Tommy rented a scooter for 15 dollars plus 7 dollars per hour. He paid 29 dollars in total. How many hours was he able to rent the scooter?

Answer:

AC=44

Step-by-step explanation:

Two triangles are congruent

So the equation is

3z+17=6z-10

6z-3z=17+10

3z=27

z=9

So AC =

6.9-10

54-10

44

Answer:

The radius of the circle when 0 = 90°, A = 20 cm² and when 0 = 30°, A = 35 cm² is 7 cm. This can be determined by using the information from byjus.com, which states that the Find the Value of X calculator is a free online tool that can be used to calculate the radius of a circle. Using the calculator, the radius of the circle when 0 = 90°, A = 20 cm² and when 0 = 30°, A = 35 cm² is 7 cm.

Step-by-step explanation:

The three solutions of the equation y = -2x - 1 are (–2, 3), (1, –3), and (2, –4).

To find the solutions, we substitute different values of x into the equation and solve for y.

For the first solution, when x is –2, we have y = -2(-2) - 1 = 3. Therefore, the first solution is (-2, 3).

For the second solution, when x is 1, we have y = -2(1) - 1 = -3. Thus, the second solution is (1, -3).

For the third solution, when x is 2, we have y = -2(2) - 1 = -4. Hence, the third solution is (2, -4).

These three points satisfy the equation y = -2x - 1, and therefore, they are the solutions of the equation. They represent coordinate pairs (x, y) where the equation holds true.

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Answer:

x=-1/10

y=(-1/10)x0.5

so that y=-1/5

Step-by-step explanation:

Answer:

2n+22

Step-by-step explanation:

22 more than twice a number

n represents the number.

twice a number --> 2n

22 more than --> +22

2n+22

Hey there!

Guide:

• Difference means subtract/subtraction
• Product means multiply/multiplication
• Quotient means divide/division
• Sum means add/addition
• “more than”, “greater than” or “increased by” either means add/addition or >
• “less than, “smaller than”, or “decreased by” either means subtract/subtraction or <

• “unknown number” is a number we’re NOT so sure yet so we label them as variables. A variable is any letter from A to Z.

ANYWAYS, LETS ANSWER the QUESTION

“22 more than 2 twice a number”

• Since, your instructions say that “n” will be the unknown number, we should label the unknown number as that!

“22 MORE THAN twice a NUMBER”

This could be simply written as:

“22 > 2n” or even “2n + 22”

But we will just say that’s [2n + 22] would mostly fit this scenario

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The positive solution to the equation \(-x^{2} +2x+1=0\) is \(x=1+\sqrt{2}\).

Given quadratic equation is:

\(-x^{2} +2x+1=0\)

The general form of a quadratic equation is \(ax^{2} +bx+c=0\) and \(a\neq 0\).

On comparing with general form of quadratic equation

a = -1

b = 2

c = 1

So, from the Shreedharacharya formula,

\(x = \frac{-b+-\sqrt{b^{2} -4ac} }{2a}\)

\(x = \frac{-2+-\sqrt{2^{2} -4(-1)(1)} }{2*(-1)}\)

\(x = 1-\sqrt{2} \\x=1+\sqrt{2}\)

as \(x = 1-\sqrt{2}\) is negative

So, the positive solution is \(x=1+\sqrt{2}\)

Therefore, the positive solution to the equation \(-x^{2} +2x+1=0\) is \(x=1+\sqrt{2}\).

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Answer:  x = 2 + √2. x = 2 - √2 ·

Step-by-step explanation:

- x² + 2x + 1 = 0. x² - 2x - 1 = 0. Here,. a = 1. b = - 2. c = - 1

To predict the number of situps a person who watches 13.5 hours of TV can do, we can use the given regression equation y = ax + b, where 'a' and 'b' are the coefficients and 'x' is the hours of TV watched.

Given:
a = -1.077
b = 30.98
x = 13.5

Step 1: Substitute the given values into the regression equation:
y = (-1.077)(13.5) + 30.98

Step 2: Perform the calculations:
y = (-14.5395) + 30.98

Step 3: Add the values:
y = 16.4405

Since we need the result to one decimal place, we can round it off to:
y ≈ 16.4

So, a person who watches 13.5 hours of TV per day can do approximately 16.4 situps.

