What number is 5 units to the left of 12 on the number line?

Answer:

12, 15, 24

Step-by-step explanation:

Let 1st # = x

Let 2nd # = x+3

Let 3rd # = 2x

Your equation is: x + (x+3) + 2x = 51

Add up all the x: x + x +3 +2x =51

Subtract 3 from both sides: 4x + 3 - 3 = 51 - 3

Divide 4 from both sides: 4x / 4 = 48 / 4

Your 1st number is x = 12

For the 2nd # it is 3 more than x so 12 + 3 = 15

For the 3rd # it is 2 times x so 2(12) = 24

Check your answers by adding up the numbers you solved: 12 + 15 +24 = 51

Does it equal to 51 as stated in the question? Yes, answers check out.

Answer:

RT = 25.5

Step-by-step explanation:

RT = RS + ST = 17 + 8.5 = 25.5

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

1. Approach

The most logical steps to solve the given equation are to distribute and simplify the left side of the equation. Then use inverse operations to bring all of the terms to the left side of the equation. After doing so, one can factor the equation again, then use the zero-product property to solve it.

2. Simplify

Distribute the terms on the left side, multiply everything in the first parenthesis by everything in the second,

[tex](x+1)(x-11)=-36[/tex]

[tex](x)(x)+(1)(x)+(-11)(x)+(1)(-11)=-36[/tex]

Simplify this expression by performing the multiplication and then combining like terms,

[tex](x)(x)+(1)(x)+(-11)(x)+(1)(-11)=-36[/tex]

[tex]x^2+x-11x-11=-36[/tex]

[tex]x^2-10x-11=-36[/tex]

Inverse operations,

[tex]x^2-10x-11=-36[/tex]

[tex]x^2-10x+25=0[/tex]

3. Factor and solve,

Now that has the simplified version of the equation, one should factor it. Rewrite the quadratic expression as a product of two linear expressions,

[tex]x^2-10x+25=0[/tex]

[tex](x-5)^2=0[/tex]

Use the zero product property to solve this expression. The zero product property states that any number times zero equals zero. Since ([tex](x-5)^2[/tex]) is just ([tex]x-5[/tex]) multiplied by itself, thus, when solving, one can ignore the square part of the equation:

[tex](x-5)^2=0[/tex]

[tex]x-5=0[/tex]

Inverse operations,

[tex]x-5=0[/tex]

[tex]x=5[/tex]

Answer:

44 sq. ft

Step-by-step explanation:

5(2^2) = 20

4(3x2) = 24

20+24 = 44

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601

Hi ;-)

Equation 1°

[tex]2(x+1)=-8x+8(x-2)\\\\2x+2=-8x+8x-16\\\\2x+8x-8x=-16-2\\\\2x=-18 \ \ /:2\\\\\huge\boxed{x=-9}[/tex]

Equation 2°

[tex]4(7+2x)=-2(x+4)+4x\\\\28+8x=-2x-8+4x\\\\8x+2x-4x=-8-28\\\\6x=-36 \ \ /:6\\\\\huge\boxed{x=-6}[/tex]

Answer:

C

Step-by-step explanation:

We want to solve the inequality:

[tex]\displaystyle 5.1(3 + 2.2x) > -14.25 - 6(1.7x+4)[/tex]

Distribute:

[tex](15.3+11.22x) > -14.25 + (-10.2x-24)[/tex]

Combine like terms:

[tex]15.3 + 11.22x > -10.2x-38.25[/tex]

We can add 10.2x to both sides:

[tex]15.3 + 21.42x > -38.25[/tex]

Subtract 15.3 from both sides:

[tex]21.42x > -53.55[/tex]

And divide both sides by 21.42. Hence:

[tex]\displaystyle x > -2.5[/tex]

This means all values greater than -2.5. Hence, in interval notation:

[tex](-2.5, \infty)[/tex]

In conclusion, our answer is C.

Step-by-step explanation:

[tex] \frac{10}{6} \\ \frac{15}{9} \\ \frac{20}{12} [/tex]

Answer:

She makes $2,250/day

Step-by-step explanation:

$75 x 6 = $450 (amount of patients seen)

$450 x 6 = $2,700 (amount of hours she works)

$2,700 - $450 = $2,250 (the cost of the building, reception desk, & insurance)

We are given that the doctor charges $75 for each patient

In each she sees an average of 6 patients so,

Charge each hr = $75(6) = $450

For each hr she receives $450

So, for 6 hrs she receives = $450(6) = $2700

She pays for all the stuff = $200 + $200 + $50 = $450

Profit = Selling Price - Cost Price

Profit = $2700 - $450

Profit = $2250

Answer:

960

Step-by-step explanation:

x=0.6x+384

0.4x=384

960

Answer:

960

Step-by-step explanation:

x = 0.6x + 384

Subtract 0.6x in both sides:

0.4x = 384

Divide both sides by 0.4:

x = 384/0.4

x = 960

Answer:

done the first 3

Step-by-step explanation:

5×-3=-15

2×4=8

3×-5=-15

(-15+8)²+-15

(-7)²+-15

-49-15

=-74

(2×-3×-6)²-5(4)

(36)²-20

1296-20

=1276

(-3×4×-5)+3(4)³

60+192

=252

Answers;

1. {(5x + 2y)}^{2} + 3z \\ {(5( - 3) + 2(4))}^{2} + 3( - 5) \\ {( - 15 + 8)}^{2} - 15 \\ {( - 7)}^{2} - 15 \\ 49 - 15 \\ 34 \\ \\ 2. \: 2 {(xz)}^{2} - 5y \\ 2 ({( - 3)( - 5)})^{2} - 5(4) \\ 2 {(15)}^{2} - 20 \\ 2(225) - 20 \\ 450 - 20 \\ 430

Answer:

they would each get 6 and there would be 2 left over

Step-by-step explanation:

3x6=18

20-18=2

=2 leftovers

Answer:

Each of the friends will get 6 with 2 small prizes remaing

Step-by-step explanation:

20 ÷ 6 = 18 remainder of 2

Ignore the 2 because you cannot split 2 evenly from 3 people.

So each friend gets 6, while there is a 2 remainder

To check our work just do 6 × 3 = 18 and 20 - 18 = 2

So, in conclusion, each friend get 6 while there are 2 small prizes left

Answer:

yes it is true

Step-by-step explanation:

write the first five elements then write their cubes then write the cubes in the same form

for eg:

4³=16= 3×5+1= 3n+1

7³=49=3×16 +1= 3n + 1

and so on till the fifth element...

Answer:

(5;3)

Step-by-step explanation:

Give your answer both.

The distance between the points (5, 0) and (0, 3) is approximately 5.83095 units.

To find the distance between two points, we can use the distance formula:

Distance = √[tex]((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]

Given the points (5, 0) and (0, 3), we have:

[tex]x_1 = 5, y_1 = 0\\\\x_2 = 0, y_2 = 3[/tex]

Substituting these values into the formula:

Distance = √[tex]((0 - 5)^2 + (3 - 0)^2)[/tex]

Distance = √[tex]((-5)^2 + (3)^2)[/tex]

Distance = √(25 + 9)

Distance = √34

The exact distance between the points is √34, which is approximately 5.83095 when rounded to five decimal places.

So, the distance between the points is approximately 5.83095 units.

To know more about distance, refer here:

https://brainly.com/question/24485622

#SPJ3

Answer:

It is y = x - 5

Step-by-step explanation:

General equation of a line:

[tex]{ \bf{y = mx + c}}[/tex]

m is the gradient, and c is y-intercept.

For gradient:

[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1}} [/tex]

substitute:

[tex]slope = \frac{1 - ( - 2)}{6 - 3} \\ \\ = \frac{3}{3} \\ slope \: = 1[/tex]

m = 1

for y-intercept:

consider point (6, 1):

[tex]y = mx + c \\ 1 = (6 \times 1) + c \\ 1 = 6 + c \\ c = 1 - 6 = - 5[/tex]

therefore:

[tex]{ \sf{equation \: is \: \{y = x - 5 \}}}[/tex]

Answer:

13:9 with 9 being unshaded

Step-by-step explanation:

i drew a similar grid, shaded them in in the way you specified, then counted the squares on either side. the i put the numbers in a fraction and simplified

Answer:

9,-9

Step-by-step explanation:

Because your opponent is in the positive while you are in the negative

Answer:

C. 164

Step-by-step explanation:

its self explanitory

Answer:

I think that some information is missing? what is the slope?

If you are trying to say that there is NO SLOPE then the

answer is " x = 4 "

Step-by-step explanation:

[tex]\\ \qquad\quad\sf\longmapsto 4x+9y-3=0[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 4(-m)+9(3)-3=0[/tex]

[tex]\\ \qquad\quad\sf\longmapsto -4m+27-3=0[/tex]

[tex]\\ \qquad\quad\sf\longmapsto -4m+24=0[/tex]

[tex]\\ \qquad\quad\sf\longmapsto -4m=-24[/tex]

[tex]\\ \qquad\quad\sf\longmapsto m=\dfrac{-24}{-4}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto m=6[/tex]

Answer:

-33/80

Step-by-step explanation:

3/20 - 9/16

(4)(3/20) - (9/16)(5)

12/80 - 45/80

= -33/80

Answer:

$2.20

Step-by-step explanation:

The tip is 10% of $22, or 0.1 * 22 = 2.2

So $2.20 (we can add a hidden 0 on the end)

Answer:

Sinθ = Opposite/hypotenuse

[tex] \sin(21) = \frac{x}{22} \\ 0.358 = \frac{x}{22} \\ x = 22 \times 0.358 \\ x = 7.88[/tex]

I hope I helped you^_^

Answer:

a. hundreds

55,600

b. thousandths

55,553.65500

Answer:

Step-by-step explanation:

y = kx

y = 20

x = 4

20 = k*4           Divide by 4

20/4 = k

k = 5

The equation is y = 5x

Answer:

18√2

Step-by-step explanation:

2√3 x 3√6

2 x 3 x (√6 x √3)

=> 6√18

=> 6√(3x3x2)

=> 6 x 3√2

=> 18√2