You have three consecutive odd integers. Four times the smallest decreased by 5 is the same as the largest increased by 12. What is the smallest of the integers?

Answers

Answer 1

Answer:

The smallest of the integers is 7

Step-by-step explanation:

Let the integers be x, y and z

From the question, the integers are consecutive odd integers.

Hence,

If the smallest of the integers is x and the largest is z, then we can write that,

x + 2 = y and

y + 2 = z

Then, x + 2 + 2 = z

∴ x + 4 = z ....... (1)

From the question, four times the smallest decreased by 5 is the same as the largest increased by 12, that is

4x -5 = z + 12 ....... (2)

Put the value of z = x + 4 in equation (1) into equation (2),

We then get

4x - 5 = x + 4 + 12

4x - x = 4 + 12 + 5

3x = 21

x = 7

Hence, the smallest of the integers is 7

The other integers are 9 and 11 ( y= 9 and z = 11)


Related Questions

Calculate the mean, median, and mode for the set 7, 9, 8, 8, 10, 9, 8, 7, 8, 6, 9, 5, 6, 8, 9, 7, 7, 8, 10, 8 please answer asap

Answers

Step-by-step explanation:

Mean (Average):7.89474. Median (Middle):8. Mode (Most Common):8

Answer:

Mean= 7+9+8+8+10+9+8+7+8+6+9+5+6+8+9+7+7+8+10+8/20= 7.85

Mode= 8(the most repeated number)

Median= 7+8/2=7.5 (the two numbers in the middle divided 2)

Twenty people are members of a local bowling club. Eight of them are men. What percentage of the
bowling team are women?

Answers

Answer:

60% of them are women 40% are men

By treating savings as an ___ it guarantees that you will save the money instead of spending it

Answers

money market account!!

PLEASE HELP ASAP!!!!

Answers

Answer:

11

Step-by-step explanation:

Since M is on LN,

LM + MN = LN.

[tex](2x+7)+3x=4x+9[/tex]

Remove brackets:

[tex]2x+7+3x=4x+9[/tex]

Add the x terms:

[tex]5x+7=4x+9[/tex]

Subtract 7 from both sides:

[tex]5x+7-7=4x+9-7[/tex]

[tex]5x=4x+2[/tex]

Subtract 4x from both sides:

[tex]5x-4x=4x+2-4x[/tex]

[tex]x=2[/tex]

[tex]LM=2x+7=2(2)+7=4+7=11[/tex]

Joe works for McDonalds. He was required to buy a uniform that costs $35 and he will earn $10 per hour. The
following function represents his overall income the first month. f(h) = 10h - 35. The h represents the hours he
works. What is the independent variable?

Answers

Answer:

The independent variable is the number of hours Joe works.

Solve each literal equation for the given variable y=x+12;x

Answers

Answer:

Step-by-step explanation:

x + 12 = y

x = y - 12

You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $2.79 a pound, which is cheaper than your usual neighborhood store, which sells it for $3.19 a pound. Is it worth the extra drive?

Answers

No, you have to think about gas, if it’s a across from town your gas will run out and it will cost about 20 dollars plus that 2.79.

Solve for x: -6
A. 5 B. -5 C. -5>x>10
S.5>x>-10

Answers

The answer is S
Hope u doing good
Answer is S -6>-10 and 5>-6

Nina’s total trip to and from work is 14 miles. If she works 243 days this year, how many miles will she drive to and from work?

Answers

Answer:

3,402

Step-by-step explanation:

Step 1:

243 × 14

Answer:

3,402

Hope This Helps :)

Answer:

3402

Step-by-step explanation:

A square cloth has an area of 285 square
centimeters. To the nearest centimeter, what is the
length of one side of the cloth? (Your final answer
should just be a whole number)

Answers

71-35 is the answer

M is between L and N. If LN = 91 and LM = 23, find MN.

Answers

Answer:

MN = 68

Step-by-step explanation:

LN = 91

LM = 23

Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:

LM + MN = LN

23 + MN = 91 (Substitution)

Subtract 23 from both sides

23 + MN - 23 = 91 - 23

MN = 68

find x
x- 3 = 2 - 3

Answers

Answer:

x=2

Step-by-step explanation:

x-3=2-3

+3    +3

x=2

the 3 is being canceled out by the positive, because 3-3=0 therefore it's just canceled out, leaving you with x=2.

PLEASE HELP MEEEE

Four-fifths of a number equals 16. Find the number.


The number is 20

The number is 31

The number is 17

Answers

Answer:

The number is 20

Step-by-step explanation:

Four-fifths = 4/5

Let the number = x

4/5 of x = 16

4/5 * x = 16

4/5x = 16

Divide both sides by 4/5

x = 16 ÷ 4/5

= 16 × 5/4

= 80 /4

= 20

Therefore, the number is 20

Ann and Zoe love ice cream with cherries on top. Ann put 4 cherries on hers. Ann had 2 fewer cherries
than Zoe.
How many cherries did Zoe have?
cherries

Answers

Answer:

Zoe has 6 cherries

Answer:

6

Step-by-step explanation:

if Ann had 4 cherries on her Ice Cream and it says that Ann had 2 fewer that Zoe. So Zoe should have 6 cherries.

[tex]4+2=6[/tex]

Alexa ran 22.5 miles less than Anthony last week. She ran a total
of 16.2 miles. How many miles did Anthony run?
Help me out

Answers

Anthony ran 38.7 miles because if she ran 22.5 miles LESS than Anthony, then you would ADD 22.5 and 16.2 getting a sum of 38.7.
Note: Sorry I’m not that good at explaining :(

What is an equivalent fraction for 0.625

Answers

Answer:

5/8

Step-by-step explanation:

The answer is 5/8 because 1/8 is equivalent to 0.125, so just multiply 0.125 with 5. Then, you will get 0.625 as you answer.

Hope this helps!

I NEED HELP ASAP
Evaluate the expression for r = –3.
15 + 6r =

Answers

Answer: -3

Step-by-step explanation:

Since we are given the value of r, we can plug that value into the expression and solve.

15+6(-3)              [multiply]

15-18                   [subtract]

-3

Now, we know that the expresison is equal to -3.

Can someone please help

Answers

Answer:

-6 degrees F

Step-by-step explanation:

We start with -8F as the temperature. It fell 10 degrees to 2F, then fell 8 degrees to -6F.

Answer:

The answer is 10 because -8 plus 10 is 2 - (-8) is still 10 however that's in a calculator the correct answer is -6

A mineral water bottle is 3/4 full and Denise drank 80% of the water. Find the percentage of water left in the bottle.

Answers

Answer:

nchhfhhhgfddnbnbbhtffghtnj5ydwkdyherv

Max goes to the gym every fourth day. Ellen’s exercise routine is to go every third day. Today is monday and both Max and Ellen are at the gym. What will the day of the week be the next time they are BOTH at the gym?
A. Sunday
B. Wednesday
C. Friday
D. Saturday ​

Answers

Saturday 3*4=12 day from Monday it’s D Saturday

The day of the week will be Saturday the next time they are both at the gym.

What is Least Common Multiple(LCM)?

The least common multiple is defined as the least positive integer that is dividable by both given numbers.

A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers. For example, the LCM of 4 and 5 is 20; 20 is the smallest number that is both a multiple of 4 and a multiple of 5

To solve this problem, we need to find the least common multiple (LCM) of the two sequences of days, 3 and 4.

The LCM of 3 and 4 is 12, which means that after every 12 days, Max and Ellen will both be at the gym on the same day.

Starting from Monday, the next time Max and Ellen are at the gym together will be 12 days later, which is a Saturday.

Hence, the answer is an option (D) Saturday.

To learn more about the Least Common Multiple(LCM) here :

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the product of two numbers is 12

Answers

Answer:

1x12

2x6

3x4

4x3

6x3

12x1

Step-by-step explanation:

it could be 1 and 12   2 and 6   3 and 4  

Step-by-step explanation:

THe product is the answer to a multiplication equation so the numbers above are all products of 12! :D

what is another way to represent this solution set?

Answers

Answer:

What solution set? I think you forgot to add a picture..

What solution do you need help with? :)

Which of these sets of ordered pairs below does not represent a function?
{(1, 1) (2, 2) (3, 3) (4,4) (5,5)}
{(2, 1) (4, 2) (6, 3) (8, 1) (10, 2)}
{(0, 0) (2, 3) (3,6) (2.9) (6, 12}}
{(1,5) (2, 4) (3, 3) (4,2) (5, 1)]

Answers

Answer:

0,0

Step-by-step explanation:

The function set is empty

The ordered pair in options B and D does not  represents the  function.

