Azand sold some books at $44 each and used money to buy some concert tickets at $60 each. He had no money left over after buying the tickets. What is the least amount of money he could have earned from selling the books ? What is the least number of books he could have sold ?

Answer:  See Below

Step-by-step explanation:

(b) Make a table of white ovals and black ovals.  You will notice that

white starts with 3 and adds 3 to each design → 3 + 3(d - 1) = 3d

black starts with 4 and adds 4 to each design → 4 + 4(d - 1) = 4d

[tex]\begin{array}{c|c|c}\underline{\text{Design \#}}&\underline{\text{white ovals}}&\underline{\text{black ovals}}\\1&3&4\\2&6&8\\3&9&12\\4&3(4)=12&4(4)=16\\5&3(5)=15&4(5)=20\\6&3(6)=18&4(6)=24\\\cdot&\cdot&\cdot\\\cdot&\cdot&\cdot\\\cdot&\cdot&\cdot\\n&3n&4n\end{array}[/tex]

white ovals when design = 30   --->    3d = 3(30) = 90

black ovals when design = 100   --->   4d = 4(100) = 400

white ovals when design = 50   --->   3d = 3(50) = 150

black ovals when design = 50   --->   4d = 4(50) = 200

                                                                  TOTAL = 350

**********************************************************************************

(c) Make a table of rods and squares.  You will notice that

rods start with 19 and add 12 to each design → 19 + 12(d - 1) = 12d - 7

squares start with 6 and add 4 to each design → 6 + 4(d - 1) = 4d + 2

[tex]\begin{array}{c|c|c}\underline{\text{Design \#}}&\underline{\qquad \text{rods}\qquad }&\underline{\qquad \text{squares}\qquad }\\1&19&6\\2&31&10\\3&43&14\\4&12(4)-7=55&4(4)+2=18\\5&12(5)-7=67&4(5)+2=22\\6&12(6)-7=79&4(6)+2=26\\\cdot&\cdot&\cdot\\\cdot&\cdot&\cdot\\\cdot&\cdot&\cdot\\n&12n-7&4n+2\end{array}[/tex]

rods when design = 15   --->    12d - 7 = 12(15) - 7 = 173

squares when design = 15   --->   4d + 2 = 4(15) + 2 = 62

Answer:

y=-3/2x+5

Step-by-step explanation:

3x + 2y = -4

2y=-4-3x /:2

y=-4/2-3x/2

y=-3/2x-2

Slope=-3/2(=m) , because this line is parallel slope is the same, then

y-y1=m(x-x1) ,where

A(4,-1).... x1 =4, y1 =-1

y-(-1)=-3/2(x-4)

y+1=-3/2x+3/2*4

y+1=-3/2x+6

y=-3/2x+6-1

y=-3/2x+5

Answer:

i guess it is 6? maybe

Step-by-step explanation:

Answer: I WOULD SAY 24 BUT FOR SOME REASON IT IS 6

Step-by-step explanation:

Answer he had 24 pieces

Step-by-step explanation: 5 children had 3 each 5 x 3 = 15

and 9 for him self 15+9=24

The missing length x is 99 m.

Solution:

Given polygons are similar.

If two triangles are similar, then the corresponding sides are in proportion.

[tex]$\Rightarrow\frac{81}{18}=\frac{x}{22}[/tex]

Multiply by 22 on both sides, we get

[tex]$\Rightarrow\frac{81}{18}\times 22=\frac{x}{22}\times 22[/tex]

[tex]$\Rightarrow\frac{9}{2}\times 22=x[/tex]

⇒ 9 × 11 = x

⇒ 99 = x

Switch the sides.

⇒ x = 99

The missing length x is 99 m.

The greatest number of DVDs that Tony can pack in each box is 6, which is the greatest common divisor of 12, 24, and 30.

To find the greatest number of DVDs that Tony can pack in each box, we need to determine the greatest common divisor (GCD) of the quantities of each type of DVD. The GCD is the largest number that can evenly divide all the given numbers without leaving a remainder. The numbers of DVDs are 12 (comedy), 24 (animated), and 30 (musical).

Here are the steps to find the GCD:

Thus, the greatest number of DVDs Tony can pack in each box is 6.

Answer:

Vertical translations would affect the horizontal asymptote.

Answer:2

Step-by-step explanation:

Log49 7=Log49/Log7=2Log7/Log7

=2

Answer:

Its a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Just did it

Answer:

0.5

Step-by-step explanation:

The formula for area of a parallelogram is b × h, so we can use this to find the missing value.

b × h = a

8 × h = 4

÷ 8 ÷ 8

h = 0.5

To check:

8 × 0.5 = 4, which is correct.

Your real answer is

16

10

160

got it right on edg.

Answer:

[tex]f(g( - 4)) = 196[/tex]

Step-by-step explanation:

The functions are;

[tex]f(x) = {x}^{2} [/tex]

and

[tex]g(x) = 3x - 2[/tex]

We want to find

[tex]f(g( - 4))[/tex]

First we find g(-4) to get:

[tex]g( - 4) = 3 \times - 4 - 2[/tex]

[tex]g( - 4) = - 12- 2[/tex]

[tex]g( - 4) = - 14[/tex]

Now

[tex]f(g( - 4)) = f( - 14)[/tex]

This implies that,

[tex]f(g( - 4)) = {( - 14)}^{2} [/tex]

[tex]f(g( - 4)) = {( - 14)} \times - 14[/tex]

[tex]f(g( - 4)) = 196[/tex]

Answer:

48 yards

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]r=7.6\ yd\\\pi=3.14[/tex]

substitute

[tex]C=2(3.14)(7.6)=48\ yd[/tex]

Answer: 48 yards

Step-by-step explanation:

The circumference of a circle can be calculated with the following formula:

[tex]C=2\pi r[/tex]

Where "C" is the circumference of the circle and "r" is the radius of the circle.

In this case you know that the radius of the circular track is the following:

[tex]r=7.6\ yd[/tex]

Knowing tha radius, you can substitute it into the formula (According to the information given in the exercise, you need to use [tex]\pi =3.14[/tex])

[tex]C=2(3.14)(7.6\ yd)[/tex]

Finally, you need to evaluate.

Therefore, you get that the whole yards of fencing that they need to purchase to enclose the track is:

[tex]C\approx48\ yd[/tex]

the total cost of a $76.01 item is $81.14 .

Step-by-step explanation:

Here we have ,  sales tax is six 3/4% . We need to find that what is the total cost of a $76.01 item .Let's find out:

Sales tax is actually the extra money we need to give apart from actual cost of item which is given to government or concerned authority .

Tax is 6(3/4)% of cost price i.e.

[tex]Tax = \frac{cost-price(6\frac{3}{4})}{100}[/tex]

⇒ [tex]Tax = \frac{cost-price(6\frac{3}{4})}{100}[/tex]

⇒ [tex]Tax = \frac{(76.01)(6.75)}{100}[/tex]

⇒ [tex]Tax = \frac{513.06}{100}[/tex]

⇒ [tex]Tax = 5.13[/tex]

So, total cost = $76.01 + $5.13

total cost = $81.14

Therefore, the total cost of a $76.01 item is $81.14 .

Answer:

x = 12; y = 60

Step-by-step explanation:

The opposite sides of a parallelogram are always equal, so x+3 = 15, making x = 12

The opposite angles of a parallelogram are always equal, making y = 60

Answer: 150 miles

Step-by-step explanation:

The distance between Chicago and Indianapolis is approximately 150 miles.

To find the distance between Chicago and Indianapolis using their latitude and longitude coordinates, we can apply the Pythagorean theorem. The distance between two points on the Earth's surface can be approximated by considering the Earth as a flat plane, which is reasonable for relatively short distances like the one between these two cities.

The difference in latitude (north-south distance) between Chicago and Indianapolis is:

[tex]\[ 42N - 40N = 2N \][/tex]

The difference in longitude (east-west distance) between the two cities is  [tex]\[ 86W - 88W = 2W \][/tex]

Since each degree is approximately 53 miles, we can calculate the north-south distance and the east-west distance:

North-south distance in miles:

[tex]\[ 2N \times 53 \text{ miles/degree} = 106 \text{ miles} \][/tex]

East-west distance in miles:

[tex]\[ 2W \times 53 \text{ miles/degree} = 106 \text{ miles} \][/tex]

Now, we can use the Pythagorean theorem to find the straight-line distance (the hypotenuse of the right triangle formed by the north-south and east-west distances):

Let [tex]\( d \)[/tex] be the distance between the two cities, then:

[tex]\[ d^2 = (106 \text{ miles})^2 + (106 \text{ miles})^2 \] \\[/tex]

[tex]\[ d^2 = 11236 \text{ miles}^2 + 11236 \text{ miles}^2 \] \\[/tex]

[tex]\[ d^2 = 22472 \text{ miles}^2 \] \\[/tex]

[tex]\[ d = \sqrt{22472 \text{ miles}^2} \] \\[/tex]

[tex]\[ d \approx 150 \text{ miles} \][/tex]

Answer:

X = 4

Step-by-step explanation:

Solve for x.

-3x + 4 = -8

Make sure to subtract both sides.

-3x (+4 -4) = -8 - 4

-3x= -12

Divide by -3 on both sides.

-3x/-3 = -12/-3

Answer:

4

Step-by-step explanation:

-3x + 4 = -8

Subtract 4 from both sides

-3x + 4 - 4 = -8 - 4

-3x = -12

Divide both sides by by -3

x = -12/-3

x = 4

Answer:

The slope of the equation is:   [tex]m=\frac{2}{3}x[/tex]

Step-by-step explanation:

Given the equation

[tex]y=\frac{2}{3}x-1[/tex]

As the equation in slope intercept form

[tex]\:y=mx+b[/tex]

Here:

Comparing the equation in slope intercept form

[tex]y=\frac{2}{3}x-1[/tex]

so

[tex]m=\frac{2}{3}x[/tex]

Therefore, the slope of the equation is:   [tex]m=\frac{2}{3}x[/tex]

Answer:

The distribution positively skewed

Step-by-step explanation:

We have the mean of a distribution to be 276, while the median is 231.

When compare the mean and median,

we gave

276>231

Since the mean is greater than the median, the distribution is skewed to the right.

In other words, the the distribution is positively skewed.

Answer:

Positively skewed

Step-by-step explanation:

Answer:

I believe it would be a chemical change as there would be no way to reverse it

Answer: B) 42 + x = 90

Step-by-step explanation:

A complementary angle always equals 90 degrees. So, with that information, all you have to do is list the measurement of b as x and create an equation. Knowing that the measurement of angle a is 42 degrees, we can now find an equation. So, we would take the measurement of angle a, 42 degrees, and add the measurement of angle b, listed as x, which should equal 90 degrees.

Final answer:

The quadratic equation in standard form is t² + 14.3t - 20 = 0. It can be solved using the quadratic formula.

Explanation:

The quadratic equation in standard form that represents the given table is:

t² + 14.3t - 20 = 0

Where t represents the variable and the constants are a = 1.00, b = 14.3, and c = -20.0. The solutions to this equation can be found using the quadratic formula:

t = (-b ± √(b² - 4ac)) / (2a)

Answer:

x = -10/7

Step-by-step explanation:

Step 1:  Combine like terms

4 - 6 + 2x - 9x - 8

-7x - 10

Step 2:  Solve for x

-7x - 10 = 0

-7x - 10 + 10 = 0 + 10

-7x / -7 = 10 / -7

x = 10/-7

Answer:  x = -10/7

Answer:

560

Step-by-step explanation:

Answer: 560

Since it did not hit 565 it is 560.

The length around the rug is the circumference.

The formula is C = 2 x PI x r

C = 2 x 3.14 x 5 = 31.4 feet

For this case we must find the perimeter of the circular carpet.

By definition, the perimeter of a circle is given by:

[tex]P = 2 \pi * r[/tex]

Where:

r: It is the radius of the circle

According to the statement we have:

[tex]r = 5 \ ft[/tex]

Substituting:

[tex]P = 2 * 3.14 * 5\\P = 2 * 3.14 * 5\\P = 31.4 \ ft[/tex]

So, you need[tex]31.4 \ ft[/tex]

Answer:

[tex]31.4 \ ft[/tex]

Answer: OPTION A.

Step-by-step explanation:

A dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape, but they have different sizes.

In this case you know that the dilation is centered at the origin and the scale factor is:

[tex]k=0.5[/tex]

Therefore, the rule is the following:

[tex]Q(kx,ky)[/tex]

You can identify in the figure attached that the point Q is:

[tex]Q(1,5)[/tex]

Therefore, you must multiply its coordinates by the scale factor 0.5 in order to get its Image Q'. This is:

[tex]Q'=(1*0.5,5*0.5)\\\\Q'=(0.5.2.5)[/tex]

Final answer:

The image of point Q for a dilation with a scale factor of 0.5 and center (0,0) is (option A) (0.5, 2.5).

Explanation:

To find the image of point Q, we need to apply the dilation equation: (x', y') = (k * x, k * y), where (x, y) are the coordinates of the original point and k is the scale factor.

In this case, the center of dilation is (0, 0) and the scale factor is 0.5. So, for point Q which has coordinates (x, y), the image coordinates (x', y') will be:

(x', y') = (0.5 * x, 0.5 * y)

Therefore, the image of point Q will be (option A) (0.5, 2.5).

Answer:

0.33333333333

Step-by-step explanation:

Typing 1/3 in a calculator gives 0.333333333333

Answer:

Kevin needs 96 points on his last test to raise his mean test score to 90 points.

Step-by-step explanation:

we know that

The mean score is the total of all scores divided by the total number of tests.

Let

x_1 ----> the score in the first math test

x_2 ----> the score in the second math test

x_3 ----> the score in the third math test

x_4 ----> the score in the fourth math test

we have

After taking the first 3 tests, his mean test score is 88 points

so

[tex]\frac{x_1+x_2+x_3}{3} =88[/tex]

[tex]x_1+x_2+x_3=264[/tex] ----> equation A

How many points does he need on his last test to raise his mean test score to 90 points?

so

[tex]\frac{x_1+x_2+x_3+x_4}{4} =90[/tex]

[tex]x_1+x_2+x_3+x_4=360[/tex] ----> equation B

substitute equation A in equation B

[tex]264 + x_4 = 360[/tex]

solve for x_4

[tex]x_4 = 360-264[/tex]

[tex]x_4 = 96[/tex]

Therefore

Kevin needs 96 points on his last test to raise his mean test score to 90 points.

Answer:

No, as a scalene triangle's sides are are different, while an equilateral's sides are all the same.

Hope that helps, :)