It took Erika 8 games to score 30 points. At that rate, how many games will it take her to score 45 points?

Answer:

Its the second answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

you can get 360 miles on a full tank

Step-by-step explanation:

Answer:

Every 1 Gallon will get you 30 Miles

So, if you have 12 Gallons then you can travel 360 Miles

You just multiply the amount of miles you can travel per gallon by the total amount of gallons that can be held by the gas tank. This will get you the max miles you can drive before running completely out of gas.

Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

Answer:

D

Step-by-step explanation:

Because 12 is greater than -5 and when you divide a postive and a negative you get a negative number. And negative numbers are less than 0 .

\( \frac{2x - 8}{3 \times 2 - 5x + 5} \)

\( = \frac{2x - 8}{6 - 5x + 5} \)

\( = \frac{ -8 }{6 -3x + 5} \)

\( = bro \: \: i \: \: don.t \: \: kmow\)

Answer:

\( - \frac{2(x + 4)}{ - 5x + 11} \)

Step-by-step explanation:

\(1. \: \frac{ - 2(x + 4)}{3 \times 2 - 5x + 5} \\ 2. \: \frac{ - 2(x + 4)}{6 - 5x + 5} \\ 3. \: \frac{ - 2(x + 4)}{ - 5x + 11} \\ 4. \: - \frac{2(x + 4)}{ - 5x + 11} \)

There is your answer

Answer:

Equation: 55D+40F+25L

Solution:$1595

Step-by-step explanation:

Equation: 55D+40F+25L

                55(6)+40(11)+25(33)

                330+440+825

Solution: $1595

Answer:

  x - 18 = 21

Step-by-step explanation:

In math, the description, "the difference between p and q" is written as ...

  p - q

Then the difference between x and 18 is ...

  x - 18

When we say that "is 21", we mean it is equal to 21:

  x - 18 = 21

Answer:

O A"(3, -5) B"(1, -3)

Step-by-step explanation:

Hope it helps.

Answer:

A"(-3, 5), B"(-1, 3) is the answer

Answer:

x=00

Step-by-step explanation:l

nnm

Answer:59$

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Amount of interest =Principal  * interest rate  * time

     (interest is .054 in decimal )

744 = Principal * .054 * 3           so Principal = 4592.59 dollars

Answer:

7 and 3/5

Step-by-step explanation:

3 and 4/5 times 2 is 7 and 3/5

The probability that 89% or more in the sample will have earned a high school diploma is p ~ N = ( 0.87 , 0.001131 )

The normal distribution can be used to model the sample proportions.

The Central Limit Theorem and the importance of the normal distribution model in statistics (CLT). According to this theory, regardless of the type of distribution, the variables are sampled from, averages calculated from independent, identically distributed random variables have approximately normal distributions (provided it has finite variance).

Given,

N ( sample size ) = 100

probability of earning a high school diploma (p)  = 0.87

probability of not earning a high school diploma ( q ) = 0.13

hence ;

∈( P ) = p = 0.87

Var ( p ) = \(\frac{pq}{n}\)  = \(\frac{0.86*0.13}{100}\)  = 0.001131

therefore ; p ~ N = ( 0.87 , 0.001131 )

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Answer:

2+4+ccc

Step-by-step explanation:

Answer:

me too (help)

Step-by-step explanation:

Answer:

It is increasing

The y-intercept is (0, 3).

The domain of F(x) is all real numbers.

Answer:

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Step-by-step explanation:

For a dilation at the origin, multiply each of the coordinates by the scale factor.

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Answer:

x = -4, 1, 4

Step-by-step explanation:

The function is given as:

f(x) = (x² - x -2)/[(x² - 1)(x² -16)]

We want to find the values of x where the graph will have vertical assymptote.

Vertical asymptotes are defined as vertical lines which correspond to the values of x that will make the denominator of a rational function to be zero.

Thus, to get the values of x that we will have vertical assymptotes, we have to equate the denominator to zero.

We have;

[(x² - 1)(x² -16)] = 0

Thus,

x² - 1 = 0

Or

x² - 16 = 0

So;

x² = 1

x = √1

x = 1

Or

x² = 16

x = ±√16

x = ±4

Values of x that give vertical assymptote are;

x = -4, 1, 4

b=48

c=137

enjoy :) ....

Answer:

3 hours

Step-by-step explanation:

To solve this we can first find out how many minutes is 1/5th of an hour which is: 12 mins.

Now we know it will take 15 sets of 12 minutes to water the full lawn so we can multiply 15*12 to get our answer.