The sets of ordered pairs {(1, 1) (2, 2) (3, 3) (4,4) (5,5)}, {(2, 1) (4, 2) (6, 3) (8, 1) (10, 2)}, {(0, 0) (2, 3) (3,6) (2.9) (6, 12)} and {(1,5) (2, 4) (3, 3) (4,2) (5, 1)}.

What is function?

A function is defined as a relation between a set of inputs having one output each.

For the given ordered pairs graphs are plotted below.

A) The ordered pair {(1, 1) (2, 2) (3, 3) (4,4) (5,5)} represents the linear function.

B) The ordered pair {(2, 1) (4, 2) (6, 3) (8, 1) (10, 2)} does not represents the  function.

C) The ordered pair {(0, 0) (2, 3) (3, 6) (2, 9) (6, 12)} does not represents the function.

D) The ordered pair {(1,5) (2, 4) (3, 3) (4,2) (5, 1)} represents the linear function.

Therefore, the ordered pair in options B and D does not  represents the  function.

To learn more about the function visit:

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Billy has a bag of 30 marbles must choose only six marbles to bring for show and tell what is the size of the sample space in this experiment

Answers

Am,smackssjs,wow,smss,a,Sid

Answer:

593775

Step-by-step explanation:

Question 4 -
Next >
What is the mode given the data set: 97, 82, 87, 97, 100, 75, 81?
A
81
B.
82
C.
97
D.
100
what’s the mode

Answers

It is c 97 cause it has the most of the same number

6[12-(5+2)]+6(4•|-6|)​

Answers

The answer is 174the answer for your question is: 174

PLEASE HELP! An angle's measure is equal to 24 less than its complement. Find the measure of the angle.

Answers

The Larger complement angle is 57 degrees and Small angle is 33 degrees.

Given about the complement angles.

Complement angles means, the two angles will add up to 90 degrees.

Then angles is x+(x-24)=90

⇒2x=90+24

⇒2x=114

⇒x=57

So, the larger angle is 57 degrees.

small angle is 90-57=33 degrees.

Learn more about complementary angles in https://brainly.ph/question/3668.

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Jordan will hike a 10 mile trail at a rate of 2 mi/h. Write a linear equation to represent the distance of the trail that Jordan still has to hike after x hours. What does the y-intercept of the equation represent?

Answers

Answer:

  y = 10 -2x; 10 is the length of the trail

Step-by-step explanation:

Jordan's remaining distance starts at 10 miles, and decreases 2 miles each hour:

  y = -2x +10

The y-intercept is the length of the trail.

Which are monomials?
CHECK ALL THAT APPLY.
-7
a
x + y
1/x
24r^2st^3
ab/5
bx

Answers

Answer:

Step-by-step explanation:

Monomials have only one term each.

Thus:

-7 is a monomial

a   is a monomial

x + y   is NOT a monomial ; it has two terms and is thus a binomial

1/x    is a monomial

24r^2st^3    is a monomial

ab/5    is a monomial

bx

[tex]-7, a, \frac{1}{x} , 24r^{2} st^{3} , \frac{ab}{5}, bx[/tex] all these terms represents monomials.

What are monomials?

"Monomials are defined as the polynomial which represents a single term. This single may consist of two or more numbers and variables with highest exponents."

According to the question,

From the given terms,

-7 is a single term .

Therefore, monomial.

a is a single term .

Therefore, monomial.

x + y is not a single term .

Therefore, it is not a monomial.

[tex]\frac{1}{x}[/tex]  is a single term .

Therefore, monomial.

[tex]24r^{2} st^{3}[/tex] is a single term .

Therefore, monomial.

[tex]\frac{ab}{5}[/tex] is a single term .

Therefore, monomial.

b x  is a single term .

Therefore, monomial.

Hence, [tex]-7, a, \frac{1}{x} , 24r^{2} st^{3} , \frac{ab}{5}, bx[/tex] all these terms represents monomials.

Learn more about monomial here

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5^7/5^5 hurrrrrrrrryyyyyyyyyyyyy

Answers

Answer:

25

Step-by-step explanation:

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