Use a double number line to solve. Gabe collects model train and planes. He has 2 trains for every 5 planes. If Gabe has 25 planes, how many trains does he have? [Type your answer as a number.]

The two lines intersect to form four angles. If one angle measures 120°, all the other three angles also measure 120° each.

When lines l and k intersect, they form four angles. According to the properties of intersecting lines, opposite angles or vertical angles are equal. Therefore, if one angle is 120°, its vertical angle is also 120°. The sum of angles at a point is 360°, as the measurement around a point forms a complete circle. Hence, the other two angles, which are also vertical angles, will be 360° - (120°+120°) = 120° each. So, "all the angles in this case measure 120°".

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Answer:

1/3

Step-by-step explanation:

The ratio of AB to CB

AB/CB

3/9

Simplifying by dividing the top and bottom by 3

1/3

Answer:

t^6

Step-by-step explanation:

The simplified form is [tex]t^{6}[/tex].

Related to "simplification" troubles are a few "solving" issues. just as some expressions contain parentheticals and even nested grouping symbols, so also do a few equations. The simplification manner is equal, whether or not we are running with expressions (and for this reason best simplifying) or equations (so we're additionally fixing).

Like terms: terms which have equal variable elements (identical variable(s) and same exponent(s)). Whilst simplifying using addition and subtraction, you combine “like terms” through retaining the "like term" and including or subtracting the numerical coefficients.

[tex]t^{12}[/tex] divided by [tex]t^{6}[/tex]

[tex]=t^{12-6}\\ = t^{6}[/tex]

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Answer:

D. $5.37

Step-by-step explanation:

We need to figure out how much grapes cost per pound

Change the mixed number to an improper fraction

7 1/5 = (5*7+1) /5 = 36/5

$12.89 / 36/5

Copy dot flip

12.89 * 5/36 = 1.79 per lb

If we are purchasing 3 pounds, we will multiply by 3

3 lbs * $1.79 / lb = $5.37

Answer:

D) y = -4x + 5

Step-by-step explanation:

We know a point and a slope.  The point is a special point.  It is the y intercept because x = 0.  We can use the equation for a line in slope intercept form

y= mx+b

where m is the slope  = -4

and b is the y intercept = 5

y = -4x+5

The equation of the line that crosses the y-axis at the point (0,5) and has a slope of -4 is y = -4x + 5. This is found by using the formula of the slope-intercept form of a line, substituting -4 for the slope and 5 for the y-intercept.

To find the equation of the line which crosses the y-axis at the point (0,5) and has a slope of -4, we need to use the formula of slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept.

The slope, m, is given as -4. The y-intercept, b, is where x=0, thus is the y-value of the line where it crosses the y-axis. The point provided (0,5) indicates that b=5.

By substituting the slope and y-intercept into the equation, we get y = -4x + 5. So, the equation of the line is y = -4x + 5. Consequently, the correct answer is D) y = -4x + 5.

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Answer:

The cost of one puzzle be $15 .

Step-by-step explanation:

Let us assume that the cost of rock tumblers be x.

Let us assume that the cost of spy pen be y.

Let us assume that the cost of puzzels be z.

Esther purchased two rock tumblers and one spy pen for $74.

Than the equation becomes

2x + y = 74

Eli purchased two puzzles  and a spy pen for $50.

Than the equation becomes

y + 2z = 50

Sabine purchased a rock tumbler and two puzzles for $57. Based

Than the equation becomes

x + 2z = 57

Than the three equation are

2x + y = 74

y + 2z = 50

x + 2z = 57

Subtracted y + 2z = 50 from 2x + y = 74 .

2x - y + y - 2z = 74 - 50

2x - 2z = 24

x - z = 12

Now using the equation x - z = 12 and x + 2z = 57  .

Subtracted  x - z = 12 from  x + 2z = 57  .

x - x + 2z + z = 57 - 12

3z = 45

[tex]z = \frac{45}{3}[/tex]

z = 15

Therefore the cost of one puzzel be $15.

c) 7π cm

The length of an arc (s) is related to its central angle (θ) and the radius of the circle (r) by ...

... s = rθ . . . . . . . . . θ in radians

Here, the central angle measures are given in "grads". There are 400 grads in a circle, so 200 grads in π radians. To convert grads to radians, we multiply the number of grads by π/(200g).

Then the lengths of the arcs are ...

... arc AB = (20 cm)·(50g·(π/(200g))) = 5π cm

... arc BC = (10 cm)·(40g·(π/(200g))) = 2π cm

E = arc AB + arc BC = 5π cm + 2π cm = 7π cm

Answer:

24 units

Step-by-step explanation:

Given is a circle with two chord BE and CD

BE and CD intersect at A

By circle chords intersection theorem we have

DA*AC = EA*AB

i.e. 8(15) = 5(AB)

Divide by 5 both the sides

AB =8(15)/5 = 8(3) = 24 units

Verify:

Let us check now whether chord intersection theorem is satisfied.

DA*AC = 8(15) = 120

EA*AB = 5(24) = 120

Since these two equal, we verify that answer is right.

Answer:  The correct option is

(A) [tex]\left(\dfrac{1}{2},-\dfrac{5}{2}\right).[/tex]

Step-by-step explanation:  We are given to find the mid-point of the line segment CD shown in the graph.

From the graph, we note that

the co-ordinates of the endpoints of the line segment CD are (-3, -4) and D(4, -1).

We know that

the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) are given by

[tex]M=\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]

Therefore, he co-ordinates of the midpoint of line segment CD are

[tex]M=\left(\dfrac{-3+4}{2},\dfrac{-4+(-1)}{2}\right)=\left(\dfrac{1}{2},-\dfrac{5}{2}\right).[/tex]

Thus, the required midpoint of CD is [tex]\left(\dfrac{1}{2},-\dfrac{5}{2}\right).[/tex]

Option (A) is CORRECT.

The midpoint of the line segment between (-3, -4) and (4, -1) is (1/2, -5/2). Correct option is 1.

To find the midpoint of the line segment between two points (x1, y1) and (x2, y2), you can use the midpoint formula:

Midpoint (M) = ((x1 + x2) / 2, (y1 + y2) / 2)

Given the points (-3, -4) and (4, -1), let's find the midpoint:

Midpoint (M) = ((-3 + 4) / 2, (-4 + (-1)) / 2)

Midpoint (M) = (1 / 2, (-5) / 2)

Midpoint (M) = (1/2, -5/2)

So, the midpoint of the line segment between (-3, -4) and (4, -1) is (1/2, -5/2).

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Answer:

A

Step-by-step explanation:

Total is ALWAYS 100%.

It says that 78.2% DO STUDY. It means the REST (100-78.2) DO NOT STUDY.

What is 100 - 78.2 ? It is 21.8%

To get the answer in decimal, we divide by 100:

[tex]\frac{21.8}{100}=0.218[/tex]

Hence, A is the correct answer.

Answer:

93 °F

Step-by-step explanation:

At 7 am, the temperature was 55 °F + 2×7 °F = 69 °F.

At 10 am, the temperature was 69 °F + 3×8 °F = 93 °F.

Since the temperature was constant until 3 pm, it was 93 °F at noon.

Answer:

639.4 minutes

Step-by-step explanation:

It says that Saturn approximately 10 hours, 39 minutes, and 24 seconds to complete a full rotation.

Now we need to find about how many minutes does it take Saturn to complete a full rotation.

So we need to convert 10 hours and 24 seconds into minutes using formula:

1 hour = 60 minutes

and

1 second = 1/60 minutes

Plug these values into given rotation time:

10 hours + 39 minutes + 24 seconds

= 10 (60 minutes) + 39 minutes + 24(1/60 minutes)

= 600 minutes + 39 minutes + 24/60 minutes

= 600 minutes + 39 minutes + 0.4 minutes

= 639.4 minutes

Hence final answer is 639.4 minutes.

Answer:     " 1 lb ,  14 oz. " .

_________________________________________________

Step-by-step explanation:

_________________________________________________

Note the exact conversion:    " 16 oz.  =   1 lb.  " .

→  {that is:  " 16 ounces  =  1 pound " .}.

_________________________________________________

  30 oz. * ( 1 lb / 16 oz). =  [tex]\frac{30}{16}[/tex]  lbs. ;

                                      = (30/2) / (16/2)   lbs.

                                      =  (15 / 8) lbs.  ;

_________________________________________________

       1

8 ┌ 15

    -  8                            

        7  ;              

______________________

The answer is equal to:  " 1  7/8  lbs. " .  

