One cable company charges $50 per month for their basic plan, plus $75
installation. A second company charges $55 per month, but offers free
installation. For what number of months is the first plan cheaper than the
second plan?
Write your answer as a number, with no symbols, spaces, or words.
Your answer

Answer:

[tex]20[/tex]

Explanation:

[tex]5[/tex] ÷ [tex]\frac{1}{4}[/tex]

To change the division sign into a multiplication sign, you need to change (1/4) into its reciprocal.

[tex]5[/tex] × [tex]\frac{4}{1}[/tex]

[tex]5[/tex] × [tex]4[/tex]

[tex]20[/tex]

The cost of a swim club membership for a year is $170. The price consists of 12 monthly payments of $20 and a $20 registration fee. From equation, the mth payment is $12.5 per month.

Finding the value m of each monthly payment can be done using the equation 12m+20=170.

To find the amount(m), solve the equation 12m+20=170.

12m=150

M = 150/12

M= $12.5

Consequently, each monthly payment will cost 12.5 in total.

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The equation of the straight line in slope-intercept form is given by

y = -x +6 .

The line of the graph is clearly passing through the points (5,1) and (3,3) .

Hence the slope of the line = (3 - 1) / (3 - 5) = 2 / (-2) = -1

The equation of the straight line will be given by the formula:

y-3 = -1 (x-3)

or, y - 3 = -x +3

or, y + x = 6

One of the most popular ways to display a line's equation is in the slope intercept form, which looks like a straight line.

When the slope of anything like the straight line and in fact the y-intercept are known, the slope intercept formula can be used to determine the equation of a line the y-coordinate of the point where the line crosses the y-axis. A line cannot exist unless every point on the line fulfils an equation.

Hence the equation of the line in slope intercept form is y = -x +6

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The individual error rate needs to be for each of those 5 comparisons is Option B which is 0.01.

Individual error rate = α/m = 0.05/5 = 0.01

The individual error rate is the most extreme likelihood that at least one correlation will inaccurately infer that the noticed contrast is essentially unique in relation to the invalid speculation.

Individual error rates are careful in all cases. Family error rates are careful with equivalent gathering sizes. Assuming that gathering sizes are inconsistent, the true family error rate for Tukey, Fisher, and MCB will be somewhat more modest than expressed, bringing about moderate certainty spans. The Dunnett family error rates are careful with inconsistent example sizes.

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Answer: 69/11

Step-by-step explanation:

-69/-11=

-69*(-1)/(-11*(-1))=

69/11

Answer:

A new bank customer with

P = $ 5000

The bank is offering a simple interes rate

r = 1.9%

a) how much interes will the customer earn in 10 years

A = P(1 + rt)

t = 10 years

Calculation:

First, converting R percent to r a decimal

r = R/100 = 1.9%/100 = 0.019 per year.

Solving our equation:

A = 5000(1 + (0.019 × 10)) = 5950

A = $5,950.00

I = A - P = $950.00

b) After 10 years the account balance will be

The total amount accrued, principal plus interest, from simple interest on a principal of $5,000.00 at a rate of 1.9% per year for 10 years is $5,950.00.

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

I did 1/5 into a decimal which is 0.2 and then i did 7/0.2 because 7 miles and 0.2 miles they stop and then you divide them and get 35

The correct option regarding Sara's and Sam's position between 40 minutes and 80 minutes is given as follows:

C. Were not moving since there was not a change in position.

The graph is given by the image shown at the end of the answer, and the relation graphed is defined as follows:

Distance x Time.

Hence the input and the output variables are given as follows:

Between 40 minutes and 80 minutes, which is a symmetric period around the time of one hour, the graph is constant.

The constant graph means that the position was not changed, that is, they were not moving, hence the correct statement is given by option C.

The problem is given by the image shown at the end of the answer.

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The maximum possible number of elements in B = 68.

A subset B of the set of integers from 1 to 100, inclusive, has the property that no two elements of B sum to 137.

Maximum possible number of elements in B =?

Set of integers = {1, 2, 3, 4, 5......100}

If we divide 137/2 = 68.5

If we add 68+69 = 137

So, we cannot consider number 69 in the subset, it gives us the total numbers we can consider are till 68.

Set B = {1,2,3,4,5,6,7....60,61,68}.

The maximum possible number of elements in B = 68.

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Answer:

Girls

Step-by-step explanation:

out of children there are 15 girl therefore percentage of girl = 15 x 100 =60

25

there are 60% girls in class

Answer:

$19.00

Step-by-step explanation:

After 1st Translation  (x,y) → (x-6.y) = X(-4,4), Y(0,0), Z(1,2)

After 2nd Translation (x, y) → (x+2y+7) = X(4,11), Y(8,7), Z(9,9)

What is translation?

And image After Composition means resultant image after you plot the translated points.

So, Given Vertices are X(2,4), Y(6,0), Z(7,2)

Then after 1st Translation = X(-4,4), Y(0,0), Z(1,2)

After 2nd Translation = X(4,11), Y(8,7), Z(9,9)

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Answer:

12

Step-by-step explanation:

You could think of ratios as fractions :

Whatever we do to the top we must do to the bottom to keep it equivalent .

If we multiply the first thing by something we must do the multiply by the same number to the second.

2 × m = 8

m = 4

3 × m = ?

m = 4

3 × 4 = 12

? = 12

So the number that makes the ratio equivalent is 12

2:3 = 8:12

Hope this helped and have a good day

The mean of the given set of group numbers is 6.6

Given,

In the question:

The Group of numbers are as follows:

6.1, 5.9, 4.2, 5.9 and 10.7

To find the mean of the given set of group of numbers.

Now, According to the question:

Given is the following data:

6.1, 5.9, 4.2, 5.9 and 10.7

We can find the mean of the given set of data using the formula-

Mean (M) = Σ a[i]/n = (Sum of all the elements)/(total number of elements)

Now, n = 5

and Σ a[i] = 6.1 + 5.9 + 4.2+ 5.9 + 10.7 = 32.8

Putting the values in the formula, we get:

M = 32.8/5 = 6.56 = 6.6

Hence, The mean of the given set of group numbers is 6.6

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Answer: 4 an 34

Step-by-step explanation:

The mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics

The vector graphics is defined as the computer graphics that the  visual images are created directly from geometric shapes. It is defined on the Cartesian plane such as lines, curves, texts, ovals and other geometric shapes

The vector artworks are the artwork that created by vector graphics. There will be lines curves, text, oval and other geometric shapes according to the mathematical expression

Therefore, the vector graphics is the mathematical instruction that defines the geometric shapes

Hence, the mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics

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By using angles properties (sum of interior angles of a triangle and so) we will see that the measure of angle x is 120°.

Let's define C as the angle inside the triangle that is adjacent to angle x.

We can see that these two are supplementary angles, then we know that:

C + x = 180°.

We also can see that C is an interior angle of a triangle, and remember that the sum of all interior angles of a triangle is equal to 180°, then we can write

68° + 52° + C = 180°

With that equation, we can find the value of C.

C = 180° - 52° - 68° = 60°

Then.

x + C = 180°

x + 60° = 180°

x = 180° - 60° = 120°

That is the measure of angle x.

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Answer:

17x^2-5x-17

Step-by-step explanation:

(8x^2-6x-8)-(-9x^2-x+9)

8x^2-6x-8+9x^2+x-9

17x^2-5x-17

Dave will need 8 boxes, out of which 7 will be completely full and 2 sweaters will be kept in eighth box.

Number of boxes required for 23 sweaters = total number of sweaters ÷ number of sweaters in each box

Keep the values in above mentioned formula to find the number of boxes required for 23 sweaters.

Number of boxes required for 23 sweaters = 23 ÷ 3

On performing division, we get 7 as quotient and 2 as remainder. This indicates that 7 boxes will be accomodate the sweaters and 2 indicates the remaining sweaters.

Thus, there will be need of 8 boxes in total.

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We are given the following:

[tex]8-3(1-x)=2(x+1)-3[/tex]

To solve for x, simplify both sides of the equation, then isolate the variable.

Hope this helps!

The irrigation system is positioned 9.5 feet

The spray reaches a maximum height of 34.5 feet

The spray reaches all the way to the ground at about 10.87 feet

How to find the maximum height of the spray

The standard form of a quadratic equation is given by the formula

y = ax^2 + bx + c

compared with the given equation h(x) = −x^2 + 10x + 9.5 the solutions are calculated as follows

The irrigation position refers to the value of h(x) at x = 0

h(x) = −x^2 + 10x + 9.5

h(0) = 0^2 + 10*0 + 9.5

= 9.5

The maximum height is at the symmetry of the parabolic curve, for a curve opening downward.

At the symmetry x = -b/2a

x = -b/2a = -10/(2 * -1) = 5, At x = 5, then y is

h(5) = −(5)^2 + 10 * 5 + 9.5 = 34.5

The maximum horizontal distance is at one of the roots solved as

h(x) = −x^2 + 10x + 9.5

x = 10.87 OR -0.87

The maximum distance is the greatest distance form the origin (0, 0). Therefore maximum distance is at x = 10.87 feet

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complete question

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x^2+10x+7.5 where x is the number of feet away from the sprinkler head (along the ground) the spray is.

The irrigation system is positioned____ feet above the ground to start.

The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.

The spray reaches all the way to the ground at about_____ feet away

The point (2,3) translated 2 units to the right is (4,3)

Rotated 90 degrees clockwise around the origin becomes (3,-4)

Then (2,3) is translated 2 units to the right and rotated 90 degrees counterclockwise to become (3,-2). (5,-2)

One of two numbers and/or letters indicating a point's precise location on a map or graph: Zoom in on the map after entering the GPS coordinates.

In two dimensions, points are represented as coordinates (x, y) with respect to the x- and y-axes. An object's x-coordinate, also referred to as the abscissa, is its perpendicular distance from the y-axis as measured along the x-axis.

The domain refers to the first coordinate, which is typically the x-coordinate, and the range refers to the second coordinate, which is typically the y-coordinate.

You do the opposite to determine a point's coordinates in a coordinate system. Starting at the point, move vertically up or down until you reach the x-axis.

The complete question is : The point (2, 3), translated 2 units to the right, becomes (___, ____), then rotated

90° clockwise around the origin it becomes (___, ____). The point (2, 3) rotated

90° clockwise around the origin becomes (____, ____), then translated 2 units to the right it becomes (___,____), which is not the same.

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The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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The length of the diagonal is between 4 and 5.

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The length of the diagonal = √18

Now,

Since, The length of the diagonal = √18

And,  √18 = 4.24

Thus, The number 4.24 is lies between two whole numbers 4 and 5 as;

⇒ 4 < 4.24 < 5

⇒ 4 < √18 < 5

⇒ √16 < √18 < √25

Thus, The length of the diagonal is between 4 and 5.

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The standard equation for the circle with center (14,-48) and radius of 50

is [tex](x-14)^{2} +(y+48)^{2} =2500[/tex]

Standard form: [tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

Given, h =14, k = -48 and r = 50

therefore, The standard equation for the circle with center (14,-48) and radius of 50

is [tex](x-14)^{2} +(y+48)^{2} =2500[/tex]

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The three fractions between 4/5 and 4/6 are 49/30, 73/30 and 69/30

A fraction represents a part of a whole.

We need to find fractions between 4/5 and 4/6

LCD is 30

4×6/30 + 5×5/30

24/30 + 25/30 = 49/30

The fraction between 4/5 and 49/30

4/5+49/30

LCD of 5 and 30

24+49/30

73/30

The fraction between 49/30 and 4/6

49/30+4/6

49+20/30

69/30

Hence the three fractions between 4/5 and 4/6 are 49/30, 73/30 and 69/30

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The slope of the line that goes through these two points is -19/13.

Given points:

(–6, −3), (–19, 16)

slope:

Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant (it never changes) no matter what 2 points on the line you choose.

slope m = y2-y1 / x2-x1

= 16-(-3) / -19-(-6)

= 16+3/-19+6

= 19/-13

= -19/13

Therefore The slope of the line that goes through these two points is -19/13.

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A group of friends were working on a student film. The money did they spend on props is $495.

percentage :

budget of group working on a student film = $1100

They used percentage of their budget on props. = 45%

then money spend on props is calculated as :

= 45% of 1100

= (45/100) x 1100

= 45 x 11

= $495

A group of friends were working on a student film. The money did they spend on props is $495.

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Answer: 60

Step-by-step explanation:

first multiply like terms,

-4 x -5 = 20 [Multiplying two negative signs equal to positive]

3 x 20= 60