graph D Which graph represents the system 3x + 5y ≤ 9 and 2x + y ≥ 5?

Answer:

Center (7, -5) and radius=6

Step-by-step explanation:

The question is on center and radius of a circle

The general circle equation is given as (x-h)² + (y-k)²= r² where the center is (h,k) and radius is r

Given   (x-7)^2 + (y+5)^2 = 36?

            (x-7)²  + (y+5)²= 6²

h=7 and y=-5 and r=6

ANSWER

Center:(7,-5)

Radius:r=6

EXPLANATION

The given circle has equation;

[tex] {(x - 7)}^{2} + {(y + 5)}^{2} = 36[/tex]

We can rewrite this as:

[tex]{(x - 7)}^{2} + {(y - - 5)}^{2} = {6}^{2} [/tex]

Comparing this to the standard equation of the circle:

[tex]{(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]

we have h=7,k=-5, and r=6.

Therefore the center (h,k)=(7,-5) and the radius is r=6.

Answer:

$4,100

Step-by-step explanation:

Final answer:

The dealership's profit from selling the two vehicles, after considering a 15% markup on the four-door sedan and a 25% markup on the trade-in vehicle, was $4,100.

Explanation:

To calculate the dealership's profit on the two vehicles, we need to consider the markup on each transaction.

Profit from the Four-Door Sedan

The dealership purchased the sedan for $19,000 and sold it at a 15% markup. The markup is calculated as 15% of the purchase price:

Markup on sedan = 0.15 times $19,000 = $2,850

The selling price of the sedan would thus be:

Sell price of sedan = Purchase price + Markup = $19,000 + $2,850 = $21,850

Profit from the Trade-In Vehicle

After trading in the first car and effectively reducing its cost by $5,000, the dealership then sells the trade-in at a 25% markup. First, we calculate the trade-in's sale price:

Trade-in value = $5,000

Markup on trade-in = 0.25 times $5,000 = $1,250

Sell price of trade-in = Trade-in value + Markup = $5,000 + $1,250 = $6,250

Total Profit

The total profit is the sum of profits from both vehicles:

Total profit = Markup on sedan + Markup on trade-in = $2,850 + $1,250 = $4,100

Therefore, the dealership's profit on these two vehicles was $4,100.

The slope here is 0.

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (4, 5)

m = [tex]\frac{5-5}{4+3}[/tex] = [tex]\frac{0}{7}[/tex] = 0

"Dr. Paul Opler states, "I have some information on butterfly weights but not exact weights for the largest and smallest butterflies. However, I can make pretty good guesses. I have weights ranging from 0.3 gram for a large swallowtail to 0.04 gram for a small butterfly called the elf."

from the intern3t

Answer:

It would most likely 0.02 - 0.03 because if u think about it there wings don't weight more than about 0.1  and if the wings can hold up the body of the butterfly then i would assume that it would weight between 0.02 - 0.03.

Step-by-step explanation:

Answer:

Step-by-step explanation

I don't know if you are asking for a formula but Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.

YOU CAN TRY TO USE THIS FOR YOU ANSWER

L*W*H

The area of the complete circle is PI x 11^2 = 379.94 cm^2

The shaded part is 30 degrees out of 360 degrees

The shaded area = 379.94 x 30/360 = 31.66 = 31.7 cm^2.

The answer is B.

Answer:

$0.09

Step-by-step explanation:

1 pound = 16 ounces

So 2 pounds = 32 ounces

Write a proportion:

$2.88 / 32 oz = x / 1 oz

Solve:

x = $0.09

The price per ounce is $0.09.

Final answer:

To find the price per ounce of a 2-pound broccoli bag costing $2.88, divide the total price by the number of ounces (32), resulting in a price per ounce of $0.09.

Explanation:

To calculate the price per ounce of a 2-pound bag of broccoli that costs $2.88, you first need to know the total number of ounces in the bag. Since there are 16 ounces in 1 pound, a 2-pound bag contains 32 ounces (16 ounces/pound x 2 pounds). To find the price per ounce, you divide the total price of the bag by the total number of ounces.

