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Explanation:

We're adding terms in the form (2n+5)

The first term is when n = 3, so

2n+5 = 2*3+5 = 6+5 = 11

The next term is when n = 4, so

2n+5 = 2*4+5 = 8+5 = 13

The next term is when n = 5, so

2n+5 = 2*5+5 = 10+5 = 15

And so on

This means,

[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]

which matches with choice C. The three dots indicates the pattern goes on forever.

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Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.

I.e,

[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]

Answer:

48s plus 12p - 18

Step-by-step explanation:

Answer:

Add 48 + 12 and Subtract the sum from 18 (14+12-18)

Step-by-step explanation:

Sorry if I'm confusing you ;(

Step-by-step explanation:

Let the amount of apples bought be x

Amount of strawberries bought be y and;

amount of oranges bought be z

If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30, then this will be expressed as;

2x+3y+4z = 15.30 ........... 1

If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90, this will be expressed as:

4x+y+2z = 10.90 ......... 2

If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:

5x+2y+x = 13.70 .......... 3

Solving the three equations simultaneously:

2x+3y+4z = 15.30 ........... 1

4x+y+2z = 10.90 ......... 2

5x+2y+z = 13.70 .......... 3

Reduce the number of equations

multiply equation 1 by 2 and subtract from equation 2

equation 1 * 2 will give:

4x+6y+8z = 30.6 ........... 4

eqn (4)-eqn(2)

6y-y + 8z-2z = 30.6-10.90

5y+6z = 19.7 ......... 5

Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.

eqn(2)* 5 will give:

20x+5y+10z = 54.5 .......... *

eqn(3) * 4 will give

20x+8y+4z = 54.8.......**

Subtsrct ** from *

8y-3y+(4z-10z)= 54.8-54.5

5y-6z = 0.3 .................. 6

Equate 5 and 6 and solve:

5y+6z = 19.7 ......... 5

5y-6z = 0.3 .................. 6

subtract:

6z+6z = 19.7+0.3

12z = 20

z = 20/12

z = 1.67

Substitute z = 1.67 into eqn 6

5y-6(1.67) = 0.3

5y - 10 = 0.3

5y = 10.3

y = 10.3/5

y = 2.06

Substitute z = 1.67 and y = 2.06 into equation 1

From 1:

2x+3y+4z = 15.30

2x+3(2.06)+4(1.67) = 15.30

2x+6.18+6.68 = 15.30

2x+12.86 = 15.30

2x = 15.30-12.86

2x = 2.44

x = 2.44/2

x = 1.22

Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67

Answer:

7

Step-by-step explanation:

x = 2

3x/2+4

3(2)/2 + 4

3+4

7

Answer:

j+z+12

Step-by-step explanation:

Answer: 2

Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.

Answer:

A.

Step-by-step explanation:

The Answer is A

Answer:

25/2 or 12 1/2 or 12.5

Step-by-step explanation:

Given:

[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.

Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.

There are 48 blue raspberry and cherry flavored ice sticks altogether.

To find:

The total number of ice sticks.

Solution:

Let x be the total number of ice sticks.

[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.

Blue raspberry [tex]=\dfrac{2}{5}x[/tex]

Remaining raspberry [tex]=x-\dfrac{2}{5}x[/tex]

                                   [tex]=\dfrac{3}{5}x[/tex]

Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.

Grape [tex]=\dfrac{1}{3}\times \dfrac{3}{5}x[/tex]

          [tex]=\dfrac{1}{5}x[/tex]

Cherry [tex]=\dfrac{3}{5}x-\dfrac{1}{5}x[/tex]

           [tex]=\dfrac{2}{5}x[/tex]

There are 48 blue raspberry and cherry flavored ice sticks altogether.

[tex]\dfrac{2}{5}x+\dfrac{2}{5}x=48[/tex]

[tex]\dfrac{4}{5}x=48[/tex]

[tex]x=48\times \dfrac{5}{4}[/tex]

[tex]x=60[/tex]

Therefore, the total number of ice sticks is 60.

