What is the equation of the line that is parallel to the given
line and passes through the point (-2, 2)?
y=1/5x+4
y =1/5x+12/5
y=-5+4
y=-5x12/5

Answer:22

Step-by-step explanation:

66/3=22 so each part is 22 1 part for adults is 22

Answer:

Approx. 5.3 miles

Step-by-step explanation:

Answer:

7 inches

Step-by-step explanation:

The volume of a cylinder is calculated using

[tex]V = \pi {r}^{2}h[/tex]

where r =4 inches is the radius and V=351.68 is the volume.

To find the height of the jar, we substitute these values and solve for h.

[tex]351.68 = 3.14 \times {4}^{2} \times h[/tex]

[tex]351.68 = 50.24h[/tex]

Divide both sides by 50.24 to get:

[tex]h = \frac{351.68}{50.24} [/tex]

h=7 inches

Therefore the height of the jar is 7 inches

Diaz family spend $ 20 if they bought 3 adults tickets and 1 children's ticket

Solution:

Let "a" be the cost of each adult ticket

Let "c" be the cost of each student ticket

The Spencer family bought 3 adult tickets and 2 children's tickets for $23.50

Therefore, we frame a equation as:

[tex]3 \times a + 2 \times c = 23.50[/tex]

3a + 2c = 23.50 --------- eqn 1

The Yang family bought 2 adult tickets and 4 children's tickets for $25

Therefore, we frame a equation as:

[tex]2 \times a + 4 \times c = 25[/tex]

2a + 4c = 25 ----------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

6a + 4c = 47 ---------- eqn 3

Subtract eqn 2 from eqn 3

6a + 4c = 47

2a + 4c = 25

( - ) --------------

4a = 47 - 25

4a = 22

Divide both sides of equation by 4

a = 5.5

Substitute a = 5.5 in eqn 1

3(5.5) + 2c = 23.50

16.5 + 2c = 23.50

2c = 23.50 - 16.5

2c = 7

Divide both sides of equation by 2

c = 3.5

Thus, cost of each adult ticket = $ 5.5

Cost of each student ticket = $ 3.5

How much would the Diaz family spend if they bought 3 adults tickets and 1 children's ticket?

Total cost = 3a + 1c

Total cost = 3(5.5) + 1(3.5) = 16.5 + 3.5

Total cost = 20

Thus Diaz family spend $ 20

Final answer:

The Diaz family would spend $20 for 3 adult tickets and 1 children's ticket at the zoo after solving the system of linear equations given by the Spencer and Yang families' purchases.

Explanation:

Let A be the price of an adult ticket and C be the price of a children's ticket. We are given:

3A + 2C = $23.50 (Spencer family)

2A + 4C = $25 (Yang family)

To solve this system, we can multiply the first equation by 2 and the second equation by 3:

6A + 4C = $47 (Spencer family doubled)

6A + 12C = $75 (Yang family tripled)

Subtracting the first equation from the second gives us:

8C = $28

Dividing both sides by 8 yields:

C = $3.50

Now that we know the price of a children's ticket, we can substitute this value back into one of the original equations to find the price of an adult ticket.

3A + 2(3.50) = $23.50

3A + $7 = $23.50

3A = $16.50

A = $5.50

With the price of both ticket types known, we can now calculate the cost for the Diaz family:

3A + 1C = 3($5.50) + 1($3.50)

3A + 1C = $16.50 + $3.50

3A + 1C = $20

Therefore, the Diaz family would spend $20 if they bought 3 adult tickets and 1 children's ticket.

Answer:

Each apples cost about $0.14

Step-by-step explanation:

cost / amount = price per piece

67 / 470 = 0.14

So every apple costs about $0.14

Answer:

{(-34/7, -16/7)}

Step-by-step explanation:

Rearrange values, multiply to solve for x.

(5) 2y = 3x + 10

(-2) 5y = 4x + 8

Solve for x.

10y = 15x + 50 ↓

-10y = -8x -16

Combine and evaluate.

0 = 7x + 34

Subtract 34 from both sides.

7x = -34

Divide both sides by 7.

x = [tex]\frac{-34}{7}[/tex]

Plugin x value into either equation to solve for y.

2y = (3 × [tex]\frac{-34}{7}[/tex]) + 10

2y = [tex]\frac{-102}{7}[/tex] + 10

2y = [tex]\frac{-32}{7}[/tex]

y = [tex]\frac{-16}{7}[/tex]

Answer:

40.54

Step-by-step explanation:

32.43×3%=2.27

32.43×18%=8.107.

2.27+5.84=8.11.

32.43+8.11=40.54 total paid.

Answer:

[tex]Area\ of\ a\ trinagle = \frac{5}{12}x^2[/tex] [tex]or\ 0.42x^2[/tex]

Step-by-step explanation:

Given:

Height of the triangle [tex]h = x[/tex]

Base of the triangle [tex]b=\frac{5}{6}x[/tex]

We need to find the area of the triangle.

Solution:

Using given Formula:

[tex]Area\ of\ a\ trinagle = \frac{1}{2}bh[/tex]

Where:

b = Base of the triangle.

h = Height of the triangle.

Substitute [tex]h = x[/tex] and [tex]b=\frac{5}{6}x[/tex] in equation in given formula.

[tex]Area\ of\ a\ trinagle = \frac{1}{2}(\frac{5}{6})x\times x[/tex]

[tex]Area\ of\ a\ trinagle = \frac{5}{12}x^2[/tex]

[tex]Area\ of\ a\ trinagle =0.42x^2[/tex]

Therefore, Area of the triangle is [tex]\frac{5}{12}x^2[/tex] or [tex]0.42x^2[/tex].

Answer:

do u mean 5/12

Step-by-step explanation:

Answer: 42 units squared

Step-by-step explanation:

3x7=21

3x7=21 divided by 2 = 10.5 + 10.5 = 21 so,

21+21=42

Hope it helps

Answer:

34.5 units^2

Step-by-step explanation:

The square is A = bh.

A = 7 * 3 = 24.

The triangle is A = 0.5bh.

A = 0.5 * 7 * 3 = 0.5 * 21 = 10.5.

24 + 10.5 = 34.5 units^2.

Answer:

(x - 4), (x + 131), and (x - 5) must all be factors of f(x).

Step-by-step explanation:

Answer:

  0.24

Step-by-step explanation:

Twenty-four hundredths = 24/100 = 24×(1/100) = 24×0.01 = 0.24

_____

Both 24/100 and 0.24 are pronounced "twenty-four hundredths."

Answer:

0.24

Step-by-step explanation:

If you say hundredths with ths it means that the number is at the right side the decimal point. so that means twenty four hundredths is at the right side of the decimal point so the answer will be 0.24 hundredths.

Answer:

645.56

Step-by-step explanation:

50000/1000 13.37=673.50

673.50

-27.94

Answer:

32.5

Step-by-step explanation:

Take 30% of $25, and get 7.5, then add $7.50 to $25. Now she's making $32.50 an hour.

Answer:

9 1/3, 12 1/2, 14 3/4

Step-by-step explanation:

I assume the formula you’re working with is A=b*h since nothing says otherwise...

((Patio 1))

So you have your area (147) and your base (15 3/4), now you need to plug them in, which should look like this:

147= 15 3/4*h

You need to isolate your h in order to get the missing number, so you should divide both sides by 15 3/4 OR 63/4 ((15*3—>60+3=63))

Dividing by a fraction is the equivalent of multiplying by its reciprocal... so

147 * 4/63 = 588/63 which can be simplified to 84/9 once both the numerator and denominator are divided by 7

In mixed number for it is 9 3/9 which simplified becomes 9 1/3

You solve the other similarly

Answer:

1 necklace is $19!

Step-by-step explanation:

4•$8=$32

$70-$32=$38

$38/2=$19

He would earn an interest of $270 each year and at the end of the first year he would have $6270 in his account.

Step-by-step explanation:

⇒ SI = 6000 × 4.5 × 1/100

⇒ SI = 60 × 4.5 = $270

⇒ A = 6000 + 270

⇒ A = $6270

Answer:

9ft wide

Step-by-step explanation:

First we convert it to ratios

[tex]\frac{6}{x} \frac{2}{3}[/tex]

Then we cross-multiply

6*3=2x

Multiply 6 and 3

18=2x

Solve for x

x=18/2

x=9

Answer:

The aquarium needs 56 more gallons to be completely filled.

Step-by-step explanation:

To get the amount remaining you have to first divide 1120 by 100

1120/100=11.2

Then multiply it by 95

11.2*95=1064

You take the maximum amount (1120) and subtract the amount in the tank (1064) to get the amount left.

1120-1064= 56

With 56 gallons as your final answer.

Side 1 + side 2 + side 3 = perimeter

Step-by-step explanation:

You add all three side lengths

Answer:

4s+9c

Step-by-step explanation:

6s+9c-2s

-2s. -2s

4s+9

Answer:

The number of faculty member is 45.

Step-by-step explanation:

Ratio of faculty members to students = 1 : 15

Number of students = 675

Total = Number students + faculty members

Let the total be t

Let the faculty member be f

Representing the ratio, we have:

[tex]\frac{15}{16} * t = 675\\\frac{15t}{16} = 675\\15t = 16 * 675\\15t = 10800\\\frac{15t}{15} =\frac{10800}{15} \\t = 720[/tex]

Therefore, the total number of both the students and faculty member is 720. To get the number of faculty member:

Total = Number students + faculty members

[tex]720 = 675 + f\\f = 720 - 675\\f = 45[/tex]

The number of faculty member is 45.

Answer:

16/x - 4 = 40

16/x = 44

16 = 44x

16/44 = 44x

Hope this helps! pls rate me!

Step-by-step explanation:

Answer:

-9/4

Step-by-step explanation:

-4/3x-3=1/3x+3/4

-4/3x-1/3x-3=3/4

-5/3x=3/4+3

-5/3x=3/4+12/4

-5/3x=15/4

x=(15/4)/(-5/3)

x=(15/4)(-3/5)

x=-45/20

simplify

x=-9/4

The final amount after a 13% decrease followed by a further 6% decrease from 943, rounded to two decimal places, is 771.19.

To calculate the final amount after sequential percentage decreases, you first apply the initial percentage decrease to the original amount, then apply the second percentage decrease to the new, lower amount.

Here’s how you can do it step by step:

The calculator answer is 771.1854, but since we want the answer rounded to two decimal places, we must look at the third decimal place. Since the digit in the thousandths place (5) is greater than or equal to 5, we round up giving us a final answer of 771.19.

Answer:

yes

Step-by-step explanation:

yesAnswer:

yes you can

Step-by-step explanation:

if its a number put it as a fraction put a one number the number your divining and divide and if it's a improper fraction turn in into a mixed number :)

Answer:

420 calories

Step-by-step explanation:

180 / 3 = 60 calories

60 x 7 =420 calories

Answer:

14

Step-by-step explanation:

4+3=7

4/2=2

7•2=14

Answer: It's about 10.34%

Step-by-step explanation: