Ask question

Ask question

All categories

3 years ago

8

Eric made 3 batches of cupcakes for the bake sale. He needs at least 120 cupcakes for the bake sale. He also plans on giving 20

cupcakes to his family for a birthday party. How many cupcakes will he need in each batch? Write an inequality to show c, cupcakes.

1 answer:

polet [3.4K]3 years ago

8 0

Answer:

c≥47

Step-by-step explanation:

120+20=140

140/3≈46.667

46.667≈47

Ther can be no less than 47 cupcakes

You might be interested in

Sqaure root of 5 (u-1)(u^5+u^4+u^3+u^2+u+1)

Anna71 [15]

GIVEN:

$5(u - 1)( {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u + 1)$

remember:

$\sqrt{u} = {u}^{ \frac{1}{2} }$

And

${u}^{n} \times {u}^{m} = {u}^{n + m}$

SOLVE:

start by multiplying the factors:

$5( ({u}^{6} + {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u ) - ( {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u + 1))$

simplify by combing like terms. Most terms subtract off, leaving:

$5( {u}^{6} - 1)$

This can be factored, but it is not a perfect square, which is really what we need to take the square root.

$5( {u}^{3} - 1)( {u}^{3} + 1)$

I'm not exactly sure what form they want the answer in...

so taking the square root:

$\sqrt{5( {u}^{6} - 1) } = {(5( {u}^{6} - 1))}^{ \frac{1}{2} }$

so my best answer is:

${5}^{ \frac{1}{2} } \times {( {u}^{6} - 1)}^{ \frac{1}{2} }$
or the more factored form:

${5}^{ \frac{1}{2} } { ({u}^{3} - 1)}^{ \frac{1}{2} } { ({u}^{3} + 1 )}^{ \frac{1}{2} }$

I'm not sure how else to solve it. Taking the square root doesn't work out super well, so I left it in the most simple form I could.

sorry for not coming to a definitive answer!

7 0

3 years ago

The Rectangular Coordinate System is also termed as

hram777 [196]

Answer:

René Descartes

Step-by-step explanation:

René Descartes ( March 31, 1596 – February 11, 1650), also known as Cartesius, was a noted French philosopher, mathematician, and scientist. Dubbed the "Founder of Modern Philosophy" and the " Father of Modern Mathematics," he ranks as one of the most important and influential thinkers of modern times.

8 0

2 years ago

The birth weight of the child is ___ kilograms. The child gains an average of ___ per month.

Andru [333]

Answer:

3.5 kg, 0.5 kg

Step-by-step explanation:

The starting weight is represented by the y intercept, and the slope of the line is 0.5, so that's the average weight gain per month. Hope this helps!

4 0

2 years ago

Read 2 more answers

Maye is ⅔ of Laurel's age plus 12 years. Maye is 28 years old. Which equation can be used to find Laurel's age, a?

nexus9112 [7]

Answer:

your answer is b 2/3a +12=28

8 0

3 years ago

An airplane is flying between two towns at an altitude of 8km. One town is to the west of the plane and the other is to the east

prohojiy [21]

So this can be solve by solving the distance of the plane and the town to the west and also the distance of the plane to the town to the east.
So the town with an angle of depression of 34 degrees
Let x be the distance of the plane and town
Cos 34 = x / 8
x = 8 cos 34
x = 6.63 km
So the town with an angle of depression of 49 degrees
Let y be the distance of the plane and town
Cos 49 = y / 8
y = 8 cos 49
y = 5.25 km
<span>so the distance of the towns is 5.25 + 6.63 = 11.88 km</span>

3 0

3 years ago