The monthly cost of a cell phone plan is given by the function C(x) = 0.025x + 35, where x represents the number of minutes
used during the month. Find the number of minutes used during a month when the cost amounted to $47.90.
O 624 minutes
O 574 minutes
O 516 minutes
O 488 minutes

Answer:

The answer is C

Step-by-step explanation:

c.  8√(2^4 )

given 2^(4/8)  can be written as 2^(4×1/8)  

eg: 2^(1/2) is √2 hence same rule we can apply here and since 2^(1/8) we can write as 8√2 and given 2^4

further knowledge: so if asked to expand more we can write it as 8√16 simplifying this further we get 2^(1/2) which is actually √2

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The probabilities are given as follows:

3. P(rides bus|owns a car) = 1/3.

4. P(red|organic) = 3/5.

The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item 3, the outcomes are given as follows:

Hence the probability is:

P(rides bus|owns a car) = 8/24 = 1/3.

For item 4, the outcomes are given as follows:

The error was in identifying the total outcomes, and the probability is:

P(red|organic) = 18/30 = 3/5.

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Answer:

she scored 76 percent in the test

7.48 x 8.33 = 62.3664 pounds are the weight of one cubic foot of water. 1.8 x 62.3664 = 112.26 is the weight of one cubic foot of water. Therefore, 1.8 cubic feet of water weigh about 112.26 pounds.

3 dimensions: 3 by 3 by 3

A space that is 1 foot by 1 foot by 1 foot is called a cubic foot. Add the piece's length, breadth, and height together to get the cubic feet it will hold. For instance, the volume of a dresser that is 4 feet length, 2 feet wide, and 5 feet high is 40 cubic feet.

A Cubic Unit's Operation Each unit cube's dimension of a unit cube(length, width, and height) is one unit. So, one unit of length with one unit of width and one unit of height together make a volume of one cubic unit.

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Answer:

0,0215

Step-by-step explanation:

Answer:

Length = 4 feet

Step-by-step explanation:

Let the length of a rectangle be x.

Width is 1 feet shorter than the length, b = x-1

The area of the rectangle is 12 sq feet.

The area of a rectangle is given by :

A = length × width

So,

\(x(x-1)=12\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x+3)(x-4)=0\\\\x=-3\ and \ x=4\)

Neglecting the negative side, the length of the rectangle is equal to 4 feet.

Answer:12.4 feet

Step-by-step explanation:

The smallest possible value of the entire expression is 7.5, which occurs when A = 5, B = 2, and C = 4.

We are given the three different numbers 4, and C represent three different numbers from 2 through 5 and we have to find out the smallest possible value of the entire expression 10 - A B/C.

To find the smallest possible value, we need to take the greatest value of A, the smallest value of B, and the smallest value of C.

The given number 4 is in between 2 and 5, so it cannot be the greatest value.

Therefore, A must be 5. Now, the other two numbers must be chosen from the remaining three numbers 2, 3, and 4.

We need to choose the smallest possible value of B and C to make the entire expression the smallest. The smallest value of B is 2.

Now, we need to choose the smallest possible value of C. If C is 4, then the entire expression becomes:10 - 5(2/4) = 10 - 2.5 = 7.5If C is 5, then the entire expression becomes:10 - 5(2/5) = 10 - 2 = 8

Thus, the smallest possible value of the entire expression is 7.5.

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The number of combinations that can be made among eight people is given as follows:

56 combinations.

As there are different roles, the order is important, hence the permutation formula is used to solve this question.

The number of possible permutations of x elements from a set of n elements is given by:

\(P_{(n,x)} = \frac{n!}{(n-x)!}\)

For this problem, two people are selected from a set of 8, hence the number of combinations is given as follows:

P(8,2) = 8!/6! = 8 x 7 = 56 combinations.

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The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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Answer :

Explanation :

\(\longrightarrow \qquad \sf{2.4x + 3.4=15.4}\)

Subracting 3.4 from both sides we get :

\({\longrightarrow \qquad \sf{2.4x + 3.4 - 3.4=15.4 - 3.4}}\)

\(\longrightarrow \qquad \sf{2.4x =12}\)

Dividing 2.4 from both sides we get :

\(\longrightarrow \qquad \sf{ \dfrac{2.4x}{2.4} = \dfrac{12}{2.4} }\)

\(\longrightarrow \qquad \sf{ \dfrac{ \cancel{2.4} \: x}{ \cancel{2.4}} = 5 }\)

\(\longrightarrow \qquad \bf{x = 5 } \)

Therefore,

Answer:

x = 5

Step-by-step explanation:

\(\mathrm{Multiply\:both\:sides\:by\:}10\)

\(2.4x\cdot \:10+3.4\cdot \:10=15.4\cdot \:10\)

\(\mathrm{Refine}\)

\(24x+34=154\)

\(\mathrm{Subtract\:}34\mathrm{\:from\:both\:sides}\)

\(24x+34-34=154-34\)

\(\mathrm{Simplify}\)

\(24x=120\)

\(\mathrm{Divide\:both\:sides\:by\:}24\)

\(\frac{24x}{24}=\frac{120}{24}\)

x = 5

~Learn with Lenvy~

Answer:

True

Step-by-step explanation:

<---------->

Answer:

46 terms

Step-by-step explanation:

a₁=b, a₂₁= bₙ, d₁=9, d₂=4

n=?

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

a₂₁= a₁+20d₁= a₁+20*9= a₁+180

bₙ= b₁+(n-1)d₂= a₁+4(n-1)

a₁+4(n-1)=a₁+180

4(n-1)=180

n-1= 180/4

n-1= 45

n=46

Answer:

a

Step-by-step explanation:

The combination of transformation that results in the image WXYZ from the pre-image QRST are:

In mathematics, rotation is a notion that originated in geometry. Any rotation is a movement of a specific space that retains at least one point. It can, for example, explain the motion of a rigid body around a fixed point.

A translation is a geometric transformation in Euclidean geometry that moves every point in a figure, shape, or space by the same distance in the same direction. A translation may alternatively be understood as the addition of a constant vector to each point or as altering the coordinate system's origin.

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The row of tiles would be 24 1/2 inches long.

B:The  row of 10 tiles would be 35 inches long.

A 1. To be able to know the length of the row of tiles, one need to multiply the length of one tile by the number of tiles in the said  row.

So, all tile measures 3 1/2 inches on each side, Hence  the length of one tile is 3 1/2 inches.

Based on the fact that there are 7 tiles in a row, we have to multiply the length of one tile by 7:

Length of the row = 3 1/2 inches/tile x 7 tiles

                              = 24 1/2 inches

So, the row of tiles is 24 1/2 inches long.

B 2. Also, to find the length of a row of 10 tiles, we need to multiply the length of one tile by 10.

Note that:

Length of one tile = 3 1/2 inches

Number of tiles in the row = 10

Hence:

Length of the row = 3 1/2 inches/tile x 10 tiles

                               = 35 inches

So, the row of 10 tiles is 35 inches long.

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Answer:

x=230

Step-by-step explanation:

x÷10=23

multiply to undo division; multiply both sides by 10

x=230

The equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

According to the question,

We have the following information:

Slope of the line = 1/3

We know that the slope of the line is denoted by m.

y-intercept of the line = -1

We know that the y-intercept is denoted by b.

We have the following equation for the line in slope-intercept form:

y = mx+b

Putting the above values in this equation:

y = x/3-1

Hence, the equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

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Answer:

The number to be subtracted = -11/2

Step-by-step explanation:

(3*rational number)-x=1/2

The rational number given = -5/3

Then thrice the rational number

= 3*rational number

= 3*(-5/3)

= -5

(3*rational number)-x=1/2

-5-x= 1/2

-5- 1/2= x

-11/2= x

The number to be subtracted = -11/2

Answer:

See Image below:)

Step-by-step explanation:

You can use the app photo math, you just take a picture of the question and it shows you the steps.

Answer:

B. about 5 days.

Step-by-step explanation:

If you average;

400 miles per day

1990 miles trip would take?

Cross multiplying gives;

\(\frac{1990 * 1}{400}\) = 4.975 days

Rounding off the answer to nearest day gives 5 days.

Hence the 1990 miles journey should take about 5 days.

A trip of 1990 miles would take around 5 days if you averaged 400 miles each day. Option B is correct.

It is described as the single number that embodies the mean value for the specified collection of data or the closed value for each item in the specified set of data.

It is given that, you averaged 400 miles per day,

We have to find the days would a trip of 1990 miles takes.

