Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem?

Answers

Answer 1

The three consecutive odd integers : 7, 9, 11

Further explanation

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

• 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

• 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

• 3. constants

is a fixed value, can be a number

• 4. arithmetic operations

+ , - , : , x

integer number: numbers consist of positive, negative and 0 numbers

Odd number: Any integer that cannot be divided by 2.

The last digit is 1, 3, 5, 7 or 9

Because it is divided by 2, the difference between the two numbers is also 2 for consecutive numbers

Then consecutive odd numbers can be symbolized:

x, x + 2, x + 4, x + 6, x + 8, etc.

For example, 3 consecutive odd numbers are:

x + 4, x + 6, x + 8

the sum of the largest and twice the smallest is 25, can be expressed in terms of arithmetic operations:

(x + 8) + 2 (x + 4) = 25

So the solution:

x + 8 + 2x + 8 = 25

3x + 16 = 25

3x = 9

x = 3

So the smallest number is:

= x + 4

= 3 + 4

= 7

or

Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25.

Answer 2

Answer:

The three integers are 7, 9, 11.

The equation is: 2x + x + 4 = 25

Step-by-step explanation:

The problem asks to use x to represent the smallest of the three integers.

Odd integers are 2 units apart, such as 1, 3, 5, 7. The difference between consecutive odd integers is 2.

Since the smallest odd integer is x, then the next larger one is x + 2. The largest odd integer is x + 2 + 2, or x + 4.

The three odd integers are

x, x + 2, x + 4

The problem then states "the sum of the largest and twice the smallest is 25."

The largest one is x + 4.

Twice the smallest is 2x.

Their sum is 2x + x + 4.

That sum equals 25.

2x + x + 4 = 25

3x + 4 = 25

3x = 21

x = 7

The smallest integer is 7.

Then x + 2 = 7 + 2 = 9,

and x + 4 = 7 + 4 = 11.

Answer: The three integers are 7, 9, 11.

The equation is: 2x + x + 4 = 25


Related Questions

Pls I Need Help!
Triangle E F G. Side E F is 6 meters, F G is 5 meters, E G is 7 meters. Triangle K L J. Side K L is 28 meters, L J is 24 meters, J K is 20 meters.
Given that these triangles are similar, which side corresponds to side GE?

Given that these triangles are similar, which side corresponds to side JK?

Answers

Answer: The first one is KL and the second one is most likely FG.

Answer:

1: KL

2: FG

Step-by-step explanation:

Just did it on Edge 2020-2021

Every summer Kendra plants a vegetable garden in her yard last year she planted six rows of tomatoes eight rows of peppers Kendra wants to keep the same ratio this year but she only plants to plant three roasted tomatoes how many rows of peppers well Kendra plant this year

Answers

Answer: Ratio's 3:5

Step-by-step explanation:

Ratio of last year 6:8 Now this year since she wants to only plant 3 rows of tomatoes there would be five rows of tomatoes cuz ur taking away three rows form each typa veggie so the new ratio is now 3:5

((Hope it Helps))

Please help! I don’t understand

Answers

the correct answer is B

The answer is definitely B

Find the slope of the line that passes through the pair of points (10/17,2/17) and (9/17,13/18) a.-18/185 b. -185/18

Answers

Answer:

b)  -185/18

Slope of the line   [tex]m = \frac{-185}{18}[/tex]

Step-by-step explanation:

Explanation:-

Given two co-ordinates are

[tex](\frac{10}{17} , \frac{2}{17} ),(\frac{9}{17} , \frac{13}{18} )[/tex]

Slope of the line

                 [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

                [tex]m = \frac{13/18 - 2/17 }{9/17 - 10/17 }[/tex]

                [tex]m = \frac{\frac{221-36}{18 X 17} }{\frac{-1}{17} }[/tex]

On simplification, we get

              [tex]m = \frac{-185}{18}[/tex]

The measure of Angle 1 is 95 degrees. Which of the following is NOT a true
statement about the angles shown below?*

Answers

Answer:

The second choice. m < 4 = 85 degrees.

Step-by-step explanation:

m < 4 = 180 - m < 1

= 180 - 95

= 85 degrees.

The measure of angle 4 is 85 degrees.

How does an angle form?

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The point of their joint is called vertex of that angle.

Those two line segments forming it are called arms of that angle.

The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

We are given that measure of Angle 1 is 95 degrees.

Therefore, we can see that  angle 4 and Angle 1 makes linear pair so.

Angle 4 = 180 - Angle 1

= 180 - 95

= 85 degrees.

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express 1.875 in the form p/q

Answers

Answer:

If the answer asks for improper fraction it is [tex]\frac{15}{8}[/tex]

If it asks for simplest form it is [tex]1\frac{7}{8}[/tex]

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

[tex]1.875=\frac{1.875}{1}[/tex]

Multiply to remove 3 decimal places. Here, you multiply top and bottom by [tex]10^3=1000[/tex]

[tex]\frac{1.875}{1} *\frac{1000}{1000} =\frac{1875}{1000}[/tex]

Find the Greatest Common Factor (GCF) of 1875 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 125

[tex]\frac{1875/125}{1000/125} =\frac{15}{8}[/tex]

Simplify the improper fraction

[tex]=1\frac{7}{8}[/tex]

wiil mark bianleast
Which describes the translation?


7 units to the right and 2 units down

7 units to the right and 2 units up

2 units to the left and 7 units up

7 units to the left and 2 units down

Answers

Answer:

7 units to the right and 2 units up

Step-by-step explanation:

Choose the product. -6 p3 (3 p2 + 5 p - 1)

Answers

Answer:

-18p^5 - 30p^4 + 6p^3

Exponent of x?
Exponent of y?

Answers

Answer:

[tex] x^{33} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^8y^{-26}}{x^{14}y^{-5} \times x^{-39}y^{-21}} = [/tex]

A negative exponent in the numerator is a positive exponent in the denominator.

A negative exponent in the denominator is a positive exponent in the numerator.

[tex] = \dfrac{x^8y^{5}x^{39}y^{21}}{x^{14}y^{26}} [/tex]

[tex] = \dfrac{x^{8 + 39} y^{5 + 21}}{x^{14}y^{26}} [/tex]

[tex] = \dfrac{x^{47} y^{26}}{x^{14}y^{26}} [/tex]

[tex] = x^{47 - 14} y^{26 - 26} [/tex]

[tex] = x^{33} y^{1} [/tex]

[tex] = x^{33} [/tex]

Find the distance of point U(2, 3) from point V(5, 7).​

Answers

Answer:

5

Step-by-step explanation:

You can draw a point at (5,3) and call it point A.

Connect point A with V and U to get VA = 4 and UA = 3.

You get a right triangle and use pythagoream theroem. The answer is the root of 4^2 + 3^2 which equals to 5.

The answer is 5

use the data from the table to create a scatter plot. plot al the data points from the table.

Answers

Answer:

Place a point at

8,4

5,7

6,5

10,4

2,11

4,7

3,9

1,13

1,11

3,12

4,2

7,2

5,24

9,3

5,5

Step-by-step explanation:

Answer:

Put points on

8,4

5,7

6,5

10,4

2,11

4,7

3,9

1,13

1,11

3,12

4,2

7,2

5,24

9,3

5,5

Step-by-step explanation:

PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!

A game has 150 cards, and five of them are bonus cards. If all the cards are on the table, what is the probability of getting a bonus card when choosing a card at random? Write your answer as a fraction.

Answers

Answer:

1/30

Step-by-step explanation:

well if there are 150 cards on the table and 5 are bonus, this can be turned into a simple fraction 5/150. just simplify and you are good to go!

factor the expression. x^2+11x+28​

Answers

Answer:(x+4)(x+7)

Step-by-step explanation:

The middle number is 11 and the last number is 28.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 11

Multiply together to get 28

Can you think of the two numbers?

Try 4 and 7:

4+7 = 11

4*7 = 28

Fill in the blanks in

(x+_)(x+_)

with 4 and 7 to get...

(x+4)(x+7)

I need help asap pls help me

Answers

Answer:

36 ft

Step-by-step explanation:

The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:

[tex]x=\sqrt{10^2+24^2}=\sqrt{100+576}=\sqrt{676}=26[/tex]

Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!

If h(x) = x-7 and g(x) = x2, which expression is equivalent to (gº h)(5)?

Answers

Answer: [tex]g(5) *h(5) = (5-7)(5^2)= (25)(-2) = -50[/tex] Im assuming that g(x) is x^2, since you were incapable of writing the exponent sign

Step-by-step explanation:

[tex](g*h)(x)=g(x)*h(x)[/tex]

So this means the functions should be multipled and both evaluated at x = 5

The value of the composition of functions ( g o f ) ( 5 ) = 4

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as h ( x )

Now , the value of h ( x ) is

h ( x ) = x - 7

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = x²

Now , the composition of function ( g o f ) ( 5 ) is given by

The value of f ( 5 ) = 5 - 7 = -2

Now , the value of g ( -2 ) is

g ( -2 ) = ( -2 )²

g ( -2 ) = 4

Hence , the composition of function is solved and the value is given by A = ( g o f ) ( 5 ) = 4

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y = 6x - 11
- 2x – Зу = -7

Solve the systems of equations by substitution

Answers

x=-6 the answer might not be right i’m kinda stupid ngl

The systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).

What is Equation?

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

The given system of equations are y = 6x - 11 and

- 2x – Зу = -7

substitute y value in second equation.

-2x-3(6x-11)=-7

Apply distributive property

-2x-18x+33=-7

Combine the like terms

-20x+33=-7

Subtract 33 from both sides

-20x=-7-33

-20x=-40

Divide both sides by 20

x=2

Now subtract x=2 in equation 1

y=12-11=1

Hence,  the systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).

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What is the inverse of the function f(x) = 4x - 12

Answers

Answer:

y=x+12/4

Step-by-step explanation:

y=4x-12

x=4y-12 (then make y the subject)

x+12=4y(divide both sides by 4)

y=x+12/4

Y=x+12/4.
There you go bud

(QUICK RESPONSE!!!) Which graph shows the solution set for 2 x + 3 greater-than negative 9?

Answers

Answer:

It's the last answer choice

Step-by-step explanation:

2x+3> -9

2x+3-3> -9-3

2x> -12

2x/2> -12/2

x> -6

Answer:

d

Step-by-step explanation:

rewrite the expression with a rational exponent as a radical expression.

Answers

Third option is the correct answer.

Answer:

[tex] \sqrt{5} [/tex]

Step-by-step explanation:

[tex] \huge \bigg( {5}^{ \frac{3}{4} } \bigg) ^{ \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{3}{4} \times \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{6}{12} } \\ \\ \huge = {5}^{ \frac{1}{2} } \\ \\ \huge = \sqrt{5} [/tex]

The perimeter of the scalene triangle is 54.6 cm.

A scalene triangle where all sides are different lengths. The base of the triangle, labeled 3 a, is three times that of the shortest side, a. The other side is labeled b.

Which equation can be used to find the value of b if side a measures 8.7 cm?

8.7 plus b equals 54.6
17.4 plus b equals 54.6
26.1 plus b equals 54.6
34.8 plus b equals 54.6

Answers

Answer:

8.7 plus b equals 54.6

Step-by-step explanation:

4(8.7) + b = 54.6.

b = 19.8 cm.

The sum of the sides = the perimeter = 3a + a + b = 54.6.  

Now a = 8.7, so:

3(8.7) + 8.7 + b = 54.6

4(8.7) + b = 54.6.

b = 54.6 - 4(8.7)

b = 19.8.

Answer: D.) 34.8 + b = 54.6

Step-by-step explanation: i hope this helps :)

How do I find the value of x to the nearest degree?

Answers

Answer:

I don't know if it's too advanced for you but you could use the arctangent function.

[tex]tan (x)=\frac{15}{8}\\ x=tan^{-1}(\frac{15}{8} )\\x= 61.9275[/tex]

WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK) ($47.83 WON'T BE THE CORRECT ANSWER)

Answers

Answer: $48

Step-by-step explanation:

From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.

Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:

x + (6% of x) = $50.88

x + (6/100 × x) = $50.88

x + (0.06 × x) = $50.88

x + 0.06x = $50.88

1.06x = $50.88

When then divide by the coefficient of x

1.06x/1.06 = #50.88/1.06

x = $48

The price before the tax is $48

What’s the vertex of y=1/3(x+2)^2-5

Answers

Answer:

vertex is (2,-5)

Step-by-step explanation:

y = a(x – h)^2 + k

the  vertex is (h,k) in the equation h =2 and k = -5

Please HELP!! will mark brainiest


Which correlation coefficient could represent the relationship in the scatterplot? A) 0.34 B) -.098 C) -1.43 D) 0.99

Answers

Answer:

B) -0.98

Step-by-step explanation:

Correlation coefficient is usually denoted with numbers ranging from 1 to -1. Automatically, this eliminates option C) as our possible answer, since -1.43 is outside the range.

The trend shown in the scatter plot describes a negative relationship because, as the values in the Y-axis decreases, the values at the X-axis increases. The possible correlation coefficient we are likely to get is one that is negative. This eliminates option A and option and option D is our possible correlation coefficient for the scatter plot given since both values are positive.

Option B) -0.98, best represents the correlation coefficient of the given scatter plot. Since the points on the scatter plot seem closely aligned on a straight line, a negative value if -0.98 is mostly the possible one to get.

Answer:

-0.98

Step-by-step explanation:

what is the y-intercept, maximum point and the x intercepts of f(x)= -x^2÷1 +4​

Answers

Answer:

maximum point: (0, 4)

x-intercepts: (2, 0), (-2, 0)

y-intercepts: (0, 4)

Vector donated 1/5 of yesterday's sales plus an additional $125. He gave Azul $2,225 total. How much money did the store make in sales yesterday?

Answers

Yesterday, the store made $10,500 in sales

lindsey completed a 30 point assignment. she eared 21 points what percent did she earn?

Answers

Answer:

Lindsey got 70% on this assignment.

Step-by-step explanation:

21 divided by 30 equals 0.7 which is 70% in percent form.

Answer:

She earned a seventy percent.

Step-by-step explanation:

You set the problem up like  21/30 = x/100.

Then, you cross multiply and you get 30x=2100.

From there, you divide each side by thirty and then you get x = 70.

And that brings you to 70 percent. Hope this helps!

A roll of gift-wrapping paper can cover 232.2 sq. in. Jimmy wants to wrap a soccer ball that he is giving as a gift. What is the maximum radius of the ball that Jimmy can wrap? Use 3.14 for π.
a. 3.8
b. 4.3
c. 9.2
d. 18.5

Answers

Answer:

Radius, r = 3.8 inch

Step-by-step explanation:

A roll of gift-wrapping paper can cover 232.2 sq. in. Jimmy wants to wrap a soccer ball that he is giving as a gift.

We need to find the maximum radius of the ball that Jimmy can wrap. The volume of a spherical shaped object is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

r = radius of the ball

[tex]r=(\dfrac{3V}{4\pi})^{1/3}\\\\r=(\dfrac{3\times 232.2}{4\times 3.14})^{1/3}\\\\r=3.8\ \text{inch}[/tex]

So, the maximum radius of the ball that Jimmy can wrap is 3.8 inches. Hence, this is the required solution.

The maximum radius of the ball that Jimmy can wrap is 3.8 inches.

Maximum radius of the ball

The maximum radius of the ball is calculated from volume of a sphere.

V = ⁴/₃πr³

where;

r is radius of the spherical ball

232.2 = ⁴/₃πr³

3(232.2) = 4πr³

696.6 = 4πr³

r³ = 696.6/4π

r³ = 55.433

r = (55.433)^¹/₃

r = 3.8 in

Thus, the maximum radius of the ball that Jimmy can wrap is 3.8 inches.

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How does the graph of f(x) = (x - 1)2 relate to the basic function f(x) = x??
a.
shift 1 unit to the left
shift 1 unit to the right
C.
d.
shift 1 unit up
shift 1 unit down
b.
Please select the best answer from the choices provided

Answers

Answer:

Shift 1 unit to the right, i.,e. option (c).

Step-by-step explanation:

Note: Both functions can not be represented by f(x) and square is missing in basic function.

The given basic function is

[tex]f(x)=x^2[/tex]

The given function is  

[tex]g(x)=(x-1)^2[/tex]

So, the given function can be written in the form of basic form as

[tex]g(x)=f(x-1)[/tex]     ...(1)

The translation is defined as

[tex]g(x)=f(x+a)2+b[/tex]     .... (2)

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=-1,b=0[/tex]

Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).

Answer:

It C

Step-by-step explanation:

Which expression is equivalent to
15a8b4/5a4b?

Answers

Answer:

[tex]3a^4b^3[/tex]

Step-by-step explanation:

[tex]\frac{15a^8b^4}{5a^4b}\\\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3\\=\frac{3a^8b^4}{a^4b}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{a^8}{a^4}=a^{8-4}\\=\frac{3b^4a^{8-4}}{b}\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=\frac{3a^4b^4}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:b\\3a^4b^3[/tex]

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