A delivery company has 2 shipping options. One option is to pay a flat fee of $16 for a single package regardless of weight. The other option is to
pay a fee of $4.50 plus $1.70 per pound for a single package.
Which system of equations can be used to determine the weight, w, of the package, in pounds, where the cost, c, will be the same for both
shipping options?

Answer:

Yes, the card is a right triangle.

Step-by-step explanation:

The card is a right triangle, specifically a 3-4-5 right triangle.

A 3-4-5 right triangle is any right triangle that has side lengths in the ratio of 3:4:5.

The 3-4-5 rule says that any triangle with a side length ratio of 3:4:5 is a right triangle.

So, the card is a right triangle.

Answer:

A = 6π

Step-by-step explanation:

Expression for the area of a sector is given by,

A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]

For θ = 240° and r = 3,

By substituting these values in the given expression,

A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]

   = [tex]\frac{240\times 9}{360}\pi[/tex]

   = 6π

Therefore, A = 6π is the answer.

Answer:

5.78

19

Step-by-step explanation:

Let original population be, P = x

Growth in 12 years, A = 2x

Rate be = r

Time = 12years

Find the rate :

   [tex]A = P(1 + \frac{r}{100})^t[/tex]

 [tex]2x = x(1 + \frac{r}{100})^{12}\\\\\frac{2x}{x} =(1 + \frac{r}{100})^{12}\\\\2 = (1 + \frac{r}{100})^{12}\\\\ \sqrt[12]{2} = (1 + \frac{r}{100})\\\\\sqrt[12]{2} - 1 = \frac{r}{100}\\\\2^{0.08} - 1 = \frac{r}{100}\\\\1.057 - 1 = \frac{r}{100}\\\\0.057 \times 100 = r\\\\r = 5.7 \%[/tex]

The annual rate of increase of the population of this city is approximately 5.78.

Find  time in which the population becomes 3 times.

That is A = 3x

P = x

R= 5.78%

               [tex]A = P( 1 + \frac{r}{100})^t\\\\3x = x ( 1 + \frac{5.78}{100})^t\\\\3 = (1.0578)^t\\\\log \ 3 = t \times log \ 1.0578 \\\\t = \frac{log \ 3}{ log \ 1.0578 }\\\\t = 19.55[/tex]

The population will grow to three times its current size in approximately 19years .

5.78% ,19 years are the answers.

2=(1+r)^12

r=(2)^(1÷12)−1

R=0.0578*100=5.78%

3=(1+0.0595)^t

t=log(3)÷log(1.0595)

t=19 years

Exponential growth and exponential decay are two of the most common uses of exponential functions. Systems with exponential growth follow a model of the form y = y0ekt. In exponential growth, the growth rate is proportional to the amount present. In other words, for y'= ky

exponential function, multiply a by x to produce y. The exponential graph looks like a curve that starts with a very flat slope and becomes steep over time.

The exponential model, like the sphere model, starts at the origin and operates linearly near it. However, the increasing slope of the curve is less than the slope of the spherical model.

Learn  more about exponential function here:https://brainly.com/question/2456547

#SPJ2

Answer:

(3,2)

Step-by-step explanation:

the other three ordered pairs do not lie in the shaded region

Answer:

sqrt(106) =c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

5^2 +9^2 = c^2

25+81 = c^2

106 = c^2

Taking the square root of each side

sqrt(106)= sqrt(c^2)

sqrt(106) =c

Answer:

Length of missing side is 10.44/ √106.

Step-by-step explanation:

Here we have

A right triangle with

1st side = a = 5

2nd sidd = b = 9

and , we need to find 3rd side of triangle

let the 3rd side be x.

Using Pythagoras theorem

a ² + b ² = c ²

( 5 ) ² + ( 9 ) ² = ( c)²

25 + 81 = ( c) ²

106 = ( c) ²

Taking square root of each side

√106 = √ c ²

√106 = c

10.44 = c

So, missing side if triangle is 10.44 /√106.

Answer:

D and E

Step-by-step explanation:

Let's double check:

D. 9 ÷ 3 = 3

E. 4 × 9 = 36

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Have a great summer :)

Answer:

the answers would be A, D, and E

Step-by-step explanation:

just replace the Cs with the number 9 and solve from there.

for example c/3=3 would say 9/3=3

Answer:

x=29.9

Step-by-step explanation:

x=29.9

Answer:

29,800

Step-by-step explanation:

that will be 149 x 2 which equals 298

149

 ×2         Multiply 9 × 2 = 18

------        Keep the 8 carry the 1 multiply 4 by 2 then add 1 finally multiply 2 by 1

298

Then add two zeros at the end since we're multiplying a number with two zeros. (This method only works for numbers that end with zeros)

Final answer: 29800

Answer:

gotta be  answer A

Step-by-step explanation:

you can search up f(x) = square root of x

Answer:

69.47%

Step-by-step explanation:

Calculation to determine Find the percent of markup

Using this formula

Percent of markup=New price-Old price/Old price

Let plug in the formula

Percent of markup=$15.95-$4.87/$15.95

Percent of markup=$11.08/$15.95

Percent of markup=0.6947*100

Percent of markup=69.47%

Therefore the percent of markup is 69.47%

A. Perpendicular!

Because they cross with a 90 degree angle :]

Answer: Perpendicular

Step-by-step explanation: Hope this helps

Answer: 10.8%

Step-by-step explanation:

The question is asking what the percentage of the down payment is of the purchase price of the house.

For such a question, the purchase price needs to be known.

We shall therefore assume a purchase price and you can use the process to find out your percentage.

Assume the purchase price is $1,000,000.

The percentage would be:

= Down payment / Purchase price * 100%

= 108,000 / 1,000,000

= 10.8%

Answer:

10.8%

Step-by-step explanation:

see above

Answer:

(13+30c)/10

Step-by-step explanation:

Given the expression;

1/2 + 3c + 4/5

Find the LCM

= 5(1)+10(3c)+2(4)/10

=  (5+30c+8)/10

= (13+30c)/10

Hence the required sum is (13+30c)/10

Answer:

well, we only no that

2l + 2w is 80

(lengths and widths on all 4 sides

and that w * l is A

so the function should be w times what's left for l, but also expressed by something with w

2l + 2w = 80 | -2w

2l = 80 -2w | devide by 2

l = 80 - w

now we can substitute l in

A = w * l

so that we only need w's

A(w) = w * (80-w)

for any w it will give us the area, makes only sense for 0<w<80

Answer:

125x³+240xy²+64y³ +300yx²

Step-by-step explanation:

Row of pascals triangle to use is 1 3 3 1

For binomial expansion, use a³ +3a²b+3ab²+b³

Answer:

1. mean: 5

2. median: 6

3. mode: 80% or 8

4. range: 7

Step-by-step explanation:

Answer:

mean = 5

median = 6

mode = 80%(aka 8)

range = 7

Step-by-step explanation:

Answer:

5.85

Step-by-step explanation:

100%-> 6.50

100%-10% = 90 %

90%-> 6.50/100 x 90

           =5.85

Answer:

Circumference of a circle

Step-by-step explanation:

The circumference of a circle is longer than its radius of the circle.

Answer:

Step-by-step explanation:

Voir le diagramme ci-attaché.

1) Distance EG

À l'aide du théoreme Pythagore, EG^2 = EF²+FG² = 4²+3² = 25

=>  EG = sqrt(25) = 5

2) Distance SO

Par la symétrie, EO=OG=(EG/2)=5/2 = 2.5

Encore, à l'aide du même théoreme,SE^2 = SO²+EO²

SO^2 = SE² - EO² = 6.5²-2.5² = 42.25 - 6.25 = 36

SO = sqrt(36) = 6  QED

3) Volume de la pyramide

V = (Aire de la base * hauteur ) /3

= (EF * FG) * SO /3

= (4*3) * 6 /3

= 24 cm³

Answer:

0.48 m^3

Step-by-step explanation:

volume = length * breadth * height

=6m * 4m * 0.02m

=0.48 m^3

Answer:

Area of four walls is 3960 square feet.

Step-by-step explanation:

length, L = 30 ft

Width, W = 50 ft

height, H = 6 ft

The area of walls is

= 2 (L W + W H + H L)

= 2 (30 x 50 + 50 x 6 + 6 x 30)

= 2 (1500 + 300 + 180)

= 3960 square feet

Answer/Step-by-step explanation:

How much tile would he need to cover the floor?

Answer: 1500 Ft^2

If the height of the basement is 6 ft, how much wall area is there to paint?

Answer: 960 Ft^2

Answer:

1 2/9 minutes faster

Step-by-step explanation:

Take the larger number and subtract the smaller number

8 5/9 minutes - 7 1/3 minutes

Get a common denominator

8 5/9 - 7 1/3 *3/3

8 5/9 - 7 3/9

1 2/9 minutes faster

Answer:

Answer:

perimeter=1/2*2πr

Step-by-step explanation:

1/2*2*3.142*10

=31.42

Answer:

meta beta

Step-by-step explanation:

diem ryugudnhkng.

Replace x and y in the equation with what they tell you x and y equal.

2(14) / 13 - 9(1/3)

Now simplify:

2 x 14 = 28

9 x 1/3 = 3

You now have:

28/13-3

Simplify again to het 28/10 this can be reduced to 14/5

Answer:

B

Step-by-step explanation:

tan28=tan (90-62)=cot 62=1/tan 62