The perimeter of a rectangle is forty inches. The length is
two inches more than three times the width. Find the dimensions of
the rectangle.

Answer:

-2x + 1

Step-by-step explanation:

1: -3x^2 + 5x + 2 - 1 - 7x + 3x^2

2: (-3x^2 + 3x^2) + (5x - 7x) + (2 - 1)

3: 0 - 2x + 1

4: -2x + 1

Step 1: Given equation

Step 2: Group the terms with similar exponents together

Step 3: Add the terms together

Step 4: Simplify completely

Answer:

First off, complementary angles are when 2 angles add up to 90 degrees. So if one angle is 82 degrees the other is 8 degrees.

Step-by-step explanation:

Answer:

d is the answer of the question

Answer: Its 5 1/12 hope this helped!!!

Answer

Answer = 278/63 as in the pic

Answer:

a)16.32 rounded to the nearest whole number is 16 feet per second? True

b) 16.32 rounded to the nearest tenth is 16.3.? True

c) 16.32 rounded to the nearest hundredth is 16.33. ? False

Step-by-step explanation:

Select True or False for each statement.

a) 16.32 rounded to the nearest whole number is 16 feet per second. ?

16.32 to nearest whole number = 16 feet per second. This statement above is true.

b) 16.32 rounded to the nearest tenth is 16.3. ?

The number in the tenth position is 3, the number after it is 2.

Hence, 16.32 to the nearest tenth = 16.3

Hence, the above statement is true.

c) 16.32 rounded to the nearest hundredth is 16.33. ?

The number in the hundredth position is 2. There is no number after 2.

Hence,

16.32 to the nearest hundredth is 16.32

Hence, 16.32 rounded to the nearest hundredth is 16.33 is a false statement.

Answer:

-4(3n+5)

Step-by-step explanation:

Factored -4 out of -12n-20. Let me know if this answers the question!

Answer:

ok so 13- 1.75(5)

do this equation

Step-by-step explanation:

9514 1404 393

Answer:

  m∠W = m∠S = 126°

  m∠E = m∠T = 54°

  x = 24

  y = 8

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so we have ...

  ∠E = ∠T

  3x -18 = 2x +6

  x = 24 . . . . . . . . . add 18-2x

Then the measure of these angles (in degrees) is ...

 ∠E = ∠T = 2x+6 = 2(24) +6 = 54

__

The adjacent angle W is supplementary to either of these:

  ∠W = 180° -∠E

  15y +6 = 180 -54

  15y = 120

  y = 8

  ∠W = ∠S = 126°

Answer:

y = 8

Angle S= 126°

Step-by-step explanation:

Answer:

x=3y−1x=3y-1

x+2y=9x+2y=9

Replace all occurrences of xx with 3y−13y-1 in each equation.

Tap for fewer steps...

Replace all occurrences of xx in x+2y=9x+2y=9 with 3y−13y-1.

(3y−1)+2y=9(3y-1)+2y=9

x=3y−1x=3y-1

Add 3y3y and 2y2y.

5y−1=95y-1=9

x=3y−1x=3y-1

Solve for yy in the first equation.

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Move all terms not containing yy to the right side of the equation.

Tap for fewer steps...

Add 11 to both sides of the equation.

5y=9+15y=9+1

x=3y−1x=3y-1

Add 99 and 11.

5y=105y=10

x=3y−1x=3y-1

Divide each term by 55 and simplify.

Tap for fewer steps...

Divide each term in 5y=105y=10 by 55.

5y5=1055y5=105

x=3y−1x=3y-1

Cancel the common factor of 55.

Tap for fewer steps...

Cancel the common factor.

5y5=1055y5=105

x=3y−1x=3y-1

Divide yy by 11.

x=5,y=2

Step-by-step explanation:

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Answer:

The area of the irregular shape is 20 square cm

Step-by-step explanation:

Area of an Irregular Shape

Some shapes do not have regular shapes like squares, circles, triangles, etc. where well-known formulas can be applied to calculate their areas.

We have to calculate the area of the shape provided in the figure. We have divided the shape into three rectangles (see figure below). The total area of the irregular shape is:

A = A1 + A2 + A3

The first rectangle has dimensions 2 cm by 1 cm, thus its area is:

A1 = 1 cm * 2 cm = 2 square cm

The second rectangle has dimensions 2 cm by 3 cm, thus its area is:

A2 = 2 cm * 3 cm = 6 square cm

The third rectangle has dimensions 3 cm by 4 cm, thus its area is:

A3 = 3 cm * 4 cm = 12 square cm

The total area is:

A = 2 square cm + 6 square cm + 12 square cm = 20 square cm

The area of the irregular shape is 20 square cm

Answer:

1:5

Step-by-step explanation:

DivideByTwo

Answer:

c.4

Step-by-step explanation:

hope it helps ............

Answer:

the answer to the system of equation is (4, -1)

Answer:

5m = k or 5(10) = k

Step-by-step explanation:

Let m represent Mark

Let k represent Kate

So, it is 5 times the amount that Mark has, so that is 5m = k

or just simply 5(10) = k

The pens that Kate has is equal to 50

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given here, let  mark has x= 10  pens and Kate has 5 times as many pens as Mark then kate would have 5x pens

therefore5x = 5×10

                    = 50 pens

Hence,  The pens that Kate has is equal to 50

Learn more about equations here:

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#SPJ5

Answer: 400

Step-by-step explanation:

From the question, we are informed that the probability of getting a 6 is 4/5 and that the dice is rolled 500 times.

The number of sixes that would be expected to roll will be 4/5 multiplied by the number the dice is rolled

= 4/5 × 500

= 400

There'll be 400 sixes.

Answer: -2x(5y+6)

Step-by-step explanation:

Answer:

m∠STU = 20 °

Step-by-step explanation:

Since the line bisects the angle, we have that the two bisected angles are equal

Thus, mathematically;

x + 2 = x/4 + 8

Multiply through by 4

4x + 8 = x + 32

4x-x = 32-8

3x = 24

x = 24/3

x = 8

So to find the value of the original angle, we input 8 into each of the bisected angles and add together

mathematically, that will be ;

10 + 10 = 20

Answer:

[tex]\huge\boxed{slope=\dfrac{3}{5}=0.6}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (1, -1) and (6, 2).

Substitute:

[tex]m=\dfrac{2-(-1)}{6-1}=\dfrac{2+1}{5}=\dfrac{3}{5}=0.6[/tex]

the awnser is #3

k=96

Answer:96

Step-by-step explanation:

4 can go into 96 24 times

Answer:

x=−23

Step-by-step explanation:

14+x=−9

Step 1: Simplify both sides of the equation.

x+14=−9

Step 2: Subtract 14 from both sides.

x+14−14=−9−14

x=−23

Answer:

-23

Step-by-step explanation:

14+x =-9

-14      -14

x = -23

Answer:

$94.50

Step-by-step explanation:

150 x .30 = 45, so you can $45 off.

105 x .1 = 10.5 so you can take another $10.50 off.

The final price would be $94.50

Answer:

Step-by-step explanation:

Mary spends 8*6=48 dollars

Pete spends 9*12=108

Mary got a better deal per cupcake

Answer:

They spent the same amount per cupcake ($1.33)

Step-by-step explanation:

To solve this, we need to find the unit rate of cost per cupcake. To do that, we divide 8 by 6 and divide 12 by 9. When we do that, we get 1.33 for both. That means they spent the same amount per cupcake ($1.33).

Answer:

There are 9838.5 feet in 3 kilometers.

Step-by-step explanation:

Given that:

There are 1.61 kilometer in a mile.

1 mile = 1.61 km

Also,

1 mile = 5280 feet

Comparing,

1.61 km = 5280 feet

1 km = [tex]\frac{5280}{1.61}[/tex] feet

1 km = 3279.50

3 km = 3279.50 * 3

3 kilometers = 9838.5 feet

Hence,

There are 9838.5 feet in 3 kilometers.

A distance of 3 kilometers is equal to 9,838.5 feet.

Given to us:

1 miles = 1.61 kilometers,

1 miles = 5,280 feet,

from the above to equations we can conclude,

[tex]1\ miles = 1.61\ kilometers = 5,280\ feet\\ 1.6\;kilometers = 5,280\ feet\\\\1\ kilometers =\dfrac{ 5,280\ feet}{1.61} \\\\1\ kilometers = 3,279.5\ feet[/tex]

So, now for 3 kilometers we can conclude that,

[tex]1\ kilometers = 3,279.5\ feet\\3\ kilometers = (3,279.5\times3)\ feet\\3\ kilometers = 9,838.5\ feet[/tex]

Hence, A distance of 3 kilometers is equal to 9,838.5 feet.

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Answer:

D

Step-by-step explanation:

10² + 14² = -17.20²

-17.20² = 2sqrt74

Answer:

C 296 ft

Step-by-step explanation:

hypotenuse^2 = side1^2 + side2^2

==> hypotenuse^2 = 10^2 + 14^2

==> hypotenuse^2 = 100 + 196

==> hypotenuse^2 = 296

==> hypotenuse = square root (296)

==> hypotenuse = 17.2046505

The length of the missing side = 296 in radical form

Answer:

PART A- 3+D POUNDS

PARTB- 3D-12

Step-by-step explanation:

dylan-d pounds

alan-3+d pounds

bruce-3d-12

Answer:

Alan = A

Bruce = B

Cecil = C

Dylan = D

Part A     A = 2 x D + 3

Part B     B= 3 x D - 12

Part C    C= A+B     A = 2 x D + 3       B= 3 x D - 12

Part D    Cecil weighs 216 pounds

Part E     Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.

Part F      5d-9

Part G      Cecil’s weight in terms of Dylan’s weight is 5d – 9.  Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:

(5 × 45) − 9  = 225 − 9  = 216.

If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.

Part H   Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.

Part I       Bruce's weight in terms of Dylan’s weight is 3d − 12.  Alan's weight in terms of Dylan’s weight is 2d + 3.

So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.

Part J      The expression is (3d − 12) − (2d + 3).  Evaluate the expression by substituting Dylan’s weight (d = 45) into it:  (3 × 45 − 12) − (2 × 45 + 3)  = (135 − 12) − (90 + 3)  = (123) − (93)  = 30.

Bruce weighs 30 pounds more than Alan weighs.

Part K   (3d − 12) − (2d + 3).

First remove the parentheses:

3d − 12 − 2d − 3.

Then group the like terms:

3d − 2d − 12 − 3.

Finally, subtract the like terms:

d − 15.

The expression (3d − 12) − (2d + 3) simplifies to d − 15.

Part L    The expression is d − 15.  Evaluate the expression by substituting Dylan’s weight (d = 45) into it:  45 − 15 = 30.

Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.

Step by step explanation:

So you basically want to focus on Alan and Bruce they will help you get the rest of your answers

Note:

Some of these are direct answers from Edmentum

Answer:

14

Step-by-step explanation:

The coefficient is the is the one by it's self with no variables or exponents

Answer:

13

Step-by-step explanation: If each glass can hold 1 liter than 13 glasses can hold 13 liters.

Answer:

The number is 6.

Step-by-step explanation:

Work the question backwards.

21÷3=7

7-4=3

3×2=6

And if you need proof.

6÷2=3

3+4=7

7×3=21