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

What is the slope of a line perpendicular to the line whose equation is
6x – 15y = 270. Fully reduce your answer.

Answers

Your slope is 2/5 and your y intercept is (0,-18)
Slope is 2/5 and y intercept should be (0,-18)

w(x) = 2x + 5; Find w(x + 2)

Answers

Solution:

w(x) = 2(x + 2) + 5

w(x) = 2x + 4 + 5

w(x) = 2x + 9

Best of Luck!

You had $21 to spend on two notebooks. After buying them you had $17. How much did each notebook cost?

Answers

2$ each notebook

First you find how much you spent. You spent 4$ then divide it in half. That is how you get the answer.

Given: h(x)=-4x and g(x) = 3x +1
Find:
(nog)

Answers

Answer:

Step-by-step explanation:

h(g(x))

g(x)= 3x + 1

h(3x + 1) = 4(3x + 1) = 12x + 4

. 10(7x - 2) + 3(-7X - 8)

Answers

Answer:

49x-44 is it.

Step-by-step explanation:

Evaluate for x=-7 and y=-3 11x - 4y

Answers

Answer:

Is -65

Step-by-step explanation:

Used a calculator

Step-by-step explanation:

x=-7 so 11x becomes 11 x-7

11 x -7=-77

y=-3 so -4y becomes -4 x -3

-4 x -3=-12

-77-12=-89

I hope it helps!


True or False? (-x)^6 = -x^5 Explain your
answer (use either words or an example).

Answers

Answer:

False

Step-by-step explanation:

[tex](-x)^{6}[/tex] = [tex]x^{6}[/tex]

- [tex]x^{5}[/tex] = - [tex]x^{5}[/tex]

Thus

[tex](-x)^{6}[/tex] ≠ - [tex]x^{5}[/tex]

Which number line represents all of the values of x for the equation x? = 647
-032-16
7
32
-10
-32-
32
12-16
32
40
-4032-N-16
-
16
3240

Answers

Answer:

the 2nd answer.

Step-by-step explanation:

8*8 = 64.

-8 * -8 = 64

Use long division to write the fraction -6/8 as a decimal.​

Answers

[tex] \frac{ - 6}{8} = - \frac{3}{4} = - 0.75[/tex]

The answer should be 0.75

find the value of x and y respectively A. 20, 120 B. 40, 120 C. 30, 140 D. 30,160

Answers

Answer:

Option A:

x=20 and y=120

Answer:

A. 20, 120

Step-by-step explanation:

[tex](4x - 20) \degree = 3x \degree..(vertical \: \angle 's) \\ 4x - 20 = 3x \\ 4x - 3x = 20 \\ \huge \orange { \boxed{x = 20}} \\ \\ 3x \degree + y \degree = 180\degree .. (straight \: line\:\angle 's) \\ 3 \times 20 \degree +y \degree = 180 \degree \\ 60 \degree + y \degree = 180 \degree \\y \degree = 180 \degree - 60 \degree \\y \degree = 120 \degree \\ \huge \red { \boxed{y = 120}}[/tex]

True or false? <4≈<5

Answers

Answer:

false FALSE FALSE FALSE

which represents the slope of a line that is parallel to a line with a slope of -2

Answers

Answer:

One with a slope of -2 and different y-intercept

e.g. y = -2x + 3

NEED HELP ASAP NO ROCKY !!!!!
Write the coordinates of the vertices after a translation 4 units left and 7 units down.
10+
1
А
B
Searts
-10
10
С
10
-10
A(-6,0) - AOC
BCO,O) - BO
C(-5, -1) - CC
Practice with our 100

Answers

Step-by-step explanation:

scan it u could have the answer in a flash

What is the value of the expression? 2/3+1/6

Answers

2/3 would be converted to 4/6 by multiplying the numerator and denominator by 2.

then you can add 4/6 + 1/6 to get 5/6

solve this below. 4(3y+7)=40

Answers

First use distributive property:
12y + 28 = 40
Subtract 28 on both sides:
12y = 12
y = 1

Hope this helped
Divide both sides by the numeric number then slove y=1

Jackson was selling cups of lemonade. On Saturday, he sold a total of 14 cups. On Sunday he sold cups at a steady rate of 3 cups per hour. Set up and solve an equation to find how many hours, h, it took Jackson to sell 47 cups (including those from Saturday).

Answers

Answer:

(47-14) h ÷ 3 =11

Step-by-step explanation:

47-14=33

33 divided by 3 is 11

Jackson takes 11 hours to sell 47 cups.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of hours that Jackson sold his cups on Sunday.

Now,

Saturday cups + Sunday cups = Total cups.

14 + 3x = 47

3x = 33

x = 11

Hence "Jackson takes 11 hours to sell 47 cups".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

2.3 to 1 significant figure

Answers

☽------------❀-------------☾

Hi there!

~

2.3 to 1 significant figure.

= 2

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

2

Step-by-step explanation:

Locate the ones place:

2.3

Check the next number:

2.3

Since the number is less than or equal to 4, we round down.

2.3 ≈ 2

Hope this helps.

A field in the shape of a square has an area of 8,100 square feet. How can you determine the length of one side of the field?

Answers

To determine the length of one side use the formula for the area of square. As a square is equal on all four sides, finding one length results in any of the four. Solve using the formula and you receive your answer of 90.

A = s²

8100 ft² = s² (set up formula)

√8100 ft² = s² ( get s alone by squaring both sides)

90 ft = s (answer)

We can conclude that the side of the given square with an area of 8100ft² is 90ft.

What is a square?A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can alternatively be explained as a rectangle with two neighboring sides that are of equal length. A square is a two-dimensional plane object in geometry that has four equal sides and four equal but 90-degree angles.

So, the area of the square is 8100ft².

Formula: s²So, we know that: 8100 = s²

Now, calculate for s as follows:

s² = 8100s = √8100s = 90ft

Therefore, we can conclude that the side of the given square with an area of 8100ft² is 90ft.

Know more about squares here:

https://brainly.com/question/28934226

#SPJ2

What is 47.2% as a fraction? (can someone show the work)

Answers

Answer: 59/125

Step-by-step explanation:

What is 47.2% as a fraction or mixed number in simplest form? 47.2% is 47.2/100 which is 472/1000 which is 59/125. 47.2% = 0.472 = 472/1000 = 59/125.

Which of the quadratic functions listed is written in standard form?
O A. Y= 2x² + 3x - 5
O B. Y-4 = - 3(x - 5)
OC. Y - 7 = -2(x + 3)?
O D. Y= (x+1)(x – 5)

Answers

Answer: A

Step-by-step explanation:

f(x)=ax²+bx+c is the standard form for quadratic functions. Looking at the answer choices, we can eliminate B, C, D. They are not the same as the given standard form. B and C are point-slope formulas, which are not standard form. D is in intercept form, therefore it is not standard form. This leaves us with A as the correct answer.

A recipe for orange water says, “Mix 3 teaspoons yellow water with 1 teaspoon red water.” For this recipe, we might say: “The ratio of teaspoons of yellow water to teaspoons of red water is 3:1.”

Answers

Answer:6:2

Step-by-step explanation:

Answer:

how many batches you need to know? If 2 batches the answer is 6:2 and if 4 batches it is 12:4

Please help and hurry please thank you!
Choose the equation that
represents this situation. Use c to represent the
variable.
Tori received a $50 gift card for her birthday. After buying some clothes, she
had $32 left on the card. How much did she spend on the clothes?
A.c=32+50
B.32c=50
C.32-c=50
D.50-c=32

Answers

Answer:

oh i have done these before but this one is a little confusing bc i got 2 answers B or C

Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 40 hours and earned $495.60 enter and solve an equation to find julios hourly rate, r. Complete the explanation how you know that your answer is reasonable

Answers

Answer: $10.33

Step-by-step explanation:

Given: Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week.

Last week he worked 40 hours ( > 30 hours by 10 ) and earned $495.60.

