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BartSMP [9]
3 years ago
10

What was the original number if after 40% it became 420

Mathematics
2 answers:
Liula [17]3 years ago
8 0

Answer:

588 should be the answer :)

Jobisdone [24]3 years ago
5 0

Answer:

300

Step-by-step explanation:

Solve for x.

x+(2/5*x)=420

x=300

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Mrs.Flores’ rectangular garden has a length of 20 meters and width of 15 meters. Her neighbor, Mr.Sosa, has a similar garden in
natima [27]

180 m

Step-by-step explanation:

Information given:

  • length of Mrs. Flores' garden= 20 m
  • width of Mrs. Flores' garden = 15 m
  • Scale factor = 3

Since scale factor is 3, to get measurements of sides Mr. Sosa's garden, sides of Mrs. Flores's have to be multiplied by 3. Hence,

  • length of Mr. Sosa's garden= 3×20= 60 m
  • width of Mr. Sosa's garden= 3×15= 45 m

 Diagonal of a rectangle = √length²+width²

Let Diagonal = D,

D= √60²+45²

=√3600+2025

=√5625

=75 m

If Mr. Sosa cut his garden diagonally,

perimeter= length+width+diagonal

=60+45+75=180 m

7 0
3 years ago
Harrison has $9.30 in his coin collection all in pennies and dimes the number of dimes is three times the number of pennies how
Vsevolod [243]

Answer:

Number of Pennies = 30

Number of Dimes = 90

Step-by-step explanation:

Let the number of pennies be p and number of dimes be d

We can write 2 equations and use substitution method to solve.

<u>Total value of all the coins is 9.30:</u>

We can write:

0.01p + 0.1d = 9.30

Note: value of penny is 0.01 and dime is 0.1, in dollars

<u>Number of dimes is 3 times number of pennies:</u>

We can write:

d = 3p

Now putting 2nd equation in first and solving for p:

0.01p + 0.1(3p) = 9.30

0.01p + 0.3p = 9.30

0.31 p = 9.30

p = 9.30 /0.31

p = 30

Now we know d = 3p, so d = 3 (30) = 90

Hence

Number of Pennies = 30

Number of Dimes = 90

5 0
3 years ago
Holly is taking out a loan in the amount of $10,000. Her choices for the loan are a 4-year loan at 4% simple interest and a 6-ye
notsponge [240]

Answer:

The difference in the amount of interest she would have to pay for the two loans is $1,400

Step-by-step explanation:

The amount of loan Holly is taking out, P = $10,000

The choices available for the loan are;

1) Loan duration, T₁ = 4-year

Interest rate, R₁ = 4%

2) Loan duration, T₂ = 6-year

Interest rate, R₂ = 5%

For the first choice, we have;

The simple interest, I, given by the formula;

I_1 = \dfrac{P \times  R_1 \times T_1 }{100} = \dfrac{10,000 \times  4 \times 4 }{100} = \$ 1,600

For the second choice, we have;

The simple interest, I, given by the formula;

I_2 = \dfrac{P \times  R_2 \times T_2 }{100} = \dfrac{10,000 \times  5 \times 6 }{100} = \$ 3,000

The difference, D, in the amount of interest she would have to pay for the two loans is therefore;

D = I₂ - I₁ = $3,000 - $1,600 = $1,400

The difference in the amount of interest she would have to pay for the two loans = D = $1,400.

7 0
3 years ago
Read 2 more answers
What is the point slope equation of a line with slope -5 that contains the point (6,3)
ehidna [41]

Step-by-step explanation:

Given

Slope (m) = -5

Point

(x1 , y1) = ( 6 , 3)

So the equation is

y - y1 = m ( x - x1)

y - 3 = -5 ( x - 6)

y - 3 = -5x +30

5x + y = 30 + 3

5x + y = 33

5x + y - 33= 0

Which is the required equation.

Hope it will help you :)

3 0
3 years ago
PLEASE!!! ASAP!!! WILL GIVE BRANLIEST!!! SHOW &amp; EXPLAIN!!
pashok25 [27]

Answer:

365 messages

Step-by-step explanation:

x = # text messages)

16.5 = 10 + .10(x - 300)

6.5 = .10x - 30

36.5 = .10x

x = 365

6 0
3 years ago
Read 2 more answers
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