There were 346 tickets purchased for a major league baseball game. The lower reserved tickets cost $9.50 and the upper reserved tickets cost $8.00. The total amount
of money spent was $3224.00. How many of each kind of ticket were purchased?​

Answer:

[tex](8x^{2} +5)(9x-7)[/tex]

Step-by-step explanation:

[tex]72x^{3}-56x^2+45x-35[/tex]

Out of 72x^3 and 56x^2 you can factor 8x^2

Out of 45x and -35 you can factor 5

So if you put those together you get 8x^2+5

8x^2*9x=72x^3 and 8x^2*-7= -56x^2

5*9x=45x and 5*-7= -35

Final answer:

The amount of each semi-annual interest payment that Mr. Davis receives for his fifty $1,000 bonds at an 8.5% annual interest rate is $2,125.

Explanation:

Mr. Davis purchased fifty $1,000 bonds at 96.50, and the annual interest rate is 8.5%.

To calculate the semi-annual interest payment on a bond, you first need to determine the annual interest amount per bond, and then divide it by two, because interest is paid semi-annually.

First, find the annual interest for a single bond: $1,000 x 0.085 = $85.

Since Mr. Davis owns 50 bonds, the total annual interest for all bonds is 50 x $85 = $4,250.

Now, to find the semi-annual interest payment, divide the total annual interest by 2:

$4,250 / 2 = $2,125.

Therefore, the amount of each semi-annual interest payment that Mr. Davis receives is $2,125.

Answer:

Step-by-step explanation:

1d

2c

3a

4c

6  4=110(alt exter) 3=70(Suppl of 4)   1=70(vertical with 3)

7    x=3

   8x+8=32

8x=24

x=3

8

42=8x-14

56=8x

x=7

42=56-14

Answer:

70 cm^2

Step-by-step explanation:

A=LW=10*7=70

Answer:

7x+3

Step-by-step explanation:

The only like terms are 5x and 2x

5+2=7

Answer:

7x + 3

Step-by-step explanation:

Like terms are numbers with the same variables.

In 5x+3+2x, there are two terms that have the variable x.

You can combine 5x and 2x to be 7x.

5x + 3 + 2x

= 7x + 3

3 cannot be combined with them because it has no variable.

Answer:

4/2=2

Step-by-step explanation:

Step-by-step explanation:

4/4 + 4/4

1 + 1

2

Answer:

6x^2-12x+6

Step-by-step explanation:

(2x-2)(3x-3)

6x^2-6x-6x+6

6x^2-12x+6

The product of (2x - 2) and (3x - 3) using the FOIL method is 6x^2 - 12x + 6.

The expression (2x − 2)(3x – 3) can be considered as a product of two binomials and can be solved by applying the distributive property or the FOIL method - First, Outer, Inner, Last. We first distribute the 2x from the first binomial to each term in the second binomial (6x2 - 6x) and do the same with -2 (-6x + 6). Adding these together leads to 6x2 - 12x + 6, which is none of the options provided.

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Answer:

The side length of the square is 7 inches².

Step-by-step explanation:

Given:

The dimensions of the tiles are 2 x 3, 3 x 5, 1 x 4, and 4 x 6 to form a single square.

Now, to get the length of the square formed by the tiles. We need to get the area of the square.

Area of the square formed by the four tiles = [tex]2\times 3+3\times 5+1\times 4+4\times 6[/tex]

                                                                        = [tex]6+15+4+24[/tex]

                                                                        = [tex]49[/tex]

So, the area of the square is 49 inches².

Putting the formula of square for getting the side length:

Area of the square = side²

[tex]49=side^{2}[/tex]

using square root on both sides:

[tex]7=side[/tex]

Therefore, the side length of the square is 7 inches².

Answer:

15/8 pounds of soil or 1 7/8 pounds of soil

Step-by-step explanation:

5 pots * 3/8 pound per pot = 15/8 pounds of soil

For the equation 3x + y = 15, when x is 2, y is 9; when x is 6, y is -3; when x is 0, y is 15; and when x is 3, y is 6.

