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vodomira [7]
3 years ago
14

Two students are having a race. Student A runs at a constant rate of 3 feet per second. Student B gets a head start of 8 feet an

d runs at a constant rate of 2 feet per second.
Write an equation for each student to represent their total distance, y, after x seconds.

How far has each student ran after 15 seconds? Explain how you determined your answer.
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0

Answer:

Student A: 45 feet

Student B: 38

I hope this helps!

Step-by-step explanation:

Student A: 3x = y

3(15) = y

= 45 feet

Student B: 8 + (2x) = y

8 + (2 x 15) = y

8 + 30 = y

= 38 feet

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20. Factor the trinomial.
lbvjy [14]

Factors of 40: (1, 40) (2, 20) (4, 10) (5, 8)

---Using these factors will help us find a pair that adds up to -13 and multiplies to equal 40

-5 + -8 = -13

-5 x -8 = 40

(v - 8)(v - 5)

The trinomial can be factored into the following expression (v - 8)(v - 5).

Hope this helps!

6 0
3 years ago
Donna guessed there were 400 jellybeans in a jar. There were really 480 jellybeans. What was her percent of error?
miss Akunina [59]

Answer:

≈83.33%

Step-by-step explanation:

400/480 = 5/6

56 * 100 =  ≈83.33%

4 0
3 years ago
Rewrite the expression using the distributive property and a common factor.
Anestetic [448]

Answer:

  • x(27 +24)  or  3x(9 +8)
  • 0.5(n +5)  or  2.5(n/5 +1)

Step-by-step explanation:

The distributive property of multiplication over addition tells us that the product of a value and a sum will be the same as the sum of products of the value and the sum's addends. This property can be used to add or remove parentheses from an arithmetic expression.

  a(b +c) = ab +ac . . . . expression of the distributive property

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When applying the distributive property to a sum, the first step is to look for a factor common to the terms of the sum. That factor need not be the greatest common factor, though it is often useful if it is.

Below, we have written each expression using two different common factors.

<h3>a)</h3>

  27x +24x = x(27 +24) = 3x(9 +8)

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<h3>b)</h3>

  0.5n +2.5 = 0.5(n +5) = 2.5(n/5 +1)

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<em>Additional comment</em>

Finding a common factor can make use of knowledge of multiplication tables, rules of exponents, and identities involving various functions used in algebraic expressions. It is sometimes useful to list the prime factors of each of the terms as an aid to finding a common one. Where fractions are involved, it is sometimes helpful to express them all using a common denominator.

The Euclidean Algorithm can also be useful for finding common factors.

3 0
3 years ago
what is -2x-2=-3? i need the answer and the work by tomorrow morning, thank you. (negative 2 x minus 2 = negative 3)
tensa zangetsu [6.8K]

Answer: x=-3

X equals negative 3

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
Use the given values to make a table of solutions.
bearhunter [10]

Answer:

Step-by-step explanation:

y = 2x

when x = 1

y = 2(1).....y = 2........so when x = 1, y = 2

when x = 2

y = 2(2)....y = 4 ......so when x = 2, y = 4

when x = 3

y = 2(3)....y = 6.......when x = 3, y = 6

when x = 4

y = 2(4).....y = 8.....when x = 4, y = 8

============================

y = 4x - 1

when x = -4

y = 4(-4) - 1.....y = -17.....so when x = -4, y = -17

when x= -3

y = 4(-3)- 1..... y = -13....so when x = -3, y = -13

when x = -2

y = 4(-2) - 1.....y = -9.....so when x = -2, y = -9

when x = -1

y = 4(-1) - 1....y = -5.....so when x = -1, y = -5

you can make the tables from this info...

your basically just subbing in ur value of x into the equation to find ur value of y

3 0
4 years ago
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