Find four consecutive odd integers
such that twice the smallest
subtracted from three times the
largest is 63.​

Answers

Answer 1
Let:
x = smallest integer
x + 2 = second smallest integer
x + 4 = second largest integer
x + 6 = largest integer

Solving:
(3(x + 6)) - 2x = 63
3x + 18 - 2x = 63
x + 18 = 63
x = 45 (smallest integer)

Answer: The integers are 45, 47, 49, and 51.

Check:
(3*51) - (2*45) = 63
153 - 90 = 63
63 = 63
Are the integers consecutive and odd? Yes!

Related Questions

You deposit $300 dollars in a savings account the account earns 10% simple interest per year whats the interest after 8 years

Answers

Answer:

$240

Step-by-step explanation:

Given data

Principal= $300

Rate= 10%

Time= 8 years

We know that the expression for the simple interest is given as

SI= PRT/100

Substitute

SI= 300*10*8/100

SI= 24000/100

SI= $240

Hence the interest is $240

Hi, can someone help with these two questions ASAP! (Ignore the multiple choice I circled, not sure if it’s correct)
Thanks!!

Answers

Answer:

1) D. [tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]

2) E. The coefficient of [tex]x[/tex] is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form [tex]p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex], where [tex]n[/tex] is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

[tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]

Correct answer: D

2) Let [tex]p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)[/tex], we proceed to expand the expression by algebraic means:

[tex]p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)[/tex]

[tex]p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4[/tex]

We see that coefficients for [tex]x^{2}[/tex] and [tex]x[/tex] are -16 and 0, respectively. Hence, the incorrect answer is E.

Rhea draws rows and columns on a big piece of paper to make 16 same-sized squares. How many rows and columns does she draw? I

Answers

Answer:

4 rows and 4 columns

Step-by-step explanation:

Given

16 same sized squares

Required

Determine the number of rows and columns

Since the shape formed is a square, then the following relationships exist:

[tex]Row * Column = 16[/tex]

[tex]Row = Column[/tex]

[tex]Row * Column = 16[/tex] can then be rewritten as:

[tex]Row * Row = 16[/tex]

[tex]Row^2 = 16[/tex]

Take square roots of both sides

[tex]Row = \sqrt{16[/tex]

[tex]Row = 4[/tex]

[tex]Row = Column[/tex] implies that:

[tex]Row = Column = 4[/tex]

HELP PLZ
"Is triangle ABC a right triangle? Use measurements from all sides of the triangle to argue yes or no"​

Answers

Answer:

no 12,5,12

Step-by-step explanation:

Please help:(

A. D: (2, 1, 0, -2, -3), R (1, -3, -3, -3, -4}

B. D: (-3, -2, 0, 1, 2}, R: (-4, -3, 1)

C. D: (-3, -2, 1, 1, 2), R: (1, -3, -4)

D. D (-3, -2, 0, 1, 2), R (1, -3, -3, -3, -4)

Which is the answer?

Answers

Answer  c would be the answer hope it helps

Step-by-step ex planation:

Please help I need to show all work

Answers

Answer: x=-3 can you mark me brainlyest thanks

Step-by-step explanation:

3(x-6)=2x(x+3)

3x-18=3x+6x

3x-18=9x

-3x      -3x

-18=6x

__   __

6      6

x=-3

Answer: X = -13 answers above btw

Find the distance between A and B

Answers

The answer to this will be 8

Answer:

11 units

Step-by-step explanation:

10
Find the value of x.
8
9
X
*15
X=

Answers

Answer:

x = 19

Step-by-step explanation:

Here, we want to find the value of x

To get this, we use one of the important circle theorems. This is the theorem of secant segments

We have this that;

8(8 + x)= 9(9 + 15)

64 + 8x = 216

8x =

216-64

8x = 152

x =

152/8

x = 19

I will give brainliest to first A circular hole was cut from the center of a plastic disc as shown below. The measurements are given in millimeters (mm). Answer choices are 177 330 11,127 11,304
(Middle number says 15 mm btw)​

Answers

Answer:

330

Step-by-step explanation:

Ginger uses the rule "divide by 3" to make a number pattern. If she starts with 36, what are the next two numbers?


A.12, 6

B.12, 3

C.12, 4

D.36, 32

Answers

Answer:

Step-by-step explanation:

Option C is the correct answer

pls help meeeeeeeeeeeeeee

Answers

Answer:

73

Step-by-step explanation:

13+15(4) = 73

it is c, 73. all you do is plug 4 in for x then multiply and add

it takes 61 pounds of seed to completely plant an 11- acre field. how many pounds of seed are needed per acre

Answers

5.55 (rounded to two decimal places)
Explain: 61 divided by 11 = 5.5454545

The passengers on Fly Right Airlines have their choice of snacks: peanuts, raisins, or granola. They also have the choice of four beverages: juice, water, milk, or coffee. All choices are equally popular. What is the probability a passenger would choose granola and juice? .

Answers

Answer:

The probability of them picking granola is 1/3

The probability of them choosing juice is 1/4

Step-by-step explanation:

Hope it helps :)

Please answer correctly

Answers

triangle NPQ= 35º

i hope this helps!!

I’m lazy:) I’ll give brainliest

Answers

Answer:

its 5.795

Step-by-step explanation:

Answer:

5.790

Step-by-step explanation:

all zeos at the top

The radius of Cylinder A measures ____ feet.

14, 7, 10

The radius of Cylinder B measures ____ feet.

1.4, 2.8, 5.7

Answers

Answer:

The radius of Cylinder A measures 7 feet.

The radius of Cylinder B measures 2.8 feet.

Step-by-step explanation:

The radius of Cylinder A measures 7 feet.

because the radious is half of the diameter and 14 is the diameter

The radius of Cylinder B measures 2.8 feet.

Answer:

Cylinder A's radius is 7 because the radius is diameter divided by 2.

Cylinder B's radius is 2.8 because the height of Cylinder A is 5 times bigger than Cylinder B's height.

Step-by-step explanation:

The function P(h)= 2h- 15 represents the profit a company makes selling h hot dogs. Which is the most appropriate domain of the function?
a : all positive intergers
b : all positive real numbers
c : all positive rational numbers
d : all positive irrational numbers

Answers

The requried most appropriate domain for the function P(h) would be the set of all non-negative real numbers. The domain is b, all positive real numbers.

What is a domain?

The domain is defined is a set of values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

The function P(h) = 2h - 15 represents the profit a company makes selling h hot dogs. In general, the domain of a function represents the set of all possible input values for which the function is defined.

In this case, the function can be defined for any non-negative value of h, since the company can sell any number of hot dogs, including zero. However, the function may not be defined for negative values of h, since it does not make sense to talk about selling a negative number of hot dogs.

Learn more about the domain here:
https://brainly.com/question/28135761
#SPJ2

4
Please! HELP! very easy! will give brainliest!

Answers

I might be wrong but I think it's 43

Answer:

Tom will need 42 bags of seed.

Step-by-step explanation:

The area of Tom's yard is 630 square feet.

Divide the area (630) by the amount of area that each bag of seed covers (15)

630 divided by 15 is 42. So, Tom will need to use 42 bags of seed to cover his whole yard.

Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Answers

Answer:

Given rhombus ABCD with

m∠EAD = 67°, CE = 5, DE = 12

Properties of a rhombus:

All sides are congruentDiagonals are perpendicularDiagonals are angle bisectorsDiagonals bisect each other

Solution, considering the above properties

1. m∠AED = 90°, as angle between diagonals2. m∠ADE = 90° - 67° = 23° as complementary of ∠EAD3. m∠BAE = 67°, as ∠BAE ≅ ∠EAD4. AE = CE = 5, as E is midpoint of AC5. BE = DE = 12, as E is midpoint of BD

find the distance between the two points (-7,0) and (-9,-8)

Answers

Answer:

in decimal form it is 8.25

Write a proportion comparing the rise to the run for each of the similar slope triangles shown at the right. Then find the numeric value.

Answers

Answer:

AB/CΔ=BC/ΔE   {similar triangles}

[tex]2/4=2/4[/tex]

[tex]1/2=1/2\\[/tex]

so numeric value= 1/2

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

hope it helps....

have a great day!!

Chrome - Test Player
b test.mapnwea.org/growth/#/test-player
Robert bought a new flat-screen television. The dimensions of the screen are shown in the diagram.
20 inches
37 inches
What is the approximate length of the diagonal of the television screen?
O A 40 in.
OB. 42 in.
O c. 57 in.
OD. 64 in.

Answers

Answer:

57in

Step-by-step explanation:

20 + 37 = 57in

Determine if the following lengths could make a right triangle. (Your answer will be yes or
no.)
1) 8 cm, 12 cm, and 6 cm
I
2) 50 in., 48 in., and 14 in.

Answers

Answer:

(2) is a right angled triangle.

Step-by-step explanation:

8²+6²=64+36=100=10²≠12²

48²+14²=2304+196=2500=50²

?/1 A box contains 5 red marbles and 7 green marbles. Find the probability of drawing a green marble and not returning it to the box and then drawing a red marble?

Answers

Answer: 35/132

Step-by-step explanation:

probability of drawing green marble: 7/12

since the green marble drawn won't be returned to the box, the new total amount of marbles in the box is 11.

probability of red marble: 5/11

then multiply the 7/12 and 5/11 together:

35/132 which is abut 26.5%

1. Place these numbers in order from smallest to largest:
8/5 , -3, 6, 3.1 , -2.5, 1/4, - 3/4 - 3/8


:)



Answers

Answer:

Step-by-step explanation:

-3/8, - 3/4, - 3, - 2. 5, 1/4, 8/5 3.1, 6


Segment PR and segment QS are diameters of circle U. Find measure of arc PQ.

Answers

Answer:

74

Step-by-step explanation:

64+42=106

180-106=74


Find the area of the circle. Round to the nearest hundredth.

Answers

Answer:

10?

Step-by-step explanation:

the answer is A or 78.54 yds

35 out of 42 students bought their lunch. How many students out of every 6 bought their​ lunch?

Answers

Answer:

0.138 students per bought

Step-by-step explanation:

1. Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours

of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.

Answers

The question is incomplete. The complete question is :

Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours  of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.

Which study appears to look for an association between two variables without actively manipulating either one. What are those variables ?

Solution :

The second study in the context is involved in asking for a random sample of the students at an university to provide a report the average hours of sleep that everybody get each night and also the grade point of their college appears for association between these two variables without actively changing either of one.

These variables are the grade point average of the students and the numbers of hours of sleep.

Can someone plz help me

Answers

Answer:

41 degrees

Step-by-step explanation:

All three angles in a triangle must add up to 180 degrees. The picture already tells you that B is 63 degrees. This means A and C should both add up 117 degrees. If A is 2x+8 and B is x+7, then A+B is 3x+15. This means that 3x+15 is equal to 117 degrees.

3x + 15 = 1173x = 117 - 153x = 102x = 102/3x = 34

Now that we know that x is 34, we plug it in. X + 7 becomes 34 + 7 degrees which is equal to 41 degrees.

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