find the sum of first 51term of an AP whose second and third term are 14 and 18 respectively​

Answer:

0 hours = $40

1 hours = $75

2 hours =$110

3 hours =$145

4 hours =$180

5 hours =$215

Step-by-step explanation:

C=Cost in dollars,

n=hours.

Calculating Cost for 0 hours

[tex]C=35n+40[/tex]

[tex]C=(35\times 0)+40[/tex]

[tex]C=0+40[/tex]

[tex]C=40[/tex]

Cost for 0 hours=$40

Calculating Cost for 1 hours

[tex]C=35n+40[/tex]

[tex]C=(35\times 1)+40[/tex]

[tex]C=35+40[/tex]

[tex]C=75[/tex]

Cost for 1 hours=$75

Calculating Cost for 2 hours

[tex]C=35n+40[/tex]

[tex]C=(35\times 2)+40[/tex]

[tex]C=70+40[/tex]

[tex]C=110[/tex]

Cost for 2 hours=$110

Calculating Cost for 3 hours

[tex]C=35n+40[/tex]

[tex]C=(35\times 3)+40[/tex]

[tex]C=105+40[/tex]

[tex]C=145[/tex]

Cost for 3 hours=$145

Calculating Cost for 4 hours

[tex]C=35n+40[/tex]

[tex]C=(35\times 4)+40[/tex]

[tex]C=140+40[/tex]

[tex]C=180[/tex]

Cost for 4 hours=$180

Calculating Cost for 5 hours

[tex]C=35n+40[/tex]

[tex]C=(35\times 5)+40[/tex]

[tex]C=175+40[/tex]

[tex]C=215[/tex]

Cost for 5 hours=$215

Answer:

7 inches.

Step-by-step explanation:

15 inches - 8 inches = 7 inches.

Answer : The length of hair she get cut off her hair is, 7 inches

Step-by-step explanation :

As we are given that the length of Harper's hair is 15 inches. After cutting hair, the length of Harper's hair is 8 inches.

Now we have to determine the length of hair she get cut off her hair.

Length of hair she get cut off her hair = Total length of hair - Length of hair after cutting

Length of hair she get cut off her hair = 15 inches - 8 inches

Length of hair she get cut off her hair = 7 inches

Thus, the length of hair she get cut off her hair is, 7 inches

Answer:

C. 594 > -11n

Step-by-step explanation:

i took the test on edgen

The quadrilateral has diagonals that are perpendicular but not congruent is called a rhombus. Then the correct option is B.

It is a type of polygon that has four sides.

Types of quadrilateral;

Thus, the correct option is B.

More about the quadrilateral link is given below.

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Answer:

Step-by-step explanation:

Depends on how many problems his quiz contains and how many problems he answered correctly.

Answer:

108 full loads

Step-by-step explanation:

Each load uses up 1  1/3 scoops and total there is 145 scoops. So, how many loads of laundry can be washed??

We divide total scoops by number of scoops in each load of laundry. But before we do that, we need to convert the mixed fraction to improper fraction by using the rule shown below:

[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}[/tex]

hence:

[tex]1\frac{1}{3}=\frac{4}{3}[/tex]

Now the division problem:

[tex]\frac{145}{\frac{4}{3}}=145*\frac{3}{4}=108.75[/tex]

So, a whole lot of 108 load of laundry can be washed.

Answer:

x+2

Step-by-step explanation:

we know that

To find out the factors of a polynomial, determine the x-intercepts or zeros of the polynomial

Remember that

The x-intercepts of a polynomial are the values of x when the value of the polynomial is equal to zero

In this problem

Looking at the graph

For x=-2, f(x)=0

so

x=-2 is an x-intercept or zero of the polynomial

To find out the factor move the constant to the left side and equate to zero

[tex]x=-2[/tex]

adds 2 both sides

[tex]x+2=-2+2\\x+2=0[/tex]

therefore

The factor is (x+2)

Answer:

the answer is C

X+2

Step-by-step explanation:

Answer: The rate of change is 11.6666...

