The sum of two numbers is 72.The difference is 40.Find the number

Answer:

yes

Step-by-step explanation:

if we divide both terms of 60 and 45 by 15, we can simplify it to 4:3.

Answer:

the first answer should be the answer of second one, and the first answer is "s + t = 28"

the third questions answer is 28 t shirts and 4 sweatshirts.

and the forth question answer is 4 sweatshirts.

I hope this helps.

Answer:

500: starting amount

(1 + 0.02): interest/growth rate

x: time

Step-by-step explanation:

[tex]\sqrt{3} - \frac{2}{\sqrt{3} } = \frac{3}{\sqrt{3} } - \frac{2}{\sqrt{3} } = \frac{1}{\sqrt{3} } = \frac{\sqrt{3} }{3}[/tex]

ok done. thank to me :>

Answer:

The answer is 426.72.

Step-by-step explanation:

Take the number 14.46 and divide it by 5, and after that take that number and multiple it by 16.

Answer:

It is a geometric sequence and the common scale factor is [tex]\frac{2}{3}[/tex].

Step-by-step explanation:

In an arithmetic sequence, the difference between consecutive terms is always the same.

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.

In a geometric sequence, each consecutive term was multiplied by some factor over the last.

[tex]a_n=ax^n^-^1[/tex]

where aₙ is the nth term, n is the index, and x is the scale factor.

In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by [tex]\frac{2}{3}[/tex] over the last.

The formula for this sequence would be:

[tex]a_n=a\frac{2}{3} ^{n-1}[/tex]

Answer:

r = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

If the sequence is geometric then there will be a common ratio r between consecutive terms , that is

r = a₂ ÷ a₁ = a₃ ÷ a₂ = a₄ ÷ a₃

Then

a₂ ÷ a₁ = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{9}[/tex] × 3 = [tex]\frac{2}{3}[/tex]

a₃ ÷ a₂ = [tex]\frac{4}{27}[/tex] ÷ [tex]\frac{2}{9}[/tex] = [tex]\frac{4}{27}[/tex] × [tex]\frac{9}{2}[/tex] = [tex]\frac{2}{3}[/tex]

a₄ ÷ a₃ = [tex]\frac{8}{81}[/tex] ÷ [tex]\frac{4}{27}[/tex] = [tex]\frac{8}{81}[/tex] × [tex]\frac{27}{4}[/tex] = [tex]\frac{2}{3}[/tex]

Then sequence is geometric with common ratio r = [tex]\frac{2}{3}[/tex]

Answer:

30.4 km/h

Step-by-step explanation:

Ajoba: 45 miles = 72 km ; 2.5 hours

Prav: 74 km ; 1 hour 15 min = [tex]\frac{5}{4}[/tex] hours

Ajoba's average speed: 72 ÷ 2.5 = 28.8 km/h

Prav's average speed: 74 ÷ [tex]\frac{5}{4}[/tex] = 59.2 km/h

Difference: 59.2 - 28.8 = 30.4 km/h

Answer:

Step-by-step explanation:

The equation:

Answer:

sine 60 = x / 8

(8 * 0.86603) = x

x = 6.92824

Step-by-step explanation:

Answer: perpendicular

Step-by-step explanation: an opposite reciprocal makes it perpendicular.

example

1/2 and -2 are opposite reciprocals

1/2 and 1/2 are parallel

1/2 and -4/3 are neither

Answer:

The answer is perpendicular

Answer:

$13.80

Step-by-step explanation:

69 · 20% = 13.8

Answer:

1 time

Step-by-step explanation:

( x - 2 )² + ( y + 4 )² = 49

.........................................

Answer:

His hourly rate is $8.15.

Step-by-step explanation:

The hourly rate is how much he earns in one hour. We know how much he earns in 42 hours ($342.3).

So what we need to do is to divide that amount ($342.3) by 42.

And we get $8.15.

Answer:

the slope is

2/3x+2

Hope This Helps!!!

The number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We need to find the number of ways a four letter password can be made The first letter is fixed to be a vowel.

There are 10 vowels (5 of lowercase and 5 of upper case).

Thus, 10 ways of choosing the first letter.

Second letter can be any of the 52 letters(26 of lowercase and 26 of uppercase).

Similarly, third and fourth letter can be any of the 52 letters.

Thus, using the product rule, the number of ways of making the four letter password is:

[tex]N = 10 \times 52 \times 52 \times 52 = 1406080[/tex]

(the answer can be different if we consider only either lowercase letters or only upper case letters. In those cases, there would be [tex]5 \times 26^3 = 87880[/tex] ways to make such passwords).

We used product rule, since we wanted to do the choosing of all the four letters for password, and we knew the number of ways each of them can be done individually.

Thus,  the number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080

Learn more about rule of product combinations here:

https://brainly.com/question/2763785

Answer:

No.

Step-by-step explanation:

3/4 = 0.75.

=> 0.75 < 1

Hoped this helped.

Answer:

ask your momma or dad bozo!!!!!!

Step-by-step explanation:

Show all the calculation if it is a numerical question.

Answer:

1) a number squared, reduced by 12

2) the quantity of twice a number divided by 3, increased by 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first expression reads "x squared less (or minus) 12."

The second expression becomes "the quotient 2x/3 plus one."    Note that 2x/3 must be computed before "one" is added, due to order of operations rules.

The third expression reads "8 less than the cube of x."

m=3-1/3+2=2/5

Equation of line in point slope. form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]

[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]

[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]

[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]

The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

The slope of a line is defined as the angle of the line.

Given that line passes through the points (-2, 1) and (3, 3)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -2, y₁ = 1

x₂ = 3, y₂ = 3

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]

⇒ y - 1 = (2)/(5)[x+2]

⇒ y - 1 = 2/5(x -3)

⇒ y = (2/5)x - 6/5 + 1

⇒ y = (2/5)x - 1/5

Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).

Learn more about the Lines here:

brainly.com/question/14511992

#SPJ2

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[tex]\large\bold{Equation:}[/tex]

[tex]\large\bold{Solution:}[/tex]

Let's solve for f

[tex]\large\sf{F(4p + 3) = 8 - 5(4p + 3)}[/tex]

1st step: Factor out variable f

2nd step: Divide both sides by 4p+3

[tex]\large\bold{Answer:}[/tex]

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How is it? Hope you appreciate and understand my answer. Have a great and nice day ahead!!

^^

Answer:

a) 180°

b) 360°

c) 180° (Interior angles)

d) 180°

e) (n-2)180

f) Equal

g) Equal

h) Equal

Step-by-step explanation:

Step-by-step explanation:

x=8 this is the answer have a nice night or day!

Answer:  f(2) is 3.

Step-by-step explanation:

f(2) just means "what is the vale of the function, f, when x = 2?  Look for x=2 and read the y value where the line crosses x=2, in this case, the y value is 3.  So f(2) = 3.

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[One could also determine the equation for the line.  Provided below.]  

The slope is -(1/2) and the y-intercept is 4:

y = -(1/2)x + 4

For x=2,

y = -(1/2)*(2) + 4

y = 3  

y(2) = 3  

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

301.75$

Step-by-step explanation:

have a good day