Compare the value of the expressions

Answer:

7850

Step-by-step explanation:

Answer:

7850 cm squared

Step-by-step explanation:

The formula for area of a circle is 3.14(r^2)

The radius is 50 cm.

3.14(50^2)

7850

Answer:

1 4/7

Step-by-step explanation:

11/7

7/7=1

11-7=4

1 4/7

Answer: 1 4/7

Step-by-step explanation:

When converting from an improper fraction to a mixed number, find the largest multiple of the bottom number you can have without going over the top number, and then put that as a whole number. Then, subtract that multiple from the top number, and put the difference as the new top number.

Since 7 goes into 11 one time, and has a remainder of 4, the mixed number is 1 and 4/7.

The green triangle has an area of 6 sq units. The purple triangle has an area of 6 sq units. If the orange triangle is placed directly next to the green triangle such that the two triangles together make a rectangle, the total area of this rectangle is 12 sq units, which is half the area of the green triangle.

We know that the area of a triangle is given by

1/2 X Base X height

Now, for the green triangle, the area  will be

1/2 X (5 - 1) X (9 - 6)

= 1/2 X 4 X 3 sq units

= 6 sq units

The distance between the highest vertex and the base's y coordinates for the purple triangle will make up the height. hence we get

1/2 X (9 - 5) X (4 - 1)

= 1/2 X 4 X 3 sq units

= 6 sq units

Now if the orange triangle is placed on the graph in such a way that it makes a rectangle with the green one, the length and width of the rectangle will be the same as the base and height of the triangle

Hence the area of the rectangle will be

4 X 3 sq units

= 12 sq units

We can see that it is double the area of the purple triangle.

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Answer:

B

Step-by-step explanation:

The required fraction lies between the numbers 2/5 and 7/8 is 3/4. Option B is correct.

Given that,
It is to be identified, which number lies between fractions 2/5 and 3/8.

Fraction is defined as the number of compositions that constitute the Whole.

Here,
2 / 5 = 0.4 and 7 / 8 = 0.875

Now,
A. 15 / 16 = 0.9375 which exceed 0.875, so it is not correct option.
B. 3/4 = 0.74 which lies between 2/5 and 7 / 8, so It is the correct option.
C.  3/8 = 0.375 which exceeds 2/5, so it is not correct option.
D. 1 /3 = 0.34 which exceeds 2/5, so it is not the correct option.

Thus, the required fraction lies between the numbers 2/5 and 7/8 is 3/4. Option B is correct.

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By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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Answer:

4.5 hours

Step-by-step explanation:

fbdjdbercyTxxivdu

Answer:

Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.

Answer:

Step-by-step explanation:

1.17/10

2.6/5

3.11/5

answers:

170% as a fraction is \(\frac{17}{10}\) or 1 \(\frac{7}{10}\)

120% as a fraction is \(\frac{6}{5}\) or 1 \(\frac{1}{5}\)

220% as a fraction is \(\frac{11}{5}\) or 2 \(\frac{1}{5}\)

hope this helps! best of luck <3

Answer:

200

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(120^{2}\) + \(160^{2}\) = \(c^{2}\)

14400 + 25600 = \(c^{2}\)

40000 = \(c^{2}\)

\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)

200 = c

Jesus love you.

The given quadrilaterals, 1 and 2,  are parallelograms because the pair of opposite sides are parallel and the other pairs are congruent.

3. According to Theorem 7.9, quadrilateral ABCD is a parallelogram.

4. According to Theorem 7.12, quadrilateral PQRS is a parallelogram.

3. Quadrilateral ABCD with vertices A(0,0), B(7,1), C(5,6), D(-2,5), and Theorem 7.9:

Theorem 7.9 states that if the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Using the distance formula, we can calculate the lengths of the sides of quadrilateral ABCD:

AB = √((7 - 0)² + (1 - 0)²) = √50

BC = √((5 - 7)² + (6 - 1)²) = √29

CD = √((-2 - 5)² + (5 - 6)²) =√50

DA = √((0 - (-2))² + (0 - 5)²) = √29

We can see that AB = CD and BC = DA, indicating that the opposite sides are congruent.

Quadrilateral PQRS with vertices P(-2,0), Q(3,1), R(4,4), S(-1,3), and Theorem 7.12:

Theorem 7.12 states that if both pairs of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.

Using the slope formula, we can calculate the slopes of the sides of quadrilateral PQRS:

Slope of PQ = (1 - 0) / (3 - (-2)) = 1/5

Slope of RS = (4 - 3) / (4 - (-1)) = 1/5

Slope of QR = (4 - 1) / (4 - 3) = 3

Slope of SP = (3 - 0) / (-1 - (-2)) = 3

The lengths of opposite sides can be calculated using the distance formula:

PQ = √((3 - (-2))² + (1 - 0)²) = √(25 + 1) = √26

RS = √((4 - 4)² + (4 - 1)²) = √(9) = 3

QR = √((4 - 3)² + (4 - 1)²) = √(1 + 9) = √10

SP = √((-1 - (-2))² + (3 - 0)²) = √(1 + 9) = √10

We can see that PQ = RS and QR = SP, indicate that the opposite sides are parallel and congruent.

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F or G = { 5,6,7,8,9,10,11,12 } is probability  P(F or G) using the general addition rule.

What are examples and probability?

The likelihood that something will happen is called the probability. the total number of conceivable outcomes.

                                   For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail). P(heads) = 12 is what we write.  the forerunners of the contemporary mathematical theory of probability (for example the "problem of points").

S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},

event F={5, 6, 7, 8, 9}​, and

event G={9, 10, 11, 12}.

F or G = { 5,6,7,8,9,10,11,12 }

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4+1+1=6

Step-by-step explanation:

she already has 4 necklaces so than she got 2 for a dollar so that equals 6.

Answer:

100

Step-by-step explanation:

1.) Plug in the values of x and y into the equation

10(20/2)

2.) Divide 20 by 2

10(10)

3.) Multiply 10 by 10

100

Answer:

-18 and -27 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Slope of line that is perpendicular to the  line y = 2x - 6,

\(m=-\dfrac{1}{2}\)

Line passes through (1,5).

Equation of line will be,

\(y-5=m(x-1)\\y-5=-1/2{x-1}\\2y-10=-x+1\\2y=11-x\)

Answer:

I hope this help you!!! if it doesn't im sorry

The correct option is the Measurement and Comparison strand.

When families play "fill and dump" activities and explore large and small objects with children, they are likely extending learning in the Measurement and Comparison strand of the mathematics curriculum. This strand involves understanding and using concepts of size, weight, capacity, and length to compare, measure, and describe objects and events. Activities like filling and dumping containers of different sizes and comparing the quantities of objects can help children develop their understanding of these concepts and their ability to compare and measure objects.

The Number and Quantity strand involves understanding and using numbers and number concepts to count, compare, and describe quantities. The Geometry and Spatial Thinking strand involves understanding and using geometric concepts and spatial reasoning to describe, analyze, and compare shapes and spatial relationships. The Mathematical Reasoning strand involves using logical thinking and problem-solving skills to make sense of mathematical ideas and solve problems. All of these strands are important for children's overall mathematical development and can be supported through a variety of activities and experiences.

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

The probability here is 62%

The probability that the newspaper's sample will lead it to predict defeat is approximately 0.0495, or about 5%.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Let X be the number of voters in the sample who do not support the budget (i.e., who will vote against it). Then X follows a binomial distribution with parameters n = 417 (the sample size) and p = 1 - 0.54 = 0.46 (the probability that a voter does not support the budget).

The probability that the sample will lead the newspaper to predict defeat is the probability that X is greater than half the sample size (since the budget will be defeated if more than half of the voters in the population vote against it). In other words, we need to calculate:

P(X > 0.5n) = P(X > 0.5 × 417) = P(X > 208.5)

We can use a normal approximation to the binomial distribution to estimate this probability. The mean of the binomial distribution is np = 417 × 0.46 = 191.82, and the standard deviation is √(np(1-p)) = √(417 × 0.46 × 0.54) = 10.04.

To apply the normal approximation, we standardize the random variable X as follows:

Z = (X - np) / √(np(1-p))

Then we can use a standard normal distribution table or calculator to find the probability:

P(X > 208.5) = P(Z > (208.5 - 191.82) / 10.04) = P(Z > 1.65) ≈ 0.0495

Therefore, the probability that the newspaper's sample will lead it to predict defeat is approximately 0.0495, or about 5%.

