Two consecutive even whole numbers have a product of 360. What is the smaller of the
two numbers

Answers

Answer 1
let one even number be N
and another even number be N(N+2)

N(N+2)=360
n^2+2n-360=0
n^2+20n-18n-360=0

value of N= -20 ,18
but -20 not accepted
smaller number 18

Related Questions

find the missing side.​

Answers

Answer:

24.8

Step-by-step explanation:

sin75 = 24/x

x = 24/sin75 = 24.8466 = 24.8 (nearest tenth)

Can anyone help plz?

Answers

Answer:

just add a small amount and and square the new number

between 2.82 and 2.83 seems a bit closer

Step-by-step explanation:

x      x^2

2.8         7.84

2.81         7.8961

2.82 7.9524

2.83 8.0089

2.84 8.0656

2.85 8.1225

2.86 8.1796

2.87         8.2369

The area of an isosceles triangle is 52 square inches. The height is 8 in. What is the length of the base?

Answers

Answer:

base = 13 in

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 52 and h = 8 , then

[tex]\frac{1}{2}[/tex] b × 8 = 52

4b = 52 ( divide both sides by 4 )

b = 13

Solve the equation.

Distribute: 4-2(x+7) = 3(x+5)
Combine Terms: 4-2x-14 = 3×+15
-10-2×= 3×+15
+10 +10
_______________
-2× = 3× + 25
-3x -3x
___________________
-5× = +25
÷ -5 ÷ -5
_____________________
ANSWER : x = -5

Part 2 : What is the value of x for the given equation ?
4-2(×+7)=3(×+5)
ANSWER : × = -5 ​

Answers

Answer:

- 5

Step-by-step explanation:

Solve for x

4-2(×+7)=3(×+5)

We open the bracket :

4 - 2x - 14 = 3x + 15

Collect like terms

-2x - 3x = 15 + 14 - 4

-5x = 25

Divide both sides by - 5

-5x/-5 = 25 / - 5

x = - 5

A savings account for a car is set up with an initial balance of $2500, and $100 is added every month
(no other transactions occur on the account).

1. Write the expression:
2. Write the equation equal to(=) $3600 car goal:
3. How many months will it take?

Answers

Answer:

11

Step-by-step explanation:

3600 = 100x+2500

1100 = 100x

x = 11

please explain this to me?​

Answers

Answer:

14cm + 3cm =17cm

Step-by-step explanation:

now find the area

a stone has a mass of 10kg on earth. calculate the weight on the moon. accelaration on the moon is 10 m/s2

Answers

Answer:

Weight of the stone is 100 N

Step-by-step explanation:

[tex]{ \boxed{ \bf{weight = mass \times acceleration}}} \\ { \sf{weight = 10 \times 10}} \\ { \sf{weight = 100 \: newtons}}[/tex]

1_tanA/1+tanA=cotA_1/cotA+1​

Answers

Answer:

here,

L.H.S;

1-tanA / 1+tanA

=1-1/cotA / 1+1/cotA

= cotA-1/cotA / cotA+1/cotA

=cotA-1 / cotA+1

= R.H.S

proved

Answer:

if it's a math proof, i will think this is answer

Step-by-step explanation:

1. Choose the correct algebraic equation to represent: the amount decreased by $9 is $42.

9-m=42

9-m

m-9=42

m-9

Answers

Answer:

m-9=42

Step-by-step explanation:

An amount subtracted by $9 is $42.

(an amount is unknown, so it is represented with variable, m)

m-9=42

Mr mohapi sells your school 500 chairs for 22500. Mr shuma sells your school 200 chairs for 9600. Who sells cheaper chairs

Answers

Answer:

Mr Mohapi is selling cheaper chairs

Step-by-step explanation:

Find the cost per chair from both prices by dividing the total price by the number of chairs:

22500/500

= 45

9600/200

= 48

So, Mr Mohapi is selling at a price of $45 per chair and Mr Shuma is selling at a price of $48 per chair.

