How long of a shadow would a 6-
foot man cast?​

Answer:

Cost of daylillies = $5

Cost of pot = $6

Step-by-step explanation:

Let

Cost of daylillies = x

Cost of pot = y

6x + 8y = 78 (1)

9x + 13y = 123 (2)

Multiply (1) by 9 and (2) by 6 to eliminate x

54x + 72y = 702 (3)

54x + 78y = 738 (4)

Subtract (3) from (4)

78y - 72y = 738 - 702

6y = 36

y = 36/6

y = 6

Substitute y = 6 into (1)

6x + 8y = 78 (1)

6x + 8(6) = 78

6x + 48 = 78

6x = 78 - 48

6x = 30

x = 30/6

x = 5

Cost of daylillies = $5

Cost of pot = $6

Answer:

46

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Answer:

this is a test but its he second one :D

Step-by-step explanation:

Answer:

turn and rotate

Step-by-step explanation:

Answer:

Flip then slide

Step-by-step explanation:

I think if you flip the shape it will go the direction of the blue shape then you just need to slide it

Answer:

???

Step-by-step explanation:

Answer:

c = 75

Step-by-step explanation:

Add 6 to both sides: 2/5c = 30

Divide both sides by 2/5 (or multiply by reciprocal of 5/2): c = 150/2

c = 75

Answer:

D

B

Step-by-step explanation:

1. x² - 5x = 14

x² -5x -14 = 0

x² +2x -7x -14 = 0

x(x + 2) -7(x + 2) = 0

x - 7 or x + 2 = 0

x = 7 or x = -2

2. y² + 6y + 9 = 49

y² + 6y +9 -49 = 0

y² +6y -40 = 0

y² +10y -4y -40 = 0

y(y + 10) -4(y + 10) = 0

y -4 or y + 10 = 0

y = 4 or y = -10

Answer:

(y – 4) = 2(x – 2)

Step-by-step explanation:

point slope: y – y₁ = m ( x - x₁ ).

slope: m = ∆y / ∆x.

_______________

m = ∆y / ∆x = [ 6 – 4 / 3 – 2 ] = [ 2 / 1 ]

= 2

____________________________

(2, 4) → (x₁, y₁).

2 → m.

y – y₁ = m(x – x₁) → y – 4 = 2(x – 2).

Answer:

y-4=2(x-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

there are two polygons each the same.The perimeter of the smaller polygon is 66 feet and the ratio of the corresponding side lengths are 3/4 the size of the 66feet. find the perimeter of the other polygon remember they are the same.

Answer:

Step-by-step explanation:

2x6yz

Answer: He OLD! XD

.

.

.

.

Answer:

x = -1

Step-by-step explanation:

[tex]6x - y = 16x - y - 1\\-10x = -1\\x = 1/10[/tex]

Since this is the equation of a vertical line, that means that the new one will also just be in the form x = ?.

Since the x - value is -1, the equation is x = -1

Answer:

a)7

b)x=6

Step-by-step explanation:

Answer:

z = 4, x = 6

Step-by-step explanation:

(a)

[tex]\frac{5z+1}{3}[/tex] = 7 ( multiply both sides by 3 to clear the fraction )

5z + 1 = 21 ( subtract 1 from both sides )

5z = 20 ( divide both sides by 5 )

z = 4

(b)

[tex]\frac{5x}{3}[/tex] + 3 = x + 7 ( multiply through by 3 to clear the fraction )

5x + 9 = 3x + 21 ( subtract 3x from both sides )

2x + 9 = 21 ( subtract 9 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Answer:

volume = 2 x 2 x 2 = 8 cm²

Step-by-step explanation:

Answer:

I think it's correct, I agree :)

Answer:

10

Step-by-step explanation:

The value of the account will reach $152,800 in 10 years.

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

Interest compounded continuously means there is no limit for the process of compound of interest. It is compounding infinite times.

The formula for calculating the final amount when the interest is compounded continuously is,

A = P e^(r t)

Here, A is the final amount, P is the initial or principal amount, r is the rate of interest and t is the number of years.

Given that,

A = $152,800

P = $79,000

r = 6.8% = 6.8/100 = 0.068

We have to calculate t.

152,800 = 79,000 e^(0.068 t)

152,800 / 79000 = e^(0.068 t)

1.934 = e^(0.068 t)

Taking logarithms on both sides,

㏑ 1.934 = ㏑ e^(0.068 t)

We have ㏑(a)ⁿ = n ㏑(a)

0.65968 = 0.068t ㏑ e

0.65968 = 0.068 t × 1

t = 9.7 ≈ 10 years

Hence the amount is compounded to $152,800 in 10 years.

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Answer:

specify?

Step-by-step explanation:

give us a image

Answer:

whats the questiong tho

Step-by-step explanation:

9514 1404 393

Answer:

  0.19/lb

Step-by-step explanation:

When computing cost per quantity, the cost is divided by the quantity.

  2.99/(16 lb) = 0.186875/lb ≈ 0.19/lb

Answer:

heyy it's me again lol but  The unit rate is $0.19/lb.

Step-by-step explanation:

Divide the total by the number of pounds to get the price per pound, or the unit rate.

$2.99 ÷ 16 lb = 0.186875

Since 0.186875 isn't an accurate US dollar amount, round  to nearest hundredth, 0.19.

so you answer is $0.19/Ib

God bless you!

Answer:

Width = 5x +3

Step-by-step explanation:

15x² - 16x - 15  =  15x² - 25x +  9x  - 3 *5

                       = 5x(3x - 5) + 3(3x - 5)

                      = (3x - 5)(5x + 3)    

Width = [tex]\frac{Area}{length}[/tex]

          [tex]= \frac{15x^{2}-16x - 15}{(3x-5)}\\\\=\frac{(3x-5)(5x+3))}{(3x-5)}\\\\=5x + 3[/tex]

Answer:

8 visits

Step-by-step explanation:

Create an equation, where x is the number of visits to the theater.

Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.

85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.

12.5x + 85 = 185

Solve for x:

12.5x = 100

x = 8

So, Aria needs to make 8 visits to earn a free movie ticket

Aria must make 8 visits to earn a free movie ticket when She needs 185 points for a free movie ticket.

By given she has  85 rewards points just for signing up.

She earns 12.5 points for each visit to the movie theater.

She needs 185 points for a free movie ticket.

We must find how many visits does aria has to make to earn a free movie ticket

If two expressions with equal sign is called as equation.

Let  x is the number of visits to the theater.

Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.

85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.

12.5x + 85 = 185

12.5x = 100

x = 8

So, Aria needs to make 8 visits to earn a free movie ticket

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Answer:

8

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

The factors of 48 are 1,2,3,4,6,8,12,16,24,48;

The factors of 96 are 1,2,3,4,6,8,12,16,24,32,48,96

Answer:

4(25) + 6(-5) -2 = 100 - 30 -2 = 70 - 2= 68

Step-by-step explanation:

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

or

1/3d - 4 × 2 =72

let d = dawn

let e = erik

let j = jiro

let a = alita

remember that a number next to a variable means multiplication.

The equation could  write to represent this situation is

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

An equation can be defined as a statement that supports the equality of two expressions joined by the equal sign "=". For example, 2x – 5 = 13.  These are the expressions  2x – 5 and 13.The sign connecting these two expressions is "=".

In algebra, an equation is a condition of a variable. It will be filled only with the value specified by the variable. This means that the equation 2x – 5 = 13 is satisfied only when x = 9.

Equations are different, for example:

Let us suppose ,

age of Erik is e

dawn is d

Jiro is j

Alita is a

The equation could write to represent this situation is

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

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Answer:

4 es esa ????k nose