How is adding two negative fractions similar to adding two negative integers?

Answer:

m=-8

Step-by-step explanation:

im assuming the equation is: [tex]\frac{9}{8} m-\frac{1}{6} m=-4-\frac{11}{3}[/tex]

find common denominators i choose 24

9/8 = 27/24

1/6 = 4/24

11/3 = 88/24

4 = 96/24

now start solving:

(Note that because denominators are the same you can just ignore them and focus on the numerator)

simplify (27/24)m - (4/24)m to (23/24)m

simplify -(96/24) - (88/24) to -184/24

now you are left with 23/24 m = -184/24

get rid of denominators 23m=-184

Divide -184 by 23 to get m= -8

Answer:

3 numbers

Step-by-step explanation:

Answer:

infinite rational numbers

Step-by-step explanation:

There are infinite rational numbers between 0 and 4. Now,single decimal value change like 2.34 and 2.35 can change the total value of a rational number. And there are infinite combinations of this decimal value between just two numbers.

Answer:

B) (2/3, 3 2/3)

Step-by-step explanation:

I think whoever write this problem thought the distance from A to C was 10.  It’s not.  It’s 10.77. (See below). But following what they did, the answer must be B) (2/3, 3 2/3)

First, find the distance from A to C.

4²+10²=c²

16+100=c²

116=c²

c=√116

10=10.77

The coordinates of point B on AC such that the ratio of AB to AC is 1:3 is (2/3, 3 2/3) option (B) is correct.

A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.

It is given that:

The line segment shown in the picture is in the ratio of AB to AC is 1:3

AB : AC = 1 : 3

m : n = 1 : 3

The coordinate of point A is (2, 7)

The coordinate of point C is (-2, -3)

Let the coordinate of the point B is (x, y)

m = 1

n = 2

x1 = 2

x2 = -2

y1 = 7

y2 = -3

x = (-2+4)/3

x = 2/3

y = (-3+14)/3

y =11/3

y = 3 2/3

B = (x, y) = (2/3, 3 2/3)

Thus, the coordinates of point B on AC such that the ratio of AB to AC is 1:3 is (2/3, 3 2/3) option (B) is correct.

The options are:

A. (1/3, 2 5/6)

B. (2/3, 3 2/3)

C. (-2/3, 1 1/6)

D. (-2/3, 1/3)

Learn more about the segment bisector here:

brainly.com/question/4137998

#SPJ2

Answer:

B= Bill's money

T= Ted's money

B+T=32

T+6=B

Step-by-step explanation:

If you rearrange the first equation you get:

B=32-T

You can then substitute the B in that equation with T+6:

T+6=32-T

combine like terms to get T:

2T+6=32

2T=26

T=13

Then plug in 13 for T in either of the first equations to get B:

13+6=B

19=B

Answer:

Bill has 19$

Step-by-step explanation:

Bill = b

Ted = t

b = t + 6$

b - t = 6$------equation 1

b + t = 32$------equation 2

(equation 1 - equation 2)

(b - b) + (-t - t) = 6 - 32

0 - 2t = -26

-2t = -26

t = -26/-2

t = -26/-2

t= 13$

(put t = 13$ in equation 1)

b - (13) = 6

b - 13 = 6

b = 6 + 13

b = 19$ (Bill = 19$)

Answer:

GHK and H

Step-by-step explanation:

Answer: 12,300

Step-by-step explanation: So you first locate the hinders a place. Then you look at the numbers behind it. If it is less than under 49 then you keep it at the hundred unit that it is at. In this case 300. That’s how you get it! Sorry I’m bad at explaining.

Answer:

2x + 8y + 2z

Step-by-step explanation:

Answer:

Just use the 2 to multiply the numbers in the bracket.

which is

2x+8y+2z.

Answer:

r = 15

Step-by-step explanation:

Line segments DG and GM add up to DM:

r + 3 + 4r - 28 = 50

5r - 25 = 50

5r = 75

r = 15

Answer:

15

Step-by-step explanation:

Given:

Solution:

Answer:

Step-by-step explanation:

Given the coordinates F(b+1, a+2, M(3,5) and G(2a, 3b+3), if M is the midpoint of F and G then, to get the value of a and b we will use the formula for calculating the midpoint a shown;

M(X, Y) = (x₁+x₂/2, y₁+y₂/2)

X = x₁+x₂/2 and  Y = y₁+y₂/2

From the given coordinates x₁ = b+1, y₁ = a+2, x₂ = 2a, y₂ = 3b+3, X = 3 and Y = 5

Substituting the given parameters into the formula, we can get the value of a and b as shown;

3 = b+1+2a/2

6 = 2a+b+1

2a+b = 5 ............... 1

Similarly, for the Y coordinate;

