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2 years ago

Use substitution to solvey=2x+1 y=x-5

Mathematics

1 answer:

nirvana33 [79]2 years ago

7 0

2x+1 = x-5
-x -x
X+1 = -5
-1 -1

X = -6

2(-6) +1= y
-12+1= y

-11 = y

-11 = -12+1
-11 = -6-5

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Wendy's mother recorded how many donuts she has eaten over the past few months. Jelly-filled donuts 6 maple donuts 53 glazed don

coldgirl [10]

Answer:

$P(\text{Powdered sugar donut})=\dfrac{1}{15}$ .

Step-by-step explanation:

It is given that Wendy's mother recorded how many donuts she has eaten over the past few months.

Jelly-filled donuts = 6

Maple donuts = 53

Glazed donuts = 11

Powdered sugar donuts = 5

Now,

Total number of donuts = 6 + 53 + 11 + 5 = 75

We need to find the experimental probability that the next donut Wendy eats will be a powdered sugar donut.

$P(\text{Powdered sugar donut})=\dfrac{\text{Powdered sugar donuts}}{\text{Total number of donuts}}$

$P(\text{Powdered sugar donut})=\dfrac{5}{75}$

$P(\text{Powdered sugar donut})=\dfrac{1}{15}$

Therefore, $P(\text{Powdered sugar donut})=\dfrac{1}{15}$ .

3 0

3 years ago

What decimal represents 6×1,000+2×10+3×1/10+5×1/1,000

Contact [7]

6 × 1,000 = 6,000

2 × 10 = 20

3 × 1/10 = 3/10 = 0.3

5 × 1/1,000 = 5/1,000 = 0.005

6 × 1,000 + 2 × 10 + 3 × 1/10 + 5 × 1/1,000 = 6,020.305

4 0

3 years ago

The chorus teacher plans to arrange the students in equal rows. Only the girls or boys will be in each row. What is the greatest

emmainna [20.7K]

Answer:

Step-by-step explanation:

68+48=116

116÷16=7.24 (wrong)

116÷12=9.7 (wrong)

116÷4=29 (lowest even)

116÷2=58 (highest even)

If I'm wrong, let me know

8 0

2 years ago

Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

2 years ago

in 2001, the population in a town was 12% more than it was in 2000. if the population was 25,160 in 2002, which is 10% more than

blagie [28]

2002=25,160
2001=22,644
2000=19,926.72 (need to round to 19,926)
2001:
25,160/10=2516
25,160-2516

2000:
22,644/10=2,264.4 (10%)
2,264.4/5=452.88 (2%)
2,264.4+452.88=2717.28 (12%)
22,644-2717.28=19.926.72

3 0

2 years ago