<span>Use a proportion:
x/(5 1/2) = 50/4
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x = (11/2)(50/4)
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x = 550/8
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x = $68.75</span>
Answer:
The larger number is -6, the smaller number is -15
Step-by-step explanation:
We have two numbers, a and b.
We know that one number is larger than another by 9.
Then we can write:
a = b + 9
then a is larger than b by 9 units.
If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:
(a + 10) + 3*b = -41
So we got two equations:
a = b + 9
(a + 10) + 3*b = -41
This is a system of equations.
One way to solve this is first isolate one variable in one of the two equations:
But we can see that the variable "a" is already isolated in the first equation, so we have:
a = b + 9
now we can replace that in the other equation:
(a + 10) + 3*b = -41
(b + 9) + 10 + 3*b = -41
now we can solve this for b.
9 + b + 10 + 3b = -41
(9 + 10) + (3b + b) = -41
19 + 4b = -41
4b = -41 -19 = -60
b = -60/4 = -15
b = -15
then:
a = b + 9
a = -15 + 9 = -6
a = -6
Answer:
There are 123,410 ways
Step-by-step explanation:
The number of ways or combinations in which we can select k elements from a group of n elements is given by:
In this case, we can replace n by 43 and k by 4, because we are going to select 4 light bulbs from a batch of 43 light bulbs.
So, the number of combinations is calculated as:
It means that there 123,410 ways to select 4 light bulbs from a batch of 43 lights bulbs to be tested for defects
Answer:
Slope = 0
Step-by-step explanation:
Equation: y = 5
Since the graph would show a horizontal line (passing through 5) the slope would be zero
Answer:you multiply the decimal by the number behind the decimal
Step-by-step explanation:
6.00
6.00x100
6
