simplify the expression by combining like terms

Answer:

x = 13.5

BC = 30

Step-by-step explanation:

BC is double the length of DE. And we know that DE is equal to 15. So 15 x 2 is 30.

Now to find x. We know that our answer has to add up to 30. So we first subtract 3 from 30 to get 27. Then divide 27 by 2 to get what x is equal to. x = 13.5

Answer:

answer is 20

Step-by-step explanation:

5/7 of 28

5/7×28= 20

hope it helps

Answer:

Yes they are similar

Step-by-step explanation:

I hope this helps you have a very nice day

Answer:

5 ≤ y ≤ 205

Step-by-step explanation:

Input values 0 and 50 for x in the function f(x) - 4x + 5

Solve:

The range is between these two points: 5 ≤ y ≤ 205

-Chetan K

Using the probability concept, it is found that the simulation that would not work for the situation described is:

D. To simulate randomly selecting a letter of the alphabet, assign a one-digit number from 0 to 9 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 9.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

More can be learned about the probability concept at https://brainly.com/question/15536019

Answer:

  8. parallel

  9. not parallel

Step-by-step explanation:

Segment ST will be parallel to base segment PR if the sides of the triangle are divided proportionally.

We can compare the whole to the short part:

  102/45 ?? (41.8 +33)/33

  2.266... = 74.8/33 = 2.266...

The sides are proportional, so the segments are parallel.

__

We can compare the longer portion to the shorter portion.

  38/19 ?? 52/24

  2 ≠ 2 1/6

The sides are not proportional, so the segments are not parallel.

_____

Additional comment

Here, we compared segment lengths on the same side of the triangle. You can also compare segment lengths on opposite sides of the triangle. For example, in 9, you could look at any of the relations ...

  19/24 vs 38/52

  19/(19+38) vs 24/(24+52)

or the inverse of these:

  24/19 vs 52/39, for example

Answer:

( 10,20 )

Step-by-step explanation:

Y=2x

Y= 3x -10

What is the solution to the system of equations?

2x=3x-10      *combine like terms*

-1x= -10 x=10 *divide*

Y=2(10)  y=20  *plug in for y into other equation*

CHECK:

plug both x and y into both equations to get a true statement.

Y=2x   20=2(10)  20=20

Y= 3x -10      20= 3(10) -10  20=20  

Step-by-step explanation:

if x = -2

= 9x² - 4x - 3

= 9 ( -2)² - 4 ( -2 ) - 3 [ x = -2 ]

= 9 × 4 + 8 - 3

= 36 + 8 - 3

= 44 - 3

= 41

[tex]\huge{\boxed{{ x = -2}}}[/tex]

[tex] 9x² - 4x - 3[/tex]

[tex]↠ 9 (-2)² -4 (-2) - 3[/tex]

[tex]↠ 9×4+8-3[/tex]

[tex]↠ 36 + 8 -3[/tex]

[tex]↠ 44-3[/tex]

[tex]↠ 41[/tex]

[tex]\large{{\bold{ \underline{ \underline{ \overline{ \overline{ \pink{9{x}^{2} - 4x – 3 = 41}}}}}}}}[/tex]

Answer:

nvm its acctually B. 460

Step-by-step explanation:

just did it

The expected value of the prize that will be awarded is $460.

The expected value (EV) is an anticipated average value for an investment at some point in the future. Investors use expected value to estimate.

here, we have,

to determine the expected value:

The expected value is calculated using:

E(x) = Σx * P(x)

So, we have:

E(x) = 100 *0.2 + 200 * 0.2 + 500 * 0.4 + 1000 * 0.2

Evaluate

E(x) = 460

Hence, the expected value of the prize that will be awarded is $460

Read more about expected values at:

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Answer:

f = 42 , q = 127

Step-by-step explanation:

3f + 1 and 127 are alternate angles and are congruent , so

3f + 1 = 127 ( subtract 1 from both sides )

3f = 126 ( divide both sides by 3 )

f = 42

q and 127 are corresponding angles and are congruent , so

q = 127

BTW I like ur name hahahah

Have great day.

Answer:540-452=88

x=88

sum of all is always 540 for pentagons

Step-by-step explanation:

Answer:

[tex]\pi \: r(3r + 2h) \: is \: the \: answer[/tex]

Answer:

  B.  97.2

Step-by-step explanation:

The sequence of positive terms is ...

  54, 24, 10 2/3, 4 20/27, ...

This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...

  S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)

  S = 97.2

The sum of the positive terms in the infinite series is 97.2.

Answer:

  y ≥ 4

Step-by-step explanation:

The range of the inverse of a function is the same as the domain of the function. F(x) is defined for x ≥ 4, so the range of F^-1(x) is y ≥ 4.

Answer:

most likely / 16 2/3

Step-by-step explanation:

60% = 10

60/10 = 100/x

x= 50/3

50/3 = 16 2/3

Answer:

1496

Step-by-step explanation:

check the other answer for explanation

Answer:

Area = 121pi/12

~= 31.66 sq units

Step-by-step explanation:

They are talking about looking at an umbrella like its a circle. The radius is 11 units. That is from the center to the edge.

Consecutive means "in a row" or "next to each other" The 12 "ribs" are the like skeleton structure in the umbrella. But they cut the umbrella into 12 areas. They are asking for the area of one "slice". It is 1/12 of the area of the whole circle.

Area of a circle is

A = pi × r^2

Area of one slice is 1/12 of the whole.

A(1 slice)

= 1/12× pi × r^2

See image.

Answer: 85%

Step-by-step explanation:

Percent of change formula is (old - new / old) * 100

So then you input the numbers

60 - 9

——— *100

60

51

— *100

60

= 0.85(100)

85%

Hope this helps!

Answer: 5 banana 3 dollar

Step-by-step explanation:

per dollar"→divide by dollars

15\text{ bananas}:

15 bananas:

\,\,9\text{ dollars}

9 dollars

\frac{15\text{ bananas}}{9}:

9

15 bananas

​

:

\,\,\frac{9\text{ dollars}}{9}

9

9 dollars

​

\frac{5}{3}\text{ bananas}:

3

5

​

 bananas:

\,\,1\text{ dollar}

1 dollar

\frac{5}{3}\text{ bananas for every 1 dollar}

3

5

​

 bananas for every 1 dollar

\mathbf{\frac{5}{3}\text{ bananas per dollar}}

​

 5 bananas per 3 dollar

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 15 bananas cost $9.

The cost of one banana is $0.6

The amount of banana per dollar is 5/3 banana

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles.

In 1 hour, a man will walk for 3 miles.

If a machine can make 100 bottles in 20 minutes.

In 1 minute the machine can make 100/20 = 5 bottles.

We have,

Cost of 15 banana = $9

This can be written as:

15 banana = $9

Divide 9 on both sides.

15/9 banana = $1

5/3 banana = $1

The cost of one banana:

15 banana = $9

1 banana = 9/15

1 banana = 3/5

1 banana = $0.6

Thus,

If 15 bananas cost $9.

The cost of one banana is $0.6

The amount of banana per dollar is 5/3 banana

Learn more about unit rates here:

https://brainly.com/question/11258929

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Answer:

16 shoes

Step-by-step explanation: If every student has 2 shoes and you want to know how many shoes for 8 students. Then you do 8 times 2 which is 16 shoes for 8 students. Hope this helps

Answer:

C

Step-by-step explanation:

because for any domain ,you will get only one range value ,

but ,there are two range values for 4 in A;

two range values for 7, and also for 21  in B;

two range values for 14 and for 8 in D

[tex]7 \div \frac{3}{4} = \\ [/tex]

[tex]7 \times \frac{4}{3} = \\ [/tex]

[tex] \frac{7 \times 4}{3} = \\ [/tex]

[tex] \frac{28}{3} \\ [/tex]

Answer:

Step-by-step explanation:

As they are in proportion,

x +4  : x +12   :: x -1  : x + 5

Product of means  = Product of extremes

(x + 12)(x -1) = (x +4)(x+5)

Use FOIL method for polynomial multiplication

x*x + x*(-1) + 12*x + 12*(-1) = x*x +  x*5  + 4*x + 4*5

x² - x + 12x - 12 = x² + 5x + 4x + 20

Combine like terms

x² + 11x - 12 = x² + 9x + 20

x² + 11x - 12 - x² - 9x - 20 = 0

Combine like terms

x² - x² + 11x -9x   -12 -20 = 0

2x - 32 = 0

2x = 32

x = 32/2

x = 16

Step-by-step explanation:

the output is -17 while the input is 5

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 139}}{\left( \cfrac{6}{100} \right)139}\implies 8.34[/tex]

Answer:

4/6 but its 2/3 simplified.

Step-by-step explanation:

You may subtract the numerator but not the denominator.

Answer:

$135

Step-by-step explanation:

15-12=3/2=1.5

12+1.5=13.5

13.5*10=135

Answer:

$1620

Step-by-step explanation:

The area of the lawn is a trapezoid.

Area of a trapezoid = [tex]\dfrac12(a+b)h[/tex]

where a and b are the parallel sides (bases) and h is the height

Therefore,

[tex]area=\dfrac12(15+12) \times 10 = 135 \ m^2[/tex]

If the price of sod is $12 per square metre, then

total cost = 135 x 12 = $1620

Answer:

Step-by-step explanation:

2 kl/min * 60 minutes = 120 kl

Answer:

120 kl/min

Step-by-step explanation:

There are 60 mins in an hour,if you times that by 2 (because its 2 kl/min)that makes up 120.So therefore,the answer is 120 kl/min

[tex]\\ \rm\Rrightarrow \dfrac{XY}{a^2+a^3}\times \dfrac{a+a^2}{x^2y^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{a^2+a^3(x^2y^2)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{axy+a^2xy}{a^2x^2y^2+a^3x^2y^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{x^2y^2(a^2+a^3)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{a+a^2}{xy(a^3+a^2)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{a(a+1)}{xya^2(a+1)}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{a}{a^2xy}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{axy}[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{xy}{ {a}^{2} + {a}^{3} } \times \dfrac{a + {a}^{2} }{ {x}^{2} {y}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{xy}{ a({a}^{} + {a}^{2} )} \times \dfrac{a + {a}^{2} }{xy( {x}^{} {y}^{} )} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ \cancel{xy}}{ a \cancel{({a}^{} + {a}^{2} )}} \times \dfrac{ \cancel {a + {a}^{2}} }{xy \cancel{( {x}^{} {y}^{} )}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{a} \times \dfrac{1}{xy} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{ axy} [/tex]