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Law Incorporation [45]
3 years ago
5

Which value of b will make the system y=2x+2 and y=2.5x+b intersect at the point (2,6)

Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0
B=1

y=2.5x+1 will cause them to intersect
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how much would $100 invested at 8% interest compounded annually be worth after 15 years? Round your answer to the nearest cent.
svet-max [94.6K]
To calculate problems abound about compounding interest use the equation <span>A = P (1 + r/n)^<span>(nt), where A is the future price, P is the principal amount, r is the interest rate, n is the number of times the interest is compounded per year and t for the total years. To solve, A = 100 (1 + 0.08/1)^(1 x 15) = 317.22.</span></span>
5 0
2 years ago
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What is the quotient of
S_A_V [24]
The quotient is (x-2).
6 0
3 years ago
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Harry is one third as old as his father. If his father is x 12 years old, how old is Harry? StartFraction x over 3 EndFraction 4
Mama L [17]

The age of the Harry in the terms of variable <em>x, </em>as the age of his father is (x+4) is represent with following equation.

\sqrt{3}x+4

<h3>How to write algebraic expression? </h3>

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Harry is one third as old as his father and his father is x+12 years old.To find the age of Harry, we need to convert the given statement into the algebraic expression.

Suppose the age of the Harry is <em>a</em> years and the age of his father is<em> b</em> years. Now Harry is one third as old as his father, thus

a=\dfrac{1}{3}b

Let the above equation is equation one.

As the father of Harry is x+12 years old. Thus put the value of age of his father in the equation one as,

a=\dfrac{1}{3}(x+12)\\a=\sqrt{3}x+4

The age of the Harry in the terms of variable <em>x, </em>as the age of his father is (x+4) is represent with following equation.

\sqrt{3}x+4\sqrt{3}x+4

Learn more about the algebraic expression here;

brainly.com/question/2164351

7 0
2 years ago
A new machine makes three times as many toys in one hour as the old machine did it both machines make a total of 248 toys in one
ioda

Answer:

I am assuming you meant that the old machine made 248 toys in one hour instead of both if that is the case then the answer would be 744.

Steph-by-step explanation:

The new machine makes three times as many as the old machine so 248 times 3 = 744 toys in one hour

3 0
3 years ago
Sammy's Sandwich Shop has a mean delivery time of 25 minutes with a standard deviation of 2 minutes. Determine the z-score for t
Jlenok [28]

Answer:the z score is - 1

Step-by-step explanation:

Assuming a normal distribution for the delivery time of sandwiches by Sammy's Sandwich Shop. We would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = delivery times

u = mean delivery time

s = standard deviation

From the information given,

u = 25 minutes

s = 2 minutes

We want to determine the z-score for the number of sandwiches delivered in less than 23 minutes. It becomes

z = (23 - 25)/2 = - 1

7 0
3 years ago
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