The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter

b) Calculate the dimensions of the square.

Answer:

Step-by-step explanation:

Flight A :

Checked bag fee = $27

Additional fee per overweight limit = $24

Flight B:

Checked bag fee = $16

Additional fee per overweight limit = $25

Since, the total amount paid for the package on both flights are the same ;

Let x = mass of bag above the weight limit.

Hence, Mathematically ;

27 + 24x = 16 + 25x

24x - 25x = 16 - 27

-x = -11

x = 11

Hence. The bag was s 11kg over the weight limit.

Answer:

27 years approx

Step-by-step explanation:

Given data

Principal P= $ 3,000

Final amount A= $ 7000

Rate r= 5%

The simple interest expression is

A=P(1+rt)

substitute and solve for t

7000=3000(1+0.05t)

7000=3000+150r

7000-3000=150r

4000=150t

t= 4000/150

t= 26.66

Hence, the time is 27 years approx

Answer: 18 degrees

Step-by-step explanation:

If the temperature dropped 12 degrees (48-36) in 10 hours then the ratio is

10hours:12 degrees

to find hours divide both sides by 2 and multiply by 3 to get

15hours: 18 degrees

Answer:6

Step-by-step explanation:

Vertical angle proof. 4x is equal to 24 so 24/4=6 and x is 6

Answer:

The three different possible conditions ;

nonalcoholic beer group, 1 beer group, 2 beer group

Step-by-step explanation:

The Independent variable, also known as the predictor variable are variables used to influence and check changes in the dependent or predicted variable as subjects are exposed to the different types or levels of independent variable used in the study.

In the scenario described above, the predictor or independent variables which are used to measure the reaction times of participants to unexpected variables is the independent variable, beacuse these different variables ; nonalcoholic beer, 2 beer will probably affect the response time of the participants which is the dependent variable.

Answer:

D

Step-by-step explanation:

X3+3x2+5x+2x2+6x+10

Collect like terms

X3+5x2+11x+10

The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;

⇒ (x + 2) (x² + 3x + 5)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ P(X) = x³ + 5x² + 11x + 10

Now,

Solve the expression for the factors as;

The expression is,

⇒ P(X) = x³ + 5x² + 11x + 10

Since, -2 is the solution of the expression.

Hence, (x + 2) is one of the factor of the expression.

So, Find the second factor by dividing the expression (x³ + 5x² + 11x + 10)

by (x + 2), we get;

x + 2 ) x³ + 5x² + 11x + 10 (x² + 3x + 5

         x³ + 2x²

        --------------

               3x² + 11x

               3x² + 6x

             ------------------

                       5x + 10

                       5x + 10

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

                           0

Thus, The second factor = (x² + 3x + 5)

Therefore,        

x³ + 5x² + 11x + 10 = (x + 2) (x² + 3x + 5)

Thus, The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;

⇒ (x + 2) (x² + 3x + 5)

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Answer:

6

Step-by-step explanation:

Because 6 is 6 times as 1, 12 is 6 times as 2, 18 is 6 times as 3 and so on.

Answer:

sorry it blurry the answer is 154cm²

hope that helps

Answer:

parallel

Step-by-step explanation:

Because a is pependicular to k

Answer:

2x+3

good luck

nice day

gg

Answer:

B. 2x+3

Step-by-step explanation:

Have a great day

Answer:

-4m/s

Step-by-step explanation:

Answer:

it has increased by 1/2 so the scale factor would either be 3/2 or 1.5 or something

Step-by-step explanation:

Answer:

$117.6

Step-by-step explanation:

Formula:

I = Prt

Given:

P = 210

r = 8% = 0.08

t = 7

Work:

I = Prt

I = (210)(0.08)(7)

I = 117.6

Answer:

Step-by-step explanation:

So with 8% interest, Jim will have to pay 8% more each year. For the first year we need to multiply 210 with 1.08 to find the amount that Jim would have had to pay to his sister if he had gotten an 8% interest for 1 year. Every time the year increases we need to multiply the previous number with 1.08 because we are looking for the 8% increased value of the previous one, therefore our equation is:

P(t) = 210*(1.08)^t --> (t=time in years, P(t)=amount of money Jim need to pay back with respect to time)

Since Jim gets an 8% interest for 7 years we have to put in 7 for t.

P(7)=210*(1.08)^7

which is approximately $359.903

Answer:

x = -10

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

Hope this helps!

Have a nice day <3

Answer:

A. 48

Step-by-step explanation:

4 + 2(3 + 25 - 6) =

4 + 2(28 - 6) =

4 + 2 x 22 =

4 + 44 =

48

Hope that helps!

Answer:

Pounds of noodles made per week = 47 1/2 pounds

Step-by-step explanation:

One pound of pasta noodles can be made using the ingredients shown in the recipe below.

Recipe for Pasta Noodles

Ingredients

3 1/2 cups of flour

4 large eggs

2 teaspoons of olive oil

A chef uses 166 1/4 cups of flour each week to make noodles. How many pounds of noodles does the chef make each week?

28 1/2

47 1/2

53 1/4

55 1/2

Pounds of noodles made per week = Total cups of flour used each week / flour used per pound

= 166 1/4 ÷ 3 1/2

= 665/4 ÷ 7/2

= 665/4 ÷ 2/7

= (665*2)/(4*7)

= 1330/28

= 47.5 pounds

Pounds of noodles made per week = 47 1/2 pounds

Answer:

h(0) = -2x

Step-by-step explanation:

Answer:

x = 20°

Step-by-step explanation:

You know the horizontal line is 180°. If the left side of the horizontal line is 90° (right angle), then the right side of the horizontal line should be 90° too. (180° - 90° = 90°)

Thus, 90° = 43° + 2x + 7°

2x = 90° - 43° - 7°

    = 40°

x = 40° ÷ 2

x = 20°

Answer:

X = 2

Step-by-step explanation:

As the lines are perpendicular...

90 = 43 + 2x + 7

Solve for x by making x the subject.

90 - 43 - 7 = 2x

40 = 2x

40/2 = x

20 = x

therefore, x = 2

Answer:

50 times

Step-by-step explanation:

Since the odds of her getting a heads is 50% (1/2) every time she flips the coin. So she should expect to get 50 heads. However this number varies practically because in every single flip there is a 50-50 chance. If she had flipped it infinitely many times then it would be exactly 50%

Answer:

18

Step-by-step explanation:

if you were to plug the coordinates into a graph, (-5,-4) would be 16 blocks to the right and two blocks up making it a total of 18

Hope this helps!

The distance between the points P ( -5 , 4 ) and Q ( 3 , -3 ) on the plane is given by D = 8.06 units

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Given data ,

Let the first point be P = P ( -5 , -4 )

Let the second point be Q = Q ( 3 , -3 )

Now , distance between P and Q is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

D = √ ( -5 - 3 )² + ( -4 - ( -3 ) )²

D = √ ( 64 + 1 )

D = √65 units

D = 8.06 units

Hence , the distance is 8.06 units

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Answer:

(x-3)(x-1) =0

x-3=0 or x-1=0

x=3 or x=1

Answer:

Option C. Rational numbers can be written as a fraction where denominator is not zero.

Answer:

B

Step-by-step explanation:

Hope this helps D:

Step-by-step explanation:

50÷75 is .6667. that means that 50 is 66.7 percent of 75.

100 minus 66.7 is 33.3. It is a 33.3 percent change

Answer:

-25%

Step-by-step explanation:

hope this helps!! please mark brainliest.

Answer:

4/17

Step-by-step explanation:

Answer:

it will take him 3 weeks to reach is goal.

Step-by-step explanation:

if michael needs $200 and he already has 50 then 200-50 is 150. then you divide 150 divided by 15 to get 3

hopethis helped.

Answer:

x>2

Step-by-step explanation:

im the same guy who wrote the comment. I just want points lol

Answer:

D. the function approches 1 as x approches -∞ and ∞

Answer:

$15,937.50

Step-by-step explanation:

15000 × 1.0625 = 15937.5