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FromTheMoon [43]
2 years ago
10

Tommy is ordering concrete for a construction project. The price of concrete is $.02 per pound. Concrete is also taxed at a rate

of $.03 per pound. If Tommy needs one ton of concrete, how much will he pay?
Mathematics
1 answer:
uysha [10]2 years ago
8 0

Answer:

$1000

Step-by-step explanation:

We are given that,

Price of concrete = 0.02 dollars per pound

Tax rate on concrete = 0.03 per pound

Thus, the total cost of the concrete = 0.02 + 0.03 = 0.05 dollars per pound

Since, we know,

1 pound = 0.0005 tons

As, Cost of 1 pound = $0.05

i.e. Cost of 0.0005 tons = $0.05

Then, cost of 1 ton = \frac{0.5}{0.0005} = $1000.

Hence, the cost Tommy needs to pay is $1000.

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Last Saturday, there were 1486 people at the Cineplex. There were about the same number of people in each of the 6 theaters. Bet
grigory [225]
<span>247 and 248 I.e. 247 in two thetheatres and 248 in the other 4. Hence 1486</span>
5 0
2 years ago
A function f(x) has x intercepts of -3 and -5. What is the constant term in the function?
Anon25 [30]

Answer:

The constant term in the function is 5

Step-by-step explanation:

we have

f(x)=x^{2}+8x+b

where

b is the y-intercept or the constant term of the function

Remember that

The x-intercept is the value of x when the value of the function is equal to zero

so

For x=-3 ----> f(x)=0

For x=-5 ----> f(x)=0

substitute any of the intercepts in the function

For x=-3

0=(-3)^{2}+8(-3)+b

0=9-24+b

0=-15+b

b=15

f(x)=x^{2}+8x+15

Verify with the other intercept

For x=-5

0=(-5)^{2}+8(-5)+15

0=25-40+15

0=0 ---> is true

therefore

The constant term in the function is 5

3 0
2 years ago
Consider the function f(x) = 3x2 + 7x + 2. What is the value of the discriminant? –17253173 How many x-intercepts does this func
myrzilka [38]
What is the value of the discriminant?
 For this case, the discriminant will be given by
 b ^ 2 - 4 * a * c
 Where
 b = 7
 a = 3
 c = 2
 substituting
 b ^ 2 - 4 * a * c = (7) ^ 2 - 4 * (3) * (2) = 25
 Therefore the value of the discriminant is 25.
 How many x-intercepts does this function have?
 It has two intercepts with the x axis and can be found by equaling the function to zero. That is to say,
 3x2 + 7x + 2 = 0
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 What are the number of zeros for this function?
 The number of zeros for this function is
 two real number solutions
 Because it is a quadratic function.
7 0
2 years ago
Read 2 more answers
Three years ago Tom was twice as old as Jean, and in two years the sum of their ages will be 28 years. Find their present ages.
lubasha [3.4K]

Answer:

Jean is 9 and Tom is 15.

Step-by-step explanation:

3 years ago, Tom was 12 and Jean was 6, hence Tom was twice as old as Jean.  

Since that was their age 3 years ago, they are currently 15 (Tom) and 9 (Jean).  

Add 2 years to each of these ages, you get 17 and 11.

17 + 11 = 28

3 0
2 years ago
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Suppose 1000 people enter a chess tournament. Use a rooted tree model of the tournament to determine how many games must be play
Vlada [557]

Answer: 999 games

Step-by-step explanation:

There are many ways to illustrate the rooted tree model to calculate the number of games that must be played until only one player is left who has not lost.

We could go about this manually. Though this would be somewhat tedious, I have done it and attached it to this answer. Note that when the number of players is odd, an extra game has to be played to ensure that all entrants at that round of the tournament have played at least one game at that round. Note that there is no limit on the number of games a player can play; the only condition is that a player is eliminated once the player loses.

The sum of the figures in the third column is 999.

We could also use the formula for rooted trees to calculate the number of games that would be played.

i=\frac{l - 1}{m - 1}

where i is the number of "internal nodes," which represents the number of games played for an "<em>m</em>-ary" tree, which is the number of players involved in each game and l is known as "the number of leaves," in this case, the number of players.

The number of players is 1000 and each game involves 2 players. Therefore, the number of games played, i, is given by

i=\frac{l - 1}{m - 1} = i=\frac{1000 - 1}{2 - 1} = \frac{999}{1} =999

7 0
2 years ago
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