Let r = Julio's hourly rate

if he worked over 30 hours in a week, then hourly rate = 1.2r

According to the question

[tex](1.2r)\times 40=495.60\\\\\Rightarrow\ r=\dfrac{495.60}{1.2\times 40}\\\\\Rightarrow\ r=10.325\approx10.33[/tex]

Hence, his hourly rate = $10.33

what is an expression is equivalent to 16.8 - 18.6

Answers

Answer:

- 1.8

Step-by-step explanation:

Step 1:

16.8 - 18.6

Answer:

- 1.8

Hope This Helps :)

Answer:

so is it negitive

Step-by-step explanation:

Round 45.396 to the nearest tenth

Answers

The answer would be 45.4

Answer:

Step-by-step explanation:

45.396

tenth place is 3

on the right of 3 is 9. 9 is higher than 5. Therefore 3 becomes a 4.

the answer is  45.4

1. 4 more than the difference of 8 and a number

Answers

Answer:

(8-n) + 4

4+ (8-n)

Step-by-step explanation:

I added 4 because it says "4 more" and I subtracted 8 and a variable because it says the "difference". I used a variable because the number is not specifically defined. I hope this helps!

Find the difference: 34x-4x+2y=?

Answers

Answer: The answer is 30x-2y

Step-by-step explanation: Subtract 4x from 34x to get 30x. Then the rest just falls down and you are left with 30x-2y. Also can you please give me a brainliest. I really need one.

15 points and brainlist! Math

Answers

Answer:

distribute the 3

Step-by-step explanation:

follow pemdas ill put a brainpop link below

its the answer highlighted in yellow

Answer:

the 4th option is the right answer

subtract the constants

hope this helped you

please mark as the brainliest (ㆁωㆁ)

What is the Range?
х. y.
1. 3
1. 4
3. 5
5. 6

Answers

Number five is your answer

work it out "the equation 1.5r + 15=2.25r represents the number r of movies u must rent to spend the same amount at each movie store. how many movies must u rent to spend the same amount at each movie store" then there's 2 pics one says "all rentals $1.50, membership fee $15" other says "membership free, all rentals $2.25"

Answers

Answer:

  20

Step-by-step explanation:

Your equation is correct. To solve it subtract 1.5r from both sides and divide by the resulting coefficient of r.

  15 = 0.75r

  15/0.75 = r = 20

You must rent 20 movies for the costs to be the same.

Other Questions
Given f (x) = 2x+1, find when f (x) = 9 Whats the answer confused with this ?? x decreased by 7 is 38 What is the current role of the electoral government Using the origin as a starting point, explain how you would plot the point (-5, 3). Which sentence is a run-on?All of the houses on our block have spacious yards with large evergreen trees.The video game uses new technology it makes the setting more realistic.Mr. McBride checked the local weather forecast before he set sail for the day.Mrs. Neely enjoys working in her garden filled with colorful plants and flowers. What value of x with make the equation below true? 1/2 (2x + 8) = 3x + 8 - xPlease help Why did small states like the system of representation in the Articles of Confederation? Which factor contributed most directly to the settlement and development of the Great Plains after the Civil War? Please help!!! I would like an explanation along with your answer. Thanks How can the study of biology improve human lives? Give two examples. Las lineasAmarilloAmarilla AmarillosAmarillas 27. Give the perimeter of the rectangle below insimplest form. 4.25 + (-3/8) + 2 1/4 To being 2 wholes MULTIPLE CHOICE / ASAP Who is given credit for starting the "Humanism" movement during the Renaissance? Question 5 options: Albrecht Durer Petrarch Machiavelli Erasmus what is the value of x if segment BC is 2x+4 and line Ac is 24 what is social harmony You walk 10 meters to class in 20 seconds , your average speed is ___ ? Which examples are dynamic characters? Choose three correct answers.Ebenezer Scrooge, who was very stingy, becomes generous after he is visited by his ghost.Harry Potter matures from regular kid to powerful young wizard.Waverly Jongs mom is overbearing and superficial from the beginning of the story to the end.The principal of Nancy Lees school is supportive and helpful throughout the story.Cinderella is transformed from maid to princess living in a castle. what is a dependent variable