Zoey and her children went into a grocery store where they sell apples for $2.25 each and bananas for $1.50 each. Zoey has $15 to spend and must buy a minimum of 7 apples and bananas altogether. Let x represents the number of apples purchased and y represents the number of bananas purchased so :

Zoey can buy ____ apples and _____bananas or

The measure of the angles of the cyclic quadrilateral are:

Arc PQ = 130

QR = 50°

Arc RS = 70°

∠PSQ = 65°

∠PSB = 65°

∠SBP = 80°

AQS = 30°

PS = 110°

From the figure, the arc PQ is subtended by the angle PAQ.

This means that:

PQ = ∠PAQ

Given that ∠PAQ = 130, it means that:

Arc PQ = 130

The measure of PSQ is then calculated using:

∠PSQ = 0.5 * Arc PQ ----- inscribed angle is half a subtended angle.

This gives: ∠PSQ = 0.5 * 130

∠PSQ = 65°

Hence, the measure of ∠PSQ is 65°

The measure of arc QR

A semicircle measures 180°

Thus:

QR + PQ = 180°

Thus, we get:

QR = 180° - PQ

Substitute 130° for PQ

QR = 180° - 130°

QR = 50°

Hence, the measure of QR is 50°

The measure of arc RS

The measure of arc RS is then calculated using:

∠RPS = 0.5 * Arc RS ----- inscribed angle is half a subtended angle.

Where ∠RPS = 35

So, we have:

35 = 0.5 * Arc RS

Multiply both sides by 2

Arc RS = 70°

The measure of angle AQS

In (a), we have:

∠PSQ = 65°

This means that:

∠PSQ = ∠PSB = 65°

So, we have:

∠PSB = 65°

Next, calculate SBP using:

∠SBP + ∠BPS + ∠PSB = 180° ---- sum of angles in a triangle.

So, we have:

∠SBP + 35 + 65 = 180°

∠SBP + 100 = 180

∠SBP = 80°

The measure of AQS is then calculated using:

AQS = AQB = 180 - (180 - SBP) - (180 - PAQ)

AQS = 180 - (180 - 80) - (180 - 130)

AQS = 30°

The measure of arc PS

A semicircle measures 180°

This means that:

PS + RS = 180°

This gives

PS = 180 - RS

RS = 70

Thus:

PS = 180 - 70

PS = 110°

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The length of the hypotenuse of a right triangle with legs of 6 and 10 is 12.2 to the nearest tenth.

To find the length of the hypotenuse, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. So, if the legs of the triangle are 6 and 10, then the square of the hypotenuse is equal to 6^2 + 10^2 = 136. Taking the square root of 136 gives us 11.6, which rounds to 12.2 to the nearest tenth.

Therefore, the length of the hypotenuse of a right triangle with legs of 6 and 10 is 12.2 to the nearest tenth.

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The length of the hypotenuse of a right triangle with legs of 6 and 10 is 12.2 to the nearest tenth.

To find the length of the hypotenuse, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. So, if the legs of the triangle are 6 and 10, then the square of the hypotenuse is equal to 6^2 + 10^2 = 136. Taking the square root of 136 gives us 11.6, which rounds to 12.2 to the nearest tenth.

Therefore, the length of the hypotenuse of a right triangle with legs of 6 and 10 is 12.2 to the nearest tenth.

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Answer:

20 percent

Step-by-step explanation:

If the fraction of self-employed to employed lawyers would be 1/5, then you would divide 1 by 5 which gives you .20 percent out of 1, equaling 20%

Answer:

n = 9

Step-by-step explanation:

5(n-3) = 30

Expand the brackets. (Multiply n by 5 then multiply -3 by 5.)

5n-15 = 30

Isolate 5n.

5n = 30+15

Evaluate.

5n = 45

Find n.

n = 45 ÷ 5

n = 9

Answer:

n = 9

Step-by-step explanation:

1) divide both sides by 5 to cancel it out

       (n-3=6)

2) add 3 to each side to cancel out the -3

       (n=9)

You could factor the 5 to get 5n-15=30 but dividing by 5 just makes the number easier

Answer:a)x=6,y=7

b) x=6,y=-1

c)x=-1/2 ,y=13/2

Step-by-step explanation:

Answer: 2.8 minutes

Step-by-step explanation:

If it takes 12.5 gallons per minutes to fill the reservoir, then we have to divide 35 and 12.5.

