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3 years ago

Give four rational numbers betwee1by2 and 6 by 7

Mathematics

2 answers:

Alex_Xolod [135]3 years ago

8 0

Step-by-step explanation:

we we have to find four rational number between 1/2 and 6/7.

So, firstly we find LCM ...for make same numerator

= 1×7/2×7 and 6×2/7×2

=7/14 and 12/14

Now,

We can check that.....8/14,9/14,10/14and 11/14 are four rational numbers between 1/2 and 6/7 .

MA_775_DIABLO [31]3 years ago

5 0

Answer:

Therefore four rational numbers between 1 and 2 are 9/8, 5/4, 3/2, and 7/4 Step-by-step explanation:

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Misaki cut some wood for a bookcase she is building.She needs to find how many 1

den301095 [7]

Answer:

3ft + 2ft?

Step-by-step explanation:

sorry i would take this with a bucket of salt its prob not c0rr3t

6 0

2 years ago

Which of the following is an equation of the line that passes through the point (−2, 3) and is perpendicular to the graph of the

Ludmilka [50]

The equation of the line is $y=-\frac{1}{3}+\frac{7}{3}$

Explanation:

The given equation is $y=3 x-2$

<u>Slope:</u>

Since, the equation of the line is perpendicular to the equation $y=3 x-2$ , then, the slope is given by

$m=-\frac{1}{3}$

Hence, the slope is $m=-\frac{1}{3}$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting the point (-2,3) and the slope $m=-\frac{1}{3}$ , in the above formula, we get,

$y-3=-\frac{1}{3}(x+2)$

Simplifying, we get,

$y-3=-\frac{1}{3}x-\frac{2}{3}$

$y=-\frac{1}{3}x-\frac{2}{3}+3$

$y=-\frac{1}{3}+\frac{7}{3}$

Therefore, the equation of the line is $y=-\frac{1}{3}+\frac{7}{3}$

8 0

3 years ago

Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.

Oduvanchick [21]

Answer:

a=0

Step-by-step explanation:

x²-2x+y²-4y-4=0

(x²-2x+1)+(y²-4y+4)-9=0

(x-1)² + (y-2)² = 3²

Center: (1,2) radius: 3

(1,2) on line 2x-y+a=0

2*1 - 2 + a = 0

a = 0

3 0

2 years ago

ASAP MATH HELP WITH THIS QUESTIONS

liq [111]

Answer:

y = - x + 3

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 )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (4, - 1)

m = $\frac{-1-5}{4+2}$ = $\frac{-6}{6}$ = - 1, thus

y = - x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, - 1 ), then

- 1 = - 4 + c ⇒ c = - 1 + 4 = 3

y = - x + 3 ← equation of line

4 0

2 years ago

John J. Parker worked 44 hours this week. He gets time-and-a-half for any hours beyond 40.

Pepsi [2]

Answer:

He worked 40 regular hours.

He 4 hours beyond 40.

He worked 40 + 4(1.5) = 40 + 6 = 46 adjusted hours

Step-by-step explanation:

John worked 44 hours and a regular work week is 40 hours. This means John worked 40 regular hours plus 4 hours over time. He receives time and a half or 1.5 for each hour over 40.

So 40 + 4(1.5) = 40+6=46 adjusted hours.

5 0

3 years ago