Can you simply these fractions?

192 cm²

Let us take the height be x , then its side = x + 4. Now half of base will be 12 cm .

According to Pythagoras Theorem :-

=> base² + perpendicular ² = hypontenuse ²

=> 12² + x² = (x+4)²

=> 144 + x² = x² + 16 + 8x

=> 8x = 144-16

=> 8x = 128

=> x = 128/8

=> x = 16 cm .

Hence the height of ∆ is 16 cm .So the area will be half the product of base and altitude.

= 1/2 * 16 cm * 24cm .

= 192 cm²

Answer:

97/139

Step-by-step explanation:

You add every thing but red so 45+20+32 which equals 97, so 97 is your numerator and to get the denominator you add all the numbers together so 42+45+20+32 which equals 139.

Probability that candy picked is purple or not red is [tex]\frac{32}{151}[/tex].

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The value of the probability of an event to happen can lie between 0 and 1 because the favorable number of outcomes can never cross the total number of outcomes. Also, the favorable number of outcomes cannot be negative.

According to the question

A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies.

You pick one candy at random.

We have to find probability that it is purple or not red.

Formula for probability:

[tex]P(E) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]

Total number of favorable outcomes = [tex]42+45+20+32 =151[/tex]

Number of favorable outcomes = 32

Probability that it is purple or not red.

[tex]P(E)=\frac{32}{151}[/tex]

Hence, Probability that candy it is purple or not red is [tex]\frac{32}{151}[/tex].

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Answer:  a.2^3, b. 3^5, c. 4^3 + 5^2, d. 9^4 + 7^2

Step-by-step explanation:

i took this class already

Answer:

a) = 8

b)=243

c)=1 600

d)=321 489

Explanation

a) 2×2= 4×2= 8

b)3×3=9×3=27×3=81×3=243

c)4×4=16×4=64×5=320×5=1 600

d)9×7=63×9=567×9=5 103×7=35 721×9=321 489

Answer:

79.82

(Rounded to the nearest dollar 80)

Step-by-step explanation:

Surface area of Cylinder:

Circle:

π[tex]r^{2}[/tex]=

1π = π

so since there are 2 circles it is 2π

Rectangle:

length*width=

3*Circumference

3*(2π)=

6π

Add them all together:

2π + 6π = 8π

≈ 8*3.14

so the answer is approximately 79.82

Hope this helps :)

Answer:

Step-by-step explanation:

d+821=5323

d=4502

So the distance she climbed in the first four days was 4502 feet.

Answer:

75/25= 3 wholes

Step-by-step explanation:

Because 25*3=75 so it would be 3 wholes

Answer:

500 : 0.4

Step-by-step explanation:

Answer:

Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investment will be lost.

Step-by-step explanation:

Hope this will help

Answer:

Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investments will be lost. However, a stock's price will also rise in spite of this risk when the company performs well, and can even work in the investor's favor.

Step-by-step explanation:

Step-by-step explanation:

- In a right triangle, if ∠B is 45°, then ∠C is too.

-- Since ∠B  and  ∠C  are equal, the sides opposite them

are equal too.  This is an isosceles right triangle.  Its legs

are equal.

-- (The hypotenuse)²  =  (one leg)²  +  (the other leg)²

                                  =       (12-ft)²  +  (12-ft)²

                                  =              (144 x 2)

     The hypotenuse  =  √(144 x 2)  =  12√2 .

LOL

Worker work for =25 days and he paid Rs.4625.

Step-by-step explanation:

From the question,

Worker is paid Rs.1110 for =6 days

Worker is paid Rs.1 for =(6/110) days

Worker is paid Rs.4625 for =(6/1110)×(4625) days

=25 days

Answer: The relation is a function.

Step-by-step explanation: Since there is one value of y for every value of x in (-2,4), (3,7), (0,8), (5,8), and (1,6), this relation is a function.

I hope this helps you out!

Answer:

c and d have a proportial relationship.

Step-by-step explanation:

hope this helps

Answer:

For the profit to be maximized, 20 software programs and 80 video games should be produced

Step-by-step explanation:

Let x represent the number of the software programs and let y represent the number of video games.

