algebra applications ​

Algebra Applications

Answers

Answer 1

Answer:

X=55°

Y=30°

Step-by-step explanation:

2y=x+5

Y=1/2x+2.5

3y+30=4x-100

3(0.5x+2.5)+30=4x-100

1.5x+7.5+30=4x-100

4x-1.5x=137.5

2.5x=137.5

X=55°

Y=30°

Answer 2

Answer:

[tex]x = 55\\y = 30\\[/tex]

Step-by-step explanation:

Finding x:

4x - 100 + x + 5 = 180 (Angles on a straight line)

5x - 95 = 180

5x = 180 + 95

5x = 275

Dividing both sides by 5

x = 55

Finding y:

2y + 3y +30 = 180 (Angles on a straight line)

5y = 180-30

5y = 150

Dividing both sides by 5

y = 30


Related Questions

Please I need help with this tooo.....will give 5 start and brainlist....

Answers

i don’t know sorry but try googling the answer

I need help on this 10j< – 10

Answers

Answer:

j<-1

Step-by-step explanation:

10j<-10

divide both sides by 10 and get

j<-1

Answer:

[tex]j < - 1[/tex]

Step-by-step explanation:

[tex]10j < - 10 \\ \frac{10j}{10} < \frac{ - 10}{10} \\ = j < - 1[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Plz answer number 6 and 4

Answers

55/2=27.5

Answer: 27.5,6

Which of the following figures has a pentagon as its base? A cube B pentagonal prism C triangular prism D rectangular prism

Answers

Answer:

Option B. Pentagonal prism

Step-by-step explanation:

Option (A). Cube

Base of a cube is a square.

Option (B). Pentagonal prism

A prism is always defined by its base.

Example: triangular prism, rectangular prism

Therefore, pentagonal prism will have a base in the shape of a pentagon.

Option (C). Triangular prism

Triangular prism will have a triangular base.

Option (D). Rectangular prism

Rectangular prism will have a rectangular base.

You enjoy reading in your free time and keep every book you have ever read. When you were five, you read 2 books and every year after you tripled the number of books you read. How many books did you have in your bookcase when you were 11 years old?

Answers

The answer is seven hundred and twenty eight . There you go

The total number of books that we had in out bookcase when we were 11 years old was 2,187 books.

What is  a geometric sequence and how to find its nth terms?

Suppose the initial term of a geometric sequence is [tex]a[/tex]

and the term by which we multiply the previous term to get the next term is [tex]r[/tex]

Then the sequence would look like

[tex]a, ar, ar^2, ar^3, \cdots[/tex]

(till the terms to which it is defined)

Thus, the nth term of such sequence would be

[tex]T_n = ar^{n-1}[/tex] (you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).

What is the sum of terms of a geometric sequence?

Lets suppose its initial term is  [tex]a[/tex] , multiplication factor is  [tex]r[/tex]

and let it has total n terms, then, its sum is given as:

[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]

(sum till nth term)

For this case the initial number of books (2) is multiplied by 3 each year.

So we got:

a = 2,

r = 3

Since a = 2 was for age 5, and  if we take age 5 at 1st position, then age 11 is at the 7th position.

The number of books we read at each age is a geometric sequence with initial term 2 and multiplication factor 3.

The sum of its term(which would make it geometric series) will give the total number of books we will have.

Since age 11 is at 7th position, so n = 7

Thus, the total number of books we had in the bookcase when we were 11 years old is:

[tex]S_n = \dfrac{a(r^n-1)}{r-1}\\\\S_7 = \dfrac{2((3)^7-1)}{3-1} = 2187[/tex]

We could've derived it without formula as:

Age 5: 2 booksAge 6: [tex]2 \times 3[/tex] booksAge 7: [tex]2 \times 3^2[/tex] booksAge 8: [tex]2 \times 3^3[/tex] booksAge 9: [tex]2 \times 3^4[/tex] booksAge 10: [tex]2 \times 3^5[/tex] booksAge 11: [tex]2 \times 3^6[/tex] books

Their sum is 2187.

Thus, the number of books that we had in out bookcase when we were 11 years old was 2187 books.

Learn more about sum of terms of geometric sequence here:

brainly.com/question/1607203

How is completing the square for an expression different than completing the square to solve an equation?

Answers

Answer:

Completing includes a change for the extra term has to be subtracted

Where completing the square to an equation will always result in finding what equals zero.

Michael has a home-based business putting on children's parties. He charges $45 to design the party and then $7.50 per child . Write a function rule ( equation) that relates the total cost of the party to the number of children n

Answers

Answer:

45 + ( 7.50*x)

Step-by-step explanation:

Answer:

I believe the answer is: [tex]f(x)=45+7.50x[/tex]

Step-by-step explanation:

45 because you start with it costing that much and then the 7.50x because each child costs 7.50 and you don't know how many there will be.

