Brainly + Bonus points for the correct and explained answer.

Answer:

The dimensions that match Alice's rectangle are 7 cm and 8 cm.

Step-by-step explanation:

The perimeter of the rectangle is given by:

[tex] P = 2(a + b) = 30 cm [/tex]    (1)                              

Where a and b are the sides of the rectangle

Also, the area of the rectangle is:

[tex] A = a\times b = 56 cm^{2} [/tex]   (2)

By solving equation (1) for a, we have:

[tex] a = 15 cm - b [/tex]      (3)                      

Now, by entering equation (3) into (2) we can find one side of the rectangle:

[tex] 56 cm^{2} = (15 cm - b)\times b [/tex]          

[tex] b^{2} - 15b + 56 = 0 [/tex]                                                        

Solving the above quadratic equation we have:

b₁ = 7 cm  and b₂ = 8 cm                      

Now, the other side of the rectangle can be calculated with equation (3):

[tex] a = 15 cm - b_{1} = 15 - 7 cm = 8 cm [/tex]                          

or    

[tex] a = 15 cm - b_{2} = 15 - 8 cm = 7 cm [/tex]            

Taking the first solution (b₁) or the second (b₂), we find that the dimensions that match Alice's rectangle are 7 cm and 8 cm.          

Therefore, the dimensions that match Alice's rectangle are 7 cm and 8 cm.

I hope it helps you!                            

Answer:

=75y16 I think this is it

Answer:

sorry i only know the answer of c

it's 8.2 gallons

Step-by-step explanation:

12 gallons = 420 miles

12 gallons = 420 miles? gallons =287 miles

420 miles ÷ 12 gallons = 35miles/gallon

420 miles ÷ 12 gallons = 35miles/gallon287 miles ÷ 35 miles/gallon = 8.2 gallons

Answer:

Step-by-step explanation:

Unit rate = (420 miles)/(12 gallons) = (420/12 miles)/gallon = (35 miles)/gallon

:::::

Fuel consumption = (number of miles) × (1 gallon)/(35 miles)

:::::

287 miles × (1 gallon)/(35 miles) = 8.2 gallons

Answer:

A spehere

Step-by-step explanation:

A sphere only made up of a curved surface

on the other hand, a cone, cylinder, etc, have a flat surface. for a cone it's the floor. for a cylinder it's the ceiling and the floor of the object

Answer:

[tex] \huge \boxed{ \boxed{ \sf parimeter = 150cm}}[/tex]

Step-by-step explanation:

[tex] step - 1 : define[/tex]

let the parimeter of second shape be x

[tex] \sf \frac{48}{60} = \frac{120}{x} [/tex]

[tex]step - 2 : solve[/tex]

1. 0 > 3x - 3 - 6

0 > 3x -9

9 > 3x

3 > x

It would be a closed circle starting from 3 going to the right.

2. 4x + 1 - 1 >/ -8

4x >/ -8

x >/ -2

It would be an open circle starting from -2 going to the right.

3. -1 </ 2n + 4 - 5

-1 </ 2n -1

0 </ 2n

Undefined.

4. -6 > 5n + 5 + 4

-6 > 5n + 9

-15 > 5n

-3 > n

It would be a closed circle going to the right

if the addition if (X+45)° and (X+105)° equal 180°

due to they are a co- interior angles.

then X+45+X+105 = 180°

2X+150 = 180°

2X = 30

X = 15°

Answer:

114?? Ummm I confused that's it......

After giving 225 of the seashells to Fred, then Sandy has -106 seashells now, which is determined by subtraction.

To calculate this, we subtract the number of seashells given to Fred from the initial number of seashells.

Seashells Sandy has now can be calculated as follows:

Seashells Sandy has now = Initial number of seashells - Seashells given to Fred

Therefore, we have:

= 119 - 225

Apply the subtraction operation to get

= -106

This negative sign indicates that there are not enough seashells

Therefore, after giving 225 of the seashells to Fred, then Sandy has -106 seashells now.

Learn more about subtraction here:

https://brainly.com/question/1927340

#SPJ4

Answer:

12

Step-by-step explanation:

6(x+8.5)=123

=> 6x + 51 = 123

=> 6x = 123 - 51

=> 6x = 72

[tex] = > x = \frac{72}{6} [/tex]

=> x = 12 (Ans)

Answer:

y = √(3² + 3²)

9 = √(5² + x²)

Step-by-step explanation:

Diagram 1:

Hypotenuse = y

Opposite = 3

Adjacent = 3

y² = 3² + 3²

y = √(3² + 3²)

y = √(9 + 9)

y = √18

Diagram 2:

Hypotenuse ² = known leg² + unknown leg²

Hypotenuse = 9

Known leg = 5

Unknown leg = x

9² = 5² + x²

9 = √(5² + x²)

9² = 5² + x²

9² - 5² = x²

x² = 81 - 25

x = √ 56

Answer:

There will be an asymptote at [tex]x=\frac{5}{3}[/tex], meaning the domain is restricted from (-∞, [tex]\frac{5}{3}[/tex])U([tex]\frac{5}{3}[/tex], ∞).

Step-by-step explanation:

When finding domain restrictions for an equation that has a fraction, take the denominator and set it equal to 0. Then, solve for x:

[tex]3x-5=0[/tex]

[tex]3x=5[/tex]

[tex]x=\frac{5}{3}[/tex]

Then we can determine that there's an asymptote at [tex]x=\frac{5}{3}[/tex] but that is the only restriction.

Answer:

16

Step-by-step explanation:

9+7=16

Answer:

Step-by-step explanation:

Like terms have same variable with same exponent. Combine the like terms.

x + x = 2x  {Just add the coefficient}

x + y + x +y + 30 + 5 = x +x  +  y + y   + 30 + 5

                                 = 2x + 2y + 35

Complete question :

consider the equation x/5-2=11. if x represents the number of basketball players that have signed up for a new league, what is a possible scenario that would be modeled by this equation?

Answer:

Kindly check explanation

Step-by-step explanation:

The Number of players that signed up for a new league can be modeled using the following information :

The number of players per team

The number of teams in the league

For the equation given :

x/5 - 2=11

x could represent the total number of players, with the number of teams in the league being 5 ;

if 2 players were to leave any of the teams ; we have 11 players in that team.

Answer:

The equation could model a scenario determining the number of players on each team in a league of five teams, if 2 players have to be taken out of the possible players to be referees and to keep score. There will be 11 players on each team.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The radius is half of the diameter, so 5 * 2 = 10

Answer:

diameter=2×radius=2×5=10units

Answer:

The answer is false or "impossible"

Step-by-step explanation:

Heres why I say this:

If the “average speed” in one hour make the car travel 50km, it means the speed could not be constant. So, it could be 90km/h during the first 30 minutes and 10km/h during the second 30 minutes. If this is the case, for example, in the next 12 minutes after the first hour, the car could be traveled 18km at 90km/h, completing 50 + 18 = 68km. The tricky word “average” makes it impossible to answer. Good try, but no cigar.

Answer: 22 + 2y

Step-by-step explanation:

2 x 11 = 22

2 x y = 2

2(11+y) = 22+2y

Answer:

22+2y

Step-by-step explanation:

2*11 + 2* y

22 + 2y

HTH

Answer:

y = -9 (negative 9)

Step-by-step explanation:

7 - 3(-9) =

7 - (-27) =

34

Hope this helped and pls mark brainliest!

Answer:

Explanation:

7 - 3y = 34

Simplify both sides of the equation

7 − 3y = 34

7 + −3y = 34

−3y + 7 = 34

Subtract 7 from both sides

−3y + 7 − 7 = 34 − 7

−3y = 27

Divide both sides by -3

−3y / -3 = 27 / -3

Simplify

y = -9

Answer:

5 miles

Step-by-step explanation:

2 as a baseline then add 2.40 for first mile which then comes up to 4.40. 4.40 plus 1.40 = 5.80 plus 1.40 = 7.20 plus 1.40 = 8.60 plus 1.40 = 10. then we count the amount of 1.40's we added which was 4. and then we account for the first mile so there we have 5 miles

Answer:

5 miles

Step-by-step explanation:

Answer:

y =  [tex]\frac{-7x}{2}+\frac{41}{2}[/tex]

Step-by-step explanation:

We are given the point (3, 10).

The second point is 2 on the x-axis and -7 on the y-axis. So our second point is: (3 + 2, 10 - 7) which is (5, 3).

Our formula for slope is m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y2-y1}{x2-x1}[/tex]

So, our equation would be [tex]\frac{3-10}{5-3}[/tex] = [tex]\frac{-7}{2}[/tex]

Using the standard formula of a line, y = mx + b, we can substitute for the slope, m.

y = [tex]\frac{-7x}{2}[/tex] + b

Now, we can substitute a point on the line to determine the y-intercept:

Using the point (3, 10),

10 = [tex]\frac{-7(3)}{2}[/tex] + b

b = 10 + [tex]\frac{21}{2}[/tex]

b = [tex]\frac{41}{2}[/tex]

So our full equation is: y =  [tex]\frac{-7x}{2}+\frac{41}{2}[/tex]

Answer:

D

Step-by-step explanation:

We are combining like terms So,

Step 1

-5x + 2y + 3x

Step 2

-5x + 2y + 3x  combine like terms

(-5x+3x)+(2y)  Then you simplify

-2x+2y

So therefore, your answer is D

Answer:

n+2 ...................... As addition of two even number make even and addition of one even and one odd makes odd so we can add 3 and 1 as it will result in odd .

Answer: C = 12.56

Step-by-step explanation:

Since radius is 2, the diameter is double the radius which would be 4. C= 3.14 x 4. C = 12.56

Answer:

B. 2(3)

Step-by-step explanation:

The other 3 all shows decreasing of 2 three times. 2(3) would be increasing.

Answer:

70%

Step-by-step explanation:

1. 1400÷2000 = 0.07

2. move the decimal over 2 spaces for a percentage 0.07 --> 70.0

3. 70.0 = 70%