5 = a+2+3b+3/2

10 =  a+2+3b+3

a+3b = 10-2-3

a+3b = 5 ........ 2

Solving equation 1 and 2 simulatneously using elimination method

2a+b = 5 ............... 1 * 1

a+3b = 5 ........ 2 * 2

---------------------------------------------------------

2a+b = 5 ...........3

2a +6b = 10.......... 4

subtract 3 from 4

b - 6b = 5-10

-5b = -5

b = -5/-5

b = 1

substitute b =1 into equation 2 to get a;

a + 3b = 5

a + 3(1) = 5

a = 5-3

a = 2

From the calculation above it is seen that the value of variable a can be determined and it is equivalent to 2

Answer:

To determine the value of​ a, set up and solve a system of equations in two variables. The value of a is 2

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the perpendicular line we must first find the slope of the original line

From the question the original line is

2x - 3y = 3

Write the equation in the general form above

That's

3y = 2x - 3

y = 2/3x - 1

Comparing with the general equation above

Slope = 2/3

Since the lines are perpendicular to each other the slope of the perpendicular line is the negative inverse of the original line

Slope of perpendicular line = - 3/2

So the Equation of the line using point

( 1 , 2) and slope - 3/2 is

[tex]y -2 = - \frac{3}{2} ( x - 1) \\ 2y - 4 = - 3(x - 1) \\ 2y - 4 = - 3x + 3 \\ 3x + 2y - 4 - 3 = 0[/tex]

We have the final answer as

[tex]3x + 2y = 7[/tex]

Hope this helps you

Answer:

i think it might be D

Answer:

x=36

only 1 solution

Answer:

42 degrees

Step-by-step explanation:

Use a number line.

-13 - 13 = 0.

Now, we are at the base, 0. Then, add 29.

13 + 29 + 42.

The answer is 42. Hope it helps!

Answer:

45

Step-by-step explanation:

Answer:

Your answer would be 7.

Step-by-step explanation:

Hope I helped!!!

Answer:

translate 3 units up

Answer:

46 degree

Step-by-step explanation:

180-134=46

=>46 degrees

Answer:

B: 7.8m

Step-by-step explanation:

7.8m is 21cm more than 7.59m so it is close.

8.3 meters would be a bit too long for his lead.

Answer:

40%

Step-by-step explanation:

[tex]\frac{8}{20} X 100%[/tex][tex]=40%[/tex]%

Answer:

0.2x+1???

Step-by-step explanation:

2x/3x+1=-3

-3=2x/3x+1

-3 x 3x + 1

-9x + 1

2x/-9x+1

0.2x+1

Answer:

The stickers are divided by groups of

2/10, 3/10 and 5/10

2/10 * 70 = 14

3/10 * 70 = 21

5/10 * 70 = 35

14 + 21 + 35 = 70

So, the stickers are allotted to the 3 children in a group of

14 to one child, 21 to another child, and 35 to the third child.

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

i think it would be -7

Answer:

[tex]\displaystyle \lim_{x \to 3^-} f(x) = -1[/tex]

General Formulas and Concepts:

Calculus

Limits

Graphical Limits

Step-by-step explanation:

As we approach 3 from the left according to the graph (follow the left graphed line), we see that we approach -1.

∴  [tex]\displaystyle \lim_{x \to 3^-} f(x) = -1[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Answer:

(0,0) and (7,10)

Step-by-step explanation:

recall that the slope - intercept  form of a linear equation can be given as

y = mx + b

where m = slope and b = y intercept

in our case, we are given that slope, m = 10/7, hence our equation becomes

y = (10/7) x + b

since we are not given any information about the y-intercept, we can simply pick a value for b that is most convenient for us.

We pick b = 0, hence the equation simplifies to:

y = (10/7) x  ----- eq 1

we can see immediately that if x = 0, y must also = 0

proof if x = 0:

y = (10/7)(0) =0

since 0 is an integer, then (0,0) must be the first point.

we can also observe that for y to be an integer, we must get rid of the denominator 7. We can do this by multiply the right side by 7. Hence we let x = 7:

y = (10/7) x 7

y = 10

hence (7,10) is the second point.

Answer:0.75 just divide us top number by bottom ez

Step-by-step explanation:

Answer:

You cant solve this question without knowing how many rows there are, and also without knowing how many seats there are per row.

Answer:

72 and 90 gcf

Step-by-step explanation:

Answer:

There are 6227020800  possible rankings

Step-by-step explanation:

Given

[tex]Athletes= 13[/tex]

Required

Number of Rankings

Let the number of athletes be n;

Since each athlete can only take one position at any given instance, the number of rankings is [tex]n![/tex]

Where [tex]n = 13[/tex]

Substitute 13 for n

[tex]13! = 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 *3 * 2 *1[/tex]

[tex]13! = 6227020800[/tex]

Hence, there are 6227020800  possible rankings