Find three consecutive even integers such that the sum of 5 and the second is multiplied by -7, the result is 11 greater than 5 times the opposite of the third

Answers

Answer 1

Answer:

  -20, -18, -16

Step-by-step explanation:

For consecutive integer problems, it often works well to let a variable represent the middle one (or their average value).

__

Here, we can let x represent the second integer. Then the first is (x-2), and the third is (x+2). The given relation can be written as ...

  (5 +x)(-7) = 11 +5(-(x+2))

  -35 -7x = 11 -5x -10 . . . . . . eliminate parentheses

  -36 = 2x . . . . . . . . . add 7x -1

  -18 = x . . . . . . . . divide by 2

The three integers are -20, -18, -16.


Related Questions

what is this? please help​

Answers

Answer:

50

Step-by-step explanation:

to find the mean you have to add all the number up together. then divide that number by how many numbers it is in all:

48+50+5+60+37+50=300

divide 300 by 6= 50

Answer: it is the first choice which is 50 .

Step-by-step explanation: to find the mean it means you have to find the average total so you will have to add them together and divide by 6 as they are 6 numbers . When you add them the answer is 300 , divide by 6 the answer is 50 .

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HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .

7. Parallelogram CDEF with vertices C(-4,-4),
D(-2, 0), E(6, 1), and F(4, -3) in the line y = 2.
I need the coordinates after the reflection.

Answers

As per the given data, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).

What is Parallelogram?

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other, and the opposite angles are also equal.

To reflect the parallelogram CDEF across the line y=2, we need to reflect each vertex across the line.

The line y=2 acts as a mirror, so the distance of each point to the line will remain the same before and after reflection, but the sign of the y-coordinate will change.

The reflection of point (x, y) across the line y=2 can be found by the formula (x, 2 - (y-2)) or (x, 4 - y).

Using this formula, we can find the coordinates of the reflected parallelogram:

- The reflected image of point C(-4,-4) is (-4, 8).

- The reflected image of point D(-2, 0) is (-2, 4).

- The reflected image of point E(6, 1) is (6, 3).

- The reflected image of point F(4, -3) is (4, 7).

Therefore, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).

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factor out the ___ from the number to make it positive​

Answers

factor out the -1 to make it positive

A video rental company offers a plan that includes a membership fee of $5 and charges $1 for every DVD borrowed. They also offer a second plan, that costs $47 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. How many DVDs is that? What is that total cost of either plan?

Answers

Answer:

for $5 plan if he rents 47 dvd it will pay 47% as one DVS cost 1 $ .

Step-by-step explanation:

that would be 42 dvds bc if each dvd is a dollar and there was first a 5 dollar fee, just subtract 47-5=42 and then 42divided by 1 which is 42$ so if you dont get 42 dvds per month, then go for the one with a 5 dollar fee

Which point on the number line best represents the approximate vault of /23

Answers

It would be Q because /23 is 4.796

Tia's tent is in the form of a triangular prism as shown below.
If Tia plans to waterproof the tent, excluding the base, what
is the area in which she will waterproof?
(round to the nearest hundredth)

Answers

Answer: 279.43

Step-by-step explanation:

The area of the tent that she will need to waterproof is 279.43 feet².

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a tent in the form of a triangular prism as given.

We have to find the surface area of the tent excluding the base.

There are 2 triangular faces and 2 rectangular faces.

Area of the prism that needs to waterproof = area of 2 rectangles + area of 2 triangles

Area of rectangles = 2 × 14 × 8 = 2 × 112 feet² = 224 feet²

Height of the triangular face = √(8² - 4²) = √48

Area of 2 triangles = 2 × 1/2 × 8 × (√48) = 8√48 feet²

Area needed to be waterproofed = 224 feet² + 8√48 feet² = 279.43 feet²

Hence the area of the tent is 279.43 feet².

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What is it called when your point is right on the Y axis?


Y Intercept


Slope- intercept

Answers

Answer:

y intercept

Step-by-step explanation:

The diameter of a music CD is 12 centimeters. Find the circumference of a CD to the nearest tenth

Answers

37.7 cm

C = 2πr
C = 2(3.14)6
C = 37.7 rounded
the radius is 6 because it is half of the diameter

I need help on this problem

Answers

Answer:

45, 135

Step-by-step explanation:

9x + 12x + 75 = 180

21x + 75 = 180

21x = 180 - 75

21x = 105

x = 105 / 21

x = 5

9 x 5 = 45

12 x 5 + 75 = 135

This is to get easy points but to also be kind
If Carmen drives 17.5 miles to a grocery store and 17.5 miles back then can’t find what she needs so she drive 12.5 miles to a gas station and 12.5 back how many miles did she drive.

I will be giving points out for being on this app so be on the lookout

Answers

Answer:

60 miles

Step-by-step explanation:

Distance travelled :

2 x Distance to grocery + 2 x Distance to gas station2(17.5) + 2(12.5)35 + 2560 miles

30. The cost of the building materials will depend in part on the surface area of the structure. The larger the surface area to be covered, the more it will cost to build. Which structure has the smallest surface area?

Answers

The length of the area and u multiply it because it is still area with the number you are given in the question

Answer:

Which structure has the smallest surface area?

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SOMEONE I NEED HELP PLS HELP ME!!

Answers

Answer:

PQ = 6 units

Step-by-step explanation:

note that the y- coordinates of P and Q are both - 7

then PQ is the difference in the x- coordinates, that is

PQ = | 7 - 1 | = | 6 | = 6

or PQ = | 1 - 7 | = | - 6 | = 6

Leo needs to write an essay for history class. He estimates that he can write 1.5 pages per
hour, and his essay needs to be 6 pages long.
Write an equation that shows the relationship between the number of hours Leo spends
writing, x, and number of pages he has left to write, y.

Answers

Answer:  y = 6-1.5x

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

Work Shown:

x = number of hours

1.5x = number of pages written after x hours

y = 6-1.5x = number of pages left after x hours

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

In other words, if Leo can write at a pace of 1.5 pages per hour, and works for x hours, then he has written 1.5x pages so far. The difference of this with 6 will tell us what is left over. So the expression 6-1.5x is the amount of pages left, which is the value of y.

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

An example:

x = 2 so 1.5x = 1.5*2 = 3

At the 2 hour mark, Leo has written 3 pages. He has 6-1.5x = 6-1.5*2 = 6-3 = 3 pages left.

Please answer ASAP! I will give you brain L. #8

Answers

Answer:

AC = [tex]3\sqrt{3}[/tex]
BC = [tex]6\sqrt{3}[/tex]

Step-by-step explanation:

AC is [tex]x\sqrt{3}[/tex] and x = 3 so [tex]3\sqrt{3}[/tex] and it [tex]=3\sqrt{3}[/tex]

BC is [tex]2x[/tex] and x = 3 so [tex]2(3\sqrt{3}) = 6\sqrt{3}[/tex]

Hopefully this was what you wanted, and is correct!

A landscape design company is building a large gazebo for a backyard. It is in the shape of the
regular polygon shown below, where the measurements are in feet. They need to purchase wood
for the floor. It costs $10 per square foot for the special wood the homeowner wants. Find the cost
of the gazebo's flooring. Recall A = ap for the area of a regular polygon:

Answers

The area of the heptagon will be 533.61 square feet. Then the cost of the gazebo's flooring will be $ 5336.1.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A landscape design company is building a large gazebo for a backyard. It is in the shape of the regular polygon shown below, where the measurements are in feet.

A heptagon is given with an apothem of 12.6 ft and a side length of 12.1 ft.

Then the area of the heptagon is given as

Area of heptagon = 7 x area of a triangle

Area of heptagon = 7 x 0.5 x 12.1 x 12.6

Area of heptagon = 533.61 square ft

If the costs $10 per square foot for the special wood the homeowner wants.

Then we have

Total cost = 10 x 533.61

Total cost = $ 5336.1

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Solve the inequality -4x +1 > 13

Answers

Answer:

The inequality is x is less than negative 3.

Answer:

x < -3

Step-by-step explanation:

. subtract 1 from both sides.

. subtract the numbers

. divide both sides by the same factor and flip the relation

because the factor is negative

. cancel the terms that are both in the numerator and the denominator

. divide the numbers

.then you get youre solution

Write an equivalent expression by distributing the "-−" sign outside the parentheses:
8.9r-(-5s-10)

Answers

Answer:

8.9r + (5s + 10)

actually the parenthesis aren't necessary...

8.9r + 5s + 10

Step-by-step explanation:

You can change a subtraction to addition if you change the second term to the opposite sign. This problem is like advanced mode of "Add the Opposite"

8.9r - (-5s - 10)

= 8.9r + (+5s + 10)

= 8.9r + (5s + 10)

= 8.9r + 5s + 10

PLEASE HELP ME!!!!!!!

Graph the function () = 12 (2) squared on the coordinate plane

Answers

The coordinates are

-2,4

-1,1

0,0

1,1

2,4

A bag contains hair ribbons for a spirit rally. The bag contains 8 black ribbons and 12 green ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons. What is the probability that both Lila and Jessica select a black ribbon? Express your answer as a fraction in simplest form.

Answers

Answer:

[tex]\boxed{\sf \dfrac{14}{95}}[/tex]

Explanation:

Black ribbons = 8 ribbons

Green ribbons = 12 ribbons

Total ribbons: 12 + 8 = 20 ribbons

[tex]\sf Probability = \dfrac{Favorable \ Outcomes}{Total \ Possible \ Outcomes}[/tex]

For Lila:

[tex]\sf Lila \ picks \ black \ : \ \dfrac{8}{20}[/tex]

Left black ribbons: 8 - 1 = 7 black ribbons

Left total ribbons: 20 -1 = 19 total ribbons

For Jessica:

[tex]\sf Jessica \ picks \ black \ : \ \dfrac{7}{19}[/tex]

Probability that they both pick black ribbons:

[tex]\sf \rightarrow \dfrac{8}{20} \ x \ \dfrac{7}{19}[/tex]

[tex]\sf \rightarrow \dfrac{14}{95}[/tex]

Tata's age is 10 years younger than Kaka's age.
Three years from now, the sum of their ages
is 40 years. Tata's current age is
year.
a.12 b.15. c.22. d.25

help me -!

Answers

Answer:

c. 22

Step-by-step explanation:

Let x = Tata's age and y = Kaka's age.

x - 10 = y

x+3 + y+3 = 40

Now, we can substitute in x - 10 for y.

x + 3 + (x - 10) + 3 = 40

so 2x = 44

x = 22

Therefore, Tata's current age is 22.

Determine the domain of the following graph:


Please help!! Desperate

Answers

The domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we can see in the picture, a graph is shown.

The hollow points denote that at x = -3 and x = 7 the function value is not defined, that's why these points should be excluded from the domain of the functions.

The domain of the function:

D: x ∈ (-3, 7)

Thus, the domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.

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HELP ASAP PLSS
A local water park has two types of season passes. Plan A costs a one-time fee of $143 for admission plus $8 for parking every trip. Plan B costs a one-time fee of $52 for parking plus $21 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?

Answers

OMG. I GOT IT ITS 7.

Use the Commutative Property of
Multiplication to write a related
number sentence.
4 X 5 = 20

Answers

Answer:

5*4= 20

Step-by-step explanation:

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

4*5 = 20

We can change to order and the result is still the same

5*4= 20

Answer:

so just think of it as you drawing circles with the number of shapes in each one like 4x6=24 draw 6 big circles and 4 squares in each one or in this case do it with 4x5

Step-by-step explanation:

You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replacing the first marble? explain your answer

Answers

Answer: Without replacing

Step-by-step explanation:

If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.

Find arc QT.
Answers are:
A.71
B.23
C.46
D.142

Answers

Answer:

d)142º

Step-by-step explanation:

[tex]\widehat{AB}=2\times71\º=142\º[/tex]

NEED HELP PLEASE ANSWER ASAP! (45)

Answers

Answer:

   45. (4) (2, 2)

Step-by-step explanation:

Question 45

Equate the equationsx = x² - 2x² - x = 2x(x - 1) = 2

Solutions

x = 2x - 1 = 2 ⇒ x = 3

We'll take x = 2 as no options with x = 3 are listed.

y = xy = 2

Ordered pair

(x, y)(4) (2, 2)

what is the sum of the least and greatest amount of juice1 4/6 is the least 3 is the greatest show your work

Answers

Answer:

Min = 1 4/6

Max = 3

Sum = min + max

=> sum = 1 4/6 + 3

=> sum = 4 /4/6

Answer:

4 4/6

Step-by-step explanation:

if you were asked to convert the complex number, -6 + 8i, into polar form, what values of “r” and “0” would be in polar form?

Answers

Answer:

  10∠126.87°

  r = 10; θ = 126.87°

Step-by-step explanation:

The coordinate conversion from (x, y) or (x +yi) to (r; θ) can be done using the relations ...

  r = √(x² +y²)

  θ = arctan(y/x) . . . . paying attention to quadrant

__

For the given complex number, we have ...

  r = √((-6)² +8²) = √(36 +64) = √100 = 10

  θ = arctan(8/(-6)) = arctan(-4/3) . . . . in the 2nd quadrant

  θ ≈ -53.13° +180° = 126.87°

The equivalence is ...

  -6 +8i  ⇔  10∠126.87° . . . . . in the form r∠θ

_____

Additional comment

Many scientific and graphing calculators are equipped to work with complex numbers, including their conversion to or from polar form.

find the volume of a rectangular prism with a length of 4 inches and a width of 7 inches and a height of 11 inches

Answers

Answer:308

Step-by-step explanation:Multiply 4*7*11


A recipe for bread uses 5 cups of white flour and 3 cups
of wheat flour. How many more cups of white flour than
wheat flour are used in the recipe? Write an equation and
complete the bar diagram to solve.

Answers

the answer would be 3 yk
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