The sum of three consecutive odd integers is -3−3. Find the value of the least of the three.

Answer:

For B the answer is (3,4)

and for C  I think the answer is \((5, -\frac{3}{2} )\)

Step-by-step explanation:

Answer:

the correct answer for 9 is A) N 3-

Step-by-step explanation:

The equation of a circle is the equation that represents the circle on the coordinate plane

The equation of the circle is \((x +3)^2 + (y -6)^2 = 13\)'

From the attached figure, we have the following parameters:

Start by calculating the radius r using the following distance formula

\(d = \sqrt{(x -a)^2 +(y - b)^2}\)

So, we have:

\(r = \sqrt{(0 --3)^2 +(8 - 6)^2}\)

\(r = \sqrt{9 +4}\)

\(r = \sqrt{13}\)

Square both sides

\(r^2 = 13\)

The equation of the circle is then calculated as:

\((x - a)^2 + (y -b)^2 = r^2\)

Substitute values for a and b

\((x - -3)^2 + (y -6)^2 = r^2\)

This gives

\((x +3)^2 + (y -6)^2 = r^2\)

Substitute \(r^2 = 13\)

\((x +3)^2 + (y -6)^2 = 13\)

Hence, the equation of the circle is \((x +3)^2 + (y -6)^2 = 13\)'

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The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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Answer:

The rate is 5 dollars per student.

Step-by-step explanation:

The rate per student can be found with \(\frac{dollars}{student}\):

\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)

The rate is 5 dollars per student.

The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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Answer:

Less than sign

Step-by-step explanation:

3/4 is greater than 3/5 because its 3 out of 4 making it 75% and 3/5 is 60%

Richard's income was in the 22% tax bracket.

The correct option is A.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Richard paid $10,455 in federal income tax.

Let Richard's tax bracket is 22%.

So,

10455 - 4543 = 5912

And so, n be the taxable amount.

Here, 22% over 39475 is 5912.

So, 5912 = (n - 39475)22/100

n = 66347

Now, Richard's income is $66347

Therefore, His tax rate is 22%.

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Answer:

4.64

Step-by-step explana

Answer:

464+236 is 700 so if this is money then she spent 4.64

Step-by-step explanation:

Answer:

80 square yards

Step-by-step explanation:

We know we have a width of 8 yards and a perimeter of 36.

how I figured it out was:

36=(8*2) * (x*2)

8*2=16

36-16=10

So now we know the length and width.

area of a rectangle is lw (length * width)

10*8=80.

Correct option is A, the iS point-slope form of the line is y+ 8 = -4(x-2). A straight line's equation can be written as both a point slope form and a slope intercept form.

A line equation written using a single line point and the slope of the line is the simplest definition of the term "point-slope form." The slope is expressed in point form as the ratio of the change in y values to the change in x values, also known as the rise over run (x, y).

The point slope form is useful when there is a slope and one or more points are present. Standard form is often easier to employ while doing algebraic computations. Depending on our needs or our level of expertise, we can alter the form of an equation. Both the point slope form and the slope intercept form can be used to express the equation for a straight line. The point slope form highlights any point on the line as well as the slope. The slope and y-intercept of a line are only shown in slope intercept form.

Given,

the slope of line = - 4 and point = (2,-8)

The equation of line = y - yo = m (x - xo)

where m = slope and x,y are coordinates

y + 8 = - 4 (x - 2)

y + 8 = - 4x + 8

y = - 4x

Therefore, the correct answer is option A, y+ 8 = -4(x-2)

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Answer:

32+q

Step-by-step explanation:

it doesn't ask for money

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) A system of equations has no solutions when the graphs of those equations do not intersect. If the equations are equations of a line, then the lines must be parallel in order for them not to intersect.

Any parallel line will do.

__

b) There is one solution when the graphs intersect in exactly one point.

Any line that crosses the one shown will do.

__

c) There are infinite solutions when the graphs describe the same curve.

A line overlapping the one shown is the one you want.

The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

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Answer:

251.327 km² (nearest thousandth)

Step-by-step explanation:

The formula for the surface area of a cylinder is:

\(\boxed{S.A. = 2\pi r^2 + 2\pi rh}\)

where r is the radius and h is the height of the cylinder.

Substitute the given values of r = 4 km and h = 6 km into the formula and solve:

\(\begin{aligned}S.A. &= 2\pi (4)^2 + 2\pi (4)(6)\\&=2\pi (16)+2 \pi (24)\\&=32 \pi+ 48 \pi\\&=80 \pi\\&=251.327412...\\&=251.327\; \sf km^2 \end{aligned}\)

Therefore, the surface area of the cylinder with height 6 km and radius 4 km is 251.327 square kilometers, rounded to the nearest thousandth.

Answer:

-------------------------

Curved surface area of a cylinder:

Substitute 6 for h and 4 for r:

Total surface area adds top and bottom faces:

Area = 550 x 440 = 242 000 square yard

1 square yard = 0.000206612 acre

242 000 square yard = x

x = 50 acre

The size is 50 acre

Answer:

Step-by-step explanation:

Eight fourths is proportional to the value of 2/1

Proportionality of values means the relationship that exists between two variables where their ratios are equivalent to each other.

A ratio that is made up of two variables is said to be proportional to another ratio when after being simplified one arrives at the same ratio.

Using the 8:4 or 8/4. This is equivalent to 2/1 and also equivalent to 16/8 as the simplification leads to 2/1

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Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.

Given,

Comparing the following using <, > or = ,

Numbers:

√17 and 29/7

For √17

Simplifying,

√17 = 4.123

For 29/7

29/7 = 4.14

√17 < 29/7

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Michelle was paid for that month is $ 4021.625

A linear equation is an algebraic equation of the form y=mx+b. regarding only a regular and a first-order (linear) time period, in which m is the slope and b is the y-intercept. on occasion, the above is called a "linear equation of two variables," where y and x are the variables.

Calculation:-

Percentage of commission = 10.5%

per week paid = $495.50

a. Equation of Michelle paid = 10.5/100X + 495.50

b. The total value of the kayaks she sold was $19 425.

  Michelle was paid for that month = 19 425 × 10.5/100 + 4 × 495.50

                                                          = 2039.625 + 1982

                                                          = $ 4021.625

A linear equation bureaucracy is an immediate line on a graph. A nonlinear equation paperwork an S-curve, bell curve, or any other nonlinear form on a graph. experts in mathematics and physics view linear equations as simple. specialists in mathematics and physics view nonlinear equations as complex.

A linear equation in a single variable is an equation wherein there is handiest one variable present. it is of the form Ax + B = 0, wherein A and B are any real numbers and x is an unknown variable that has the handiest one answer. for instance, 9x + 78 = 18 is a linear equation in one variable.

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The first possible location of O is approximately (2.038, 2.981).The second possible location of O is approximately (-4.038

To find the possible locations of point O, we need to divide the line segment MN into two parts with lengths in a ratio of 5:2.

Let's calculate the distance between points M and N first using the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

For points M(-8, 8) and N(6, 1):

d = sqrt((6 - (-8))^2 + (1 - 8)^2)

 = sqrt(14^2 + (-7)^2)

 = sqrt(196 + 49)

 = sqrt(245)

 ≈ 15.65 (approximated to two decimal places)

Now, we can determine the lengths of the two parts using the given ratio.

Length of the first part: (5 / (5 + 2)) * d

Length of the second part: (2 / (5 + 2)) * d

Length of the first part: (5 / 7) * 15.65

                     ≈ 11.22 (approximated to two decimal places)

Length of the second part: (2 / 7) * 15.65

                      ≈ 4.43 (approximated to two decimal places)

Now, we need to find the coordinates of the point O that divides the line segment MN into two parts with lengths approximately 11.22 and 4.43.

First possible location of O:

We start from point M(-8, 8) and move along the line segment MN in the direction of point N(6, 1) by a distance of approximately 11.22 units. To calculate the coordinates of O, we use the following formula:

O(x) = M(x) + ((length of the first part) / d) * (N(x) - M(x))

O(y) = M(y) + ((length of the first part) / d) * (N(y) - M(y))

O(x) = -8 + (11.22 / 15.65) * (6 - (-8))

    ≈ -8 + (0.717) * (14)

    ≈ -8 + 10.038

    ≈ 2.038 (approximated to three decimal places)

O(y) = 8 + (11.22 / 15.65) * (1 - 8)

    ≈ 8 + (0.717) * (-7)

    ≈ 8 - 5.019

    ≈ 2.981 (approximated to three decimal places)

Second possible location of O:

We start from point M(-8, 8) and move along the line segment MN in the direction of point N(6, 1) by a distance of approximately 4.43 units. To calculate the coordinates of O, we use the same formula as above:

O(x) = -8 + (4.43 / 15.65) * (6 - (-8))

    ≈ -8 + (0.283) * (14)

    ≈ -8 + 3.962

    ≈ -4.038 (approximated to three decimal places)

O(y) = 8 + (4.43 / 15.65) * (1 - 8)

    ≈ 8 + (0.283) * (-7)

    ≈ 8 - 1.981

    ≈ 6.019 (approximated to three decimal places)

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Answer:

B.

g= 10

Step-by-step explanation:

Answer:

Cory bought 6.30 gallons of gas at the gas station.

Step-by-step explanation:

total amount = cost of snacks + amount spent on gas

\($\$ 24.00=\$ 6.50+\$ 2.78 \mathrm{~g}$\)

\($\$ 2.78 \mathrm{~g}=\$ 24.00-\$ 6.50$\)

\($\$ 2.78 \mathrm{~g}=\$ 17.50$\)

\($g=\frac{\$ 17.50}{\$ 2.78}$\)

\($g=6.30$\)

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Answer:it would be 15 quarters and 10 dimes

Step-by-step explanation:

15 quarters is 3.75 and 10 dimes is $1, add them up you get $ 4.75

Answer:

15 quarters and 10 dimes

Step-by-step explanation:

25x + 10(25-x) = 475

x = 225/15

x = 15

So that has to mean he has 10 dimes

Hope this helps!!!

Answer:

He needs to score 28 points.

Step-by-step explanation:

\(1^{st}\,\,score: 30\,\,points;\\\\2^{nd}\,\,score: 18\,\,points;\\\\3^{rd}\,\,score: 28\,\,points;\\\\4^{th}\,\,score: \,\,?\)

Let's calculate Dante's 4th score, given that the average is 26 points:

\(\frac{S1 + S2 + S3 + S4}{4} = 26\\\\\frac{30 + 18 + 28 + S4}{4} = 26\\\\76 + S4 = 104\\\\S4 = 28\,\,points.\)