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ELEN [110]
2 years ago
15

A number is decreased by 40% to 525. what is the original amount?​

Mathematics
2 answers:
Natali5045456 [20]2 years ago
7 0

Answer:

The number is 875

Step-by-step explanation:

Step One:

Convert 40% to a decimal --> .40

Step Two

525 = n - .40n

(525 is equal to a number minus forty percent of a number )

Step Three

Isolate the variable by dividing each side by factors that don't contain the variable.

N = 875

zhenek [66]2 years ago
6 0

Answer:

875

Step-by-step explanation:

lets assume the original amount X

the new amount = X - ( X × 40% )

525 = (60 × X) ÷ 100

X = ( 525 × 100 ) ÷ 60

<u>X = 875</u>

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LiRa [457]

Ques 8:

The Volume(V) in cubic feet of an aquarium id modeled by the polynomial function V(x)= x^{3}+2x^{2}-13x+10

a) We have to explain that why x =4 is not a possible rational zero.

By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.

For this , we will substitute the value of x in the given function.

V(x)=x^{3}+2x^{2}-13x+10

V(4)=4^{3}+2(4)^{2}-13(4)+10

V(4)=4^{3}+2(4)^{2}-13(4)+10

V(4)=54 which is not equal to zero.

Therefore, x=4 is not a possible rational zero.

(b) To show that (x-1) is a factor of V(x).

By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.

Let (x-1)=0

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Substituting x=1 in the given function.

V(1)=1^{3}+2(1)^{2}-13(1)+10

V(1)= -10+10

V(1) = 0

Therefore, (x-1) is a factor of V(x).

Now we will factorize the given function.

Dividing the given function by (x-1).

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So, factored form is = (x-1)(x^{2}+3x-10)

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(c) So, the dimensions are 1,2 and -5.

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3 years ago
A pattern has 5 blue triangles to every 80 yellow triangles. What is the ratio of blue triangles to all triangles in simpligied
GrogVix [38]

Answer:

1/16

Step-by-step explanation:

Both 5 and 80 can be divided by 5.

This reduces the ratio of 5/80 to 1/16.

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Find the area of the kite.<br> 13<br> 12<br> 8<br> 主<br> A=<br> lin²
rewona [7]

Answer:

100㏑²

Step-by-step explanation;

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that is, √13² - 12² =√25 = 5

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Answer:

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2 years ago
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Doss [256]
C(5,4)(.40)^4(1-.40)^1=5(.4)^4(.6)^1=0.0768

That's 7.68% = 7.7% (rounded)

Note: C(5, 4) is the number of combinations of 5 things taken 4 at a time. You may have seen this written as _5C_4

In general, C(n,r)=\frac{n!}{r!(n-r)!}
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