The sum of a number and three is forty-one.Find the number

Answer:

MC =37.5

Step-by-step explanation:

In [tex] \triangle ABC,\: \angle B = 90\degree [/tex] and [tex] BM \perp AC.[/tex]

[tex] \therefore \angle AMB = 90\degree [/tex]

By Pythagoras Theorem:

[tex]AM^2 + BM^2 = AB^2 \\

BM^2 = AB^2 - AM^2 \\ BM^2 = {10}^{2} - {2.5}^{2} \\ BM^2 = 100 -6.25 \\ \red{BM^2 = 93.75} \\ now \: by \: geometric \: mean \: theorem : \\ BM^2 =AM \times MC \\ 93.75 = 2.5\times MC \\MC = \frac{93.75}{2.5} \\ \huge \orange{ \boxed{ MC =37.5}} \\ [/tex]

Answer:

lemme guess algebra test?

Step-by-step explanation:

Answer:

D) 3 X 10⁷

Step-by-step explanation:

Estimated days:

Best estimate is D) 3 X 10⁷

Answer:

Step-by-step explanation:

equation given:   a - 2(4 - a) = 7a - 12

distribute and expand the equation

a - 8 + 2a = 7a - 12

combine similar terms:

a + 2a - 7a = -12 + 8

simplify:

-4a = -4

a = -4 / -4

proof that a = 1

a - 2(4 - a) = 7a - 12

1 - 2(4 - 1) = 7(1) - 12

1 - 2(3) = 7 - 12

1 - 6 = -5

-5 = -5  therefore, the a = 1 is correct.

Steps to solve:

a - 2(4 - a) = 7a - 12

~Distribute left side

a - 8 - 2a = 7a - 12

~Combine like terms on the left side

-a - 8 = 7a - 12

~Add 8 to both sides

-a = 7a - 4

~Subtract 7a to both sides

-8a = -4

~Divide -8 to both sides

a = 1/2

Best of Luck!

Answer:

f^-1(x) = x - 5

Step-by-step explanation:

f(x) = x + 5

y = x + 5

x = y + 5

y = x - 5

f^-1(x) = x - 5

Answer:

f^ -1(x) = x - 5

Step-by-step explanation:

y =x+5

To find the inverse, exchange x and y

x = y+5

Solve for y

Subtract 5 from each side

x-5 = y+5-5

x-5 = y

The inverse is  x-5

Answer:

4×102 +5×101 +6×100 +8 × 10-1 +1 × 10-2

I hope that made sense lol

Answer:

400 + 50 + 6 + 0.8 + 0.01

Step-by-step explanation:

This is the answer because:

1) Expanded form means to write a number with its full value. It is shown as a sum of each digit multiplied by its matching place value

2) Therefore, the answer is 400 + 50 + 6 + 0.8 + 0.01

Hope this helps!

Answer is 12

I hope this helps enough

Answer:

-11

Step-by-step explanation:

assuming 4x-3 = f(x) and the other equation = g(x)

(4x-3) - (x^2 +2x)

(4(4)-3) - (4^2 +2(4)

(16-3)-(16+8)

(13)-(24)

-11

Answer:

Step-by-step explanation:

22 - 55 + 4x = 2x + 7

4x - 33 = 2x + 7

2x - 33 = 7

2x = 40

x= 20

22 - 55 + 4(20) = 2(20) + 7

80 - 33   = 40 + 7

  47 = 47

answer is B

Answer:

The answer is B

Step-by-step explanation:

Answer:

-8b -32

Step-by-step explanation:

8 (-b-4)

Distribute

-8*b -4*8

-8b -32

Answer:

(2,2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

each mark represents 0.25

Decimal value positioned at point B is -2.25

A number system is defined as a system of writing to express numbers.

A number line can be defined as a pictorial representation of numbers on a straight line.

In the given number line each line represents 0.25 (zero point two five value).

As B is in between -2 and -3.

So B value is between minus two and minus three

The values which can be between -2 and -3 are -2.25, -2.5, -2.75.

The decimal value positioned at point B is -2.25

Hence decimal value positioned at point B is -2.25

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Answer:18.5m

1m=100cm

Let lenght of streamers in meters be x

Then(1/100)=(x/1850)

(1850/100)=x

18.5m=x

Answer:

A.

Step-by-step explanation:

Small pizza would have 12 toppings. Becuase $9.00 divided by 0.75 is 12. Meaning there would be 12 toppings on a small pizza.-E.A.

Answer:

6

Step-by-step explanation:

2x=-3y+12

x=-3/2x+6

6 is zero

Answer:

x/the zero=6

Step-by-step explanation:

Make the y zero

2x+3(0)=12

Hope this helps please mark me Brainiest

then you're left with 2x=12

dived from both sides

x=6

Answer:

Five hundred twenty-five thousand six hundred

Step-by-step explanation: I am assuming you mean word form?

Answer:

five hundred twenty-five thousand, six hundred

Step-by-step explanation:

Answer:

R(t)=10+0.50t

Step-by-step explanation:

His rate is based on time, for the first side of the equation.

His beginning pay would be 10, so 10 would act as the y intercept. The rate increases by 0.50, so for every year (t) it would increase by 0.50, why you add 0.50 and multiply by the amount of years he works.

Answer:

Step-by-step explanation:

[tex] - 3 {f}^{3} + \frac{1}{6} MB = D [/tex]

Multiply through by 6 to eliminate the fraction

That's

[tex] - 18 {f}^{3} + MB = 6D[/tex]

Move - 18f³ to the right side of the equation

That's

[tex]MB = 6D + 18 {f}^{3} [/tex]

Divide both sides by M to make B stand alone

That's

[tex] \frac{MB}{M} = \frac{6D + 18 {f}^{3} }{M} [/tex]

We have the final answer as

[tex]B = \frac{6D + 18 {f}^{3} }{M} [/tex]

Hope this helps you

Answer: y = | x-2 | - 1

Step-by-step explanation:

If you graph or look at the numbers included, they match up with the one provided

Answer: The answer is D 2,6000.00

Answer:

D

Step-by-step explanation:

3 / (4/9)

First, let's multiply the top and bottom by 9 to get rid of the fraction in the denominator.

27 / 4 is the final answer.

Answer:

31/9

Step-by-step explanation:

3 4/9 as an improper fraction is 31/9.

We get our answer by multiplying the denominator of the mixed numbers by its whole number and adding that answer to its numerator. We get 31, and we put that over the denominator.

3 4/9

9x3=27

27+4=31

31/9

Answer:

x=12

Step-by-step explanation:

plug in 12 to x and results will make sense

Answer:

[tex] - 2 - 7 = 3v[/tex]

or,

[tex] - 9 = 3v[/tex]

or,

[tex] - 9 \div 3 = v[/tex]

or,

[tex] -3 = v[/tex]

or,

[tex]v = - 3[/tex]

Answer:

Points are Labeled with capital Letters, such aa P.

Answer:

Between $59.50 and $61.50

Step-by-step explanation:

Since this is about, we have to round the numbers.

85.58 is rounded to 86

24.98 is rounded to 25

2.49 is rounded to 2.50

Therefore:

86 - 25 - 2.50 = 59.50

So the correct answer is #3

Multiply both sides by negative four to get rid of the fraction

j+18=-32

subtract 18

j=-50

Answer:

I'd say about 30 minutes away

Step-by-step explanation:

Simplify 6 - 8 to -2

n + 1 = 4 * -2

Simplify 4 * - 2 to -8

n + 1 = -8

Subtract 1 from both sides

n = -8 - 1

Simplify -8 - 1 to -9

n = -9

Check answer:

n + 1 = 4(6 - 8)

Let n = -9

-9 + 1 = 4 * (6 - 8)

Simplify 6 - 8 to -2

-9 + 1 = 4 * -2

Simplify 4 * -2 to -8

-9 + 1 = 8

n = 8

Answer:

n=9

Step-by-step explanation:

n+1=4(6-8)

We move all terms to the left:

n+1-(4(6-8))=0

We add all the numbers together, and all the variables

n+1-(4(-2))=0

We add all the numbers together, and all the variables

n+9=0

We move all terms containing n to the left, all other terms to the right

n=9

The answer should be n=9

Answer:

The three options are;

1) If p = a number is negative and q = the additive inverse is positive, the original statement is p → q

2) If p = a number is negative and q = the additive inverse is positive, the original statement the inverse of the original statement is ~p → ~q

3) If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q

Step-by-step explanation:

Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p

Mathematically, we have;

The given conditional statement;

If a number is negative, the additive inverse is positive which can be expressed as follows;

The conditional statement is p → q

The converse statement is q → p

The inverse statement is ~p → ~q

The contrapositive statement is ~q → ~p

Therefore, we have;

1) The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is therefore p → q

2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is therefore, ~p → ~q

3) If q = a number is negative and p = the additive inverse is positive, the original statement, which is a conditional statement is therefore, q → p, the contrapositive of the original conditional statement  is therefore ~p → ~q.

The three options are;

1) If p = a number is negative and q = the additive inverse is positive, the original statement is p → q

2) If p = a number is negative and q = the additive inverse is positive, the original statement the inverse of the original statement is ~p → ~q

3) If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q

The additive inverse of any number is defined as when it is added to the number it gives zero as a result.

Given a statement if p then q, we have, p → q. The converse of the original statement is then, if q, then p while the inverse of the original statement is then if not p then not q, and the contrapositive statement is then if not q then not p

Mathematically, we have;

The given conditional statement;

If a number is negative, the additive inverse is positive which can be expressed as follows;

The conditional statement is p → q

The converse statement is q → p

The inverse statement is ~p → ~q

The contrapositive statement is ~q → ~p

Therefore, we have;

1) In The conditional statement, if p = a number is negative and q = the additive inverse is positive, the original statement which is a conditional statement is, therefore, p → q

2) If p = a number is negative and q = the additive inverse is positive, the original statement, which is a conditional statement is p → q, the inverse of the original conditional statement is, therefore, ~p → ~q

3) If q = a number is negative and p = the additive inverse is positive, the original statement, which is a conditional statement is, therefore, q → p, the contrapositive of the original conditional statement is, therefore, ~p → ~q

To know more about Additive inverse follow

https://brainly.com/question/1548537

#SPJ5