Find three consecutive even integers such that the sum of the first and the third is 128.​

Answers

Answer 1

9514 1404 393

Answer:

  62, 64, 66

Step-by-step explanation:

I like to work "consecutive integer" problems by considering the average, or middle value. If we call that x, then the problem statement tells us ...

  (x -2) +(x +2) = 128

  2x = 128 . . . . . collect terms

  x = 64 . . . . . . . divide by 2

The middle integer is 64, so the three even integers are 62, 64, 66.


Related Questions

answer please? I need it

Answers

Answer: -110/2421

Hope this helps

Emily works at a pretzel shop and uses 3/4 pounds of flour to make 9 pretzels. Each pretzel was made with the same amount of flour. How much flour was used in each pretzel (expressed as a fraction)?

Answers

1/12 because 3/4 divided by 9 is 1/12.

-5,-75,3-2,4,3/2 write in ascending order​

Answers

Answer:

5,-75,3-2,4,3/2

Step-by-step explanation:

5,-75,3-2,4,3/2

Mary has $267 in her checking account . She writes checks for $33,$65 and 112. What is the balance in her account now ?

Answers

Answer:

57

Step-by-step explanation:

$267 - $33 - $65 - $112 = $57

Brenda has two pieces of string, one 28 feet long and the other 42 feet long. For an art project, she wants to cut them up to produce many pieces of string that are all of the same length, with no string left over. What is the greatest length, in feet, that she can make them?

Answers

Answer:

7 feet

Step-by-step explanation:

Length of one piece of string = 28 feet.

Length of the second string = 42 feet.

Since the number of required pieces was not given but many are required, the greatest length can be determined by;

If the maximum length is 7 feet, then:

the number of pieces from 28 feet long string = [tex]\frac{28}{7}[/tex]

                                                      = 4

Also,

the number of pieces from the 42 feet lone string = [tex]\frac{42}{7}[/tex]

                                                    = 6

Total number of 7 feet strings that she can make = 4 + 6

                                                    = 10

Since many pieces are required, the greatest length she can make is 7 feet. If she increase the length to 14 feet, the number of pieces would be 5 which limit the required number.

URGENT HELP!!
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:

Answers

Answer:

NK = 7, MK = 2, MF = 9.9, Area = 42

Step-by-step explanation:

Refer to attached

To find:

NK ,  MK,  MF, Area of trapezoid

Solution

The trapezoid is isosceles and NK is its height, therefore

MD - NF = 2MKMK = (9 -5)/2 = 2

Since ∠KDN = 45°, the triangle NKD is isosceles and so

NK = KD = MD - MK = 9 - 2 = 7

MF  = ND as trapezoid is isosceles and therefore diagonals are equal

ND = NK√2 = 7√2 = 9.9 So MF = 9.9

Area of trapezoid

A = 1/2(b1 + b2)h A = 1/2(9+5)(7) = 6*7 = 42

Write an equation of the line in standard form.
The line has the same slope as 3x-y=5 and the same y-intercept as the graph of 2y- 15x = 8.
The equation in standard form is

Answers

Answer:

Ok to make this easier for us we should switch these equations into y=mx+b so that it's easier for us to identify the slope and y-intercept:

to switch into y=mx+b form do this:

3x-y=5

-y=5-3x

y=-5+3x

y=3x+(-5)

2y-15x=8

2y=8+15x

y=4+7 1/2x

y=7 1/2x+4

THe slope of any line in y=mx+b form is m. Therefore in this equation:

y=3x+(-5)     3 is the slope

The y intercept of any line is the +b:

y=7 1/2x+4 -therefore 4 in this equation is our y intercept.

Now we can construct our equation in y=mx+b then into standard form (Ax+By=C)

since 3 is our slope and 4 is our y intercept the equatuon is :

y=3x+4

NOw all we need to do is move this into standard form:

y=3x+4

-3x+y=4

-3x+y=4 is your final answer

-hope this helped

Step-by-step explanation:

Find the simple interest paid to the nearest cent for each principal, interest
Rate, and time.
$1,450, 2.5%, 2 years
and
$390, 3%, 5 years

Answers

Answer:

S I = PRT/100

=1450×2.5×2/100

=1455/100

=14.55

S I =PRT/100

390×3×5/100

5850/100

58.5

Write and evaluate the expression. Then, complete the statements.

A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.

Yuna ran three times as many kilometers.

Evaluate when k = 12.2.

Answers

Answer:

Write and evaluate the expression. Then, complete the statements.

A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.

Yuna ran three times as many kilometers.

Evaluate when k = 12.2.

First, write the expression as

✔ 3k

.

Second,

✔ substitute

12.2 in for the variable, k.

Third,

✔ simplify

by

✔ multiplying

3 and 12.2.

The answer is

✔ 36.6

Since Yuna ran three times as many kilometers so here expression should be 3k and the answer is 36.6

The writing and evaluating the expression:

Expressions are considered to be mathematical statements that have at least of two terms comprised of numbers or variables that should be linked. It could be of addition, subtraction, multiplication, or division.

First, write the expression as  3k

Second, substitute 12.2 in for the variable, k.

Third,  simplify by ✔ multiplying 3 and 12.2.

And, finally, The answer is 36.6

Learn more about expression here: https://brainly.com/question/11656147

Understanding functions: Pls help!!! Braliest and 15 points!! Help ASAP if you can!!

Answers

D because there’s constant repetition!!

the ratio of boys to girls in the sixth grade is 2:3

If there are 24 boys how many girls are there

Answers

I think it is eight.

there would be 36 girls!

Select all of the values that are solutions to the following inequality. *
3(2a-1)> 10a - 11

Answers

Queston:

Select all of the values that are solutions to the following inequality.

3(2a-1)> 10a - 11

Answer:

The answer is 2

Pls help I will brainlest u

Find the sum without using a number line.

Answers

Answer:

- 1 1/4

Step-by-step explanation:

-9 1/4 + 8 = -1 1/4

Which expression this estimates

6 3/4 divided by 1 2/3?
A. 7 divided by 2
B.6 divided by 1
C. 8 divided by 3
D. 3 divided by 2

Answers

Answer:

I feel like the answer is a because if you put the fractions in decimal form 6 3/4 is 6.75 which is closer to 7 and 1 2/3 is 1.666... which is closer to 2 so...yea a

Thirty more than one half of the students at at canyon middle school are in band.Five less than three fifths of the students are in athletics.If the number of students who are in band is equal to the number of students in athletics how many students are enrolled in canyon middle school

Answers

Answer:

Students at canyon middle school = 350

Step-by-step explanation:

Students at canyon middle school = x

Band = 1/2x + 30

Athletics = 3/5x - 5

athletics.If the number of students who are in band is equal to the number of students in athletics

1/2x + 30 = 3/5x - 5

1/2x - 3/5x = -5 - 30

5x-6x/10 = -35

-x/10 = -35

= -x(1/10)= -35

x = -35 ÷ -1/10

= -35 × -10/1

= 350

x = 350

Students at canyon middle school = 350

30 Willow trees are distributed over a geographic area consisting of 50 acres. what is the population density in terms of willow tree per acre?​

Answers

Answer:

There is 1 tree per 1.6 acre.

Step-by-step explanation:

Divide the number of trees from the number of acres. This will tell you how many acres are between each tree.

Answer:

0.6 acres.

Step-by-step explanation:

You divide the total population of the willow tree (30) by the areas they occupy (50 acres). Therefore, 30/50=0.6 population per acre.

Y’all please helppp it says (ax + by)/c = d solve for x

Answers

I submitted the answer for x in the image below

Answer:

[tex]x=\frac{dc-by}{a}[/tex]

Step-by-step explanation:

[tex]\frac{ax+by}{c}=d\\\\ax+by=dc\\\\ax=dc-by\\\\x=\frac{dc-by}{a}[/tex]

Giving brainliest to whoever answers this:)
The slope of a roof is called its pitch. The Parthenon, an ancient Greek temple, has a roof with a rise of 3.6 meters and a run of 12 meters. What is the pitch of the roof?

Answers

Answer:

3.6/12, or 0.3

Step-by-step explanation:

To determine a slope on a graph, it's always the "rise over run", or "fall over run" if it's a negative slope.

In this case, the rise of 3.6 meters would represent the top number, and 12 meters would be 12 meters, so it's 3.6/12.

Answer: Well the answer would be the second one cause it more the paragraph is more telling us about it rather than pursuing us they are giving examples and stories not persuading the reader

Explanation

The answer would be: This paragraph has been written to entertain students with fascinating stories from Greek history. The author gives many examples of the unforgettable Greek culture, which helps readers form a positive opinion about Greece. so the second one. P.S Hope this helps.

Suzannah made 7 bows. How many feet of ribbon did she use?

Answers

Answer:

420

Step-by-step explanation:

PLSSSSS HELPP MEEEEEEEEE PLS RESPOND TO ME

Answers

Answer:

HOLAAAAAO

Step-by-step explanation:

simplify the exoression (x^3-5x^2+7x-12)÷(x-4)

Answers

Answer:

x^2-x+3

Step-by-step explanation:

You factor it out which would then make it

(x-4)(x^2-x+3)/x-4

Then you cancel out the common factor, x-4

which leaves you with x^2-x+3

evaluate the function
pls help!!

