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rosijanka [135]
3 years ago
13

The quotient of a number and 6decreased by 10 is equal to 2??

Mathematics
1 answer:
Bas_tet [7]3 years ago
7 0
The number equals -48
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Write the following in point-slope form using the given information: Slope: 2 points
SCORPION-xisa [38]

Answer:

y+5 = \frac{1}{15}(x - 3)}

Step-by-step explanation:

Given

m = \frac{1}{15} -- Slope

(x_1,y_1) = (3,-5) --- Point

Required

Write an equation in point slope form

The point slope form of an equation is:

y - y_1 = m(x - x_1)

Substitute values for y1, x1 and m

y-(-5) = \frac{1}{15}(x - 3)}

y+5 = \frac{1}{15}(x - 3)}

Hence, the equation in point slope form is:

y+5 = \frac{1}{15}(x - 3)}

8 0
3 years ago
Jacob decided to ride his bicycle across the country during his 2-month summer vacation. the route he took from washington, dc t
Artist 52 [7]

Step 1: Assign variable for the unknown that we need to find.

Let ' x ' be the number of miles traveled by Jacob so far (His distance from starting point)

Step 2: Use the sentence given to set up an equation

Sentence 1: "His distance from his starting point was exactly 100 miles more than three times the distance remaining until the finishing point"

Total distance is 2800 miles, if his distance from the starting point is 'x', then remaining distance can be represented by 2800 - x.

Using the sentence we can write the below equation...

x = 100 + 3(2800 - x)

Distributing 3 in the right side of the equation, we get...

x = 100 + 8400 - 3x

Adding 3x on both sides of the equation, we get...

x+3x = 8500

Combine like terms in the left side of the equation, we get...

4x=8500

Dividing 4 on both sides of the equation, we get...

\frac{4x}{4} =\frac{8500}{4}

Simplifying the fraction on either side of the equation, we get...

x=2125miles

Conclusion:

Out of the 2800 miles, Jacob travelled a distance of 2125 miles and remaining miles that he need to cover will be <u>675 miles</u>.

3 0
3 years ago
It is found that 5 out of every 8 college students like algebra. If a certain college has 4,000 students, how many of them like
solniwko [45]
5 out of 8 turned into a fraction is 5/8. 5/8 turned into a percentage is 62.5%. 62.5% of 4,000 is 2,500. 2,500 students in the college like algebra.
Hope this helped.
3 0
4 years ago
Read 2 more answers
#3 AB and AD are tangent to the circle centered at point C. Find the value of x. *
dezoksy [38]

Answer:

x=4

Step-by-step explanation:

tangent lines from the same point to a circle are congruent in length, so we can say that

5x+8 = 8x-4

5x -5x +8 = 8x - 5x -4

8 = 3x - 4

8+4 = 3x -4 + 4

3x = 12

3x/3 = 12/3

x=4

8 0
3 years ago
What is the value of the expression? 56−(18÷34) as a fraction in simplest form
marta [7]
The value of the expression in simplest form is: 55 8/17.

Hope this helps! :D

~PutarPotato
7 0
4 years ago
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