Answer:
B
Step-by-step explanation:
5(2x+4)=30
10x+20=30
10x=10
x=1
Answer:
the rate is 40 min.
Step-by-step explanation:
50 times 1 is 50 and 2000 divided by 50 is 40 which gives you 40 min.
The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10
<h3>What is an
equation? </h3>
An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the number of months.
For Caroline's hair:
Length = (1/5)x + 7
For Trinity's hair:
Length = (1/10)x + 10
For Caroline's hair to be at least as long as Trinity's hair, hence:
(1/5)x + 7 ≥ (1/10)x + 10
The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10
Find out more on equation at: brainly.com/question/2972832
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Answer:
Number of 12$ Shares? 25
Number of 14$ Shares? 57
Step-by-step explanation:
Let x = number of $12 shares.
Let y = number of $14 shares.
"Ivan has $1098 worth of $12 and $14 stock shares."
12x + 14y = 1098
The number of $14 shares is seven more than twice the number of $12 shares.
y = 2x + 7
We have a system of equations.
12x + 14y = 1098
y = 2x + 7
We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.
12x + 14(2x + 7) = 1098
12x + 28x + 98 = 1098
40x = 1000
x = 25
There are 25 $12 shares.
y = 2x + 7 = 2(25) + 7 = 57
There are 57 $14 shares.
Check:
25 × $12 + 57 × $1`4 = $300 + $798 = $1098
The total value is correct, so the answer is correct.