To complete the table for the equation 3x + y = 15, substitute the given values of x into the equation to find the corresponding values of y:

1. For x = 2:

[tex]\[ 3(2) + y = 15 \implies 6 + y = 15 \implies y = 9 \][/tex]

2. For x = 6:

[tex]\[ 3(6) + y = 15 \implies 18 + y = 15 \implies y = -3 \][/tex]

3. For x = 0:

[tex]\[ 3(0) + y = 15 \implies 0 + y = 15 \implies y = 15 \][/tex]

4. For x = 3:

  [tex]\[ 3(3) + y = 15 \implies 9 + y = 15 \implies y = 6 \][/tex]

So, the completed table is:

x  2  9  6  0  3

y  9  3  -3  15  6

The missing values for y when x = 2 and x = 3 are 9 and 6, respectively.

The complete question is:

Complete the table with values for x or y that make this equation true: 3x+y=15

x     2     ___    6       0      3     ___     ___

y   ___     3    ___   ___   ___      0        8

Answer:

41) 7 packages

42) not sure

43) 11. 8.69/.79

44) 5. 14.50/2.90

45) 13.72. subtract

Answer:

41)7 packages

42)$10.00

43)$8.69

44)5 packages

Step-by-step explanation:

41) 14 packages =$40

÷2                     ÷2

___                  ___

  7                     20

42) 28 kuna :$5.00

      28x2=56 $5.00x2=10.00

43) 1p= $0.79

$8.69/.79=11

11p=$8.69

44) So, 44 is basically the same thing as 43, but different #s. if 1s=2.90, 14.50/2.90=5

Answer:

B. There is one boy for every 6 girls in class.

Step-by-step explanation:

When you have a ratio, it compares two numbers. When you have a ratio 1:6 the colon (:) there can be read as "is to" or "for every".

That means that ratio can be read as 1 is to 6 or "there is 1 for every 6."

In this case 1:6 represents the number of boys to the number of girls to class. This means that there is 1 boy for every 6 girls in class.

Answer:

choose b or d

Step-by-step explanation:

Answer:8.44 miles per gallon

Step-by-step explanation:

1266/150=

8.44 miles per gallon

Answer:

the guy wire is 7.211 ft long

Step-by-step explanation:

Notice that we are in the presence of a right angle triangle formed by: the height (the standing 6 ft pole), the base (the distance from the pole to the anchoring point on the ground), and the actual guy wire. See attached image for reference.

Notice that since pole and ground are perpendicular to each other (at 90 degrees) , the guy wire forms what is called the "hypotenuse" (longest side) of the right angle triangle. We can therefore use the Pythagorean Theorem to solve this problem with the formula for the hypotenuse:

[tex]Hypotenuse=\sqrt{side1^2 +side2^2} \\Hypotenuse= \sqrt{6^2+4^2}\\Hypotenuse=\sqrt{36+16} \\Hypotenuse=\sqrt{52} \\Hypotenuse=7.2111\, ft[/tex]

Answer:

Step-by-step explanation:

The total number of flowers that jasmine has to make bouquets is 84.

We need to note that she want to use all the flowers.

Now let us write down all factors of 84.

84= 1 * 84  ....(1)

   = 2 * 42 ....(2)

   = 3 * 28 ....(3)

   = 4 * 21  ....(4)

   = 6 * 14 .....(5)

   = 7 * 12  ....(6)

Now all we need is odd number of flowers in each bouquet,i.e,

All the numbers written in the right hand side of the above 1 to 6

numbered equations are factors of 84.

Since Jasmine wanted no flowers to be wasted so we can assume that number of flowers in each bouquet must be an odd factor of 84.

Therefore, odd factors of 84 are 1,3,7,21.

So Jasmine could have 84 bouquets with 1 flower in each,28 bouquets with 3 flower in each,12 bouquets with 7 flower in each or 4 bouquets with  21 flower in each.

Answer:

the answer is 7

Step-by-step explanation:

Amount owed at the end of 1 year is 3640

Given that yoko borrows $3500.

Rate of interest charged is 4% compounded each year

Need to determine amount owed at the end of 1 year.