Answer:

every 8 mins

Step-by-step explanation:

bus b

The equation of the problem is [tex]5(n+7)[/tex]

The sentence is asking 5 times the sum of n+7, so you are multiplying (n+7) by 5.

Answer:

The answer is $159

Step-by-step explanation:

2b + 3 - Day 1

4b + 6 - Day 2

6b + 9 - Day 3

477=6b+9

-9          -9

468=6b

78=b

(2x78) + 3 = 159

The answer is $159

Answer:12x+10y-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

8/5-12x

Step-by-step explanation:

-4(-2/5+3x)

Multiply each term inside the parentheses by -4

-4 * -2/5 + -4 * 3x

8/5-12x

Answer:

-1.6+12x

Step-by-step explanation:

First you do -4*2/5 + -4*3x. Which will give you -1.6+ 12x

Answer:

.44 repeating would be your decimal of dogs that weigh under 20 pounds.

Step-by-step explanation:

Answer:

.44

Step-by-step explanation:

Answer:

y=mx

Step-by-step explanation:

i think thats the equation am pretty sure tho

Answer:

what are the other ways two straight lines could intersect in the coordinate plane How many solutions would each of these options haver

Answer:

Step-by-step explanation:

On the 2nd equation, turn the slope the -3x. This creates two parralel lines.

Two linear equations will always be parallel and never intersect if their y-intersect is different and their slope is the same.

Answer:

the answer is d

Step-by-step explanation:

it would be 9.7 x 10^3

Answer:

10 is the answer. 1:50 is 10:500 simplified

Step-by-step explanation:

500÷50=10.

Answer:

5

Step-by-step explanation:

Answer:

1 time

Step-by-step explanation:

Answer:

241

Step-by-step explanation:

241

Answer:

241

Step-by-step explanation:

2^8 - 10 -15 / 3

256 - 10 - 15 / 3

256 - 10 - 5

246 - 5

241

Hope this helps!

Answer:

i don't know, i just want to know if you got it right

Step-by-step explanation:

The correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

Mr. Jones and Mr. Smith both plan to retire in 5 years.

From the formula:

The rate of interest is the same for both cases.

The duration for Mr. Jones is 20 years

The Initial investment amount for Mr. Jones = $250

The duration for Mr. Smith is 10 years

The initial investment amount for Mr. Smith = $500

Mr. Jones will have more money because he invested for a longer period of time.

Thus, the correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.

Learn more about compound interest here:

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Answer:

3.81

Step-by-step explanation:

The inequality will be x ≥ 2.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given is an inequality, 4x - 3 ≥ 5,

We need to solve for x,

4x - 3 ≥ 5

Add 3 to both sides,

4x - 3 + 3 ≥ 5 + 3

4x ≥ 8

Divide the inequality by 4,

4x / 4 ≥ 8 / 4

x ≥ 2

Hence the inequality will be x ≥ 2.

Learn more about inequality click;

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Answer:

-4 Degrees Fahrenheit

Step-by-step explanation:

Given

[tex]Initial\ Temperature = 8[/tex] ---- at 10am

[tex]Difference = -3[/tex]

Required

Determine the final temperature at 2pm

First, we need to determine the hour from 10am to 2pm (Both inclusive)

[tex]Interval = 2pm - 10am + 1hr[/tex]

[tex]Interval = 4hr + 1hr[/tex]

[tex]Interval = 5hr[/tex]

To solve further, we make use of the following Arithmetic Progression formula:

[tex]T_n = a + (n - 1)d[/tex]

Where

[tex]a = 8[/tex] --- Initial

[tex]d = -3[/tex] --- difference

[tex]n = 5[/tex] -- 5th term

[tex]T_n[/tex] --- Final temperature at 2pm

So: we have:

[tex]T_n = 8 + (5 - 1) * -3[/tex]

[tex]T_n = 8 + (4) * -3[/tex]

[tex]T_n = 8 + 4 * -3[/tex]

[tex]T_n = 8 -12[/tex]

[tex]T_n = -4[/tex]

Hence:

The temperature is -4 Degrees Fahrenheit

Answer:

14

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

x+7+7=4x+2 simplify