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3 years ago

5

Nagaraj has a party length sandwich that is 56 inches long and is to be cut into three pieces. The middle piece will be 6 inches

longer than the shortest piece, and the shortest piece will be 8 inches shorter than the longest piece. How long will the pieces be?

1 answer:

aliina [53]3 years ago

7 0

X shortest piece
X+6 middle piece
X+8 longest piece
Add them
3x+14=56
3x=42
X=42/3=14

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-8(1+8n)-8(6-4n)=-24

Naily [24]

-8(1 + 8n) - 8(6 - 4n) = -24

-8 - 64n - 48 + 32n = -24

-32n - 56 = -24

-32n = 32

n = -1

3 0

3 years ago

Solve:<br> -8(x - 3) + 5x < 9(x + 12)<br> This is Algebra 1

Flauer [41]

Answer:

x>−7

Step-by-step explanation:

left side:

-8(x-3)+5x

distribute -8 into (x-3)

-8x+24+5x

combine like terms

-3x+24

right side:

9(x+12)

distribute 9 into (x+12)

9x+108

-3x+24<9x+108

Subtract 24 on both sides

-3x< 9x+108-24

combine like terms

-3x<9x+84

Subtract 9x on both sides

-3x-9x<+84

combine like terms again

-12x<84

Multiply both sides by -1 (reverse the inequality)

(-12x)(-1)>84(-1)

12x>-84

divide both sides with 12

$\frac{12x}{12}>\frac{-84}{12}$

x>−7

hope this helps

4 0

2 years ago

Read 2 more answers

The city of Orlando’s building a dog park in downtown Orlando dog park will be triangular shaped as shown on the coordinate plan

kiruha [24]

Answer:

Perimeter of the dog park = 15.4 yards

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

P(1, 2), Q(1, 6), R(-4, 2)

Since distance between the two points $(x_1, y_1)$ and $(x_2,y_2)$ is,

d = $\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Length of PQ = $\sqrt{(1-1)^2+(2-6)^2}$

PQ = 4

Length of PR = $\sqrt{(1+4)^2+(2-2)^2}$

PR = 5

Length of QR = $\sqrt{(1+4)^2+(6-2)^2}$

QR = $\sqrt{25+16}$

= $\sqrt{41}$

= 6.4 yards

Therefore, perimeter of the given triangle = PQ + QR + PR

= 4 + 6.4 + 5

= 15.4 yards

4 0

3 years ago

Mrs Adams baked some muffins. Carl eat 2/5 of the muffins and John eat 25. How many muffins were baked?

Dennis_Churaev [7]

Answer:

Well, how many were left over? Mrs. Adams has a muffin factory and made 1 million muffins. Carl ate 2/5 or 40% or 400,000 muffins, and John ate 25. 599,975 muffins were shipped for sale. That meets the stated requirements.

Hence, we have to guess there were supposed to be no muffins left over.

In that case, Mrs. Adams baked 125/3 muffins, Carl ate 2/5 of them = 50/3, leaving 75/3 = 25 for John.

Step-by-step explanation:

x muffins baked, 2/5 eaten by Carl, 3/5 left to be eaten by John, who ate 25 before running out.

3/5 x = 25

x = 25 × 5/3 = 125/3 = 41 + 2/3

Or, Start with x muffins. Carl ate 2/5 x, leaving 3/5 x. John ate 25 with zero left over. So 3/5 x = 25.

(x - 2/5 x) - 25 = 0

3/5 x = 25

x = (5/3) × 25 = 125/3.

8 0

2 years ago

What is the surface area?

Alchen [17]

Answer:

SA: 1575.2

Step-by-step explanation:

(22)(22) + (26)(22) = (23.6)(22)

484 + 572 + 519.2 = 1575.2

I hope I helped you ;)

6 0

2 years ago