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maria [59]
3 years ago
6

A factory worker packed 12 boxes at a constant rate, took a 30-minute break, and then continued packing the boxes at twice the r

ate before the break. The worker then spent `1/2` an hour cleaning the work area. Which of the following represents the domain for this situation?
A. 4.5≤t≤24
B. 0≤t≤4.5
C. 0
D. 0≤b≤24
Mathematics
1 answer:
Daniel [21]3 years ago
7 0

Answer:

A - 4.5<t<24

Step-by-step explanation:

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Elena-2011 [213]
4 + 3[ - 4( - 4) + 1]
4 + 3(( - 4)(- 4) + 1)
4 + 3(16 + 1)
4 + (3)(17)
4 + 51
Answer: 55




Hope that helps!!!
7 0
3 years ago
(-0.5x-0.4)-8(0.75x-0.6)​
SashulF [63]

Answer: -6.5x+4.4

Step-by-step explanation:

7 0
3 years ago
Kamila has a rectangular lawn that measures 80 by 150 feet. She wants to lay gravel made from colored rock in a border, 6 feet w
TEA [102]
Pls. see attachment.

8 0
3 years ago
Read 2 more answers
I need help asap someone please help me i dont understand this question so can someone help me
eduard

Answer:

we conclude that:

\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}=\frac{1}{2p^3-p^2}

Step-by-step explanation:

Given the expression

\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}

=\frac{2p}{4p^2-1}\times \frac{6p+3}{6p^3}

=\frac{2p}{4p^2-1}\times \frac{2p+1}{2p^3}

\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}

=\frac{2p\left(2p+1\right)}{\left(4p^2-1\right)\times \:2p^3}

cancel the common factor: 2

=\frac{p\left(2p+1\right)}{\left(4p^2-1\right)p^3}

cancel the common factor: p

=\frac{2p+1}{p^2\left(4p^2-1\right)}

=\frac{2p+1}{p^2\left(2p+1\right)\left(2p-1\right)}

cancel the common factor: 2p+1

=\frac{1}{p^2\left(2p-1\right)}

Expanding

=\frac{1}{2p^3-p^2}

Thus, we conclude that:

\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}=\frac{1}{2p^3-p^2}

7 0
3 years ago
It is given that y is directly proportional to x. When x = 3, y = 18. (a) Find the equation connecting x and y. (b) Hence, find
guapka [62]

Answer:

see explanation

Step-by-step explanation:

(a)

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when x = 3, y = 18 , then

18 = 3k ( divide both sides by 3 )

6 = k

y = 6x ← equation of proportion

(b)

(i)

when x = 12 , then

y = 6 × 12 = 72

(ii)

when y = 42

42 = 6x ( divide both sides by 6 )

7 = x

8 0
3 years ago
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