The sum of 3 consecutive even numbers is 78.
What is the second number in this sequence?

Answers

Answer 1

Answer: 26

Step-by-step explanation:

1. Make an equation

n+n+2+n+4=78

(You have n+2 because to get to the next even number you'd have to add 2. For example, 2 is even, to get to the next even number, 4, you have you add 2.)

2. Combine like terms

3n+6=78

3. Solve for n

3n=72

n=24

4. Solve for the second number

(The second number would be n+2)\

n+2

24+2

26

ANSWER: 26


Related Questions


Ken reads 1 1/2 pages in a book in 3/4 minute. How many minutes does it take him to read one page

Answers

1 1/2 pages = 3/4 minutes

x pages = 1 minute

Therefore, x = 1 1/2 divided by 3/4 = 2 minute

what is the rotational symmetry of this please somone tell me

Answers

The rotational symmetry of the above attached figure is 4 ...

What is the rotational symmetry ?

= Rotational symmetry is the number of times a shape can “fit into itself” , when it is rotated 360° about its centre....

Example: Rotational Symmetry of Equilateral Triangle..

Equal sides and angles define an equilateral triangle.

• How can u find rotational symmetry ?

= An object has rotational symmetry if that figure is itself after you rotate it less than 180 degrees. If it is itself after exactly 180 degrees no more no less then that figure has point symmetry.

The rotational symmetry of the above attached figure is 4 ...

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i dont understand it

Answers

The given expression 7x - y = -9 in the slope intercept form can be represented as y = 7x + 9.

The expression given to us is -

7x - y = -9

We have to represent this in the slope intercept form.

The slope intercept form can be represented as -

y = mx + c

where, y = y coordinate of the line

           m = slope of the line

            x = x coordinate of the line

            c = y intercept of the line

Thus, representing the given expression in the slope intercept form, we have

7x - y = -9

=> -y = -7x - 9

=> y = 7x + 9

Thus, the given expression in the slope intercept form can be represented as y = 7x + 9.

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Question content area top Part 1 The length of the base of an isosceles triangle is 2x-6. The length of a leg is x. The perimeter of the triangle is 43 . Find x.

Answers

The value of x in the isosceles triangle is 9.25.

What is the value of x?

An isosceles triangle is a polygon that has three sides. The opposite length have the same length and equal angles.  has two opposite sides. If the two angles are equal , it means the triangle is an isosceles.

Th perimeter of an isosceles triangle is the sum of the length of the three sides of the triangle.

Perimeter = (2 x length of leg) + base

43 = (2x x) + 2x - 6

43 = 2x + 2x - 6

43 = 4x - 6

43 - 6 = 4x

37 = 4x

x = 37 / 4

x = 9.25

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The people at a party tried to form teams with the same number of people on each team, but when they tried to split up into teams of 2, 3, 5, or 7, exactly one person was left without a team. What is the smallest number of people (greater than $\color[rgb]{0.35,0.35,0.35}1$) who could have been at the party?

Answers

The smallest number of people when one could have been at the party is 211 people.

How to illustrate the information?

This is a least common multiple question, also known as an LCM. We know this because all groups would have formed evenly if the one extra person had not arrived at the party. This means that there are 1 more people at the party than a number 2, 3, 5, or 7.

In this case, the number will be:

= (2 × 3 × 5 × 7) + 1

= 210 + 1

= 211

Applicable multiples of 7

(7 × 10) = 70 → 70 + 1 = 71 → 71/3 = 23 R2 → not possible

(7 × 20) = 140 → 140 + 1 = 141 → 141/3 = 47 → not possible

(7 × 30) = 210 → 210 +1 = 211 → 211/3 = 70 R1 → possible.

Therefore, the number of people is 211.

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describe the end behavior of each function

Answers

Answer:

f(x) = - x² + 2x - 2 :

x → - ∞

f(x) → - ∞

f(x) = x⁴ + 3x² + x - 3 :

x → ∞

f(x) → ∞


f(x) = -x² +9
Find f(-5)

Answers

Answer:

f(-5) = -16

Step-by-step explanation:

f(-5) =  -  [tex](-5)^{2}[/tex] + 9

-(25) + 9

-25+9

-16

THE RIGHT ANSWER GETS 10 POINTS AND BRAINLIEST
An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long it will take for the tank to fill completely? (1 point)

a
1 over 12 • 3 hours

b
1 over 3 • 12 hours

c
1 over 3 • 1 over 12 hour

d
3 • 12 hours

Answers

Answer:

B. 1 over 3 x 12 hours

Step-by-step explanation:

The oil company fills 1/12 of a tank in 1/3 an hour. So, you multiply 1/3 times 12, since 12 is a full tank. It'll take 4 hours to fill the tank at this rate.

1/12 tank: 1/3 hour

2/12 tank: 2/3 hour

3/12 tank: Full hour

3/12 is equivalent to 1/4, meaning 1/4 of the tank is filled after 1 hour. Thus, it'll take 4 hours.

g if the standard deviation of the lifetimes of television tubes is estimated to be 100 h, how large a sample must we take in order to be (a) 95%, (b) 99%, and (c) 99.73% confident that the error in the estimated mean lifetime will not exceed 20 h?.

Answers


So the of 95% is 19/24 and 99%is 33/40
And 34/40 means diffelction from mean value. That is

Given that the standard of life time is 100h
And life is not exceed by 20 h
So maximum life time will be 120 h
And minimum life time will be 80 h
So a) if he is 95 % confident than
P(x<20) is 100/120
=5/6
As he 95% confident than
5/6*95/100
5/6*19/20
19/24
B) 99%
So it will be equal to 5/6*99/100
33/40
C) 99.73
So it will be equal to 5/6*99.73/100
Approx
34/40

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how many solutions does have 9x+3=6x-12=3x

Answers

Answer:  only one solution

Step-by-step explanation:

9x + 2/3 = 3x + 3 is a linear equation.

Linear equations only have one solution as the lowest power in numbers is 1.

9x + 2/3 = 3x + 3

9x - 3x = 3 - 2/3

3x = 7/3

x = (7/3)/3

x = 7/9

WILL GIVE 20 POINTS IF RIGHT PLEASE HELP
Given the points E(-4,k) and F(k,7) find the value of K so that the slope of EF is 2/3.​

Answers

Answer:The answer is:

k

=

2

.

Given two point,

A

(

x

a

,

y

a

)

and

B

(

x

b

,

y

b

)

the slope of the line that passes from them is:

m

=

y

b

y

a

x

b

x

a

.

So:

2

=

6

2

k

4

2

(

k

4

)

=

4

2

k

+

8

=

4

2

k

=

4

k

=

2

.

Step-by-step explanation:The answer is:

k

=

2

.

Given two point,

A

(

x

a

,

y

a

)

and

B

(

x

b

,

y

b

)

the slope of the line that passes from them is:

m

=

y

b

y

a

x

b

x

a

.

So:

2

=

6

2

k

4

2

(

k

4

)

=

4

2

k

+

8

=

4

2

k

=

4

k

=

2

.

Elena said the equation 8x + 16 = 2x + 16 has no solutions because 8x is greater than 2x. Do you agree with Elena? Explain your reasoning.

Answers

Answer:6x

Step-by-step explanation: Put the x's on one side and other on the other side

Answer:

The equation has a solution,

x = 0

Step-by-step explanation:

Given equation,

→ 8x + 16 = 2x + 16

Now the value of x will be,

→ 8x + 16 = 2x + 16

→ 8x - 2x = 16 - 16

→ 6x = 0

→ x = 0/6

→ [ x = 0 ]

Hence, the value of x is 0.

23.89$+41.25$ plis help plis

Answers

its actually 65.14 US$!! hope this helps you out

Answer:

$65.14

Step-by-step explanation:

You will line up the numbers according to the decimal points.

You add as you normally would, ignoring the decimal point.

When you get your answer you will bring the decimal point down.

(How your problem should look:)

  $41.25

+ $23.89

  $65.14

The length of the bae of an iocele triangle i x. The length of a leg i 4x−3. The perimeter of the triangle i 66. Find x.

Answers

Answer:

x = 8

Step-by-step explanation:

since the triangle is isosceles then the 2 legs are congruent, that is both 4x - 3

the perimeter is the sum of the 3 sides , that is

x + 4x - 3 + 4x - 3 = 66

9x - 6 = 66 ( add 6 to both sides )

9x = 72 ( divide both sides by 9 )

x = 8

vthe waitress at the restaurant provided really good service so you and your friends decided to add on an 20% tip to your $32 bill. how much money will be added onto the bill for the tip?

