7. Mr. and Mrs. Quigley just moved into a new home with a lot of land. They need to plant grass seed The problem is that they are not sure how to figure the new amount that they need. At their old house they knew that the lawn was 10 ft by 20 ft. and needed 5 pounds of seed. Their new lawn is 100 # by 50 ft. How will knowing the amount of seed needed from their old house help them with Buying seed for the new lawn? How much will they need? Show all work​

A possible length, in inches, of the third side is equal to 4 inches.

In Euclidean geometry, the Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than or equal (≥) to the third side of the triangle.

Mathematically, the Triangle Inequality Theorem is represented by this mathematical expression:

b - c < n < b + c

Where:

n, b, and c represent the side lengths of this triangle.

By applying the Triangle Inequality Theorem, the possible side lengths of the triangle's third side is given by:

b - c < n < b + c

7 - 4 < n < 7 + 4

3 < n < 11.

Therefore, n could be 4, 5, 6, 7, 8, 9, and 10 inches.

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The height of the attic in Mr. Lee's house is 6 1/3

An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.

Mr. Lee's house has two stories and an attic. Therefore:

Height of entire house = height of first floor + height of second floor + height of attic

The first floor is 9½ feet high, the second floor is 8 3/4 feet high, and the entire house is 24 7/12 feet high

9 1/2 = 19/2; 8 3/4 = 27/4; 24 7/12 = 295/12. Let x represent the height of the attic. Substituting:

x + 19/2 + 35/4 = 295/12

x = 19/3

x = 6 1/3

The height of the attic is 6 1/3

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Answer:

x = 24°

Step-by-step explanation:

See the attached worksheet.   Let a and b stand for the two unknown angales as shown on the worksheet.  Since the sum of angles across a straight line is 180°, we can express the two angles as:

a = 180°-x, and

b = 180° - 111° or b = 69°

The sum of the interior angles of a quadrilateral is 360°.  Set the four angles equal to 360° and solve for x.

x = 24°

The value of x is 20 and the property is similar triangle

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Since ∆ ADC and IJH are similar, the ratio of their corresponding sides are equal.

Therefore,1.2/12 = 2/x

1.2x= 12×2

x = 24/1.2

x = 20

Therefore the value of x is 20

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11th term of the given geometric sequence is [tex]a_{n} = 7(5^{n-1})[/tex]

In a Geometric Sequence each term is found by multiplying the previous term by a constant.

Given geometric sequence = 7,35,175

Nth term of the geometric sequence [tex]a_{n}=a_{1} .r^{n-1}[/tex]

[tex]a_{1}=7[/tex]

[tex]r= \frac{35}{7} =5[/tex]

Nth term of the geometric sequence

[tex]a_{n} = 7(5^{n-1})[/tex]

Hence, the Nth term of the given geometric sequence is  [tex]a_{n} = 7(5^{n-1})[/tex]

The required complete table of heights of teachers is shown in the image attached.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
To calculate the height without heels, we need to subtract 4% of the height with heels from the height with heels. This can be done by multiplying the height with heels by 0.96 (which is equivalent to subtracting 4%):

Height without the heels = Height with the heels x 0.96

Using this formula, we can fill in the chart for each teacher.

Thus, the required complete table has been shown in the image attached.

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Answer:10 or 25

Step-by-step explanation:

just add both  or times them

5+5 or 5x5

Answer:

25

Step-by-step explanation:

The equation of a circle centered at the origin with radius r is given by:

(x^2) + (y^2) = r^2

In this case, the circle is centered at the origin and has a radius of 5, so the equation is:

x^2 + y^2 = 25

Therefore, the equation of the circle is: x^2 + y^2 = 25

Answer:

Step-by-step explanation:

Rf values (retention factor values) are used in thin layer chromatography (TLC) to measure the separation of components in a mixture. They are calculated as follows:

Rf = (distance traveled by the solute) / (distance traveled by the solvent)

The distance traveled by the solute is measured from the origin (the spot where the sample was applied) to the final position of the solute on the TLC plate. The distance traveled by the solvent is measured from the origin to the solvent front (the point where the solvent stops moving up the plate).

It is important to note that Rf values are unique to each solute and are dependent on the solvent used, the type of TLC plate, and the conditions of the experiment (such as the temperature and humidity). To ensure accurate comparison of Rf values, it is necessary to standardize the conditions of the experiment.

Calculating Rf values is a crucial step in the interpretation of TLC data, as it allows for the identification of the components of a mixture based on the unique Rf values of each solute.

Rafael will take 75 minutes to run 10 miles at the same rate.

Solution:

We know that Rafael can run 4 miles in 30 minutes.

So, we can find his pace, as follows:

30 minutes/ 4 miles = 7.5 minutes per mile.

So, for 10 miles he will take 7.5* 10 = 75 minutes.

Hence, it will take Rafael 75 minutes to run 10 miles.

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Algebraic expression to represent the given situation would be, P = 2N - 7

What is algebraic expression?

When we utilize numbers and words to solve a mathematical problem, we are using algebraic expressions.

Let P represent the number of pennies in Greg's pocket.

We know that the number of pennies is 7 less than twice the number of nickels, which can be written as:

P = 2N - 7

This expression represents the number of pennies in terms of the number of nickels.

Therefore, Algebraic expression to represent the given situation would be, P = 2N - 7

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It will take 15 revolutions per minute.

What is the unit rate?

An item's unit rate is its price for one of them. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.

Here, we have

Given: a wheel for a wheel of winning game makes one revolution in 4 seconds.

Take a time for 1 revolution = 4 seconds

Assume that the unit rate in terms of revolutions per minute is x.

