2 angles whose non shared sides are opposite rays are defined as

Answer:

(a-z)/z = m

Step-by-step explanation:

a = zm+z

Subtract z from each side

a-z = mz+z-z

a-z = mz

Divide by z

(a-z) /z = mz/z

(a-z)/z = m

Answer:

24

Step-by-step explanation:

8%=8/100

& 8/100 of 60=4.8  ( "of" in mathematic means "multiply")

check if you get 4.8 by multiplying each of the given options by  1/5

1/5 0f 24=4.8

So 24 will be the ans

Answer:

x=0

Step-by-step explanation:

Anything to the power of 0 is 1

Answer:

x=0

Step-by-step explanation:

take the logarithm of both sides of the equation to remove the variable from the exponent.

Answer:

(0,-2), (1/3,-2)

Step-by-step explanation:

Answer:

5535383.47 units

Step-by-step explanation:

Given that,

The national dept of a country = 298,800,000​,000,000

Population of the country = 53,980​,000

We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.

[tex]d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}[/tex]

Hence, the debt per person is 5535383.47 units.

Answer:

C.(2,1,0)

Step-by-step explanation:

on edg

The solution to the following system is [tex](2,1,0)[/tex].

Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.

We have,

[tex]3x+3y+6z=9[/tex]    [tex](i)[/tex]

[tex]x+3y+2z=5[/tex]    [tex](ii)[/tex]

[tex]3x+12y+12z=18[/tex]  [tex](iii)[/tex]

To find the solution to the above give algebraic equations,

We have to find values of [tex]x,y,z[/tex].

So,

We will be putting [tex]z=0[/tex] in equation [tex](i)[/tex],

[tex]3x+3y+6(0)=9[/tex]

[tex]3x+3y=9[/tex]    [tex](iv)[/tex]

Now,

We will be putting [tex]z=0[/tex] in equation [tex](ii)[/tex],

[tex]x+3y+2(0)=5[/tex]

[tex]x+3y=5[/tex]  

[tex]x=5-3y[/tex]    [tex](v)[/tex]

Using equation [tex](iv)[/tex] & [tex](v)[/tex],

We get,

[tex]3(5-3y) +3y=9[/tex]

[tex]15-9y+3y=9[/tex]

[tex]-6y=-6[/tex]

[tex]y=1[/tex],

Now we have value of  [tex]y=1[/tex], putting this value in equation  [tex](v)[/tex],

[tex]x=5-3(1)[/tex]

[tex]x=2[/tex],

Hence, we can say that option [tex](2,1,0)[/tex] is the correct answer.

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Answer:

16 months for it to grow 8 inches

Answer:

16

Step-by-step explanation:

growth in 1 month = 1/2 inches

growth in x months = x*1/2 inches

total growth = 8 inches

thus,

8 = x*1/2

x = 8 / (1/2)

  = 16

Answer:

D

Step-by-step explanation:

10(40)= 400

6(400)= 2,400

6(14)= 84

Therefore they are not equal.

Answer:

A

Step-by-step explanation:

If the variable quantities are the same, but the constants are different, then that equation has no solutions.

Answer:

The original number is 572.

Step-by-step explanation:

Let the 3 digit number by xyz.

Where x is the hundreds digit, y is the tens digit and z is the units digit.

Hence, the digit is (100x + 10y + z).

From the question, the tens digit equals to the sum of the hundreds digit and the units digit.

That is,

y = x + z ...... (1)

Also, from the question, the hundreds digit of this number is 3 more than the units digit.

That is,

x = z + 3 ...... (2)

Also, from the question, If the digits were reserved, the new number is 11 less than half of the original number

If the digit were reversed, that is xyz becomes zyx. Then, the new number is (100z + 10y + x).

the new number is 11 less than half of the original number

That is,

(100z + 10y + x) + 11 = 1/2(100x + 10y + z)

This becomes

200z + 20y + 2x + 22 = 100x + 10y + z

200z - z +20y -10y +2x - 100x = -22

199z + 10y -98x = -22 ...... (3)

Solving the equations simultaneously,

Put the value of x in equation (2) into equation (1)

x = z + 3 ...... (2)

y = x + z ...... (1)

That is,

y = (z+3) + z

y = 2z + 3 ...... (4)

Put the value of y in equation (4) into equation (3)

199z + 10y -98x = -22

199z + 10(2z +3) -98x = -22

199z + 20z + 30 -98x = -22

219z -98x = -22-30

219z -98x = -52 ...... (6)

Put the value of x in equation (2) into equation (6)

219z -98(z+3) = -52

219z -98z -294 = -52

121z = -52 + 294

121z= 242

z = 242/121

∴ z = 2

Put the value of z into equation (2)

x = z + 3

x = 2 + 3

∴ x = 5

Put the values of z and x into equation (1)

y = x + z

y = 5 + 2

∴ y = 7

Hence, x = 5, y = 7 and z = 2.