Since 45 is smaller than 48, Mr Mohapi's chairs are a better deal.

Mr Mohapi is selling cheaper chairs.

Chọn bốn ví dụ sau Ví dụ nào không phải là phân số
A.3/-5 B.1,7/3 C.0/2 D.-13/-4

Answers

Answer:

a

Step-by-step explanation:

vì số âm không nằm ở dưới

express in kg: 3470 grams
4 kg 8 g​

Answers

Answer:

Step-by-step explanation:

This Makes no sense but this is 4kg and 8g converted to Kg :

4kg - 8g = 4.008 kg

I NEED HELP ASAP!!! i dont understand

Answers

Answer:

b

Step-by-step explanation:

A parabola represents a quadratic equation. For a point called the focus and a line called the directrix, the distance from each point of the parabola to the focus is equal to its distance to the directrix. For example, if the directrix of the parabola was y=0 and the focus was (1,1), the distance between each point on the parabola to (1,1) would be equal to its distance from the line y=0.

For a parabola that has a horizontal axis of symmetry (or when y² is in the equation rather than x²), one way to write its equation is of the form

(y-k)²  =4p(x-h), where (h,k) is the vertex. Now, we can try to match up this form with the equation we have,

y² = 24x

(y-k)² = 4p(x-h)

We can start by setting both sides with y equal to each other, as well as both sides containing x

y² = (y-k)²

square root both sides

y = y-k

k=0

24x = 4p(x-h)

divide both sides by 4

6x = p(x-h)

expand

6x = p*x - p*h

Because p*h does not contain an x value, we can say

6x = p * x

p = 6

6x = p*x - p*h

6x = 6x-6*h

subtract 6x from both sidex

6*h=0

h=0

Our equation is thus

y= 4(6)(x), with our vertex being (0,0) = (h,k)

The directrix is equal to x=h-p, and with p being 6, our directrix is thus

x=0-6 = -6

x=-6

Classify each number as rational or irrational.

Answers

Answer:

π - irrational

0.04053.. - irrational

0.76 - rational

3.565565565 - irrational

-17 - rational

3.275 - rational

Step-by-step explanation:

rational = can express as fraction

irrational = cannot

Joan is cutting a roll of ribbon to be used as bows on gifts. If each bow takes 7/8 of a metre of ribbon and Joan has 7 m total of ribbon, how many bows can be made?

Answers

8 cus if they each take 7/8 then u can get 8


= X
20
100
60

Please help me

Answers

Answer:

x = 100

Step-by-step explanation:

(100-40)/2

= 60/2

= 30

So it's 100

Answered by GAUTHMATH

when a certain number is added to 11 and the result is multiplied by 3, the final result is 45 . find the number​

Answers

Answer:

4

Step-by-step explanation:

Let the number = x

Added to 11 = 11+x

Multiply result by 3 = 3(11+x)

Final result = 45

Solving

3(11 + x) =45

33 +3x = 45

3x= 45-33

3x=12

X=4 by dividing both side by 3

Is the statement at the top true or false

Answers

Answer:

false

Step-by-step explanation:

these angles are horizonal

Write in point-slope form the equation of the line containing the point (4,5) and is perpendicular to the line y=6x-1

Answers

Answer:

y - 5 = -1/6 (x - 4)

Step-by-step explanation:

y = 6x - 1          y = -1/6x + b

y - 5 = -1/6 (x - 4)

solve for θ:

sin(θ-70)=cos(θ)

pls help and explain step by step
thank you ​

Answers

Answer:

Use this rule : cosx = sin (90 - x)

sin( x -70) = sin (90 - x)

x-70 = 90 - x

2x = 160

x = 80

If a moped goes 30 miles per hour, how many hours will it take to travel
217.5 miles?

Answers

It would take 7.25 Hours

217.5/30= 7.25

Answer:

217.5

Step-by-step explanation:

There are two ways to do this problem, first dividing to find the missing value. It will look like this:

217.5 ÷ 30 = 7.25

Or, using random numbers and multiplying it by 30, which is like this:

30 × 10 = 300

30 × 4 = 120

30 × 7 = 210

30 × 7.1 = 213

30 × 7.25 = 217.5

Identify the type of function represented by f(x)=4 x 2^x

Answers

Answer:

exponential growth

Step-by-step explanation:

f(x) is in the form  a* b^x

where a is the initial value and b is the growth/ decay factor

since b > 1 it is growth

This is the exponential form of a function

We have exponential growth

write the equation in point -slope form using this graph

Answers

Step-by-step explanation:

Step 1:  Write the equation using point-slope form

Point-Slope Form:  [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

[tex]y-0=m(x-3)[/tex]

[tex]y = m(x-3)[/tex]

Step 2:  Find the slope

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{-2-0}{-2-(-3)}[/tex]

[tex]m=\frac{-2}{1}[/tex]

[tex]m=-2[/tex]

Step 3:  Combine them together

[tex]y = m(x - 3)[/tex]

y = -2(x - 3)

IF NEEDED:  Completely factor

[tex]y = (-2 * x) + (-2 * -3)[/tex]

y = -2x + 6

y' = (x+1/[tex]\sqrt{x^{2} +1[/tex]

Answers

Answer:

Solving for x (rearranging) you get:

(x^3+x+(x^2+1)^1/2)/x^2+1=y

Step-by-step explanation:

Solve for x by simplifying both sides of the equation and solving for y by isolating y

6. Márcia cortou quatro tiras retangulares de mesma largura, cada qual de um dos lados de uma folha de papel que media 30 cm por 40 cm. O pedaço de papel que sobrou tem 68% da área da folha original. Qual é a largura das tiras? A) 5 cm B) 4 cm C) 3 cm D) 2 cm E) 1 cm 40 30 5 10 D) 10 E) 5​

Answers

Answer:

b

Step-by-step explanation:

i had it

Find the length of side x in simplest radical form with a rational denominator.
4.
609
30°
x
C
Answer: <=
Submit Answer

attempt 1 out of
I really need help with this

Answers

Answer:

x=2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 30 = x/4

4 sin 30 =x

4 ( 1/2) =x

2 =x

find the value of the trigonometric ratio. make sure to simplify if its needed.​

Answers

Answer:

12/5

Step-by-step explanation:

Tan Z

= opposite/adjacent

= 24/10

= 12/5

Answered by GAUTHMATH

A random walk process for a single stock consists of the toss of a fair coin at the end of each day. If the outcome is heads, the stock price increases by 1.25 percent. If the outcome is tails, the stock price decreases by 0.75 percent. What is the drift of such a process

Answers

Answer:

+0.25

Step-by-step explanation:

Calculation to determine the drift of such a process

Using this formula

Drift=(Increases in stock price*50%)- (Decreases in stock price *50%)

Let plug in the formula

Drift = (0.5)(1.25) + (0.5)(-0.75)

Drift =0.625+ (0.375)

Drift = +0.25%

Therefore the drift of such a process is +0.25

What is the measure of n?

Answers

Answer:

m = 10, n = [tex]\sqrt{75}[/tex]

Step-by-step explanation:

We know that the value of an altitude of a right triangle is the square root of the values that the altitude split multiplied together (or the square root of the value of the bases multiplied together).

The values here would be 5 and 15. 5 times 15 is 75, so the value of the altitude is the square root of 75. To find the value of m, we can use the Pythagorean theorem, where 5 and n are the legs and m is the hypotenuse. We already know the value of n, so we can plug that into the Pythagorean theorem:

[tex]5^2+(\sqrt{75})^2=m^2[/tex]

We know 5 squared is 25, and the square of the square root of 75 is 75, and 75 + 25 is 100.

[tex]m^2=100[/tex]

This means that m is equal 10, because the square root of 100 is m.

WHO KNOWS HOW TO DO THIS!!!!!​

Answers

Answer:

Step-by-step explanation:

Scale factor is 2. 6/3=2, 8/4=2. So it’s 1/2

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