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Black_prince [1.1K]
3 years ago
7

Can someone help me on these ???

Mathematics
2 answers:
krok68 [10]3 years ago
8 0
Multiply 81.5p and divide 7.5% you get the answer
Serjik [45]3 years ago
8 0
It can take 1200 liters....and it already has 450 liters.....so it needs (1200 - 450) = 750 liters to fill it up to full capacity.

and the price is 81.5 pounds per liter......for 750 liters...
81.5 * 750 = $ 61125 pounds

and he gets a 7.5% discount...
so his discount would be : 0.075 * 61125 = 4584.375 rounds to 
$ 4584.38 pounds <== ur answer
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△DEF is shown below.<br><br>Triangle DEF<br><br>What is m∠DEF?​
S_A_V [24]

Answer:

m∠DEF = 50

Step-by-step explanation:

∠DEG = ∠GEF

3y + 4 = 5y - 10

subtract 4 from both sides

3y = 5y - 14

subtract 5y from both sides

-2y = -14

divide by -2

y = 7

Add 7 into the equations:

3y + 4 + 5y - 10

3(7) + 4 + 5(7) - 10

21 + 4 + 35 - 10

25 + 25

50

4 0
3 years ago
Which of the following rules represents a dilation? A. (x, y) → (x − 3, y + 5) A. , (x, y) → (x − 3, y + 5) , B. (x, y) → (−y, x
murzikaleks [220]

Answer:

35

Step-by-step explanation:

mutilply the 3 by the 9 subtract dez uts

7 0
3 years ago
Earth is approximately 9.3 × 107 miles from the sun. Saturn is approximately 8.87 × 108 miles from the sun. About how much farth
Nastasia [14]

Answer:

Both distances are in the scientific notation:

Earth - Sun = 9.3 * 10^7 miles

Saturn - Sun = 8.87 * 10^8 miles

8.87 * 10^8 - 9.3 * 10^7 =

= 88.7 *10^7 - 9.3 * 10^7 =

= 79.4 * 10^7 = 7.94 * 10 ^8 = 794,000,000 miles

Answer: Saturn is  7.94 * 10^8 miles farther from Sun than Earth is.

Step-by-step explanation:

I hope this helps you :)

-KeairaDickson

7 0
3 years ago
Which graph represents the function f(x)=
zhenek [66]

Step-by-step explanation:

you don't show us the choices.

anyway, the real graph must be similar to the one you are showing, as it goes to - and + infinity for x = 2.

because the denominator "x-2" will be 0 for x = 2.

but the horizontal limits are both y = +3 (and not 0).

because (3x-2)/(x-2) goes more and more to 3/1 the larger (or smaller in the - direction) x gets.

7 0
2 years ago
A circle has the equation 2x²+12x+2y²−16y−150=0.
KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

(x-h)^{2} +(y-k)^{2}=r^{2} (1)

Where (h,k) are the coordinates of the center and r is the radius.

Now, we are given the equation of this circle as follows:

2x^{2}+12x+2y^{2}-16y-150=0 (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

2(x^{2}+6x+y^{2}-8y-75)=0 (3)

Rearranging the equation:

x^{2}+6x+y^{2}-8y=75 (4)

(x^{2}+6x)+(y^{2}-8y)=75 (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of (a\pm b)^{2}=a^{2}\pm+2ab+b^{2}:

<u>For the first parenthesis:</u>

x^{2}+6x+b^{2}

We can rewrite this as:

x^{2}+2(3)x+b^{2}

Hence in this case b=3 and b^{2}=9:

x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}

<u>For the second parenthesis:</u>

y^{2}-8y+b^{2}

We can rewrite this as:

y^{2}-2(4)y+b^{2}

Hence in this case b=-3 and b^{2}=9:

y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}

Then, equation (5) is rewritten as follows:

(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16 (6)

<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>

Rearranging:

(x-3)^{2}+(y-4)^{2}=100 (7)

At this point we have the circle equation in the center radius form (x-h)^{2} +(y-k)^{2}=r^{2}

Hence:

h=-3

k=4

r=\sqrt{100}=10

8 0
3 years ago
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