Ben has Type 180 word in can type 30 words per minute. Millie has Type 60 words and can type 50 word per minute. How many minutes will it take Millie to catch up with Ben?

[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 know that

if two lines are perpendicular

then

the product of their slopes is equal to minus one

so

[tex]m1*m2=-1\\m2=-1/m1[/tex]

in this problem the slope of the given line is

[tex]m1=-0.3=-\frac{3}{10}[/tex]

the value of m2 is

[tex]m2=-1/(-3/10)=\frac{10}{3}[/tex]

with the point [tex](3,-8)[/tex] and the slope m2 find the equation of the line

the equation of the line in the form point-slope is

[tex]y-y1=m*(x-x1)[/tex]

substitute the values

[tex]y+8=\frac{10}{3}*(x-3)[/tex]

[tex]y=\frac{10}{3}x-10-8[/tex]

[tex]y=\frac{10}{3}x-18[/tex]

therefore

the answer is

[tex]y=\frac{10}{3}x-18[/tex]

The curve has an equation containing the variables. The rate of change of any independent variable concerning the dependent variable is entitled as the slope of the tangent to the curve. Thus, the line does not describe the slope.

Slope can be defined as the ratio of the change in the value of the dependent variable to the change in the value of an independent variable.

Let us consider the equation of a line that is y=mx+c.

Here, m is the slope of the line and the value of m is y/x.

Following are the points that may describe the slope.

A line can never be a slope because the slope is always a numeric value and a line can always be an equation that contains variables.

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The problem statement is about the estimation of error in computation, here we will be presented with two values, the actual and the estimated value.

The present error in Irene’s measurement is 11.1%

Given data

Actual value = 40 inch

Estimate value = 45 inch

The formula for calculating the percent error is given as

Percent error = (Actual - Estimated/Estimated) *100

Percent error = (40 - 45/45) *100

Percent error = (-5/45) *100

Percent error = (-0.111) *100

Percent error = 11.1 %

Hence the percent error is 11.1%

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Final answer:

The cost of one pound of sausage is $5.69 per pound.

Explanation:

To solve the problem of finding the cost of one pound of sausage when 9 pounds cost $51.21, we use the concept of unit price. The unit price is the cost for one unit of an item when given the total cost for multiple units.

To find the unit price of the sausage, you divide the total cost by the number of pounds.

This gives you the cost per one pound of sausage, which is what we are looking for.

Here is the step by step calculation:

Therefore, one pound of the special sausage costs $5.69.

Answer:

21.5

Step-by-step explanation:

i took the quiz and had gotten it right

Learn how to calculate the monthly payment for a car loan based on the principal amount, interest rate, and loan term.

Monthly payment calculation:

To find this person's net worth, you will add the assets together to get a total value of what they are worth. Then you will need to subtract the amount of liability (amount owed).

( $487,500 + $265000) - $445500

$307000

This person's net worth is $307000.

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 :)

Answer:

The answer is C 0.4

Step-by-step explanation:

Answer:

b,c,e,f just did it trust me

Step-by-step explanation:

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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To make 13/4 to 4 you must have to add 3/4 in the given equation.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the information given in the question,

Let the number is x.

So,

13/4 - x = 4

x = 13/4 - 4

x = (13 - 16)/4

x = -3/4

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