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Lilit [14]
2 years ago
12

Masha is making a scale diagram of the front face of an aquarium. The face is shaped like a rectangle.

Mathematics
2 answers:
vlada-n [284]2 years ago
5 0

Answer:   28 centi

Step-by-step explanation:

Marat540 [252]2 years ago
4 0
Scale:
1 cm : 6 inches

---------------------------------
Length of the aquarium:
---------------------------------
5 feet = 5 x 12 = 60 inches
60 ÷ 6 = 10 
The length will be 10 cm on the scale drawing.

---------------------------------
Width of the aquarium:
---------------------------------
2 feet = 2 x 12 = 24 inches
24 ÷ 6 = 4 

The width will be 4 cm on the scale drawing.

---------------------------------
Find Perimeter:
---------------------------------
Perimeter = 2 (length + width)
Perimeter = 2( 10 + 4 )
Perimeter = 28 cm

--------------------------------------------------------------------------------------------------
Answer:  The perimeter of the scale drawing of the front face is 28 cm.--------------------------------------------------------------------------------------------------

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michael wittry has been investing inhis roth IRA retirement account for 20 years. Two years ago his account was worth $215,658.
Over [174]
Let's say

a = 215,658

ok... so.. he first lost 1/3 of that

\bf \textit{\underline{lost} }\frac{1}{3}a\qquad  \qquad  a-\cfrac{1}{3}a\implies a-\cfrac{a}{3}\implies \cfrac{3a-a}{3}\implies \cfrac{2a}{3}
\\\\\\
\textit{then he \underline{gained} }\frac{1}{2}\textit{ of }\frac{2a}{3}\qquad \qquad \cfrac{2a}{3}+\cfrac{\frac{2a}{3}}{2}\implies \cfrac{\frac{2a}{3}}{\frac{2}{1}}
\\\\\\
\cfrac{2a}{3}+\cfrac{2a}{3}\cdot \cfrac{1}{2}\implies \cfrac{2a}{3}+\cfrac{2a}{6}\implies \cfrac{4a+2a}{6}
\\\\\\
\cfrac{6a}{6}\implies \boxed{a}\implies 215,658


so, his nickname might just be even steven, because, he ended up with the same original amount after the 1/2 bump.
4 0
2 years ago
Margo deposited $100 into a savings account earning 4.5% simple annual interest. At the end of each year, she adds $100 to her a
nadezda [96]

Answer:

                    principal     interest              total money in account

                                                                         at the end of year

Year one       $100             $4.5                              $104.5

year two        $200          $ 9 +$4.5                         $ 213.5

year three      $300          $ 9 +$4.5 + $13.5           $ 327

Step-by-step explanation:

Simple interest for any principal is given by

I = p* r* t/100

I = interest rate accrued on principle amount

p is the amount deposited

r is the rate of interest

t is the time period of saving

_______________________________________________

For year one

p = $100

r = 4.5%

t=1

I = 100*4.5*1/100 = 4.5

_______________________________________________

For year two $100 more is added to already existing $100 in account.

p = 100 +100 = $200

r = 4.5%

t=1

I = 200*4.5*1/100 = 9

_______________________________________________

For year two $100 more is added to already existing $200 in account after two years.

p = 100 +100 +100 = $300

r = 4.5%

t=1

I = 300*4.5*1/100 = 13.5

_______________________________________________

There fore total  money in Margo account is

$300 saving deposited by her

$4.5 + $9 + $13.5 = $27 (interest accrued in three time)

Formulating the results in tabular form

                     principal     interest    total money in account

                                                            at the end of year

Year one       100               4.5                      104.5

year two        200           9 +4.5                     213.5

year three      300           9 +4.5 + 13.5           327

7 0
2 years ago
If a debt of $480 is reduced by 20% find the new debt
Marina86 [1]
10% = 480$ / 10
= 48$
20% = 48$ * 2
= 96$

480$ - 96$ = 384$
3 0
2 years ago
Which expression is equivalent to 10x2y + 25x2? 5x2(2y + 5) 5x2y(5 + 20y) 10xy(x + 15y) 10x2(y + 25)
olya-2409 [2.1K]
The answer would be A. 5x2(2y+5)
5 0
2 years ago
Read 2 more answers
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?
scoundrel [369]

we have

f(x) = 15x^{11} -6x^{8} + x^{3} - 4x + 3

we know that

<u>The Rational Root Theorem</u> states that when a root 'x' is written as a fraction in lowest terms

x=\frac{p}{q}

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

So

in this problem

the constant term is equal to 3

and the first monomial is equal to 15x^{11} -----> coefficient is 15

So

possible values of p are 1, and\ 3

possible values of q are 1, 3, 5, and\ 15

therefore

<u>the answer is</u>

The all potential rational roots of f(x) are

(+/-)\frac{1}{15},(+/-)\frac{1}{5},(+/-)\frac{1}{3},(+/-)\frac{3}{5},(+/-)1,(+/-)3


3 0
2 years ago
Read 2 more answers
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