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RSB [31]
3 years ago
6

A clothing store advertised a sale of forty percent off all merchandise. How is forty percent written in standard form?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer:

40%

Step-by-step explanation:

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What are the dimensions of a rectangular box with a volume of 50b 3 + 75b2 - 2b - 3?
Inessa [10]

Answer:

\large\boxed{(2b+3)\times(5b-1)\times(5b+1)}

Step-by-step explanation:

The formula of a volume of a rectangular box:

V=lwh

<em>l</em><em> - lenght</em>

<em>w</em><em> - width</em>

<em>h</em><em> - height</em>

V=50b^3+75b^2-2b-3=25b^2(2b+3)-1(2b+3)\\\\=(2b+3)(25b^2-1)=(2b+3)(5^2b^2-1^2)\\\\=(2b+3)\bigg((5b)^2-1^2\bigg)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(2b+3)(5b-1)(5b+1)

Therefore the dinemsions of thisp prism are:

(2b+3)\times(5b-1)\times(5b+1)

5 0
3 years ago
Read 2 more answers
F(t) = t-1<br> g(t)= t^3 + 4t<br> Find (f -g)(t)
Annette [7]

Answer:

Step-by-step explanation:

t - 1 - t^3 - 4t

-t^3 - 3t

5 0
3 years ago
Carlos and Maria drove a total of 217 miles in 4.1 hours. Carlos drove the first part of the trip and averaged 52 miles per hour
VMariaS [17]
M = hours driven by Maria

c = hours driven by Carlos

since we know that Carlos was driving at an average of 52 mph, then in 1 hour he drove 52 miles, in 2 hours he drove 2*52 miles in "c" hours he drove c*52 miles or 52c.

Maria on the other hand is faster and does 54 mph, in 1 hour she does 1 * 54 miles, and on 2 hours she does 2 * 54 miles and in "m" hours she does m * 54 miles or 54m.

now, we know the total amount of miles they both drove is 217, so whatever "m" and "c" are we know that 54m + 52c = 217.

we also know it took 4.1 for the whole trip, so m + c = 4.1.

\bf \begin{cases}&#10;m+c=4.1\implies \boxed{c}=4.1-m\\&#10;54m+52c=217\\&#10;-------------\\&#10;54m+52\left( \boxed{4.1-m} \right)=217&#10;\end{cases}&#10;\\\\\\&#10;54m-52m+213.2=217\implies 2m=3.8&#10;\\\\\\&#10;m=\cfrac{3.8}{2}\implies m=1.9

so Maria drove for 1.9 hours.

How many hours did Carlos drive for?  well, c = 4.1 - m.
4 0
3 years ago
Aicel,Bessy,Cynthia went to the farm to pick guavas. They picked 120 guavas in all. Aicel picked twice as many as Bessy did and
LenaWriter [7]

Answer:

Cynthia = 12 guavas

Bessy = 36 guavas

Aicel = 72 guavas

Step-by-step explanation:

Total guavas = 120

Let

Cynthia = x

Bessy = 3x

Aicel = 2(3x)

= 6x

x + 3x + 6x = 120

10x = 120

x = 120/10

x = 12

Cynthia = x

= 12 guavas

Bessy = 3x

= 3(12)

= 36 guavas

Aicel = 6x

= 6 × 12

= 72 guavas

Total = 74 + 36 + 12

= 120 guavas

7 0
3 years ago
Find the distance between the following points<br> E(-12, 2), F(-9, 6)
pogonyaev

Answer:

5

Step-by-step explanation:

7 0
2 years ago
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