Find the area of trapezoid ABCD by decomposing it into a rectangle and triangle.
A)80 cm^2
B)96 cm^2
C)104 cm^2
D)112 cm^2

Answer:

43

Step-by-step explanation:

Answer:

Highly highly likely

Step-by-step explanation:

there is really only a 2/25 chance to pull one, so there is a 23/25 chance to not pull an orange

Question :-

Answer :-

[tex] \rule {180pt} {2pt} [/tex]

Given :-

To Find :-

Solution :-

As per the provided information in the given question, we have been given that After 20 years, Rama will be 5 times as old as he is now. And, we have been aksed to calculate Present Age of Rama.

Let :-

Therefore :-

[tex] \longmapsto \: \: \:\sf{x \: + \: 24 \: = \: 5x} \\ [/tex]

[tex] \longmapsto \: \: \sf{24 \: = \: 5x \: - \: x} \\ [/tex]

[tex] \longmapsto \: \: \sf{24 \: = \: 4x} \\ [/tex]

[tex] \longmapsto \: \: \sf{x \: = \: \dfrac{24}{4} } \\ [/tex]

[tex] \longmapsto \: \: \textbf{ \textsf{x \: = \: 6 }} [/tex]

Hence :-

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Given :

⠀

To Find :

⠀

Solution :

Now,

⠀

According to the Question :

[tex]{ \longrightarrow {\qquad {\sf 5x = x + 24 }}}[/tex]

⠀

Subracting x from both sides we get :

[tex]{ \longrightarrow {\qquad {\sf 5x - x= x - x+ 24 }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf 4x= \cancel{x} \: \: \cancel{- x}+ 24 }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf 4x= 24 }}}[/tex]

⠀

Dividing both sides by 4 we get :

[tex]{ \longrightarrow {\qquad {\sf \dfrac{4x}{4} = \dfrac{24}{4} }}}[/tex]

[tex]{ \longrightarrow {\qquad \pmb {\bf x= 6 }}}[/tex]

⠀

Therefore,

Answer:

An example would be: Do you like cats or dogs more?

Step-by-step explanation:

The example for the biased survey question is : How awesome is the product?

A survey question is biased if it is phrased or formatted in a way that skews people towards a certain answer.

The question : - How awesome is the product?

The Fixed: How would you rate this product?

The examples of biased survey questions listed above contains a judgment, implying that the product is “awesome,” The corrected phrasing, on the other hand, is more objective, and contains no insinuations.

Hence, the example for the biased survey question is : How awesome is the product?

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Answer:

9x³

Step-by-step explanation:

       I hope this makes sense, whatever is underlined becomes part of our algebraic expression in the next line:

       9 is multiplied by the cube of a number.

       9 * the cube of a number.

       9 * the cube of x.

       9 * x³

       9x³

Which data best supports the scientist’s decision to issue the warning?

D) Reservoirs and lake levels continue to drop significantly.

Answer:

slay

Step-by-step explanation:

Answer:

-13.51

Step-by-step explanation:

work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100.,

so, -13.51

Answer: A B E F

Step-by-step explanation:

i’m pretty sure it’s right

The value that is equal to the average rate of change of the function over the interval is equal is 1 m/s

Given the position of the object expressed as:

y = -t^2 + 3t - 4

In order to calculate the value that is equal to the average rate of change of the function over the interval (0, -4) and (2, -2), we will determine the slope of these two coordinates as shown;

Rate of change = -2-(-4)/2-0
Rate of change = -2+4/2
Rate of change = 2/2

Rate of change = 1 m/s

Hence the value that is equal to the average rate of change of the function over the interval is equal is 1 m/s

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The number of people that went to the amusement park consisted of 26 students and 16 adults.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x is the number of students and y is the number of adults. The bus of 42 people paid $1080 to enter the amusement. Hence:

x + y  = 42   (1)

Also:

20x + 35y = 1080    (2)

From equation 1 and 2:

x = 26, y = 16

The number of people that went to the amusement park consisted of 26 students and 16 adults.

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Answer:

it is IH - 110 ft

Step-by-step explanation:

The plane height is down 110 feet from its initial height.

Subtraction is mathematic operation. Which is used to remove terms or objects in expression.

Let x be the initial height of the plane.

Then according to question;

if drop down means height in negative term and rise up means height in the positive term.

Then,

the height is

= x -300-180+240+130

= x-110

Therefore, down 110 feet is the height of the plane now relative to its initial height.

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Answer:

Can't answer with out the picture

Step-by-step explanation:

Answer:

(x) = 4

Step-by-step explanation:

 3/4 (x) + 4 = 7

 3/4 (4) + 4 = 7

0.75 (4) + 4 = 7

          3 + 4 = 7

                7 = 7

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{5-2}{2-1}[/tex]

[tex]\\ \rm\rightarrowtail m=\dfrac{3}{1}[/tex]

[tex]\\ \rm\rightarrowtail m=3[/tex]

Answer:

Step-by-step explanation:

PART A

Answer: no they will not be the same

PART B

Which cab driver's charge will be less for a ride that is 10 miles in distance?

Madeline's is cheaper

Bert's cab company costs $31 and Madeline's cab company costs $23

Answer:

Volume: 16.76 cm^3

Surface area: 40.67 cm^2

Step-by-step explanation:

To find volume, you use the formula V=πr^2*h/3

To find the surface area you use formula A=πr(r+√h^2+r^2)

Answer:

V = 16.76

Surface Area = 40.67

Step-by-step explanation:

V=πr2h

A=πrl+πr2

By knowing how to use positive numbers and negative numbers, we will see that the answers are:

By standard notation, if May wins money, then we represent this with a positive number.

While if she pays or has a debt, we represent the change with a negative number (because now she has less money than before).

A) She receives $25, so the change is:

C = $25

B) She earns $14, so the change is:

C = $14

C) She spends $10, so now she has $10 less than before, the change is:

C = -$10

D) She donated $3, so the change is:

C = -$3

E) She gots $2, then the change is:

C = $2.

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Answer:

slope is 0(this is just the slope)

intercep in y is (0,6)

if you write it in y=mx+b is 6(this is slope intercept)

Answer:

X=10

Step-by-step explanation:

Step 1: Subtract 100 from both sides of the equation.

Step 2: Simplify.

Step 3: Subtract 25x from both sides of the equation.

Step 4: Simplify.

Step 5: Divide both sides of the equation by the same term.

Step 6: Simplify.

X=10 :)

Answer:

Step-by-step explanation:

In this question we are given an equation that is 22x + 100 = 25x + 70. And we are asked to find the value of x .

Solution : -

[tex] \longmapsto \:22x + 100 = 25x + 70 [/tex]

Step 1 : Subtracting 100 from both sides :

[tex] \longmapsto \:22x + \cancel{100} - \cancel{100} = 25x + 70 - 100[/tex]

On further calculations we get :

[tex] \longmapsto \: 22x = 25x - 30[/tex]

Step 2 : Subtracting 25x from both sides :

[tex] \longmapsto \:22x - 25x = \cancel{ 25x} - \cancel{25x }- 30[/tex]

On further calculations we get :

[tex] \longmapsto \: \cancel{- }3x = \cancel{ - }30[/tex]

Step 3 : Dividing with 3 on both sides :

[tex] \longmapsto \: \frac{ \cancel{3}x}{ \cancel{3}} = \cancel{\frac{30}{3} }[/tex]

On further calculations we get :

[tex] \longmapsto \: \purple{\boxed{ \frak{x = 10}}}[/tex]

Verifying : -

We're verifying our answer by substituting value of x in given equation . So ,

Therefore, our value for x is correct .

Step-by-step explanation:

x = number of t- shirts

the function for the incurring costs is

c = 5x + 45

the function for the accumulating sale is

s = 20x

the break even point is when both functions deliver the same result.

20x = 5x + 45

15x = 45

x = 3

c = s = 5×3 + 45 = 20×3 = $60

they need to sell 3 t-shirts to break even.

at that point they will have incurred $60 in costs and collected the same amount in sales.

First, combine like terms:

4x -58 +x =2 can be rewritten as 5x - 58 =2

Next, isolate the x on one side of the equation by adding 58 to both sides:

5x = 60

Now, isolate x again by dividing by 5 on both sides of the equation:

Answer: x = 12

[tex]7 > -2\\7 -7 > -2-7\\0 > -9[/tex]

Hope that helped!

Answer:

x + 8 = 20

Step-by-step explanation:

Using the keywords;

'more than' (addition)

'a number' which we can consider a variable

and 'equals'

Answer: 8 + x =20

Step-by-step explanation: eight more than a number means 8 more than meaning plus, a number. So this is saying that 8 more than what ever that number is, will equal 20. We say x in the equation because x can be see as “the number”.

x = “the number” = 12

This is because 8 more than 12 is 20...

So 8 more than a number = 8 + x = 20

Answer:

24 Minutes

Find 60 percent of 40.

Percent means over 100

,so 60% = 60/100 or 0.6

Multiply that by 40 to find 60% of it:

40 * 0.6 = 24

A Samantha spent percent 24 minutes on language arts out of the 40 minutes dedicated to her homework.

To find the number of minutes Samantha spent on language arts,  to calculate 60% of the total time  spent on homework.

Samantha spent a total of 40 minutes on homework.

To find 60% of 40 minutes, multiply 40 by 0.60 (since 60% is equivalent to 0.60):

60% of 40 = 0.60 × 40 = 24 minutes

Therefore, Samantha spent 24 minutes on language arts.

Regarding the 2-column table provided, it appears to be unrelated to the problem and does not directly provide information about Samantha's homework time. It contains entries for "Time Spent" in percentages and corresponding minutes, but these percentages and minutes do not seem to relate to the given problem.

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Answer:

its true

Step-by-step explanation:

[tex]\frac{2}{5} * \frac{10}{1}=\frac{20}{5}[/tex]
[tex]\frac{20}{5} = \frac{4}{1} = 4[/tex]

have a good day.

Answer:

True.

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Multiply the reciprocal of the fraction to both sides to isolate the variable, v.

The reciprocal in math is described as the quantity that is multiplied that will result in 1. In this case, you will multiply 5/2 to both sides of the equation:

[tex]\frac{2}{5}v = 4\\ \\(\frac{5}{2})\frac{2}{5}v = 4 * (\frac{5}{2})\\[/tex]

[tex]v = \frac{4 * 5}{2} = \frac{20}{2} = 10\\ v = 10[/tex] (True).

In this case, v = 10 will work to solve the given equation, and so it is true.

~

Answer:

Step-by-step explanation:

Answer:

The total is 97/100

Step-by-step explanation:

47/100+3/100=50/100 (aka 1/2)

50/100+47/100=97/100

Answer:

47/100+3/10+47/10=97/100

¹

47

47

+3

__

97

Answer: 114 degrees

Step-by-step explanation:

The probability is the ratio of the favorable event to the total number of events. Then the P(B|C) is 0.38. Then the correct option is B.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

According to the condition, the table will be

                      C                   D               Total

  A                 15                  21                 36

  B                  9                  25                34

Total              24                 46                70

The probability of the (BIC) will be

[tex]\rm P(B|C) = \dfrac{9}{24}\\\\\\P(B|C) = 0.375 \approx 0.38[/tex]

The P(B|C) is 0.38. Then the correct option is B.

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