           →   (1 lb)  + (7/8) (lb).  ;

______________________

 →  (7/8) lb.   =  how many "oz." ??

_______________________

Note the exact conversion:   " 1 lb.   =   16 oz.  " .

_______________________

 →   [tex]\frac{7 lb}{8}[/tex] * [tex]\frac{16 oz}{1 lb}[/tex]  ;

                    =  [tex]\frac{7}{8} * \frac{16}{1}[/tex]  oz.   ;

 →  The "8" cancels to a "1" ; and the "16" cancels to a "2" ;

                   →  {since:  " {16 ÷ 8 = 2 } " ;  

             and:   {since:  " {8 ÷ 8 = 1 } " .

_______________________________________________

 →  So we can rewrite as:  

_______________________________________________                  

                  →  [tex]\frac{7}{1} *  \frac{2}{1}[/tex]  oz. ;

                         =  { 7  *  2 }  oz.  ;

                         =   14  oz.

_______________________________________________

→  So:        

_______________________________________________  

 →   " 30 oz. "  =  " (1 lb)  + (7/8) lb.  "  ;

                        =  "  1 lb. + 14 oz. "  ;

                        =  " 1 lb ,  14 oz. " .

_______________________________________________

        →  The answer is:  " 1 lb ,  14 oz. " .

_______________________________________________

Let us check our answer:

  →   Does:     " 1 lb.  +   14 oz. = ?  30 oz. ? " ;

_______________________________________________

Note the exact conversion:  " 1 lb.  =  16 oz. " .

_______________________________________________

  →   Does:  " 16 oz.   +   14 oz.   =  ?   30 oz. ??  " ;

_______________________________________________

  ₁

  16 oz            

+ 14 oz            

  30  oz.

_______________________________________________

→   Does:   " 30 oz.  = ?  30 oz. ? "  ??? ;  →   Yes!

_______________________________________________

Hope this helps!

 Best wishes to you in your academic endeavors

           — and within the "Brainly" community!

_______________________________________________

Answer:

f=0.02b

Step-by-step explanation:

So we want to figure out the fee (f) therefore our answer will be in terms of f=(something).  Now since the fee is 2% and 2% is decimals is 2÷100=0.02  then:

f=0.02b

Meaning that the fee is 2% of the balance (b).

Answer:

14z + 16 is your perimeter

Step-by-step explanation:

To solve the perimeter, add all sides together. Note that in a rectangle, the opposite sides are congruent and parallel to each other.

Let Perimter = p

p = 2(4z + 3) + 2(3z + 5)

Simplify. Distribute the numbers.

2(4z + 3) = 8z + 6

2(3z + 5) = 6z + 10

Simplify. Combine like terms

p = 8z + 6 + 6z + 10

p = 14z + 16

14z + 16 is your perimeter

~

All of them

A. 3/7 ≈ 0.43

B. 4/9 ≈ 0.44

C. 33/50 = 0.66

D. 9/14 ≈ 0.64

All of the above numbers are 0.66 or less.

b=1/4r-3/4

Step-by-step explanation:Divide everything by 16

Leave it a fraction

So ye...

∠2 = 37.5°

You have two relationships:

... ∠1 - ∠2 = 15°

... ∠1 + ∠2 = 90°

Subtracting the first equation from the second gives ...

... (∠1 + ∠2) -(∠1 -∠2) = (90°) -(15°)

... 2·∠2 = 75° . . . . simplify

... ∠2 = 37.5° . . . . . . divide by 2

_____

Angle 1 and Check

The complement of angle 2 is ...

... ∠1 = 90° -37.5° = 52.5°

and the difference between the two angles is ...

... ∠1 - ∠2 = 52.5° -37.5° = 15° . . . . as required

Angle 2 is found by solving an equation with complementary angles.

The problem states that Angle 1 is 15 degrees more than Angle 2, and they are complementary angles. Complementary angles add up to 90 degrees.

Let's represent Angle 2 as x. Angle 1 would be x + 15 since it is 15 degrees more than Angle 2.

Therefore, we can write the equation:

x + (x + 15) = 90

Combining like terms, we have:

2x + 15 = 90

Subtracting 15 from both sides, we get:

2x = 75

Dividing both sides by 2, we find:

x = 37.5

So, the measure of Angle 2 is 37.5 degrees.

