Simplify this algebraic expression with the steps

Answer:

123.4

Step-by-step explanation:

Answer:

[tex]\displaystyle QR = 12[/tex]

Step-by-step explanation:

First, it's never a bad idea to draw the line and see what it looks like! This is shown below (not to scale).

We are given that PS = 18 and PR = 15, and we want to determine QR.

PS is the sum of PR and RS:

[tex]\displaystyle PS = PR + RS[/tex]

Substitute:

[tex]\displaystyle (18) = (15) + RS[/tex]

Solve for RS

[tex]\displaystyle RS = 3[/tex]

Since RS ≅ PQ:

[tex]\displaystyle RS = PQ = 3[/tex]

PS is also the sum of PQ, QR, and RS. Hence:

[tex]PS = PQ + QR + RS[/tex]

Since PS = 18 and RS = PQ = 3:

[tex](18) = (3) + QR + (3)[/tex]

Solve for QR:

[tex]QR = 12[/tex]

In conclusion, QR measures 12 units.

Answer:

-3

Step-by-step explanation:

9514 1404 393

Answer:

  x = -3

Step-by-step explanation:

Undo the addition of -6 by adding the opposite of that to both sides of the equation.

  x + (-6) +(+6) = (-9) +(+6)

  x -6 +6 = -9 +6

  x = -3

Answer:

yes!

Step-by-step explanation:

"i am not happy when hungry" is the inverse of "i am not hungry, i am happy."

Answer:

No

Step-by-step explanation:

Answer:

650+35w>825+15w

Step-by-step explanation:

Answer:

NL= 2 × HI

x+24 =2 × (X+16)

x+24=2x + 32

2x-x= 24-32

x= – 8

NL=x+24 = –8 +24= 16

So ; NL= 16

I hope I helped you^_^

Answer:

D

Step-by-step explanation:

Goky kwiwiwjwjjwiwjwiw

Answer:

$13.47

Step-by-step explanation:

2.99 + 3.49 +5.99 + 12.47.

12.47 x 0.08 = 1.

12.47  + 1 = 13.47

Answer:

+or-6

Step-by-step explanation:

This is a trick question. The answer would be the first choice since you're multiplying -6 by +or-6, meaning that it could still end up as a negative or a positive.

Answer:

Step-by-step explanation:

Answer:

[tex]volume \: of \: rectangular \: prism = base \: area \: \times height \\ \\ = length \times width \times height[/tex]

Answer:

38 us liquid quarts

Step-by-step explanation:

Answer:

5539

Step-by-step explanation:

You should conclude that the number in the thousands place and the one in the 100s place are the same.

x * 1000 + x * 100 + y + x + 4

So you could sum the digits as

3x + y + 4 = 19   Subtract 4 from both sides

3x +  y = 15

x can be six           That means y = 1 which is OK

x can be five          That means y = 3 which is OK

Now we run into a little grief. Can x be 4? No

x cannot be 4          that would mean that y = 19 - 12 = 7 The tens digit is too big.

Come to think of it, x cannot be 6 because then the units digit will be 10 -- not possible.

So the answer is

1000*5 + 100*5 + 10*3 + 9

5539 is the answer.

Thanks for posting.

We want to find a 4-digit number that meets some given conditions. We will find two, which are:

4438 and 5509

A general 4-digit number can be written as:

a*1000 + b*100 + c*10 + d

Where a, b, c, and d are single-digit numbers.

a is the thousands digit

b is the hundreds digit

c is the tens digit

d is the units digit.

Here we know that:

"the value of the digit in the thousands place is 10 times greater than the value of the digit in the hundreds place."

So the first term is 10 times the second term, this means that:

(a*1000) = 10*(b*100)

a*1000 = b*1000

a = b

-the least (the smaller one) digit is in the tens place.

so:

c < a, b, d

- The sun of the digits is 19.

So:

a + b + c+ d = 19

-The digit in the ones place is 4 more than the digit in the hundreds place.

so:

d = b + 4

Now we can rewrite all of these conditions as:

Using the first one, we can replace all the b's by a's in the other conditions, so we have:

Now we can use the third equation and replace it in the second one to get:

2a + c + d = 19

2a + c + (a + 4) = 19

3a + c + 4 = 19

3a + c = 19 - 4

3a + c = 15

Now we need to remember that:

c < a.

So we can try with different values of a.

For example, if a = 3, then:

3*3 + c = 15

9 + c = 15

c = 15 - 9 = 6

here we have c > a, so we can discard this.

If a = 4, then:

3*4 + c = 15

12 + c = 15

c = 15 - 12 = 3

c < a

From this we can construct our number:

a = b = 4

c = 3

d = b + 4 = 4 + 4 = 8

Then the number is:

4438

If a = 5, then:

3*5 + c = 15

15 + c = 15

c = 15 - 15 = 0

c < a

So we also can have:

a = b = 5

c = 0

d = b + 4 = 9

Such that the number is:

5509

And if a is equal to or larger than 6 we have problems, because

3*6 + c = 15

18 + c =15

c = 15 -18 = -3

And c can't be a be a negative number.

So we can conclude that we found two 4-digit numbers that meet all the conditions, and these are:

4438 and 5509

If you want to learn more, you can read:

https://brainly.com/question/19902993

Answer:

[tex]r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi \times 2 \times 5 + 2\pi {2}^{2} \\ = 20\pi + 8\pi \\ = 28\pi \\ = 28 \times 3.14 \\ = 87.92 {unit}^{2} \\ thank \: you[/tex]

Answer:

Firstly irrational number are any real number that cannot be expressed as the quotient of two integers . For example there is no number among integers and fractions that equals the square root of 2 .

Hope I helped

you didn't put a picture in,

Answer:

135

Step-by-step explanation:

250 x 54%=135

Answer:

estuvo muy Bien jwjejehebqkwjshhshshshhebwwhwbhwhwuwjwywgegevwhwvwgww

Answer:

Naosei

Step-by-step explanation:

Hi ;-)

This angle is

Answer:

This is an obtuse angle

Step-by-step explanation:

Anything over 90 degrees is obtuse

Answer: BX = 7  

======================================

Explanation:

For any rectangle, the diagonals are the same length and they cut each other in half (aka bisect each other).

This means diagonal BD = AC = 14 and BX = BD/2 = 14/2 = 7. The value of AB is never used.

Answer:

7

Step-by-step explanation:

Finance charge is the amount it costs of borrowing money

The finance charge that will appear in each year's profit and loss expense in the lessee's books are;

[tex]\begin{array}{|c|cc|}\mathbf{Year}&&\mathbf{Finance \ Charge \ (Kshs)}\\&&\\First&&1.8\\&&\\Second&&1.499\\&&\\Third&&1.171\\&&\\Fourth&&0.814\\&&\\Fifth&&0.424\end{array}\right][/tex]

The total financial charge = 5 × 5.142 - 20.000 = 5.71

The annual percentage rate, APR, of an instalment payment is given as follows;

[tex]\dfrac{(1 - (1 + r)^{-5}}{r} \times 5.142 = 20.000[/tex]

Solving using a graphing calculator gives;

r = APR ≈ 0.09 = 9%

The calculation for charges each year is as follows:

Payment interest for the first instalment = 20 × 9% = 1.8

The principal of the first payment = 5.142 - 1.8 = 3.342

The loan balance = 20 - 3.342 = 16.658

Payment interest for the second instalment = 16.658 × 9% = 1.49922

Second payment principal = 5.142 - 1.49922 = 3.64278

Loan balance = 16.658 - 3.64278 = 13.01522

Payment interest for the third instalment = 13.01522 × 9% = 1.1713698

Third payment principal = 5.142 - 1.1713698 = 3.9706302

Loan balance = 13.01522 - 3.9706302 = 9.0445898

Interest for the fourth payment = 9.0445898 × 9% = 0.814013082

Fourth payment principal = 5.142 - 0.814013082 ≈ 4.327986918

Loan balance = 9.0445898 - 4.327986918 = 4.716602882

Fifth payment interest = 4.716602882 × 9% = 0.42449425938

Fifth payment principal = 5.142 - 0.42449425938 ≈ 4.718

Therefore, we have;

[tex]\begin{array}{|c|cc|}\mathbf{Year}&&\mathbf{Finance \ Charge \ (Kshs)}\\&&\\First&&1.8\\&&\\Second&&1.499\\&&\\Third&&1.171\\&&\\Fourth&&0.814\\&&\\Fifth&&0.424\end{array}\right][/tex]

Learn more about the actuarial method here:

https://brainly.com/question/15504405

Answer:

25% and 75%

Step-by-step explanation:

15+45=60

girl =  [tex]\frac{15}{60} *100[/tex] = 25%

boy = [tex]\frac{45}{60} *100[/tex] = 75%

The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000

Using this formula

2021 preferred shareholders(per year)=Per dividend * Dividend rate

Let plug in the formula

2021 preferred shareholders(per year)=[(7,000*$100)*6%]

2021 preferred shareholders(per year)=($700,000*6%)*2

2021 preferred shareholders(per year)=42,000*2

2021 preferred shareholders(per year)=84,000

Inconclusion The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000

Learn more about preferred shareholders here:

https://brainly.com/question/3518273

Answer:

The answer is 3cm

Please give branliest!

Step-by-step explanation:

(S1×2)+(S2×2)=21cm

(S1+S2)×2=21cm

S1+S2=21÷2

7.5+S2=10.5

S2=10.5-7.5

S2=3

Breadth=3cm

Step-by-step explanation:

p=2(l+b)

21=2(7.5+b)

21=15+2b

21-15=2b

6=2b

6/2=b

b=3

Answer:

0.083

Step-by-step explanation:

0.1 x 0.83 = 0.083

There are 0.083 bucket are the penguins fed.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

At the zoo the polar bears are fed 0.1 bucket of fish a day.

And, The penguins are fed 0.83 that amount.

Now,

Since, At the zoo the polar bears are fed 0.1 bucket of fish a day.

And, The penguins are fed 0.83 that amount.

Hence, The bucket are the penguins fed is,

⇒ 0.83 × 0.1

⇒ 0.083

Learn more about the multiplication visit:

brainly.com/question/10873737

#SPJ2

Answer:

A, B, C, and E

Step-by-step explanation:

A) -4 X-3 = 12

B) 6 x 2 = 12

C) -6 X-2 = 12

D) 3 X-4 = -12

E) 12 x 1 = 12

the expressions that have a value of 12 are :

A, B, C, and E

Answer:

Lets find

[tex]\\ \rm\longmapsto -4(-3)=12\checkmark[/tex]

[tex]\\ \rm\longmapsto 6(2)=12\checkmark[/tex]

[tex]\\ \rm\longmapsto -6(-2)=12\checkmark[/tex]

[tex]\\ \rm\longmapsto 3(-4)=-12\checkmark[/tex]

[tex]\\ \rm\longmapsto 12(1)=12\checkmark[/tex]

Answer:

A.

Step-by-step explanation:

Answer:

A. An Algebraic Expression

Step-by-step explanation:

Since we have no equal sign in the problem, we know that it is an expression. An equation has an equal sign and another value so we can simplify to find the value of whatever variable we are working with. We also know that it is not anything numerical because we are working with variables. With this information we will see that the correct answer is A.

Best of Luck!

Answer:

options A an algebraic expression

Step-by-step explanation:

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