Solve 3x − x + 2 = 12.

Answer:

2 and 8

Step-by-step explanation:

let the numbers be x and y , then

[tex]\frac{x+y}{2}[/tex] = 5 ( multiply both sides by 2 ) ← AM

x + y = 10 → (1)

[tex]\sqrt{xy}[/tex] = 4 ( square both sides ) ← GM

xy = 16 → (2)

From (1) , expressing x in terms of y

x = 10 - y ← substitute into (2)

(10 - y)y = 16

10y - y² = 16 ( subtract 16 from both sides )

10y - y² - 16 = 0 ( multiply through by - 1 )

y² - 10y + 16 = 0 ← in standard form

(y - 2)(y - 8) = 0 ← in factored form

Equate each factor to zero and solve for y

y - 2 = 0 ⇒ y = 2

y - 8 = 0 ⇒ y = 8

Substitute into (1)

x + 2 = 10 ⇒ x = 8 or x + 8 = 10 ⇒ x = 2

The 2 numbers are 2 and 8

Answer:

x - 9

Step-by-step explanation:

Answer:

bguiyhvulcvougtjglctvtgulvugtfvufygbgl

Step-by-step explanation:

Answer:

Image result for 1.117 ounces of orange juice in a 6.25-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT orange juice

In the US, reduced- acid orange juice is marketed to persons with sensitive stomachs. Orange juice concentrate can be bought with different ratios – typical values lie between 14 and 17. Juice acidity is measured using a chemical titration method. Orange juice contains acids that release hydrogen ions (H+) in solution.

Step-by-step explanation:

Step-by-step explanation:

Solution,

Let the total number of books be x, then

Books in English language=4800

40% of x=4800

40/100×x=4800

40x/100=4800

40x=4800×100

40x=480000

x=480000/40

x=12000

So the total number of books in the library is 12000.

Answer: x= 26

Step-by-step explanation:

27+x+127 = 180(being linear pair)

or, x + 154 = 180

or, x = 180-154

so, x = 26

Answer:

26

Step-by-step explanation:

Here,

27+ 127+ x =180

154+ x = 180

x =180-154

x=26

hope it is helpful

Answer:

5

Step-by-step explanation:

This trick works with 3:

If the sum of the digits of a number is divisble by 3 then the number is divisble by 3.

44 is not divisble by 3 because 4+4=8 is not divisble by 3.

45 is divisble by 3 because 4+5=9 is divisble by 3.

46 is not divisble by 3 because 4+6=10 is not divisble by 3.

47 is not divisble by 3 because 4+7=11 is not divisble by 3.

54 is divisble by 3 because 5+4=9 is divisble by 3.

55 is not divisble by 3 because 5+5=10 is not divisble by 3.

56 is not divisble by 3 because 5+6=11 is not divisble by 3.

57 is divisble by 3 because 5+7=12 is divisble by 3.

64, 65,67 are not divisble by 3 because their digits' sums are 10,11, and 13 respectively. 66 is a winner because 6+6=12 is divisble by 3.

Finally 7...

74,76,77 are not divisble by 3 because their digits' sums are 11,13, and 14 respectively. 75 is divisble by 3 because 7+5=12 is divisble by 3.

The victors are

45

54

57

66

75

Answer:

the answer is b

Step-by-step explanation:

i did this alrdy

Answer:

(-6, 3)

Step-by-step explanation:

If you rotate the coordinates, (2, -3), 90° clockwise around the point, (1, 4), then it will become Point P' at (-6, 3). There isn't a very efficient way to explain this but since Point P is 7 units south and 1 unit east of (1, 4) we need to keep it the same distances away when we turn it 90°. You can use something like parchment paper, record the point you're turning it around, (1, 4), and the point to be turned, Point P at (2, -3). If you rotate it exactly 90° without ever moving the point on (1, 4), Point P should now be at (-6, 3) if that makes sense.

Answer:

f(- 4) = 12

Step-by-step explanation:

To evaluate f(- 4) substitute x = - 4 into f(x) , that is

f(- 4) = - 8 - 5(- 4) = - 8 + 20 = 12

f(x)=-8-5x

[tex]\\ \rm\longmapsto f(-4)[/tex]

[tex]\\ \rm\longmapsto -8-5(-4)[/tex]

[tex]\\ \rm\longmapsto -8+20[/tex]

[tex]\\ \rm\longmapsto 12[/tex]

Answer:

x=7

Step-by-step explanation:

55=2x+(x+4)+[3(x+3)]

55=2x+x+4+3x+9

55=6x+13

55-13=6x

42=6x

7=x

Answer:

Step-by-step explanation:

Perimeter is the sum of side lengths:

Solve for x:

Answer:

2 + 2 = 4

Step-by-step explanation:

Logically, the response of 2 + 2 = 4. This is because the sign in the problem is addition. Another way to look it,  If we have 2 oranges and have another 2 oranges we have four oranges.

Answer:

17

Step-by-step explanation:

these positive integers are :

4, 64, 124, 184 ... , 964

964 = 4 + (n-1) (60)

964 = 4 + 60n -60

964 = 60n -56

60n = 1020

n = 1020/60

n = 17

so, the number of special integers smaller than 1000 are = 17

Answer:

the answer is in picture

Answer:

x=5/2y+4

Step-by-step explanation:

Answer:

the decimal expansion of an irrational number will be non terminating and non recurring

[tex]\boxed{\sf a(b+c)=ab+ac}[/tex]

[tex]\\ \sf\longmapsto 6(x+y)[/tex]

[tex]\\ \sf\longmapsto 6(x)+6(y)[/tex]

[tex]\\ \sf\longmapsto 6x+6y[/tex]

Hello :D

2 x $20 = $40

$9.09 + $13.96 = $23.05

$40.00 - $23.05 = $16.95

The answer is $16.95. I hope this helps :)

Answer:

900

Step-by-step explanation:

1/3 + 2/5 = 11/15

4/15 = 240

4/15 x = 240

4x = 3600

x= 900

Answer: Self Guidance. A slope of -3/4 and a y intercept doesn't look like any of them

Step-by-step explanation:

A slope of -3/4 and a y-intercept of 3/2 looks like this. After, maybe you can try it on your own. Hope this helps

Answer:

There’s not

Step-by-step explanation:

It’s 618

Answer:

y = x - 9 + 3 +3.

Step-by-step explanation:

.

Answer:

(0, 1 ) and ([tex]\frac{1}{2}[/tex], [tex]\frac{1}{2}[/tex] )

Step-by-step explanation:

Given the 2 equations

x³ - xy = 0 → (1)

x + y = 1  → (2) ( subtract x from both sides )

y = 1 - x → (3)

Substitute y = 1 - x into (1)

x² - x(1 - x) = 0

x² - x + x² = 0

2x² - x = 0 ← factor out x from each term on the left side

x(2x - 1) = 0

Equate each factor to zero and solve for x

x = 0

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

Substitute these values into (3) for corresponding values of y

x = 0 : y = 1 - 0 = 1 ⇒ (0, 1 )

x = [tex]\frac{1}{2}[/tex] : y = 1 - [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex] ⇒ ( [tex]\frac{1}{2}[/tex], [tex]\frac{1}{2}[/tex] )

Answer:

m<WYX = 31°; m<WYZ = 59°

The measure of the angle ∠WYX and ∠WYZ will be 31° and 59°.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

m∠WYX = (2x − 7)° and m∠WYZ = (3x + 2)°.

If ∠WYX and ∠WYZ are complementary, then the sum of the angles ∠WYX and ∠WYZ will be 90°.

Then the equation will be

∠WYX + ∠WYZ = 90°

2x - 7 + 3x + 2 = 90

             5x - 5 = 90

             5x = 90 + 5

             5x = 95

               x = 95 / 5

               x = 19

Then the measure of the angle ∠WYX will be

∠WYX = (2x − 7)°

∠WYX = (2 × 19 − 7)°

∠WYX = (38 − 7)°

∠WYX = 31°

Then the measure of the angle ∠WYZ will be

∠WYZ = (3x + 2)°

∠WYZ = (3 × 19 + 2)°

∠WYZ = (57 + 2)°

∠WYZ = 59°

The measure of the angle ∠WYX and ∠WYZ will be 31° and 59°.

