Elias and Niko are polishing the silver at the heritage museum. Elias could polish all the silver himself in 40 minutes. That task would take Niko 50 minutes to complete alone. Which table is filled in correctly and could be used to determine how long it would take if Elias and Niko polished the silver together?

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:

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.

A. 3

Fill in the given values in the formula (h=0, r=48) and solve for t.

... 0 = 48t -16t²

... 0 = 16t(3 -t)

This is true for t = 0 and for t = 3.

The ball will take 3 seconds to hit the ground.

Answer:

A.3

Step-by-step explanation:

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

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. } "  .

________________________________________________________

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:

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:

96°

Step-by-step explanation:

ΔKLM is isosceles, so base angle KML will be half the supplement of ∠MLK, or ...

.... ∠KML = (180° -48°)/2 = 66°

ΔKJM is also isosceles, so base angle JMK will be the same measure as ∠JKM, 30°.

∠JML = ∠JMK + ∠KML = 30° +66°

∠JML = 96°

Answer:

$13

Step-by-step explanation:

$26,555 ÷ 36 = 737.6388889 ≈ $738 per month

36 × 738 = $26,568

= $13

Answer:

$13 will be overpaid after 36 months if payments are rounded of to nearest whole number dollar.

Step-by-step explanation:

We are given the following in the question:

Total cost of car = $26,555

Number of equal installments made = 36

Payment of 1 installment =

[tex]\displaystyle\frac{\text{Toatl cost}}{\text{Number of installments}} = \frac{26555}{36} = 737.6389\$[/tex]

Rounding of to nearest whole number, payment of one installment =  $738

Value of 36 installments of $738 each =

[tex]36\times 738 = 26568\$[/tex]

Money overpaid after 6 months =

[tex]26568 - 26555 = 13\$[/tex]

Thus, $13 will be overpaid after 36 months if payments are rounded of to nearest whole number dollar.

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.

[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:

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:

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:

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:

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.

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:

47.8

Step-by-step explanation:

8^2+3.8-10*2

64+3.8-20

47.8

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:

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:

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

~

b=1/4r-3/4

Step-by-step explanation:Divide everything by 16

Leave it a fraction

So ye...

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.

[tex]\frac{x}{8} + 19 = 30[/tex] - subtract 19 from both sides

[tex]\frac{x}{8} = 11[/tex] - multiply both sides by 8

[tex]x = 88[/tex]

In this equation, x = 88.

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:

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:

Median.

Step-by-step explanation:

Assuming the teacher is not of similar age to the students, their higher age would pull the mean higher than if the teacher were not included, where  the median would not be pulled by this extreme value.

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).

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.