All categories

2 years ago

A garden has an area of 286ft. It’s length is 9ft more than it’s width. What are the dimensions of the garden?

Mathematics

1 answer:

Gelneren [198K]2 years ago

3 0

Answer:

Step-by-step explanation:

x × (x + 9) = x² + 9x = 286
x² + 9x - 286 = 0
(x - 13)(x + 22)
x = 13 or -22
Since you cannot have negative length, it’s 13

You might be interested in

Sierra is saving money to buy a bike the bike costs $245. she has $125 saved and each week she adds $15 to her savings. how many

beks73 [17]

You should start with an equation.
$245 = 125 + 15x$
The 'x' represents the week.

so now, we have to subtract 125 from the total amount which is 245.
$245 - 125 = 120$
now we have
$120 = 15x$
to find 'x', we must divide 15 on each side
$\frac{120}{15} = \frac{15x}{15}$
we are now left with
$8 = x$
that means Sierra will have 8 weeks until she has enough money to buy the bike

4 0

3 years ago

There were 300 people at the dance.tickets cost $5 for visitors and $3 for students. the total ticket sales were $1100. how many

frez [133]

There were 200 students that attend the dance.

7 0

3 years ago

Consider the graph of function f.

satela [25.4K]

As x heads off to negative infinity (towards the left side), the curve slowly approaches the horizontal line y = 1. It will never actually touch or cross this horizontal line. It simply gets closer and closer. Think of it as an electric fence of sorts.

Therefore the horizontal asymptote is y = 1

7 0

3 years ago

1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound

Rufina [12.5K]

1) Resultant fraction: $\frac{65}{63}$

2) Total soil: $1\frac{7}{8}$ pounds

3) Result of the product: $\frac{35}{2}$

Step-by-step explanation:

In this problem, we want to find the product between the two fractions

$\frac{13}{14}$

and

$\frac{10}{9}$

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

$\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}$

Now we simplify, dividing both numerator and denominator by 2:

$\frac{130/2}{126/2}=\frac{65}{63}$

And the fraction cannot be further simplified.

Here we have:

n = 5 (number of pots that Andy has)

$s=\frac{3}{8}$ (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

$t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}$