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Advocard [28]
3 years ago
14

Which decimal is equivalent to 10/3

Mathematics
1 answer:
Aneli [31]3 years ago
6 0
3.3333333 repeating
Take 10 and divide it by 3
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Write an equation in slope - intercept form for the line that satisfies each set of conditions
ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(1)

Rearrange 3x + 2y = 1 into this form by subtracting 3x from both sides

2y = - 3x + 1 ( divide all terms by 2 )

y = - \frac{3}{2} x + \frac{1}{2} ← in slope- intercept form

with slope m = - \frac{3}{2}

Parallel lines have equal slopes, thus

y = - \frac{3}{2} x + c ← is the partial equation

To find c substitute (- 6, 15) into the partial equation

15 = 9 + c ⇒ c = 15 - 9 = 6

y = - \frac{3}{2} x + 6 ← equation of line

(2)

Rearrange x + 2y = 8 into slope- intercept form by subtracting x from both sides

2y = - x + 8 ( divide all terms by 2 )

y = - \frac{1}{2} x + 4 ← in slope- intercept form

with slope m = - \frac{1}{2}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{2} } = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, - 2) into the partial equation

- 2 = 10 + c ⇒ c = - 2 - 10 = - 12

y = 2x - 12 ← equation of line

3 0
3 years ago
Read 2 more answers
A loan worth $1000 collects simple interest each year for 6 years. At the end of that time, a total of $1270 is paid back. Deter
Korolek [52]

Answer:

The percentage rate is 4.5%

Step-by-step explanation:

The simple interest earned in this situation is $1270 - $1000, or $270.

the simple interest formula is i =prt.

Here, i = $270 = ($1000)(r)(6 yr).

                $270

Then r = ------------------- = 0.045

                $1000(6 yr)

The percentage rate is 4.5%

5 0
3 years ago
After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.
snow_lady [41]

Answer:

The average rate of speed is 61!

Step-by-step explanation:

183 miles divided by 3 hours of driving is 61 average rate of speed. :)

6 0
3 years ago
Read 2 more answers
I really don't understand help
Zielflug [23.3K]

Answer:

128 ft sq.

Step-by-step explanation:

The way you find the area of a square is by multiplying one side by another, and since it is a square, the sides are the same. This means that if we have a square with a side length of x, the way to find the area of that square is to multiply x by x, which can be written as x^2. Now, since we're doubling this, we can say that double Mary's garden is 2 * x^2. If we substitute 8 in for x, we have to multiply 8^2 by 2 or 8 by 8 by 2 to find our answer. 8 times 8 is 64 and 64 times 2 is 128.

5 0
2 years ago
Is the equation linear or quadratic?<br> t(x)=x+5<br> O A. linear<br> O B. quadratic
olasank [31]

Answer:

A. Linear

Step-by-step explanation:

The equation (t(x)=x+5) is a linear equation. As per its definition, a linear equation is an equation where all terms are to the first degree, meaning that none of the terms have an exponent. The equation, (t(x)=x+5) falls under this category, as none of its terms has an exponent, therefore, the equation is a linear equation.

4 0
2 years ago
Read 2 more answers
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