Answer:
(- 10, 45 )
Step-by-step explanation:
Since the dilatation is centred at the origin, then multiply each of the coordinates by the scale factor, that is
(- 2, 9 ) → (- 2 × 5, 9 × 5 ) → (- 10, 45 )
The prime factors that the numbers 24 and 36 have in common are found out to be; 2 × 2 × 3
<h3>How to get prime factors? </h3>
A prime factor of a number is simply factor of that number that is a prime number. This means that any of the prime numbers that can be multiplied to give the original number.
Now, we have;
Prime factors of 36; 2 × 2 × 3 × 3
Prime factors of 24; 2 × 2 × 2 × 3
The prime factors that they have in common will be; 2 × 2 × 3
Read more about Prime factors at; brainly.com/question/1081523
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They will have the same amount of money after 7 weeks.
We first set these equal to each other:
36+4x=x²+15
We want to gather all of the variables on one side. Subtract 4x from both sides:
36+4x-4x=x²+15-4x
36=x²-4x+15
We want the equation to be equal to 0 to solve it, so subtract 36 from both sides:
36-36=x²-4x+15-36
0=x²-4x-21
We can factor this expression. We want factors of -21 that sum to -4; -7(3)=-21 and -7+3=-4:
0=(x-7)(x+3)
Using the zero product property, we know that x-7=0 or x+3=0; this means x=7 or x=-3. Since a negative number of weeks makes no sense, the answer is 7 weeks.
Answer:
Alonzo was billed for 111 minutes.
Step-by-step explanation:
In this situation, lets let x = minutes.
0.08x+6=14.88
Subtract the 6 from both sides of the equation.
0.08=8.88
x=8.88÷0.08=111
Answer:
15 3/4 pounds
Step-by-step explanation:
4.5*3.5=15.75