Answers

The answer of the given question is $6.4, this is the money that need to be added onto the bill for the tip.

How to calculate a 20% tip?

To calculate tip, we need to multiply the total bill by 1 plus the decimal percentage tip we'd like to leave. If we wanted to leave a 20% tip, we would add 1 to 0.20 to get 1.20. Then, multiply the bill by 1.20 to get the total amount we'd leave including tip.

In this case, we have a $32 bill and we would like to add on an 20% tip. So, it will be as follows:

20% = 0.20

1 + 0.20 = 1.20

Total bill will be 1.20 x $32 = $38.4

Hence, the tip amount is $38.4 - $32 = $6.4

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1.109, 1.1, 1.19, 1.1091 order these numbers from least to greatest

Answers

1.1 < 1.109 < 1.1091 < 1.19
1.1, 1.109, 1.1091, 1.19

If a1 = 3 and an = 5an-1 + 3 then find the value of a4.

Answers

Answer:

Step-by-step explanation:

4a

What is What is 2/5+(1/2)2

The 2 is an exponent

And the others are fractions
2/5+(1/2)

Answers

The value is 13/20

We do simplification here

2/5+1/4

=(8+5)/20

=13/20

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Which is the order from least to greatest of the following: six fifths, eight ninths, 0.5, forty percent?

forty percent, 0.5, eight ninths, six fifths
six fifths, eight ninths, 0.5, forty percent
0.5, forty percent, six fifths, eight ninths
eight ninths, 0.5, six fifths, forty percent

Answers

The order from least to greatest is "forty percent, 0.5, eight-ninths, six-fifths".

What is a fraction?

A fraction is a part of the whole represented by a/b, where a and b are any integers.

The given numbers are,

six fifths = 6/5 = 1.2

eight ninths = 8/9 = 0.9

0.5

40% = 0.4

Therefore, the order from least to greatest is "forty percent, 0.5, eight-ninths, six-fifths".

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Determine whether each expression is equivalent to
(3+) t+3
9.27t
3².27t
Equivalent
O
Not Equivalent
K
3t² + 3t

Answers

Answer: The answer is 81m + 27t

Step-by-step explanation:

Answer: (3t)^t+3 and 3^t^2 x 27^t are both equivalent to the expression while 9^t x 27^t is not equivalent.

Step-by-step explanation:

To raise money for after-school programs at an elementary school, a group of parents is holding a weekend of games in a community center. They charge $8 per person for entry into the event. The group would like to earn at least $600, after paying for the cost of renting the space, which is $40 an hour.

Answers

The inequality represents the situation group of parents who would like to earn at least $600, after paying for the cost of renting the space $40 an hour, and charging $8 per person for entry into the event is 8x - 4y ≥ 600, and x > 0, Y > 0.

We are given the following;

They charge $8 per person for entry into the event.

The group would like to earn at least $600, after paying for the cost of renting the space, which is $40 an hour.

Let the number of people be x and the number of hours they are present in the space be y.

Per person entry cost is $8.

Donations by all the people entering the space are 8x.

The per hour cost of rent is $40.

The total cost of renting the space is 40y which will be subtracted from the total amount of donations.

They plan to earn a minimum of $600.

So, the inequality will be given by;

8x - 4y ≥ 600 and x > 0, Y > 0.

Thus, the inequality represents the situation group of parents who would like to earn at least $600, after paying for the cost of renting the space $40 an hour, and charging $8 per person for entry into the event is 8x - 4y ≥ 600, and x > 0, Y > 0.

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What is the percent of increase from 5 to 8

Answers

Answer: 60%

Step-by-step explanation:

(5 × p) / 100 = 3

((5 × p) / 100) × 100 = 3 × 100

5p = 300

5p / 5 = 300 / 5

p = 60

Percent Increase = 60

The volume of the solid bounded above by the parabolic cylinder
z
=
1

y
2
, below by the plane
3
x
+
3
y
+
z
+
10
=
0
, and on the sides by the circular cylinder
x
2
+
y
2

x
=
0
. (A triple integral)

Answers

The volume of the solid bounded above by the parabolic cylinder is 191π/64.

Given:

the Parabolic cylinder z=1−y^2 and below the plane 3x+3y+z+10=0 and on the sides of circular cylinder x^2+y^2−x=0.

[tex]x^2+y^2-x=(x-\frac12)^2 +y^2-\frac14=0[/tex]

Recenter the circle with x−1/2=u and integrate the volume over the disk

u^2+y^2 = 1/4.

[tex]\int_{u^2+y^2 < \frac14} [(1-y^2)-( -2x-3y-10)][/tex]

[tex]=\int_{u^2+y^2 < \frac14} (2u+3y-y^2 +12)[/tex]

[tex]=\int_{u^2+y^2 < \frac14} (12-y^2)[/tex]

[tex]=\int_0^{2\pi}\int_0^{1/2} (12-r^2 \sin^2\theta)rdr d\theta =\frac{191\pi}{64}\\[/tex]

Therefore The volume of the solid bounded above by the parabolic cylinder is 191π/64.

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For the following right triangle, find the side length x.
24
10
x

Answers

The side length, x, of the right triangle will be 26 units.

According to the question,

We have the following information:

In a right triangle, two of the sides are 24 units and 10 units.

The complete question is that 24 units is the perpendicular and 10 units is the base of the given right triangle.

Let's denote hypotenuse with h, perpendicular with p and base with b.

We will find the hypotenuse of the triangle using the Pythagoras theorem:

[tex]h^{2} = b^{2} +p^{2}[/tex]

[tex]h^{2}= (24)^{2}+ (10)^{2}[/tex]

[tex]h^{2} = 476+100\\h^{2} = 576[/tex]

h = √576

h = 26 units

Hence, the side length, x, of the right triangle will be 26 units.

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A store is offering a 25% discount on all electronics during a special weekend sale. Marcia wants to buy a television that regularly costs p dollars. She has written the expression 0. 75p to represent the sale price. Which is the best description for her expression?.

Answers

Marcia has written the expression 0. 75p to represent the sale price. The best description for her expression is she multiplied p by 0.25 then subtracted that from p.

How to express the sale price?

The sale price is the price after discount. Discount is the amount by which the origin price of an item is reduced. In this case, Marcia wants to buy a television with the origin prices is p dollars. The store is offering 25% discount.

p = the origin price

25% discount = 0.75p

The sale price = p - (0.25p)

So, the best description for Marcia's expression is  multiplied p by 0.25 then subtracted that from p.

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Write an equation of the line with the given slope and y-intercept
Slope: 4
y-intercept: -8

Answers

y=4x+-8 is your answer

[tex]y = 4x -8\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

How many quart of pure antifreeze mut be added to 5 quart of a 10% antifreeze olution to obtain a 30% antifreeze olution?

Answers

The amount of pure antifreeze that needs to be added = 1.429 quarts

What is antifreeze ?

A colored liquid called antifreeze, often known as engine coolant, is combined with water to assist regulate your engine in extremely hot weather.

Let x be the amount of pure antifreeze that needs to be added

The amount of pure antifreeze added (x) plus the amount of pure antifreeze in the 5 quart of 10% antifreeze solution [ 0.1*5] should be equal to the amount of pure antifreeze in the final mixture [ 0.3*(5+x) ]

The equation obtained is:

x+[0.10*5]=0.30(5+x)

x+0.5=1.5+0.30x

x-0.30x =1.5-0.5 = 1

0.70x=1

divide each side by 0.70

x=1.429 quarts

So, the amount of pure antifreeze that needs to be added = 1.429 quarts

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Sheri's house is 0.05 miles from Abdul's house. The post office is 0.1 mile from Abdul’s house. The school is 38mile from the post office.
If Sheri stops at Abdul’s house and the post office on her way to school, how far will Sheri walk in all?

Answers

Just add all the distances I think

Answer:

233

Step-by-step explanation:

is 23/25 greater than or less than9/10

Answers

23/25 is greater than 9/10

23/25=92/100

9/10=90/10

92>90

9. Emily measured the depth of water in a bathtub at two-minute intervals after the tap was turned off and the
stopper released. The table shows her data.
a) Make a scatter plot for the data.
b) Describe the correlation of the scatter plot.
c) What will the approximate depth be at 15 seconds?

Answers

Considering the data in the table, it is found that:

a) The scatter plot is given by the image at the end of the answer.

b) The correlation of the scatter plot is negative, as when the input increases the output decreases.

c) The estimate for the depth at 15 seconds is of 50.37 cm.

How to built the scatter plot?

The scatter plot is built inserting all the points in the table, which are in the following format:

(Time, Depth).

Hence the points are given as follows:

(2, 47), (4, 41), (6, 38), (8, 37), (10, 32), (12, 24), (14, 20), (16, 19).

From both the table and the scatter plot given by the image at the end of the answer, as the input increases, the output decreases, hence the scatter plot has a negative correlation.

To make a prediction for a given input, the line of best fit has to be constructed using these points.

Inserting these points into a linear regression calculator, the line of best fit is:

y = -2.07x + 50.89.

At a time of 15 seconds = 0.25 minutes, the depth will be of:

y = -2.07 x 0.25 + 50.89 = 50.37 cm.

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There was no Congress underthe Articles of Confederation. True or false distinguish between legally required and discretionary benefits. discuss different types of benefits based on their purpose. johnson company manufactures a variety of shoes, and has received a special one-time-only order directly from a wholesaler. johnson has sufficient idle capacity to accept the special order to manufacture 15,000 pairs of sneakers at a price of $7.50 per pair. johnson's normal selling price is $11.50 per pair of sneakers. variable manufacturing costs are $5.00 per pair and fixed manufacturing costs are $3.00 a pair. johnson's variable selling expense for its normal line of sneakers is $1.00 per pair. what would the effect on johnson's operating income be if the company accepted the special order? what are the 5 slave codes A baker makes 164 cupcakes. To complete an order, he needs 36 more cupcakes. He packs the cupcakes in boxes teach hold 9 cupcakes. How many boxes will the baker need to pack the whole order?A) 14 boxesB) 15 boxes22 boxes23 boxes If the figures below are similar, find the ratio of the sides of Figure B to Figure A. even after baldwin made strides in educating more people in the state of georgia wit groups of people were probably still excluded A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number ofmachines made. If .x machines are made, then the unit cost is given by the function C (x)=0.5x-320x+68,684. What is the minimum unit cost?Do not round your answer. Which of the following is an example of benevolent sexism?a) "Women have a superior moral sensibility."b) Once a man commits, she puts him on a tight leash."c) Women are less skilled in mathematics than men."d) "On the whole, women make bad political leaders than men." One batch of pink paint uses 2 cups of red paint and 7 cups of white paint. Mai made a largeAmount of pink paint using 14 cups of red paint.1. How many batches of pink paint did she make?2. How many cups of white paint did she use? Jerry's seed palace claims that 80% of its lima bean seeds will germinate. Suppose the company's claim is true. Callie buys a packet with 20 lima bean seeds from jerry's seed palace and plants them in her garden. What is the probability that exactly 14 seeds will germinate?. What's 237 to the square root? pls help meanswer the one you can see especially number 6 to the end Your penfriend has asked you to enclose two photos that are important to you when you nextwrite.Write a letter to your penfriend.In your letter you should: describe what can be seen in each photo; explain why each photo is special to you; ask your friend to send you two of his/her favourite photos.The pictures above may give you some ideas, but you are free to use any ideas of your own.Your letter should be between 100 and 150 words long. Do not write an address.You will receive up to 5 marks for the content of your letter, and up to 5 marks for the style and accuracyof your language. Travis had a box of 68 french fries. He gave 13 french fries to each of f friends. Which expression shows how many french fries he had left after giving some to his friends? A. 68 - f 13 B. (68 + f) 13 C. 68 + f 13 D. (68 - f) 13 every four years the parties send delegates to a national convention. what is one of their major responsibilities? which are torts rather than crimes? select all that apply. Simplify -1 2/3 minus 9 2/5 Gabe Amodeo, a nuclear physicist, needs 30 liters of a 60% acid solution. He currently has a 40% solution and a 70% solution. How many liters of each does he need to make the needed 30 litersof 60% acid solution?Gabe needs ___ of the 40% solution. In AMNO, o = 9.4 inches, n = 1.8 inches and ZN=39. Find all possible values of 20,to the nearest 10th of a degree