secant segment with its external portion equals the product of the other secant segment with its external portion. So we have:

10(10) = 5(3x + 5)

100 = 15x + 25

15x = 75

x = 5

Answer:

Step-by-step explanation:

I did (1/2 divided by 12) and then I got 6 so I times it with 12.5 and got 75 then I times it by 7 to get 525

Answer:

Solution given:

Over here

x°+90°+61°=180° being a linear pair is used

Answer:

325/100 = 13/4 or 31/4

Step-by-step explanation:

25 is a common factor of both 325 and 100, so divide numerator and denominator by 25 and you get 13/4, which can be written as 3 and 1/4 or 3.25 in decimal

This is because it said simplest form.