Two consecutive odd numbers are such that seven times the smaller, subtracted from nine times the bigger, gives 144. Find the numbers.

Answers

Answer 1

Let
x-------------> first odd number
x+2----------> second consecutive odd number

we know that
seven times the smaller, subtracted from nine times the bigger, gives 144

then
9*(x+2)-7*x=144-----------> 9x+18-7x=144---------> 2x=126-----> x=63

the numbers are
63 and 65

Answer 2

The smaller odd number is 63, and the next consecutive odd number is 65.

To find the consecutive odd numbers, an algebraic equation is set up and solved, yielding the smaller odd number as 63 and the next consecutive odd number as 65.

To find two consecutive odd numbers meeting the stipulated condition, we will set up an algebraic equation. Let the smaller odd number be represented by n, then the next consecutive odd number is n + 2. The given condition is that seven times the smaller odd number subtracted from nine times the bigger odd number equals 144. This can be expressed as the equation 9(n + 2) - 7n = 144.

Solving the equation:

Expand the equation: 9n + 18 - 7n = 144Combine like terms: 2n + 18 = 144Subtract 18 from both sides: 2n = 126Divide both sides by 2: n = 63

Therefore, the smaller odd number is 63, and the next consecutive odd number is 65.

Related Questions

Help I’m really stuck and need help fastttttttt!!!!!!!?

Answers

B. Y=2x

Which mean each 1 cost $2

If you buy 2 then it cost $4

I believe this is correct answer

I think it is y=2x is your answer

Koji is installing a rectangular window in a office building, the window is
8
2
3

feet wide and
5
3
4

feet high. The formula for the area of a rectangle is
A=bh
.What is the area of the window?Enter your answer as a mixed number in simplest form in the box. URGENT WORTH 58 POINTS AND WILL GIVE BRAINLIEST!!

Answers

4983/100

49 and 83/100 feet^2

hope I helped!

Let me know if you need anything else!

~ Zoe

The Wilkes family sold both of their cars. They sold one car for $7,700 and the other for $9,050. Estimate the difference in the selling price of the two cars by rounding to the nearest thousand and then subtracting.

Answers

the answer is 1,000 dollars

the answer would be 2,000 because you take 7,700 and round to 8,000 and then take 9,050 and round to 10,000 so 10-8=2,000

how to solve Questions 1&2?

Answers

1. x can be -1 or -3

2. x =(-6-√60)/-6=1+1/3√ 15 = 2.291 x =(-6+√60)/-6=1-1/3√ 15 = -0.291

Evaluate the expression when a=−15 and b=−5.

b2
------------ =
a + 5

Help

Answers

Final answer:

The value of the given mathematical expression b^2 divided by a+5 when a=-15 and b=-5 is -2.5.

Explanation:

In the given expression, we're asked to evaluate b2 divided by (a + 5), where a = -15 and b = -5. First we substitute the values of a and b into the expression.

So, b2 becomes (-5)2 = 25 and a + 5 becomes -15 + 5 = -10.

Now, substituting these results back into the original expression, we get 25 divided by -10, which equals -2.5.

Therefore, the value of the given expression when a=-15 and b=-5, is -2.5.

Learn more about Expression Evaluation here:

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Nate tells his mom that he took a test with 60 questions and scored 85%. How many questions did he answer correctly? Show how you know.

Answers

0.85 x 60 = 51.

He answered 51 questions correctly.

I know because a percent is out of a hundred, and if he got 60, he got a hundred percent.

find the area of the trapezoid with a base of 19 inches, height 12.6 inches and base 29.2 inches

Answers

Minor base: b=19 inches
Height: h=12.6 inches
Major base: B=29.2 inches

Area of the trapezoid: A
A=(b+B)h/2
Replacing the values:
A=(19 inches + 29.2 inches) (12.6 inches) / 2
A=(48.2 inches) (12.6 inches) / 2
A= (607.32 inches^2 ) /2
A= 303.66 inches^2

Answer: The area of the trapezoid is 303.66 square inches

Eleven is 20% of _______?

Answers

55
You Times 20% by 5 to get fully 100%
So if 11 is 20%
You have to Times 11 by 5 to get fully 100%
11 x 5 is 55.
The answer is 55

Answer: the answer is 55, eleven is 20% of 55

What is the measure of an angle that turns through 3/4 of a complete circle

Answers

A full circle would have 360 degrees so only 3/4 of that circle would be 270 degrees.

The measure of an angle that turns through 3/4 of a complete circle is 270°.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

The angle of the complete circle is 360°.

Then, 3/4 of a complete circle will be,

360 × 3/4 = 270°

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Alicia is making a triangular sign for the school play. The area of the sign is 558 in. The base of the triangle is 36in. What is the height of the triangle?

Answers

To find the height of the triangle you will use the formula to find the area of the triangle and the information provided about the area and the base length.

A= 1/2 bh
558 = 1/2 x 36 x h
558 = 18 x h

To solve for the height divide both sides by 18.

This leaves you with 31 = h.

So, the height is 31 inches.

Answer:31 in

Step-by-step explanation:558 ×1/2 ×36 × h = 31 in

Can someone help please........ thanks

Answers

3mph hope his help you

How many 1/8s are in 3?

Answers

The answer is 24 because if you multiply the whole number by the denominator of the fraction, you get your answer. Also, 8 one eighths is equal to one, so 3 of them is 24.

Hope this helps;)

There are 24 number of 1/8s are in 3.

What is Division?

A division is a process of splitting a specific amount into equal parts.

We need to find how many 1/8 's are in 3.

To find this we just need to divide three by 1/8.

3/1/8

Three is divided by one by eight.

The whole number is divided by the fraction.

The fractions has numerator and denominator.

When whole number is divide by the fraction the result we get by multiplying the whole number by denominator of the fraction.

3×8/1

Hence, there are 24 number of 1/8s are in 3.

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Write each statement as a proportion using colons. 4 is to 20 as 2 is to 10.

Answers

4:20 as 2:10

Or if you were to simplify it :

1:5

how to find the surface area of the cube

Answers

So, if you want to find the surface area of the cube, you have to find the areas of the sides.
First, you have to find the area of the front, back, right, left, bottom, and top of the cube
Then, you multiply
Front/Back = 5x3 = 15 x 2 = 30
Right/Left = 5x5 = 25 x 2 = 50
Top/Bottom = 3x5 = 15 x 2 = 30
Finally, you add it all up 30 + 50 = 80 + 30 = 110

Hope this helps! ;)

Of each side of a equilateral triangle has a measure of 14 units what is the measure of the altitude (1 point)

Answers

14*sin(60°) = 7√3 ≈ 12.124 . . . is the altitude

Please helpppppppppppp

Answers

Part A
The scale is found by dividing the total actual distance by the measured distance.

Actual distance = 24 miles
Measured distance = 4 1/2 inches

Scale = 24 / 4 1/2
Scale = 24 / 4.5

The scale generally written as 1 unit on the map : whatever the distance is in miles or km.

Scale = 1 inch on the map : 5 1/3 miles
1:5 1/3 is normally the way the ratio is written.

Part B
You need a proportion for this
1/4 inch = 1 mile
x = 24 miles

Cross multiply
x = 1/4 * 24
x = 6 inches.

x = 6 inches.There are 24 1/4s in 6 inches.

Help please I’m stuck on this problem

Answers

120 km / 2km = 60

60*0.5 = 30 cm

The answer is 1cm because 0.5 x 2 is 1

Hope this helps :)

Given a right prism where p is the perimeter of the base, h is the height, BA is the area of the bases, and LA is the lateral area, what is the surface area?

Check all that apply.Mulitple answers not just one answer!

A. SA=16-LA
B. SA=BA+LA
C. SA=1/2 16+LA
D. SA=BA+ph
E. SA=p+LA

Answers

let
p ----------------> is the perimeter of the base
h ---------------> is the height
BA-------------> is the area of the bases
LA--------------> is the lateral area

we know that surface area is the sum of base areas plus lateral areas
then
SA=[BA]+P*h
but remember that
LA=P*h
then
SA=[BA]+LA----------> SA=BA+LA

the answer are the options B.) SA=BA+LA and the option D.) SA=BA+ph

Answer:

SA= BA+ph

SA= BA+LA

Step-by-step explanation:

Just did this question on APEX.

A cylinder has a surface area of 1850 square meters and a radius of 9 meters. Estimate the volume of the cylinder to the nearest whole number.

Answers

The volume would be approximately 6035 cubic meters.

4/9. 11/13. 6/5. 14/21 in simplest form

Answers

4/9 in simplest form is 4/9
11/13 is in it's simpliest form
65 = 1 1/5
14/21=2/3

4/9 is in simplest form.
11/13 is in simplest form.
6/5=1 1/5
14/21 is 2/3.

