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3 years ago

Please help fast!! 15 points!! Will give brainliest!!

Mathematics

1 answer:

oee [108]3 years ago

3 0

Answer:

Step-by-step explanation:

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A chemical company makes two brands of antifreeze. The first brand is 70% pure antifreeze, and the second brand is 95% pure anti

Paul [167]

Let a be the amount needed of 70% pure antifreeze, and let b be the amount needed of 95% pure antifreeze.
0.7a + 0.95b = 180 * 0.9 .........(1)
a + b = 180 .............................(2)
b = 180 - a ..............................(3)
Plugging the expression for b in equation (3) into equation (1), we get:
0.7a + 0.95(180 - a) = 162 ......(4)
Solving equation (4) gives the value a = 36, and plugging this value for a into equation (2) we get b = 144.
Amounts needed are therefore 36 gallons of 70% pure antifreeze and 144 gallons of 95% pure antifreeze.

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4 years ago

Sav [38]

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3 years ago

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(-1,3) (3,0) (-1.-2) find perimiter

KATRIN_1 [288]

Answer:

$p$ ≈ $14.5$

Step-by-step explanation:

Find the distance between the three pairs first using the distance formula:

$\sqrt{(x2-x1)^2+(y2-y1)^2}$

Take the first two points, $(-1,3)(3,0)$ and insert the values:

$\sqrt{(3-(-1))^2+(0-3)^2}$

Simplify parentheses (two negatives makes a positive):

$\sqrt{(3+1)^2+(0-3)^2}\\\\ \sqrt{(4)^2+(-3)^2}\\\\\sqrt{16+9}\\ \\\sqrt{25}=5$

The distance between the first two points is 5. Use the nest two points, $(3,0)(-1,-2)$ and insert values:

$\sqrt{(-1-3)^2+(-2-0)^2}$

Simplify parentheses:

$\sqrt{(-4)^2+(-2)^2}\\ \\\sqrt{16+4} \\\\\sqrt{20}=4.5$

The distance between the nest two point is about 4.5. Use the remaining two points, $(-1,-2)(-1,3)$ and insert values:

$\sqrt{(-1-(-1))^2+(3-(-2))^2}$

Simplify parentheses (two negatives makes a positive):

$\sqrt{(-1+1)^2+(3+2)^2}\\\\\sqrt{(0)^2+(5)^2}\\ \\\sqrt{0+25}\\ \\\sqrt{25}=5$

The distance between the last points is 5. Add the distances together to find the perimeter of the triangle:

$5+4.5+5\\10+4.5\\14.5$

The perimeter is about 14.5.

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3 years ago

TIMED HURRY PLEASE!!!!!!!! the first three steps in writing f(x) = 40x + 5x2 in vertex form are shown. Write the function in sta

bija089 [108]

Y=5(x+4)^2-80 is the vertex form

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3 years ago

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PLZ HELP NNOOOOOOOWW!! 15 points!!

motikmotik

The midpoint of the line having the endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_{1}+_x_{2}}{2}, \frac{y_{1}+_y_{2}}{2})$
basically average them

so given that the line has the endpoints of (-3,7) and (9,-2)
x₁=-3
y₁=7
x₂=9
y₂=-2

so the midpoint can be found by doing
$(\frac{-3+9}{2}, \frac{7+(-2)}{2})=$
$(\frac{6}{2}, \frac{7-2}{2})=$
$(3, \frac{5}{2})$

the midpoint is $(3,\frac{5}{2})$

4 0

3 years ago