4. There are two numbers that add together and the result is 63. If you subtract the same number together, the result is 28.
a) Create two equations from the statement above. Make sure to specify what each variable means.
b) Solve the system of equations by Elimination.​

Answer:

9

Step-by-step explanation:

To answer this we add 8 to both sides:

x-8+8 = 1+8

x = 9

This is our answer

Given:-

To find :-

Solution :-

X - 8 = 1

X = 1 + 8 ( signs change when transferred to opposite side )

X = 9

Domain:-

For any real x function is not undefined .

Codomain belongs to R+

Range:-

Hence

Applying the area of trapezium, the approximate area filled by water in the picture would be close to: about 48 in.²

Area of trapezium = 1/2(a + b)h.

The following are dimensions of the area of the trapezium filled with water:

Area = 1/2(6 + 8) × 6 = 42 in.²

Therefore, applying the area of trapezium, the approximate area filled by water in the picture would be close to: about 48 in.²

Learn more about area of trapezium on:

https://brainly.com/question/16904048

Answer:

0.008791747

Step-by-step explanation:  

0.000879  

x       1.028

-------------------

         0167

       01580

   000000

08790000

---------------------

  8791747

0.000879 and 1.028 have NINE decimal places total, so add NINE decimal places from the LEFT to the above answer.

Final answer: 0.008791747

I hope this helps!

Answer:

The Third one.

Step-by-step explanation:

So, Turn the mixed number, 2 1/4, to an improper fraction, 9/4. Then match the answer!

If you need anything else, just message me!

Have a nice day! :)

Listen ducky: 81x-27x=9

54x=9

X=1

---

6

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

Here we go ~

[tex]\qquad \tt \dashrightarrow \:81x - 27x = 9[/tex]

[tex]\qquad \tt \dashrightarrow \:9(9x - 3x )= 9[/tex]

[tex]\qquad \tt \dashrightarrow \:(9x - 3x )= 1[/tex]

[tex]\qquad \tt \dashrightarrow \:6x = 1[/tex]

[tex]\qquad \tt \dashrightarrow \:x = \cfrac{1}{6} [/tex]

Answer:

She would have two leftover slices

Step-by-step explanation:

Answer:

She gave each children 1 piece of pie. She will have 2 leftover slices so she can cut both in half and each child can get another half of a single pie.

The value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π​, is 0.906.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees. The formula for cos compound angle using angle sum theorem can be given as,

[tex]\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)[/tex]

The exact value of cos (a+b)  has to be find out. It is given that,

[tex]\cos a= \dfrac{3}{5}[/tex]

The value of a is lies between 0<a< π/2. The value of other side of the triangle using the Pythagoras theorem,

[tex]5^2={x^2+3^2}\\x^2=25-9\\x=\sqrt{16}\\x=4[/tex]

Thus, the value of sin a is 4/5 from the trigonometry ratio. the value of sine b is,

[tex]\sin b = -\dfrac{8}{17}[/tex]

The value of b is lies between  3π / 2 <b < 2 π​. The value of the other side of the triangle using the Pythagoras theorem,

[tex]17^2={(-8)^2+y^2}\\y^2=289-64\\y=\sqrt{225}\\y=15[/tex]

Thus, the value of cos b is, 15/17. Put the values in above formula,

[tex]\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)\\\cos (a+b)=\dfrac{3}{5}\times\dfrac{15}{17}-\dfrac{4}{5}\times\dfrac{-8}{17}\\\cos (a+b)=\dfrac{9}{17}+\dfrac{32}{85}\\\cos (a+b)=0.906[/tex]

Thus, the value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π​, is 0.906.

Learn more about the triangle angle sum theorem here;

https://brainly.com/question/7696843

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Answer:

16

Step-by-step explanation:

Hope this helps

Answer:1/2

Step-by-step explanation: after giving some to her brother she has 5/6 left to take 1/3 from that you need to make it have a common denominator. to do that multiply it by 2 so you get 2/6. then do 5/6-2/6=3/6. 3/6 simplied is 1/2.

Answer:

The equation  sets the parabola. You can find the parabola vertex as:

then

This means that the maximum height is 11.375 m and a projectilereaches this height at 1.25 seconds.

The projectile initially launched at time t=0, so the initial height is h(0)=2 m

Step-by-step explanation:

Answer:

20.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

9 pi = 2 * pi *r

Divide each side by 2pi

9pi / 2 pi = 2 pi r / 2 pi

4.5 = r

Now we can find area

A = pi r^2

= pi ( 4.5)^2

20.25 pi

Using the proportional relationship, it is found that the correct statement regarding the slope of the relation is:

The slope of the line is of 25, so the distance traveled by Tim is 25 miles every hour.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality, which is also called the slope.

Researching the problem on the internet, it is found that in 2 hours, Tim traveled 50 miles, hence:

k = 50/2 = 25.

The slope of the line is of 25, so the distance traveled by Tim is 25 miles every hour.

More can be learned about proportional relationships at https://brainly.com/question/10424180

Answer:

Step-by-step explanation:

Opposite angles of a cyclic quadrilateral sum to 180 so

m < x = 180-105 = 75 degrees

m < y = 180 - 95 = 85 degrees.

The first sentence is correct.

Answer: We were surprised when my cousin jason attended our family reunion.

Step-by-step explanation: I took the k12 quiz and got it right.

The total amount which Todd will have after 4 years is $1,178

The total amount which Alexis will have after 4 years is $1,184

1050 + 32(4)=

1050 + 128

= $1,178.

For Alexis

(P x T x R)/100

(1050 x 4 x 3.2)/100

=13400/100

=$134 interest after 4 years.

Therefore, 1050 + 134

=$1,184.

Answer: 78

Step-by-step explanation:

just add the time all together then this will be your answer.

Answer: 782

Step-by-step explanation

It says it made a w

Answer:

Part A: Andy is incorrect

Part B: 3/20

Step-by-step explanation:

Part A: Since Andy:

Actions dvds = 3/5

Comedy dvds = 1/4

or = Add

3/5 + 1/4

12 + 5 /20 = 17/20

Thus, it doesn't equal to 4/9.

Part B: He needed to make 3/5 = 12/20 and 1/4 = 5/20.  Adding these together would be 17/20, making 3/20 of them NOT action or comedy.  17/20 + 3/20 = 20/20 or the total.

Therefore, 3/20 of them Not action or comedy.

~lenvy~

A proportion is a mathematical comparison between two ratios.

A ratio is a comparison between two numbers.

For instance, the ratio of apples to bananas in a fruit basket is 1 apple to 2 bananas:

This is proportional to the ratio of apples to bananas in another fruit basket, which is 2 apples to 4 bananas:

To write a proportion from this information, we can compare the ratios by makign them equal to each other:

We're given:

$118 per week is one ratio:

$472 per 4 weeks is another ratio:

Now, set them equal to each other to create a proportion:

Therefore, the proportion is [tex]\dfrac{118}{1}=\dfrac{472}{4}[/tex].

Answer:

193.4 meters squared

Step-by-step explanation:

Area of rectangle = 7 X 15 = 105

Area of semi circle = 1/2 X π X R^2

R = 7.5

R squared = 56.25

π = 3.1415932654........

1/2 X 3.1415.... X 7.5^ 2 = 88.35729338

Rounded to one decimal place = 88.4

105 + 88.4 = 193.4m^2

Answer:

They are all even

Step-by-step explanation:

Answer:

3 cm

Step-by-step explanation:

To solve this problem, we can use the Arc Length Formula. This states that s = r · [tex]\bf \theta[/tex], where s = arc length, r = radius, and [tex]\theta[/tex] is the measure of the central angle (in radians).

From the problem, we are given that s = 6 cm, [tex]\theta[/tex] = 2, and we need to solve for r. Substituting these values into the equation gives us the following:

6 = r · 2

Solving the equation gives us r = 3 cm. Hope this helps!

Answer:

  D.  A travels 90 miles more

Step-by-step explanation:

The graph tells you Car A travels 140 miles on 5 gallons of gas. (There is a point marked there on the graph.)

The table tells you Car B travels 99 miles on 4.5 gallons of gas. When that is multiplied by 5/4.5 = 10/9 to get the equivalent for 5 gallons, we see that Car B could travel 10/9 × 99 = 110 miles on 5 gallons of gas.

__

Already on 5 gallons of gas, Car A has traveled 30 miles farther. The only sensible answer choice is ...

  D.  Car A travelled 90 miles more than Car B [when 15 gallons are used].

Answer:

check the image for solution

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just imagine that they are folding and what they would fold into.

this kind of question is a memory test.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

Answer:

8 in

Step-by-step explanation:

Area=(1/2)*(p1+p2)*d