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
The -3/7 would be slope because it is also the one with the x
Answer:
Step-by-step explanation:
Objects that float on water have densities less than the density of water; those that do not float on water have densisties greater than the density of water:
Float on water: d < 0.0361 lb/in³ (where d denotes denisity)
Do not float on water: d > 0.0361 lb/in³
Answer:
3
Step-by-step explanation:
Answer:
Mean = 86
Median = 86
Mode = 93
Range = 20
Step-by-step explanation:
Mean is the average of a set of numbers. To find the average, you add all the numbers together and divide the product by how many numbers are in the set so:
93 + 86 + 93 + 85 + 73 = 430
430/5 = 86
Median is the middle of a set of numbers.
First put the numbers in order of smallest to biggest
73, 85, 86, 93, 93.
The middle number is 86 so the median is 86.
A mode or modes are numbers that appear most frequently in a number of sets. They’re can be multiple modes.
The most frequent number is 93 so the mode is 93
Range is the difference of the biggest number and the smallest number. The biggest is 93 and the smallest is 73.
93 - 73 = 20
The range is 20