Recall that the original number is 100x + 10y + z.

100x + 10y + z = 100(5) + 10(7) +2 = 500 + 70 + 2 = 572

Hence, the original number is 572.

Answer:

4 1/8 square feet

Step-by-step explanation:

Area= l*b assuming that it's a rectangle or a square

2 3/4* 1 1/2= to do this we need to convert these mixed fractions to improper fractions (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator. Then write the result on top of the denominator.)

so, 2 3/4 converted will be- 11/4

& 1 1/2 converted will be- 3/2

11/4*3/2=33/8

Now we need to convert this into a mixed fraction again, coz the question was given in that form. (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator Then write the result on top of the denominator.)- so,

The ans would be 4 1/8 sqft

Answer:

2. 2/1 is the ratio of seltzer to juice.  It means that there is twice as much seltzer as there is juice.

3. (2,4) represents the amount of seltzer and juice.  At this point there are 4 cups of seltzer, and two cups of juice.

4. (1,2) can be used to find the constant of proportionality and slope.

5. y=2x

6. y=2*15

y=30

Step-by-step explanation:

If you need explanations for any of these let me know, and I'll add them.

slope of line perpendicular to the line y=-1/4x-1 is 4.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us write the given equation  y=-1/4x-1

If we compare the given equation with slope intercept form

We get to know slope of line m is -1/4.

It two lines are perpendicular then the product of their slopes will be -1

-1/4×m=-1

m=4

Hence slope of line perpendicular to the line y=-1/4x-1 is 4.

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Answer:

$39.77

Step-by-step explanation:

she made 1300 biscuits

Answer:

[tex] \boxed{ \underline{ \underline { \bold{ \tt{4(x + 1) \: and \: 4x + 4}}}}}[/tex]

☯[tex] \underline{ \underline{ \text{Question}}} : [/tex]

☥ Which pair of expressions represents the area of the rectangle?

☐ 2(x + 1) + 2 (4) and 2x +9

☐ 2(x + 1) +2 (4) and 2x + 10

☐ 4(x + 1) and 4x + 1

☑ 4(x + 1) and 4x + 4

☪ [tex] \underline{ \text{Given :}}[/tex]

☪ [tex] \underline{ \text{To \: Find} : }[/tex]

☪ [tex] \underline{ \text{Solution}} : [/tex]

❀ [tex] \underline{ \boxed{ \sf{Area \: of \: a \: rectangle = length \times breadth}}}[/tex]

↦ [tex] \sf{4 \times (x + 1)}[/tex]

↦ [tex] \boxed{ \sf{4(x + 1)}}[/tex]

Also , In 4 ( x + 1 ) , if we distribute 4 through the parentheses , it would be 4*x + 4*1 = [tex] \boxed{ \sf{4x + 4}}[/tex].

Hence , the right answer is of last option { i.e  4 ( x + 1 ) and 4x + 4 } .

And we're done !

Hope I helped!!

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Answer:  I can give coordinates (0,400) (1,350) (2,300) (3,250) (4,200) (5,150) (6,100) (7,50) (8,0)

Step-by-step explanation:

Deema starts at 400 which is y-intercept and goes down on a slope of -50 cause we are decreasing 50 mi for every hour she drives.

Hope this helped :) !!!!!!!

The coordinates of the graph representing the given situation are listed below

 A (0 ,400)

 B ( 1 ,350 )

 C (2,300)

 D(3,250)

  E(4, 200)

  F(5, 150)

  G(6, 100)

   H(7, 50)

   I (8, 0)

The graph attached shows the nature of the graph.

Total distance traveled by Deema = 400 miles

The average speed of  Deema = 50 mph

In each 1 hour, 50 miles of distance will be covered

So by the rate of 50 miles per hour the coordinates in this situation are given as follows

Time (X axis)           Distance (Y axis)

  0                                  400

   1                                  350

   2                                 300

   3                                 250

   4                                 200

   5                                 150

   6                                 100

   7                                  50

   8                                   0

The coordinates of the graph are listed above and the nature of graph is shown in the figure attached in the solution.

The graph of this situation has a constant negative slope.  

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Answer:

67.938 =

(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)

Step-by-step explanation:

Here, we want to write the given number in expanded form

Mathematically that will be ;

60 + 7 + 0.9 + 0.03 + 0.008

Using the power of 10, that will be;

(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)

Let's solve your inequality step-by-step.

h−(−2)≥10

Step 1: Simplify both sides of the inequality.

h+2≥10

Step 2: Subtract 2 from both sides.

h+2−2≥10−2

h≥8

Answer:

h≥8

(Pls mark brainliest)

The solution to the inequality h  -(-2)  ≥  10  is  h  ≥   8

The given inequality is:

h  -(-2)  ≥  10

Simplify the left hand side

h  +  2  ≥  10

Subtract 2 from both sides of the inequality

h  +  2  -  2  ≥  10  -  2

h    ≥   8

The solution to the inequality h  -(-2)  ≥  10  is  h  ≥   8

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Answer:

I'm pretty sure its 1 1/8

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Hope this helps!

Answer: 2x+4=10

Step-by-step explanation:

because each notebook would cost $3 so 2 x 3 = 6 +4=10

Answer:

first

2x + 4 = 10

2x+4=10

2x+4=10

Solve

1

Subtract

4

4

4

from both sides of the equation

2

+

4

=

1

0

2x+4=10

2x+4=10

2

+

4

−

4

=

1

0

−

4

2x+4{\color{#c92786}{-4}}=10{\color{#c92786}{-4}}

2x+4−4=10−4

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

6

2x=6

2x=6

3

Divide both sides of the equation by the same term

2

=

6

2x=6

2x=6

2

2

=

6

2

\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}

22x​=26​

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

x=3

x=3

Solution

=

3

Second one

6 = 10

2

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

5

3

x=\frac{5}{3}

x=35​

Solution = 5/3

i hope these help to figure out the third sorry its all messed up it wouldnt let me do another way

Answer:

I think that the answer is 32 cupcakes. I am sorry if this is wrong, but go subscribe to me at SSSniperwolf and LittleLia.

Step-by-step explanation:

Answer:

Step-by-step explanation:

hi malak

Answer:

157

Step-by-step explanation:

Answer:

can you explain what two number you added to get that number "157"

Step-by-step explanation:

Answer:A number increased by seventeen is equal to seventy-three. x + 17 = 73

Some number decreased by seven is thirty-three. x - 7 = 33

A number increased by twelve is forty. x + 12 = 40

A number increased by fifteen is sixty-two. x + 15 = 62

Eight less than a number is nine. x - 8 = 9

A number divided by 11 is 4. x/11 = 4

Seven more than three times a number is 19. 3x + 7 = 19

Four more than five times a number is thirty-six. 5x + 4 = 35

Eight less than nine times a number is eleven. 9x - 8 = 11

Twelve more than four times a number is seven. 4x + 12 = 7

Seven more than triple a number is fifteen. 3x + 7 = 15

Seven times a number increased by eight equals twenty-three. 7x + 8 = 23

Eight more than six times a numbers is eleven. 6x + 8 = 11

Nine times a number increased by thirteen is twelve. 9x + 13 = 12

The quotient of a number and four is seventeen. x/4 = 17

A number increased by seven is twenty-five. x + 7 = 25

Fifty-five is the sum of a number and sixteen. x + 16 = 55

The product of a number and eleven is seventy-five. 11x = 75

Eight times a number increased by eleven is thirty-seven. 8x + 11 = 37

The difference of a number and twelve is thirty-four. x - 12 = 34

Step-by-step explanation:

Answer:

x is equal to or greater than 3

Step-by-step explanation:

7x + 8 => 29

7x => 21

x => 3

Answer:

C. Square root of x = -5

Step-by-step explanation:

Answer: c [tex]\sqrt{x} =-5[/tex]

Step-by-step explanation: