find two consecutive odd integers such that 36 more than the lesser is three times the greater

Answers

Answer 1

Two consecutive odd integers means there's a difference of 2 between the numbers. More than the lesser is adding to the lower integer (x). The greater is the larger integer (x+2). "Is" means equals. Times means multiply.

x= first integer
x+2= second integer

x + 36= 3(x + 2)
multiply 3 by everything in parentheses
x + 36= 3x + 6
subtract x from both sides
36= 2x + 6
subtract 6 from both sides
30= 2x
divide both sides by 2
15= x

x= 15 first consecutive odd integer

x+2= second consecutive odd integer
15+2= 17

ANSWER: 15, 17

Hope this helps! :)

Answer 2

Final answer:

To find two consecutive odd integers such that 36 more than the lesser is three times the greater, set up an equation and solve for the variable x. The two consecutive odd integers are 15 and 17.

Explanation:

To find two consecutive odd integers such that 36 more than the lesser is three times the greater, we can set up an equation:

x + 36 = 3(x + 2)

Simplifying this equation, we get:

x + 36 = 3x + 6

Subtracting x from both sides, we get:

36 = 2x + 6

Subtracting 6 from both sides, we get:

30 = 2x

Dividing both sides by 2, we get:

15 = x

Therefore, the two consecutive odd integers are 15 and 17.

Related Questions

Main Idea: To evaluate an exponential growth or decay function, substitute a value for the exponent variable and simplify.

Evaluate each exponential function for the given value.

Answers

Hey there!

In order to do this, we can just plug in 1 where it says t. It's exponential decay because the decay factor is less than one. We have:

f(t) = 2 * (1/2)^3 =
2* 1/2 * 1/2 * 1/2 =
2 * 1/8 =
2/8 =
1/4

Hope this helps!

a square has an area of 81 square feet. what is the length of each side of the square?Explain how you know.

Answers

With a square, you know all sides will be the same, so the area (81 feet) divided by 4 sides equals 20.25 square feet.

What is the volume of the cube?

A.

1944 mm3

B.

54 mm3

C.

324 mm3

D.

5832 mm3
PLEASE HELP , I WILL MARK BRAINLIEST ..

Answers

Hi !
The volume of the cube is :
18 × 18 × 18= 5 832 mm³
The answer is D.

In a fifth grade class 3/4 of the students like to go to the movies.Of the students who like to go to the movies 2/3 of them like action movies.What fraction of the students in the class like to go to action movies?

Answers

2/3 of 3/4

[tex] \frac{2}{3}* \frac{3}{4} = \frac{1}{2}=0,5 [/tex] or 50% of the students like to go to action movies.

which of the following expressions represents the distances between -4 and 5 on the number line? A.|-4+5| B.|4-5| C.|-5-(-4)| D.|-4-5|

Answers

Answer:

Option C - [tex]|5-(-4)|[/tex]

Step-by-step explanation:

To find : Which of the following expressions represents the distances between -4 and 5 on the number line?

Solution :

According to number line,

<-----------|----|------|----|-----|----|---|----|----|----|-----|----|---------------->

-∞ -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +∞

The distance between -4 and 5 is given by,

[tex]d=|5-(-4)|[/tex]

Solving the expression,

[tex]d=|5+4|[/tex]

[tex]d=|9|[/tex]

[tex]d=9[/tex]

Therefore, The expression represents the distances between -4 and 5 on the number line is [tex]d=|5-(-4)|[/tex]

So, Option C is correct.

Answer:

D is the answer

Step-by-step explanation:

|-4-5|=|-9|=9

the distance between -4 and 0 is 4 .....and between 0 and 5 is 5

so the distance will be 4+5=9

find the GCF of 15x^4 and 35x^2

Answers

Find the factors for each term in order to find the GCF
your answer would be: 5x^2

Your answer would be 5x^2

Help? I have no idea...

Answers

Since the order is (x,y) it would be..
A translation by 5 units right.

What is the slope of the line through (−9,6) and (−6,−9)

Answers

m = y2 - y1 / x2 - x1 is the slope equation.

m = -9 - 6 / -6 + 9

m = -5

The slope is -5.

Hi!

Step-by-step explanation:

[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{Rise}{Run}[/tex]

[tex]\frac{(-9)-6}{(-6)-(-9)}=\frac{-15}{3}=-5[/tex]

Therefore, the slope is -5, which is our final answer.

Hope this helps you!

Have a great day! :)

-Charlie

Thank you!

PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS

The surface area of a square pyramid is 136 square inches. The base length is 4 inches. What is the slant height?

Answers

15 inches.

The side length of the base is 4. Find the surface area of the base only by squaring the side length - 4² - which is 16. The surface area of the base is 16 in².

The surface area of the entire pyramid can be found using this equation:

[tex]SA = B + \frac{1}{2} nbl[/tex]

Where:
- SA is the surface area (136 square inches)
- B is the area of the base (16 square inches)
- n is the number of triangles (4, because it's a square pyramid)
- b is the base length (4 inches)
- l is the slant length

Note that we have many parts of this equation, and all we need is the slant length. So, let's format the equation with what we have:

[tex]136 = 16 + \frac{1}{2} * 4 * 4 * l[/tex]

So then we want to solve for l, the slant height. So, start by subtracting 16 from each side. This would give us:

[tex]120 = \frac{1}{2} * 4 * 4 * l[/tex]

Now, multiply both sides by 2 to get rid of the fraction:

[tex]240 = 4 * 4 * l[/tex]

Finally, divide both sides by four, twice (divide by 16):

[tex]15 = l[/tex]

So, we know that the slant height of this pyramid is 15 inches.

How to find the surface area of the open net

Answers

To find the surface area of the open net, you’ll have to find the area of the faces
So, since there are 6 boxes you’ll have to find the area of the faces and add it up to find the surface area
10x4=40x4=160
3x4=12x2=24
160+24=184

Hope this helps ;)

Can someone plz give the answers to 13&14 people said that couldn’t see it so I put this one up :)

Answers

13. (1/3)*(3/4) = 1/4 . . . . of the aquarium animals are clown fish

14. 4*(1/5) = 4/5 . . . . . . . pounds of beef in 4 hamburgers

This is an ADDMATHS QUESTION so I'm not sure if anyone can help me but please try to ㅠ ㅠ: Find the equation of the normal to the curve y=ln(2x^2 - 7) at the point where the curve crosses the positive x-axis. Give your answer in the form ax+by+c=0 , where a, b and c are integers.

Answers

You can go through the effort of determining the zero of the function analytically and evaluating an analytic expression for the derivative at that point, or you can let a graphing calculator do that heavy lifting. Since the numbers have to be "nice" for your equation to have the desired form, it is easy to know what to round to in the event that is necessary (it isn't).

We find the positive zero-crossing at x=2, and the slope of the curve at that point to be 8. Thus the line will have slope -1/8 and can be written as
.. x +8y -2 = 0

This equation crosses the positive x-axis at (0, 2). I used a graphing calculator, you could brute force it if you'd like.

First, take the derivative of the equation given:
[tex]y = ln(2x^2-7)[/tex]
[tex]y' = \frac{4x}{2x^2-7} [/tex]

At 2, the function has a derivative of 8 (just plug in 2 to y'). So, the perpendicular to that has to have the slope -1/8 because of the negative-inverse rule. We have this until now:
[tex]y = -\frac{1}{8}x -2[/tex]

Now, we have to get a 0 on the right side, so, just get everything on the other side, and you are done.

What is the prediction for the outcome when the independent variable is 12?

Answers

36?
if the independent variable is on the x axis, and based on the given coordinate, the outcome is always triple the amount of the input.
multiply 12 by 3
12x3 is 36.
I THINK that 36 is the correct answer.

what is the factorization of 49b^2 - 81 ?
A - (7b-9)(7b-9)
B - (7b-9(b2^+9)
C - (7b2^-9)(7b2^-9)
D - (7b2^-9)(7b2^+9)

Answers

The answer is (7b+9)(7b-9), so whichever letter that corresponds to.

Find the quotient of -5x^3+20x^2-25x/-5x
A: -5x^3+20x^2+5
B: x^2-4x+5
C: -x^2-4x+5
D: x^2+4x-5

Answers

-5x^3+20x^2-25x/-5x
divide -5x into each term
=(-5x^3/-5x) + (20x^2/-5x) + (-25x/-5x)
when dividing exponents, subtract
=1x^2 - 4x + 5
=x^2 - 4x + 5

ANSWER:
B) x^2 - 4x + 5

Hope this helps! :)

Rick discounts a 100-day note for $25,000 at 13%. The effective rate of interest to the nearest hundredth percent is

A. 13.48%.
B. 13.03%.
C. 13.02%.
D. 13.49%.

Answers

First we have to calculate the amount of interest. This can be done by using the interest formula, I = P x R x T.

= 25,000 x 0.13 x (100/365)
= 902.78

This will be deducted from the principal amount, which is 25,000.

= 24,097

Last, we plug our values in to the effective rate formula for interest:

[tex] \frac{Interest}{Proceeds x Time of Note} [/tex]

902.78/6693.6722

= 13.487066

After rounding, we come to our final answer, which is D, 13.49%.

I need help please help please please please

Answers

Problem 1 is asking "the other cost."

It is described in the problem statement as "a cost for every one-tenth of a mile traveled." It is described in the table header as "Mileage Cost in Dollars."

The only value in the "Mileage Cost in Dollars" column is 1, which corresponds to a distance of 1/10 mile. So, it appears the numerical value of "the other cost" is $1 for each tenth-mile traveled.

___
The problem statement does not make clear whether the desired answer is the description of the other cost, or its numerical value.

There were n signers of the Declaration of Independence. The youngest was Edward Rutledge, who was x years old. The oldest was Benjamin Franklin, who was y years old. X is 25% of 104, 7 is 10% of y, and n is 80% of y. Y is what percent of (n+y-x)?

Answers

X = .25 x 104 X=26
Y= 7/.10 Y=70
N= .8 x 70 N=56
n+y-x 56+70-26=100

70/100 = .7 or 70%
The answer is: Y is 70% of (n+y-x)

Answer:

70%

Step-by-step explanation:

First we calculate X using the following formula:

X = 25/100 * 104

X = 0.25 * 104

X = 26

Then we calculate Y using the following formula:

7 = 10/100 * Y

7 = 0.1 * Y

7/0.1 = Y

Y = 70

Then we calculate N as per the formula below:

N = 80/100 * Y

N = 0.8 * 70

N = 56

Finally using the formula mentioned in question we derive Y what percent of N + Y - X:

= Y/ (N + Y - X) * 100

= 70/ (56 + 70 - 26) * 100

= 70/100 * 100

= 70%

The equation of the graphed line in point-slope form is what

Y-0=-3/5(x-3)

3y=-5(x-3)

Y-3=-3/5(x-0)

And it’s equation in slope-intercept form is what

Y=-9/5x+3/5

5y=-3(x-3)

Y=-3/5x+9/5

Answers

(-2,3) (3,0)

find slope
m= 0-3/(3+2) = -3/5

point slope is y-y1=m (x-x1)

point is (3,0) and m=-3/5

plug and chug

y-0=-3/5(x-3)

y=-3/5x+9/5

hope that helps

The local water slides have 80 employees, of which 30% are temporary. How many temporary employees are there ?