At the sandwich shop there are 5 different meats and 4 different cheeses from which to choose. How many different sandwiches can be made using one meat and one cheese? A. 2 B. 9 C. 12 D. 20

Answers

Answer:

D. 20 different sandwiches

Step-by-step explanation:

5 meats

4 cheeses

5 x 4 = 20

Answer:

its D

Step-by-step explanation:

i did the test on edgeuenity or however u spell it

Which of the following real-world problems can be modeled with the inequality 384+2x<6x
384
+
2
x
<
6
x
?

Marta charges a flat fee of $384 plus $2 per linear foot to decorate tables for a quinceanera. Carla charges $6 per linear foot to do the same. For what number of linear feet, x, will the cost of both decorators be the same?

Shawna has made 384 campaign buttons for the student council election. She plans to make 2 more buttons each hour. Marguerite plans to make 6 campaign buttons per hour. For what number of hours, x, will Shawna have the same amount of campaign buttons as Marguerite?

Super Clean house cleaning company charges $384 to power wash a house plus $2 per linear foot. Power Bright charges $6 per linear foot and no flat fee. For what number of linear feet, x, will the cost of Super Clean be more expensive than Power Bright?

Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym?

Answers

Answer: Gym problem (fourth option)

Step-by-step explanation:

Hi, to answer this question we have to analyze the options given.

For the first option the equation is:

384+2x=6x

Because the problem asks for a solution where both costs are equal.

For the second option the equation is :

384+2x = 6x

Because the problem asks for a solution where both amounts are equal.

For the third option the inequality is:

384+2x>6x

Because the problem asks for a solution where the first cost is more expensive than the second cost.

For the fourth option (gym problem) the inequality is:

384+2x< 6x

Because the problem asks for a solution where the second cost (super gym) is more expensive than the first cost (mega gym).

This option is the correct one.

Feel free to ask for more if needed or if you did not understand something.  

find the area of the shape attached

Answers

Answer:

Radius x radius x 3.14 / 2 = area of semicircle

5 x 5 x 3.14 = 78.5

don't divide because there is two semicircle

22-10=12

12 x 10 = 120

120 + 78.5 = 198.5 cm squared

Step-by-step explanation:

What percent is equivalent to 1 Over 20

Answers

Answer:

5%

Step-by-step explanation:

To find this percent, first divide 1 by 20.

1/20 = 0.05

Now, convert this decimal to a fraction by moving the decimal point 2 places to the right.

0.05 = 5%

Hope this helps! Feel free to ask me any questions :)

Answer:

5%

Step-by-step explanation:

1/20 = 5/100

5/100 equals 5%

What is the value of 4 x minus 7 when x = 4?

Answers

Answer: 9

Step-by-step explanation: Here, we have the expression 4x - 7 and we want to evaluate the expression when x is equal to 4.

To evaluate an expression, we simply plug the value

of the variable into the expression and solve.

So here, since x is equal to 4, we have 4(4) - 7.

4(4) is equal to 16.

So we have 16 - 7 which is equal to 9.

So the value of our expression when x is equal to 4 is 9.

Answer:

9

Step-by-step explanation:

4x - 7 ( x=4)

4 × 4 - 7

16 - 7

9

30 points !!!please help is this right???

Answers

Answer:

-3k +10

Step-by-step explanation:

-3k - (-8) +2

Subtracting a negative is like adding

-3k +8+2

Combine like terms

-3k +10

Answer:

Its actually not. So first the -3k is already simplified. The --8 becomes +8

its -3k+8+2 =

-3k+10

At least I was first answerer. It really helps to get brainliest, I calculated average so for every 20 questions you get 1 brainliest. I am working my way up to brainliest and questions help. I am also working up to Master Answerer

If the nth term of a sequence is
on what is the 12th term?

If the nth term of a sequence is 28-3n what is the 7th term?​

Answers

Answer:

7

Step-by-step explanation:

The nth term is supposed to help us find the value of any number in the sequence. All we have to do is substitute n for 7, in this case

So, this is the general term.

= 28 - 3n

Now, to find the 7th term, we simply replace "n" with "7"

= 28 - 3(7)

Since "n" was being multiplied with 3, 7 is also going to be multiplied with 3.

= 23 - 21

= 2

which of the following sets of sides could NOT form a right triangle:
a 3 — 4 — 5
b 6 — 8 — 10
c 8 — 14 — 17
d 9 — 40 — 41

Answers

Answer: C. 8-14-17

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

Explanation:

Choice A is a non-answer because 3-4-5 does represent a right triangle. We can see so from the Pythagorean theorem

a^2+b^2 = c^2

3^2+4^2 = 5^2

9+16 = 25

25 = 25

We get a true equation, so (a,b,c) = (3,4,5) is a solution to a^2+b^2 = c^2

This confirms a 3-4-5 triangle is a right triangle.

------

The same steps can be used to show 6-8-10 is also a right triangle (note how each value has been doubled compared to 3-4-5). We can cross choice B off the list.

We can also see that choice D is a non-answer as well.

------

Choice C is the only thing left. The proper Pythagorean triple is actually 8-15-17.

Let's see what happens when a = 8, b = 14, c = 17

a^2+b^2 = c^2

8^2+14^2 = 17^2

64+196 = 289

260 = 289 .... false equation

We get a false equation, so a = 8, b = 14, c = 17 does not form a right triangle.

Find the area of the parallelogram.

Answers

______________________________

Hey!!

Base=15cm

height=5 cm

Area of parallelogram=b*h

=15*5

=75 cm^2

Hope this helps..

__________________________

Please help, due tomorrow

Answers

Answer:

E. CI = 102.79

Triangle ABC has measures a = 2, b = 2, and mzA = 30°.
What is the measure of angle B?
15°
30°
45°
60°

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

If the lengths of a and b are equal, the degrees of the angles should also be equal.

A horizontal line has points J, K, L. A line extends from point K up and to the right to point M. Angle J K M is (10 y + 6) degrees and angle M K L is (8 y minus 6) degrees
What is the value of y?
y =

Find the following angle measures.
mAngleJKM = °
mAngleMKL = °

Answers

Answer:

The found values are:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:

(See the diagram attached)

As JKL is a straight horizontal line, angle measure from JK to KL is 180°.

We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.

Which means that the sum of <JKM and <MKL is equals to 180°.

Mathematically, it can be written as:

[tex]<JKM+<MKL=180^\circ\\\\[/tex]

Substitute the values of both angle to solve the equation:

[tex](10y+6)+(8y-6) = 180\\18y=180\\y=\frac{180}{18}\\y=10[/tex]

Put in the formulas of both angle to find their values:

<JKM = 10y + 6

<JKM = 10(10)+6

<JKM = 106°

<MKL = 8y - 6

<MKL = 8(10)-6

<MKL = 74°

Answer:

y = 10

<JKM = 106°

<MKL = 74°

Step-by-step explanation:


Based on the graphic, which three-dimensional figure has the greatest volume?

A) the cylinder
B) the rectangular prism
C) the oblique rectangular prism
D) all three have the same volume

Answers

D . All three have same volume

Please help this is about be getting a 4/4 in my math class now I have 3/4 I want to get 4/4 please help...

Answers

Answer:

Step-by-step explanation:

Which of the following is a polynomial?
O A. (° - 4)
(x + 1)
O B. x-2-1
O c. 1+2
O D. x-2

Answers

Here A is the answer because it has more terms i guess

helppppoppooppppppppp.

Answers

...........It’s B........

Which of the following is a rational function?

Answers

Answer:

the answer is A

Step-by-step explanation:

a rational function is a ratio of two polynomial that has a denominator and numerator and can not be zero

Which choice is equivalent to the fraction below

Answers

Answer:

C

Step-by-step explanation:

a fraction will almost always be division

Answer:

C

Step-by-Step explanation:

6/17 = 0.35

Suppose a rock in free fall is dropped off a cliff. After falling 5 seconds, its
speed will be 100 m/s.
A. True
B. False

Answers

Answer:

B

Step-by-step explanation:

You can use an equation from physics to help with this.

[tex]v_f=v_o+at[/tex]

Since the initial velocity is 0, you can set up the following equation:

[tex]v_f=0+(10)(5)\\\\v_f=50\neq 100[/tex]

Hope this helps!

Find the linear equations written in standard form. Select all that apply.
x + y = -1
-3.x = y
x + 4y = 0
y = 5x - 2
x = 3 -0.17
8x – 3y = 20

Answers

Answer:

Step-by-step explanation:

A linear equation in "standard form" looks like Ax + By + C = 0,  or

Ax + By = D

x + y = -1 :  is in standard form:  A = 1, B = 1 and D = -1

-3.x = y :  NOT in standard form

x + 4y = 0   is in standard form

y = 5x - 2   NOT in standard form

x = 3 -0.17   NOT

8x – 3y = 20  is in standard form

Answer:

A. x + y = -1

C. x +4y = 0

F. 8x - 3y = 20

Step-by-step explanation:

Edge 2023

The shortest route from London to Cambridge is 60 miles. A lorry is expected to take 1.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 1.5 hours. By how many more mph than the expected speed does the lorry travel?

Answers

Answer: 8 miles per hour

Step-by-step explanation:

Speed = distance / time

When diatance is 60 miles

Speed = 60 / 1.5 = 40 miles per hour

When distance is 20% more (72 miles)

Speed = 72 / 1.5 = 48 mph

can someone help with this?

Answers

Answer:

Figure 1

The coordination of D is (a,0) and E is (b,c)

figure 2

The coordination of D is (0,b) and E is (a,0)

Please somebody help me with this ASAP!!!

Answers

Answer:

Please mark me brainliest and I hope this helps!

Answer: 52

Step-by-step explanation:

The length of the path is shown by the lines that trace the outside of the shape. The lines are equal to: 13 + 13 + 9 + 3 + 4 + 10

That is equal to 26 + 9 + 7 + 10.

Which is equal to 35 + 17.

And our final answer is 52.

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