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Anarel [89]
3 years ago
6

A rental car costs $35 for the day plus $2 per mile. Amelia can spend no more than $89 to rent a car for a day trip. Write an in

equality to find the possible distance in miles, m, that Amelia can drive without exceeding her budget.
Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer:

89 \leq 35 + 2m

Step-by-step explanation:

You can't spend more than $89 which means you can only spend $89 and less, which is what the \leq means.

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Please help me with this problem..
charle [14.2K]

Answer:

y = 6

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 3 when x = 9, then

k = \frac{y}{x} = \frac{3}{9} = \frac{1}{3}, thus

y = \frac{1}{3} x ← equation of variation

When x = 18, then

y = \frac{1}{3} × 18 = \frac{18}{3} = 6

5 0
3 years ago
2h divided by 15 equals 20
Lynna [10]
<span>(2*h)/15 = 20 // - 20

(2*h)/15-20 = 0

2/15*h-20 = 0 // + 20

2/15*h = 20 // : 2/15

h = 20/2/15

h = 150

h = 150</span>
8 0
3 years ago
5b +20y<br> A. 5(b+4y)<br> B. 5(4y+b)<br> C. 2(b+10y)
enot [183]

Answer:

a once again it is easy the answer is A

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the
bagirrra123 [75]

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in x^3 + 3x^2 + 5, the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, x^3 and 3x^3  are like terms since variable is same, and it is raised to same power 3.

For example 4x^2 and x^3 are not like terms as the variables are same but powers aren't same.

The given polynomials are:

c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10

Their sum is

c(x) + p(x)  = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5  +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

4 0
2 years ago
There are 48 cards in a pack and each card is either red or black.
Anon25 [30]

Answer:

Step-by-step explanation:

Red:black = 1:1

Red cards = x

Black cards =x

x + x = 48

2x = 48

x = 48/2

x = 24

No. of red cards = 24

No of black cards = 24

Now 8 red cards are removed

So, No. of red cards = 24 - 8 =16

Red: Black = 16:24

=\frac{16}{24}=\frac{2}{3}

Red: Black = 2:3

5 0
3 years ago
Read 2 more answers
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