45 +2.50m = 3.75m
what is the answer

Answer:

Step-by-step explanation:

Let the initial money deposited in the account be x:

If he added $54 to the amount he started with in his account, the expression will become:

x+54

If the sum is tripled, we will have:

3(x+54)

Since the balance an-mount is $381, the final equation will give:

3(x+54) = 381

The equation that represents the situation is 3(x+54) = 381

Next is to calculate x:

3(x+54) = 381

open the parenthesis

3x+162 = 381

3x = 381 - 162

3x = 219

x = 219/3

x = 73

Hence the original amount in his account is $73

Answer:

-4

Step-by-step explanation:

5 times negative -2 is -10 and you just add 6 so the answer is -4

The value of 5x + 6 when x = -2 will be -4.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is the following expression -

5x + 6

Given is the following expression -

5x + 6

At x = -2, we can evaluate the expression as -

5x + 6

5 x -2 + 6

-10 + 6

-4

Therefore, the value of 5x + 6 when x = -2 will be -4.

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Sorry I think the picture is blocked so I can't see it

Answer : x = 4

Step-by-step explanation:

Area = 1/2 × base × height

Area= 200cm²

base = 5x

height = 5x

200cm² = 1/2 × base × height

200 = 1/2 × 5x × 5x

200 = 1/2 × 25x²

2( 200) = 25x²

400 = 25x²

16 = x²

4 = x

Answer:  " x = 4 " .

______________________________________

Step-by-step explanation:

______________________________________

The formula for the area of a triangle:

             Area, "A" = (1/2) * base * height;

          that is:   A = (1/2) * b * h ;

From our given problem and image/diagram:

    A = 200 cm² ;

          b = 5x ;

          h = 5x ;

We are asked to find the value for "x" ;

 A = (1/2) * b * h ;

Plug in our known values:

 200 cm² = (1/2) * 5x * 5x ;

Simplify:

 200 cm²  = (1/2)*(25x²) ;

 200 cm² = (12.5)x² ;

⇔  (12.5)x² = 200 cm² ;

Divide each side by:  " (12.5)" ;

     (12.5)x² / (12.5)  = (200 cm²)/(12.5) ;

to get:   x² = 16 ;

Take the positive square root of each side of the equation; to get the value for "x" ;

   ⁺ [tex]\sqrt{x^{2} } =[/tex] ⁺ [tex]\sqrt{16}[/tex] ;

to get:

  x = 4 .

________________________

Good luck to you in your academic endeavors!

________________________

Answer:

they each way 2.6 kilograms

Answer:

(-1,9) (0,3), (1,-3), (2,-9)

Step-by-step explanation:

y intercept is -3

slope is -6, so you would go down by 6 and right by 1.

Answer:

The coordinates to graph this would be (-1,9) (0,3) (1,-3) (2,-9)

9514 1404 393

Answer:

Step-by-step explanation:

It can help to draw a figure.

The altitude of this isosceles triangle is 8 units, and it splits the base into equal lengths of 3 units. Using the Pythagorean theorem, we find the length of a side to be ...

  BC = AC = √(3² +8²) = √73

The perimeter is the sum of the lengths of those two sides and the base:

  P = 2(√73) +6 ≈ 23.088 . . . units

The area is given by the formula ...

  A = 1/2bh

  A = (1/2)(6 units)(8 untis) = 24 units²

__

The perimeter is 6+2√73 ≈ 23.09 units.

The area is 24 units².

Answer:

x=7 valid solution

x=4 extraneous solution

Step-by-step explanation:

sqrt( x-3) +5 = x

Subtract 5 from each side

sqrt( x-3) +5 -5= x-5

sqrt( x-3)  = x-5

Square each side

(sqrt( x-3))^2 = (x-5)^2

Foil the right side ( x-5)(x-5) =x^2 -5x-5x+25 = x^2 -10x+25

x-3 = x^2 -10x+25

Subtract x from each side

-3 = x^2 -10x -x+25

Add 3 to each side

0 = x^2 -11x +25 +3

0 = x^2 -11x+28

Factor

0 = (x-7)(x-4)

Using the zero product property

x-7 =0  x-4=0

x=7  x=4

Check the solutions

sqrt( x-3) +5 = x

x=7

sqrt( 7-3) +5 = 7

sqrt(4) +5 = 7

2 +5 = 7  valid solution

x=4

sqrt( 4-3) +5 = 4

sqrt(1) +5 = 4

1 +5 = 4    not true   extraneous solution

Answer:

The difference of two odd number is always even as seen below.

