The average of four different positive integers is 9. What is the greatest value for one of the integers?

Answers

Answer 1

From the given information; Let the unknown different positive integers be (a, b, c and d).

An integer is a set of element that are infinite and numeric in nature, these numbers do not contain fractions.

Suppose we make an assumption that (a) should be the greatest value of this integer.

Then, the other three positive integers (b, c and d) can be 1, 2 and 3 respectively in order to make (a) the greatest value of the integer.

Therefore, the average of this integers = 9

Mathematically;

[tex]\mathbf{\dfrac{(a+b+c+d)}{4} =9}[/tex]

[tex]\mathbf{\dfrac{(a+1+2+3)}{4} =9}[/tex]

[tex]\mathbf{\dfrac{(6+a)}{4} =9}[/tex]

By cross multiplying;

6+a = 9 × 4

6+a = 36

a = 36 - 6

a = 30

Therefore, we can conclude that from the average of four positive integers which is equal to 9, the greatest value for one of the selected integers is equal to 30.

Learn more about integers here:

https://brainly.com/question/15276410?referrer=searchResults

Answer 2

The greatest value for one of the four positive integers is 30.

To find the largest positive integer, you have to minimize the other three positive integers.

The least three different positive integers available = 1, 2, 3let the largest positive integer = ythe sum of the four different positive integers = 1 + 2 + 3 + y = 6 + y

Find the average of the four positive integers and equate it to the given value of the average.

[tex]\frac{6 + y}{4} = 9\\\\6+ y = 36\\\\y = 36-6\\\\y = 30[/tex]

Thus, the greatest value for one of the positive integers is 30

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Related Questions

The average net primary production in tropical rain forests each year is 8,900 kilocalories per square meter. If the total net primary production of a selected portion of a tropical rain forest in a given year is 1.8*10^ 8. kilocalories, what is the approximate total area, in square meters, of the selected portion?
A) 4.9 * 10 ^ 3
B) 1.6 * 10 ^ 4
C) 2.0 * 10 ^ 4
D) 1.6 * 10 ^ 12 ​

Answers

Answer:

C: 2 × 10⁴

Step-by-step explanation:

We are told that the average net primary production in tropical rain forests each year is 8,900 kilocalories per square meter.

Thus;

P_net,average = 8900 Kcal/m²

We are also told that net primary production of a selected portion of a tropical rain forest in a given year is 1.8 × 10^(8) kilocalories.

Thus;

P_net = 1.8 × 10^(8) Kcal

To get the average, the formula is;

P_net,average = P_net/Area

Thus;

Area = P_net/P_net,average

Plugging in the relevant values;

Area = (1.8 × 10^(8))/8900

Area ≈ 2 × 10⁴ m²

Which are vertical angles?

Answers

Answer:

The top answer is correct

Step-by-step explanation:

Vertical angles are formed when two lines meet each other at a point and they are always equal to each other. Their angles are also equal. In this problem number two has angles that do not match and number three also has different angles. Finally number four also has different angles and is not equal to each other. Leaving number one (the top answer) which looks to have the same angle, and is equal to each other.

Tom received a $70 gift card for a cafe. He used it to buy some coffee that cost $7.73 per pound. After buying the coffee, he had $23.62 left on his card. How many pounds of coffee did he buy.

Answers

Answer: He bought 6 pounds of coffee.

Step-by-step explanation:

Money he have = 70

money he used to buy = 70.00 - 23.62 = 46.38

so

7.73 dollar = 1 pound

1 dollar = 1/(7.73) = 100/773 pound

46.38 dollar = (100/773) * 46.38 = 6 pound

I need help with this math problem

GP ​

Answers

We have

(a + bx) / (a - bx) = (b + cx) / (b - cx)

==>   (a + bx) (b - cx) = (a - bx) (b + cx)

==>   ab + (b ² - ac) x - bcx ² = ab + (ac - b ²) x - bcx ²

==>   (b ² - ac) x = (ac - b ²) x

==>   b ² - ac = ac - b ²

==>   2b ² = 2ac

==>   b ² = ac … … … [1]

Similarly, you would find

(a + bx) / (a - bx) = (c + dx) / (c - dx)

==>   ad = bc … … … [2]

and

(b + cx) / (b - cx) = (c + dx) / (c - dx)

==>   c ² = bd … … … [3]

Now:

c ² = bd   ==>   b = c ² / d

b ² = ac   ==>   c = b ² / a

ad = bc   ==>   d = bc / a

and we find

d / c = (bc / a) / (b ² / a) = c / b

and

c / b = (b ² / a) / (c ² / d) = (b ² d) / (a c ²) = b / a

which is to say, the ratio between d and c is equal to the ratio between c and b, and also equal to the ratio between b and a. Therefore (a, b, c, d) are in a geometric progression.

For every paper boat that Lina makes Harry can make 2 paper boats if they make 117 paper boats altogether how many paper boats does Harry make

Answers

Answer:

78

Step-by-step explanation:

For every 1 bout Lina makes, Harry makes two boats.

1 + 2 is 3.

117 divided by 3 = 39, which is how many boats Lina made.

39 x 2 = 78, which is how many boats Harry made.

To check our answer, 39 + 78 = 117, which is how many boats they made altogether, so the answer is correct.

Answer:

78

Step-by-step explanation:

My knowledge!!

Hope it helps!

Would appreciate the help please!

Answers

Answer:

DF

Step-by-step explanation:

The side opposite the largest angle has the longest measurement

<E has  the largest measurement so DF is the longest side

The cost per hour of running an assembly line in a
manufacturing plant is a function of the number of
items produced per hour. The cost function is
C(x) 0.3x2 – 1.2x + 2, where C (x) is the cost per
hour in thousands of dollars, and x is the number of
items produced per hour, in thousands. Determine
the minimum production level, and the number of
items produced to achieve it. Include a final written
statement.

Answers

Answer:

the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.

Step-by-step explanation:

if there is no mistake in the problem description, I read the following function :

C(x) = y = 0.3x² - 1.2x + 2

I don't know if you learned this already, but to find the extreme values of a function you need to build the first derivative of the function y' and find its solutions for y'=0.

the first derivative of C(x) is

0.6x - 1.2 = y'

0.6x - 1.2 = 0

0.6x = 1.2

x = 2

C(2) = 0.3×2² - 1.2×2 + 2 = 0.3×4 - 2.4 + 2 = 1.2-2.4+2 = 0.8

so, the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.

Find the slope between (-2,-2) and (0,-3)

Answers

Answer:

Step-by-step explanation:

x1 y1 x2 y2

-2 -2 0 3

ΔY 5

ΔX 2

slope= 2 1/2

B= 3

Y =2.5X +3

HELPP PLEASEEEEEEEEEEE

Answers

Answer:

A) 14

B) 48

Step-by-step explanation:

[tex]x^{a}[/tex] · [tex]x^{b}[/tex] = [tex]x^{a+b}[/tex]

[tex](x^{a}) ^{b}[/tex] = [tex]x^{ab}[/tex]

Instructions: Find the lengths of the other two sides of the isosceles right triangle below.

Answers

Given:

The ratio of 45-45-90 triangle is [tex]x:x:x\sqrt{2}[/tex].

The hypotenuse of the given isosceles right triangle is [tex]7\sqrt{2}[/tex].

To find:

The lengths of the other two sides of the given isosceles right triangle.

Solution:

Let [tex]l[/tex] be the lengths of the other two sides of the given isosceles right triangle.

From the given information if is clear that he ratio of equal side and hypotenuse is [tex]x:x\sqrt{2}[/tex]. So,

[tex]\dfrac{x}{x\sqrt{2}}=\dfrac{l}{7\sqrt{2}}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{l}{7\sqrt{2}}[/tex]

[tex]\dfrac{7\sqrt{2}}{\sqrt{2}}=l[/tex]

[tex]7=l[/tex]

Therefore, the lengths of the other two sides of the given isosceles right triangle are 7 units.

lll give brainliest
What is the slope of a line that runs parallel to y = -x + 7? Use a number to fill in the blank.

Answers

Answer:

Lines parallel to this line will have a slope of -1

Step-by-step explanation:

y = -x + 7

This line is in slope intercept form

y = mx+b where m is the slope

The slope is -1

Parallel lines have the same slope

Lines parallel to this line will have a slope of -1

Answer:

-1

Step-by-step explanation:

Parallel lines have the same slope

The equation y = -x + 7 has a slope of -1 meaning that a line parallel to it would also have a slope of -1

Parallelogram PARL is similar to parallelogram WXYZ. If AP = 7, PL = 15, and WZ = 45, find the value of c.

Answers

Answer:

c = 21

Step-by-step explanation:

**I assume that side WX in my diagram (attached as an image below) is the value of C that we're looking for. ALSO, the sizes and lengths of the parallelograms are NOT to scale.**

If two parallelograms are similar, that means the lengths of the corresponding sides have EQUAL ratios.

PL corresponds with WZ. To get from 15 to 45, you would multiply 15 by 3, so the ratio of the legnths of the corresponding sides between these two parallelograms is 1:3.

With that in mind, we can apply this ratio to find WX.

We know that AP has a length of 7, so we will multiply that by 3, getting a value of 21, and 7:21 ratio is the same as 1:3.

c = 21

Hope this helps (●'◡'●)

HHHHELP ME!!!!!! PLZ

Answers

Total gasoline = 10 gallons

Gasoline left after 100 miles = 5 gallons

Gasoline used in 100 miles

= Total gasoline - Gasoline left after 100 miles

= 10 gallons - 5 gallons

= 5 gallons

Gasoline used in 1 mile

= Gasoline used in 100 miles/100

= 5 gallons/100

= 0.05 gallons

If a = 1/2, then a^2=
(A) -1
(B) 4
(C) 0
(D) 1

Answers

Answer:

1/4

Step-by-step explanation:

a^2

Let a= 1/2

(1/2)^2

(1/4)

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{a^2}\\\\\mathsf{= \ (\dfrac{1}{2})^2}\\\\\mathsf{= \ \dfrac{1}{2}\times\dfrac{1}{2}}\\\\\mathsf{= \ \dfrac{1\times1}{2\times2}}\\\\\mathsf{= \ \bf \dfrac{1}{4}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, the ANSWER is: }\boxed{\mathsf{\bf \dfrac{1}{4}}}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

SEE QUESTION IN IMAGE

Answers

Answer:

Step-by-step explanation:

[tex]Mean=\frac{all.ages.added.together.of.all.kids}{total.number.of.kids}[/tex] Hopefully, that makes sense! To get the numerator of that problem, we take the number of kids and multiply it by the corresponding age and add them all together. To get the denominator, we add the total number of kids together. That will look like this mathematically, setting the mean equal to 14.44, as stated:

[tex]14.44=\frac{13(15)+14(42)+15X+16(10)+17(3)}{15+42+X+10+3}[/tex] and simplify that a bit to

[tex]14.44=\frac{195+588+15X+160+51}{70+X}[/tex] and a bit more to

[tex]14.44=\frac{994+15X}{70+X}[/tex] and cross multiply

14.44(70 + X) = 994 + 15X and

1010.8 + 14.44X = 994 + 15X and

16.8 = .56X so

X = 30

30 kids are 15 years old for the mean age to be 14.44

d.30

Answer:

Solution given:

x. [tex] \:\:\:[/tex] f. [tex] \:\:\:[/tex] fx

13. [tex] \:\:\:[/tex] 15. [tex] \:\:\:[/tex] 195

14.[tex] \:\:\:[/tex] 42 [tex] \:\:\:[/tex] 588

15. [tex] \:\:\:[/tex] x. [tex] \:\:\:[/tex] 15x

16. [tex] \:\:\:[/tex] 10. [tex] \:\:\:[/tex] 160

17. [tex] \:\:\:[/tex] 3. [tex] \:\:\:[/tex] 51

. n=70+x. [tex]\sum[/tex]=994+15x

we have

mean=sum/n

14.44=[tex]\bold{\frac{\sum}{n}}[/tex]

14.44=[tex]\bold{\frac{994+15x}{70+x}}[/tex]

doing crisscrossed multiplication

(70+x)*14.44=994+15x

1010.8+14.44x=994+15x

15x-14.44x=1010.8-994

0.56x=16.8

x=16.8/0.56

x=30

What is the slope of the line that contains the points in the table?
х
У
15
-2
9
ON
3
4
-3
O A. 3
O B. -6
O c. 2
O D. -3

Answers

Answer:

https://www.dasd.org › 4444PDF

Web results

Entering Algebra 2: Answer Key

... 2.........5
16--- + 6---
.....3.........8


I need this answer fast pls​

Answers

Answer:

what is that? I can't understand it.

the answer is 23 and 7/24

Identify f? 6(3f - 15)

Answers

Answer:

[tex]6(3f-15)=90[/tex]

[tex]3f=90/6+15=30[/tex]

[tex]f=10[/tex]

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

Hope it helps...

Have a great day!!

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{6(3f - 15) = 90^\circ}\\\\\huge\text{DISTRIBUTE}\\\\\mathsf{6(3f) + 6(-15) = 90^\circ}\\\\\mathsf{18f - 90 = 90^\circ}[/tex]

[tex]\text{NEW EQUATION: }\mathsf{18f - 90 = 90}[/tex]

[tex]\huge\text{ADD 90 to BOTH SIDES}[/tex]

[tex]\mathsf{18f - 90 + 90 = 90 + 90}[/tex]

[tex]\textsf{CANCEL out: -90 + 90 because that gives the number of 0}[/tex]

[tex]\textsf{KEEP: 90 + 90 because it helps solve for the f-value}[/tex]

[tex]\mathsf{90 + 90 = \bf 180}[/tex]

[tex]\huge\text{NEW EQUATION:\textsf{ 18f = 180}}[/tex]

[tex]\huge\text{DIVIDE 18 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{18f}{18}=\dfrac{180}{18}}[/tex]

[tex]\mathsf{CANCEL \ out: \dfrac{18}{18}\ because \ that \ gives \ the \ number \ of\ 1}[/tex]

[tex]\mathsf{KEEP: \dfrac{180}{18} \ because \ that \ gives \ the\ f-value \ result}[/tex]

[tex]\mathsf{f = \dfrac{180}{18}}[/tex]

[tex]\huge\text{SOLVE ABOVE \& YOU HAVE THE RESULT}[/tex][tex]\huge\text{OF THE F-VALUE}[/tex]

[tex]\mathsf{\dfrac{180}{18}}[/tex]

[tex]\mathsf{= \bf 18}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Therefore, your ANSWER is: \bf f = 10}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What is the solution to this equation?
log_8 16 + 2log_8x =2

Answers

The awnser is I think x=2

The value of x for the given equation [tex]log_{8}[/tex](16) + 2[tex]log_{8}[/tex](x) = 2 will be 2 so option (B) must be correct.

What is a logarithm?

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

In another word, a logarithm is a different way to denote any number.

Given the equation

[tex]log_{8}[/tex](16) + 2[tex]log_{8}[/tex](x) = 2

We know that,

xlogb = log[tex]b^{x}[/tex]

So,

2[tex]log_{8}[/tex](x) = logx²

For the same base

logA + logB = log(AB)

So,

[tex]log_{8}[/tex](16) + [tex]log_{8}[/tex](x)² = 2

[tex]log_{8}[/tex](16x²) = 2

We know that

[tex]log_{a}[/tex](b) = c ⇒ b = [tex]a^{c}[/tex]

so,

[tex]log_{8}[/tex](16x²) = 2 ⇒ 8² = 16x²

x = 2 hence x = 2 will be correct answer.

