The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner? (1) Each of the k employees who shared the cost of the dinner paid $19. (2) If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid $18.

Answer:

  see below

Step-by-step explanation:

The positive/negative information tells you the x-intercept is (-8, 0). The y-intercept information tells you the y-intercept is (0, 4). Those two points are sufficient to let you draw the graph with a drawing tool.

__

A "linear function" is a straight line. This one goes through the points listed above.

Step-by-step explanation:

The area of triangle is 53.5m2

Answer: 118.2977 sq. m.

Step-by-step explanation:

Step 1: Calculate "s" (half of the triangles perimeter):

s = a+b+c / 2

s = (13 + 18.2 + 22.3) / 2

s = 26.75

Step 2: Then calculate the Area:

Herons formula

A = √( s(s-a)(s-b)(s-c) )

A = √(26.75 (26.75 - 13)(26.75-18.2)(26.75-22.3)

A = (3√9951535) /80

A = 118.2977 sq. m.

Answer:

Abigail was four times faster in the skateboard than when she is walking

Step-by-step explanation:

Let the total distance to travel be d

distance traveled on skateboard = 2/3 * d = 2d/3

distance walked = 1/3 * d = d/3

So let the time taken to skate be t, then time taken to walk home will be 2t since it is 2 times longer.

Now, the speed on both trips is distance/time

For the snowboard trip, speed is 2d/3/t = 2d/3t

For the walking trip, distance would be;

d/3/2t = d/6t

So let’s compare these two speeds.

Obviously the speed on the skateboard is greater than that walking.

So we can equally divide the speed on the skateboard by that while walking to know how many times faster it is.

Thus, mathematically we have

2d/3t divided by d/6t

So that would be;

2d/3t * 6t/d = 4

So this means she was four times faster on the skateboard

Answer:

(a)Grade =7.5% (No warning sign is needed)

(b)Rise =90 feet

Step-by-step explanation:

[tex]\text{Slope = }\dfrac{Rise}{Run}[/tex]

(a)

Rise = 63 feet

Run (Horizontal distance) = 840 feet.

[tex]\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%[/tex]

A warning sign should not be posted since its grade is less than 8%.

(b)

Grade = 9%

Run (Horizontal distance) = 1000 feet.

Recall that:

Grade = Slope X 100

[tex]9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet[/tex]

The road rises 90 feet over a distance of 1000 feet.

Answer:

6x^2 -31x +40

Step-by-step explanation:

2x * 3x + 2x * - 8 + -5 * 3x -5 * -8  Distributive property

6x^2 -16x -15x + 40  Math

6x^2 -31x +40 Answer

Answer:

20

Step-by-step explanation:

2 in 529 is in the tens place - 10

So if 2 is in the tens place, we have 20 as the value of 2.

Answer:

the answer to ur question would be 20 B)

Answer:

(0, 2)

Step-by-step explanation:

The graph of g(t)= -(t-1)^2+5 is an inverted parabola with vertex at (1, 5).

Making a table of t and g values would be helpful here:

 t      g(t) = -(t - 1)^2 + 5

------ -----

  2     4

  0     4

 -1      1

  1      5

We're looking for an interval on which the average rate of change is zero.

Note that this is the case on the interval (2, 4); g(0) = g(2) = 4, so the change in g is 4 - 4, or zero (0).

The average rate of change of [tex]g(t)=-(t-1)^2+5[/tex] is 0 in interval [tex]-1\leq t\leq 3[/tex].

Given,

[tex]g(t)=-(t-1)^2+5\\[/tex].

We have to find the interval in which [tex]g(t)=-(t-1)^2+5\\[/tex] have an average rate of change of zero.

We know that, the function [tex]f(x)[/tex] will have average range of 0 when [tex]f(b)=f(a)[/tex].

Now we calculate g(1), g(2),g(3) and g(-1),

[tex]g(1)=-(1-1)^2+5\\g(1)=5[/tex]

[tex]g(2)=-(2-1)^2+5\\g(2)=-1+5\\g(2)=4[/tex]

[tex]g(3)=-(3-1)^2+5\\g(3)=-4+5\\g(3)=1[/tex]

[tex]g(-1)=-(-1-1)^2+5\\g(-1)=-4+5\\g(-1)=1[/tex]

Since,

[tex]g(3)=g(-1)=1[/tex]  so the function [tex]g(t)=-(t-1)^2+5\\[/tex] has an average rate of zero at [tex]-1\leq t\leq 3[/tex].

For more details follow the link:

https://brainly.com/question/2530409

Answer:

its 60-15(pie) sq inches

Step-by-step explanation:

Answer:

y = -7

Step-by-step explanation:

A horizontal line has an equation of the form

y = b,

where b = y-intercept

The y-intercept is -7, so the equation is

y = -7

Answer:

Y=-7

Step-by-step explanation:

No matter what x equals, y has to be equal to negative 7. For example i chose 3 to by X, the equation would still be (3,-7).

Answer:

$49.71

Step-by-step explanation:

Take $54.99 - 20% to get $43.99 add 13% and get $49.71

Answer:

2.94117647

Step-by-step explanation:

17 x 2 = 34

50 -34 = 16

The answer is 2 with a remainder of 16

Answer: valu of a

Step-by-step explanation: I Did the test

Answer:

The value of A affects the answer.

Answer:

[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]

Step-by-step explanation:

In ascending order: (starting from the smallest)

[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]

Answer:

.0604 < .604 < .06< .64 < .6

Step-by-step explanation:

.6= 6/10

.64=.64/100

.06=6/100

.604=604/1000

.0604=604/10000

Answer:

Step-by-step explanation:

Given the height h (t )of the sunglasses after t seconds modeled by the polynomial function h(t ) =  -16t²+ 4096

Since the sunglasses hit the ground, the height of the glass on the ground will be 0feet. Substituting h(t)= 0 into the formula to know the time it takes the glass to hit the ground will give;

0 = -16t²+ 4096

0+16t² = 4096

16t² = 4096

Dividing both sides by 16;

16t²/16 = 4096/16

t² = 256

Taking the square root of both sides

√t² = √256

t = 16 seconds

This means that the sunglasses will hit the ground after 16 seconds

Answer:

12 as well 45 78 u want to go 89

Answer:

see explanation

Step-by-step explanation:

Any term in a Fibonacci sequence is the sum of the previous 2 terms.

Given the first 3 terms then

a₄ = a₂ + a₃ = x + y + y = x + 2y

a₅ = a₃ + a₄ = y + x + 2y = x + 3y

a₆ = a₄ + a₅ = x + 2y + x + 3y = 2x + 5y

a₇ = a₅ + a₆ = x + 3y + 2x + 5y = 3x + 8y

Thus the next four terms are

x + 2y, x + 3y, 2x + 5y, 3x + 8y

Answer:

B.   y = 6x^2 - 24x + 16.

Step-by-step explanation:

y = 6(x - 2)^2 - 8

y = 6(x^2 -4x + 4) - 8

y = 6x^2 - 24x + 24 - 8

y = 6x^2 - 24x + 16.

Answer:

12 and 2100

Step-by-step explanation:

(a)

Divide 4800 by 5 for pens per hour produced by 80 machines.

4800 ÷ 5 = 960 pens per hour

Divide 960 by 80 for pens per hour produced by 1 machine.

960 ÷ 80 = 12

Thus 1 machine produces 12 pens per hour

(b)

Multiply 12 by 7 for pens produce in 7 hours by 1 machine.

12 × 7 = 84 pens per hour

Multiply 84 by 25 for pens produced in 1 hour by 25 machines.

84 × 25 = 2100

Thus 2100 pens are produced by 25 machines in 1 hour

Answer:

3628800

Step-by-step explanation:

10 students were trying to decide in how many ways they can arrange themselves from left to right.

There are 10 spaces and 10 students are to be sit.

Let us think of the first student.

10 empty spaces are there, so first student has 10 options.

Now, there are 9 empty spaces, so second student has 9 options.

Now, there are 8 empty spaces, so third student has 8 options.

Now, there are 7 empty spaces, so fourth student has 7 options.

:

:

Last student will have only 1 option.

So total number of ways [tex]= 10 \times 9 \times 8 \times 7 \times .....\times 1 = 3628800[/tex]

OR

Simply we can use the formula:

Number of ways to arrange n persons in a straight line = [tex]n![/tex] = [tex]10! = 3628800[/tex]

Answer:

[tex]-2[/tex]

Step-by-step explanation:

[tex]( ++)2 + ( -+)2 + ( +-)2[/tex]

[tex]++ = +[/tex]

[tex]-+ = -[/tex]

[tex]+- = -[/tex]

[tex]( +)2 + ( -)2 + ( -)2[/tex]

[tex]2-2-2[/tex]

[tex]=-2[/tex]

Answer:

13.5 glasses of water

Step-by-step explanation:

If:

1 water glass can hold 2/9 of a litre

x water glasses can hold 3 litres.