Answers

Answer:

h ( -6 ) = -13228

Step-by-step explanation:

h ( x ) = -10x^(4) - 9x^(2) - 8x + 8

evaluate when, x = -6

Substitute in -6, for x,

-10(-6)^(4) - 9(-6)^(2) - 8(-6) + 8

= -10(1296) -9(36) -8(-6) + 8

= -12960 - 324 + 48 + 8

= -13284 + 56

= - 13228

Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture? StartFraction 1 Over 5 EndFraction cup. Cup StartFraction 1 Over 4 EndFraction cup. Cup StartFraction 3 Over 4 EndFraction cup. Cup StartFraction 4 Over 5 EndFraction cup. CupFifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment. Which equation can be used to solve for x, the total amount of paint in the mixture of the two colors? 0.15(40) + 0.6x = 0.25(40 + x) 0.15(40) + 0.6(x – 40) = 0.25(x) 0.15(40) + 0.6x = 0.25(40 – x) 0.15(40) + 0.6(x + 40) = 0.25(x)

Answers

Correct question is;

1) Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture?

2) Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment. Which equation can be used to solve for x, the total amount of paint in the mixture of the two colors?

A) 0.15(40) + 0.6x = 0.25(40 + x)

B) 0.15(40) + 0.6(x – 40) = 0.25(x)

C) 0.15(40) + 0.6x = 0.25(40 – x)

D) 0.15(40) + 0.6(x + 40) = 0.25(x)

Answer:

1) Amount of cream = ¼cup

2) Option D: 0.15(40) + 0.6(x - 40) = 0.25x

Step-by-step explanation:

1) First of all, let x represent the amount of cup of milk and let y represent the of cup of cream.

We are told that the volume of the mixture is 1 cup.

Thus;

x + y = 1 - - - (eq 1)

We are now told that the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat

Thus, x contains 0.02 fat, y contains 0.18 fat and the 1 cup of mixture contains 0.06 fat.

Thus, we will multiply the respective terms in eq 1 by these %fat content.

Thus;

0.02x + 0.18y = 0.06(1)

0.02x + 0.18y = 0.06 - - - (eq 2)

From eq 1, let's make y the subject which is the amount of cup of cream.

Thus,

y = 1 - x

Let's put 1 - x for y in eq 2 to get;

0.02x + 0.18(1 - x) = 0.06

0.02x + 0.18 - 0.18x = 0.06

0.18x - 0.02x = 0.18 - 0.06

0.16x = 0.12

x = 0.12/0.16

x = 3/4 cup

From,y = 1 - x;

y = 1 - (3/4)

y = ¼ cup

Amount of cream = ¼cup

2) We are given;

15% of the pigment in paint color A is black.

60% of the pigment in paint color B is black.

We are now told that Alan unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment.

If we assume the total amount of paint in the mixture is x like we are told, it means that based on the given data, we have a sum of;

0.15(40) + 0.6(x - 40)

Thus is because we know the amount of paint A used as 40 but don't know the amount of paint B used.

Now we are told that this sum produces a mixture that contains 25% black pigment. Since the total amount in the mixture is x. Thus, this final product is 0.25x.

Therefore to derive an equation to find the total amount of paint in the mixture of the two colors, we will equate the sum of the 2 Mixtures to the final product.

This gives;

0.15(40) + 0.6(x - 40) = 0.25x

Mike spent $32.86 on 15.5 pounds of grass seed for his yard. What is the price per pound of the grass seed?

Answers

Step-by-step explanation:

the price per pound of grass is $2.12

A store has two sizes of peanut butter for sale. Jar A is $2.89 for 16 oz and Jar B is $6.01 for 36 oz. Which jar has the lower price per unit rate?

Answers

Jar A

Answer: Jar A.
Jae A has the lower price

Select all equations that have graphs with the same y-intercept.

Group of answer choices

y=3x - 8

y=3x - 9

y=3x + 8

y= 5x-8

y=2x -8

y=1/3x -8

Answers

y=3x-8,5x-8,2x-8,1/3x-8 how to find it is to look at the (x,y) if the equation have the same y (y-intercept)

The area of a rectangle is 26.88 square centimeters. The length of the rectangle is 9.6 centimeters. What is the width of the rectangle in centimeters?​

Answers

Answer:

26.88 divided by 9.6 is 2.8

Meaning that the width is 2.8 cm

The point (1,0) is rotated (5π/4) about the origin. Find the coordinates of its image correct to three decimal places.

Answers

Answer:

The result can be shown in multiple forms.

(1,0),3.92699081 ...

Which expression is equivalent to a^m + a^n? A, a^m - n B, a^m+n. C, a^m • n d, a^m (divided by) n

Answers

Answer:

Option B

Step-by-step explanation:

[tex]a^{m} + a^{n} = a^{m+n}[/tex] ( by using laws of exponents )

Therefore option B is correct

Hope this helps

plz mark as brainliest!!!!!

how do u find the slope of the line and for y=9x - 5/2

Answers

Answer:

slope = 9 y-intercept = -5/2

Step-by-step explanation:

since slope form is y=mx+b we know that m= slope and b=y-intercept. since 9 is in place of the m that shows that 9 is the slope. since 5/2 is in the b place you would think the y-intercept would be 5/2 but since the equation is - 5/2 instead of + 5/2 it would be + (-5/2) making the y-intercept negative. hope this helped. :)

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