15*12 = 180

Now we divide 180 (minutes) by 60 (minutes) to find out how many hours that is:

180/60 = 3 hours

Hope this helped! If possible please leave a thanks so I can continue to help out others :),

comment if you have any questions.

Answer:

3 hours

Step-by-step explanation:

1/5 of an hour is 12 minutes.

So 1/15 of a lawn takes 12 minutes to water.

Next you multiply 15, how many times 1/15 of a lawn is watered, and multiply it by 12, the time it takes to water 1/15 of a lawn.

So you would get 180 minutes.

Finally you convert it to hours. To do this, you divide it by 60, how many minutes in and hour, and should get an answer of 3 hours.

Hope this helps!

Answer:

\(\huge\boxed{\sf $1.25}\)$1.25

Step-by-step explanation:

Pizza = $2.50

Drink = $1.25

Total = $2.50 + $1.25

= $3.75

Paul has = $5

Change received = total money - money spent

= $5 - $3.75

= $1.25

\(\rule[225]{225}{2}\)

Hope this helped!

14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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Answer: C

Step-by-step explanation:

For box and whiskers plot the box is where the majority of the data is.  the whiskers(the lines on both sides will tell you where the range of numbers lie)

The middle line in the box is the median number.

The question is worded oddly where they want least likely to be more than 30 which means which one will have less than 30. (Double negative question)

You want the majority of the data to be less than 30, which is subway.  C

Answer:

\(q=45\)

Step-by-step explanation:

Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:

\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)

Answer:

They are similiar

But which options of answers do you have?

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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In the class, Lucy's score is 6.

In statistics, the median is the middle value in a sorted, ascending or descending list of numbers. Thus, it represents the midpoint of the data.

The median is often compared with other descriptive statistics such as the mean (average), mode, and standard deviation.

Since Lucy is one of the 29 students in the class and her score was the same as the median score for her class.

Thus, the median score will be 15th score (i.e. the midpoint of 29). Using the frequency in of each score from the figure, let's keep adding the frequency until we reach 15 and we will then check the corresponding score at the 15th position:

2 + 2 + 4 + 7 = 15

Thus, the the corresponding score at the 15th position is 6.

Therefore, the median score is 6 and consequently Lucy's score is 6.

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Answer:

x-intercept = (4,0)

Step-by-step explanation:

Slope = 1/2

y-intercept = -2

x-intercept =?

Step 1 ; Use the given information to derive the equation of the line.

Substitute values into ; y=mx+b

Where m = slope

b = y-intercept

Equation = \(y =\frac{1}{2} x -2\)

Step 2 ; Calculate the x-intercept

Arrange the equation in standard form ; Ax +By  = C

\(-\frac{1}{2} x +y = -2\)

Let y = 0

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

Cross Multiply

\(-x\times 1 =-2\times 2\\\\-x = -4\\\\x =4\\\\(4,0)\)

So ; (4,-2)

Simplifying this equation, we get:

8 + 4k + 4k + 6 = 30

8k + 14 = 30

8k = 16

k = 2

Therefore, the value of k is 1.

In mathematics, a polynomial is an expression consisting of variables (usually represented by x), coefficients, and non-negative integer exponents, which are combined using the operations of addition, subtraction, and multiplication. For example,

\(3x^2 + 2x - 1\)

is a polynomial with three terms, or a "trinomial," where the variable x is raised to the powers of 2 and 1, and the coefficients are 3, 2, and -1.

The degree of a polynomial is the highest power of the variable in the expression. For example, the polynomial above has a degree of 2, since the highest power of x is 2.

Polynomials are used in many areas of mathematics, including algebra, calculus, and geometry, and are used to model many real-world phenomena.

We can use the remainder theorem, which states that if a polynomial f(x) is divided by (x - a), then the remainder is equal to f(a). In this case, we know that when the polynomial\(l x^3 + kx^2 + 2kx\) + 6 is divided by (x - 2), the remainder is 30. So, we can set up the following equation:

\(x^3 + kx^2 + 2kx + 6 = (x - 2)q(x) + 30\)

where q(x) is the quotient when. \(x^3 + kx^2 + 2kx + 6\) is divided by (x - 2). We don't need to know what q(x) is, since we're only interested in finding k.

Now, let's substitute x = 2 into the equation above:

\(2^3 + k(2^2) + 2k(2) + 6 = (2 - 2)q(2) + 30\)

Simplifying the left-hand side, we get:

\(8 + 4k + 4k + 6 = 30\)

\(16k = 16\)

\(k = 1\)

OR

8 + 4k + 4k + 6 = 30

8k + 14 = 30

8k = 16

k = 2

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