Hope this helped☺☺

Jessica is saving for college. She makes a $75 deposit each week into her savings account. She also decided to use some of the money from the savings account to buy a new music player for $225. The inequality 75x−225≥975 can be used to find x, the number of weeks it will take Jessica to have at least $975 in the account for college. Which graph shows the solution of this inequality?

Answers

75x-225> or equal to 975
Add 225 from both sides
75x = 1200
X = 16

So x > or equal 16

Describe how to draw the geometric mean in a right triangle

Answers

Answer: The height of the altitude from the hypotenuse to the vertex of the right angle is the geometric mean of the two segments formed on the hypotenuse.

The geometric mean of two numbers is the square root of the product of the numbers.

When you draw your altitude, you will divide the hypotenuse into 2 segments. The geometric mean of those two lengthsis also the height of the altitude.

Final answer:

To draw the geometric mean in a right triangle, first draw a perpendicular from the right angle to the hypotenuse, creating two smaller triangles. Then use the properties of similar triangles or the Pythagorean theorem to find the geometric mean, which is the length of the perpendicular you drew.

Explanation:

To draw the geometric mean in a right triangle, you can use the following step-by-step method:

Identify the right triangle within which you want to find the geometric mean. Assume this triangle has sides of lengths a and b, with c being the hypotenuse.Drop a perpendicular from the right angle to the hypotenuse, subdividing the original triangle into two smaller right triangles. This line segment will be the geometric mean, which we can label as x.Apply the properties of similar triangles or the Pythagorean theorem. The two smaller triangles will be similar to the original right triangle and to each other.The geometric mean x relates to the segments of the hypotenuse (which can be labeled d and e, where d + e = c), through the relationships x² = ad and x² = be.Since x is the geometric mean between a and b, the equations can also be written as x = √(ad) and x = √(be).Finally, measure the length of the perpendicular line you have drawn with a ruler to get the magnitude of the geometric mean x, or calculate it using the relationships stated.

The Pythagorean theorem, a² + b² = c², can also be helpful in finding the lengths of the segments on the hypotenuse if they are not given.

the equation of a circle is x - y + 1 = 0 . if one end of the diameter is ( 3, p) and other end is ( a, 2 ) , find the equation of the circle.

Answers

I gave the answer earlier, but here is the solution again, along with a graph proving it is correct.

The equation of the circle in standard form is represented by the expression x² + y² = 2.

How to analyze a geometric locus

Geometric loci are point sets that represents a figure. A circle is a case of geometric locus. In this question we must determine the coordinates of the two points contained in the circumference and derive a circle equation in standard form.

Now we proceed to solve the following system of linear equations:

p = 4 (1)

a = 1 (2)

Then, the ends of the diameter are (3, 4) and (1, 2) and the radius of the circle is found by the following Pythagorean expression:

[tex]r = \frac{1}{2}\cdot \sqrt{(1-3)^{2}+(2-4)^{2}}[/tex]

r = √2

Lastly, the equation of the circle in standard form is represented by the expression x² + y² = 2. [tex]\blacksquare[/tex]

Remark

The statement is incomplete. Complete statement is shown below:

The equation of the diameter of a circle is x - y + 1 = 0. If one end of the diameter is (3, p) and other end is (a, 2). Find the equation of the circle.

To learn more on circles, we kindly invite to check this verified question: https://brainly.com/question/11833983

Malik drinks 1/2 liter of water and 1/3 liter of juice. Did Malik drink more water or juice?

Answers

He drank more water, because 1/3 is less than 1/2. Hope this helps!!!

Malik drank more water because 1/2 is greater than 1/3

Write the explicit formula that represents the geometric sequence -2, 8, -32, 128

Answers

The Geometric Sequence Formula:

[tex]a_n=a_1r^{n-1}[/tex]

We have:

[tex]a_1=-2,\ a_2=8,\ a_3=-32,\ a_4=128,\ ...[/tex]

[tex]d=\dfrac{a_{n+1}}{a_n}\to d=\dfrac{8}{-2}=-4[/tex]

Substitute:

[tex]a_n=-22\cdot(-4)^{n-1}=-22\cdot(-4)^n\cdot(-4)^{-1}=-22\cdot(-4)^n\cdot\left(-\dfrac{1}{4}\right)=5.5(-4)^n[/tex]

Answer:

Step-by-step explanation:

so the answer would be?????

A survey finds that 40% of students ride in a car to school. Eri would like to estimate the probability that if 3 students were randomly selected, only 1 rides in a car. To simulate this probability, she lets the numbers 0, 1, 2, and 3 represent a student who rides in a car to school and then 4, 5, 6, 7, 8, and 9 represent a student who does not ride in a car to school. She then has a computer randomly select 3 numbers. She repeats this process for 20 trials. The results of these trials are shown in the table. 468 380 120 220 553 945 935 607 473 490 074 981 692 518 408 954 943 389 594 569 Based on this simulation, what is the estimated probability that only 1 of 3 randomly selected students rides in a car to school? Enter your answer, as a decimal, in the box.

Answers

Your answer is going to be 0.60

Final answer:

The estimated probability that only 1 of 3 randomly selected students rides in a car to school is 0.4 or 40%.

Explanation:

The estimated probability that only 1 of 3 randomly selected students rides in a car to school can be calculated by dividing the number of trials where only 1 student rides in a car by the total number of trials. In this case, there were 8 trials where only 1 student rides in a car out of a total of 20 trials.

Therefore, the estimated probability is:

8 / 20 = 0.4

So, the estimated probability is 0.4 or 40%.

vince begin practicing up on a piano at 5:15 p.m. he stopped playing at 5:35 p.m. how many degrees did the minute hand turn during vince's
practice time explain how you found your answer.

Answers

The minute hand turned 120 defrees.

For every 5 minutes, minute hand will turn 30 degrees as it takes 12 times 5 minutes to complete one round (one hr), which is 360 degrees. For Every 15 minutes, it turns 90 defrees.

So from 5.15 to 5.35pm, the minute had turned 20 minutes, that is 4 times of 5 minutes.

4 times of 5 minutes is equal to 4 times of 30 degrees, since it turns 30 degress for every 5 minutes.

So it has turned 120 degrees to move from 5.15 pm to 5.35 pm

Since you must turn 360 degrees to get around a full hour (60 minutes) we know that 10 minutes = 60 degrees of change because 360 / 6 = 60. Vince played piano for 20 minutes (5:15 - 5:35), and 2 x 10 = 20, so to ensure the equation 10 (minutes) = 60 (degrees) stays equivalent, we'll multiply 60 by 2 too. 60 x 2 = 120, so the minute hand turned 120 degrees during Vince's practice time.

In the figure, a∥e , m∥n , and m∠2 = 117°.

What is m∠5 ?

63°

90°

117°

180°

Answers

a∥e , m∥n , and m∠2 = 117°
<5 = 180 - <2
<5 = 180 - 117
<5 = 63

answer
63°

63 is the answer

what the person said

Read the following statement: Line segment AB is congruent to line segment QR. Which of the following is an equivalent statement?
AB overbar is similar to QR overbar
AB overbar equals QR overbar
AB overbar is an element of QR overbar
AB overbar is congruent to QR overbar

Answers

AB overbar is congruent to QR overbar

Answer: [tex]\overline{AB}[/tex] is congruent to [tex]\overline{QR}[/tex].

AB overbar is congruent to QR overbar.

Step-by-step explanation:

The given phrase : Line segment AB is congruent to line segment QR.

We know that to represent a line segment MN we write it in the below notation:-

[tex]\overline{MN}[/tex] (By putting a bar on the name)

Similarly , Line segment AB can be written as [tex]\overline{AB}[/tex] and Line segment QR can be written as [tex]\overline{QR}[/tex]

Therefore , we write the given phrase as : [tex]\overline{AB}[/tex] is congruent to [tex]\overline{QR}[/tex].

Please help!
A square hot tub will be placed in the center of an enclosed area near the pool. Each side of the hot tub measures 6 feet. It will be surrounded by x feet of deck on each side. The enclosed space is also square and has an area of 169 square feet. Find the width o the deck space around the hot tub, x.

Part 1
Write an equation for the area of the enclosed space in the form y=(side length)^2. Hint: Don't forget to add x to each side of the hot tub.

Part 2
Substitute the area of the enclosed space for y in your equation.

Part 3 Solve your equation from part 2 for x.

Part 4
What is the width of the deck around the hot tub.

Answers

The area of the enclosed space is given by the equation
(6+2x)² = 169

We can take the square root of both sides, since 169 is a perfect square:
√(6+2x)² = √169
6 + 2x = 13

Subtract 6 from each side:
6 + 2x - 6 = 13 - 6
2x = 7

Divide both sides by 2:
2x/2 = 7/2
x = 3.5

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