Given three consecutive odd integers, what is the greatest number if triple of the sum of thrice the third one and twice the first one is equal to 291? ( grid-in )​

Answers

Answer 1

Let n be the smallest of these integers. The other two are then n + 2 and n + 4.

"triple of the sum of thrice the third one and twice the first one is equal to 291" is a long-winded way of saying

3 (3 (n + 4) + 2n) = 291

Solve for n :

3 (3n + 12 + 2n) + 291

3 (5n + 12) = 291

15n + 36 = 291

15n = 255

n = 17

Then the greatest of the three integers is n + 4 = 21.


Related Questions

The circumference of a compact disc is 28.26 centimeters. What is the radius?

Please help

Answers

Answer:

The radius is 4.5cm.

Step-by-step explanation:

Circumference is the distance around the outside of a circle, the perimeter of the circle. Circumference formula is:

C = pi•d OR

C = 2•pi•r

Since we are looking for radius, use the second formula.

C = 2•pi•r

28.26 = 2pi•r

Divide by 2pi.

28.26/2pi = r

r = 4.5

The radius is 4.5 cm.

HELPL ME PLEASE I HAVE THE IMAGE READ IT !!!!!

Answers

Answer:

494

Step-by-step explanation:

931-437=494 :)

How to solve 12 1/2 x 4 in area model?

Answers

Hey there!

12 1/2 * 4

= 12 1/2 * 4/1

= 12 * 2 + 1 / 2 * 4/1

= 24 + 1 / 2 * 4/1

= 25/2 * 4/1

= 25(4) / 2(1)

= 100 / 2

= 100 ÷ 2 / 2 ÷ 2

= 50 / 1

= 50

EASIER UNDERSTANDING….

= 25 + 25 + 25 + 25 / 2 + 0

= 50 + 50 / 2 + 0

= 100 / 2

= 100 ÷ 2

= 50


Therefore, your answer is: 50


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Mrs. Sloan is purchasing 3.4 pounds of trail mix that costs $4.25 per pound. How much change will Mrs. Sloan receive if she gives the cashier $20.00?

Answers

Answer:

she should get in change $5.55

A: y=6n+ 4 When n =5
B: y=45-(9n+7) When n = 2

Answers

Answer:

A=34 B=20

Step-by-step explanation:

A: y=6(5)+4 (34)

B: y=45-(9(2)+7)

y= 45-(18+7)

y=45-25 (20)

Please help! Will mark brainlyest.

Answers

Answer:

It would be the last one

Step-by-step explanation:

If y varies directly with x and
y=15 when x is 9, what is x when
y=30?

Answers

Answer:

x = 18

Step-by-step explanation:

given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 15 when x = 9 , then

15 = 9x ( divide both sides by 9 )

[tex]\frac{15}{9}[/tex] = x , that is

x = [tex]\frac{5}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] x ← equation of variation

when y = 30 , then

30 = [tex]\frac{5}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

90 = 5x ( divide both sides by 5 )

18 = x

Answer: 18

Step-by-step explanation:
Y = Xk
15 = 9k
15/9 =k
30 = 15/9 × X
30/1 ÷ 15/9 =X
30/1 × 9/15 = 270/15

A little more help???

Answers

Answer:

12.7

Step-by-step explanation:

9^2+9^2=162

square root of 162 equals roughly 12.7

Use the pythagorean theorem

14 1/2 - 2 1/3 what is the answer to this equation?

Answers

Answer:

12 1/6

It wants me to add more but there's nothing to add

Find the surface area of the cone in terms of pi. 15cm 3cm

Answers

Answer:

The surface area of cone = 54π cm²

Step-by-step explanation:

Given ;

Radius = 3 cm

slant height = 15cm

The surface area of cone = πr ( r + l )

=> π × 3 ( 3 + 15)

=> π × 3 ( 18)

=> 54 π cm²

Answer:


Option a



Explanation :


check out my attached work


Hope it helps, let me know if you have any questions !


Have a nice rest of your day :)


Which expression is equivalent to (8x+6)+(10x−30)?

18(x−24)
9(2x−24)n

18x−3618

6(3x−4)

Answers

18(x-24) is the expression that’s equivalent to (8x+6)+(10x-30)

What is the answer to 25% of 50

Answers

Answer:

12.5

Step-by-step explanation:

.25 x 50= 12.5

The value of Betty's car decreased from $22,000 to $18,700. What is the percent decrease in Betty's car?

Answers

Answer:

Step-by-step explanation:

22000-18700=3300

3300/22000x100=15%

Answer:

It is a 15 percent decrease

Step-by-step explanation:

Divide 18700 by 22000, and your answer will be 0.85 but its asking for the decrease, 100-85=15, so 15% is the decrease.

what is the number for x
5= x over 6

Answers

Answer:

x=30

Step-by-step explanation:

5=x/6

30=x

What is the slope of the line that passes through the points ( − 5 , 6 ) and(−9,−6)? Write your answer in simplest form.

Answers

Answer:

-3

Step-by-step explanation:

The equation for slope is y2-y1/x2-x1 so put you numbers in and you get

-6-6/-9+5

-12/4

and then -3

Answer:

-3

Step-by-step explanation:

[tex]y=mx+b[/tex] is equation of a straight line.

Here, the slope is m.

[tex]m=\frac{y_{2}-y_{1} }{{x_{2}-x_{1}}} =\frac{-6-6}{-9-(-5)} =\frac{-12}{-4}=-3[/tex]

Andy said that any shape with more than three sides or angles has the same number of lines of symmetry. Is this true or false?​

Answers

Step-by-step explanation:

A school has 124 students who want to take a new computer class.

Each class can have a maximum of 18 students. Which inequality could

be used to determine how many classes, c, need to be scheduled so

that all students can take the class?

Answers

The correct answer is 7 classes. You divide 124 by 18 and you get 6.8 but if you round it you get 7

Which shows the terms of the series? 4 12 48 192 4 12 36 3 12 48 192 3 12 48

Answers

The value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.

What is summation?

In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.

Now we have a given term

[tex]\sum_{n=1}^{4} 3(4)^{n-1}[/tex]

By solving the above term;

[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3(4)^{1-1}+3(4)^{2-1}+3(4)^{3-1}+3(4)^{4-1}[/tex]

[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3(4)^0+3(4)^1+3(4)^2+3(4)^3[/tex]

[tex]\sum_{n=1}^{4} 3(4)^{n-1}=3 + 12 +48 + 192[/tex]

Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.

To know more about Summation follow

https://brainly.com/question/2767605

Answer:

1. 3 + 12 +48 + 192

2. 255 edge

Step-by-step explanation:

please please please help me with these four questions! giving brainly!!

Answers

Answer:

Step-by-step explanation:

The graph of a function is shown on the grid.

Answers

Answer:

y-intercept = (-2,0)

Step-by-step explanation:

the "C" is the answer

1=10^0 into logarithmic form

Answers

Answer:

[tex]0 = log_{10} 1[/tex]

Step-by-step explanation:

Base for the exponent and for the logarithm are the same!

10^0 is the exponential form where 10 is the base and 0 the exponent

[tex]log_{10} 1[/tex] is the logarithm form where 10 is the base

To solve [tex]log_{10} 1 =[/tex]   ask the question :

To what power should I raise the base 10 to obtain the number 1 ?

The answer to the power 0 therefore

[tex]log_{10} 1 = 0[/tex]

[tex]1 = 10^{0} -is-the- exponential -form\\0 = log_{10} 1 - is -the -logarithmic -form[/tex]

There is a map of the world on the wall in
Mr. Smith's classroom. The scale on the
map
lists 1 inch to 400 miles. On his map,
Mr. Smith measured 13 inches between the
United States and Europe. How many
miles is the distance from the
United States to Europe?
[? ] miles

Answers

The distance from the United States to Europe is 5200miles.

We have given that the,

There is a map of the world on the wall in Mr. Smith's classroom.

The scale on the map

lists 1 inch to 400 miles.

On his map, Mr. Smith measured 13 inches between the United States and Europe.

What is the value of one inch?

The value of one inch is 400 miles.

We have to determine the 13 inches in miles

We have given that

1inch=400miles

Therefore multiply both side by 13 so we get

13inches=13(400)miles

             =5200miles

Therefore we get, the distance from the United States to Europe is 5200miles.

To learn more about the unit conversion visit:

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#SPJ1

Answer:

5200

Step-by-step explanation:

If the scale on the map is 1 inch to 400 miles, and Mr. Smith measured 13 inches between the United States and Europe, we can find the distance in miles by multiplying the number of inches by the scale:

Distance in miles = Number of inches * Scale

Distance in miles = 13 inches * 400 miles/inch

Distance in miles = 5200 miles

Therefore, the distance from the United States to Europe, based on Mr. Smith's map, is 5200 miles.

50 points

enter the value of c when the expression 21.2x + c is equivalent to 5.3(4x - 2.6).

Answers

Answer:

c = -13.78.

Step-by-step explanation:

21.2x + c  ≡ 5.3(4x - 2.6)

21.2x + c  ≡ 21.2x - 13.78

Equating constant terms:

c = -13.78.

Answer:

13.78

Step-by-step explanation:

21.2x + c = 5.3(4x - 2.6)

open the bracket

21.2x + c = 21.2x - 13.78

collect like terms

c + 13.78 = 21.2x - 21.2x

c + 13.78 = 0

c = -13.78

The dimensions of the rectangular prism are shown on the net below. Which of the following is closest to the total surface area of the figure?
A. 101.6 cm^2
B. 203.2 cm^2
C. 285.1 cm^2
D. 178.7cm^2

Answers

The area of a 2D form is the amount of space within its perimeter. The total surface area of the rectangular prism is 203.2 units².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilaterals, multiply its length by its width.

The total surface area of a rectangular prism is given by the formula,

Total Surface Area = 2[(Length×width) + (Length×height) + (height×width)]

Given the length of the rectangular prism is 9cm, the width of a rectangular prism is 7.6 cm, and the height of the prism is 2 cm. Therefore, the total surface area can be written as,

[tex]\text{Total Surface Area} = 2[(9 \times 7.6) + (9 \times 2)+(2 \times 7.6)][/tex]

                              [tex]\rm = 2(68.4+ 18 + 2 \times 15.2)\\\\= 203.2\ cm^2[/tex]

Hence, the total surface area of the rectangular prism is 203.2 units².

Learn more about the Area:

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Use the quadratic formula to solve for x.

Answers

You didn’t put the picture of your problem

What percent of the buildings are no taller than 345 meters?

Answers

Answer:

the answer is 75%

each dot represents 25% of the data

Below 345 meters are 3 points

so, 3 * 25% = 75%

doing a practice test, what is -7/2-(5/8+1/4) ?

Answers

Answer:

4.375

Step-by-step explanation:

Answer:

-4.375

Step-by-step explanation:

7/2=3.5

1/4=0.25

5/8=0.625

5/8+1/4=0.875

-7/2-(5/8+1/4)= -4.375

What is the volume of a rectangular prism that is 1 1/2 inches by 2 1/4 inches by 4 inches? SHow your reasoning.

Answers

Answer:

27/2 in^3 or 13.5 in^3 as a mixed fraction

Step-by-step explanation:

V=whl

Simplify the following:

(1 + 1/2) (2 + 1/4)×4

Put 1 + 1/2 over the common denominator 2. 1 + 1/2 = 2/2 + 1/2:

(2/2 + 1/2) (2 + 1/4)×4

2/2 + 1/2 = (2 + 1)/2:

((2 + 1)/2) (2 + 1/4)×4

2 + 1 = 3:

3/2 (2 + 1/4)×4

Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:

(3×4)/2 ((4×2)/4 + 1/4)

4×2 = 8:

(3 (8/4 + 1/4)×4)/2

8/4 + 1/4 = (8 + 1)/4:

(3×4)/2 ((8 + 1)/4)

8 + 1 = 9:

3/2×9/4×4

3/2×9/4×4 = (3×9×4)/(2×4):

(3×9×4)/(2×4)

(3×9×4)/(2×4) = 4/4×(3×9)/2 = (3×9)/2:

(3×9)/2

3×9 = 27:

Answer: 27/2 or 13.5 as a mixed fraction

factor the polynomial

72a^5b^3c - 32a^3b^2c^2

Answers

Answer:

8a³b²c(9a²b - 4c)

Step-by-step explanation:

The GCF of 72 and 32 is 8.

72a^5b^3c - 32a^3b^2c^2 = 8a³b²c(9a²b - 4c)

hello thee please solve my question

Find the value of x and y

If
5x+10y=55
4x-12y=10​

Answers

Answer:

It is attached

Step-by-step explanation:

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