In our case :

Borrowed Amount that is principal P = $3500

Rate of interest r = 4%

Duration = 1 year and as it is compounded yearly, number of times interest calculated in 1 year n = 1

Formula for Amount of compounded yearly is as follows:

[tex]A=p\left(1+\frac{r}{100}\right)^{n}[/tex]

Where "p" is the principal

"r" is the rate of interest

"n" is the number of years

Substituting the values in above formula we get

[tex]\mathrm{A}=3500\left(1+\frac{4}{100}\right)^{1}[/tex]

[tex]\begin{array}{l}{A=\frac{3500 \times 104}{100}} \\\\ {A=35 \times 104} \\\\ {A=3640}\end{array}[/tex]

Hence amount owed at the end of 1 year is 3640

Answer:

Step-by-step explanation:

A function is a relation between sets that associates to every element of a first set exactly one element of the second set.

Each element from the first set is assigned exactly one element from the second set.

It's not a function, because for 0 are assigned two elements 1 and 3.

Answer:

no

Step-by-step explanation:

because, 190% as a decimal is 1.9. So 1.9 times 20 is 38. Not 380.

Please mark me brainliest

Answer:

{(-3, 16),(0, 15),(3, 14)}

Step-by-step explanation:

It shows on a graph.

Answer: 54 Degrees, 2days

Step-by-step explanation:

Answer:

54 Degrees, 2days

Step-by-step explanation:

Answer:

it would be 2

Step-by-step explanation:

what you do to find the probability is to divide so you divide 60 from 12 which automatically = 5 so then you divide 10 from 5 which gives you 2

The Correct Answer is 2 times

On spinning 60 times domain landed arrow 12 times.

On 1 time spinning, he will land an arrow   [tex]\frac{60}{12}[/tex]=5

∴ number of times arrow landed on green = [tex]\frac{10}{5}[/tex]=2

Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there's only a single 3 on each die), and the number of outcomes is 6.

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Answer:

1 pound of apples cost $3.69,

1 gallon of gasoline for $3.68,

1 magazine for $3.65,

1 sandwich for $3.62.

Step-by-step explanation:

40.59/11=3.69

44.16/12=3.68

54.75/15=3.65

50.68/14=3.62

11 pounds of apples for $40.59 Equation: t = $3.69n. 12 gallons of gasoline for $44.16 Equation: t = $3.68n. 15 magazines for $54.75 Equation: t = $3.65n. 14 sandwiches for $50.68 Equation: t = $3.62n with arrowBoth.

To match the proportional relationships to their corresponding equations:

1. 11 pounds of apples for $40.59

  - The cost per pound is [tex]\( \frac{40.59}{11} \approx 3.69 \).[/tex]

  - Equation: t = $3.69n

2. 12 gallons of gasoline for $44.16

  - The cost per gallon is [tex]\( \frac{44.16}{12} \approx 3.68 \).[/tex]

  - Equation: t = $3.68n

3. 15 magazines for $54.75

  - The cost per magazine is [tex]\( \frac{54.75}{15} \approx 3.65 \).[/tex]

  - Equation: t = $3.65n

4. 14 sandwiches for $50.68

  - The cost per sandwich is [tex]\( \frac{50.68}{14} \approx 3.62 \).[/tex]

  - Equation: t = $3.62n

In each case, the equation t = kn represents the proportional relationship, where k is the constant unit rate of cost per item. The arrowBoth indicates the direction of the proportional relationship.

Answer:

7. The numbers 14/81 are relatively prime

8. b=3

9. 0.00001

19. 11

Step-by-step explanation:

7. Relatively prime numbers have no common factors. We only have to factor each number and compare

14=2*7

35=5*7

38=2*19

81=9*9

91=7*13

The first two numbers have 7 in common

The second have 2 in common

The third set have no common factors

The fourth set have 7 in common

The numbers 14/81 are relatively prime

8. [tex]b^{-3}=\frac{1}{27} => b^3=27 => b=\sqrt[3]{27} =3[/tex]

9. [tex]10^{-5}=\frac{1}{100000}=0.00001[/tex]

10. 100,000,000,000=10*10*...10 as many times as zeroes there are, so

[tex]100,000,000,000=10^{11}[/tex]

Answer:

the answer is  18m3n3

Step-by-step explanation:

Answer:

the answer is  18m3n3

Step-by-step explanation:  :)) good luck!!

Answer:

$2704.80

Step-by-step explanation:

If she makes 12% commission off of it, she makes [tex]\frac{22540}{1} *\frac{12}{100}=$2704.80\\[/tex]

Final answer:

To calculate Amelia's commission, convert the 12% commission rate to a decimal (0.12) and multiply it by her sales of $22,540. Amelia will earn a commission of $2,704.80.

Explanation:

The question asks us to calculate how much commission Amelia makes on her sales of hand-crafted jewelry, given a commission rate of 12% and sales amounting to $22,540. To find the commission, we need to multiply the total sales by the commission rate expressed as a decimal.

Steps to Calculate Commission

Convert the commission rate from a percentage to a decimal by dividing by 100: 12% / 100 = 0.12.

Multiply the sales amount by the decimal commission rate: $22,540 × 0.12 = $2,704.80.

Amelia's commission for selling $22,540 worth of jewelry is $2,704.80.

Answer:

[tex]p=\frac{4\sqrt{10}}{5}[/tex]  

Step-by-step explanation:

step 1

Find the radius of the circle

Remember that AB is a tangent to the circle at point B

so

AB is perpendicular to OA

The radius of the circle is equal to the segment OA

In the right triangle OAB

[tex]sin(30\°)=\frac{OA}{OB}[/tex]

[tex]OA=(OB)sin(30\°)[/tex]

substitute the values

[tex]OA=(16)0.5=8\ units[/tex]

step 2

Find the value of p

In the right triangle OPQ

see the attached figure to better understand the problem

Applying the Pythagoras Theorem

[tex]OP^2=OQ^2+PQ^2[/tex]

substitute the values

Remember that OP is the radius

[tex]8^2=p^2+(3p)^2[/tex]

[tex]64=p^2+9p^2[/tex]

[tex]64=10p^2[/tex]

[tex]p^2=\frac{64}{10}[/tex]

[tex]p=\frac{8}{\sqrt{10}}[/tex]

simplify

[tex]p=\frac{4\sqrt{10}}{5}[/tex]  

Answer:

80%

Step-by-step explanation:

To find percentage increase, we use the following formula:

Percentage Increase = [tex]\frac{New-Old}{Old}*100[/tex]

Here

New means the latest value (which is 18 dancers)

Old means the previous value (which is 10 dancers)

The Multiplication by 100 is to convert the decimal answer to percentage.

So, we have:

New = 18

Old = 10

Now we substitute and find:

[tex]\frac{New-Old}{Old}*100\\\frac{18-10}{10}*100\\\frac{8}{10}*100\\80[/tex]

So, there was an increase of 80%

Answer:

The stock is now worth  of $30.024.

Step-by-step explanation:

Here, the price of the stock last year =$36

The percentage down in the price of stock in a year  = 16.6 %

Now, 16.6% of the value of stock  $36  = [tex]\frac{16.6}{100}  \times 36= 5.976[/tex]

⇒16.6% of $36 =  $ 5.976

Now, the Current Worth of Stock = Stock Value last year - Decrease in the stock price

                                                         =  $36 - $ 5.976  = $30.024

Hence, the stock is now worth  of $30.024.

x = 17

m∠JKL = 87°

m∠KJL = 58°

m∠KLJ = 35°

m∠KLM = 145°

Step-by-step explanation:

The exterior angle theorem says that the sum of two interior angles is equal to the exterior angle

In the given triangle, the interior angles are:

m∠K = (7x-32)°

m∠J = (5x-27)°

The interior angle is:

m∠L = (9x-8)°

So writing mathematically

m∠J+m∠K = m∠L

[tex]7x-32+5x-27 = 9x-8\\12x -59 = 9x - 8\\12x-9x = 59-8\\3x = 51[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3} =\frac{51}{3}\\x = 17[/tex]

Now m∠JKL

= [tex]7x-32\\=7(17) - 32\\=119-32\\=87[/tex]

m∠KJL

[tex]= 5x-27\\=5(17)-27\\=85-27\\=58[/tex]

m∠KLJ

[tex]=188-9x\\=188-153\\=35[/tex]

m∠KLM

[tex]=9x-8\\=9(17) -8\\=153-8\\=145[/tex]

Hence,

x = 17

m∠JKL = 87°

m∠KJL = 58°

m∠KLJ = 35°

m∠KLM = 145°

Keywords: Angles, Triangle

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