b = −k + 8
Which is a correct step to find k and b?
Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis. Add the equations to eliminate k. Multiply the equations to eliminate b.
Answer:
Add the equations to eliminate k.
Step-by-step explanation:
When we add the equations we get
next we put into and solve for k:
this way we have found k and b; therefore, adding the equations to eliminate k is a correct step for finding k and b.
Let us now look at other choices we were given.
Write the points where the graphs of the equations intersect the x axis.
These points may be the solutions to each equation, but they are not the solutions to the system of these two equations.
Write the points where the graphs of the equations intersect the y axis.
Same thing goes here: these points may be the solutions to each equation, but they are not the solutions to the system of these two equations.
Multiply the equations to eliminate b.
Multiplying the equations doesn't eliminate b, but rather it complicates the matter by producing a quadratic equation—we don't want to go down that road!
12−n⋅5=52
n÷5+12=52
12−n÷5=52
n⋅5+12=52
The equation 'n⋅5+12=52' correctly models the sentence 'Twelve more than the product of a number and 5 is 52'. This equation states that when a number is multiplied by 5 and 12 is added to the resulting product, the total is 52.
The question provides a phrase which can be expressed as an equation in mathematics. Given the phrase 'Twelve more than the product of a number and 5 is 52', we understand that 'product' refers to multiplication, 'number' is the unknown we are solving for, typically denoted by 'n', and 'twelve more than' means adding 12. Consequently, the mathematical equation that models the sentence is: n⋅5+12=52. This equation implies, the product of a number and 5, to which 12 is added, results in 52.
#SPJ12
The equation that models the sentence is n⋅5+12=52 which has a value of 8.
The correct equation that models the given sentence is n⋅5+12=52.
To solve this equation, we need to isolate the variable n.
We can start by subtracting 12 from both sides of the equation:
n⋅5 = 52 - 12
n⋅5 = 40
Next, we divide both sides of the equation by 5 to solve for n:
n = 40 ÷ 5
n = 8
Therefore, the value of the number is 8.
#SPJ2
Answer:
1080
Step-by-step explanation:
looking at the ratio of 1 : 3 : 6, we can say that the pupils are divided into 1 + 3 + 6 = 10 "parts".
Indian are 1 part, Malay are 3 parts, and Chinese are 6 parts.
So 3x (3 parts of malay) is 360 more than 1x (1 part of Indian). Thus:
3x - 360 = x
2x = 360
x = 180
We know chinese is 6 parts, or 6x, so Chinese would be 6 (180) = 1080
Hence, there are 1080 chinese pupils
Answer:
143
Step-by-step explanation:
The terms 5, 7, 9, 11, 13 form an arithmetic progression with n th term
= + (n - 1)d
where d is the common difference and the first term
d = 13 - 11 = 11 - 9 = 9 - 7 = 7 - 5 = 2 and = 5, hence
= 5 + (69 × 2 ) = 5 + 138 = 143