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3 years ago

Bulletin board is 8 feet long and 5 feet wide. How many feet of border does it need?

2 answers:

7 0

8 × 5 = 40

So the border has to be 40 feet.

Hope this helps!

Work:

length × width = answer

length = 8
width = 5
answer = 40

vesna_86 [32]3 years ago

6 0

Well, all you would need to do is multiply 8 feet by 5 feet, (length times width), which would give you the area and amount of borders in feet needed, which is 40 feet in total.
I hope I helped, and PLEASE choose my answer as the Brainliest!
Thank you! =D

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Ally sold 18 boxes of girl scout cookies. This was 40% of the number of boxes that Kayla sold. How many boxes did Kayla sell?

S_A_V [24]

Answer:

Kayla sold 90 boxes of cookies.

Step-by-step explanation:

let's have X be the number of boxes Kayla sold.

x⇒100%

18⇒20%

Find x,

x=100/20 × 18

x=90

6 0

3 years ago

Solve the simultaneous equations 4x+3y=1 4x^2+3xy+y^2=2

Fantom [35]

Notice that the second equation,

4x ² + 3xy + y ² = 2

can be written as

x (4x + 3y) + y ² = 2

and the first equation says 4x + 3y = 1, so this reduces to

x + y ² = 2

Solve the first equation for x :

4x + 3y = 1

4x = 1 - 3y

x = (1 - 3y)/4

Substitute this into the reduced second equation to get a quadratic equation in y, which happens to be easily factorized and solved:

(1 - 3y)/4 + y ² = 2

1 - 3y + 4y ² = 8

4y ² - 3y - 7 = 0

(4y - 7) (y + 1) = 0

4y - 7 = 0 or y + 1 = 0

y = 7/4 or y = -1

Solve for x :

x = (1 - 3 (7/4))/4 or x = (1 - 3 (-1))/4

x = -17/16 or x = 1

So the two solutions are (x, y) = (-17/16, 7/4) and (x, y) = (1, -1).

8 0

2 years ago

280 is divided between Krutika, Natasha & Richard so that Krutika gets twice as much as Natasha, and Natasha gets three time

Tasya [4]

Answer:

Natasha gets 84

Step-by-step explanation:

Here, we want to know how much Natasha gets

Krutika gets 2 times as much as Natasha

If Natasha gets x, Krutika gets 2x

If Natasha gets x, Richard will get x/3 ( 3 times of this is what Natasha gets)

Now let us have a ratio;

K : N : R

2x : x : x/3

Multiply through by 3

6x : 3x : x

To get the amount Natasha gets, we add up all ratio; (6x + 3x + x ) = 10x

Natasha gets 3x of the total ratio

That will be;

3x /10x * 280

= 3/10 * 280

= 84

5 0

3 years ago

Help please! quadratic equation and stretch factor

Goshia [24]

Answer:

Equation: f(x)=x²-4x+3

Stretch factor: a=1

Step-by-step explanation:

Notice the x-intercepts are (1,0) and (3,0) which can help us determine the equation by setting their expressions equal to 0 and expanding:

(x-1)(x-3)=0

x²-4x+3=0

Therefore, the equation is f(x)=x²-4x+3 where the stretch factor is a=1

5 0

3 years ago

-1,-4,-7,-10 write an equation to find the nth term of each sequence. Then find a24

Natasha_Volkova [10]

Answer:

$\boxed {a_{24} = - 70}$

Step-by-step explanation:

According to the following pattern sequence ( $-1, -4, -7, -10$ ), it is Arithmetic Sequence, because every negative number is subtracted by $3$ . So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term: