1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lutik1710 [3]
3 years ago
6

John enlarged one side of his square flower bed by 8 ft to make it into a rectangle. The area of the new flower bed is 3 times t

he area of the old one. What was the length of the side of the old flower bed.
Mathematics
2 answers:
astraxan [27]3 years ago
8 0

Answer:

4 ft

Step-by-step explanation:

We can consider the orignial square's sides to be x, so the area of the original figure:

The new flower bedś sides will be x and x+8, so the area of the new figure will be x^2+8x.

A= L*W

We know that the new area is 3 times the old one. So the equation will be:

x^2+8x=3x^2

our answer will be x=4.

Therefore, the length of the side of the old flower bed is 4 ft.

It would make my day if this gets marked as brainliest

maks197457 [2]3 years ago
4 0

Answer:

4 ft.

Step-by-step explanation:

We can consider the orignial square's sides to be x, so area of the original figure: x^{2}

The new rectangle's sides will be x and x+8, so the area of the new figure will be x^2+8x.

We know that the new area is 3 times the old one. So our equation will be:

x^2+8x=3x^2

our answer will be x=4.

Therfore, the length of the side of the old flower bed is 4 ft.

You might be interested in
Which expression is equivalent to -15x + 39?
Maurinko [17]
B use distributive property
5 0
3 years ago
Read 2 more answers
-5,-2,1,4 is models by the equation an=3n-8 find the 42 term
sleet_krkn [62]
A(42) = 3(42) - 8
The 42nd term is 118.
7 0
4 years ago
Two collinear points on a line are given in the table below:
katrin [286]

Answer:

(4,3) and (7,2) do not lie on the line

Step-by-step explanation:

Given

(0,0)\ and\ (2,1)

Required

Determine which points that are not on the line

First, we need to determine the slope (m) of the line:

m = \frac{y_2 - y_1}{x_2- x_1}

Where

(x_1,y_1) = (0,0)

(x_2,y_2) = (2,1)

So;

m = \frac{y_2 - y_1}{x_2- x_1}

m = \frac{1 - 0}{2-0}

m = \frac{1}{2}

Next, we determine the line equation using:

y - y_1 = m(x -x_1)

Where

m = \frac{1}{2}

(x_1,y_1) = (0,0)

y - y_1 = m(x -x_1) becomes

y - 0 = \frac{1}{2}(x - 0)

y = \frac{1}{2}x

To determine which point is on the line, we simply plug in the  values of x to in the equation check.

For (4,2)

x = 4 and y =2

Substitute 4 for x and 2 for y in y = \frac{1}{2}x

2 = \frac{1}{2} * 4

2 = \frac{4}{2}

2=2

<em>This point is on the graph</em>

<em></em>

For (4,3)

x = 4 and y = 3

Substitute 4 for x and 3 for y in y = \frac{1}{2}x

3 = \frac{1}{2} * 4

3 = \frac{4}{2}

3 \neq 2

<em>This point is not on the graph</em>

<em></em>

For (7,2)

x = 7 and y = 2

Substitute 7 for x and 2 for y in y = \frac{1}{2}x

2 = \frac{1}{2} * 7

2 = \frac{7}{2}

2 \neq 3.5

<em></em>

<em>This point is not on the graph</em>

<em></em>

<em></em>(\frac{4}{8},\frac{2}{8})<em></em>

<em></em>x = \frac{4}{8} and<em> </em>y = \frac{2}{8}<em></em>

<em>Substitute </em>\frac{4}{8}<em> for x and </em>\frac{2}{8}<em> for y in </em>y = \frac{1}{2}x<em></em>

<em></em>\frac{2}{8} = \frac{1}{2} * \frac{4}{8}<em></em>

<em></em>\frac{2}{8} = \frac{1 * 4}{8 * 2}<em></em>

<em></em>\frac{2}{8} = \frac{4}{16}<em></em>

<em></em>\frac{1}{4} = \frac{1}{4}<em></em>

<em></em>

<em>This point is on the graph</em>

3 0
3 years ago
Joanne's Dress Shop received an invoice dated July 25 for $1,400, with terms of 2/10, 1/15, n/60. On August 8, Joanne's Dress Sh
ss7ja [257]

The actual amount that should be credited is $757.58.

<u>Solution:</u>

Given that,

2% Discount if paid in 10 days.

1% Discount if paid in 15 days, (but greater that 10 days)

Net due in 60 days.

That is,

\bold{1400\times0.98 = 1372} will close the acount on days 1-10

\bold{1400\times0.99 = 1386} will close the acount on days 11-15

And August 8 is Day 15 and falls under the 1% discount rule.

Therefore, we have to divide the partial payment by the complement of the discount rate.

\bold{\Rightarrow\frac{750}{0.99} = 757.58} from the balance, and \bold{1400.00 - 757.58 = 642.42} is due by day 60.

5 0
4 years ago
Helppppppppppp pleaseeeeeee!
bazaltina [42]

Answer:

the second one

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Write a polynomial function with rational coefficients so that P(x) = 0 has the given roots. 4, 16, and 1 + 9i
    5·1 answer
  • What is the measure of angle b
    11·1 answer
  • How much would you need to deposit in an account each month in order to have $50,000 in the account in 8 years? Assume the accou
    14·1 answer
  • Can you show work for all of these and match them
    11·1 answer
  • Write 52% as a decimal.
    12·2 answers
  • A lazy employee at an off-campus second-hand bookstore has decided that, rather than go searching through the book to find the c
    14·1 answer
  • A rectangle has a length of 9 and a width of 7. Find the length of the diagonal. (Hint: Use
    14·1 answer
  • Ignore the one I put :&gt;
    9·1 answer
  • Help find the value of x please
    7·1 answer
  • cathy picks up 3 blouse and 2 jeans her total was $57 brenda picks up 4 blouse and 3 jeans her total was $81 how much is the cos
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!