299 for 4 tires. Someone wants 2 tires. How much is the price.

Answer:

C

Step-by-step explanation:

1*18 2*9 3*6

The order to us solve is:

Let's go:

\(25(1.2\times 3 - 1.25) + 3.45\\25(3.6-1.25)+3.45\\25\times 2.35 + 3.45\\58.75+3.45\\62.2\)

Therefore, the result is 62.2.

Answer:

4.0375

Step-by-step explanation:

.25(3.6-1.25)+3.45

.25(2.35)+3.45

.5875+3.45

4.0375

HOPE  THIS HELPS:)

Answer:

3.6 divided by 3 = 1.2 so 1.2 yards of material can be used on each skirt.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2(3x - 7) + 2(3x - 7)

(x^2 + 2)(3x - 7)

\(\huge\text{Hey there!}\)

\(\bold{Factor: 3x^3 -7x^2+6x -14}\)

\(\bold{Step-by-step\downarrow}\)

\(\bold{x^2(\dfrac{3x^3}{x^2}-\dfrac{7x^2}{x^2})+2(\dfrac{2\times3x}{2}-\dfrac{2\times7}{2})}\)

\(\bold{= x^2(3x^{3-2}-7)+2(3x-7)}\)

\(\bold{= x^2(3x-7)+2(3x-7)}\)

\(\bold{= (3x-7)(\dfrac{x^2(3x-7)}{3x-7}+\dfrac{2(3x-7)}{3x-7})}\)

\(\bold{= \underline{(3x -7)(x^2+2)}}\)

\(\boxed{\boxed{\bold{Answer: (x^2+2)(3x-7)}}}\huge\checkmark\) \(\underline\bold{(Option\ C.)}\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

time = .8 hours      distance = 4km

Step-by-step explanation:

Answer:

The First on is 0.8 hours

The seconded one is 4 km

Based on the information, it can be inferred that after one hour Jake and Lisa will have filled 3 socks each.

To find the time necessary for both of them to have filled the same number of socks, we must take into account the speed at which each one fills the socks.

Additionally, when Jake arrives at work, Lisa has already filled two stockings. According to the above, after one hour Lisa will complete all 3 socks and Jake will have filled the first 3 socks for him.

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Answer:

15.625 m³

Step-by-step explanation:

Volume of the cube

= side³

= (2.5 m)³

= 15.625 m³

The calculated area of the kite is 56 square units

From the question, we have the following parameters that can be used in our computation:

The figure

The figure is a kite

And the area of the kite can be calculated as

Area = pq/2

Where p and q are the diagonals

using the above as a guide, we have the following:

p = 9 + 5 = 14

q = 4 + 4 = 8

So, we have

Area = 14 * 8/2

Evaluate

Area = 56

Hence, the area of the kite is 56 square units

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Answer:

B: 1.53

Step-by-step explanation:

The mean, or average, is 4, and n, the amount of numbers, is 7. To find the standard deviation, first, all of the numbers are subtracted by the mean. This makes (-3, 0, 0, 0, 0, 1, 2). Square all of them to get (9, 0, 0, 0, 0, 1, 4). Next add the squared numbers together (9 + 0 + 0 + 0 + 0 + 1 + 4 = 14). Next, the variance needs to be found. That is found by this formula: (Sum of previous number set ÷ (n - 1)). So in this case, (14 ÷ (n - 1)). Since n is 7, it is (14 ÷ (7 - 1)), or (14 ÷ 6). The answer to that is 2.3 repeating. After the variance is found, it is square rooted to get the standard deviation. √2.3 is about 1.53. Hope this helps! Have a great day! :)

Answer: Yes

Step-by-step explanation: A rational number is a number that can be described as a fraction. -92 can be a fraction, therefor it's rational.

No

A rational number is any number that can be expressed as a ratio of two integers. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi is irrational since it cannot be written as a fraction.

Answer: The function for estimating the population of wolves in an area is f(x) = 23 + 36 * log(x + 2) where x is the number of years since 2010.

Step-by-step explanation: To write the function in terms of common logarithms, we use the change of base formula:

log_a(b) = log_c(b) / log_c(a)

where a is the new base, b is the original value, and c is the common base (usually 10).

Using this formula, we can rewrite the function as:

f(x) = 23 + 36 * log_10(x + 2)

f(x) = 23 + 36 * (log(x + 2) / log(10))

f(x) = 23 + 36 * (log(x + 2) / 1)

f(x) = 23 + 36 * log(x + 2)

The given function is f(x) = 23 + 36 * log(base e)(x + 2), where x is the number of years since 2010 and f(x) is the estimated number of wolves in the area. Using the change of base formula for logarithms, we can rewrite the function in terms of common logarithms, which is log(base 10). This makes it easier to work with since we are generally more familiar with the base 10 system.

To do this, we first rewrite the formula using the change of base formula for logarithms as f(x) = 23 + 36 * (log(base 10)(x+2) / log(base 10)(e)). Simplifying the right side of the equation, we know that log(base 10)(e) is equal to approximately 0.434. So we can simplify the function further by multiplying the natural logarithm of (x+2) by 36/0.434, which produces the function f(x) = 23 + 82.93 * log(base 10)(x+2).

Finally, we can simplify this expression further by replacing 82.93 with 36/log(base e)(10) = 36/2.303 = 15.624. This gives us the final form of the function in terms of common logarithms: f(x) = 23 + 15.624 * log(base 10)(x+2).

Hope this helps, and have a great day!

Answer:

x = -5 and y = 1

Step-by-step explanation:

a) 2x + 5y +5 = 0

a) 2x + 5y = -5

b) 2y = 3x + 17

b) y = 3/2x + 17/2

a) 2x + 5(3/2x + 17/2) = -5

a) 2x + 15/2x + 85/2) = -5

a) 19/2x = -5 - 85/2

a) 19/2x = -95/2

a) x = (-95/2) / (19/2)

x = -5

b) 2y = 3(-5) + 17

b) y = 2/2

y = 1

Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

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Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.

To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.

From the given mapping diagram, we can see that:

The input value -3 is associated with the output value 0.

The input value -1 is associated with the output value 2.

The input value 1 is associated with the output value 0.

The input value 3 is associated with the output value 2.

The input value 5 is associated with the output value 5.

As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.

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The value of the missing length is 5.3

To determine the missing sides, we need to know the Pythagorean theorem, we have;

The Pythagorean theorem states that the square of the longest side of a triangle is equal to the sum of the squares of the other two sides of the triangle.

From the information given, we have that;

1.

8² = 6² + x²

find the squares, we have;

64 = 36 + x²

collect like terms

x² = 28

x = 5. 3 units

2. 8² = 6² + y²

find the squares

y² = 28

y = √28

find the square root

y = 5.3 units

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The quadratic functions are: f(x) = 0.03x² for Design A and g(x) = 0.024x² for Design B.

A quadratic function is a type of polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. In a quadratic function, the highest power of the variable is 2.

The graph of a quadratic function is a parabola, which is a U-shaped curve that opens either upwards or downwards depending on the sign of the coefficient a. If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards. The vertex of the parabola, which is the point where the curve changes direction, is given by the coordinates (-b/2a, f(-b/2a)).

Quadratic functions have a wide range of applications in various fields such as physics, engineering, economics, and finance. For example, they can be used to model the motion of projectiles, the trajectory of a rocket, the shape of a bridge arch, the optimization of business profits, and the behavior of financial markets.

Let's assume that each side of the cube has a length of x inches. Then, the surface area of the cube is 6x² square inches.

a. For Design A with a cost of $0.005 per square inch, the total cardboard cost can be calculated using the quadratic function:

f(x) = 0.005(6x²) = 0.03x²

b. For Design B with a cost of $0.004 per square inch, the total cardboard cost can be calculated using the quadratic function:

g(x) = 0.004(6x²) = 0.024x²

Therefore, the quadratic functions are:

f(x) = 0.03x² for Design A

g(x) = 0.024x² for Design B

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The complete question is:

Answer:

$491.25

Step-by-step explanation:

Amy is an installer for the telephone company. She earns $13.10 per hour. How much will she earn in 37.5 hours? ​

$13.10 * 37.5 = $491.25

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

cheese:

purchased amount = 3 3/8 lb

used amount = 2 3/4

Step 02:

equation:

remaining amount = purchased amount - used amount

The answer is:

5/8 lb = 0.625 lb

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.

To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.

If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.

By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.

Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.

The time taken to reach her destination while travelling at her initial speed is 2 hours.

To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.

Therefore, the percentage increase in speed

= (30/120) x 100

= 25%.

Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.

Therefore, the correct answer is 200%.

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Answer:

x=80/3

Step-by-step explanation:

80=3x

80/3=3x/3

3's cancel out so you are left with x on the right

80/3 gives you a decimal so you can just leave it in fraction form

The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.

Given the quadratic equation in the question:

6x² = -3x + 1

To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:

6x² + 3x - 1 = 0

Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:

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

Here; a = 6, b = 3, and c = -1.

Let's substitute these values into the quadratic formula:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)

Therefore, the values of x are -0.73 and 0.23.

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Answer:

I think you are correct. bc you have 4 different caps, and four different sections of a spinner that are equal same with the cap. So I believe so.

Step-by-step explanation:

I hope this helps! Im in algebra 2 so its been awhile since i have done this. Good Luck!!:)

Answer:

A

Step-by-step explanation:

I agree with your answer. The question is basically just saying the beverage company randomly chooses one of those letters to put under the bottle caps. For example, one bottle cap might have a T on it, and another might have an A on it. If you try to get all 4 letters, then you will have to keep buying those drinks until you manage to collect all 4 letters. Therefore, there are only 4 possible options for which letter you can get.

If you spin a spinner that has 4 equal sections, then this is similar. You have 4 possible options you can get.

Hope this helps! :)

Answer:

Grace

Step-by-step explanation:

We have to look at the bottom 2 angles, the bigger the angle the wider it is. For Hector, his R angle is 50 degrees and it's 14 wide, but his R angle is 60 degrees, bigger than 50 degrees, and yet the it's only 12.5 wide which is smaller than 14. Grace got it right, 60 degrees is bigger than 50 so it's only natural for it to be wider too.

Answer:

Step-by-step explanation:

Each intercept is found by setting the other variable to zero and solving for the variable value of interest.

  2x +3y = 54

x-intercept:

  2x = 54

  x = 27

y-intercept:

  3y = 54

  y = 18

__

By definition, the intercept values are the values that satisfy the equation when the other variable is zero.

x-intercept: To score 54 points, the team would have to make 27 2-point baskets if no 3-point baskets were made.

y-intercept: To score 54 points, the team would have to make 18 3-point baskets if no 2-point baskets were made.

Step-by-step explanation:

Volume = 20×70×80 = 112000 cm³

Volume of cubes = 20×20×20 ×5 = 8000 ×5 = 40000 cm³

Volume of space in the tank = 112000-40000 = 72000 cm³ = 72000 mL = 72 L

Volume of water from tap = 158 × 1 = 158 L

Volume of water spilt out = 158 - 72 = 86 L

Answer: 30000cm³

Step-by-step explanation:

Capacity of tank-> 30x70x80

                               =168000

Volume of 1 cube->20x20x20

                              =8000

Volume of 5 cubes->8000x5

                                  =40000

Volume of space which can be occupied by water->168000-40000

                                                                                        =128000

Volume of water running for 158 min-> 158x1000

                                                                  =158000

Volume of water spilt out->158000-128000

                                             =30000( Ans)

Answer:

A = 25t + 300

B = 55t + 150

Less than 5 hours, company B would be cheaper.  At 5 hours the cost is equal.  After 5 hours, company A would be cheaper.

Step-by-step explanation:

Company B would be cheaper for lower hours.

The the two equation equal to each other and solve for to find out when the costs will be equal.

25t + 300 = 55t + 150  Subtract 25t from both sides

300 = 30t + 150  Subtract 150 from both sides

150 = 30t  Divide both sides by 30

5 = t

At 5 hours the cost are the same, after 5 hours company A would be cheaper.

All of the options which are true of similar shapes include the following:

A. They must be the same shape.

D. They can be different sizes.

In Mathematics, two (2) geometric shapes are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

In Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):

This ultimately implies that, two (2) similar geometric shapes can have different sizes depending on the scale factor that is applied.

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Answer:

x≥√πax≥πa or x ≤−√πa

Step-by-step explanation:

Answer: i think c

Step-by-step explanation: