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3 years ago

An energy bar company manufactures peanut butter and chocolate bars.

Mathematics

1 answer:

Ivenika [448]3 years ago

3 0

Answer:

sold 120 chocolate bars

sold 140 peanut butter bars

Step-by-step explanation:

x = peanut butter bars

y = chocolate bars

x + y = 260, total lbs

0.25x + 0.30y = 71, money

solve double variable equation

multiply -4 on both sides for 2nd equation

-x + -1.2y = -284

add both equations together

-0.2y = -24

y = 120

x = 260 - 120

x = 140

sold 120 chocolate bars

sold 140 peanut butter bars

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The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm

klemol [59]

Answer:

$x^2-10x+18=0$

a = -10 and b = 18.

Step-by-step explanation:

Let w represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

$20=2(x + w)$

Let's put w in terms of x. Divide both sides by two:

$10=x+w$

And solve for w:

$w=10-x$

So, the rectangle measures x by (10 - x) cm.

According to the Pythagorean Theorem:

$a^2+b^2=c^2$

a and b are the legs and c is the hypotenuse.

Substitute x for a, w for b, and 8 for c:

$x^2+w^2=8^2$

Simplify and substitute:

$x^2+(10-x)^2=64$

Square:

$x^2+(100-20x+x^2)=64$

Isolate the equation. So:

$2x^2-20x+36=0$

Since the leading coefficient is one, divide both sides by two:

$x^2-10x+18=0$

Therefore, a = -10 and b = 18.

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3 years ago

X² - 36= x² - y²= 100 - a²= c² - 9/49=

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Answer:

Step-by-step explanation:

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3 years ago

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AVprozaik [17]

104/-120

=-13/15

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2 years ago

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3 years ago

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Answer:

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Step-by-step explanation:

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$(x-h)^2+(y-k)^2=r^2$

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The center of the circle is (1, -4).

And the radius is 3.

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$(x-(1))^2+(y-(-4))^2=(3)^2$

Simplify. Thus, our equation is:

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