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Answer:

112 gallons

Step-by-step explanation:

Step 1:

3 × 8        Equation for finding how many hours in the 3 days

Step 2:

24 hours    Multiply

Step 3:

14 ÷ 3       Equation to find how many gallons per hour

Step 4:

4.66666666667    Divide

Step 5:

4.66666666667 × 24      Equation

Answer:

112     Multiply

Hope This Helps :)

One artist not working scenario helps determine domain and range. It shows the max hours one needs to work when the other is not working. C' represents Claude's work hours, and P represents Philipe's work hours on the vertical axis.

The scenario where one of the artists is not working is helpful in finding the domain and range of their work hours. This scenario shows the maximum number of hours one artist would need to work when the other artist is not working. For instance, if Philipe is not working, Claude would have to work for 15 hours (60 caricatures ÷ 4 caricatures per hour) to meet their goal. Similarly, if Claude is not working, Philipe would have to work for 20 hours (60 caricatures ÷ 3 caricatures per hour) to meet their goal. On the horizontal axis, we can represent the hours that Claude works (C'), and on the vertical axis, we can represent the hours that Philipe works (P).

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Turn the percentage into a decimal.

24.10 / 100 = 0.241

Divide.

195.21 / 0.241 = 810

Therefore, 195.21 is 24.10% of 810

Best of Luck!

Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

The polar coordinates of the point (-9, 4) are approximately (9.85, -24.04°).

To find the polar coordinates (r,θ) corresponding to the rectangular coordinates (-9, 4), we can use the following formulas:

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

θ = arctan(y/x)

Substituting the values x = -9 and y = 4, we get:

r = sqrt((-9)^2 + 4^2)

= sqrt(81 + 16)

= sqrt(97) ≈ 9.85

θ = arctan(4/-9)

= -0.42 radians

≈ -24.04 degrees

Therefore, the polar coordinates of the point (-9, 4) are approximately (9.85, -24.04°).

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Answer:

Step-by-step explanation:

Solve the System of Equations

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−1,7)

Equation Form:

x=−1,y=7

Use a table to find the product of the expressions.

This is the way tha table must be filled:

Now solve the exercise using the table.

The answer is:

The correct option is B.

Answer:

a = –2, b = 4, c = – 3

Step-by-step explanation:

We are given the following quadratic equation in the question:

-2x^2 + 4x - 3 = 0−2x

2

+4x−3=0

General form of quadratic equation:

ax^2 + bx + c = 0ax

2

+bx+c=0

Comparing the given equation to general quadratic equation, we get,

a = -2, b = 4, c = -3a=−2,b=4,c=−3

Thus, the correct answer is

Option D) a = –2, b = 4, c = – 3

The values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3

The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given is a quadratic equation -2x²+4x-3 = 0, we need to find the values of a, b, and c in the given quadratic equation.

The standard equation of a quadratic equation is ax²+bx+c = 0,

Comparing the given equation with the standard equation,

We get, a = -2, b = 4, c = -3

Hence, the values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3

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Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.

There is a ratio issue here.

As X is to three, 3 is to 4.

3 : 4 :: X : 3

To eliminate the fractions, multiply each integer in the ratio by 12.

9 : 12 :: 9X : 12

This is a portion of what is

9 / 12 = 9X / 12

to obtain, cross-multiply.

9 / 12 = 3 teaspoons of salt,

Check: 3 cup of flour yields 3 cups, which is a 4x increase.

The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

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Work Shown:

distance = rate*time

rate = distance/time

rate = (2580 miles)/(40 hours)

rate = (2580/40) mph

rate = 64.5 mph

The truck's speed is 64.5 mph, which means it travels 64.5 miles for each hour.

Using the length formula we know that the length of the given arc is 30.144 miles.

In mathematics, an arc is a portion of the boundary of a circle or curve. It is sometimes referred to as an open curve.

The measurement around a circle that determines its edge is called the circumference, often known as the perimeter.

So, the formula to find the length of the arc is:

Length of an Arc = θ × r

Now, insert values and calculate as follows:

Length of an Arc = θ × r

Length of an Arc = 4π/5 × 12

Length of an Arc = 4π/5 × 12

Length of an Arc = 12.56/5 * 12

Length of an Arc = 2.512 * 12

Length of an Arc =  30.144

Therefore, using the length formula we know that the length of the given arc is 30.144 miles.

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