A cell phone company charges $25 per month, plus $0.10 per text message sent. Before taxes, Susie’s bill was $80 for 3 months of service. How many text messages did Susie send during those 3

Answer:

Solution given:

<5+69°=180°[co- interior angle]

<5=180°-69°=111°

<5=111°

answer Please my fast Please me

Answer: one senior ticket is $8 and one student ticket is $14

Hope this helps a little

The value of p is 15

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day

Therefore everyday he reads 58+p pages per day

If he reads for 10 days and he reads a total 1408 pages then we have

In a week there is one Saturday

thus

9p+58=1408

9p=1350

p=15

Thus on the other days p is equal to 15 pages per day.

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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.

Answer:

Step-by-step explanation:

wth is college in my recommended anyways here's the answer

your answer is -5

Answer:

your answer is B 6(5.+2y)

forgive me if i am wrong

The length of side AB in right angled triangle ABC  will be 48 cm.

Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.

Given,

∠B= 90°, AC = 96 cm, ∠C = 30°

Now, we know, Trignometric ratio sin θ in triangle can be given by-:

sin θ = \(\frac{perpendicular}{hypotenuse}\)

From given figure,

Perpendicular= AB= ?

and Hypotenuse= AC = 96

and θ= 30°

Hence,

sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)

\(\frac{1}{2} = \frac{AB}{96}\)                                      (∵ sin 30°= 1/2)

\(AB=\frac{96}{2}\)

\(AB= 48 cm\)

Thus, AB= 48 cm

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Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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With the given compound interest, Bond Price = $899.39 i.e. A.

What is Compound interest?

Compound interest is a type of interest that is calculated on both the principal amount and the accumulated interest from previous periods. In other words, it is interest that is earned on interest also.

Now,

To calculate the price of the bonds, we need to use the following formula:

Bond Price = (Coupon Payment / (1 + YTM/2)ⁿ) + (Coupon Payment / (1 + YTM/2)ⁿ⁺¹) + ... + (Coupon Payment + Par Value / (1 + YTM/2)ⁿ*²)

Where:

Coupon Payment = (Coupon Rate x Par Value) / 2

YTM = Yield to Maturity

n = Number of Semi-Annual Periods Until Maturity

Using the information given in the question, we can calculate the coupon payment as:

Coupon Payment = (4% x $1,000) / 2 = $20

We can also calculate the number of semi-annual periods until maturity as:

n = 13 x 2 = 26

Now,

Bond Price = ($20 / (1 + 3%/2)¹) + ($20 / (1 + 3%/2)²) + ... + ($20 + $1,000 / (1 + 3%/2)²⁶)

Bond Price = $899.39

Therefore, the correct answer is (A) $899.39.

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The solution to the equation 3x = 8 - 2x is x = 1.6.

To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:

Express the equation in the form of y = f(x). Rearrange the equation:

3x + 2x = 8

5x = 8

x = 8/5 or 1.6

Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.

Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.

The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).

Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.

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Answer:

3880 ÷ 960 = 4.041

ratio = 4:1

The weight loss rate is approximately \(0.057\) pounds per hour.

To convert the rate of weight loss from pounds per week to pounds per hour, we need to consider the number of hours in a week.

Given:

Weight loss rate: 9.5 pounds per week

We know that there are 7 days in a week and 24 hours in a day. Therefore, the total number of hours in a week is 7 * 24 = 168 hours.

To convert pounds per week to pounds per hour, we divide the weight loss rate by the number of hours in a week:

Weight loss rate in pounds per hour = \(\(\frac{{\text{{Weight loss rate in pounds per week}}}}{{\text{{Number of hours in a week}}}}\)\)

Substituting the given values:

Weight loss rate in pounds per hour = \(\(\frac{{9.5}}{{168}}\)\)

Calculating the value:

Weight loss rate in pounds per hour = \(0.05654761905\)

Rounding to the nearest thousandth:

Weight loss rate in pounds per hour ≈ \(0.057\) pounds per hour

Therefore, the weight loss rate is approximately \(0.057\) pounds per hour.

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Answer:

(-60/11,111/11)

Step-by-step explanation:

Solving simultaneously, 4x - 3y=6   -3(6x + y=42)   then it becomes, 4x - 3y=6

-18x - 3y= 126 subtracting the two equations,   22x= -120, x= -60/11 and y = 111/11

.

Answer:

(-0.5, 1)

Step-by-step explanation:

4x - y = -3    ----------------------(I)

-6x + 3y = 6 -------------------(II)

Multiply equation (I) by 3 and then add. So, y will be eliminated and you can find the value of x.

(I) * 3         12x - 3y = -9

(II)             -6x + 3y = 6          {Now, add}

                6x          = -3

                          x = -3/6

                          x = - 0.5

Plug in x = -0.5 in equation(I)

4*(-0.5) - y = -3

- 2   - y = -3

     -y   = - 3 + 2

    -y   =  -1

     y = 1

The expected value of the random variable E(X) of the the data will be equal to 4.0.

The expected value of a random variable X is given by the formula:

E(X) = ∑x * P(X = x)

where ∑ denotes the sum over all possible values of x.

