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yawa3891 [41]
4 years ago
11

I NEEEEEEDD HELP IMMEDIATELY PLEASE

Mathematics
1 answer:
suter [353]4 years ago
3 0

Answer:

19.375

Step-by-step explanation:

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Maggie bought a total of 30 pounds of three different types of produce to feed her hungry hippopotamus.
Scorpion4ik [409]

Let b pounds be the weight of bananas, d pounds - weight of dragon fruit and g pounds - weight of guavas Maggie bought.

1) Maggie bought a total of 30 pounds of bananas, guavas and dragon, then

b+d+g=30.

2)

  • Bananas cost $1 per pound, then b pounds of bananas cost $b;
  • Guavas cost $2 per pound, then g pounds of guavas cost $2g;
  • Dragon fruit costs $3 per poundd pounds cost $3d.

In total Maggie spent $46, thus,

b+2g+3d=46.

3) The weight of the bananas (b pounds) that Maggie bought was twice the weight of the guavas (g pounds) and dragon fruit (d pounds) combined. So

b=2(g+d).

The system of equations is

\left\{\begin{array}{l}b+d+g=30\\b+2g+3d=46\\b=2(d+g)\end{array}\right.

Answer: equations 1, 2 and 5 are correct

7 0
3 years ago
What is the length of chord cd in 0 below
LenKa [72]

Answer:

I believe 5 units

Step-by-step explanation: I believe it is five units because the other one Chord AB is also 5 units.  Plz mark brainliest if correct


4 0
3 years ago
Read 2 more answers
Resolve into partial fraction. (5x+2)/3x²+4x-4​
gladu [14]

Answer:

\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}

Step-by-step explanation:

Ooook, step 1: write the denominator as a product, or we're not going anywhere. Can't spot any two factor by staring at it, so quadratic formula it is.

x= \frac13(-2 \pm \sqrt{4+12})=\frac13(-2\pm4) = -2;\frac23

We got our toots, let's split the denominator now: 3x^2+4x-4 = (3x-2)(x+2)\\

Now it's all a matter of writing down what we need:

\frac{5x-2}{3x^2+4x-4}=\frac{5x-2}{(3x-2)(x+2)} = \frac{A}{3x-2}+\frac{B}{x+2} = \frac{A(x+2)+B(3x-2)}{(3x-2)(x+2)}=\frac{Ax+2A+3Bx-2B}{(3x-2)(x+2)} =\frac{(A+3B)x+(2A-2B)}{(3x-2)(x+2)}

Here comes the fun part. Two ways: the fast and loose, and the long one.

<u>Fast and loose</u>: let's look only at the numerators of the 3rd to last and first step: A(x+2)+B(3x-2) = 5x+2 If we plugged a convenient value, let's say x=-2 the coeffcent of A would disappear, and we would be able to find B. Let's do it. A(-2+2) + B(3(-2)-2) = 5(-2)+2 \rightarrow -8B =-8 B=1

At this point we have B, let's pick a different value of x, let's say 1, to get A:

A(3) + 1(1) = 7 \rightarrow 3A=6 \rightarrow A=2

<u>More traditional: </u>Pick the first and last numerators: 5x+2 = (A+3B)x+(2A-2B). Stare at them long enough and pick your favourite excuse to justify the following system (two polynomials are equal if the coefficents are equal, polynomials create a vector space of base (1,x,x^2...)

\left \{ {A+3B=5} \atop {2A-2B=2}} \right.

Again, A=2, B=1 is a solution.

Either way, the solution is:

\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}

6 0
3 years ago
How much would $500 invested at 7% interest compounded annually be worth after 5 years?
Juliette [100K]
Interest compound= p(r+1)^t     A=interest compound

7%= 7/100=0.07
A=500(0.07+1)^5
A=701.28

8 0
3 years ago
Find the slope of the line below
Rus_ich [418]

Answer:

(5,1) (8,5)

(5-1)/(8-5)= 4/3 is the slope

4 0
4 years ago
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