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2 years ago

Which statement is true about the mean and median of the numbers of red cubes in the bags?

Mathematics

1 answer:

andrew11 [14]2 years ago

5 0

Answer:

The mean number of red cubes is more than the median number of red cubes.

Step-by-step explanation:

Assuming this is the "Ms. Monroe" question.

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7. All of the following are perfect square trinomials EXCEPT one. Which is it?

wolverine [178]

Answer:

All answers EXCEPT answer C. are perfect square trinomials.

Step-by-step explanation:

A perfect square trinomial is polynomial that satisfies the following condition:

$(a+b)^{2} = a^{2}+2\cdot a \cdot b + b^{2}$ , $\forall\,a,b\in\mathbb{R}$

Let prove if each option observe this:

a) $4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}$

1) $4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}$ Given

2) $(2\cdot x)^{2}+ 2\cdot (2\cdot x)\cdot (3\cdot y)+(3\cdot y)^{2}$ Definition of power/Distributive, associative and commutative properties.

3) $a = 2\cdot x$ , $b = 3\cdot y$ Definition of perfect square trinomial/Result.

b) $9\cdot a^{2}-36\cdot a + 36$

1) $9\cdot a^{2}-36\cdot a + 36$ Given.

2) $(3\cdot a)^{2}-2\cdot (3\cdot a)\cdot 6 + 6^{2}$ Definition of power/Distributive, associative and commutative properties.

3) $a = 3\cdot a$ , $b = 6$ Definition of perfect square trinomial/Result.

c) $x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}$

1) $x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}$ Given

2) $x\cdot y\cdot (1-4\cdot x+4\cdot x)$ Distributive property.

3) $x\cdot y \cdot 1$ Existence of the additive inverse/Modulative property.

4) $x\cdot y$ Modulative property/Result.

d) $a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}$

1) $a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}$ Given

2) $(a\cdot b)^{2}+2\cdot (a\cdot b)\cdot (2\cdot a^{2})+(2\cdot a^{2})$ Definition of power/Distributive, associative and commutative properties.

3) $a = a\cdot b$ , $b = 2\cdot a^{2}$ Definition of perfect square trinomial.

All answers EXCEPT answer C. are perfect square trinomials.

8 0

2 years ago

Jenna offers regular haircuts for $25 and haircuts plus coloring for $42.This weekend had a total of 24 clients and Jenna earned

shepuryov [24]

Answer:
Jenna did 16 regular haircuts
Jenna did 8 haircuts with coloring

Explanation:
Assume that the number of regular haircuts is x and the number of haircuts plus coloring is y

We are given that:
1- Jenna did a total of 24 clients, this means that:
x + y = 24
This can be rewritten as:
x = 24 - y ...............> equation I

2- regular haircuts cost $25, haircuts plus coloring cost $42 and she earned a total of $736. This means that:
25x + 42y = 736 ..........> equation II

Substitute with equation I in equation II and solve for y as follows:
25x + 42y = 736
25(24-y) + 42y = 736
600 - 25y + 42y = 736
17y = 136
y = 8

Substitute with y in equation I to get x as follows:
x = 24 - y
x = 24 - 8
x = 16

Based on the above:
Jenna did 16 regular haircuts
Jenna did 8 haircuts with coloring

Hope this helps :)

5 0

2 years ago

At a particular restaurant, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion ring

crimeas [40]

Answer:

3x + 6y

x = sliders

y = onion rings

Step-by-step explanation:

2:1 ratio of onion rings to sliders, add them 200+70+70 = 340,

then 1020/340 = 3, then input into an equation remembering the ratio of onion rings to sliders

7 0

2 years ago

Shopping for a freezer, Manuit finally settled on one with a purchase price of $850. The annual cost of operating the freezer is

MatroZZZ [7]

Answer:

In 12 months

Step-by-step explanation:

Let a = year when average the average cost of owning a freezer would be less than $117

($850 + $40a) / a < $117

$850 + $40a < $117a

collecting like terms

$850 < $77a

a = 11.04 months

3 0

2 years ago

As part of a company incentive, each sales person that sells over \$40{,}000$40,000dollar sign, 40, comma, 000 in merchandise th

worty [1.4K]

Answer:

$58,600

Step-by-step explanation:

Data provided in the question:

Commission on Sales upto and including $40,000 = 5%

Commission on Sales above $40,000 = 10%

Total commission = $3,860

Now,

For sales of $40,000

maximum commission = 5% of $40,000

= $2,000

Since the commission received is greater than $2,000

Therefore,

The value of s is greater than $40,000

Thus

Amount qualifying for 10% commission = s - $40,000

therefore,

Total commission = $2,000 + 10% of (s - $40,000)

$3,860 = $2,000 + 0.10 × (s - $40,000)

$1,860 = 0.10 × (s - $40,000)

s - $40,000 = $18,600

s = $18,600 + $40,000

s = $58,600

4 0

2 years ago

Read 2 more answers