1 rev/4 second = x rev/60 second

4x = 60

x = 15

Hence, it will take 15 revolutions per minute.

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Answer:

a ) one by forty fourth

Step-by-step explanation:

1/11 ÷ 4

= 1/11 x 1/4

= 1/44

therefore, the answer is one by forty fourth

Hope it's helpful..

Answer: 7:5

Step-by-step explanation:

Answer:

Step-by-step explanation: 32 because 9 x4 lol

The number of mice needed is given as follows:

a) 10 snakes: 23 mice.

b) 6 snakes: 15 mice.

c) x snakes: (3 + 2x) mice.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

For every feeding, she needs three mice and an additional two mice for each snake, hence the slope and the intercept of the function are given as follows:

m = 2, b = 3.

The function is then defined as follows:

y = 2x + 3.

For 10 snakes, the number of mice is given as follows:

y = 2(10) + 3

y = 23 mice.

For 6 snakes, the number of mice is given as follows:

y = 2(6) + 3

y = 15 mice.

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The value of x is 18.

The value of y is 15.6.

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.

We have,

From the figure,

Sin 30 = 9/x

1/2 = 9/x

x = 9 x 2

x = 18

Now,

Using the Pythagorean theorem.

x² = 9² + y²

18² = 81 + y²

y² = 325 - 81

y = √244

y = 15.6

Thus,

x = 18

y = 15.6

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The apartment can accommodate 24 people if each person requires 5 cubic meters of air space.

Solution:

Given,

Dimension of apartment

l = 8m

b = 5m

h = 3m

So, the volume of the apartment will be,

l*b*h = 8*5*3 = 120 cubic meters

Each person requires 5 cubic meters of air space,

Hence, the total number of persons = 120/5 = 24

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Answer:

The number of large bars of chocolate sold is:

1/4 x 208 = 52

The number of small bars of chocolate sold is:

208 - 52 = 156

The total amount of money earned from selling the large bars of chocolate is:

52 x e1 = e52

The total amount of money earned from selling the small bars of chocolate is:

156 x 60p = £93.60

To convert e52 to pounds, we need to multiply by the exchange rate. Let's assume that the exchange rate is £1 = e1.20.

So, e52 = £52 x 1.20 = £62.40

Therefore, the total amount of money earned from selling all 208 bars of chocolate is: £62.40 + £93.60 = £156

The closet square inch that is needed to cover the cuboid is 208 inches ( option A)

A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges.

The surface area of cuboid is given as;

SA = 2(lb+lh+bh)

lb = 33/4 × 4 = 33 in

lh = 23/4 × 4 = 23 in

bh = 23/4 × 33/4 = 759/16

SA = 2( 23+33+759/16)

SA = 46+66+47.44

SA = 207 in

therefore the closet square inches is 208 in²

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Answer: 9/16

Step-by-step explanation: Also known as (3/4)^2

1. 3x3/4x4

2. 9/4x4

3. 9/16

You can't simplify anymore because it is in the simplest form already.

Answer:

B.

D.

Step-by-step explanation:

B is actually 141, not 14.1

(204 plus 98) is more than 250.7

This means that multiplying it by 8.3 would not even make it near 250.7

It would actually be 2506.6

Answer: Your answers are B and D.

Answer:

4 + 0.2 + 0.05

Step-by-step explanation:

The slope of a horizontal line perpendicular to a horizontal line is infinity or undefined.

The slope of a line is the that of the inclination that is makes with a horizontal line.

So, the slope of horizontal line is 1 because the value of tam(0 degrees) is also 1.

A line that is perpendicular to the horizontal line will have a the value of angle to be 90 degrees and we know that,

tan (90 degrees) = undefined/infinity

So, here we are concluding that the slope of any line that is being lying perpendicularly on any horizontally lying line is infinity or undefined.

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An explicit formula in slope intercept form for the given expression is aₙ = 5n - 8.

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Based on the information provided above, we can logically deduce that an equation in slope-intercept form that models the situation is given by:

aₙ = -3 + 5(n - 1)

aₙ = -3 + 5n - 5

aₙ = 5n - 8

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From the given data by doing unit conversion, 250 mL is approximately equal to 8.4535 fluid ounces.

Unit conversion is the process of converting a given quantity from one unit of measurement to another.

To convert milliliters (mL) to fluid ounces (fl oz), you can use the following conversion factor:

1 mL = 0.033814 fl oz

To convert, simply multiply the number of milliliters by 0.033814 to get the equivalent volume in fluid ounces.

For example, if you want to convert 250 mL to fluid ounces, you can use the conversion factor as follows:

250 mL × 0.033814 fl oz/mL = 8.4535 fl oz (rounded to four decimal places)

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Answer:

Sarah must get between a 67 and 85.

Step-by-step explanation:

69 + 75 + 65 + 83 = 292

70 ≥ 1/8(292 + 4x) ≥ 79

70 ≥ 0.5x + 36.5 ≥ 79

67 ≥ x ≥ 85

my brain is playing not smart on me right now

A and B are independent events if, the probability of getting a red convertible is 0.10

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, in a video game, the probability of getting a red car is 0.25 (event A), and the probability of getting a convertible is 0.40 (event B).

We need to identify the condition for events A and event B being independent events.

We know that,

The events in probability two are independent if event one does not affect the other one.

The formula for independent events =

P(A∩B) = P(A) x P(B).

So,

P(A) = 0.25 and P(B) = 0.40

P(A∩B) = P(A)xP(B)

= 0.25 x 0.4

= 0.10

Hence, the events A and B are independent events if, the probability of getting a red convertible is 0.10

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