For more about logarithm

https://brainly.com/question/20785664

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Hi I need help with this question please!!! I don’t understand it :/

Answers

Answer:

- 22.5

Step-by-step explanation:

Substitute x = 3 into f(x) and x = 16 into h(x) , then

[tex]\frac{1}{2}[/tex] g(3) - h(16)

= [tex]\frac{1}{2}[/tex] × - 3(3)² - (2[tex]\sqrt{16}[/tex] + 1)

= [tex]\frac{1}{2}[/tex] × - 3(9) - (2(4) + 1)

= [tex]\frac{1}{2}[/tex] × - 27 - (8 + 1)

= - 13.5 - 9

= - 22.5

The above answer is correct. Great job

Which of the following is the product of the rational expressions shown
below?
3
2x
O A.
21
2x + 4
21
2x2 + 4x
O c.
42
2x + 4
D.
42
2x² + 4x

Answers

Answer:

The answer is "B"

Step-by-step explanation:

The explanation is in the picture!

Help, please, I'll give brainliest

Answers

240 seats per row I dont have explaination option so hope its helpful

Can someone help me in this plz

Answers

Answer:

a =2 5

b =50

Step-by-step explanation:

Can someone Answer this

Answers

Answer:

tan x = c/b

cos x = b/a

sin x = c/a

Step-by-step explanation:

an easy way to memorize it would be SOH CAH TOA

SOH = sin, opposite, hypotunese

-- you find the angle and you divide it's opposite and hypotunese when it asks for sin

CAH = cos, adjacent, hypotunese

-- you find the angle's adjacent side and hypotunese, then divide

TOA = tan, opposite, adjacent

-- you find the angle's opposite side and divide it by the adjacent side

Solve for x. round to the nearest tenth, if necessary.​

Answers

Answer:

29

Step-by-step explanation:

all in all it is 180 so 61 + m (which is 90 because it is a right angle)=151

then 180-151=29

What set of transformations are applied to parallelogram ABCD to create A’B’C’D’

Answers

'Rectangle formed by ordered pairs A at negative 4, 2, B at negative 4, 1, C at negative 1, 1, D at negative 1, 2. Second rectangle formed by ordered pairs A double prime at 4, negative 2, B double prime at 4, negative 1, C double prime at 1, negative 1, D double prime at 1, negative 2.
Reflected over the x‒axis and reflected over the y-axis

Given a right triangle with an acute angle Θ , if sin Θ = cos Θ , describe what this triangle would look like.

Answers

For sinø = cosø, ø = 45°. Because it is right, it is also a right, isosceles  triangle

36. Factorize x-12x + 20​

Answers

hope this helps! feel free to clarify

How can 65% be broken down with friendly percents to find 65% of a number?

A. 25% + 25% + 10%
B. 25% + 10% + 10% + 10% + 10%
C. 50% + 10%
D. 50% + 25%
PLz Help Thx :>

Answers

Answer:

10%

Step-by-step explanation:

Answer:

given that the only one that actually adds up to 65%

is B....

B. 25% + 10% + 10% + 10% + 10%

Step-by-step explanation:

From the diagram below, of the distance between the tree and point B is 125 meters, and the angle of depression from the top of the tree to point B is 46 degrees, how tall is the tree in meters? (round to the nearest whole meter)

Answers

Answer:

a. 129 meters

Step-by-step explanation:

The given parameters of the tree and the point B are;

The horizontal distance between the tree and point B, x = 125 meters

The angle of depression from the top of the tree to the point B, θ = 46°

Let h represent the height of the tree

The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point B is parallel to the horizontal distance from the point B to the tree, therefore;

The angle of depression = The angle of elevation = 46°

By trigonometry, we have;

tan(θ) = h/x

∴ h = x × tan(θ)

Plugging in the values of the variables gives;

h = 125 × tan(46°) ≈ 129.44

The height of the tree, h ≈ 129 meters

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