Find two consecutive ODD integers such that: The square of the larger is 120 more than the square of the smaller

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

Le the number be x and x+2

The information given can be formed into and equation as:

(x + 2)² = x² + 120

(x + 2)(x + 2) = x² + 120

x² + 2x + 2x + 4 = x² + 120

Collect like terms

x² - x² + 2x + 2x = 120 - 4

4x = 116

x = 116/4

x = 29

The smallest number is 29

The larger number is x + 2 = 29 + 2 = 31


Related Questions

pls help me ASAP!! what is the surface area of this design? a) 288in b) 256in c) 96in d) 160in

Answers

Answer:

b) 256 inches

Step-by-step explanation:

8x5x2 = 80   (top & bottom)

8x5x2 = 80    (front & back)

8x8x2 = 128    (gross area of 2 sides)

4x4x2 =32      (delete this for side cutouts) Guessing the cutoff dimension on

                                                                       left side is 4m inch.

80+80+128-32 = 256 inches

The areas of sectors ACB and DEF are equal. what expression gives the values of x?show your work

Answers

Answer:

I think this is right thanks :)

find the exact value of the composite function show work​

Answers

Answer:

[tex]\frac{2x}{\sqrt{4x^{2} -1} }[/tex]

Step-by-step explanation:

This function can be written as:

[tex]\frac{1}{cos(sin^{-1}(\frac{1}{2x})) }[/tex]

[tex]sin^{-1}(\frac{1}{2x})[/tex] means the angle whose sine is 1/(2x).  This implies that the denominator is the cosine of the angle whose sine is 1/(2x)

Think of a right triangle and consider the angle with this sine.  Then the opposite side has length 1 and the hypotenuse has length  2x.  The Pythagorean theorem then implies that the adjacent side is

[tex]\sqrt{4x^{2} -1}[/tex]

The cosine of the angle is adjacent over hypotenuse, so the cosine is

[tex]\frac{\sqrt{4x^{2} -1}}{2x}[/tex]

The secant is the inverse of the cosine, so the answer is

[tex]\frac{2x}{\sqrt{4x^{2} -1} }[/tex]

Multiply the two polynomials and write your answer in standard form – 3x (4x - 2)​

Answers

Answer:

-12x^2+6x

Step-by-step explanation:

-3x(4x-2)

-12x^2+6x

The standard form of the polynomial is -12x² +6x.

What is a polynomial?

A polynomial is an equation made up of exponents, constants, and variables that is combined using mathematical operations including addition, subtraction, multiplication, and division.

The given expression is  – 3x (4x - 2)​

Solving further,

–3x (4x - 2)​

=-12x² +6x.

The standard form of the polynomial is -12x² +6x after multiplying  – 3x (4x - 2)​

To learn more about the Polynomials;

brainly.com/question/11536910

#SPJ2

Equations from Tables
3. Two campgrounds rent a campsite for one night
according to the following table.
Write an equation for "Sunnyside Campground"
below." DO NOT SOLVE, THAT IS FOR SLIDE #5
Number of campers Sunnyside Campground Green Mountain Campground
1
$58
$40
2
$66
$50
3
$74
$60
4
$82
$70

Answers

Answer:

8

Step-by-step explanation:

Tell whether (4, 27) is a solution of y=3x+15

Answers

Answer:

Yes

Step-by-step explanation:

We have two properties for our question :

(4, 27)

y = 3x + 15

We are being asked whether the point (4, 27) is a solution of y = 3x + 15

So how do we figure this out? Well, what we have to know first that (4, 27)  represents a variable, 4 which is the run on the graph, represents x in a solution. And 27 which is the rise on the graph, represents y in the solution. So when asking for a solution with two points, all we must do is substitute x and y for the two coordinates.

y = 3x + 15

y = 27 and x = 4

27 = 3(4) + 15

27 = 12 + 15

27 = 27

Since this equation is true with the respected variables, therefore signifies that (4,27) is a solution of y = 3x + 15

Answer:

yeee

Step-by-step explanation:

What do you do to solve this equation: 10x
= 36
Divide by 36 on each side
Multiply by 10 on each side
Divide by 10 on each side
Multiply by 36 on each side

Answers

Answer:

Divide by 10 on each side.

The answer is the third option, divide by 10 on each side.

I hope you wouldn't mind giving me brainliest!!

3. A $50 pair of shoes is discounted by 15% What will be the new
price of the shoes?

Answers

Answer:

$42.50

Step-by-step explanation:

15% = .15

50 x .15 = 7.5

50 - 7.5 = 42.5

Two high schools are going on a field trip. One rents 8 vans and 9 buses for 228 students. The other rents 4 vans and 5 buses for 124 students. How many people can you fit in a van? How many people can you fit in a bus?​

Answers

Answer:

No. pp you can fit in a van: 6,

No. pp you can fit in a bus: 20

Step-by-step explanation:

Let v = # of pp in vans, and let b = # of pp in buses:

8v + 9b = 228,

4v + 5b = 124

If we solve this system of equations by substitution, we isolate the first eq. for v and then substitute into the bottom eq:

v = 228-9b/8,

Substitute v = 228-9b/8 into bottom eq:

[4 * 228-9b/8 + 5b = 125]

[228+b/2=124]

[228+b = 248]

[b = 20]

Now substitute 20 to find no. of pp in the vans:

v = 228 - 9(20)/8 = 228  - 180/8 = 48/8 = 6

b. (4,-7)
C. (-7,-10)
2. Tentukan persamaan garis yang melalui titik (12, -8) dan sejajar dengan garis
yang persamaannya sebagai berikut
a. Gy = 4x +18
b. 5x + 2y =14
molalui titik (-18, 7) dan tegak lurus dengan​

Answers

Answer:

b)-3

c)17

d)-11

Step-by-step explanation:

4,-7)

-3

PLZ HELP

What can each term of the equation be multiplied by to eliminate the fractions before solving? LX 5 +27 = 5+x 2 4 16​

Answers

I’m thinking 12. 5 times 12 is 60 which is divisible by 4 and 6. 1 times 12 is 12 which is divisible by 2. Hope that helps

Paige had 18 dollars. She spent 6 of these dollars

Answers

Answer:

It would be 18-6 = 12

Step-by-step explanation:

Answer:

C, E

Step-by-step explanation:

We are looking for 12 dollars as a result of her spending 6 of 18.

A = 24

B = -12

C = 12 CORRECT

D = -24

E = 12 CORRECT

F = -12

Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How much will Colin have after 10 years to the nearest pound?
help quickly​

Answers

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 - 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Maggie says that if the expression was 12÷3to the second power, you would divide before simplifying 3 to the second power. Is she right? Explain

Answers

Answer:

Maggie is incorrect.

Step-by-step explanation:

PEMDAS tells us the order of operations and the steps of solving a mathematical statement. It states that exponents must be performed before multiplication or division.

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Therefore, to solve 12÷3² correctly, 3² needs to be simplified to 9 before dividing.

I hope this helps!

What is the slope of the line that passes through (-12, -5) and (0, -8)?

Answers

Answer:

-3/12

Step-by-step explanation:

will someone please help
2,3 are examples

Answers

Answer:

31, 32, 29, 31

u < 28

Step-by-step explanation:

To find if a value works for an inequality, one has to substitute in the value and simplify. If the resulting equation is true, then the value is a part of the solution set of the inequality.

When simplifying an inequality, one must follow all the same rules as simplifying an equation. The only difference is that when one multiplies or divides by a negative number one must flip the inequality sign for the inequality to remain true. In this case, this rule won't come into play.

[tex]\frac{u}{4}<7[/tex]

*4   *4

u < 28

6×(80÷4+2×3+5)-7 solve​

Answers

Answer:

the answer you can try is

186x-7

Answer:

1853

Step-by-step explanation:

6(80/4+2*3+5)-7, 6(31)-7, 1860-7=1853


7x – 3y = 25
4x+5=y

Answers

Answer:

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:  (−8,−27)

Equation Form: x=−8,y=−27

??????????????????????

Answers

Ex one is x^5-3= x^2
Ex two is 16^2-4=16^-2

Given matrix A below, calculate det[A] twice using minors and cofactors

[tex]A = \left[\begin{array}{ccc}1&2&3\\3&4&5\\6&7&8\end{array}\right][/tex]

Pivot on:
a) row 2, and also
b) column 3

Answers

Answer:

a. 3(16-21) - 4(8-18) +5(7-12) = -15 + 40 - 25 = 0

b. 3(21-24) - 5(7-12) + 8(4-6) = -9 + 25 - 16 = 0

which expression is equivalent to 3(x-2)+2x

A. -x
B. 3x
C. 5x-2
D. 5x-6

Answers

The expression D 5x-6

Find the ratio of x to y.
5x = 8y

Answers

Answer:

x/y = 8/5

x to y is 8/5 I hope this helps

Answer:

It's so simple in the questions.. "Find the ratio of x to y.

5x = 8y"  

Step-by-step explanation:

x = y , 5x = 8y

x : y

5: 8

Its hidden in the question sometimes u just need ur mind on it.

(-1.3x-4.5)−(−2.1x+3.6)
step by step pls

Answers

remove the unnecessary parentheses so it would be -1.3x - 4.5 + 2.1x -3.6. combine the like terms -1.3x & + 2.1x & it becomes 0.8x & then you combine -4.5 -3.6 & it becomes -8.1 so your answer is 0.8x-8.1 !! let me know if that was right

What is 0.000303 in scientific notation

Answers

Answer:

3.03*[tex]10^{-4}[/tex]

Step-by-step explanation:

Tom and Katie are discussing the sequence 3n - 4
Tom says 34 is a term in the sequence.
Katie says 41 is a term in the sequence.​

Answers

Answer:

only katie

Step-by-step explanation:

34 is not a term in the sequence but 41 is, so in this case, only katie is correct

Find the value of x.

Answers

Answer:

C

Step-by-step explanation:

We're given the adjecent and we're looking for the hypotenuse so we'll have to use cosine ratio.

11 / cos 38 = 13.959.....

x = 14.0

We can also use the tangent ratio to look for the opposite and then use pythagorean to find the hypotenuse.

11(tan 38) = 8.594......

8.594.....² + 11² = 194.859......

Square root of 194.859..... = 13.959.......

Find the product of (5ab)(2ab)

Answers

Answer:

10a²b² is the answer

Hope this helps you :)

Answer:

isnt that 10ab??

Step-by-step explanation:

Can you PLEASE HELP ME!!!

Answers

Answer:

The correct answer would be B I believe

Step-by-step explanation:

The correct answer is d

How many 500 mg capsules of an antibiotic are needed to provide a dose
of 25mg/kg/day for a week for a patient weighing 220lb?

Answers

Answer:

If the normal daily dose of the drug for adults is 3 mg/kg/day, administered in three ... Calculate the number of tablets to dispense to a patient weighing 147 lb. ... are needed to provide 50 mg/kg/day for 10 days for a person weighing 176 lb? 160 ... How many milliliters of an injection containing 500 mg per 25 mL

Step-by-step explanation:

ndsvjnvf

pls help meh


6th grade math

Answers

Answer:

% = 50

Step-by-step explanation:

%       9

--   =   --

100    18

Multiply 9 times 100, that equals 900. Divide 900 by 18, which = 50.

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