Ms.Hanna goes bowling with her friends. The bowling shoe rental for the group cost $22. Each game the group bowls cost $7.25.
1) Write an equation for the total cost c of the outing relating to the number of games played g.
2) How much will it cost to bowl 3 games?

Answer:

34

Step-by-step explanation:

Answer:

42 /3 = x

Step-by-step explanation:

it is 14 for sure.....

I hope this helps you

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

0.75

Step-by-step explanation:

The "product" is a result of multiplication, so we know we are multiplying eight with something to get six. 0.75 is a rational number, and when multiplied by eight, gives six.

So, 0.75 * 8 = 6

The other number is 0.75

Given the points C(-1,5) and D(3,-1). Find the slope of a line parallel and perpendicular to CD in simplest fractional form.​

step 1

Find the slope CD

Applying the formula to calculate the slope

m=(-1-5)/(3+1)

m=-6/4

m=-3/2

step 2

Find the slope of a line parallel

Remember that

If two lines are parallel, then their slopes are equal

so

the answer is

slope is -3/2

step 3

Find the slope of a line perpendicular

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

so

the slope is 2/3

Using the greatest common factor of 165, 143, and 77, the greatest number of rows the garden can have if Kate uses all of the plants is 11.

The greatest common factor of two or more numbers is the highest number that can divide the numbers evenly without a remainder.

The greatest common factor can be determined by finding the prime factors of each number and using the highest factor.

The greatest common factor of 165, 143, and 77 is 11.

When 11 rows divide 165 tomato plants, there will be 15 tomato plants per row.

When 143 cucumber plants are divided into 11 rows, there will be 13 cucumber plants per row.

When 77 basil plants are divided into 11 rows, there will be 7 basil plants per row.

Thus, we can conclude that Kate will use a maximum of 11 rows for plants.

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Answer:

4.2

Step-by-step explanation:

3.25÷0.75=4.2

brainliest pls if that helped

Answer:

96oz = 6 pounds

Step-by-step explanation:

96 divided by 16 = 6 pounds

Assuming there are 16 ounces in 1 pound,  if he want to know the weight of the package. The weight of the package in pounds is 6 pounds.

Using this formula

Weight in pounds=Weight /Ounces in 1 pound

Where:

Weight=96 ounces

Ounces in 1 pound=16 ounces

Let plug in the formula

Weight in pounds=96 ounces/16 ounces

Weight in pounds=6 pounds

Inconclusion the weight of the package in pounds is 6 pounds.

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f has a greater y-intercept than g: False

f has a greater x-intercept than g: True.

f has a greater slope than g: False.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First, we would find the slope of line g;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-3 + 15)/(1 - 3)

Slope (m) = 12/2

Slope (m) = 6.

At data point (1, 9) and a slope of 6, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 9 = 6(x - 1)

y = 6x + 3

Slope of g is 6 while the slope of f is 4, thus, g has a greater slope.

For the x-intercept, we have:

0 = 6x + 3

-3 = 6x

x = -0.5

f(x) = 4x - 1

0 = 4x - 1

1 = 4x

x = 0.25

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Answer:20

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

-7 - -1  = -6

-5 - 4 = -9

-6/-9= 2/3

Hope this helped!

Answer:

2/3

Step-by-step explanation:

-1-(-7) / 4-(-5)

6/9 = 2/3

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

Step-by-step explanation:

center=(-1,1)

radius=√16=4

distance between (-1,1) and (3,1)=√[(3+1)²+(1-1)²]=√[16+0]=√16=4=radius

Hence point lies on the circle.

Answer:

- 28

Step-by-step explanation:

Step 1:

8 - 4x        Equation

Step 2:

8 - 4 ( 9 )     Input x value

Step 3:

8 - 36        Multiply

Answer:

- 28          Subtract

Hope This Helps :)

The percentage of people with blood pressure below 133 is 78.81%.

First, we need to calculate the Z-score for the value 133 using the formula:

Z = (X - μ) / σ

where X is the value (133), μ is the mean (121), and σ is the standard deviation (15).

Z = (133 - 121) / 15

Z = 12 / 15

Z = 0.8

Next, we can use a standard normal distribution table or a calculator to find the area under the curve to the left of the Z-score 0.8.

Looking up the Z-score of 0.8 in the standard normal distribution table, we find that the area to the left of 0.8 is 0.7881.

Therefore, the percentage of people with blood pressure below 133 is 78.81%.

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The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Answer:

Step-by-step explanation:

Answer:

First Equation → y = 21/4

Second Equation → x = -1/57

Explanation:

solving equation #1

step 1 - simplify

\(\displaystyle\frac{1}{6}y - \displaystyle\frac{1}{2} = 3 - \displaystyle\frac{1}{2}y\\\\\displaystyle\frac{1}{6}* \displaystyle\frac{y}{1} - \displaystyle\frac{1}{2} = 3 - \displaystyle\frac{1}{2}* \displaystyle\frac{y}{1}\\\\\displaystyle\frac{y}{6} - \displaystyle\frac{1}{2} = 3 - \displaystyle\frac{y}{2}\)

step 3 - multiply each side of the equation by six

\(\displaystyle\frac{y}{6} - \displaystyle\frac{1}{2} = 3 - \displaystyle\frac{y}{2}\\\\\displaystyle\frac{y}{6} * \displaystyle\frac{6}{1}- \displaystyle\frac{1}{2} * \displaystyle\frac{6}{1}= \displaystyle\frac{3}{1} *\displaystyle\frac{6}{1} - \displaystyle\frac{y}{2}* \displaystyle\frac{6}{1}\\\\y - 3 = 18 - 3y\)

step 4 - add three to both sides of the equation.

\(y - 3 = 18 - 3y\\\\y-3+3=18+3-3y\\\\y = -3y+21\)

step 5 - add three y to both sides of the equation.

\(y = -3y+21\\\\y+3y = -3y+3y+21\\\\y+3y=21\)

step 6 - simplify

\(y+3y=21\\\\4y=21\)

step 7 - divide both sides of the equation by four

\(4y=21\\\\\displaystyle\frac{4y}{4} = \displaystyle\frac{21}{4}\\ \\y = \displaystyle\frac{21}{4}\)

Therefore, the solution to the first given equation is y = 21/4 or y = 5.25.

solving equation #2

step 1 - simplify.

\(4x + \displaystyle\frac{1}{15} = \displaystyle\frac{2x}{10} \\\\4x + \displaystyle\frac{1}{15} = 2*\displaystyle\frac{x}{10}\\\\4x+\displaystyle\frac{1}{15} = \displaystyle\frac{x}{5}\)

step 2 - multiply each side of the equation by five.

\(4x+\displaystyle\frac{1}{15} = \displaystyle\frac{x}{5}\\\\\displaystyle\frac{4x}{1}* \displaystyle\frac{5}{1} +\displaystyle\frac{1}{15} * \displaystyle\frac{5}{1} = \displaystyle\frac{x}{5}* \displaystyle\frac{5}{1} \\\\20x + \displaystyle\frac{1}{3} = x\)

step 3 - subtract twenty x from each side of the equation.

\(20x + \displaystyle\frac{1}{3} = x \\\\20x -20x+ \displaystyle\frac{1}{3} = x -20x\\\\\displaystyle\frac{1}{3} = -19x\)

step 4 - divide each side of the equation by negative nineteen.

\(\displaystyle\frac{1}{3} = -19x\\\\\displaystyle\frac{\displaystyle\frac{1}{3} }{-19} = \displaystyle\frac{-19x}{-19} \\\\-\displaystyle\frac{1}{57} = x\)

step 5 - switch

\(-\displaystyle\frac{1}{57} =x\\\\x = -\displaystyle\frac{1}{57}\)

Therefore, the solution to the second equation is x = -1/57.

Answer: C

Step-by-step explanation:

Subtract 12 from both sides

y + 12 - 12 = 16 - 12

y = 4

By subtracting 12 from both sides, we isolate y and get the final answer

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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The area of triangle EFG is given as follows:

A = 18.63 square units.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:

A = 0.5bh

The base is given by segment EF as follows:

\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)

EF = 5.4.

The midpoint of EF is given as follows:

M(6.5, -8).

The height is given by the segment MG as follows:

\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)

MG = 6.9.

Hence the area is given as follows:

A = 0.5bh

A = 0.5 x 5.4 x 6.9

A = 18.63 square units.

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Answer: U = 8w-16/-12

Step-by-step explanation:

-12u + 13 = 8w -3

-12u + 13 - 13 = 8w -3 -13

-12u = 8w -16

u = 8w - 16/ -12

Answer:

-5/6

Step-by-step explanation:

(9, 5) and (21, -5)

slope = m = (difference in y)/(difference in x)

m = (-5 - 5)/(21 - 9)

m = -10/12

m = -5/6

Answer: -5/6

The slope of the line that passes through points (9,5) and (21,-5) is -5/6.

We can use the two-point formula to find the slope for the given line. The formula is as follows:

(y2 - y1) = m*(x2 - x1)

Where (x1, y1, x2, and y2) represent the points on the line, and m is the slope of the line.

In the given case:

x1=9, x2=21

y1=5, y2=-5

Using these values in the two-point formula, we get:

(-5-5)=m*(21-9)

-10=m*12

m=-10/12

m=-5/6

Hence the slope of the line is -5/6.

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Answer:

25

Step-by-step explanation:

a=1/2bh

a=1/2(5)(10)

a=1/2(50)

a=25

An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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Answer:

Step-by-step explanation:

To find the probabilities, we simply look up the probabilities given in the table.

Let O = event that the oil spill occurred in an ocean

Let L = event that the oil spill occurred in a lake or harbor

P(O) = Probability that the oil spill occurred in an ocean = 0.008 + 0.037 = 0.045

P(L) = Probability that the oil spill occurred in a lake or harbor = 0.020 + 0.002 + 0.146 + 0.161 = 0.329

P(not(O U L)) = Probability that the oil spill did not occur in an ocean, gulf, or lake = 1 - (P(O) + 0.233 + 0.020) = 1 - 0.298 = 0.702

Therefore, the answers to the questions are:

The probability that the oil spill occurred in an ocean is 0.045.

The probability that the oil spill occurred in a lake or harbor is 0.329.

The probability that the oil spill did not occur in an ocean, gulf, or lake is 0.702.

The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }

Given data ,

Let the geometric sequence be represented as A

Now , the value of A is

A = 12 ( -2/5 )ⁿ

On simplifying , we get

when n = 1

A₁ = 12 ( -2/5 ) = -4.8

A₂ = 12 ( -2/5 )²

A₂ = 12 ( 4/25 ) = 1.92

A₃ = 12 ( -2/5 )³

A₃ = -12 ( 8/125 ) = -0.768

A₄ = 12 ( -2/5 )⁴

A₄ = 12 ( 16 / 625 ) = 0.3072

A₅ = 12 ( -2/5 )⁵

A₅ = -12 ( 32 / 3,125 ) = -0.12288

Hence , the geometric sequence is solved

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