[tex]f\div\dfrac{1}{4}=f\times\dfrac{4}{1}=4f\\\\f=\dfrac{2}{9}\to4f=4\times\dfrac{2}{9}=\boxed{\dfrac{8}{9}}[/tex]

Answer:

The correct answer is:    [C]:

________________________________________________

  " {The figure is a kite.  To be a parallelogram, it would have to have pairs of opposite congruent sides, not just congruent sides. } ."

________________________________________________

Step-by-step explanation:

________________________________________________

Note that "all" squares are "parallelograms" ; and that "all" rectangles are

                "parallelograms" ;  

           yet:  "Not All parallelograms" are "squares" or "rectangles".

________________________________________________

The question asks:

________________________________________________

"Quadrilateral QRST has two pairs of congruent  sides, but it is not a parallelogram.  

What figure is it?  

What further condition would have to satisfy to be a parallelogram? "  .

________________________________________________

So;  we can rule out:

________________________________________________

"Answer choices:

[A]:  "The figure is a square..." ;

________________________________________________

[B]:   "The figure is a rectangle..." ;  AND :

________________________________________________

[D]: "The figure is a square..."  .

________________________________________________

We are left with:

________________________________________________

Answer choice:  [C]:  

________________________________________________

          " { The figure is a kite.  To be a parallelogram, it would have to have pairs of opposite congruent sides, not just congruent sides. } "  .

________________________________________________________

7 months

After Carter makes his $500 payment, the balance on the loan is -1596.37. We want to find the number of months (m) such that ...

... -1596.37 +250m ≥ 0

... m ≥ 1596.37/250 . . . . add 1596.37, divide by the coefficient of m

... m ≥ 6.4

The least number of months that is more than 6.4 is 7 months.

_____

Comment on this answer

Carter's loan balance may also be affected by interest charged on the loan amount. We don't expect those charges to be so high as to require an additional month's payment.

So with this system of equations, I will be using the elimination method. With the two equations, add them together and you will get:

[tex]2x=6[/tex]

Since the y-variable has been eliminated, we can solve for x. With this, divide both sides by 2:

[tex]x=3[/tex]

Now that we know the value of x, substitute it into either equation to solve for y:

[tex]3+y=2\\y=-1\\\\3-y=4\\-y=1\\y=-1[/tex]

In (x,y) form, your answer is (3,-1).

Answer:

x=3, y=-1

Step-by-step explanation:

x+y = 2  

x -y =4  

I will use elimination to eliminate the variable y.  Add the two equations together.

x+y = 2  

x -y =4  

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

2x = 6

Divide each side by 2

2x/2 = 6/2

x = 3

But we still don't know y

x+y =2

Substitute x=3 into the equation

3+y =2

Subtract 3 from each side

3-3 +y =2-3

y =-1

1. A line has only a length dimension. It has no width or height. It is a one-dimensional object.

2. Points on the same line are collinear. On the same plane, they are called coplanar. Coordinates locate a point relative to some measurement reference.

Answer:

47.8

Step-by-step explanation:

8^2+3.8-10*2

64+3.8-20

47.8

Answer:

f(x) and g(x) have the same x-intercepts (is not true)

Step-by-step explanation:

g(x) is a reflection across the y-axis and a horizontal compression of f(x). In general those transformations will move the x-intercepts. (The y-intercept and the number of x-intercepts will remain unchanged.)

_____

Comment on the question/answer

f(x) = x^3 is a 3rd degree polynomial. When transformed to g(x) = -8x^2, its only x-intercept (x=0) remains the same. The answer above will not apply in any instance where the only x-intercept is on the line of reflection. (The question is flawed in that it does not make any exception for such functions.)

Answer:

71.79 degrees

Step-by-step explanation:

The cosine is (adjacent side to angle) / (hypotenuse)

so the cosine of x = 5/16

to get x you multiply cosine by its inverse

(cos^-1 x)(cos x) = (cos^-1 x)(5/16)

= 71.79 degrees

Answer:

Additive identity.

Step-by-step explanation:

The zero is the additive identity. It is so named because when you add 0 to anything, you leave the unchanged.  To give you a better idea about what this is, the multiplication identity is 1

One times anything does not change anything's value. 1 * 33 = 33. 33 is left unchanged.