which values for x and y satisfy the following equations
y=x-1 and 2x + y=8

Answer:

Natasha can wrap 128 gifts in total

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ Natasha has 240 square feet of wrapping paper

∵ Natasha can wrap 8 gifts with 15 square feet

→ By using the ratio method

→  Gift  :  square feet

→   8     :  15

→   x      :  240

→ By using cross multiplication

∵ x × 15 = 8 × 240

∴ 15x = 1920

→ Divide both sides by 15

∵ x = 128

∵ x represents the number of gifts

∴ Natasha can wrap 128 gifts in total

Answer:ok

Step-by-step explanation:

n   jjbjnujg6t6ugyg  ffvjnjg

Step-by-step explanation

knjjbvfghjk,mn cxsertyuj

Answer:

x is 11

Step-by-step explanation:

We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)

Substitute the numbers into the equation

y--4=3/4(x-3)

simplify

y+4=3/4(x-3)

do the distributive property

y+4=3/4x-9/4

subtract 4 from both sides

y=3/4x-25/4

this is the equation of the line.

Since it says that (x,2) is a point in the equation, we can substitute it into the equation

2=3/4x-25/4

add 25/4 to both sides

33/4=3/4x

multiply by 4/3

11=x

we can double check by plugging (11,2) into the equation of the line.

2=3/4(11)-25/4

2=33/4-25/4

2=2

it works! :)

Hope this helps!

Answer:

361/1000

Hope I helped

Answer:

179/495

Step-by-step explanation:

x = 0.3616161..........  ---------------(I)

Multiply by 1000

1000x = 361.616161......

Multiply (I) by 10

10x = 3.616161........

1000x = 361.6161......

   10x =      3.6161........   {Now subtract}

 990x=  358

        x = 358/990

x = 179/495

Answer:

Length of a side of a square = 2√2 units

Step-by-step explanation:

Let the length of a square is 'x' units.

Therefore, Area of the square A = (Side)²

                                                      = x² square units

And by Pythagoras theorem,

(Diagonal)²= (Side 1)² + (Side 2)²

                 = x² + x²

                 = 2x²

Diagonal 'p' = x√2 units

It is given in the question that area of the square is increasing four times as fast as the diagonals.

[tex]\frac{d(A)}{dt}=4(\frac{dp}{dt} )[/tex] -------(1)

[tex]\frac{d(A)}{dt}=\frac{d(x^2)}{dt}[/tex]

[tex]\frac{d(A)}{dt}=2x\frac{d(x)}{dt}[/tex]

Similarly, [tex]\frac{d(p)}{dt}=\frac{d(x\sqrt{2})}{dt}[/tex]

                      [tex]=\sqrt{2}\frac{dx}{dt}[/tex]

Now by placing the value of [tex]\frac{d(A)}{dt}[/tex] and [tex]\frac{d(p)}{dt}[/tex] in equation (1),

[tex]2x\frac{dx}{dt}=4\sqrt{2}\frac{dx}{dt}[/tex]

[tex](2x - 4\sqrt{2})\frac{dx}{dt}=0[/tex]

Since, [tex]\frac{dx}{dt}\neq 0[/tex]

[tex](2x - 4\sqrt{2})=0[/tex]

x = 2√2

Therefore, length of a side of the square is 2√2.

Answer:

11 in

Step-by-step explanation:

as itis parallelogram equal sides

Answer:

17

Step-by-step explanation:

Answer:

it is 17

Step-by-step explanation:

I tested it out.

Answer:

322.2069

Step-by-step explanation:

s0 pretty much 322

Answer:

According to the Heron's formula, Area (A) of the triangle having sides a,b,c units is

A=

s(s−a)(s−b)(s−c)

where

s=

2

a+b+c

For the given triangle,

a=18 cm

b=24 cm

c=30 cm

s=

2

18+24+30

=36

A=

36(36−18)(36−24)(36−30)

A=

36×18×12×6

A=

216×216

=216 cm

2

Smallest side =18 cm

Area of the triangle =

2

1

×base×altitude=216

2

1

×18× altitude=216

Altitude =

9

216

=24 cm

Step-by-step explanation:

hope this will help

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ length \ of \ shortest \ altitude \ is \ 2.4\sqrt{6} \ units . }}}[/tex]

Here given measure of sides are 18 , 24 and 30 units. Firstly let's find the area of ∆ using Heron's Formula.

[tex]\boxed{\red{\bf Area_{\triangle} =\sqrt{s(s-a)(s-b)(s-c)}}}[/tex]

Where s is semi Perimeter . And here s will be ( 18 + 24 + 30 ) / 2 = 36 units .

[tex]\bf \implies Area = \sqrt{s(s-a)(s-b)(s-c)} [/tex]

[tex]\bf \implies Area = \sqrt{ 36 ( 36 - 18)(36-24)(36-30)}[/tex]

[tex]\bf \implies Area = \sqrt{ 36 \times 18 \times 12} [/tex]

[tex]\bf \implies Area = \sqrt{ 6^2 \times 6\times 6 \times 2 \times 3} [/tex]

[tex]\bf \implies Area = 6^2\sqrt{6} unit^2 [/tex]

[tex]\bf \boxed{ \implies Area_{triangle} = 36\sqrt{6} units^2} [/tex]

Also we know that ,

[tex]\boxed{\red{\bf Area_{\triangle} = \dfrac{1}{2}\times (base)\times (height)}}[/tex]

Let's find the altitudes now ,

Altitude on side of 18 units :-

[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 18 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{18} \\\\\boxed{\bf\implies h_1 = 4\sqrt6 units }[/tex]

Altitude on side of 24 units :-

[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 24 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{24} \\\\\boxed{\bf\implies h_1 = 3\sqrt6 units }[/tex]

Altitude on side 30 units :-

[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 30 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{30} \\\\\boxed{\bf\implies h_1 = 2.4\sqrt6 units }[/tex]

Answer:The answer is 3.5273684211

Step-by-step explanation:

I your round it up then it would be 3.5

Answer:

33.7/9.5 = 3.547368421...

Answer:

[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Step-by-step explanation:

Step 1: Factor [tex]x² + 2x - 8: (x - 2) (x + 4)[/tex]

[tex]=\frac{x}{x+4}+\frac{x-1}{x+2}+\frac{3}{\left(x-2\right)\left(x+4\right)}[/tex]

Step 2: Find the Least Common Multiplier of  [tex]x + 4, x - 2, (x + 4), (x - 2)[/tex]

= [tex](x + 4) (x + 2) (x - 2)[/tex]

Step 3a: Conform the fractions based on the LCM (Least Common Multiplier)

= [tex]\frac{x\left(x+2\right)\left(x-2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}+\frac{\left(x-1\right)\left(x+4\right)\left(x-2\right)}{\left(x+2\right)\left(x+4\right)\left(x-2\right)}+\frac{3\left(x+2\right)}{\left(x-2\right)\left(x+4\right)\left(x+2\right)}[/tex]

Step 3b: The denominators are equal, so combine the fractions.

[tex]=\frac{x\left(x+2\right)\left(x-2\right)+\left(x-1\right)\left(x+4\right)\left(x-2\right)+3\left(x+2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Step 4: Expand [tex]x(x + 2)(x - 2) +(x-1)(x+4)(x-2) + 3(x-2)[/tex]

[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Have a great day!

Answer:

-12x+28

Tell me if u need an explanation!

Hope this Helps!!!

[tex] - 6 \frac{1}{4} - ( - 2 \frac{1}{8} )[/tex]

[tex] = - 6 \frac{1}{4} + 2 \frac{1}{8} [/tex]

[tex] = \frac{ - 25}{4} + \frac{17}{8} [/tex]

[tex] = \frac{ - 50}{8} + \frac{17}{8} [/tex]

[tex] = \frac{ - 50 + 17}{8} [/tex]

[tex] = \frac{ - 33}{8} [/tex]

[tex] = - 4 \frac{1}{8} [/tex]

Answer:

Answer is C

Step-by-step explanation:

A scenario describing the inequality {d ≤ 16} is given below.

An inequality compares two or more numbers or expressions with one another. For example -

2x + 4y > 7

2x + 5y < 6

Given is that Ann writes the inequality d ≤ 16, where { d } equals the number of days.

A scenerio to represent this inequality is -

" Mike was not able pay the rent for the past 2 months. His landlord had asked him to pay the total rent within the 16 days."

Therefore, we can represent the given inequality as a scenario mentioned above.

To solve more questions on inequality, visit the link below

https://brainly.com/question/29194803

#SPJ2

Answer:

$374

Step-by-step explanation:

First you need to find how much money does the back pay per year

$200*7.25

=1450

1450/100

=14.5

Secondly you need to find how much does Catherine have in 12 years

14.5*12 years

=$174

Lastly add the money she already had 12 years ago to how much the bank payed in that 12 years

$200+$174

=$374

Answer:

22

Step-by-step explanation:

12+(8/(2/3)-2

22

Answer:

22

Step-by-step explanation:

First divide 8 by 2/3 ( since it’s in parentheses) and that gives you 12. Then add 12 + the 12 that was in parentheses. That leaves you with 24-2 which equals 22.

Answer:

I THINK Vertical ( I'm not positive) Goodluck

Answer:

B) Decreasing

It getting smaller every time

Answer:

decimal: 0.32 percent: 32%

Step-by-step explanation:

Answer:

f(x) = x² + 5

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

y - x² = 5

Step 2: Rewrite

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = - [tex]\sqrt{x+11}[/tex] - 3 ← substitute x = - 7

f(- 7) = - [tex]\sqrt{-7+11}[/tex] - 3

       = - [tex]\sqrt{4}[/tex] - 3

       = - 2 - 3

       = - 5 ← output is real

Answer:

144

Step-by-step explanation:

The sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946

so you can see the first term larger than 120 is the 144.

The first term in the sequence to exceed 120 will be 144.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The sequence is given below.

1, 1, 2, 3, 5, 8.

The sequence is given as,

aₙ = aₙ₋₁ + aₙ₋₂

The first and second terms are given as,

a₁ = 1 and a₂ = 1

Then the 7th term is given as,

a₇ = a₆ + a₅

a₇ = 5 + 8

a₇ = 13

Then the 8th term is given as,

a₈ = a₇ + a₆

a₈ = 13 + 8

a₈ = 21

Then the 12th term is given as,

a₁₂ = a₁₁ + a₁₀

a₁₂ = 89  + 55

a₁₂ = 144

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and 144.

The first term in the sequence to exceed 120 will be 144.

More about the sequence link is given below.

https://brainly.com/question/21961097

#SPJ2

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

186 = 6(3n + 7)

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that 186 does indeed equal 186.

∴ n = 8 is the solution to the equation.

Answer:

(5-2a+6b)/2

Step-by-step explanation:

According to PEMDAS, we would multiply 2 by (a+3b) first. This would equal 2a+6b. Since this is being subtracted from 5, the numerator would equal 5-2a+6b. This would bring the simplified answer to (5-2a+6b)/2

Answer:

(40+ 19) – 38

Step-by-step explanation:

We need to find the expression for "thirty-eight less than the sum of forty and nineteen".

Sum of forty and nineteen = 40 + 19

38 less than the above is 40 + 19 - 38

Overall expression is :

(40 + 19) - 38

Hence, the correct option is (d) "(40+ 19) – 38".

Answer:

1271.7in

Step-by-step explanation:

A complete rotation is = circumference of the wheel.

So calculate the circumference which is pi times diameter.

27 times pi (which is 3.14) = 84.78in   one rotation

so if you make 15 rotations, you are multiplying it by 15

15 x 84.78 = 1271.7in

Answer:

It is 36ft squared

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

It Is A.y-8=-5(x+2)

Step-by-step explanation:

The probability of grabbing a ball that is either a softball or not a basketball is 9/10, or 0.9 when expressed as a decimal.

The likelihood or chance of an event occurring is measured by probability. Usually, it is stated as a number between 0 and 1, where 0 denotes an event's impossibility and 1 denotes its certainty.

There are 10 balls in total, and 2 of them are basketballs. So the number of balls that are not basketballs is 10 - 2 = 8.

Of these 8 balls, we know that 1 is a softball. So the number of balls that are either a softball or not a basketball is 1 + 8 = 9.

Therefore, the probability of grabbing a ball that is either a softball or not a basketball is:

P(softball or not a basketball) = 9/10

So the probability of grabbing a ball that is either a softball or not a basketball is 9/10, or 0.9 when expressed as a decimal.

To know more about probability visit:

https://brainly.com/question/29221515

#SPJ1