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vodka [1.7K]
3 years ago
9

Donnovan earned 99 points on his science project. If his grade was a 90%, how many points were possible?

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0

Answer:

Total points were 110.

Step-by-step explanation:

90/100*x=99

9/10*x=99

=x=99*10/9

=x=11*10

=110

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3 years ago
David did not notice the multiplication sign between two three-digit numbers and wrote one six-digit number, which is equal to s
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1) We can get that number hit and trial method.

It is said that "two three-digit numbers and wrote one six-digit number, which is equal to seven times their product".

Let us check number 143.

If we write 143 two times without any sign in between , we get 143143 ( a six digit number).

But if we multiply 143 × 143 , we get 20449.

7 times of 20449 equals 143143.

<h3>Therefore, the required three digit number is 143.</h3>

2) Let us assume required prime numbers are a, b and c.

Product of a, b and c= abc.

Sum of a, b and c = a+b+c.

"Their product is five times greater than their sum."

Therefore,

abc = 5(a+b+c)  ----------------------equation (1)

Now, let us take first prime numbers 2 and second 5.

Plugging a=2 and b=5.

2×5×c = 5(2+5+c).

10c = 5(7+c)

10c = 35 +5c.

Subtracting 5c from both sides, we get

10c-5c = 35 +5c-5c.

5c = 35.

Dividing both sides by 5, we get

c=7.

Therefore, first "cool" triple is 2,5,7.

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Plugging a=2 and b=7 in equation (1), we get

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4 0
3 years ago
What is G if B = A × (1+G)T and B = 3,455, A = 1,969, and T = 8? Answer as a rate in decimal format so that 12.34% would be ente
zubka84 [21]

Answer:

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Step-by-step explanation:

The expression given is:

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This expression has the format of a compounded interest at a rate G for a time T. If B = 3,455, A = 1,969, and T = 8, the value of the rate G is determined by:

3,455=1,969*(1+G)^8\\G = \sqrt[8]{\frac{3,455}{1,969}}-1\\G=0.0728

The rate G is 0.0728.

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3 years ago
A bank offers a 6% annual interest rate for a savings account. Marcus puts $8,000 into an account to save for college. How much
GREYUIT [131]
Equation:
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Use the quadratic formula to find:

x

=

1

±

√

85

5

Explanation:

5

x

2

−

10

x

−

12

is of the form  

a

x

2

+

b

x

+

c

with  

a

=

5

,  

b

=

−

10

and  

c

=

−

12

This has discriminant  

Δ

given by the formula:

Δ

=

b

2

−

4

a

c

=

(

−

10

)

2

−

(

4

×

5

×

−

12

)

=

100

+

240

=

340

=

2

2

⋅

85

This is positive, but not a perfect square, so the quadratic equation has a pair of irrational roots, given by the quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

=

−

b

±

√

Δ

2

a

=

10

±

√

340

10

=

10

±

2

√

85

10

=

1

±

√

85

5

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