What is the decimal form of the fraction?

[tex]x^2+10x+22=13\\x^2+10x+22-13=0\\x^2+10x+9=0\\[/tex]

Now completing the square.

[tex](x^2+10x)+9=0\\(x^2+10x+25)+9-25=0\\(x+5)^2-16=0\\(x+5)^2=16[/tex]

(x+5)² = 16 is the rewritten equation... For first question btw.

For the solutions to the equation -

[tex]x+5=\sqrt{16},-\sqrt{16} \\x+5=4,-4\\x=4-5,-4-5\\x=-1,-9[/tex]

x = -1,-9 is the solution, for the second question.

Answer:

4.5 feet

Step-by-step explanation:

Answer:

The answer is 50 degrees

Step-by-step explanation:

The small box at the corner of the triangle indicates that the triangle is exactly 90 degrees, or a right angle. In order to solve the expression, you would need to do 40 + x = 90, which would be x = 50

Answer:

It should be 40 degrees, If you have a protractor, you could measure it.

Step-by-step explanation:

I think it's 40 degrees because if you fold it in half, it would probably match.

Not the best explanation, sorry.

Answer:

Number of points need = 6 points

Step-by-step explanation:

Given:

New average = 5

Points peter has = 44

Total quiz play = 9

Find:

Points required for average of 5

Computation:

Total number of match = 9 + 1

Total number of match = 10

Average points = 5

Assume;

Number of points need = x

So,

Average points = [Total points] / Total number of match

5 = [44+x] / 10

50 = 44 + x

x = 6

Number of points need = 6 points

The score does Peter needs on his tenth and final quiz in order to have a final quiz average of 5 is 6 and this can be determined by using the formula of average.

Given :

Peter scored a total of 44 points on 9 math quizzes.

The following steps can be used in order to determine the score of the tenth quiz:

Step 1 - The formula of average can be used in order to determine the score of the tenth quiz.

Step 2 - According to the given data, Peter scored a total of 44 points on 9 math quizzes. Now, let the score of the final tenth quiz be 'x'.

Step 3 - The average of the 10 quizzes is given by:

[tex]\dfrac{44 + x }{10}=5[/tex]

Step 4 - Simplify the above expression in order to determine the value of 'x'.

50 = 44 + x

x = 6

For more information, refer to the link given below:

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Answer:

10 weeks

Step-by-step explanation:

Let's set an equation for you and your brother.

You have $90 plus $18 for every week you save (x).

90+18x

And your brother has $120 plus $15 dollars per week that he saves (x)

120+15x

You want to have the sum of the money equal so combine the two concluded statements

90+18x=120+15x

Arrange them so that you have like terms on each side

90+18x-15x=12+15x-15x

90+3x=120

90-90+3x=120-90

3x=30

x=10

"x" is our number of weeks you and your brother save so the answer is 10 weeks

Just to be sure you can use our equation and plug 10 for every time you see x to make sure our answer is right.

Answer:

x=8

Step-by-step explanation:

2x-3-4(2x-3)=17-7x

2x-3-8x+12=17-7x

-6x+9=17-7x

x= 8

Answer:

Yvonne should pick mixture B which has a lesser concentration of chili oil.

Step-by-step explanation:

Bob's soup concentration = 18 drops / 4 cups = 9 drops / 2 cups = 4.5 drops/cup

A. 18 / 2 = 9 drops/cup which is a greater concentration

B. 18 / 5 = 3.6 drops/cup which is a lesser concentration

C. 20/ 4 = 5 drops/cup which is a greater concentration

D. 22/ 4 = 5.5 drops/cup which is a greater concentration

Answer:

X^2 - 3

Is the answer

Step-by-step explanation:

Use a^2 - b^2 = ( a - b) (a + b)

a = x

b =

[tex]b = \sqrt{3} [/tex]

Answer:

x = 25/9 or 2.777777778

Step-by-step explanation:

4(2-x) = 5x - 17

8 - 4x = 5x - 17

   +4x   +4x

8 = 9x - 17

+17      +17

25 = 9x

25/9 = x

x = 2.777777778 or 25/9

Answer:

m∠MON = 15°

Step-by-step explanation:

The given parameters are;

m∠LON = 77°

m∠LOM = 9·x + 44°

m∠MON = 6·x + 3°

By angle addition postulate, we have;

m∠LON = m∠LOM + m∠MON

Therefore, by substituting the known values, we have;

∴ 77° = 9·x + 44° + 6·x + 3°

77° = 9·x + 44° + 6·x + 3° = 15·x + 47°

77° = 15·x + 47°

77° - 47° = 15·x

15·x = 77° - 47° = 30°

15·x = 30°

x = 30°/15 = 2°

x = 2°

Given that m∠MON = 6·x + 3° and x = 2°, we have;

m∠MON = 6 × 2° + 3° = 12° + 3° = 15°

m∠MON = 15°.

Answer:

The numbers in bold are the blanks.

Step-by-step explanation:

7/5 + 3/8 = 56/40 + 15/40 = 71/40

Answer:

1 31/40 or

71/40

Step-by-step explanation:

7/5+3/8=56/40+15/40=71/40=1 31/40

Answer:

Step-by-step explanation:

36 times 36 is 1,296

Answer:

where's the problem at like the work sheet?

Answer:

Sale price of a sweat shirt is $15.30 and a soccer ball is $21.08.

Step-by-step explanation:

A). Usual price of a sweat shirt is = $18

Sale price of the sweat-shirt is 85% of the usual price.

Therefore, Sale price = 85% of $18

=

= $15.30

B). Usual price of a soccer ball is = $24.80

Sale price of the soccer ball is 85% of its usual price.

Therefore, Sale price = 85% of $24.80

=

= $21.08

Therefore, sale price of a sweat shirt is $15.30 and a soccer ball is $21.08.

heres the real answer hope it helps :)

Answer:

360

Step-by-step explanation:

thank me later :)

Answer:

3,600 degrees

Step-by-step explanation:

I had this on my test and got it right

Answer:

hey! i dont recommend putting that much points into one question, it lowers your point value meanig, you cant answer more questions than you usually can

Step-by-step explanation:

The speed of car is 45.3 miles per hour.

Further explanation:

Speed is the rate at which an object changes position with respect to time.

Given

The formula for calculating speed is:

The speed of car is 45.3 miles per hour.

Keywords: Speed, distance

Learn more about speed at:

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#LearnwithBrainly

Answer:

x = -4

Step-by-step explanation:

1=5(x+1)+16

1=(5)(x)+(5)(1)+16 (Distribute)

1=5x+5+16

1=(5x)+(5+16)(Combine Like Terms)

1=5x+21

5x+21=1

5x+21−21=1−21

5x=−20

5x/5=−20/5

x=−4

Answer:

value of x is -4

Step-by-step explanation:

All you need to do is replace f(x) for 1.

1 = 5(x+1) + 16

backwards solve;

1 = 5x+5 +16

1=5x+21

1-21=5x

-20=5x

x=-4

That's all.

If it asks you if x=1, then just plug in 1 where ever x is. f(x) is symbolic of y.

Answer:

$3.77 * 10^7

Step-by-step explanation:

$35,200,000 + $2,500,000 = $37,700,000 = $3.77 * 10^7

Answer:

Step-by-step explanation:

Converting numbers into scientific notation:

Answer:

213mi^2

Step-by-step explanation:

Answer:x

+

4

Explanation:

Product is the answer to a multiplication.

The multiplicative inverse is the same as the reciprocal.

(

5

x

+

20

)

×

1

5

=

5

x

+

20

5

=

x

+

4

Step-by-step explanation:

Answer:

x+4

Step-by-step explanation:

This is because the multiplicative inverse of 5 is the reciprocal, or 1/5. This is then multiplied (distribution) to (5x+20), simplifying to x+4.

Answer:

any of the factors of a product considered in relation to a specific factor especially : a constant factor of a term as distinguished from a variable. 2a : a number that serves as a measure of some property or characteristic (as of a substance, device, or process) coefficient of expansion of a metal. b : measure

Step-by-step explanation:

Answer:

in math it is this:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy).

in physics it is this:

a multiplier or factor that measures some property

Step-by-step explanation:

Answer:

angle bisector

Step-by-step explanation:

because you are given the two angles that both measure 35

Answer:

3 is not 4 is proportional

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Given that:

Number of white balloon = 24

Number of maroon Ballon = 32

Number of orange Ballon = 16

To obtain the greatest number of arrangements ;

Find the greatest common factor of 24, 16 and 32

Factors of ;

24 = 1, 2, 4, 6, 8, 12, 24

16 = 1, 2, 4, 8, 16

32 = 1, 2, 4, 8, 16, 32

Hence, the greatest factor common to all three is : 8

Hence greatest number of arrangement that can be achieved is 8

Answer:

(0, 2) or C

Step-by-step explanation:

The solution to the system of linear equations is (0,2). The correct option is C.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

It is given that in a coordinate grid with 2 lines. The first line labelled f(x) passes through (-3, 3), (0,2), and (3, 1). The second line labelled g(x) passes through the points at (-3, 0) and (0, 2).

Plotting the two lines by using the points on the graph. After plotting the points there will be two lines that will intersect at the point ( 0, 2 ). Then the solution of the equation is ( 0,2).

Therefore, the solution to the system of linear equations is (0,2). The correct option is C.

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Answer:

Your equation is y= 1/3x + 2

and your first point is (3,3) Hope this helps

Step-by-step explanation:

x-3y=-6

-x       -x

-3y=-x-6

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

      -3

y= 1/3x + 2

Answer:

y=1/3x+2 is your equation in slope intercept form

Step-by-step explanation:

on will be at (0,2) and the other would be at (3,3) then your next one would be  (6,4)