Step-by-step explanation:

First odd number = x

Second odd number = x + 2

Third odd number = x + 4

Therefore

(x + 4) - (x + 2) = x

Where x is any odd number

Using 1 :

(1 + 4) - (1+2)

5 - 3 = 2

2 is not an odd number

We can say the difference of two odd number is always even

Answer:

C

Step-by-step explanation:

given the fact that the other side measures all multiply by 4 when they are enlarged in the second shape, we know that the scale factor is 4. 3 enlarged by a scale factor of 4 = 12

Answer:

I would think 2222

Step-by-step explanation:

Between the three numbers, that four-digit number is the greatest.

(Apologies if not correct)

Answer:

It's A.

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

1,000 / 100 = 10

Answer:

Neither Dom or Riley is correct

Step-by-step explanation:

The change in temperature between 12PM and 6AM can be obtained by subtracting the 12PM temperature from the 6AM temperature because temperature increases as the hours of the day go by.

To carry out this subtraction on the number line, the following steps should be taken;

(i) Mark the numbers corresponding to 6AM and 12PM temperatures on same number line.

(ii) From the number corresponding to the 12 PM temperature, find out how many steps that are needed to reach the position of the number corresponding to the 6AM temperature.

This number of steps represents the temperature change between the 12PM temperature and the 6 AM temperature.

Answer:

A

Step-by-step explanation:

Inverse means that the function is reversed from the original function, f(x).

To find the inverse function of f(x)=5x-11, add 11 to x, then divide the expression by 5.

This would be (x+11)/5.

So, you know that A is true.

Try the other selections too.

B: [tex]g(x)=x^3/2[/tex]       The x should be tripled before being divided by 2; FALSE

C: [tex]g(x)=7/(x+9)[/tex]     7 should by in the numerator; FALSE

D: [tex]g(x)=6(x+8)[/tex]    8 should be added before being multiplied by 6; FALSE

I hope this helps!!!

Using composite functions, it is found that the pair of functions that are inverse of each other is given by:

A. [tex]f(x) = 5x - 11[/tex] and [tex]g(x) = \frac{x + 11}{5}[/tex]

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

The composite of functions f and g is given by:

[tex](f \circ g)(x) = f(g(x))[/tex]

Two functions f and g are inverse of each other if:

[tex]f(g(x)) = g(f(x)) = x[/tex]

Item a:

[tex]f(x) = 5x - 11[/tex]

[tex]g(x) = \frac{x + 11}{5}[/tex]

[tex]f(g(x)) = f(\frac{x + 11}{5}) = 5(\frac{x + 11}{5}) - 11 = x + 11 - 11 = x[/tex]

[tex]g(f(x)) = g(5x - 11) = \frac{5x - 11 + 11}{5} = \frac{5x}{5} = x[/tex]

Since [tex]f(g(x)) = g(f(x)) = x[/tex], these functions are inverse of each other.

A similar problem is given at https://brainly.com/question/23458455

Answer:

? = 40°

Step-by-step explanation:

100° = 60° + ? (The exterior angle property of triangles)

100° - 60° = ? (By the law of transposition)

40° = ?

If my answer helped, kindly mark me as the brainliest!

Thank You!

Answer:

the missing angle is 40

Step-by-step explanation:

let the missing angle be x

then x+ 60 = 100 using (exterior angle property)

so x= 100-60 which is equal to 40.  

hope this helps u buddy..

Answer:

107 and 4/5 or 107.8

Step-by-step explanation:

14 times 38.5 is 539.

539 times 1/5 is 107 and 4/5 or 107.8

Answer:

$106.73

Step-by-step explanation:

14 x 38 ½ = 533.68

533.68 ÷ 5 = 106.73.   Keyleanis paid Claudia $106.73

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

10 + 3(7)

10 + 21

= 31

Answer:

31

Step-by-step explanation:

You can use BODMAS rule here to Simplify an expression and do not have to worry about which to do first multiply or addition.

2(5) + 3(4+3)

= 10 + 3(7)

= 10 + 21

=31

Answer:

(-1,-5)

Step-by-step explanation:

Answer:

HMM C..... Answer:  Choice C.   (-1, -5)

Step-by-step explanation:

The reflection rule we use is

when we want to reflect over the y axis. The x coordinate flips from positive to negative, or vice versa, while the y coordinate stays the same.

Answer:

[tex](-∞,1) , (0,\frac{7}{4})[/tex]

Step-by-step explanation:

Factor:

x(4x³-3x-7)<0

Answer:

three shirts an hour

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

to find perpendicular slope, flip the number and the sign

Answer:

614656h²⁸k⁸

Step-by-step explanation:

Exponent Power Rule: [tex](b^m)^n=b^{mn}[/tex]

Step 1: Write expression

[4h⁷7k²]⁴

Step 2: Distribute power 4 to each term

4⁴h⁷⁽⁴⁾7⁴k²⁽⁴⁾

Step 3: Simplify

256h⁷⁽⁴⁾2401k²⁽⁴⁾

614656h⁷⁽⁴⁾k²⁽⁴⁾

Step 4: Use Exponent Rule

614656h²⁸k⁸

Yes it is possible. We could draw a trapezoid that has 2 right angles as shown below. A trapezoid has only one pair of parallel sides. A parallelogram needs both pairs of opposite sides to be parallel.

Yes, it is conceivable. As shown below, we could draw a trapezoid with two right angles.

A quadrilateral is a four-sided polygon with four edges and four corners in geometry. A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are known as the trapezoid's bases.

Yes, it is conceivable. As shown below, we could draw a trapezoid with two right angles. A trapezoid has only one parallel pair of sides. Both pairs of opposite sides of a parallelogram must be parallel.

The shape of the required quadrilateral is attached with the answer below.

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Answer:

8.8 x 10 to the power of 6

Step-by-step explanation:

Answer:

[tex]130.2845\leq h\leq 137.7245[/tex]

Step-by-step explanation:

Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation

[tex]|h - (2.47f + 54.10)| \leq 3.72[/tex]

If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:

[tex]|h - (2.47(32.25) + 54.10)| \leq 3.72\\|h - (79.9045 + 54.10)| \leq 3.72\\|h - (134.0045)| \leq 3.72\\[/tex]

If the modulus function is positive then:

[tex]h - 134.0045 \leq 3.72\\h \leq 3.71+134.0045\\h\leq 137.7245[/tex]

If the modulus function is negative then:

[tex]-(h - 134.0045) \leq 3.72\\-h+134.0045 \leq 3.72\\-h\leq 3.72-134.0045\\-h\leq -130.2845\\[/tex]

multiply through by -1

[tex]-(-h)\geq -(-130.2845)\\h\geq 130.2845\\130.2845\leq h[/tex]

combining the resulting inequalities, the estimate of the possible range of heights will be [tex]130.2845\leq h\leq 137.7245[/tex]

Step-by-step explanation:

(x^2+1/2)^2=(x^2)^2+2*x^2*1/2+(1/2)^2=

x^4+(2x^2)/2+1/4=

x^4+x^2+1/4

Answer:

x^4 + x^2 + 1/4

Step-by-step explanation:

[tex] {( {x}^{2} + \frac{1}{2} })^{2}[/tex]

a = x^2

b = 1/2

[tex] {a}^{2} + 2ab + {b}^{2} [/tex]

[tex] ({x {}^{2}) }^{2} + 2( {x}^{2} )( \frac{1}{2} ) + { \frac{1}{2} }^{2} [/tex]

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

Answer: Hola, ila munkililakum ghithishalan fee mabruk ilal habeebi