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3 years ago

If two lemons cost 15 cents, how many can be bought for 60 cents?

Mathematics

2 answers:

KiRa [710]3 years ago

6 0

Cost of 1 lemon = 15/2 = 7.5 cents

Cost of 60 lemons = 7.5 * 60 = 450 cents or $4 50

klio [65]3 years ago

6 0

4 can be bought for 60 cents

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The equation of circle having a diameter with endpoints (-2, 1) and (6, 7) is

densk [106]

Answer:

$(x-2)^{2}+(y-4)^{2}=25$

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

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

$A(-2,1)\\B(6,7)$

substitute the values

$d=\sqrt{(7-1)^{2}+(6+2)^{2}}$

$d=\sqrt{(6)^{2}+(8)^{2}}$

$d=\sqrt{100}$

$d=10\ units$

The radius is half the diameter

$r=10/2=5\ units$

step 2

Find the center of the circle

the center of the circle is the midpoint between the endpoints of the diameter

The center is

$(\frac{-2+6}{2},\frac{1+7}{2})$

$(2,4)$

step 3

Find the equation of the circle

The equation of the circle is

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

substitute the values

$(x-2)^{2}+(y-4)^{2}=5^{2}$

$(x-2)^{2}+(y-4)^{2}=25$

8 0

3 years ago

What two numbers have a difference of 5 and a product of 3.36

iris [78.8K]

X-y=5
xy=3.36
add y to both sides on first
x=5+y
sub that in other eqation
(5+y)y=3.36
expand
y^2+5y=3.36
minus 3.36 both sides
y^2+5y-3.36=0
use quadratic formula

for
ay^2+by+c=0
$y= \frac{-b+/- \sqrt{b^2-4ac} }{2a}$
for 1y^2+5y-3.36
$y= \frac{-5+/- \sqrt{5^2-4(1)(-3.36)} }{2(1)}$
$y= \frac{-5+/- \sqrt{25+13.44} }{2}$
$y= \frac{-5+/- \sqrt{38.44} }{2}$
$y= \frac{-5+/- 6.2}{2}$
y=-2.5+/-3.1
y=5.6 or 0.6
sub back

x=y+5
so
x=10.6 or 5.6

the numbers are either 10.6 and 5.6 or 0.6 and 5.6
wait,but 10.6 and 5.6 don't multiply to get 3.36 so that is an extrainiesous answer

answer is 0.6 and 5.6

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3 years ago

a store has a display case with cherry, peach and grape fruit chews. there are 160 fruit chews in the display case. given that 2

lisabon 2012 [21]

25% + 40% +?% = 100%
65% + ?% = 100%
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There are 56 grape fruit chews in the display case.

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3 years ago

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Natali5045456 [20]

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4 years ago

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Drupady [299]

Answer:

Step-by-step explanation:

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3 years ago

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