The contractor for a new school put a rectangular garden in the courtyard. The length of this garden is 5 feet longer than its width. If this area is 414 square feet, what is the length of the rectangle?

Answer:

48

Step-by-step explanation:

60 divided by 5 = 12. 12 times 4 = 48 (sharpened pencils. 12 times 1 = 12 (blunt pencils)

Answer: a₉ = 327,680

Step-by-step explanation:

This seems to be a geometric sequence.

The recursive relation for this type of sequence is:

aₙ = aₙ₋₁*r

Where r is a constant.

Then we also have:

aₙ/aₙ₋₁ = r.

then we can find the value of r if we take the quotient of different consecutive terms, for example, the quotient of the second and firs term is:

r = 20/5 = 4

And the quotient between the third and second term is:

r = 80/20 = 4

Then we can conclude that r  = 4.

And also, the n-th term of this sequence can be written as:

aₙ = a₁*r^(n - 1)

such that:

a₁ = 5

r = 4

Then the n-th term of this sequence is:

aₙ = 5*(4)^(n - 1)

Then the term a₉ can be found if we just replace n by 9 in the above equation:

a₉ = 5*(4)^(9 - 1) = 5*(4)^(8) = 327,580

Answer:

609 and 341

Step-by-step explanation:

21 x 2900

divided by 100

= 609

31 x 1100

divided by 100

= 341

The answers is

[tex]x = 2[/tex]

Answer:

all the possible y-values a function can have

Step-by-step explanation:

all the possible y-values a function can have when substituting the domain/x-values

Answer:

4x+30.97777... (7 repeating)

Step-by-step explanation:

Look at image

Answer:

x = 11

Step-by-step explanation:

5x-10=3x+12

5x-3x=12+10

2x=22

x =11

Answer:

Equation: 5b + 7 = 3

Step-by-step explanation:

Unknown number = b

5 times of number = 5b

Sum of 5b and 7 = 5b + 7

Equation;

5b + 7 = 3

Answer:

Mickey

Step-by-step explanation:

Mickey is correct because if you look at the number 45.7654 whenever you round to the nearest thousandth it'll be 45.765

5 is the thousandth place so look to the right. If the number to the right is greater than 5 it'll round to 47.766 but since it's a four ti rounds down.

Answer:

x = 6

y = -9

Step-by-step explanation:

Answer:

f ( 10 x − 6 ) = 1000 x^ 3 − 1800 x ^2+ 1170 x − 306

Step-by-step explanation:

Answer:

By testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin

Step-by-step explanation:

Percentages are simply the measures of a quantity over a hundred (100), while proportional relationships are relationships that have a constant equivalent ratio

Solving proportional relationships using percentage

A proportional relationship is represented as:

[tex]y = kx[/tex]

Where k represents the proportionality constant, and x and y are the variables (or quantities).

Using percentages, then k has to be represented as a percentage.

Take for instance,

When the above instance are represented as a proportional relationship, we have:

[tex]y = 5\% \times x[/tex]

Such that

[tex]k = 5\%[/tex]

Read more about proportional relationships and percentages at:

https://brainly.com/question/11391605

Answer:

16 months

Step-by-step explanation:

1/2 = 8 (multiply 2 to both sides of the equation)

1 = 16

Answer:

UD = 20

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

The square of the tangent is equal to the product of the external part and the entire secant, that is

12² = 7.2(7.2 + CD)

144 = 7.2² + 7.2CD

144 = 51.84 + 7.2CD ( subtract 51.84 from both sides )

92.16 = 7.2CD ( divide both sides by CD )

12.8 = CD

Thus

UD = UC + CD = 7.2 + 12.8 = 20

Answer:

True.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

f(x) = ab^x

The starting value is a and it is the y intercept, not the starting value. Whatever is in the b value determines if it's exponential growth or exponential decay.

Answer:

2 • (x - 2) • (3x + 1)

Step-by-step explanation:

Answer:

car help

Step-by-step explanation:

In order to determine which type of house insurance would be considered as cheapest first it is necessary to determine either monthly or either weekly

As we know that

Generally in the month there is a 4 weeks

So For Car Help, the monthly would be

= $8.60 × 4

= $34.40

And for Car safety, the quoted price is $36.10 per week

So according to the above calculation the car help would be choose as the cheapest

maybe the answer is 17.15

Step-by-step explanation:

$13.50-$1.50=12

-$1.50

12÷.60=

20 miles to airport

Answer:

V=150cm³

Step-by-step explanation:

Formula: w×h×l

V rectangular prism: 10×3×5= 150cm³

Answer:

2628.15

Step-by-step explanation:

1909.15+ 1437.99/2=2628.15

Answer:

y = -2

x = 6

Step-by-step explanation:

hope it help

plz follow me

Answer:

hehehe

Step-by-step explanation:

Answer:

B, 1/5

Step-by-step explanation:

Because 2/5 + 2/5 = 4/5 so 5/5 - 4/5 = 1/5 so the answer would be 1/5

Answer:

Easy:

y = -3x + 3

Step-by-step explanation:

y + 3 = -3 ( x - 2 )

= y + 3 = -3x + 6

= y + 3 - 3 = -3 x + 6 - 3

= y = -3x + 3

If anyone else needs help with q's like this, I would love to help. They're rlly easy for me!

Answer:

x=5, y=4

Step-by-step explanation:

-3x+5y=5

y=x-1

substitute y

-3x+5(x-1)=5

-3x+5x-5=5

2x=10

x=5

y=x-1

y=5-1=4

Answer: .10d+.25q<_ 4

Step-by-step explanation:

d= dimes and q = quarters

dimes are worth .10 and quarters are worth .25

The inequality for the given situation is

0.1d + 0.251 ≤ 4

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

10 dimes = 1 dollar

1 dime = 0.1 dollar

4 quarters = 1 dollar

1 quarter = 0.25 dollar

Now,

The maximum amount is $4.

So,

0.1d + 0.251 ≤ 4

Thus,

The inequality is 0.1d + 0.251 ≤ 4.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

Answer:

15

Step-by-step explanation:

I hope I'm right.

Answer:

Y = 15

3 + y = 18

use inverse operations to solve... subtract 3 from both sides

y = 15

Step-by-step explanation:

hope this helps!