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grin007 [14]
3 years ago
5

Emma is building a wall around her garden. It has taken 45 minutes,and she is 75% done. What is the total time it will take Emma

to finish building her wall?
Mathematics
2 answers:
Morgarella [4.7K]3 years ago
5 0
Hey there,
It take 45 min to complete 75% of the wall
1% = 45 / 75
      = 0.6
100 % = 0.6 x 100
           = 60 min
It takes her 60 mins or 1 hour to finish building the wall.

Hope this helps :))

~Top♥
kiruha [24]3 years ago
3 0

Answer:

The answer is 60 min.

Step-by-step explanation:

In order to determine the total time, we have to know about direct proportionality.

In math, two variables are said to be in a relation of direct proportionality if one variable increases, the other will increase too and the rate of both is a constant. The value of this constant is called the coefficient of proportionality.

In this case, if emma spends more time in the wall, she will build more wall.

So the constant is:

\frac{time}{percentage}=k\\\frac{45}{75}=k\\0.6=k

Now, applying this constant to a 100%:

T=total time

\frac{T}{100}=k=0.6\\T=100*0.6\\T=60

Finally, the total time is 60 min.

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Helpp, since this question is a bit hard, ill give brainliest and 20 pts.
Morgarella [4.7K]

Step-by-step explanation:

A. When dealing with large numbers, sometimes it's easier to write them in a form of exponents of number ten. The value of the exponent shows how many times we multiply 10 by itself. That means that 10^3 is 10•10•10 or that 10^6 is 10•10•10•10•10•10.

So, when finding how many times on number is greater then the other, we need to divide them. We divide 8x10^6 by 2x10^5. It is done by dividing the numbers and subtracting the exponents; 8/2=4 and 10^6/10^5 is 10^6-5=10^1. So the correct answer is 4x10^1 which is 4x10, and that is 40.

B. Now, we have a total number of coins (2.25x10^5), and diametar of a coin (19mm = 19x10^-6km). Our task is to calculate the distance across which the coiks laid side-by-side would expand. We can find this by multiplying the number of coins with a diametar of single penny, 2.25x10^5•19x10^-6. Multiplying is done by multiplying the numbers (2.25x19=42.75) and adding the exponents (5+(-6)=5-6=-1). So, the distance is 42.75x10^-1km, which equals to 4.275 km. Obviously, this is less then the stated 5 km given in the text, so the reportet's statement is false.

5 0
3 years ago
Solve for y. Do not put any spaces in your y=mx+b answer. 3y=2+9 *
horrorfan [7]

Answer:

y=11/3

Step-by-step explanation:

3y=2+9

Divide both sides by 3.

3y/3 = (2+9)/3

y=2/3+9/3

Combine like terms.

<u>y=11/3</u>

5 0
3 years ago
(6x2 - 2x) + (5x-7)
Black_prince [1.1K]

Answer:

D. 6x2 + 3x - 7

Step-by-step explanation:

7 0
3 years ago
The geometric sequence a i a i ​ a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 ​ =8a, start subscr
frozen [14]

Question:

The geometric sequence ai is defined by the formula: a₁ = 8, aᵢ = aᵢ₋₁(-1.5 ).

Find the sum of the first 20 terms in the sequence. Choose 1 answer:

Answer:

The sun of 20 terms of the progress is -10,637.621536256

Step-by-step explanation:

Given

Geometric Sequence

a₁ = 8

aᵢ = aᵢ₋₁(-1.5 )

First, the common ratio needs to be calculated.

The common ratio is the ratio of a term to its previous term.

In other words,

Ratio = 2nd term ÷ 1st term or 3rd term ÷ 2nd term, ...... Etc.

We can calculate the common ratio from aᵢ = aᵢ₋₁(-1.5 ) by dividing both sides by aᵢ₋₁. This gives

aᵢ / aᵢ₋₁ = aᵢ₋₁(-1.5 ) / aᵢ₋₁

aᵢ / aᵢ₋₁ = -1.5

So, the common ratio, r = -1.5

Now that we've had the common ratio and first term to be -1.5 and 8 respectively, the sum of 20 terms can then be calculated using the sum of n terms formula.

Sₙ = a(1 - rⁿ)/(1 - r)

We're making use of this formula because r is less than 1

Where n = 20

a = first term = 8

r = -1.5

By substituting these values; we get

S₂₀ = 8(1 - (-1.5)²⁰)/(1 - (-1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (3325.25673008

))/(2.5)

S₂₀ = 8(1 - 3325.25673008

)/(2.5)

S₂₀ = 8(-3324.25673008

)/(2.5)

S₂₀ = -10,637.621536256

5 0
3 years ago
Mr. West is standing on a cliff that is 25 1/5meters above the surface of the ocean. He spots a dolphin that is 2 3/5 meters und
zhenek [66]

Answer:

Total distance from Mr. West to dolphin =27\frac{4}{5}\ meters

Step-by-step explanation:

Height of cliff on which Mr. West is standing above the surface of ocean =25 \frac{1}{5} \ meters

Mr. West spot the dolphin under the water at a depth of =  2\frac{3}{5} \ meters

∴ Total distance from Mr. West to dolphin=(25 \frac{1}{5}+2\frac{3}{5})\ meters

Adding mixed numbers

(25 \frac{1}{5}+2\frac{3}{5})

Adding whole numbers first.

=25+2+\frac{1}{5}+\frac{3}{5}\\=27+\frac{1}{5}+\frac{3}{5}

Adding fractions by taking LCD.

=27+\frac{1+3}{5}\\=27+\frac{4}{5}\\=27\frac{4}{5}\ meters

5 0
3 years ago
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