Price per ounce calculation:

Total price of the bag = $2.88

Total ounces in the bag = 32 ounces

Price per ounce = Total price of the bag / Total ounces in the bag

Price per ounce = $2.88 / 32 ounces

Therefore, the price per ounce is $0.09.

Answer: first 20 second 35

Step-by-step explanation:

Answer:

y = 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 2, so

y = 2x + c ← is the partial equation

To find c substitute (- 3, 1) into the partial equation

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = 2x + 7 ← equation in slope- intercept form

here,

given point is (-3,2) and slope(m) is 2

so y=mx + b

or 2=2×(-3) +b

or b=8

the equation is

y=mx+b

or y=2x+8

or2x-y+8=0

Answer:

Step-by-step explanation:

√(-245)=√(49×5×i^2)=7√5 i=0+7√5 i

Answer:

[tex]\sqrt{-245}[/tex]  in the form a + bi is [tex]0+7\sqrt{5}i[/tex]

Step-by-step explanation:

We know that

       [tex]i=\sqrt{-1}[/tex]

We need to find  [tex]\sqrt{-245}[/tex]

     [tex]\sqrt{-245}=\sqrt{-1}\times \sqrt{245}=i\sqrt{245}=i\sqrt{49\times 5}=i\times 7\sqrt{5}[/tex]

[tex]\sqrt{-245}[/tex]  in the form a + bi is [tex]0+7\sqrt{5}i[/tex]

She is as mean as my cat.

This is a simile that makes sense because the ferocity of “she” is compared to the ferocity of my cat, which is unmatched.

Final answer:

To find the probability that Ricardo will have a quiz on Tuesday, Thursday, or Friday, we add the individual probabilities for each of those days, resulting in a total probability of 60%.

Explanation:

Probability is a measure of the likelihood of an event occurring. To find the probability that Ricardo will have a quiz on Tuesday, Thursday, or Friday, we add the individual probabilities for each of those days.

Probability of having a quiz on Tuesday = 0.2

Probability of having a quiz on Thursday = 0.1

Probability of having a quiz on Friday = 0.3

Total probability = Probability on Tuesday + Probability on Thursday + Probability on Friday = 0.2 + 0.1 + 0.3 = 0.6. Expressing this as a percentage, we get 60%.

Answer:

Step-by-step explanation:

ΔYVH and ΔYBA are similar. Therefore the corresponding sides are in proportion:

[tex]\dfrac{YH}{YA}=\dfrac{YV}{YB}[/tex]

We have

[tex]YH=x,\ YA=17,\ YV=16+22=38,\ YB=16[/tex]

Substitute:

[tex]\dfrac{x}{17}=\dfrac{38}{16}[/tex]            cross multiply

[tex]16x=(17)(38)[/tex]              divdie both sides by 16

[tex]x=\dfrac{(17)(38)}{16}\\\\x=40.375[/tex]

Step-by-step explanation:

You already know that proper fractions have numerators smaller than the denominators, such as 1/2, 2/10 or 3/4, making them equal less than 1. The improper fraction has a numerator larger than the denominator. And mixed numbers have a whole number sitting next to a proper fraction -- for example, 4 3/6 or 1 1/2. As you work on converting improper fractions, you’ll find yourself using your knowledge of division.

Write down the improper fraction -- for example, 27/6. The fraction bar means you need to divide 27 by 6.

Divide 27 by 6. The answer is 4, with a remainder of 3. Use the answer as the whole number part of the mixed number, and place the remainder over the original denominator: 4 3/6.

Reduce the fraction, if necessary. For example, 3/6 equals 1/2 (the lowest common denominator of 3 and 6 is 3, so divide both the numerator and the denominator by 3 to reduce the fraction to 1/2).

If it is a mixed number fraction:  1 1/2

1. multiple the whole number and the denominator 2 x 1 = 2

2. Add that to the numerator 2+1= 3

*Denominator stays the same

3. example answer is...  3/2

******* only mixed numbers can be converted into improper fractions

Answer:

You would need to deposit $2500

Step-by-step explanation:

The simple Interest formula is given as;

[tex]I=\frac{P*R*T}{100}[/tex]

Where I is the interest earned, P the principal amount deposited, R the simple interest rate and T the time.

The question requires us to determine the Principal given that;

I = 100

R = 2

T = 2

We make the Principal the subject of the formula;

[tex]P=\frac{100*I}{R*T}\\\\P=\frac{100*100}{2*2}=2500[/tex]

Answer:

Step-by-step explanation:

[tex]\bold{Q4}\\\text{We have}\\\text{two right triangles with legs a = 4m and b = 7m}\\\text{three rectangles}\ 7m\ \times 38m,\ 8.06m\ \times\ 38m\ \text{and}\ 4m\ \times\ 38m\\\\\text{The formula of an area of a right triangle:}\\\\A=\dfrac{ab}{2}\\\\\text{substitute:}\\\\A_1=\dfrac{(4)(7)}{2}=\dfrac{28}{2}=14\ m^2\\\\\text{The formula of an area of a rectangle}\ l\ \times w:\\\\A=lw\\\\\text{substitute:}\\\\A_2=(7)(38)=266\ m^2\\A_3=(8.06)(38)=306.28\ m^2\\A_4=(4)(38)=152\ m^2\\\\\text{The Surface Area:}[/tex]

[tex]S.A.=2A_1+A_2+A_3+A_4\\\\S.A.=2(14)+266+306.28+152=752.28\ m^2[/tex]

[tex]\bold{Q11}\\(look\ at\ the\ picture)\\\\\text{The formula of a volume of a pyramid:}\\\\V=\dfrac{1}{3}BH\\\\B-\text{area of a base}\\H-\text{height}\\\\\text{In the base we have the square. The formula of an area of a square with side a:}\\\\A=a^2\\\\\text{We have}\ a=12ft.\ \text{Substitute:}\\\\B=12^2=144\ ft^2\\\\\text{For}\ H\ \text{we need use the Pythagorean theorem:}\\\\H^2+6^2=10^2\\\\H^2+36=100\qquad\text{subtract 36 from both sides}\\\\H^2=64\to H=\sqrt{64}\\\\H=8\ m[/tex]

[tex]\text{Substitute:}\\\\V=\dfrac{1}{3}(144)(8)=(48)(8)=384\ ft^3[/tex]

Answer:

The length of the painting, including the frame.

Step-by-step explanation:

We are given that a painting includes a frame of a fixed width around the painting and the total area of the painting is represented by the expression:

[tex](4+2x)(9+2x)[/tex]

We are to determine what does [tex](9+2x)[/tex] represent.

(9+2x) represents the length of the painting, including the frame because [tex](4+2x)(9+2x)[/tex] is the area of the painting including the frame. The longer side [tex](9+2x)[/tex] represents the length.

The length of the rectangle is 6 units.

Answer:

a: C = $4.70d, (d ≤ 5, C = $4.70d - $1   ?:   d ≥ 5, C = $4.70d)

b.(1) dvd returned after 4 days = ($4.70 × 4) - $1 ⇒ $18.8 -$1   ⇒ $17.8

  (2) dvd returned after 7 days = $4.70 × 7  ⇒ $32.9

Answer:

4. Option 3: 65.1 cm^2

5. Option 3: 3.4 inches^2

Step-by-step explanation:

Question 4 :

We can see that there is a rectangle and a half circle in the picture.

So we will find the area of both separately

For the area of rectangle

Area=length*width

=8*5

=40 cm^2

We know that the line which is representing the diameter has length 8 cm

To find the radius

r=d/2

=8/2

=4 cm

As we cannot find the area of half circle, we will find the area of full circle and will divide it in half.

So,

area= πr^2

=3.14*(4)

=3.14*16

=50.24 cm^2

Area of half circle=(Area of full circle)/2

=50.24/2

=25.12 cm^2

So the area of shape will be

Area of rectangle+area of half circle

=40 cm^2+25.12 cm^2

=65.12 cm^2

Rounding off to nearest 10 will give 65.1 cm^2

So, option 3 is the correct answer ..

Question 5 :

To find the area of shaded region we have to find the area of circle and area of square in which it is inscribed

So,

area of circle= πr^2

=3.14*(2)^2

=3.14*4

=12.56 inches^2

And to find the area of square we need one of its side, we can clearly see that the diameter of circle will be equal to the side of square

So,

Side of square=s=r*2

=2*2

=4 inches

Area of square=s^2

=4^2

=16 inches^2

To find the area of shaded region we have to subtract the area of circle from the area of square

So,

Area of Shaded Region=Area of Square-Area of Circle

=16-12.56

=3.44 inches^2

Rounding off to the nearest 10 will give 3.4 inches^2 ..

So, option 3 is the correct answer ..

Answer:

its B

Step-by-step explanation:

Answer: C: 27 just took the test..

Step-by-step explanation:

Answer:

C) (2,-5)

Step-by-step explanation:

Answer:

a) 3x(x+4y-3y^2)

b) 3x(3x -y + 5y^3)

Step-by-step explanation:

a) 3x^2+12xy-9xy^2

We need to factorize the above equation.

We can take 3x common from the above equation.

3x(x+4y-3y^2)

It cannot be further factorized. So the factors are:

3x(x+4y-3y^2)

b) 9x^2 - 3xy +15xy^3

We need to factorize this equation.

Since 3x is common in all terms, taking 3x common

3x(3x -y + 5y^3)

It cannot be further factorized. So the factors are:

3x(3x -y + 5y^3)

Answer:

4.9 & 4.2

Step-by-step explanation:

First, we will have to define mode,

“Mode is the most frequently occurring value of the given data.”

The value with the greatest frequency is called mode. In order to find mode, we have to skim through the data. The value which is repeated most is the mode of the given data. A data can have more than one modes.

For the above data,

4.9 is repeated 3 times.

4.2 is repeated 3 times.

These both numbers have highest frequency in the data.

So the modes are 4.9 and 4.2 ..  

Answer:

So the modes are 4.9 and 4.2

Answer:

Jim's path is the critical path on this activity graph.

Step-by-step explanation:

Critical Path:

Critical path is the the longest path in the project task paths. It shows the least amount of time in which project can be completed. It can be find by looking at the longest path in the network diagram of the project; not in term of nodes or activities instead in term of days.

In given case:

Path 1 Bill task's total duration= 6 days

Path 2 Jim's task's total duration= 17 days

Path 3 Betty task's total duration= 7 days

Path 4 Cynthia task's total duration= 14 days

Hence the longest path i.e. critical path is of Jim's activity path !

Answer:

∠6 = 80°

Step-by-step explanation:

∠5 and ∠6 form a straight angle and are supplementary, hence

∠5 + ∠6 = 180 ← ∠5 = 100° ( given ), hence

100 + ∠6 = 180 ( subtract 100 from both sides )

∠6 = 80°

Answer:

A. (5,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put the coordinates of the points to the inequality, and check:

y ≤ x² - 4x + 2

for (5, 5) → x = 5, y = 5

5 ≤ 5² - 4(5) + 2

5 ≤ 25 - 20 + 2

5 ≤ 7     CORRECT :)

===============================

for (2, 2) → x = 2, y = 2

2 ≤ 2² - 4(2) + 2

2 ≤ 4 - 8 + 2

2≤ -2      FALSE

===============================

for (4, 4) → x = 4, y = 4

4 ≤ 4² - 4(4) + 2

4 ≤ 16 - 16 + 2

4 ≤ 2         FALSE

================================

for (1, 1) → x = 1, y = 1

1 ≤ 1² - 4(1) + 2

1 ≤ 1 - 4 + 2

1 ≤ -1       FALSE

If you don’t know the tax price/value then you can’t add that on the total amount. So, if we don’t know the value of that we can just forget about it for now.

You do $10.19-$1.25 (to get just the price of the pens) =$8.94

To get the value of one pen just do $8.94 divided by 6 (the total number of pens)=$1.49

$1.49=Price for one pen

Hope this helps :)