Answers

30% of 80 is 24 56 of them are permanent

Carol bought 12 stickers two thirds of the stickers where dogs how many of the stickers were dogs

Answers

2 12 24
- x - = - = 8
3 1 3
8 of the stickers are dogs

If Carol bought 12 stickers and two-thirds of them were dogs, then there were 8 dog stickers.
How to find the answer: divide 12 by three. It's four. Take four times 2, which is 8. Therefore, 8 of the stickers were dog stickers!

I hope I helped! If i did, don't forget to mark me as brainliest!

what is the fifference between [-3] and -3

Answers

6, if I get it wrong them I'm sorry

I think it is 6 hope it helps

Theo bought two hot dogs and two sodas for $4.00. At the same concession stand, Vicky bought three hot dogs and a soda for $4.50. What is the price of a hot dog at the concession stand?

Answers

Hotdog @ 0.50 cents
Soda @ $3.00

If Theo bought two hot dogs and two sodas for $4.00. At the same concession stand, Vicky bought three hot dogs and a soda for $4.50. Then $1.125 is the price of a hot dog at the concession stand

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Theo bought two hot dogs and two sodas for $4.00.

Let hot dogs denoted by H

Soda denoted by S

2H+2S=4...(1)

Vicky bought three hot dogs and a soda for $4.50

3H+S=4.50..(2)

Multiply (2) with 2

6H+2S=9..(3)

Now subtract 3 from 1

2H+2S-6H-2S=4.50-9

-4H=-4.5

H=1.125

Now plug in H value in 2

3(1.125)+S=4.5

3.375+S=4.5

S=4.5-3.375

S=1.125

Hence $1.125 is the price of a hot dog at the concession stand

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ3

what is 2.8 millimeters written in expanded form?

Answers

It’s simple, 2.0 + .8= 2.8

Expanded form is a way to write a number that shows the value for each place.

[tex] 2.8 \; mm = 2\; mm+\; 0.8\; mm [/tex]

Find the value of X. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale. Please show steps.

Answers

1. That is a right triangle, what means that it has a angle of 90°, so you can calculate the value of "x" "as below:

Tan(α)=Opposite leg/Adjacent leg

The angle α is 60°, so the opposite leg is "x" and the adjacent leg is 5.

2. When you substitue these values, you have:

Tan(α)=Opposite leg/Adjacent leg
Tan(60°)=x/5
x=(5)(Tan(60°)
x=5√3

Then, the answer is: The value of "x" is 5√3

can someone please help me asap !!!

Answers

For this case what you should be aware of is that the root does not take negative values.
We then have to be aware of the domain of the function.
Note: see attached graphic.
Ansewer
the domain of the graph is all real number less than or equal to 0
option 3

Find the slope of a road that rises 12 feet for every horizontal change of 100 feet.

Answers

The answer should be 0.12 because you have to do rise over run to get slope. So, 12 divided by 100 gets you 0.12.

Four of the angles of a pentagon measure 85°, 110°, 135°, and 95°. Find the measure of the missing angle.

Answers

pentagon angle sum=(n-2)*180=3*180=540
subtract all given angles you get 115

Answer:

115

Step-by-step explanation:

which is most likely the equation of the line shown on the graph?

Answers

The y-intercept is at (0, 3)
The slope is up one, over one.
The equation for this line would be
y = 1/1x + 3
which is equal to
y = x + 3

Hope this helps!

Answer:

The equation of line is y=x+3.

Step-by-step explanation:

Consider the provided graph.

The slope intercept form of a line is:

y=mx+c

Where m is the slope and c is the y intercept.

y-intercept is a point where the value of x is 0.

From the provided graph we can identify the y intercept of the line is 3. Because at (0,3) the value of x is 0.

Now find the slope of line as shown

[tex]m = \frac{Rise}{Run}[/tex]

Here for 1 unit of run the graph rise 1 unit, thus the slope of the line is:

[tex]m = \frac{1}{1}=1[/tex]

Now substitute the value of m and c in the slope intercept form.

y=x+3

Hence, the equation of line is y=x+3.

What happens if the correlation coefficient equals 0?

Answers

It means the variables are independent.

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