Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers. Find the largest odd number.

Answers

Answer 1

Answer: 15

Step-by-step explanation:

suppose;  three consecutive odd integers are x; x + 2; x+ 4 (x is a odd integer)

because Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers

=> 5(x + 2) = 3( x +x +4) - 13

<=> 5x + 10 = 6x + 12 - 13

<=>6x - 5x = 10 + 13 - 12

<=> x = 11

=> the largest odd number is 11 + 4 = 15

Answer 2

The largest of the three consecutive odd integers which could be written as a, a+2 and a + 4 is 15

Let the integers be : a, a + 2, a + 4

Creating a mathematical equation using the scenario given.

5(a + 2) = 3(a + (a + 4)) - 13

Open the bracket bracket

5a + 10 = 3(2a + 4) - 13

5a + 10 = 6a + 12 - 13

5a + 10 = 6a - 1

Collect like terms

5a - 6a = - 1 - 10

-a = - 11

a = 11

The largest integer = a + 4 ; 11 + 4 = 15

Therefore, the largest of the consecutive odd integers is 15

Learn more : https://brainly.com/question/18109354


Related Questions

HURRY PLEASE!! I’ll mark you as brainliest!! im being timed

the graph represents the water path of a fire hose. what is the maximum value of the function? explain what the maximum value represents in this situation.

Answers

Answer:

24 will be the maximum value of this graph

Answer: the maximum value is 24 vertical and 20 horizontal

Step-by-step explanation:

if you haven't pulled a knife out on yo siblings you aint real siblings

Answers

Answer:

yup

Step-by-step explanation:

Line m contains the points (−3, 2) and (5 , 1). Line n contains the points (2 , 7) and (1, −1) . Which statement is TRUE about lines m and n?
A. The lines are parallel.
B. The lines are coincident.
C. Both lines intersect but are neither parallel nor perpendicular.
D. The lines are perpendicular.

Answers

9514 1404 393

Answer:

  D.  The lines are perpendicular

Step-by-step explanation:

The first line has a rise of (1-2) = -1 for a run of (5-(-3)) = 8.

The second line has a rise of (-1-7) = -8 for a run of (1-2) = -1.

Then the slopes are -1/8 and -8/-1 = 8, which are negative reciprocals of each other. Lines with slopes having that relationship are perpendicular.

Will give brainliest find the slope.

Answers

Answer:

-1/10 for first one and -4/2 for second one

Step-by-step explanation:

lol can I have brainliest?

Hello!

Okay, so: To find the slope, you can use the slope formula: y2-y1/x2-x1...

Let's begin.

Start by plugging in given values into the formula. We can see from looking at the chart that,

y2 = -2

y1 = 3

x2 = 2

x1 = -8

Those are for set 1. So, Let's plug these values into the slope formula:

-2 - 3/2 - (-8)

Subtract

-5/10

Now divide

-1/2 or -0.5

Okay, now let's move on to Set 2.

Set 2:

We're going to do the exact same thing here that we did earlier. Given from the chart:

y2 = -3

y1 = -1

x2 = -2

x1 = 4

Plug them into the formula:

-3 - (-1) / -2 - 4

Subtract

-2 / -6

Divide

1/3

So, for set 1, the slope is -1/2. For set 2, the slope is 1/3.

Simplify the expression

Answers

Answer:

           f(y) = y            g(y) = y - 6

Step-by-step explanation:

[tex]\dfrac{y^2+6y}{y^2-36}\qquad\qquad\qquad\qquad y\ne6\,,y\ne-6 \\\\ \\\dfrac{y^2+6y}{y^2-36}=\dfrac{y\cdot y+6\cdot y}{y^2-6^2}=\dfrac{y(y+6)}{(y+6)(y-6)}=\dfrac{y}{(y-6)}\\\\\\f(y)=y\\\\g(y)=y-6[/tex]

Please answer...
Tracy has $35 to buy comic books and to pay for a single movie ticket. It costs $3 per comic book. The movie ticket costs $10. Which inequality can be used to determine how many comic books, b, Tracy can buy?
A: 3b + 10 >= 35
B: 10b + 3 >= 35
C: 3b + 10 <= 35
D: 10b + 3 <= 35

Answers

The answer is C 3b+10<=35

The volume of the large cube is 125 cubic inches. The volume of the small cube is 27 inches. What is the difference between the length of one side of the large cube and the length of one side of the small cube?

Answers

Answer:

2cm

Step-by-step explanation:

Step one:

given data

for the large cube

the volume= 125cm^3

we know that volume = l*l*l

volume=l^3

we want to find l, so we have to cube both sides

125=l^3

l=∛125

l=5cm

Step two:

given data

for the large cube

the volume= 27cm^3

we know that volume = l*l*l

volume=l^3

we want to find l, so we have to cube both sides

27=l^3

l=∛27

l=3cm

The difference between the length of one side of the large cube and the length of one side of the small cube=5-3= 2cm

f(x) = 3x + 5
g(x) = 4x^2 – 2
h(x) = x^2 – 3x + 1

Find f(x) – g(x) – h(x).

Answers

Answer:

f(x) – g(x) – h(x) = -5x^2 + 6x + 6

Step-by-step explanation:

Copy f(x) as is:            f(x) = 3x + 5

Negate g(x):              -g(x) = -4x^2 + 2

Negate h(x):               -h(x) = -x^2 + 3x - 1

Now combine like terms:

f(x) – g(x) – h(x) = -5x^2 + 6x + 6

The game room of a youth center needs a carpet te room measures 3ft by 2ft on the blueprint if the scale on the blueprint is one ft by 5 yards what is the actual area of the game room.

Answers

Answer: Yes

Step-by-step explanation:

Area = sxsxsxs

= 3ft x 2ft x 1 ft x 5 ft

= 30 ft

Please help due in a hour!!

Answers

Answer:

f(x)=1/2(x-4)^2+2

Part A: what is the measure of QRS?
Part B; what is the measure of Q?

Answers

Answer:

QRS = 66° and Q = 95°

Step-by-step explanation:

Required Answer

[tex]\huge {\boxed{\sf{∠QSR=66⁰}}}[/tex]

[tex]\huge {\boxed{\sf{∠Q=95}}}[/tex]

Correct Question:

To find of :

∠QSR∠Q

Explanation:

∠QSR+∠QRT=180⁰

Reason:

linear pair

.°. ∠QSR+114⁰=180⁰

∠QSR=180⁰-114⁰

∠QSR=66⁰

Can also be done as follows:

To find value of ∠QSR first we have to find y

y⁰+(5y)⁰=114

Reason:

exterior opposite angle is equal to sum of interior angles

6y=114

y=114/6

y=19

y⁰+(5y)⁰+∠QSR=180⁰

Reason:

sum of angles of triangle =180⁰

6y+∠QSR=180⁰

6×19+∠QSR=180⁰

114+∠QSR=180⁰

∠QSR=180⁰-114⁰

∠QSR=66⁰

From second part we get the value of y

.°.∠Q=5×19

∠Q=95

Use the Distributive Property to expand the expression you obtained in part B.

The expression is 2(100 − x).

Answers

Answer:

The expression 2(100 − x) expands to 200 − 2x.

Step-by-step explanation:

2(100) − 2(x).

Multiply within each term:

200 − 2x.

Answer:

2(100 − x)

Distribute the 2:

2(100) − 2(x).

Multiply within each term:

200 − 2x.

The expression 2(100 − x) expands to 200 − 2x.

Step-by-step explanation:

Mark me brainliest please?

Help!!!!
Given log7⁡3≈0.5646 and log7⁡16≈1.4248, evaluate the expressions.​

Answers

Answer:

a)  0.356

b)  1.1397

Step-by-step explanation:

a) log₇2

log(2) / log(7) 0.356

b) log₇ (¹⁴⁷/₁₆)

log (¹⁴⁷/₁₆)

          log (7)

1.1397

z ÷ 12 = 9 (PLEASE ANSWER QUICK)

Answers

Answer:

z = 108

Step-by-step explanation:

9 x 12 = 108

Answer:

I got youuuuuuu, its 108

The cost of renting Party Palace is $ 120 plus $ 15 per person attending the party. If the total cost of renting Party Palace is $ 480 , how many people attend the party?

Answers

Answer:

24 individuals

Step-by-step explanation:

Since we are given the actual costs as well as the final total then we can calculate the total number of people that attended the party by doing the following. We first subtract the fixed cost of $120 by the total cost of the party, and then we divide the remainder by the cost per person, which would give us the number of people who attended (x) ...

($480 - $120) / $15 = x

$360 / $15 = x

24 = x

Finally, we can see that a total number of 24 individuals attended the party

Give the domain and range of the relation.

Answers

Answer:

The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).

Step-by-step explanation:

it c

The answer would be c because the domain is the X axis and the Range is the Y axis

Use the dropdown to complete the following inequality.

Answers

Answer:

>

Step-by-step explanation:

b is clearly negative

- - = +

so therefore, subtracting the negative will result in a larger answer than adding a small positive to a negative

If the temperature outside was 63°F at 5:00 p.m., but it fell 21 degrees by 10:00 p.m., what is the temperature at 10:00 p.m.?

Answers

Answer:

42°

Step-by-step explanation:

Subtract: 63 - 21 = 42°

Answer:

42°F

Step-by-step explanation:

63-21=42°F

if it fell, it means it went down, so it got colder

In AXYZ, P is the centroid and YC = 15.
Find the length of YZ

PLEASE HELP!

Answers

Answer:

YZ = 30

Step-by-step explanation:

In Δ XYZ

∵ P is the centroid

XC, YB, and ZA are the medians of the triangle

∵ Each median bisects its base

∴ A is the mid-point of XY

∴ B is the mid-point of XZ

∴ C is the mid-point of YZ

∵ C is the mid-point of YZ

YC = ZC

∵ YC = 15

ZC = 15

∵  YZ = YC + ZC

∴ YZ = 15 + 15

YZ = 30

The length of YZ is 30

Are the triangles congruent?
1. If they are congruent tell me the how you determined congruence, AND tell me the rigid transformations
needed to match the triangles over each other.
2. If they are not congruent then answer "not congruent" or "not enough information" and explain why.

Answers

Answer:

yes they are congruent because they are the same size

Step-by-step explanation:

theyre the same size so yes

Which expressions are equivalent?
a) 1/5k-2/3j and -2/3+1/5k
b) 1/5k-2/3j and -1/5+2/3j
c) 1/5k-2/3j and 1/5j-2/3k
d) 1/5k-2/3j and 2/3j-1/5k
PLEASE HELP

Answers

Answer:

The answer should be A

Step-by-step explanation:

Because 1/5k - 2/3j would be -2/3 j with 1/5 k missing which would mean it's the same as if you added it on instead of removing it

Answer:

A

Step-by-step explanation:

Trust me, i promise its correct

Which expression(s) represent negative products? Check all that apply. 7.71(–0.02) 3.4(0.5) 0.23(–1.1) –2.5(–9.2) –5.09(8.1)

Answers

Answer: 1 3 5

Step-by-step explanation:

Answer:

7.71(–0.02), 0.23(–1.1), –5.09(8.1)

what do you need to add to 2 4/7 to make 4

Answers

answer=0.58

Step-by-step explanation:

24/7= 3.42 ,so you subtract this from 4 to get 0.58

Number between 3.45 and 3.46

Answers

Answer:

3.451, 3.452, 3.453, 3.454, 3.455, 3.456, 3.457, 3.458, 3.459, 3.460

Which pairs of expressions are equivalent? Select all that apply.

A
-4 - 7 and -4 + (-7)

B
16 - 7 and -16 + 7

C
-7 - (-12) and -7 + 12

D
-2 - 3 and 2 + 3

E
10 - 2 and 10 - (-2)

Answers

Answer:

A & C

-4-7=-11 and -4+(-)=-11

-7-(-12) and -7+12

Step-by-step explanation:

-4-7= -11, -4+ (-7)= -11

-7-(-12) turns into -7+12=5

the second equation is the same as the first (after using PEDMAS), resulting in the answering being -7+12=5

The pairs of expressions that are equivalent will be -4 - 7 & -4 + (-7) and -7 - (-12) & -7 + 12. Then the correct options are A and C.

What is an equivalent?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Check all the options, then we have

A. -4 - 7 and -4 + (-7), then we have

-4 - 7 = - 4 + (-7)

B. 16 - 7 and -16 + 7, then we have

16 - 7 ≠ - 16 + 7

C. -7 - (-12) and -7 + 12, then we have

- 7 - (-12) = - 7 + 12

D. -2 - 3 and 2 + 3, then we have

- 2 - 3 ≠ 2 + 3

E. 10 - 2 and 10 - (-2), then we have

10 - 2 ≠ 10 - (-2)

The pairs of expressions that are equivalent will be -4 - 7 & -4 + (-7) and -7 - (-12) & -7 + 12. Then the correct options are A and C.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ3

Parents will kill me if I don't get this done in an hour (BRAINLIEST IF ANSWER IS CORRECT AND WORK IS SHOWN)

Answers

Answer: -3 1/2 and -6

PLEASE HELP ME ASAP??!Which of the following are valid names for the triangle below? Check all that
apply.

Answers

Answer:

A, E

Step-by-step explanation:

Answer:

a,e

Step-by-step explanation:

What is 2M?
M=[3 5]
[-4 0]

Answers

Answer:

2M will be:

[tex]2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]

Therefore, the 2nd option is true.

Step-by-step explanation:

Given the matrix

[tex]M=\begin{pmatrix}3&5\\ -4&0\end{pmatrix}[/tex]

Multiplying by 2 will basically be a scalar multiplication.

Therefore, multiply each of the matrix elements by a scalar.

[tex]2M=2\begin{pmatrix}3&5\\ \:-4&0\end{pmatrix}[/tex]

       [tex]=\begin{pmatrix}2\cdot \:3&2\cdot \:5\\ 2\left(-4\right)&2\cdot \:0\end{pmatrix}[/tex]

        [tex]=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]

Hence, 2M will be:

[tex]2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]

Therefore, the 2nd option is true.

(19 -16), (-7 -15) find the slope

Answers

(19,-16),(-7,-15)
-15-16=-31
-7-19=-26
Hope this helps

,
[tex]33333 \div 2[/tex]

Answers

Um 16,666.5 hope this help
The answer is 16,666.5
Other Questions
who is nf? who is he What was one of Kublai Khan's achievements solve 7x -2 + 10x + x + 6x Find three consecutive integers where the sum of the first and the twice second is 5. How are the landforms of Northern and Southern Europe alike? How are they different? A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, g, is proportional to the number of seconds, t, that the water is running. Select all the equations that represent the relationship between g and t what is "in medias res" If z = 13 - 71, what is the value of z?BEO 6O 2/30218O 20 how did christian missionary work sometimes make it more difficult for european powers to control there conquered territories 5. Veronika works at Future Shop and earns $10.50/h plus 6% commission on sales. Last week Veronika worked 40hours. What was Veronika's weekly gross salary if her total sales were $2050? Use inverse operations to solve: x + 3.2 = 7 Dana loves rocks! She has 6 pieces of granite, 3 pieces of marble, 14 pieces of sandstone, and 1 piece of slate.What is the ratio of pieces of sandstone to pieces of marble in Dana's collection?Choose 1 answer:(Choice A)A14:6(Choice B)B3:24(Choice C)C14:3(Choice D)D24:3 Consider f(x)=2|x| What is the rate of change over the interval 0x4?How is the rate of change over this interval related to the form of the function? What is the solution to the equation 23(y6)=(y+2)+1 2 3 ( y - 6 ) = - ( y + 2 ) + 1 ? help will brainlist... The most commonly accepted theory of muscle growth states that ______________ ________ within a muscle activate a(n) ________________ response process that causes dormant cells to build and regenerate muscle tissue.A. contractions; inhibitoryB. tension; neurologicalC. microscopic tears; inflammatoryD. stress; cytokines Why was Archduke Franz Ferdinand of Austria-Hungary a key player in World War I?He ordered an attack on Serbia.He was assassinated by a Serbian nationalist.He created an alliance with Great Britain.He authorized the use of poison gas on Russia. 11/9/2020Describe the types of possibleweathering that has occurred tothis boulderUse vocab words to describe whatis happening 1 WILL GIVE BRAINLIST!!For which topic would a live demonstration work BEST in a speech?a. how electricity is producedb. how to repair a watchc. how two chemicals violently reactd. how to change the oil in a car What does m represent in the equation y= mx + b?none of thesethe slope of the graph ofy = mx + bthe y-intercept of thegraph of y = mx + bthe run in the ratioriserun