35 ÷ 12.5 = 2.8 minutes

Since it takes 12.5 gallons per minutes to fill the reservoir, it will take 2.8 minutes to fill the reservoir.

hope this helps!

Answer:

A submarine descends at a rate of 2.6 kilometers per hour.

If the ocean floor is 6.24 kilometers below sea level, how long will it take the submarine to descend to the ocean floor?

Round your answer to the nearest tenth. Enter your answer in the box.

answer:

2.4

hours

Step-by-step explanation:

The overall average of the 9 numbers is 13 and the average of the last 4 numbers is 20.

To find the overall average of the 9 numbers, we can use the formula for the weighted average:

overall average = (sum of all numbers) / (number of numbers)

We know that the average of the first 5 numbers is 10, so their sum is 5 * 10 = 50. We also know that the average of the next 4 numbers is 15, so their sum is 4 * 15 = 60. The sum of all 9 numbers is then 50 + 60 = 110. Therefore, the overall average is:

overall average = 110 / 9 ≈ 13

To find the average of the last 4 numbers, we can subtract the sum of the first 5 numbers from the sum of all 9 numbers, and then divide by 4:

average of last 4 numbers = (sum of all 9 numbers - sum of first 5 numbers) / 4

= (110 - 50) / 4

= 60 / 4

= 15

Therefore, the average of the last 4 numbers is 15, which is option C.

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Answer: 4/10, or 40%, or 24

Step-by-step explanation: 2/10+4/10 is 6/10, which is 60-36, which is 24. This means the remaining 24 pies are neither apple or peach.

Number of pies that were neither apple nor peach = 24

Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given,

Total pies sold last month = 60

No. of apple pies = 2/10 of 60

                             = 2 × 60/10

                             = 12

No. of peach pies = 4/10 of 60

                              = 4 × 60/10

                              = 24

Pies that are neither apple nor peach pie

= Total pies - (No. of apple pies + No. of peach pies)

= 60 - (12 + 24)

= 60 - 36

= 24

Hence, 24 pies are neither apple nor peach.

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You answer is going to be: 540

Answer: (n-2) * 180

Step-by-step explanation:

The formula for the sum of the interior angle measures of a polygon with n sides is (n - 2)180 degrees.

Any number that is 13 to Infinity

Any number greater then 12

Assume;

Given number = a

So,

Four times a number;

4 × a

4a

Greater then 48

So,

4a > 48

By solving inequality

a > 12

So,

Any number greater then 12 is the possible value

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The domain of the given function is equal to: {-4, 2, 6, 9}.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values or numbers to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.

Generally speaking, the horizontal extent of the graph of a function represents all domain values and they are read and written from the smallest to the largest numerical values, and from the left of a graph to the right.

By critically observing the given function, we can reasonably and logically deduce the following:

Domain = {-4, 2, 6, 9}.

Range = (-3, 1).

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The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26

To solve the quadratic equation f(x) = x² + 10x - 1

we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, a = 1, b = 10, and c = -1.

Substituting these values into the quadratic formula:

x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))

= (-10 ± √(100 + 4)) / 2

= (-10 ± √104) / 2

Simplifying further:

x = (-10 ± 2√26) / 2

= -5 ± √26

Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:

x = -5 + √26 and x = -5 - √26

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Answer:

1) f(x) = 500·(1.1)ˣ

2) f(x) = 500·(0.9)ˣ

Step-by-step explanation:

1) The given values in the table are;

x; 0, 1, 2, 3

f(x); 500, 550, 605, 665.5

By observation, we have that each two subsequent term of f(x) have a common ratio, given as follows;

550/500 = 11/10 = 1.1 = 605/550 = 665.5/605

From which we have;

The values of f(x) are in a geometric progression

The nth of a geometric progression = a·rⁿ

The common ratio, r = 1.1

The first term, a = 500

The number of terms, n = x

Therefore, xth term, f(x) = a×(r)ˣ

Substituting the values gives;

The equation for the data shown in the table is f(x) = 500·(1.1)ˣ

2) The given table of values is presented as follows;

x; 0, 1, 2, 3

f(x); 500, 450, 405, 364.5

The common ratio, f(xₙ)/f(xₙ₋₁) = 450/500 = 9/10 = 0.9 = 405/450 = 364.5/405

The terms of f(x) are in a geometric progression

The first term. a = 500

The common ratio, r = 9/10 = 0.9

The nth term of a geometric progression, G.P. = a·rⁿ

By plugging in the values of 'a', 'r', and 'n', the value of the xth term, f(x), therefore;

The equation for the data shown in the table is f(x) = 500·(0.9)ˣ.

