Part A
Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20. Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8.80. Let x represent the price per pound for grapefruit, and let y represent the price per pound for oranges. Choose the system of equations that models the situation.

A. 2x + 3y = 7.20
2x + 4y = 8.80
B. 3x + 2y = 7.20
4x + 2y = 8.80
C. 2x + 3y = 7.20
4x + 2y = 8.80
D. 2x + 3y = 8.80
4x + 2y = 7.20
Part B
Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20. Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8.80. Let x represent the price per pound for grapefruit, and let y represent the price per pound for oranges. Use the system of equations from Part A to find the price per pound for oranges.

price: $ ____ per pound

Answer:3 and multiplication

Step-by-step explanation: 3 times 9 equals 27.

A symmetrical likeness between two halves of an item, when one half is the mirror image of the other, is characterized as being proportional and balanced. As an illustration, many forms such as square, rectangle, and circle are symmetric along their respective lines of symmetry.

A symmetrical likeness between two halves of an item, when one half is the mirror image of the other, is characterized as being proportional and balanced. As an illustration, many forms such as square, rectangle, and circle are symmetric along their respective lines of symmetry. Translational, rotational, and reflectional symmetry are the three different forms of symmetry. Symmetrical pictures may be seen in a variety of objects, including leaves, fruits, animals, insects, spiderwebs, flowers, and a great deal more. As an illustration, many forms such as square, rectangle, and circle are symmetric along their respective lines of symmetry.

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(1, 0) is the solution of the line y = 3x - 3

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex]  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m =  [tex]tan \theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

The given line is

y = 3x - 3

To test whether (1, 0) is a solution of the line y = 3x - 3

Putting x = 1

y = 3[tex]\times[/tex] 1 - 3 =

y = 3 - 3

y = 0

(1, 0) is the solution of the line y = 3x - 3

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The account balance after 18 years is $8951.6.

Given the principle is (P) = $4000

The rate of interest (r) = 4.5%

Time (t) = 18 years

It is given that, the compound interest compounded quarterly.

So the amount after 18 years is given by,

[tex]A=P\left(1+\frac{r}{400}\right)^{4t}=4000\left(1+\frac{4.5}{400}\right)^{4\times18}\approx8951.6[/tex]

So the amount after 18 years is $8951.6 approximately.

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Answer:

8 people

Step-by-step explanation:

we have to find the circumfrence by multiplying diameter by pi

180pi

about 565.48668

so now divide by 70 to see how many guest can fit

565.48668/70

8.0784

so 8 people

hopes this helps please mark brainliest

Given that the diameter of the circular table is 180cm . So it's radius would be 90cm . Firstly let's find the circumference as ,

[tex]\longrightarrow C = 2\pi r\\ [/tex]

[tex]\longrightarrow C = 2(3.14)(90cm) =\boxed{565.2\ cm} [/tex]

Now it is given that each guest needs 70cm along the circumference of the table, and we need to find out the number of guests that can be seated at the table. This can be done by dividing the circumference with the length occupied by each guest along the table as ,

[tex]\longrightarrow n_{guests}=\dfrac{565.2\ cm}{70cm}\\ [/tex]

[tex]\longrightarrow n_{guests}= 8.07 \approx \boxed{8} [/tex]

And we are done!

The radius of the roundabout whose circumference is given is: 55 feet.

What is circumference?

The perimeter of a circle or ellipse is known as its circumference in geometry (from the Latin circumferens, meaning "carrying around"). That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc.

As given in the question ,  

The circumference of the roundabout is 345.4 feet.

and we need to find the radius,

We know that, the circumference is calculated by:

Circumference = 2 π r

So, putting value of circumference,

345.4 = 2 (3.14) r

r = 345.4/6.28

r = 55 feet

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Answer:a

Step-by-step explanation:slope=4  y-int=-9

Answer:

A: Slope is 4

    Y intercept (0,-9)

Step-by-step explanation:

slope intercept form is y=Mx+b

m= slope

b= y intercept

y=4x-9

here the m or slope is 4

And b or y intercept is -9

So a is the correct answer

Hopes this helps please mark brainliest

Answer:  for the first question it is 4

Step-by-step explanation:

5x -3x= 15-7

2x=8

2x/2x      8/2

x=4

Answer:

[tex]10x + 17 - 5x = 27 \\ 10x - 5x = 27 - 17 \\ 5x = 10 \\ x = \frac{10}{5} \\ x = 2 [/tex]

The interest that the savings earned in a year in terms of hours of work is B. 20 hours.

Interest is the additional earning obtained from an investment.

It is computed as the principal multiplied by the annual percentage rate (APR) and the period.

Earnings per hour = $10

Investment = $4,000

APR = 5%

Period of investment = 1 year

Interest earned = $200 ($4,000 x 5% x 1)

Interest earned expressed as hours = 20 hours ($200/$10)

Thus, the investor, who earns $10 per hour, earns 20 hours in interest by investing $4,000 at 5% in a year.

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Nicoletta can withdraw $55 from her savings account for 24 weeks until the balance reaches $0 .

Nicoletta sells jewelry during summer vacation .

From the table we can gather the following information:

Expenses = $ 26

Revenue = $132

Profit = $(132-26) = $ 106

Now she sells for 10 weeks.

profit each week  = $ 106

Total profit over 10 weeks = $ 106 × 10 = $ 1060

Money deposited in the account after 10 weeks = $ 1060

Money originally in the account = $260

Total amount of money in savings account

= $ 1060 + $260

= $ 1320

She withdraws 55 each week.

Number of weeks it will sustain at that rate = 1320 / 55 =24

Hence the savings account will have 0 after 24 weeks.

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Answer:

$131.40

Step-by-step explanation:

1. First you do 20% of 150 which is 120

2. Second you take the 120 and add the sales tax and calculate it out nad you end up with 131.40

Answer:

Geometric and the ratio is 1/3

It is geometric because you are multiplying to get to the next number in the sequence. in order to get to the next number you have to multiply by 1/3. 36*1/3=12. 12*1/3=4.

AS per the concept of trigonometric ratios for theta, the value of cos θ = 2√6/5 , tan θ = -1/2√6 , cosec θ = -5, sec θ = 5/2√6 and the value of cot θ = -2√6.

Trigonometric ratio:

In math, there are six trigonometric ratios they are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given,

The angle theta is in standard position with a terminal arm in quadrant IV. If sin θ =-1/5.

Now, we have to find the remaining five trigonometric ratio of the θ.

As we know that,

sin²θ + cos²θ =  1

Here we know that value of sin θ = -1/5, then the value of cos θ is calculated as,

=> (-1/5)² + cos² θ = 1

=> 1/25 + cos² θ = 1

=> cos² θ = 1 - 1/25

=> cosθ = √24/25

=> cos θ = 2√6/5

So, the value of tan θ = -1/2√6

Then the value of cosec θ = -5, sec θ = 5/2√6 and the value of cot θ = -2√6.

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Because a 270° rotation around the origin and a subsequent reflection over the x-axis translate ABC onto LMN, the figures are congruent.

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and form. Congruent refers to something that is "absolutely equal" in terms of size and form. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, then stack them on top of one another. In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

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For part A, first of all, you need to multiply both sides by 2.

4x - 1 = 2x + 14

Then, you need to add 2 to both sides.

4x = 2x + 15

Now, you need to subtract 2x from both sides.

2x = 15

Finally, you need to divide both sides by 2.

x = 7.5

So the answer to part A is 7.5

Now for part B.

First of all, you need to multiply both sides by 3.

9x + 6 = 2x + 13

Next, you need to subtract 6 from both sides.

9x = 2x + 7

Now, you need to subtract 2x from both sides.

7x = 7

Finally, you need to divide both sides by 7.

x = 1

So the answer to part B is 1

[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=4 \end{cases}\implies S=180(4-2)\implies S=360 \\\\[-0.35em] ~\dotfill\\\\ 90+90+x+(x-50)~~ = ~~360\implies 2x+130=360\implies 2x=230 \\\\\\ x=\cfrac{230}{2}\implies x=115\hspace{12em}\stackrel{x}{115^o}\qquad \stackrel{x-50}{65^o}[/tex]

To hypothesize that autism is a quantitative trait normally distributed in the population.

Hypothesis that autism is a quantitative trait normally distributed in the population is actually showing the assumption that we can calculate the level of autism in the population in numbers as well as it is present in everyone at some level just like weight.

There are two types of data:

• Quantitative: Any information that can be counted is referred to as quantitative data and is given a numerical value. You can find out “how many,” “how much,” or “how often” using quantitative variables.