We are told that the company can produce at most 70 software programs and then, at most 80 video games per week. Thus;

x ≤ 70

y ≤ 80

Also, we are told that the overall production cannot exceed 100. Thus;

x + y ≤ 100

Since the company makes a profit of $15 per software program and $10 per video game. Then, the function to be maximized is;

15x + 10y

When they produce at most 70 software programs, it means that the number of video games that can be produced is: 100 - 70 = 30.

Thus, one point of maximizing values is; (70, 30)

Also, when they produce at most 80 video games per week, the number of software programs that can be produced is; 100 - 80 = 20.

Thus, second point of maximization is;

(20, 80)

Putting these points into the objective function, we have;

At (70, 30); 15(70) + 10(30) = $1350

At (20, 80); 15(20) + 10(80) = $1100

For the profit to be maximized, 20 software programs and 80 video games should be produced

Answer:this is the answer

Step-by-step explanation:

Just did the test

Answer:

-5y

Step-by-step explanation:

combine them -4y +(-1y)

Answer:

368/527

Step-by-step explanation:

Answer:

2x=50

Step-by-step explanation:

Hi there,

Your question is "twice a number (x) is fifty"

Recall how a number is represented by x.

Twice a number would be represented as 2x.

Therefore, to represent that twice a number is equal to 50, that would result in the expression: [tex]2x=50[/tex]

If you're looking to solve this equation, it's often best to think about the "reverse" of the current equation.

Notice how 2 is multiplying the x.

To isolate x, divide that side by 2.

However, recall that whatever is done to one side of an equation must also be done to the other side of the equation. Therefore, you will need to divide both sides by 2.

[tex]2x=50[/tex]

[tex]\frac{2x}{2} = \frac{50}{2}[/tex]

[tex]x=25[/tex]

Equation: [tex]2x=50[/tex]

Solving for x: 25

Hope that helps!

Answer:

p = 36cm

Step-by-step explanation:

p = 4a

4 × 9 = 36

good luck, i hope this helps :)

Answer:

n = 250

Step-by-step explanation:

To express the ratio, the quantities must have the same measures

2 cm : 5 m

= 2 cm : 500 cm [ 1 m = 100 cm ]

Divide both parts by 2

= 1 : 250 → with n = 250

Given:

The graph of line.

To find:

The gradient of the line using rise/run method.

Solution:

We know that the gradient of a line is also known as slope.

[tex]Slope=\dfrac{Rise}{Run}[/tex]

Consider the two intercepts, then rise is distance between origin and y-intercept and run is the distance between origin and the x-intercept. But rise must be negative because the value of y decreased from 3 to 0.

[tex]Rise=-3[/tex]

[tex]Run=2[/tex]

Now,

[tex]Slope=\dfrac{Rise}{Run}[/tex]

[tex]Slope=\dfrac{-3}{2}[/tex]

The gradient of the line is [tex]-\dfrac{3}{2}[/tex].

Therefore, the correct option is C.

Answer:

16.8

Step-by-step explanation:

the one above would the y

Answer:

Layla's data set has a greater spread than Elle's data set

Eplanation:

I just got it right on the test I took..

The conclusion is Layla’s data set has more outliers or extreme values than Elle’s data set.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We are given that;

E and L collect data on library use from same students. L’s SD > E’s SD.

Now,

Since Elle and Layla collected data samples from the same population of students, we can assume that they have the same mean for their data sets. Hence, if Layla’s standard deviation is much larger than Elle’s standard deviation, it means that Layla’s data set has more variation or dispersion than Elle’s data set. In other words, Layla’s data set has more outliers or extreme values than Elle’s data set. This could be due to random sampling error or some other factor that influenced Layla’s data collection.

Therefore, by the standard deviation the answer will be Layla’s data set has more outliers or extreme values than Elle’s data set.

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Answer: 10

Step-by-step explanation:

Answer:

(-8, 10)

Step-by-step explanation:

A P E X

Answer:

A. it is not a function because there are multiple y-values paired with a single x-value.

Step-by-step explanation: