Betty bought two bags full of books at an annual library book sale. If she
pays a total of $12.90 for both bags, of which $0.90 is tax, how much did
each bag of books cost?

Answer:

x = 5

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other.

Therefore,

4x - 5 = 3x

4x  = 3x + 5

4x - 3x = 5

x = 5

Answer:

=-10 5/9

Step-by-step explanation:

Let's simplify step-by-step. 31/3 x− 31/6

Times the numbers

=-10 5/9

Description:

The first step is to simplify the equation  3 1/3 x -3 1/6 =. When your done simplify the equation your answer will end up as =-10 5/9

Please mark brainliest

Hope this helps.

Answer:

[tex]-10\frac{5}{9}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{3}\times \:-3\frac{1}{6}[/tex]

[tex]\frac{10}{3}\times \:-\frac{19}{6}[/tex]

[tex]-\frac{10\times \:19}{3\times \:6}[/tex]

[tex]-\frac{190}{18}=-\frac{95}{9}[/tex]

[tex]-10\frac{5}{9}[/tex]

Answer:

The standard for of this equation is x – y = 0

Firstly, options A and D are not in standard form, so they are not options.

To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).

x – y = 0

2 - 2 = 0

0 = 0

This is true for option C. Therefore, it is correct.

hope this helps

Answer:

y = -1

Step-by-step explanation:

Answer:

idk

Step-by-step explanation:

1/4 can also be written as .25

1 divided by 4 is .25

114 times .25 = answer

154 times .25  = answer

Answer:

17.8

Step-by-step explanation:

First:

put the equation together

(2x+3) * (x+2)=91

Secondly:

condense

parenthisis can be dropped and normal problem solving can be used.

5x+2=91

subtract 2 from either side of the =

this will give you 5x=89

next divide 5 from each side because it is multiplying the x

x=17.8

Answer:

4 < x < 14

Step-by-step explanation:

The third side is between the difference and the sum of the other two sides

9-5 < x < 9+5

4 < x < 14

Answer:

Place a point at

8,4

5,7

6,5

10,4

2,11

4,7

3,9

1,13

1,11

3,12

4,2

7,2

5,24

9,3

5,5

Step-by-step explanation:

Answer:

Put points on

8,4

5,7

6,5

10,4

2,11

4,7

3,9

1,13

1,11

3,12

4,2

7,2

5,24

9,3

5,5

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

first remove parentheses 11x + 22 + 3x +12 =34

then cancel equal terms 14x + 34 = 34

divide both sides by 14 14x = 0

solution x = 0

Answer:

(0,4)

Step-by-step explanation:

4x+5y=20

5y=20-4x

y=4-4/5x

y-intercept means a point on the y-axis(x=0)

y=4-4/5x

y=4-4/5(0)

y=4

Therefore, y-intercept is at (0,4)

Answer:

300000000

Step-by-step explanation:

Take speed of light and divide it by the number of years and you should have your answer.

Answer:

6.2857142857 or 6.29 is the circumference of the circle

Hey!!

Solution,

Radius=1

Circumference of circle=2 pi r

= 2*3.14*1

=6.28 units.

Hope it helps

Good luck on your assignment

Points from correct answers: 8*10=80

Incorrect answers: 18*5=90

So total points is -10 points

Answer:

False

Step-by-step explanation:

6 miles / 30 quarts

Divide by 6

1 miles / 5 quarts

30 miles /15 quarts

Divide by 15

2 miles/1 quart

These are not the same so they are not proportional

the answer is D) A and E

Answer: D. 280

Step-by-step explanation:

20 goes into 800 40 times

7×40=280

Hope this helps.

Answer:

I hope this helped and please mark me brainliest! :)

D. 280

Step-by-step explanation:

We can divide 800 bats by 20. That will give us 40. We then multiply 7 by 40 and we get 280.

Answer:

Step-by-step explanation:

When base is same, add the powers

[tex]x^{\frac{2}{3}}*x^{\frac{1}{2}}=x^{a}\\\\x^{\frac{2}{3}+\frac{1}{2}}=x^{a}\\\\x^{\frac{4}{6}+\frac{3}{6}}=x^{a}\\\\x^{\frac{7}{6}}=x^{a}[/tex]

Compare the powers,

a = 7/6

Answer:

the answer for this question is -30

Answer:

300 in³

Step-by-step explanation:

The volume (V) of a triangular prism is

V = Al ( A is the area of the triangular face and l is the length )

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 5 and h = 6 , thus

A = [tex]\frac{1}{2}[/tex] × 5 × 6 = 15 in², so

V = 15 × 10 = 150 in³

Since the triangular prisms are identical, then volume of figure is

V = 2 × 150 in³ = 300 in³

Answer:

32

Step-by-step explanation:

[tex]2(x+y)2-(xy)0\\2(5+3)2-((5)(3))0\\2(8)2-(15)0\\16(2)-0\\32-0\\32[/tex]

So the right answer is 113

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

Answer: #1 his school is out

Step-by-step explanation: #2 bcuz all sides equal to 66cm.

Please mark me brainlest.✌✌

Answer:

Yes, they are equilateral because all of the sides have the same length of 5

Step-by-step explanation:

The Triangle has 3 sides and each side measures up to be 5 so its an equilateral triangle

Answer:

(4, -0.6)

Step-by-step explanation:

The table is:

x       Given      Predicted     Residual value

1         -1.6              -1.2                  0.4

2          2.2             1.5                   0.7

3          4.5             4.7                  -0.2

4          6.1              6.7                  -0.6

The points on the residual plot must be the pairs (x, residual value). This is:

(1, 0.4)

(2, 0.7)

(3, -0.2)

(4, -0.6)

Thus, the correct choice is the last one: (4, -0.6)

The point that would be on the residual plot of the data is (4, -0.6). See the explanation below.

A residual plot is a graph in which the residuals are displayed on the vertical axis and the explanatory variables is displayed on the horizontal axis.

From the analysis of the table attached, we have the following points on the residual plot:

(1, 0.4)

(2, 0.7)

(3, -0.2)

(4, -0.6)

Point on the residual plot must include the point on x and a residual value, hence, the correct answer is (4, -0.6).

Learn more about residual plot at:
https://brainly.com/question/3297603
#SPJ2

Answer:

Examples to disprove them are as follows;

1) Angles of two different inscribed regular polygon in contact at their vertices

2) Angles on the opposite corners of a regular even sided polygon

Step-by-step explanation:

The statement to be disproved can be presented as follows;

1) ∠A and ∠B share a common vertex

2) The bisectors of ∠A and ∠B create one line then

∠A and ∠B are vertical, that is ∠A and ∠B are on the opposite sides of the point where two lines cross or ∠A = ∠B

Given that ∠A = Interior angle of a inscribed square = 90°

∠B = Interior angle of an inscribed equilateral triangle = 60°

Therefore the two circles can be arranged such that the line connecting the centers of both circles, are the bisectors of ∠A and ∠B

However, ∠A ≠ ∠B hence the two angles are not vertical QED

(2) The angles ∠A and ∠B where ∠A = ∠B are on the opposite corners of an even sided regular polygon are equal and their bisectors belong to the same line, however, it can be shown that ∠A and ∠B  are not vertical.

Answer:

The bank loan out at $5000 at 9%

Step-by-step explanation:

A bank loaned out $20,000

Let x be the amount loaned at at the rate of 9% per year

So, 20000-x amount loaned at at the rate of 17% per year

Formula : [tex]A =P(1+r)^t[/tex]

Amount at 9% interest in 1 year

[tex]A=x(1+0.09)^1[/tex]

A=1.09x

Interest = Amount - Principal = 1.09x-x=0.09x

Amount at 17% interest in 1 year

[tex]A=(20000-x)(1+0.17)^1[/tex]

A=1.17(20000-x)

Interest = Amount - Principal = 1.17(20000-x)-(20000-x)

We are given that the interest received in one year totaled $3000

So,1.17(20000-x)-(20000-x)+0.09x=3000

x=5000

So, the bank loan out at $5000 at 9%

Answer:

Similar - They are both rectangles

Similar - They are both connected

Difference- One has yellow and one has white

Difference- Both are not at the same point?

Step-by-step explanation:

Answer:

1.) It's 20th century painting

2.) 0.5 probability

Step-by-step explanation:

If the universal = 60

We need to first get the value of X. That is,

x (x - 2) + x + 2x + 8 + 10 = 60

First open the bracket

x^2 - 2x + x + 2x + 8 + 10 = 60

x^2 + x + 18 = 60

x^2 + x - 42 = 0

Factorise the above equation

x^2 + 7x - 6x - 42 = 0

x (x + 7) -6(x + 7) = 0

x = 6 or - 7

Since x can't be negative, so we will ignore -7

The value for T = 6(6 - 2) = 6×4 = 24

The value for B = 2(6) + 8 = 12 + 8 = 20

If a painting is chosen from random,

If it's from 20th century, the probability will be 34/60 = 0.567

If it's from British painting, the probability will be 30/60 = 0.5

We can therefore conclude that it's from 20th century painting since it has higher value of probability.

The the probability of choosing a British painting will be 30/60 = 0.5

Answer:

2/22， 3/33， 4/44

Step-by-step explanation:

Answer:

0.0909 9.09%

Step-by-step explanation:

Answer:

C = 31.4 inches

Step-by-step explanation:

The circumference of a circle is found by

C = pi *d

C =3.14 * 10

C = 31.4 inches

Answer:

C = 31.4 inches

Step-by-step explanation:

To find the circumfrence

C = pixd

C =3.14x10

C = 31.4 inches

Answer:

17.7 and 4.09

Step-by-step explanation:

Using the sine ratio in both right triangles

(49)

sin43° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{a}{26}[/tex] ( multiply both sides by 26 )

26 × sin43° = a, thus

a ≈ 17.7 ( to 1 dec. place )

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

(50)

sin43° = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 )

6 × sin43° = a , thus

a ≈ 4.09 ( to 2 dec. places )