All of the translations describes the same inclination for a straight line because the they all have a pitch (slope) of 2/5.

Mathematically, the pitch (slope) of a geometric figure or straight line can be calculated by using this formula:

Pitch (slope) = V/H

Where:

Based on the information provided, the pitch (slope) of this line is given by:

Pitch (slope) = Up 2/Right 5 = 2/5

Pitch (slope) = Up 4/Right 10 = 2/5

Pitch (slope) = Down 42/Left 5 = 2/5

Pitch (slope) = Up 1/Right 5/2 = 2/5

Pitch (slope) = Down 2/5/Left 1 = 2/5

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The surface area of the cuboid is 3.286 cm²

A cuboid is a solid shape or a three-dimensional shape.

Surface area is the amount of space covering the outside of a three-dimensional shape.

The surface area of a cuboid is expressed as;

SA = 2( lb + lh + bh)

length = 1 2/5 = 7/5

breadth = 5/8

height = 3/8

lb = 7/5 × 5/8 = 7/8

bh = 5/8 × 3/8 = 15/64

lh = 7/5 × 3/8 = 21/40

surface area =2( 7/8 + 15/64+21/40)

= 2( 0.875 + 0.234 + 0.525)

= 2( 1.634)

= 3.268 cm²

The surface area of the cuboid is 3.268 cm²

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Answer: 11 ft.

Step-by-step explanation:

Start by listing the variables that you have.

-Total Area=1,848; lot a 33ft wide, 42ft long; lot b xft wide, 42ft long.

- so, our equation looks like 1,848=(33x42)+(42x)

-multiply 33x42=1,386

-subtract 1,386 from both sides to get 462.

-equation should look like 462=42x

-divide by 42 to 11

Answer:

d. 16 feet

Step-by-step explanation:

x² + 12² = 20²

x² + 144 = 400

x² + 144 - 144 = 400 - 144

x² = 256

√x² = √256

x = 16

A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold

Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.

Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.

If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.

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Answer:

3

Step-by-step explanation:

Answer:

0,1,2,3,4

Step-by-step explanation:

trustttttt meee

The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.

Calculation for the average of a set of numbers, follow these steps:

Add up all the values in the data set.

Division of the sum by the total number of values.

For example, consider the following data set: 10, 15, 20, 25, 30.

Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.

Divide the sum by the total number of values: 100 / 5 = 20.

In this case, the average of the data set is 20.

The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.

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Answer:

\(33.72 \: square \: yards \)

Step-by-step explanation:

\(4 \times 10 = 40 \\ {2}^{2} \pi \div 2 = 6.28 \\ 40 - 6.28 = 33.72\)

Answer:

A: True

Step-by-step explanation:

Answer:

\(5a^2-8a\)

Step-by-step explanation:

\(6(1-a^2)-2(3-a+2a^2)+5(-2a+3a^2)\)

\((6)(1)+(6)(-a^2)+(-2)(3)+(-2)(-a)+(-2)(2a^2)+(5)(-2a)+(5)(3a^2)\)

\(6+-6a^2+-6+2a+-4a^2+-10a+15a^2\)

\((-6a^2+-4a^2+15a^2)+(2a+-10a)+(6+-6)\)

\(5a^2-8a\)

The value of the tip she left is $42.53.

Sales tax is a compulsory amount levied by the government on the sales price of a good or service. Sales price increase the cost of a good or service.

The first step is to determine the total bill after the sales tax has been included.

Total bill after sales tax = (1 + percent sales tax/100) x total bill

(1 + 7/100) x $265

(1 + 0.07) x $265

1.07 x $265

= $283.55

Now, multiply the total bill after sales tax by the percentage value of the tip.

Value of the tip = 15% x $283.55

0.15 x $283.55 = $42.53

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Answer: 24,000 feet

Step-by-step explanation:

Well there is 60 minutes in an hour. So every 60 minutes you add by 6000

and 6000 x 4= 2400

:)

Answer:

1/3

Step-by-step explanation:

12/36 = 6/18 = 3/9 = 1/3