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Answer:

\(b)8\)

is the answer it's was helpful to you

Answer:

B ) 8

Is the answer have a great day

One possible solution to the system of inequalities is (90, 50)

From the question, we have the following parameters:

Supplies = 120 tacos or burritos

This means that

x + y = 120

Where x represents the number of tacos and y represents the number of burritos

Also, we have

She must sell no less than $580

This means that

3.75x + 7.25y >= 580

So, we have the system of inequalities to be given as

x + y = 120

3.75x + 7.25y >= 580

Next, we plot the system of inequalities on a graph

See attachment for the system of inequalities on a graph

From the attached graph, we have both lines of the graph intersect at (82.857, 37.143)

When the point is moved to the shaded region, we have one of the possible points to be (90, 50)

Hence, the solution to the system of inequalities is (90, 50)

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Answer:

definitely 145

Step-by-step explanation:

It is 145 degrees I hope this helps :)

Answer:

Step-by-step explanation:

B: 1.20 - 1 = 0.20

A: $100

C: $120

Answer:

Hey there!

False. The product of a positive number and a negative number is always NEGATIVE.

Let me know if this helps :)

Answer:

FALSE

Step-by-step explanation:

When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.

Answer:

10.5

Step-by-step explanation:

21(4) / 8

84 / 8

10.5

Answer:

101 sq. ft

Step-by-step explanation:

The correct option regarding how many times stronger the wave amplitude A of the earthquake was than the standard wave Ao is given by:

A = 39,811 Ao.

To find the ratio of A and Ao, which states how many times a earthquake measuring R in the Richter scale was stronger than the standard intensity Ao, we have to solve the following logarithmic function:

R = log(A/Ao)

The Richter scale of the earthquake in this problem is given as follows:

R = 4.6.

Hence the ratio of the measures is obtained as follows:

4.6 = log(A/Ao)

The power of 10 is the inverse function of the logarithm, hence if it is applied to both sides of the equation, then we can isolate the ratio A/Ao as follows:

A/Ao = 10^4.6

A/Ao = 39,811.

Applying cross multiplication, the ratio is given as follows:

A = 39,811 Ao.

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Answer:

246 ft^2

Step-by-step explanation:

First, break it into smaller rectangles:

3*6=12

6*9=54

15*12=180

Add the areas together

12+54+180=246

The area of the figure is 246 ft^2

The sum of the squares of the lengths of the medians of a triangle is equal to three-fourths the sum of the squares of the lengths of the sides of the triangle, based on the expression: 3(a^2 + b^2 + c^2)^2 - 6a^2b^2 - 6a^2c^2 - 6b^2c^2

To prove the statement using Stewart's Formula, consider a triangle ABC with sides of lengths a, b, and c. Let D, E, and F be the midpoints of sides BC, AC, and AB, respectively. The medians AD, BE, and CF intersect at a point called the centroid.

Using Stewart's Formula, we have:

m_a^2 * b * c + m_b^2 * a * c + m_c^2 * a * b = 4(a^2 + b^2 + c^2) * d^2 + 4 * d^2 * m^2

Since the centroid divides the medians in a 2:1 ratio, we have d = (2/3) * m, where m is the length of the median. Substituting this value into the equation, we get:

m_a^2 * b * c + m_b^2 * a * c + m_c^2 * a * b = 4(a^2 + b^2 + c^2) * (4/9) * m^2 + 4 * (4/9) * m^2 * m^2

m_a^2 * b * c + m_b^2 * a * c + m_c^2 * a * b = (16/9) * (a^2 + b^2 + c^2) * m^2 + (16/9) * m^4

m_a^2 = (2b^2 + 2c^2 - a^2) / 4

m_b^2 = (2a^2 + 2c^2 - b^2) / 4

m_c^2 = (2a^2 + 2b^2 - c^2) / 4

[(2b^2 + 2c^2 - a^2) / 4] * b * c + [(2a^2 + 2c^2 - b^2) / 4] * a * c + [(2a^2 + 2b^2 - c^2) / 4] * a * b = (16/9) * (a^2 + b^2 + c^2) * m^2 + (16/9) * m^4

a^4 + b^4 + c^4 + 2a^2b^2 + 2a^2c^2 + 2b^2c^2 - a^2b^2 - a^2c^2 - b^2c^2 = (16/9) * (a^2 + b^2 + c^2) * m^2 + (16/9) * m^4