Step-by-step explanation:

You subtract 95 by 60 and you get 35.

You divide it by 3 because it happened over 3 weeks.

After dividing your answer is 11.6666...

To calculate the rate of grade change, subtract the final grade from the initial grade, then divide the result by the number of weeks. In this case, the rate of grade change is 11.67, meaning the grades are dropping at a rate of 11.67 points per week.

To calculate the rate of grade change, we should subtract the final grade from the initial grade and divide the result by the number of weeks. In this case, the initial grade is 95 and the final grade is 60. Therefore, the grade change is 95 - 60 = 35. The number of weeks is 3 according to your question.

So, the rate of grade change can be calculated as follows:

Rate of Grade Change = Grade Change / Number of weeks

Substituting the given values:

Rate of Change = 35 / 3 = 11.67

This means, grades are dropping at a rate of 11.67 points per week.

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Answer:

  x = 1

Step-by-step explanation:

To find a solution to this by graphing, you would typically make a graph of the expression on the left, and another graph of the expression on the right. Where they intersect is the solution.

You would graph ...

You're only interested in the x-value where these lines cross, x=1.

_____

Alternate method

Graph the difference of the left side and the right side:

  y = (2x) -(-x +3)

and look for the value of x that makes y = 0. This, too, gives the solution x=1.

__

Of course, once you have the equation ...

  0 = 3x -3

the solution is pretty obvious. (Divide by 3 to make it more obvious.)

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slope = difference in y/difference in x

Substitute the values in:

slope = (4-2)/(5--3)

Simplify:

2/8

Simplify to give the answer:

slope = 1/4

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Answer:

Step-by-step explanation:

(-3,2)  ;  (5,4)  

Slope m = y₂ - y₁ / x₂ - x₁

m = 4 - 2 / 5 - (-3)

 = 2 / 5+3

= 2/8

=1/4

Answer:

[tex]\large \boxed{7.2}[/tex]

Step-by-step explanation:

You could use the distance formula to calculate the length of PQ. I prefer a visual approach, because it requires less memorization.

Draw a vertical line from P and a horizontal line from Q until they intersect at R (9, 2).

Then you have a right triangle PQR, and you can use Pythagoras' theorem to calculate PQ.

[tex]\begin{array}{rcl}PQ^{2} & = & PR^{2} + QR^{2}\\& = & 4^{2} + 6^{2}\\ & = & 16 + 36\\& = & 52\\PQ& = & \sqrt{52}\\& = & \mathbf{7.2}\\\end{array}\\\text{The distance between P and Q is } $\large \boxed{\mathbf{7.2}}$}[/tex]

Answer:

The price of each movie is $2.25

The price of each video games is $5.41  

Step-by-step explanation:

Given as :

Miguel rented 5 movies and 3 video games for a total cost = $27

Next day Miguel rented 2 movies and 6 video games for a total cost = $36

Let The cost of each movie = $m

And The cost of each video game = $v

Now, According to question

5 m + 3 v = 27            .....1

2 m + 6 v = 36          ...........2

Now, solving the equation

2 × (5 m + 3 v)  - (2 m + 6 v) = 2 × 27 - 36

Or, 10 m + 6 v - 2 m - 6 v = 54 - 36

Or, (10 m - 2 m) + (6 v - 6 v) = 18

Or, 8 m + 0 = 18

∴ m = [tex]\dfrac{18}{8}[/tex] = [tex]\dfrac{9}{4}[/tex]

i.e m = $2.25

So, The price of each movie =  m = $2.25

Again, put the value of m into eq 2

So, 2 × 2.25 + 6 v = 36  

Or, 4.5 + 6 v = 36  

Or, 6 v = 36 - 4.5

Or, 6 v = $32.5

∴ v = [tex]\dfrac{32.5}{6}[/tex]

i.e v = $5.41

So, The price of each video games = v = $5.41

Hence, The price of each movie is $2.25 and

The price of each video games is $5.41  Answer

Step-by-step explanation:

The total number of parts is 4 + 1 + 2 = 7.

Nickel is 4/7 of the mass: 4/7 × 35 kg = 20 kg.

Zinc is 1/7 of the mass: 1/7 × 35 kg = 5 kg.

Copper is 2/7 of the mass: 2/7 × 35 = 10 kg.

Answer:

15g 5g 10g

Step-by-step explanation:

Answer:

y+1=5(x+2)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=5(x-(-2))

y+1=5(x+2)

The interest rate is calculated using the formula I = PRT. By rearranging the formula to solve for R and substituting the given values, we find that the interest rate is 6%.

To find the interest rate of a simple interest loan, we can use the simple interest formula: I = PRT, where I is the interest earned, P is the principal amount, R is the interest rate, and T is the time in years. In this question, the student wants to know the interest rate when the simple interest on $6,000 for 9 years is $3,240. From the given information, P = $6,000, I = $3,240, and T = 9 years.

First, we rearrange the simple interest formula to solve for the rate (R): R = I / (PT). Substituting the given values,  we get R = $3,240 / ($6,000 × 9). After performing the calculations, we arrive at R = 0.06 or 6%. Thus, the interest rate is 6%.

Answer:

x = -6

Step-by-step explanation:

The solution means to solve for x. To solve for "x", isolate the variable. This means to separate it from everything else. Do this using reverse operations in reverse BEDMAS order.

2/3 x + 5 = 1​

2/3 x + 5 - 5 = 1​ - 5    Subtract 5 from both sides

2/3 x = -4

(2/3 x) / (2/3) = (-4) / (2/3)     Divide both sides by 2/3

x = (-4) / (2/3)

x = -6    Solution

Answer:

-6

Step-by-step explanation:

Answer: .875

Step-by-step explanation: To write 7/8 as a decimal, it's important to understand that 7/8 means the same thing as 7 divided by 8 so we need to treat this as a division problem.

The first thing you want to ask yourself is how many times does 8 go into 7. Well, 8 doesn't go into 7 so we need to add a decimal point and then a 0 and then ask yourself how many times does 8 go into 70 which is 8 times. So we put an 8 above the 0 and 8 x 8 is 64 so we have 70 - 64 which is 6.

Now, we are not done yet because we still have a remainder. Now ask yourself how many times does 8 go into 6. Since 8 doesn't go into 6, we add another 0 and bring it down and we can now ask ourselves how many times does 8 go into 60 which is 7 times. 7 x 8 is 56 and we subtract it from 60 to get a difference of 4.

We still don't have a remainder of 0 so we continue this process. 8 doesn't go into 4 but it does go into 40 5 times. 5 x 8 is 40 and 40 - 40 is 0. Now we have a remainder of 0 and we know that 7/8 is equivalent to .875.

This would be an example of a terminating decimal because it eventually ends.

Answer:

The vertices are:

A' = (-3, -3)

B' = (3, -3)

C' = (3, 3)

D' = (-3, 3)

The ratio of area of  larger square to smaller square is 9:1

Step-by-step explanation:

Given:

A 2 x 2 square is centered at the origin.

So, the center of the square is (0, 0)

Since it is 2 x 2 square, the side of the square is 2 units.

So, the vertices of the 2 x 2 square are A (-1, -1),  B(1, -1), C(1. 1), D(-1, 1)

The above square is dilated by a factor of 3.

Let's name the dilated square A'B'C'D'

To find the coordinates of the vertices of dilated square, we need to multiply each vertices of ABCD by 3.

A(-1, -1) = 3(-1, -1) = A'(-3, -3)

B(1, -1) = 3(1, -1) = B'(3, -3)

C(1, 1) = 3(1, 1) = C'(3, 3)

D(-1, 1) = 3(-1, 1) = D'(-3, 3)

To find the area of the small square

the side  of the small square is 2 units

so the are of the small square is [tex]2^2[/tex] = 4 square units

To find the area of the larger square

lets find the side AB of the square using distance formula

=>[tex]\sqrt{(x_2 -x_1)^2 +(y_2-y_1)^2}[/tex]

=>[tex]\sqrt{(3 - (-3))^2 +(-3 - (-3))^2}[/tex]

=>[tex]\sqrt{(3 +3)^2 +(-3 +3)^2}[/tex]

=>[tex]\sqrt{(6)^2 +(0)^2}[/tex]

=>[tex]\sqrt{36}[/tex]

=>6

AB =6 units

In a square all the sides will be equal

Now the area of the larger square will be

[tex]6^2[/tex]

36 square units

The ratio of larger square to smaller square is

=>36 : 4

=>9 : 1

Answer:

m∠MKL = 10°

Step-by-step explanation:

Given:

Two angles are given:

m∠JIM = 120°

m∠ILK = 50°

The given angles are angle of triangle ΔIJK.

We know that the sum of the all angles of the triangle is 180°

So, m∠JIK + m∠ILK + m∠JKL = 180°

m∠JIM + m∠ILK + m∠JKL = 180°                    (m∠JIK = m∠JIM)  

Angle m∠JIM and angle m∠ILK is given, so we put the value of angles in above equation.

120° + 50° + m∠JKL = 180°

170° + m∠JKL = 180°

m∠JKL = 180° - 170°

m∠JKL = 10°

Since the longer diagonal bisects the interior angle of the kite therefore the m∠JKL = m∠MKL.

Therefore the m∠MKL = 10°.

In 5 hours Maria will charge $37.5

The complete table

x   y

2  15

4  30

6  45

8  60

10  75

12  90

The equation is Charge (y) = time (x) * 15/2

How to find the amount

If Maria charges $15 for every 2 hours that she babysits. In 5 hours her charge will be

= 5 * 15 / 2

= $37.5

For x = 4, y = 4 * 15/2 = $30

For x = 6, y = 6 * 15/2 = $45

For x = 8, y = 8 * 15/2 = $60

For x = 10, y = 10 * 15/2 = $75

For x = 12, y = 12 * 15/2 = $90

The equation is found to be

Charge (y) = time (x) * 15/2

Answer:

g(f(x)) = -x - 18

Step-by-step explanation:

2x - 6( (x + 6) / (2) )

2x - 3( x + 6)

2x - 3x - 18

-x - 18

Answer:

Option B.

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure it is clear that the center of the given circle is (4,5).

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where, (h,k) is center of the circle and r is radius.

We need to find the equation of a circle which represents the same center as the circle shown but with a radius of 2 units.

Substitute h=4, k=5 and r=2 in the above equation.

[tex](x-4)^2+(y-5)^2=(2)^2[/tex]

[tex](x-4)^2+(y-5)^2=4[/tex]

The required equation is [tex](x-4)^2+(y-5)^2=4[/tex].

Therefore, the correct option is B.

Answer:

B. (x – 4)2 + (y – 5)2 = 4

Step-by-step explanation:

the ratio a:b is 3/5.

To find the ratio a:b in the equation 5a + 3b = 6b, we need to isolate a and b. We start by subtracting 3b from both sides of the equation:

5a + 3b - 3b = 6b - 3b

This simplifies to:

5a = 3b

Next, we can divide both sides of the equation by 3 to solve for a in terms of b:

5a/3 = 3b/3

This simplifies to:

a = (3/5)b

Therefore, the ratio a:b is 3/5.

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The ratio of a to b is 3:5.

To find the ratio a:b from the equation 5a+3b=6b, we can simplify the equation and then express one variable in terms of the other.

Starting with the given equation:

5a+3b=6b

Subtract 3b from both sides of the equation:

5a=3b

Now, divide both sides by 5 to isolate a:

So, the ratio of a to b is 3:5.

Answer:

The weight of the turtles together is [tex]500\ pounds[/tex]

Step-by-step explanation:

we know that

To find out the weight of the 2 sea turtles together, adds the weight of one turtle plus the weight of the other turtle and then round to the nearest hundred

step 1

Adds the weight of the two turtles

[tex]264+186=450\ pounds[/tex]

step 2

Round to the nearest hundred

Remember that

To Round a number

a) Decide which is the last digit to keep  

b) Leave it the same if the next digit is less than [tex]5[/tex] (this is called rounding down)  

c) But increase it by  [tex]1[/tex] if the next digit is  [tex]5[/tex] or more (this is called rounding up)

In this problem we have

[tex]450[/tex]

We want to keep the digit [tex]4[/tex]

The next digit is [tex]5[/tex] which is 5 or more, so increase the "4" by 1 to "5"

therefore

The weight of the turtles together round to the nearest hundred is [tex]500\ pounds[/tex]

For this case we have the following inequality:

[tex]3x-4y> 12[/tex]

We must find an ordered pair of the form [tex](x, y)[/tex] that meets the inequality.

Example:

Pair 1: [tex](x, y) :( 0,0)[/tex]

[tex]3 (0) -4 (0)> 12\\0> 12[/tex]

This pair does not satisfy the inequality.

Pair 2: [tex](x, y) :( 6,1)[/tex]

[tex]3 (6) -4 (1)> 12\\18-4> 12\\14> 12[/tex]

This pair satisfies the inequality!

Thus, the pair[tex](x, y) :( 6,1)[/tex] meets the inequality.

Answer:

[tex](x, y) :( 6,1)[/tex]

Answer:

cosec A = [tex]\frac{17}{15}[/tex]

Step-by-step explanation:

We have,

15 cot A = 8

[tex]\implies cotA = \frac{8}{15}[/tex]

We know that,

  cosec²A - cot²A = 1

⇒cosec²A = 1 + cot²A

Taking square root both sides, we get

[tex]\sqrt{cosec^2A} = \sqrt{1+cot^2A[/tex]

[tex]\implies cosec A = \sqrt{1+cot^2A}[/tex]

[tex]\implies cosec A = \sqrt{1+(\frac{8}{15})^2}[/tex]

[tex]\implies cosec A=\sqrt{1+\frac{64}{225}}=\sqrt{\frac{289}{225}}=\frac{17}{15}[/tex]

So, the value of cosec A is [tex]\frac{17}{15}[/tex].

The part of Charlie's family with blue eyes is represented by the decimal 0.4, calculated by dividing the number of people with blue eyes (2) by the total number of family members (5).

To represent the part of Charlie's family that has blue eyes using a decimal, we need to divide the number of people with blue eyes by the total number of people in the family.

There are two people with blue eyes and three with brown eyes, making a total of five people in the family.

Therefore, the fraction of the family that has blue eyes is

[tex]\frac{2}{5} = 0.4[/tex]

The decimal form of 2/5 is 0.4. So, the answer is A. 0.4.

Answer:

[tex]20.83[/tex]

Step-by-step explanation:

[tex]12 \times x = 250 \\ 12x = 250 \\ \frac{12x}{12} = \frac{250}{12} \\ x = 20.83[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The equivalent value of the equation is A = 12 x 20.833 = 250

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p

Let the second number be q

Now , A = pq

when the value of p = 12

And , when the value of q

On simplifying the equation , we get

250 = 12 x q

So , the left hand side of the equation is equated to the right hand side by the value of 12 x q

250 = 12 x q

Divide by 12 on both sides , we get

q = 250/12

On simplifying , we get

q = 20.833

Therefore , the value of q = 20.833

Hence , the expression is A = 12 x 20.833 = 250

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