Answer:
14. m = 7/8
15 x =63
16. y= 21/2
Step-by-step explanation:
14. 7 16
---- = --------
m 2
using cross products
7 * 2 = 16 * m
14 = 16m
divide by 16
14/16 = m
simplifiy
7/8 =m
14. x 14
---- = --------
18 4
using cross products
4 * x = 18 * 14
4x = 252
divide by 4
4x/4 = 252/4
x = 63
15. 30 y
---- = --------
20 7
using cross products
30*7 = 20 y
210 = 20 y
divide by 20
210/20 =y
21/2 = y
Answer:
There are 68 students in the class after these changes.
Step-by-step explanation:
g = number of girls
b = number of boys
Because the ratio of girls to boys is 3:1, initally the equation was
g = 3b
Finally, we have
g-1 girls because one girl dropped the class
b+3 boys because three more boys signed up
Because the new ratio of girls to boys is 5:2, the new equation is
(g - 1)/(b + 3) = 5/2
Cross multiply.
2(g - 1) = 5(b + 3)
2g - 2 = 5b + 15
2g - 5b = 17
Then, substitute g (which is 3b because the first equation was g = 3b)
2(3b) - 5b = 17
b = 17
g = 3b = 3*17 = 51
g = 51
The final number of students in the class = 17 + 51 = 68
Answer: 68
Answer:
x<100
Step-by-step explanation:
The given equation is :
x-19<81
Adding 19 to both sides of the equation.
x-19+19<81+19
x<100
It means the solution of the given equation is less than 100. Hence, the attached figure shows the graph for the given equation.
An expression is defined as a set of numbers, variables, and mathematical operations. The solution of (4 x 3)² ÷ 6 is 24.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The solution of the expression (4 x 3)² ÷ 6 is,
(4 x 3)² ÷ 6
= (12)² ÷ 6
= 144 ÷ 6
= 24
Hence, the solution of (4 x 3)² ÷ 6 is 24.
Learn more about Expression:
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