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Montano1993 [528]
3 years ago
9

1. Simplify (4xy^2)^3(xy)^5 . 2. Simplify (2t^–3)^3(0.4r)^2

Mathematics
1 answer:
alexdok [17]3 years ago
8 0
I hope this helps you

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During the peak holiday season, a department store gift wrapper is expected to wrap a small gift box in 4 minutes. Which proport
tangare [24]

Answer:

Option D - \frac{1}{4}=\frac{x}{300}

Step-by-step explanation:

Given : During the peak holiday season, a department store gift wrapper is expected to wrap a small gift box in 4 minutes.

To find : Which proportion could you use to find how many gifts can be wrapped at the same rate in 5 hours?

Solution :

We have given that,

In 4 minutes we wrap 1 box.

Let x be the number of gift wrap in 5 hours.

Convert 5 hours into minutes,

1 hour = 60 minute

5 hour = 5\times 60=300 minute

i.e. In 300 minute we wrap x box.

The proportion defined the same rate is given by,

\frac{1}{4}=\frac{x}{300}

When we solve the proportion,

x=\frac{300}{4}

x=75

Therefore, Option D is correct.

5 0
3 years ago
A train goes past you in 10 seconds and goes past a 100 meter long bridge in 30 seconds. What is the length (in meters) and the
marysya [2.9K]

Answer:

Bridge = 300 m

Speed = 10 m/s

Step-by-step explanation:

If a goes past you in 10 seconds, it means the train has speed of

100 m/ 10 seconds as it is 100 m long

<u>The speed in m/s is:</u>

  • 100 m/ 10 s = 10 m/s

Then it take 3 times of 10 seconds to cross the bridge, so

<u>The length of the bridge is:</u>

  • 3*100 m= 300 m

3 0
3 years ago
Help me plz fot 27 28 and 29 tysm
puteri [66]
27 is Jahmya and $0.54
28 is she should receive $9.38 back
29 is he should receive $1.53 back.
5 0
3 years ago
Given that f(x)=x^2+3x-28f(x)=x
spayn [35]

9514 1404 393

Answer:

  x^2 +4x -21

Step-by-step explanation:

Substitute the given expressions and simplify.

  f(x) + g(x)

  = (x^2 +3x -28) +(x +7)

  = x^2 +(3+1)x +(-28 +7)

  = x^2 +4x -21

6 0
3 years ago
Given four functions, which one will have the smallest y-intercept?
Natalka [10]
F(x) function has a starting value of $6.00 and increases from there.So the y-intercept is 6.

g(x) function shows in the table that when x = 0, y = 6. This is the y-intercept.

h(x) shows on the graph that the y-intercept is  4.

j(x) is an exponential growth function, a * b^x where a is the y-intercept.
y = 10^ x^x has a y-intercept at 10. 

The smallest y-intercept is function h(x).
3 0
4 years ago
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