The sum of three consecutive integers is 27. Find the value of the greatest of the three.

Answers

Answer 1

Answer: The greatest of the three is 10.

Step-by-step explanation:

27/3=9 so the numbers will be around nine.

8+9+10=27

Answer 2

Answer:

Let x represent the value of the smallest of the three consecutive integers.

Then, the value of the middle integer is x+1, and the value of the greatest integer is x+2.

Since the sum of the three integers is 27, we have:

x + (x+1) + (x+2) = 27

Combining like terms, we have:

3x + 3 = 27

Subtracting 3 from both sides, we have:

3x = 24

Dividing both sides by 3, we have:

x = 8

Therefore, the value of the smallest integer is 8, the value of the middle integer is 8+1 = 9, and the value of the greatest integer is 8+2 = 10.

Thus, the value of the greatest integer is 10.

Step-by-step explanation:


Related Questions

Express x^2+12x+11 in the form (x+p)^2+q

Answers

Factored: ( x + 1 ) ( x + 11 )
Complete the square : ( x + 6 ) ^2 - 25

Does 4 5 6 make a right triangle?

Answers

The side lengths measuring 4 units , 5 units and 6 units does not make a Right Triangle as they do not satisfy the condition of the Pythagoras Theorem that the square of the longest side is equal to the sum of square of other two side .

The Pythagoras Theorem states that the square of the lonest side (hypotnuse) is equal to the sum of the square of the other two sides ,.

The side lengths of the triangle are given as 4 units , 5 units and 6 units ,

According to the condition , [tex]6^{2} = 4^{2} + 5^{2}[/tex]

On simplifying ;

we get ;

[tex]36 = 16 + 25[/tex] ;

[tex]36 \neq 41[/tex]

that means the given side do not form a right triangle .

Therefore , the side 4 units , 5 units and 6 units do not make a right triangle .

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The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes, On Tuesday, the baker makes a total of 60 muffins how many muffins did she make on tuesday

Answers

The number of blueberry muffins the baker makes on Tuesday is given by the equation A = 24 blueberry muffins

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of blueberry muffins the baker makes be A

Now , the equation will be

The total number of muffins the baker makes on Tuesday = 60 muffins

The percentage of blueberry muffins = 40 %

So ,

The number of blueberry muffins the baker makes A = total number of muffins the baker makes on Tuesday x percentage of blueberry muffins

Substituting the values in the equation , we get

The number of blueberry muffins the baker makes A = 60 x ( 40/100 )

On simplifying the equation , we get

The number of blueberry muffins the baker makes A = 60 x 0.4

The number of blueberry muffins the baker makes A = 24 blueberry muffins

Therefore , the value of A is 24

Hence , the number of muffins is 24

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Is there an AAA similarity?

Answers

The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that "If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or percentage) and consequently the two triangles are similar".

A triangle is a closed two-dimensional shape or polygon with the fewest sides in mathematics. A triangle is made up of three sides and three angles. The most significant attribute of a triangle is that the sum of its internal angles equals 180°.

Conditions for Triangle Similarity

If the corresponding angles of two triangles are identical, they are said to be comparable triangles.

If their respective sides have the same proportion/ratio.

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A package of salt waits 25 KG and a packet of sugar weighs 35 KG find the ratio of weight of salt to the weight of sugar

Answers

[tex] \longmapsto \: =25/35 [/tex]

[tex] \longmapsto \: =5/7[/tex]

[tex] \longmapsto \: =5:7[/tex]

The Palace Theater has 25 rows. There are 26 seats in the first row with 2
additional seats on each consecutive row. How many seats are in the
theater? *

Answers

Answer:

The theater has 698 seats.

Step-by-step explanation:

So, the first row has 26 seats, and that's one out of 25 rows.

Let's find the amount in the following rows.

The following rows have an additional 2 seats, so:

28 × 24 = 672

Now, we add the other 26 seats from the first row:

672 + 26 = 698

And there's your answer.

pls help ;-;
A spinner has 8 equal spaces numbered 1 through 8.

After 48 spins, about how many times would you expect it to land on
1, 2, or 3?

Answers

Answer:

The answer to this is 14%

Step-by-step explanation:

sorry if im wrong

(hope this helps can i plz have brainlist :D hehe)

Rent-A-Car charges $50 to rent a car plus $0.25 per mile. Save-To-Rent charges $25 to rent a car plus $0.41 per
After how many miles will the cost be the same to rent a car?
miles

Answers

y = 0.25x + 50 and y = 0.3x + 40 will be the equation to find the cost to rent a car.

Define cost function.

A mathematical formula known as a cost function is used to visualize how manufacturing costs will vary depending on the output level. In other words, given a specified quantity produced, it calculates the entire cost of production.

Define cost.

Costs are the dollar amount spent on materials, labor, services, goods, equipment, and other items for use by a company or other accounting organization.

y = 0.25x + 50

y = 0.3x + 40

The equations will be written as y = mx + b, or slope-intercept form. You must determine what you have in order to determine what belongs where.

They receive $50 per day plus $0.25 per mile from Rent-A-Wreck. This indicates that the $0.25 per mile is the number that changes daily. Thus, y = 0.25x + 50 will be the equation.

They receive $40 per day with $0.30 per mile from Drive-A-Lemon. This indicates that the $0.30 per mile is the number that changes daily. y = 0.3x + 40 will be the formula.

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which of the following require that you have parallel sides

Answers

Alternate Interior Angles

The requirement of the parallel sides is Alternate interior angles.

What is the alternate interior angle?

The angle formed by the line intersecting two parallel lines is called the alternate interior angle. This two angles are equal in magnitude.

The alternate interior angles require two parallel lines to be formed. Therefore the requirement of the parallel sides is Alternate interior angles.

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Is this right?

If not please help me understand or tell me the answer.

Answers

Answers:Volume = 90 cubic inchesSurface area = 126 square inchesMaterial Cost = Not sure (see the explanation below)

=========================================

Explanation:

L = 6 inches = length

W = 3 inches = width

H = 5 inches = height

----------------------

V = volume

V = L*W*H

V = 6*3*5

V = 90 cubic inches is the volume

----------------------

SA = Surface Area

SA = 2*(LW + LH + WH)

SA = 2*(6*3 + 6*5 + 3*5)

SA = 126 square inches is the surface area

-----------------------

Unfortunately there isn't enough information to know the material cost. Please post the full problem, and any other relevant information connected to this question.

simplify 3a - 2(8 +4a)

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

Let's simplify step-by-step.

3a − 2 ( 8 + 4a )

Distribute:

= 3a + ( −2 ) ( 8 ) + ( −2 ) ( 4a )

= 3a + −16 + −8a

Combine Like Terms:

= 3a + −16 + −8a

= ( 3a + −8a ) + ( −16 )

Answer:

= −5a − 16

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

How is a right triangle used to find the sine and cosine of an acute angle is there a unique right triangle that must be used?

Answers

We find the sine and cosine of an acute angle by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.

What is the tangent of the angle?

The ratio of the right-angle triangle's base or perpendicular is known as the tangent of the angle.

The ratio of two of the right-angled triangle's three sides is used to define the sine, cosine, and tangent of an acute angle.

Here,

We have to find out how is a right triangle used to find the sine and cosine of an acute angle is there a unique right triangle that must be used.

We concluded that a right triangle can be used to determine the tangent of any acute angle, by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.

Hence, we find the sine and cosine of an acute angle by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.

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Which of the following is the graph of f(x) = x2 + 3x − 4?

Answers

Answer:

2nd graph

Step-by-step explanation:

Given

f(x) = x² + 3x - 4

To find the zeros let f(x) = 0 , that is

x² + 3x - 4 = 0 ← in standard form

(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

The only graph with zeros at x = - 4 and x = 1 is the 2nd graph

Second graph is a required answer

Evaluate the expression below using a=12 and b=11"
8a + 6b

Answers

Answer:

162

Step-by-step explanation:

8x 12 + 6x 11 = 162

On a coordinate plane, a line is drawn from point L to point M. Point L is at (negative 4, 8) and point M is at (4, 8).
The rule DO,0.25 (x, y) → (0.25x, 0.25y) is applied to the segment LM to make an image of segment L'M', not shown.

The coordinates of L' in the image are
.

The coordinates of M' in the image are
.

The length, L'M', is
.

The slope of the original segment and dilated segment are
.

Answers

Answer:

L' = (-1,2)

M' = (1,2)

L'M' = 2

The slope of the original segment and dilated segment are both zero

Step-by-step explanation: just did it on edge!

5. 4 friends have a $20 coupon to help pay for their dinner. The total bill
including tax and tip comes to $84. Write AND solve an equation to
determine how much each friend will have to pay for the bill.

Answers

That’s easy what you have to do is you have to be the smartest person to do this

PLEASE HELP ASAP!! will mark!find the zeros of the function. no links

Answers

the answer is x=-1 or x= 5

x could be -1 or 5 hope fhat helps

In which quadrant is the coordinate pair (-3, -4) located?

Answers

Answer:

3rd

Step-by-step explanation:

because both points are negative

help me please and thank you to the ones who help im really happy!

Answers

Answer:

x = 20

Step-by-step explanation:

180 - 135 = 45

115 + 45 + x = 180

160 + x = 180

180 - 160 = x

x = 20

Have a nice day!

Help pls this test is timed and I have been doing it sine 8:00 Florida time!!!!!!!!! It’s the m and q question thanks

Answers

Answer: A.

Step-by-step explanation: Because a solid can go from a liquid to a gas and if you think of ice, Ice starts as a solid then when it melts it turns into a liquid the when the liquid evaporates it turns to a gas. Hope this helped

What is the range of the function on the graph

Answers

Answer:

All real numbers greater than or equal 2.

Step-by-step explanation:

There is a closed circle on the number 2,which means that it is included in the range. The line is increasing, meaning that all real numbers greater than or equal to 2 is the range.

Forty-five students and parents attended a career fair on Tuesday. The number of students that attended was 5 more than twice the number
of parents in attendance. Write a system of equation to model the situation.

Answers

Answer:

p + s = 45

s = 2p + 5

Step-by-step explanation:

Let s = number of students.

Let p = number of parents.

p + s = 45

s = 2p + 5

Help me it’s math, will Mark brainly

Answers

Answer:

B

Step-by-step explanation:

Help please I don't really understand

Answers

Answer:i need to know what youre trying to find first

Step-by-step explanation:

a wall is measured as 5m to the nearest metre find the actual length and the percentage error

Answers

Actual length is 5.5m and percentage error is 20%.We can find by using percentage error formula.

What do you mean by percentage error?

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words the percent error is the relative error multiplied by 100.

How do we calculate percentage error?

Subtract the actual value from the estimated value.And then divide the results with the real value. Multiply the results by 100 to find the total percentage.The formula represent it as a percentage of the exact value.Percent error = |Approximate value – Exact Value|/Exact value * 100.

Now we find

wall is measured 5m to the nearest so

approximate value= 4.5

actual value     =5.5

putting value in the formula

Percentage error  = 5.5- 4.5/5 *100

                              = 20%

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Please solve it's worth 12 points

Answers

Answer:

300 feet squared i think

Step-by-step explanation:

The amount of caffeine in the body of a healthy adult after drinking espresso decreases exponentially, with a half-life of approximately 666 hours. That is, every 666 hours, the amount of caffeine in the body decreases by 50\PP, percent. Charlotte wants to go to sleep at 11\,\text{pm}11pm11, start text, p, m, end text and does not want more than 202020 milligrams (\text{mg})(mg)(, start text, m, g, end text, )of caffeine in her system at that time. What is the latest time Charlotte can drink a 222-ounce shot of espresso that contains 80\,\text{mg}80mg80, start text, m, g, end text of caffeine

Answers

The half-life of caffeine in the body is approximately 5-6 hours, not 666 hours. Given this information, we can calculate the latest time Charlotte can drink a 222-ounce shot of espresso that contains 80mg of caffeine and still have no more than 2020mg of caffeine in her system at 11pm.

What does math's % mean?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

We know that after 5-6 hours, the amount of caffeine in the body decreases by 50%. Therefore, in 11 hours, the amount of caffeine in the body would decrease by approximately 87.5%.

If we let x be the number of hours before 11pm that Charlotte can drink the espresso, then the amount of caffeine in her body at 11pm would be:

80mg * (1 - (87.5% ^ (x/5-6))) = 2020mg

Solving for x, we find that the latest time Charlotte can drink the espresso is approximately 6:30pm.

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Pls help. Find the surface area of the solid. Round to the nearest tenth if necessary

Answers

Answer:

850 m²

Step-by-step explanation:

There are 3 different pairs of rectangles—the side rectangles, the rectangles on the top and bottom, and the other side rectangles.

10x11=110

110x2=220

15x10=150

150x2=300

15x11=165

165x2=330

330+300+220=850 m².

solve please im gonna fail

Answers

Answer:

The two little blue boxes are going

Step-by-step explanation:

Lets start with the 0s.

Two zeros is 0. so its

_ _ _ _ 0.

Now we add 2 and 0 which is 2.

_ _ _ 2 0

now we add 6 and 4, which is 10. We have to put the 1 above the 7 and 5 and we are going to put 0 down below

_ _ 0 2 0

now we are going to add 7 +5, but dont forget the 1! Its going to be 13. Put the 3 down below and put the 1 above the 2!

_ 3 0 2 0

Now its 2 + 1 which is 3

your answer is

33020

Please help quickly

Nova wants to measure the height of a tree. She asks her brother Caden to stand so that the
tip of his shadow coincides with the tip of the tree’s shadow. She stands at the tip of Caden’s
shadow. Caden, who is 1.2 meters tall, is 4.2 meters from Nova and 6.5 meters from the tree.
The tree is ___ meters high. Round your answer to the nearest tenth and write it as a decimal.

Answers

Answer:

The tree is 9.1 meters high.

Step-by-step explanation:

We can use the Pythagorean Theorem to solve this problem. Let T be the height of the tree. We can set up the following equation:

4.2^2 + T^2 = 6.5^2

Solving for T, we get:

T = sqrt(6.5^2 - 4.2^2)

T = sqrt(41.25 - 17.64)

T = sqrt(23.61)

T = 4.878

Since the height of the tree is measured to the nearest tenth, we can round this value to 9.1 meters.

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