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Answer:

i angle EFB

ii BFC and AFC

Step-by-step explanation:

Answer:

i .angle AFC

iiAFC and AFB

Answer:

4

......................

[tex] = \frac{(1 + \sqrt{5}) }{(3 + \sqrt{5}) } \\ [/tex]

[tex] = \frac{(1 + \sqrt{5}) }{(3 + \sqrt{5} )} \times \frac{(3 - \sqrt{5} )}{(3 - \sqrt{5}) } \\ [/tex]

[tex] = \frac{1(3 - \sqrt{5}) + \sqrt{5} (3 - \sqrt{5} )}{ ({3})^{2} - { (\sqrt{5} })^{2} } \: \: [∵ {a}^{2} - {b}^{2} = (a + b)(a - b) ]\\ [/tex]

[tex] = \frac{3 - \sqrt{5} + 3 \sqrt{5} - 5 }{9 - 5} \\ [/tex]

[tex] = \frac{ - 2 + 2 \sqrt{5} }{4} \\ [/tex]

[tex] = \frac{2( - 1 + \sqrt{5} )}{4} \\ [/tex]

[tex] = \frac{ - 1 + \sqrt{5} }{2} \\ [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{}}}}}[/tex]

Answer:

m = -18

Step-by-step explanation:

6 + m/2 = -3

Subtract 6 from each side

6 + m/2 -6 = -3-6

m/2 = -9

Multiply each side by 2

m/2 * 2 = -9*2

m = -18

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{6+ \dfrac{m}{2}=-3}}}\\\huge\boxed{\rightarrow\mathsf{6 + \dfrac{1}{2}m = -3}}[/tex]

[tex]\huge\boxed{\rightarrow \mathsf{\dfrac{1}{2}m+ 6 = -3}}\\\\\huge\boxed{\text{SUBTRACT 6 to BOTH SIDES}}\\\huge\boxed{\mathsf{\dfrac{1}{2}m + 6 - 6 = -3 + 3}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m = -9}}[/tex]

[tex]\huge\boxed{\text{MULTIPLY 2 to BOTH SIDES}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m \times 2 = 2 \times -9}}[/tex]

[tex]\huge\boxed{\mathsf{m = 2\times-9}}\\\huge\boxed{\mathsf{2\times-9 = m}}\\\huge\boxed{\mathsf{2\times-9 = \bf -18}}\\\\\huge\boxed{\textsf{Therefore, your answer: \bf -18}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

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

Explanation:

If you used scissors to cut a vertical slice down the lampshade, then it can be unrolled to form a rectangle.

The horizontal portion of this rectangle is the distance around the circle, which is the perimeter of the circle, or the circumference. That's C = 2pi*r. Check out the diagram below to see what I mean.

The diagram shows that the diameter is 20 cm, so the radius is half that at 20/2 = 10 cm.

The circumference is C = 2*pi*r = 2*pi*10 = 20pi cm exactly

The height of the rectangle is the height of the cylinder, which is h = 30 as shown in the diagram.

The area of the rectangle is length*height = (20pi)*(30) = 600pi square cm exactly.

If we were to use something like pi = 3.14, then its approximate area is 600*pi = 600*3.14 = 1884 square cm

Let's bump this up by 10%. To do so, we'll multiply by 1.10

1.10*1884 = 2072.4

Answer: $ 927

Step-by-step explanation:

20% is deducted from his check.

20/100 = x/4635 (cross multiplication)

= $927

The deducted amount for each month will be $77.25.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Fred's health insurance premium is $4635 annually.

And, His employer pays 80% and he is paid monthly.

Now,

Since, His employer pays 80% and he is paid monthly.

Hence, The percent of deducted salary = 20%

So, The deducted amount of each month = 20% of $4,635 / 12

                                                                = 20/100 × 4635 / 12

                                                                = $927 / 12

                                                                = $77.25

Thus, The deducted amount of each month = $77.25

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