The number of days is obtained by taking the ratio of the total distance we have to travel to the distance traveled by the person in one day.

Suppose the number of days needed to complete the trip will be x,

x=Total distance/distance in one day

x=1990 / 400

x= 4.975 days

x≈5 days

If you averaged 400 miles each day, a trip of 1990 miles would take around 5 days.

Thus, option B is correct.

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Answer:

140

If that's wrong, try 147

Step-by-step explanation:

With this brief sequence of numbers, we can see that the function is linear, and increases by 7 each term, with the first term at -21, and therefore, the "0th" term, or the y-intercept, at -28. With this information we can create a function in slope intercept form (y=mx+b):

\(y=7x-28\\\),

where our m (slope) is 7, and our b (y-intercept) is -28.

If this doesn't make sense, then the easiest way is to just keep adding seven to the previous number until you get to the 24th term.

Hope this helps!

The first 100 terms of a series add up to 4950, and the first 21 terms of a series where a = 20 and t21 = 400 add up to 4410

An arithmetic progression is when the difference between each phrase that follows another in a sequence is always the same. For instance, the sequence 5, 7, 9, 11, 13, and 15 is an example of an arithmetic progression with a 2 tolerance. A progression having a set tolerance between any two consecutive numbers is known as a "arithmetic progression" (A.P.). Two alternative types of mathematical progression exist: finite-length mathematical series A series that has a limited number of terms is a finite geometric progression. One may calculate the early, late, tolerance, and number of terms in a series using the terms in the series.

given

1) n6 = 6  where a = 5 and d = 5 = 105

2)n6 =6 where a = 9 and d = 12 = 234

3) n5= 5 where a = 5.7 and d = 1.4 = 42.5

4) a = 20 and  t₂₁ = 400 ,

= 380

Therefore, Sum of 21 terms =  4410

5) In series  a = 0 and t₁₀₀ =  99  = 4950

The first 100 terms of a series add up to 4950, and the first 21 terms of a series where a = 20 and t21 = 400 add up to 4410

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Using the highest common factor, the greatest number of identical binders that the teacher can make is 18.

The highest common factor or multiple of the given numbers is the highest number that can divide them without a remainder.

We know that 2, 9, and 18 can divide 54, 36, and 72 without leaving a remainder.

We can see that the highest common factor is 18.

When we divide 54 by 18, the quotient is 3. If you divide 36 by 18, the quotient is 2.  When you divide 72 by 18, the result is 4.

The number of lined paper = 54 pieces

The number of grid paper = 36 pieces

The number of dividers = 72 dividers

The common factors of 54, 36, and 72 are 2, 9, and 18.

The highest common factor of 54, 36, and 72 is 18.

Thus, 18 binders containing 3 pieces of lined paper, 2 pieces of grid paper, and 4 dividers can be made from the collection, using their HCF.

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Answer:

to gorvenit means group

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

4 1/12 × 2 3/4 =  11 11/48

Sorry that I can't explain this more, But I hope this helps!

Answer:

Weak positive

Step-by-step explanation:

From. Visual inspection of the scatter plot, the line of best fit will have a positive slope has values of x tends to increase with a corresponding increase in the value of y.

However, the points are scattered across the plotting area meaning that most of the points will be a bit farther away from the regression line. This means a weak correlation between the x and y variables will be obtained. Since the slope is positive, theb the relationship between the variables based on the scatterplot interpretation is a weak positive correlation.

The requried future value of Katy's annuity after 6 years will be $5268.63.

We can start by calculating the number of compounding periods over 6 years. Since Katy is investing quarterly, there are 6 x 4 = 24 compounding periods.

Next, we can use the formula for the future value of an ordinary annuity:

\(FV = PMT \times ((1 + r)^n - 1) / r\)

Where PMT is the periodic payment, r is the interest rate per period, and n is the total number of periods.

Plugging in the given values, we get:

\(FV = $200 \times ((1 + 0.032/4)^{24} - 1) / (0.032/4)\)

FV = $200 x (1.23675 - 1) / 0.008

FV = $200 x 30.84375

FV = $5268.63

Therefore, the future value of Katy's annuity after 6 years will be $5268.63.

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\((\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{8}}} \implies \cfrac{ 3 }{ -3 } \implies - 1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{8}) \\\\\\ y-5=-x+8\implies {\Large \begin{array}{llll} y=-x+13 \end{array}}\)