Therefore, expressing it as a litre to glass ratio, we have::

[tex]\dfrac{2/9}{1}=\dfrac{3}{x} \\\dfrac{2}{9}x=3\\$Divide both sides by$ \dfrac{2}{9}\\x=3 \div \dfrac{2}{9}\\x=3 \times \dfrac{9}{2}\\\\x=13.5[/tex]

Therefore, 13.5 glasses of water can be filled with a 3 litre bottle.

Answer:

Solution,

Diameter(d)= 16.4 miles

Radius(r)= 16.4/2= 8.2

Circumference of the given circle= ?

Now,

Circumference of circle:

[tex]2\pi \: r[/tex]

= 2 * 3.14 * 8.2

= 51.496

= 51.5 miles

Hope this helps...

Good luck on your assignment..

Answer:

51.5 miles

Solution,

Diameter(d)= 16.4 miles

Radius(r)= 16.4/2= 8.2

Circumference of the given circle= ?

Now,

Circumference of circle:

= 2 * 3.14 * 8.2

= 51.496

= 51.5 miles

Answer:

Identity property of multiplication

Step-by-step explanation:

Given

Step 5: 1x = 20

Step 6: x = 20

Required

Property that justifies step 6

It should be noted that step 6 is a result of step 5.

So, basically the question is asking for the property applied on step 5.

Given that step 5 is: 1x = 20

The property applied is the identity property of multiplication.

This is so because this property states that when 1 is multiplied to an equation, the result remains the same.

Hence;

When 1 is multiplied to x (i.e. 1x), the result is still x.

So, 1x = 20 at step 5 gives x = 20 at step 6

Answer: Option B is the correct answer.

The identity property of addition

Answer:

15d + 50 = 125

15d = 75

5 days

Step-by-step explanation:

Her total must equal $125.

She has $50 so far.

50 + _____ = 125

In the blank, we will put what she will earn by walking the dogs.

Each day she will earn $15. In d number of days, she will earn 15d.

The equation is:

50 + 15d = 125

15d + 50 = 125

We can subtract 50 from both sides to get

15d = 75

Now we solve the equation to find the number of days.

We divide both sides by 15.

15d/15 = 75/15

d = 5

She will need to walk the dogs for 5 days.

B, A, C are the answers

Hello! :)

—————— ☆ ☆———————————————————————————-

Answer:

5.3 seconds

Step-by-step explanation:

The answer is 5.3 seconds because

If you solve this equation than you will see how it is 5.3 seconds.

Equation: [tex]h (t) = -16t ^ 2 + 48t + 190 [/tex]

Also if you graph it, the answer will be 5.3 seconds

—————— ☆ ☆————————————————————————————

Hope this helps! :)

By: BrainlyMember ^-^

Good luck!

Answer:

^ as the other person said, it's 5.3

Step-by-step explanation:

edge

Answer:

The factors of the polynomial are:

(x + 1) and (x - 3).

Step-by-step explanation:

Consider the image attached.

The upper tiles shows: (x + 1)

And the left tiles shows: (x - 3)

So, the factors of the polynomial are:

(x + 1) and (x - 3).

Answer:

x+1 and x -3

Step-by-step explanation:

None of these answers work.  I believe you recorded the equations incorrectly.

Answer:

$175.

Step-by-step explanation:

There are 100 centimeters in  meter and 1000 metres in a kilometer so we have 100,000 cm in a kilometer.

So the required cost

= 0.07 * 100,000 / 40

= 7000 / 40

= $175.

Answer:

Hello! :) The answer will be under “Explanation”

Step-by-step explanation:

As my answer I got $175

1km would equal to 100,000 cm

1m would be 100cm

That means 1 km = 100 000 cm

Now you have to divide.

100,000 divided by 40 equals to 2,500($0.07)

=$175

If we do the math correctly we can now see that the answer should be $175

Hope this helps! :)

By:BrainlyMember ^-^

Good luck!