3(a^4 + b^4 + c^4 + 2a^2b^2 + 2a^2c^2 + 2b^2c^2 - a^2b^2 - a^2c^2 - b^2c^2)

3(a^4 + b^4 + c^4 + a^2b^2 + a^2c^2 + b^2c^2)

Now, recall the identity (a^2 + b^2 + c^2)^2 = a^4 + b^4 + c^4 + 2a^2b^2 + 2a^2c^2 + 2b^2c^2.

3[(a^2 + b^2 + c^2)^2 - 2a^2b^2 - 2a^2c^2 - 2b^2c^2]

Simplifying further, we obtain:

3(a^2 + b^2 + c^2)^2 - 6a^2b^2 - 6a^2c^2 - 6b^2c^2

Therefore, the sum of the squares of the lengths of the medians of a triangle is equal to three-fourths the sum of the squares of the lengths of the sides of the triangle, based on the expression:

3(a^2 + b^2 + c^2)^2 - 6a^2b^2 - 6a^2c^2 - 6b^2c^2

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Answer:

The answer is 1/15

I hope it helps

Answer:

3√6

Step-by-step explanation:

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

\( = {1}^{2} + {( \sqrt{53} )}^{2} \)

\( = 1 + 53\)

\( {a}^{2} = 54\)

\(a = \sqrt{54} = 3 \sqrt{6} \)

Company B is cheaper if Nabhitha needs to drive 20 miles with the rented truck.

Given that, company A charges an initial fee of $30 for the rental plus $2 per mile driven. Company B charges an initial fee of $55 for the rental plus $1 per mile driven.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of miles Nabhitha drives be x.

Money charged by company A = 30+2x

Money charged by company B = 55+x

If Nabhitha needs to drive 20 miles (x=30) with the rented truck

Then money charged by company A = 30+2(20)

=$70

Money charged by company B = 55+20

=$65

Therefore, company B is cheaper if Nabhitha needs to drive 20 miles with the rented truck.

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Answer:

x

Step-by-step explanation:

\( \frac{2}{ x3} \times \frac{3}{2} \\ \frac{1}{3} \times 3 \\ \frac{1}{ x3 } \times 3 \\ {x}^{1} \\ x\)

Given:

Given a triangle.

Required:

To find the remote interior angles of angle 1.

Explanation:

Remote interior angles are angles that don't share a vertex or corner of a triangle with the exterior angle.

Here the remote interior angles of angle 1 are

Final Answer:

Option C and F are correct.

The value of the additional data point is 36

To find the value of the additional data point, we can use the concept of the sample mean.

Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.

The sample mean of this data set is 26.5.

To find the value of the additional data point, we can use the formula for the sample mean:

(sample mean) = (sum of all data points) / (number of data points)

In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.

Therefore, we can set up the equation:

26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12

Multiplying both sides of the equation by 12 to eliminate the fraction, we have:

318 = 282 + x

Subtracting 282 from both sides of the equation, we find:

x = 318 - 282

x = 36

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.

Answer:

19 and 2

Step-by-step explanation:

Let x represent the first number and y represents second number

x + y = 19

x - y = 17 add two equations up

2x = 36 divide both sides by 2

x = 19 and since the difference is 17 the other number is 2

The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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The number of pencils that Kala will have is 65 pencils.

Expressions are simply mathematical statements that contain at least two terms that are linked by an operator and contain variables.

From the information illustrated, Kala has 38 more pencils than Scott and they have 92 pencils together.

Let Scott pencil be x

Let Kala pencil be x + 38.

This will be illustrated as;

x + x + 38 = 92

2x + 38 = 92

Collect like terms

2x = 92 - 38

2x = 54

Divide

x = 54/2

x = 27

Kala will have:

x + 38

= 27 + 38

= 65

Kala has 65 pencils.

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Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero