What is the simplest form of the fraction below?
16/24

Answer:

The possible locations are;

(3, 4), (3, 12), (7, 4), and (7, 12)

Please find attached the plot of the points created with Microsoft Excel      

Step-by-step explanation:

The given parameters of the plot of Oliver's backyard are;

The area of the right triangular plant bed Oliver wants to design, A = 8 yd²

The length of a/each unit of the plot = 1 yard

The location of one of the vertex of the right triangular area = (3, 8)

The location of the other vertex of the right triangular area = (7, 8)

We note that the area of a triangle, A = 1/2 × Base length, B × Height, h

Let the distance between the two plotted point represent the base length, 'B', therefore;

B = 7 - 3 = 4 (We subtract only the x-values (7 and 3) given that the y-values (8 and 8) are the same;

Therefore, the base length, B = 4 yards

A = 1/2 × B × h

∴ A = 8 yd.² = 1/2 × 4 yd. × h

h = 8 yd.²/ 2 yd. = 4 yd.

The height of the right triangle, h = 4 yd.

Therefore the possible locations of the last vertex the right triangle on the coordinate plane, given that the first two points are parallel with the x-axis, are points 4 units above or the y-axis value of the plotted points with the x-value of the last vertex being either 3, or 7 as follows;

(3, 8 ± 4) or (7, 8 ± 4) which give points, (3, 4), (3, 12), (7, 4), and (7, 12).

Answer:

3,4 7,4

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

They're technically asking you to find the missing angle. 61+57 is 118. 180-118 is 62. Since they're asking  2x, you do 62 divided by 2, which is 31.

Answer:

C

Step-by-step explanation:

the inverse of x+3 is x-3

The value of the inverse of the function f(x) = x +3 is,

⇒ h (x) = x - 3

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x)= x + 3

Now, We can find the inverse function as;

⇒ f (x) = x + 3

⇒ y = x + 3

Solve for x;

⇒ x = y - 3

Substitute y = x and x = h (x);

⇒ h (x) = x - 3

Thus, The value of the inverse of the function f(x) = x +3 is,

⇒ h (x) = x - 3

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Answer:

arc EI = 103°

arc EGI = 257°

Step-by-step explanation:

arc HI = 77° because they are alternate angles

arc EI = (360° - 77° - 77°)/2 = 103°

arc EGI = 360° - 103° = 257°

4/14 does not = 6/20

2/12 does not = 3/18

Thus, NEITHER is the answer.

Answer:

The expression is A that is -b

Answer:

hello your question is incomplete attached below is the complete question

answer : option A

Step-by-step explanation:

The correct box-and-whisker plot is option A

75% is between 1st quartile and maximum value ( age )

also given that No one is older than 36 years and About 50% of the member are at least 28 years hence option A is the correct Box and whisker plot

The exponential function is given by f(x) = 7ˣ

An exponential function is in the form:

y = abˣ

Where a is the initial value of y, b is the multiplier, y and x are variables.

Given the y-intercept is (0,1), hence:

1 = ab⁰

a = 1

Also f(2) = 49, hence:

49 = (1)(b)²

b = 7

The exponential function is given by f(x) = 7ˣ

Find out more on Exponential Function at: https://brainly.com/question/12940982

Answer:

Step-by-step explanation:

Dimensions:

Area is:

Answer:

$198

Step-by-step explanation:

Take 220 then multiply it by .10 (10%)=22

Then subtract that from 220

220*.10=22

220-22=198

Answer:

4/3 or 1 1/3

Step-by-step explanation:

Answer:

B) <

Step-by-step explanation:

b is the answer because -1 is bigger than 0 so, the answer is b.

Answer:

2x-6

Step-by-step explanation:

4(3x-5)-2(5x-7)

(12x-20)-(10x-14)

12x-20-10x+14

12x-10x-20+14

2x-6

Answer:

=> first multiply the numbers in bracket

4(3x-5)-2(5x-7) when we multiply for 4 and -2

12x-20-10x+14

=> then collect the like terms

12x-10x-20+14

=> 2x-6

Answer:

3rd option:  2 1/2 ÷ 1/6

Step-by-step explanation:

2 1/2 ÷ 1/6 = 5/2 × 6/1 = 15mph

Answer:

h = 17 units

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁ , b₂ the parallel bases

Here A = 408, b₁ = 20, b₂ = 28 , then

[tex]\frac{1}{2}[/tex] h (20 + 28) = 408 ( multiply both sides by 2 to clear the fraction )

48h = 816 ( divide both sides by 48 )

h = 17

Answer:

I think the surface area is 382.

Answer:

14

Step-by-step explanation:

7(8-6)

So, PEMDAS

7(2)= 14

14 is the answer.

Answer:

Simplifying

8x + 17 = 137

Reorder the terms:

17 + 8x = 137

Solving

17 + 8x = 137

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-17' to each side of the equation.

17 + -17 + 8x = 137 + -17

Combine like terms: 17 + -17 = 0

0 + 8x = 137 + -17

8x = 137 + -17

Combine like terms: 137 + -17 = 120

8x = 120

Divide each side by '8'.

x = 15

Simplifying

x = 15

Answer:

by using exterior angle property I.e. sum of opposite interior angles are equal to the exterior angle

w = 50 + 50

= 100

Answer:

B. 15

Step-by-step explanation:

Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "11.3" was replaced by "(113/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    b-((113/10))>0  

Step by step solution :

STEP

1

:

           113

Simplify   ———

           10  

Equation at the end of step

1

:

      113

 b -  ———  > 0  

      10  

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

         b     b • 10

    b =  —  =  ——————

         1       10  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

b • 10 - (113)     10b - 113

——————————————  =  —————————

      10              10    

Equation at the end of step

2

:

 10b - 113

 —————————  > 0  

    10    

STEP

3

:

3.1    Multiply both sides by  10  

3.2    Divide both sides by  10  

     b-(113/10)  > 0

Solve Basic Inequality :

3.3      Add  113/10  to both sides

            b > 113/10

Inequality Plot :

3.4      Inequality plot for

        b  - 11.300  >  0

One solution was found :

b > 113/10

Which number is a solution of the inequality?

b > 11.3

The answers are 15,9,-14, and 4

15

Answer:

36%

Step-by-step explanation:

34-25=9

9/25=36%

Answer:

Step-by-step explanation:

An investment banker received a bonus and invested that money in two investments. He put a certain sum

of money in the first investment that returned 7% interest after one year. In the second investment he

Invested four times that of the first investment and got a 12% interest return after one year. If the total

interest from his investments after one year was $8,525.00, find the amount invested at each interest rate.

Answer:

The shape that has the smallest standard deviation is;

Uniform distribution

Step-by-step explanation:

A uniform distribution is a probability distribution where the outcomes are equally likely such as the probability of landing any face of a die, or the probability of landing a head or a tail, or a perfect random number distribution

Therefore, the outcome of a uniform distribution are all the same and the standard deviation is zero (0)

Therefore, the uniform distribution has the smallest standard deviation.

Answer:

[tex]x=4;\ y=4\sqrt{2}[/tex]

Step-by-step explanation:

[tex]x=4[/tex] since it is an isosceles triangle.

[tex]y=\sqrt{4^2+4^2}=\sqrt{32}=4\sqrt{2}[/tex] due to Pythagoras' theorem.

Answer:

x= 40°

Step-by-step explanation:

since the angles of the quadrilateral add up to 360°

then to find the agle x:

step:1

add alll the angles given in the quadrilateral

100+120+100

= 320

step:2

now subtract the sum of the quadrilateral from the sum of alll angles

360°-320° = 40°

therefore the answer equates to 40°

Answer:

360-(100+120+100)

360-320

40

Answer:

Step-by-step explanation:

It would be greater than 100 and 150. 250% of 44 is negative because 100% of 44 is 0.

Answer:

1

Step-by-step explanation:

Hope This helps! : )

Answer:

the answer i got is 10

im taking the same test right now

Step-by-step explanation:

Answer:

Man yur tripping playstation better jhit

Step-by-step explanation: