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Setler [38]
2 years ago
8

10 points Help Me Please I will give brainiest I did too part​

Mathematics
1 answer:
nikklg [1K]2 years ago
7 0

Answer:

c because it is slower than 2 gallons per minute it is 1 gallon per 2 minutes. hope this helps:)

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the area of a rectangle is 96m^2 and the circumference is 39.2m. Determine the dimensions if the rectangle​
goldenfox [79]

Answer:

Dimension => 10 m × 9.6 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 96 m²

Circumference (C) = 39.2 m

Dimension =.?

Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:

Let L be the Lenght

Let B be the breadth

Area of a rectangle = L × B

96 = L × B ..... (1)

Circumference of rectangle = 2(L + B)

39.2 = 2(L + B) .... (2)

From equation 2, make L the subject

39.2 = 2(L + B)

Divide both side by 2

39.2 /2 = L + B

19.6 = L + B

Rearrange

L = 19.6 – B ....(3)

Substitute the value of L in equation 3 into equation 1

96 = L × B

L = 19.6 – B

96 = (19.6 – B ) × B

Clear bracket

96 = 19.6B – B²

Rearrange

B² – 19.6B + 96 = 0

Solving by factorisation

B² – 10B – 9.6B + 96 = 0

B(B – 10) – 9.6(B – 10) = 0

(B – 9.6)(B – 10) = 0

B – 9.6 = 0 or B – 10 = 0

B = 9.6 or B = 10

Substitute the value of B into equation 3:

L = 19.6 – B

B = 9.6

L = 19.6 – 9.6

L = 10

Or

L = 19.6 – B

B = 10

L = 19.6 – 10

L = 9.6

Since the length is always longer than the breadth,

Length (L) = 10 m

Breadth (B) = 9.6 m

Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:

Length (L) = 10 m

Breadth (B) = 9.6 m

Dimension =?

Dimension = L × B

Dimension = 10 m × 9.6 m

5 0
3 years ago
If the ecpression (2x 4) 3 was written in ax b forrm what is the sum of a and b
WITCHER [35]

Answer:

11

Step-by-step explanation:

8 0
3 years ago
Ariana Grande put her 7 rings in a rectangular plate that had an area of 54 square inches. If the length of the is 12 inches, wh
weqwewe [10]

Answer:

4 1/2 inches

Step-by-step explanation:

if you have an area of 54 square inches. Then you divide 54 by 12 and get 4 and 1/2 square inches

6 0
2 years ago
Read 2 more answers
Jerry is making a strawberry smoothie which statement about the recipe is true
Usimov [2.4K]

Answer: for one you need to send the recipe and mark me as brainliest answer plz

Step-by-step explanation:

7 0
3 years ago
Solve the systems by the addition method x - 2y = - 4 2x + y = 7
vfiekz [6]
<h2>x - 2y = -4</h2><h2>2x + y = 7</h2><h2 />

To solve this system of equations by addition, our first goal is to cancel

out one of the variables by adding the two equations together.

However, if we add these two equations together right away, nothing

will cancel so we need to set things up so a variable will cancel.

Notice that we have an 2x in our second equation.

If we had a -2x in our first equation, then the x's would cancel out.

In order to create a -2x in the first equation, we simply

multiply both sides of the first equation by -2.

So we have (-2)(x - 2y) = (-4)(-2) which can be rewritten as -2x + 4y = 8.

Now rewrite both equations, as shown below.

<h2>-2x + 4y = 8</h2><h2>2x + y = 7</h2><h2 />

Now when we add the equations together, the x terms

will cancel out and we're left with 5y = 15.

Dividing both sides by 5, <em>y = 3</em>.

To solve for x, plug a 3 in for y in either one of our 2 original equations.

So let's go with our second equation.

Plugging a 3 in for y, we get 2x + (3) = 7.

Now subtract 4 from both sides to get 2x = 4.

Dividing both sides by 2, we fid that <em>x = 2</em>.

Since x = 2 and y = 3, our answer is the ordered pair (2, 3).

5 0
3 years ago
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