Five times the smallest of three consecutive odd integers is seven more than twice
the largest. Find all three consecutive odd integers.

Answers

Answer 1

Answer:

5, 7, 9

Step-by-step explanation:

Using the information given we get:

[tex]5x-7=2z[/tex]

[tex]x+2=y\\y+2=z\\x+4=z[/tex]

[tex]5x-7=2(x+4)\\5x-7=2x+8\\[/tex]

Add 7 to both sides

[tex]5x=2x+15[/tex]

Subtract 2x from both sides

[tex]3x=15[/tex]

Divide both sides by 3

[tex]x=5[/tex]

Using these equations:

[tex]x+2=y\\y+2=z\\x+4=z[/tex]

and

[tex]x=5[/tex]

We get:

[tex]x=5\\y=7\\z=9[/tex]


Related Questions

how do i calculate the first quartile and the third quartile???
!!!please help!!!

Answers

Answer: The Median: 78, The First Quartile: 63, and The Third Quartile: 99

Step-by-step explanation: Ok, so let's put the data set from least to greatest....

(63, 63, 76,) (77, 79,) (84, 99, 99)

First Quartile              Third Quartile

First, let's find the median, since you made a little mistake...

77 + 79 = 156

156 ÷ 2 = 78

The median is 78!

Now, let's determine the first quartile and the third quartile.

For the the first quartile/third quartile it'll be the middle number, if it's even we'll do the same extra step just like we'll do for the median. In this case it's not even therefore...

First Quartile: 63

Third Quartile: 99

I hope this helps!

a line passes through the points (4, -1) and (2, 3), what is the slope of the line?

A, 2
B, 1/2
C. -1/2
D. -2

Answers

The right answer is -2.

please see the attached picture for full solution..

Hope this helps..

Good luck on your assignment

Answer: The social structure of the workplace changed as a result of the Industrial Revolution as well, because laws were passed that allow people to receive days off from work, capped hours and reasonable condition

Step-by-step explanation:

2 Points
For what values of x is the rational expression below undefined?
Check all that apply.
x-7
2x2 - 32
DA. 7
B. 4
D C.-7
OD. -2
0 E. -4
F. 2

Answers

Answer:

B and E

Step-by-step explanation:

Given the rational expression

[tex]\frac{x-7}{2x^2-32}[/tex] ← factorise the denominator

2x² - 32 ← take out a common factor of 2 from each term

= 2(x² - 16) ← (x² - 16) is a difference of squares

= 2(x - 4)(x + 4)

The expression can now be written as

[tex]\frac{x-7}{2(x-4)(x+4)}[/tex]

The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.

2(x - 4)(x + 4) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 4 = 0 ⇒ x = - 4

These are the values of x that make the expression undefined.

x = 4 → B

x = - 4 → E

B and e idk what I’m doing I thinking’s about deleting this dumb app

Solve |x|=5

A{-5}
B{5}
C{-5,5}

Answers

Answer:

[tex]x=-5\quad \mathrm{or}\quad \:x=5[/tex]

C is your answer

Step-by-step explanation:

[tex]\left|x\right|=5\\\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\x=-5\quad \mathrm{or}\quad \:x=5[/tex]

C is your answer
use absolute value

Which multiplication equation can be used to solve
1/6 divided by 5

Answers

Answer: 1/6x1/5

You have to remember the method keep, change, flip. keep 1/6 change the division sign to the multiplication sign and flip the 5 to 1/5.

Hope this helps <3

-Carrie

Be sure to mark brainliest

:)

A truck traveling at 36 m/s heads out of town going west. How long
does it take to go 5.2 km?

Answers

Time is equal to speed divided by time

does anyone know this one?

Answers

Answer:

20x

Step-by-step explanation:

Step-by-step explanation:

The ? is 4 * 5x which is 20x.

The last time Larissa checked her credit score, it was 760, and her only credit event since then has been applying for a store credit card. Which of these is most likely to be her credit score now? A. 770 B. 780 C. 750 D. 760

Answers

Answer:

750

Step-by-step explanation:

Applying for credit from any place pulls your credit report.  When your credit report is pulled, your score decreases some.  

However, this will not have a large effect on your score, so 750 would most likely be the new score.

Getting a store credit card affects the credit score a little bit, so the answer would likely be D.

please mark brainliest :)

Can someone please help me on these two questions?

Answers

Answer:

Arc = angle/360° x 2πr

13) = 72/360 x 2π x 25

= 1/5 x 2π x 25 = 10π

14) 270/360 x 2π x 2

= 3/4 x 4π = 3π

Please help with this...will give you five star and brainlist.....

Answers

Answer:

P = 72 mm

Step-by-step explanation:

Since all the angles are equal, this triangle is an equilateral triangle.

That means all the sides are equal.

All sides have length 24

P = 24+24+24

P = 72 mm

Given that y varies directly with x in the table below, what is the value of y if the value of x is 7?
х
2
4
6
10
60
y
12.
24
36
V
37
42
0 0 0 0
48
54

Answers

Answer:

y = 42

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use an ordered pair from the table.

Using x = 2 when y = 12, then

12 = 2k ( divide both sides by 2 )

6 = k

y = 6x ← equation of variation

When x = 7, then

y = 6 × 7 = 42

Answer:

42

Step-by-step explanation:

just took the quiz and got it right

I NEED HELP QUICK! PLEASE

Answers

Answer:

(a, 0), (0, b), (-a, 0), (0, - b)

Step-by-step explanation:

Since, all vertices of the rhombus lie in the x and y axes.

x - axis is given by a and y - axis is given by b.

Therefore, coordinates of vertices lying on x - axes will be (a, 0) & (-a, 0) and coordinates of vertices lying on y - axes will be (0, b) & (0, - b).

(ASAP) Work out the equation of the line passing through (2,-3) and parallel to the line y=3x+4

Answers

Answer:

y = 3x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 4 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation

To find c substitute (2, - 3) into the partial equation

- 3 = 6 + c ⇒ c = - 3 - 6 = - 9

y = 3x - 9 ← equation of parallel line

Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence statement. answers: A) ΔABC ≅ ΔEDC B) ΔCBA ≅ ΔCED C) The triangles aren't congruent using AAS. D) ΔCAB ≅ ΔEDC

Answers

Answer:

A) ΔABC ≅ ΔEDC

Step-by-step explanation:

To prove triangles congruent with the AAS method, you need two angles and the non-included side of one triangle to be congruent to the corresponding parts of another triangle.

Let's see what we have in these two triangles.

Side AB is congruent to side ED. This is one pair of sides.

Angle A is congruent to angle E. This is one pair of sides.

Now we need a second pair of angles, that will make the two sides not-included in the angles.

By the congruence of vertical angles, we see that angles ACB and ECD are congruent. This is another pair of congruent angles.

We have two angles and a non-included side of one triangle congruent to two angles and a non-included side of another triangle. The triangles are congruent by AAS.

Answer: A) ΔABC ≅ ΔEDC

Solve the following equation. Then place the correct number in the box provided. 7x/15-1=22
x=?

Answers

Answer:

44

Step-by-step explanation:

First you have to make sure that you move everything from one side to the other and set the equation equal to zero. Then you have to simplify the equation as much as you can so you get:

x/14

7 * (x/14)

eventually you get

(x-22)/2 =0

from there you can solve for 44

A polynomial function has -5+√3t as a root. Which of the following must also be a root of the function? a) -5-√3t b) -5+√3t c) 5-√3t d) 5+√3t

Answers

Answer:

a

Step-by-step explanation:

Radical roots occur as conjugate pairs

Given - 5 + [tex]\sqrt{3}[/tex] t is a root , then

- 5 - [tex]\sqrt{3}[/tex] t is also a root → a

What is the following sum in simplest form?
√8 + 3 √2+ √ 32

A. 3 √8+ 3 √2
B. 5 √42
C. 9 √2
D. 5 √2 + √32

Answers

Answer:

C.  9√2.

Step-by-step explanation:

√8 + 3 √2+ √ 32

= √4 *√2 + 3√2 +  √16*√2

= 2√2 + 3√2 + 4√2

= 9√2.

HELP! WILL GIVE BRAINLIEST!

Answers

Answer: The answer is A

Step-by-step explanation: There are different ways to solve this type of problem. One way I would do it is to use a piece of wax paper to trace the shape then rotate the paper to get the answer.

Help pure people only

Answers

Answer:

Mini golf costs  $10 per round and batting cages cost $2.5 each turn.

Step-by-step explanation:

mini golf ([tex]m[/tex])

batting caves ([tex]b[/tex])

Sylvester:

[tex]5m+4b=60[/tex]

Lin

[tex]3m+6b=45[/tex]

System of equations:

[tex]$\left \{ {{5m+4b=60} \atop {3m+6b=45}} \right. $[/tex]

[tex]$\left \{ {{5m(-3)+4b(-3)=60(-3)} \atop {3m(5)+6b(5)=45(5)}} \right. $[/tex]

[tex]$\left \{ {{-15m-12b=-180} \atop {15m+30b=225}} \right. $[/tex]

[tex]18b=45[/tex]

[tex]b=2.5[/tex]

Now let's find [tex]m[/tex]

[tex]3m+6(2.5)=45\\3m+15=45\\3m=30\\m=10[/tex]

Kenya exchanges $200 for euros (€). Suppose the conversion rate is €1 = $1.321. How many euros should Kenya receive?
€264.20
€151.40
€132.10
€66.05

Answers

Answer:

The second option, or option b

Step-by-step explanation:

200/1.321 = 151.4

Answer: € 151.40

Step-by-step explanation:

€1 = $1.321

200/1.321 = €151.40

PLEASE HELP ASAP!!! How many 1/2-cup servings are there in 3/4 of a cup of cereal?

Answers

Answer:

there is only 1 but you have some left over so maybe 2

Answer:

Hey!

Your answer is about 3/2 servings!!

Step-by-step explanation:

HOPE THIS HELPS!!

PLZ HELP :(
Use the distributive property to write the expression without parentheses. Then simplify the​ result, if possible.
1/3(6x+17)+ 1/3

Answers

Answer:

2x+6

Step-by-step explanation:

how do you find the radius of a cylinder given the volume and height ? If the volume of a cylinder 100 cubic feet and height 10ft, what is the radius of the cylinder to the nearest tenth?

Answers

Answer:

=1.8

Step-by-step explanation:

R= Square root of volume/pie*height

R= 100/3.142*10

=100/31.42

=3.18


the square root of 3.18 is 1.78


1.78 rounded to the nearest tenth is 1.8

Which of the following has a prime factorization of 2 x 2 x 3 x 5?

Answers

Answer:

60

Step-by-step explanation:

Just multiply them all together.

2 * 2 * 3 * 5 = 60

Answer 60

Step-by-step explanation: 60 devided by 2 = 30

30 devided by 2 = 15

15 devided by 3 = 5

5 devided by 5 = 1

hence verified

Figure 3:

1. If you created a tree diagram to represent all the possible outcomes of a spinning spinner A once, then spinning spinner B, how many would there be in total

1. 9
2. 12
3. 18

Answers

c) 18 because you could get 6 numbers with red, 6 numbers with brown and 6 numbers with yellow.

Answer:

9

Step-by-step explanation:

Consider the following simplified algebraic expression. 10 x squared y + 6 x squared minus 7 y squared minus 6 Which could be the original expression? 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 + 2 x squared y minus x squared minus 2 y squared + 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 + 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x + 2 + 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4 8 x squared y + 7 x squared minus 5 y squared + 3 x minus 2 minus 2 x squared y minus x squared minus 2 y squared minus 3 x minus 4

Answers

9514 1404 393

Answer:

  (b)  8x^2y +7x^2 -5y^2 +3x -2 +2x^2y -x^2 -2y^2 -3x -4

Step-by-step explanation:

Detailed comparison of the answer choices seems to be required. The x^2y terms need to sum to 10x^2y, the 3x terms need to cancel, the constant terms need to sum to -6.

The appropriate choice on this list appears to be the second choice.

_____

Comment on the problem

In the form presented, it takes considerable time to sort the answer choices from one another and to determine what their differences are. It would be much more conducive to getting an answer if the problem were presented using the usual math symbols in a form that separates the question and the different answer possibilities.

Answer:

B

Step-by-step explanation:

i am smart

ΔABC is similar to ΔDEF. The ratio of the length of AB to the length of DE is 2:1. Which ratio is also equal to 2:1?

Answers

Answer:

4)

Step-by-step explanation:

When triangles are similar, their corresponding angles are congruent. So, it is not 1) and 2).

Areas ratio is squared to ratio of their sides, so it is not 3).

Perimeter is sum of the sides. All  corresponding sides in similar triangles have the same ratio. So, answer is 4).

The ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1

What are similar triangles?

"Two triangles are similar when their corresponding sides are in proportion to each other and corresponding angles are equal."

What is ratio?

"It is the comparison of two quantities of the same kind."

For given question,

ΔABC is similar to ΔDEF.

⇒ [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]

And ∠A = ∠D, ∠B = ∠E, ∠C = ∠F

We know, if two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

⇒ [tex]\frac{area~of~\Delta {ABC}}{area~of~\Delta DE F} =(\frac{AB}{DE})^2 = (\frac{BC}{EF})^2 = (\frac{AC}{DF})^2[/tex]

We know, the perimeters of the similar triangles are in the same ratio as the sides.

[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]

The ratio of the length of AB to the length of DE is 2:1

[tex]\Rightarrow \frac{AB}{DE} = \frac{2}{1}[/tex]

[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{2}{1}[/tex]

Therefore, the ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1

Learn more about similar triangles here:

https://brainly.com/question/25882965

#SPJ2

Workout the value of the largest angle

Answers

Step-by-step explanation:

These angles all add up to 360° because they form a circle, so b + b + 2b + 5b = 360°, and b = 40°. The largest angle is 5b which is 5 * 40 = 200°.

Answer:

200

Step-by-step explanation:

The sum of the angles is 360 degrees

5b+ b+b+2b = 360

Combine like terms

9b = 360

Divide each side by 9

9b/9 = 360 /9

b = 40

The largest angle is 5b

5*40

200

Fully explain the solution set to the equation below.
1x = -1

Answers

Answer:

The answer for x should equal: -1.

Step-by-step explanation:

To find x, we would divide, our final value, by 1 to get x. In other words, you would divide: -1 ÷ 1 to get -1 as our unknown number.

Please please please help me I’m about to fail

Answers

Answer:

3 plus 3 and 9 plsu 9 is 23 or 25 hope it help lil boy or girl

Step-by-step explanation:

the answer is in the top

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