Explain how to use the distributive property to find an expression that is equivalent to 20+16.

The cost of the 6 books if you buy the set is $11.75 less.

The given parameters:

The total cost of the 6 books when bought separately is calculated as follows;

Cost = 6 x $38.25

Cost = $229.5

The difference in price is calculated as follows;

= $241.25 - $229.5

= $11.75

Thus, the cost of the 6 books if you buy the set is $11.75 less.

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Answer:

Length = 16 inches and width = 12inches

Step-by-step explanation:

A = 192 in² . The width is 4 + 1/2x.  therefore let x = length

Area = LW

192 =  x(4 + 1/2 x)

192 = 4x + 1/2x²      

384 = 8x  + x²                            Multiply each term by 2 to make a  

384 + 16 =  x² + 8x + 16              Complete the square

400 = (x  + 4)²        

[tex]\sqrt{400} = \sqrt{(x + 4)^2}[/tex]

± 20 = x + 4

20 = x + 4  or  -20 = x + 4

20 - 4 = x     or  -20 - 4 = x

    16 = x   or   -24 = x   reject the negative amount

   Length = 16

   width = 4 + 1/2(16);   4 + 8 = 12

Answer:

8 1/3 liters

Step-by-step explanation:

create a proportion from water : yard

let 'y' = water for entire yard

5/3 ÷ 1/5 = y ÷ 5/5

5/3 · 5/1 = y/1

25/3 = y/1

3y = 25

y = 8 1/3

Angles theorem and Reflexive property of congurence

The solution is

Each diagonal of a parallelogram separates it into two congruent triangles

So , ΔABC ≅ ΔCDA

Opposite angles are congruent

So , ∠B ≅ ∠D

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be ABCD

Now , AC is a diagonal of the parallelogram

According to the postulates of parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

And ,

From the figure , we can deduct that ΔABC ≅ ΔCDA by

Angle A is congruent to angle C, and angle D is congruent to angle B

So , from congruent triangle theorem ΔABC ≅ ΔCDA

And ,

∠B ≅ ∠D

Because Opposite angles are congruent of a parallelogram

Hence , Each diagonal of a parallelogram separates it into two congruent triangles

So , ΔABC ≅ ΔCDA

Opposite angles are congruent

So , ∠B ≅ ∠D

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Answer:

$6.5 dollars

Step-by-step explanation:

We can make an equation to find out the original total.

2y+4=17

(subtract 4 from both sides)

2y=13

(divide by 2)

y=6.5

Hope this helped :D

[tex] \bold{answer \: \: \to} \\ 1\frac{1}{2} \times \frac{2}{6} \times \frac{6}{1} + 4 = \\ = \frac{3}{2} \times \frac{1}{3} \times \frac{6}{1} + 4 \\ = \frac{3}{6} \times \frac{6}{1} + 4 \\ \ = \frac{18}{6} + 4 \\ = 3 + 4 \\ = \boxed{ \bold{7}}[/tex]

131° is the right answer

Step-by-step explanation:

the supplementary angle to 139° (left of that angle, still under the red l line) is 180 - 139 = 41°.

therefore,

A = 180 - 90 - 41 = 49°.

B is the supplementary angle to A.

B = 180 - 49 = 131°

remember, the sum of all angles around one point on one side of a line is 180° (that is called supplementary angles).

and the sum of all angles in a triangle is always 180° too.

Step-by-step explanation:

10 %, 7/10 and 0.2 are the three numbers that add up to 1

0.1 + 0.7 + 0.2 = 1

Answer:

1/4 = 0.25

0.5

10% = 0.1

7/10 = 0.7

15% = 0.15

0.2

10% + 7/10 +0.2 = 1

Answer:

9

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Step-by-step explanation:

11x - 47 = 6x - 2                  Corresponding angle. Add 47 to both sides

11x = 6x + 47 - 2                 Combine

11x = 6x + 45                      Subtract 6x from both sides

11x - 6x = 45                       Combine

5x = 45                              Divide by 5

5x/5 = 45/5

x = 9

Answer:

The answer is 27%, 6/22, and 3/11.

Pls mark brainliest. :D

1 ,3, 1

The first one is 1 the second is 3 and the last one is 1

Answer:

4 times because they will have the common number of 15 and since there is 60 seconds in a minute you would divide 60 by 15, and that equals 4

Step-by-step explanation:

45

since x=9 plug in 9 into the equation to get

4(9)+9

multiply 4(9) to get

36

Then add 9

which then equals 45

Answer:

answer is 45

Step-by-step explanation:

4×9=36

36+9=45

Answer:

The chance of anding on A for one spin is 90+45360=38. So the probability of that happening twice in a row is 38×38=964.

Step-by-step explanation:

hope this helps you mark me brinilylist

Answer:

1.5 feet

Step-by-step explanation:

Answer:

1.5 feet or 3/2 feet

Step-by-step explanation:

Step-by-step explanation:

Answer is student 1 and 3 ( the second option is correct )

Answer:

The answer is Student 1 and 3.

Step 1: Break down each multiple-choice.

Student 1: -(5r-3s+1)

Given the distributive law of multiplication, -, which is also known as -1, should be multiplied by every other term in the expression, which gives us -5r+3s-1

Student 2: -5r+3s+1 (given)

Student 3: -5r+3s-1

The values of Student 1 and 3 are the same, thus the answer is Student 1 and 3.

Answer:

a=7

b=11

Step-by-step explanation:

4a=3a+7

-3a -3a

a=7

2b=b+11

-b -b

b=11

sides parallel from eachother in a parallelogram are equal to eachother.

Step-by-step explanation:

I cannot draw here, but I can show and tell you how to find 2 points of the individual lines that you can then mark on the chart and draw the line through them.

1)

y = 7/2 x - 2

so, the first and easiest point is the y-intercept (where x = 0).

x = 0, therefore, y = -2

so, the first point is (0, -2)

for the second point : what value of x would eliminate the fraction and make this whole integer number calculations ?

well, x = 2 !

so,

y = 7/2 × 2 - 2 = 7 - 2 = 5

and our second point is (2, 5)

2)

y = -6x + 3

the same principles. first x = 0, therefore y = 3

the first point is (0, 3)

for the second point we can choose any integer x, as all the other terms are integer too.

let's pick x = 1

y = -6×1 + 3 = -6 + 3 = -3

so, the second point is (1, -3)

3)

y = -5

this just means that for every possible value of x the resulting y value is -5.

that means it is a horizontal line through y = -5 or (0, -5)

4)

y = 6/5 x + 1

the same principles. x = 0, therefore y = 1

the first point is (0, 1)

for the second point, again, what x eliminates the fraction and makes all an integer operation ?

well, x = 5.

y = 6/5 × 5 + 1 = 6 + 1 = 7

ok, 7 is off the chart, so let's use x = -5 instead.

y = 6/5 × -5 + 1 = -6 + 1 = -5

so, the second point on the chart is (-5, -5)

Explanation:

The concept of the additive inverse is that we add some number x, with its opposite -x, to get 0. The two items cancel each other out.

[tex]x + (-x) = 0\\ \text{or}\\-x+x = 0[/tex]

In this case, [tex]x = \sqrt{3}[/tex]

[tex]\huge \bf༆ Answer ༄[/tex]

According to the given information, The Triangle should be ~

It's because the Triangle has two equal sides 6.6 inches each. and One right angle (90°) ~

Answer:

8.85

Step-by-step explanation:

Answer:

X represents The value of players on the field

Step-by-step explanation:

the numbers 0-11 are showing how many people would be on the field should an official game be played

Answer:

1) 32/7

2) 7/5

3) 13/4

4) 32/15

5) 19/2

6) 57/14

Step-by-step explanation:

Use a calculator and/or multiple the coefficients with the value of the denominator then add it to the numerator and multiply.

Answer:

22

Step-by-step explanation:

2x+x-2=2x+9

3x-2=2x+9

x-2=9

x=11

MN=2x

MN=2(11)

MN=22

Therefore, the class will need 8 yards.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]