• Qualitative: Qualitative information is descriptive in character and communicated verbally as opposed to numerically.

Hence, here they are assuming that we can measure the level of autism in the population.

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Answer:

your teacher should help you

Step-by-step explanation:

becuase it sayi Mrs.lewis

Lines 5(x+3) and y=5x+1 both are parallel.

What are parallel lines?

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Here, we have

Given equations = 5(x+3) and y=5x+1

Now we write both equations in standard form and we get

y = 5x + 3,

y = 5x + 1

Then, we compare the slopes of both equations and we get

Slope = 5

Hence, the slope of both equations is the same. so, the given lines are parallel.

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For the function F(x, y) = x³ + y³ - 3x² - 6y² - 9x ,  the local maximum value is 5 and the local minimum value is -3. The graph is discontinuous, so we cannot locate the saddle points.

In mathematics, a saddle point or minimax point is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions are all zero (a critical point), but which is not a local extremum of the function.

We have the following function -

F(x, y) = x³ + y³ - 3x² - 6y² - 9x

We will plot the 3 dimensional graph of this function. From the model it can be seen that, the local maximum value is 5 and the local minimum value is -3. Since the graph is discontinuous, we cannot locate the saddle points.

Therefore, for the function F(x, y) = x³ + y³ - 3x² - 6y² - 9x ,  the local maximum value is 5 and the local minimum value is -3. The graph is discontinuous, so we cannot locate the saddle points.

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Answer 13:1 The ratio stays the same in this problem is says so it will always be that. 169/13=13 13/13=1 That means there's 13 wins for every 1 loss.

Step-by-step explanation:

The table that accurately identifies the three points of the graph is table 1.

A proportional relationships are relationships between two variables where their ratios are equivalent.

The variables are time in hours and earnings.

Therefore,

y = kx

where

A student earns $8.50 per hour working in a library.

Hence,

y = 8.50x

when x = 2

y = 8.50(2) = 17 dollar

when x = 4

y = 8.50(4) = 34 dollar

when x = 8

y = 8.50(8) =  68 dollar

Therefore, the table that reflects the graph is table 1.

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A water park water ride would pump 4,00,000 gallon of water in 100 minutes.

In this question, we have been given a water park water ride pump 8000 gallon of water every 2 minute.

So, the amount of water pumped in 1 minute would be,

8000/2 = 4000 gallon

We need to find the amount of water the ride would pump in 100 minute.

By unitary method the required amount would be,

A = 4000 * 100

A = 4,00,000 gallon

Therefore, the ride would pump 4,00,000 gallon of water.

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Answer:

- X - 2x = 2x

- X 5y = -5y

(5x - 8y) (2x - 5y)

5x X 2x = 10x^2

5x X -5y = -25xy

-8y X 2x = -16xy

-8y X -5y = 40y^2

therefore

= 10x^2 + 40y^2 -25xy -16xy

The population after 50 years will be 26,765,774.

Percentage is a measurement to find value of given number out of hundred.

Given that,

The current population of Canada=35,687,699.

As per given condition the population is decreasing 0.5% per year,

So after 50 year the population will decrease =50×0.5%=25%

After 50 year the 25% population will decrease, and 75% will remain.

The remaining population = 35,687,699×75/100=26,765,774.

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Answer: y^2 - z^2 + 2xy - 2xz

Step-by-step explanation:

(x+y)^2 - (x+z)^2

(x^2 + 2xy + y^2) - (x^2 + 2xz + z^2)

x^2 + 2xy + y^2 - x^2 - 2xz - z^2

x^2 - x^2 + 2xy - 2xz + y^2 - z^2

y^2 - z^2 + 2xy - 2xz

Answer:

0.8x – 12

Step-by-step explanation:

The sale price is (x-15). After the 20% discount, the final price is 0.80 times the sale price is final price = 0.80×(x -15) = 0.80x -12

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The age of Flo based on the ratio is 21 years.

From the information illustrated, the ages of Michael, Flo, Ella and Arlo add up to 60 years and the ratio of Michael's age to Flo's age to 3:7:6:4.

In this case, Flo is represented as 7 and the total ratio is (3+7+6+4) = 20

Therefore the age will be:

= 7/20 × Total age

= 7/20 × 60.

= 21

Flo is 21 years

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Answer:

$96 dollars in one year. 12 months in a year. and you get $96 in one year.

Step-by-step explanation:

I did it already in class.