The sum of two consecutive even integers is at most 400. Find the pair of integers with the greatest sum

Answers

Answer 1

Hope this helps.

The largest pair of consecutive integers are 198 and 200.

Explanation: hope it helps

If the sum of two equal even numbers is 400, the numbers will be 200+200.
Therefore the largest possible consecutive even numbers which have a sum of 400 or less are 198 and 200 which have a sum of 398.

Any pair of consecutive numbers less than these will have a sum of less than 400.

Related Questions

Solve by factoring. 5. X2 +11x + 10 = 0 6. X2 + 4x -32 = 0 7. 2x2 -21x -36 = 0 8. 3x2 + x -14 = 0 9. x2 – 4x =21 10. 2x2 -11x =-12

Answers

Hey there :)

5. x² + 11x + 10 = 0
Sum = 11
Product = 10
Factors = 1 and 10
( x + 1 )( x + 10 )
x = 1 , x = -10

6. x² + 4x - 32 = 0
Sum = 4
Product = -32
Factors = - 4 and 8
( x - 4 )( x + 8 )
x = 4 , x = -8

7. 2x² - 21x - 36 = 0
( 2x + 3 )( x - 12 )
x = [tex]- \frac{3}{2} [/tex] , x = 12

8. 3x² + x -14
( x - 2 )( 3x + 7 )
x = 2 , [tex]- \frac{7}{3} [/tex]

9. x² - 4x = 21
x² - 4x - 21 = 0
Sum = - 4
Product = - 21
Factors = - 7 and 3
( x + 3 )( x - 7 )
x = - 3 , x = 7

10. 2x² - 11x = -12
2x² - 11x + 12 = 0
( x - 4 )( 2x - 3)
x = 4 , x = [tex] \frac{3}{2} [/tex]

1. Through music, literature, and painting, the romantic artists attempted to
(1 point)make people fall in love.

express their love for women.
stir the emotions.
get people to reject modern innovations.

2. What do the writers Walter Scott, Mary Shelley, Edgar Allen Poe, and William Wordsworth have in common?
(1 point)They were all men.
They were all French.

They were all English.

They were all romantic writers.

3. Romantic painters aimed to
(1 point)mirror the artist’s imagination.

re-create nature.
meet the highest standards of the École des Beaux-Arts.

f,

Answers

Romantic artists attempted to stir the emotions. The writers listed are all romantic writers. Romantic painters aimed to mirror the artist's imagination. In general, this was an artistic period driven by a focus on the feelings the artist and viewer experienced.

A delivery person is scheduled to pick up 9 crates of patio pavers. Each crate weighs 14 ton. How much weight will the delivery person need to plan for?

Answers

9×14
which equals
126
Hope I helped :)

if a crate weights 14 tons, and we 9 crates
9*14=126 tons

Find the area of this trapezoid. All length measures are in centimeters.

Answers

we know that
The area of a trapezoid is given by the formula
Area=h*(b1+b2)/2
where
b1, b2 are the lengths of each base
h is the altitude (height)
Remember that the bases are the two parallel sides of the trapezoid. The altitude (or height) of a trapezoid is the perpendicular distance between the two bases

therefore
[area of trapezoid]=(11+5)*4/2--------> 64/2------> 32 cm²

the answer is 32 cm²

Which rotation about its center will carry a regular decagon onto itself? 1) 54° 2) 162° 3) 198° 4) 252°?

Answers

The answer to this question is 252°

Each square on the grid represents 1 yd². What is the approximate area of this pond? A. about 10 yd² B. about 15 yd² C. about 20 yd² D. about 25 yd².

Answers

I think that C is the correct answer

Which parent function has a constant slope?

A. linear
B. square root
C. quadratic
D. exponential

Answers

The slope of a line is the tangent of the angle that forms the line with the positive direction of the abscissa axis.
We note that for linear functions, this value is always the same.
The standard equation of the line is:
y = mx + b
Where,
m = slope of the line.
This value is always the same regardless of the domain of the function.
Answer:
A parent function that has a constant slope is:
A. linear

Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and diameter. Name a minor arc and a major arc.

Answers

The purple line is tangent. Tangent line intersects a circle in only 1 point
The yellow dot is the point of tangency. It is the point where tangent line touches the circle
The light blue line is secant. Secant line intersects a circle in 2 points
The red line is the radius. Radius is the distance from center to the outer rim of the circle.
The green line is the diameter. It is the line passing through the center of a circle. It measures twice the radius
The gray line is the chord. Chord is the line whose endpoints lie on the circle.
Arc AB is a minor arc
Arc ABCD is a major arc

1. 16y + 0 = 16y
Associate Property of Addition
Zero Property of Multiplication
Commutative Property of Addition
Identity Property of Addition
2. d • r = r • d
Commutative Property of Multiplication
Identity Property of Multiplication
Zero Property of Multiplication
Commutative Property of Addition
3. 27a • 0 = 0
Associative Property of Multiplication
Commutative Property of Multiplication
Zero Property of Multiplication
Identity Property of Multiplication
4. 16x + 5y = 5y + 16x
Commutative Property of Addition
Zero Property of Addition
Ident

Answers

1) Identity Property of addition
2) Commutative Property of Multiplication
3) Zero property of multiplication
4) Commutative property of addition
Hope this helps!

Select the situation in which one quantity is changing at a constant rate in relation to the other quantity.
Barry spends $9 on lunch daily.
The market value of a new computer decreases by 6% every year.
Nathan's investments increase in value by 13.5% each month.
The number of ants in a colony doubles every 8 weeks.

Answers

The number of ants in a colony doubles every 8 weeks.

Constant rate of change means that when the value of x increases, the y remains constant. So there is no change in the y value. In this case, the x value is the "week" and the y value is the "amount of ants".

Expressed powers are those that aref(x) = 5x + 3; g(x) = 6x - 5 Find f/g. (f/g)(x) = Quantity six x minus five divided by five x plus three. domain {x|x ≠ Five over six. } (f/g)(x) = Quantity five x plus three divided by six x minus five. domain {x|x ≠ Three over five } (f/g)(x) = Quantity five x plus three divided by six x minus five.domain {x|x ≠ Five over six. } (f/g)(x) = Quantity six x minus five divided by five x plus three. domain {x|x ≠ - Three over five. }

Answers

Answer: (f/g)(x) = Quantity five x plus three divided by six x minus five.domain {x|x ≠ Five over six. }

Explanation:

1) (f/g)(x) = f(x) / g(x)

2)

f(x) 5x + 3
-------- = ------------
g(x) 6x - 5

3) Since the division by 0 is not defined, the domain is restricted to 6x - 5 ≠ 0.

Therefore you must solve 6x - 5 = 0 to exclude the value of x for which the denominator becomes 0:

6 x - 5 = 0 => 6x = 5 => x = 5 / 6.

So, the domain is all x | x ≠ 5/6.

Answer:

(f/g)(x) = Quantity five x plus three divided by six x minus five.domain {x|x ≠ Five over six. }

Step-by-step explanation:

Given functions,

[tex]f(x)=5x+3[/tex]

[tex]g(x) =6x-5[/tex]

[tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]

[tex]=\frac{5x+3}{6x-5}[/tex] ( By substitution )

Let [tex]h(x)=\frac{5x+3}{6x-5}[/tex]

Which is the rational function,

Since, a rational function is defined for all real number except those for which denominator = 0,

[tex]6x-5=0[/tex]

[tex]6x=5[/tex]

[tex]x=\frac{5}{6}[/tex]

Thus, h(x) is defined on all real numbers except 5/6,

Hence, domain of [tex]\frac{f}{g}(x)[/tex] is {x| x ≠ [tex]\frac{5}{6}[/tex] }

Which triangle is a regular polygon? A) All triangles B) An equiangular triangle C) 45°- 45° - 90° triangle D) 30°- 60° - 90° triangle

Answers

I need he picture of it to get know the angle

Answer:

its B

Step-by-step explanation:

In an isosceles triangle, the altitude and median are __________. I know they are the same but the same isn't one of the choices. These are the choices:
A. segments opposite one another
B. perpendicular segments
C. the same segment
D. the legs of the triangle,

Answers

C. The same segment. In an isosceles triangle, the altitude and the median are the same segments because they correspond to the base that is contained in the mediatrix of the base. This applies to equilateral and isosceles triangles and the demonstration is by the congruence of triangles.

Three fourths of the students in class said they like word problems . If fewer than 30 students said they like word problems , how many students are there ?

Answers

x < 40.

Since there are less than 30 students that say they like that and that represents 3/4, you can start by trying to solve the equation.

3/4x < 30

Where x is the total number of students in the class.

simplify the square root of 27x^12/300x^8

Answers

The first thing we are going to do is rewrite the expression correctly.
We have:
root (27x ^ 12 / 300x ^ 8)
Rewriting:
root ((27/300) * (x ^ 12 / x ^ 8))
root ((9/100) * (x ^ (12-8)))
root ((9/100) * (x ^ (4)))
root ((9/100) * (x ^ (4)))
3 * x ^ 2 * root ((1/100)
(3 * x ^ 2) / 10
(3/10) * (x ^ 2)
Answer:
(3/10) * (x ^ 2)

Answer:

3/10 x^2

Step-by-step explanation:

Hi could u plz help me anyone please

Answers

Hello,

To find this solution, you have to write an inequality. We want the new plan to be less than the old plan of $175.

So our inequality would be:
94 + 4.5x < 175
Solving it gives:
4.5x < 81
x < 18

So the number of devices must be less than 18. Draw an open circle at 18 with a ray going to the left to show those numbers.

Good luck,
MrEQ

From a barrel of colored marbles, you randomly select 4 blue, 5 yellow, 6 red, 2 green, and 5 purple marbles. Find the experimental probability of randomly selecting a marble that is not blue. A. The term shows 6 over 13. B. one-half C. start fraction 9 over 11 end fraction D. three-eighths

Answers

Hey,
It would be A
i just learned this 4 weeks ago in math class.

The required, experimental probability of randomly selecting a marble that is not blue is 9/11. Option C is correct.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

The total number of marbles in the barrel is:

4 blue + 5 yellow + 6 red + 2 green + 5 purple = 22 marbles

The number of marbles that are not blue is:

5 yellow + 6 red + 2 green + 5 purple = 18 marbles

Therefore, the experimental probability of randomly selecting a marble that is not blue is:

18 marbles / 22 marbles = 9/11

Thus, the answer is option C: 9 / 11.

Learn more about probability here:

brainly.com/question/14290572

#SPJ3

Joe has some pocket money. He spends 90% of it. He has 50p left. How much pocket money did he have?

Answers

So he spent 90% of a number and had 50 left
£5. This is because 50p is 10%. To get 100% you therefore need to times 50p by 10, thus getting £5
Hope this helps!

laura budgets $54 each month for annual expenses. she nets $1820 semimonthly. what percent of her net monthly income does she budget for annual expenses?

1%

3%

6%

8%

Answers

Answer: The correct answer is 1%.

If she is getting $1820 semimonthly. That means that she is getting $3640 per month. 1820 x 2 = 3640

Now, we just need to find the percent of that which goes for the annual expenses.

Divide 54 by 3640 and multiply by it 100 to get a percent of 1.4% which can be rounded to 1%.

Answer:

Explanation:

Since the income known in the problem is for semi-monthly (meaning every half of the month), we should compute for the monthly income because we what know is the amount of money Laura allots on a monthly basis for her annual expenses.

Since semi-monthly income is received twice per month, the monthly income of Laura is two times her semi-monthly income (= $1820). That is,

monthly income
= 2 × semi-monthly income
= 2 × $1820
monthly income = $3,640

Because $54 is budgeted each month for annual expenses, the percentage of the monthly income that is allocated for annual expenses is computed as

percentage of the monthly income
= ((monthly income allocated for annual expenses) ÷ (monthly income)) × 100%
= ($54 ÷ $3,640) × 100%
≈ 0.0148351648 × 100%
percentage of the monthly income ≈ 1%

jenny said i'm thinking of fraction that is equivalent to 2/6 the numerator is 8 less than the denominator what fraction is jenney thinking of

Answers

The fraction 2/6 has a numerator that is 4 less than the denominator. If the numbers in the fraction are doubled, then their difference will be 8.

Jenny is apparently thinking of 4/12.

Mae bought 15 football cards and 18 baseball cards. She seperated them into 3 equal groups.How many sports cards are in each group?

Answers

Total number of sports cards = 15 + 18 = 33

So if they are divided into 3 groups the number in each group = 33/3 = 11 cards Answer.

Find the sum of the measures of the interior angles of a convex 14-gon.

Answers

sum of all interior angles = (n-2)x180, n being the number of sides.

sum of all interior angles = (n-2)x180
sum of all interior angles = (14-2)x180
sum of all interior angles = 12 x180
sum of all interior angles = 2160°

Final answer:

The sum of the interior angles of a convex 14-gon is calculated using the formula (n - 2) × 180°, which equals 2160°.

Explanation:

The sum of the interior angles of any polygon can be found using the formula (n - 2) × 180°, where n is the number of sides. For a convex 14-gon, we plug in 14 for n in the formula to find the sum:

sum of all interior angles = (n-2)x180, n being the number of sides.

Sum = (14 - 2) × 180°

Sum = 12 × 180°

Sum = 2160°

This calculation shows that the sum of the interior angles of a convex 14-gon is 2160 degrees.

Please Help!!!

(x-3)^2/64 + (y+5)^2/100 = 1

a. Identify the coordinates of the center of the ellipse.
b. Find the length of the major and minor axes.
c. Find the coordinates of the foci.
d. Graph the ellipse. Label the center and foci.,

Answers

Your ellipse is given in the form:
[tex]\frac{(x - xc)^{2} }{ a^{2} } + \frac{(y - yc)^{2} }{ b^{2} } = 1[/tex]

Indeed, you have:

[tex]\frac{(x-3)^{2} }{64} + \frac{(y+5)^{2} }{100} = 1[/tex]

Therefore you can easily find:

a) the coordinates of the center:
in your case xc = 3 and yc = -5
hence C(3 , -5)

b) lenght of the major and minor axis:
in your case a² < b²:
a² = 64 ⇒ a = 8 (ATTENTION! This is the semi-minor axis)
b² = 100 ⇒ b = 10 (again, this is the semi-major axis)
Therefore,
minor axis 2a = 16 and major axis 2b = 20

c) coordinates of the foci:
Since you have a² < b², foci have the generic coordinates F₁₂ (xc , yc+/-c)
where c = √(b² - a²)

Let's compute c = √(100 - 64) = √36 = 6
yf₁ = -5 - 6 = -11
yf₂ = -5 + 6 = -1
Therefore:
F₁ (3, -11) and F₂(3, +1)

d) the graph is in the picture attached

Mark went to the store and spent a total of $18.90. What is the cost of 5 items is if one item cost $2.95?

Answers

18.90 - 2.95= 15.95 ÷4= 3.99

item #1 was 2.95 the rest of the items were 3.99

Describe the following sequence as arithmetic, geometric or neither.

2, 4, 6, 12, 14. . . .

I think it's arithmetic because it's +2, but then there's 6 to 12 and that's +6, but then it's back to +2 when it goes to 12 to 14.,

Answers

It can't be arithmetic. It can't be geometric, so it leads to it is neither.

the sum of 4 times a number and -5 added to 9 times number

Answers

4 * (n*9) -5
Use PEMDAS

Help me please y’all

Answers

To solve for the inverse of a function, you have to interchange the variables x and y and solve for the value of y in terms of x:

F(x) = 5x/3 + 5

y = 5x/3 + 5

Interchange x and y:

x = 5y/3 + 5

Solve for the value of y in terms of x:

x – 5 = 5y/3

5y = 3 (x – 5)

y = 3 (x -5) / 5

f^-1 (x) = 3 (x -5) / 5

Use the answer from the previous task to determine P(z < −2.1).
0.01790.58320.98211

Answers

Answer:

A on Edg :)

Step-by-step explanation:

Using the normal distribution, it is found that P(z < −2.1) = 0.0179.

Normal Probability Distribution

The z-score of a measure X in a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure X is from the mean, if it is positive above the mean, if it is negative below. After finding the z-score, the z-score table gives the p-value of this z-score, which is the percentile of the measure X.

From the z-table, we have that Z = -2.1 has a p-value of 0.0179, hence P(z < −2.1) = 0.0179.

More can be learned about the normal distribution at https://brainly.com/question/24663213

A student's home is 3.25 miles from the school. A soda shop is located 900 feet farther down the road from the school. What is the total distance from the student's home to the soda shop?

Answers

3.42mi miles because if you convert 3.25 miles into feet it gives you 17160 ft so if you add 900 to that then you get 18060 after that you can convert it back into miles and it gives you 3.42mi or 18060ft

Answer:

18060

Step-by-step explanation:

Marge orders the following items and would like to leave a 20 percent tip based on her bill. There is no tax on her meal. What is the total cost of her dinner including gratuity? Item Amount Soup $3.75 Shrimp scampi $15.00 Iced tea $2.60 Dessert $4.25.

Answers

3.75+15+2.6+4.25=$25.60 *1.2 = $30.72

Answer:

The total cost of her dinner including tip would be $30.72

Step-by-step explanation:

Marge orders the following items on her meal.

Soup = $3.75

Shrimp scampi = $15.00

Iced tea = $2.60

Dessert = $4.25

The total cost of her dinner including gratuity is

3.75 + 15.00 + 2.60 + 4.25 = $25.60

She would like to leave a 20% tip based on her bill

Therefore, 20% of $25.60

= 0.20 × 25.60 = $5.12

Now add this tip amount to the bill amount.

$25.60 + $5.12 = $30.72

The total cost of her dinner including tip would be $30.72

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