In this case, the possible values of x are 2, 3, 4, 5, and 6, and the corresponding probabilities are 0.2, 0.1, 0.2, 0.1, and 0.4, respectively. Plugging these values into the formula, we get:

E(X) = (2 * 0.2) + (3 * 0.1) + (4 * 0.2) + (5 * 0.1) + (6 * 0.4)

= 0.4 + 0.3 + 0.8 + 0.5 + 2.4

= 4.0

Rounding to one decimal place, the expected value of X is 4.0.

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Answer:

44.000000001 (exact) or rounded up 44

Step-by-step explanation:

14.666666667*3 because 1 yard= 3 feet

One yard is 3 feet, which means we will have to mutliple 14 2/3 by 3.

14 x 3 =42

2/3 of a yard is 2 feet, which means we must add 2 to 42--->

42+2= 44

14 2/3 yards is 44 feet.

Hope This Helps <3

Answer:

The equation of a line y = ax + b passes point (-8, -33) and point (0, -1) can be formulated by:

(Note: we do not need all of 4 points, 2 points are enough)

-33 = a x (-8) + b

  -1 = a x 0 + b

From 2nd equation, we have:

b = -1

From 1st equation, we have:

b - 8 x a = -33

=> -1 - 8 x a = -33

=> 8 x a = 32

=> a = 4

=>  The equation of line: y = 4a - 1

Hope this helps!

:)

Answer:

The numeric value is a statistic because the data set of salaries of 50 employees is a sample

Step-by-step explanation:

50 of a company's 800 employees is $54,000.

800 is the population, of all the employees of the company

$54,000 is the value of 50 employees which sample or subset is of 800 employees

If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

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Answer:

The absolute value of +98 is simply 98. So, | +98| = 98.

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

The absolute value of a number is its POSITIVE distance from 0, so as +98 is 98 away from 0, then |+98| = 98.

The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.

First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."

Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:

110% of T = 1.1 x T

Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:

Number of boxes = (1.1 x T) / 6

Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:

Total cost = (1.1 x T / 6) x R234

Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.

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The three consecutive odd integers are7,9 and 11.

What is an integer?

⇒ An integer is a whole number that can be positive, negative, or 0.

Examples: -22, 5, 1000

⇒ Any decimal numbers are NOT integers (for example the number 2.76 is not an integer)

What are consecutive odd integers?

⇒ Consecutive odd integers are odd integers that follow each other and they differ by 2. If x is an odd integer, then x + 2, x + 4 and x + 6 are consecutive odd integers.

Calculation:

Let the three consecutive odd integers are x,x+2, and x+4

We have been given that 5 times The smallest is 9 less than 4 times the largest.

It means,

5 times the smallest means (5x) = 9 less than 4 times the largest means(4(x+4)-9)

⇒ 5x=4(x+4)-9

5x=4x+16-9

x=7

Hence the three consecutive odd integers are7,9 and 11.

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The monthly income of the first person is $600.

Given that, the average monthly income of three persons is RS 3,600.

The income of the first is 1/5 of the combined income of the other two.

Here, Let income of the first be A, let income of the second be B and let Income of the third be C.

A+B+C=3600 -----(i)

Income for the first person = 1/5(B+C) -----(ii)

Substitute equation (ii) in equation (i), we get

(B+C)/5 +B+C =3600

B+C+5B+5C=3600×5

6B+6C=18000

6(B+C)=18000

B+C=3000 ------(iii)

Substitute (iii) in equation (i), we get

A=$600

Therefore, the monthly income of the first person is $600.

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Answer:

I hope it helped U

stay safe stay happy

Answer:

Step-by-step explanation:

The number which represents the situation of a withdrawal of $36 is -$36.

In this question, we have to find out the number or integer which represents the situation of a withdrawal of $36. This question is from integers topic and for that we should have the definition of integers in our mind. So, an integer is defined as number which can be represented without the fractional form. It contains whole numbers and negative of natural numbers. The integers are generally denoted by the symbol 'Ζ'. And, the integers can be negative or positive.

In this question we have asked withdrawal of $36 from any source. So, withdrawal basically means money will decrease, so it will become negative.

To represent a withdrawal of $36, we will use the negative sign.

Hence, -$36 is the correct representation of the situation of a withdrawal of $36.

Therefore, -$36 is the required answer.

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Answer:

232−202+17+18

Answer:

Answer = 26.75

Answer = 27

Step-by-step explanation:

\(a^{3} -b^{2} \\a =3\\b =\frac{1}{2} \\3^{3} -(\frac{1}{2} )^{2} \\27 -\frac{1}{4} \\\\\\Answer = 26.75\\Answer = 27\)

Answer:

26 3/4 God bless!

Step-by-step explanation:

Answer:

$0.95

Step-by-step explanation:

Since it cost $2.85 for 3 pounds of apples, dividing 2.85 by 3 will give us one pound of apples.

2.85/3 = $0.95

Hope this helps! Please comment if it does or not. :)

Answer:

9.95h + 5  ≤ 125

Step-by-step explanation:

let 'h' = number of hats

Answer:

54 cm^2

Step-by-step explanation:

side ( a ) = 3 cm

Formula : -

Surface area ( cube ) = 6a^2

Surface area ( cube )

= 6 x ( 3 )^2

= 6 x 9

= 54 cm^2

Answer:

54cm^2

Step-by-step explanation:

There are 6 sides in a cube. One of the sides should have the area of 9, because it's a cube and 3 * 3 is 9.

Considering that one side is \(9cm^{2}\), the surface area should be 9 * 6, which is 54.

The surface area is 54cm^2.