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inessss [21]
3 years ago
11

Which situation is represented by the inequality?

Mathematics
2 answers:
Temka [501]3 years ago
8 0

Answer:

The answer is D

Step-by-step explanation:

Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $5.00, and each ride costs an additional $1.00. What is r, the maximum number of rides he can go on?

Neko [114]3 years ago
3 0

Answer:

Option D. The maximum number of rides is 11

Step-by-step explanation:

Let

r -----> the number of rides

we have

5.00+1.00r \leq 16.00

Solve for r

1.00r \leq 16.00-5.00

1.00r \leq 11.00

r \leq 11.00

The maximum number of rides is 11

therefore

Tom can spend at most $16.00 at the carnival

The price of admission to the carnival is $5.00

Each ride costs an additional $1.00

The maximum number of rides is 11

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Convert 2671(in base 9), to base 3 without first converting to base 10.​
EleoNora [17]

Since 9 is 3², each digit in base nine takes two digits in base 3.

2₉ = 02₃

6₉ = 20₃

7₉ = 21₃

1₉ = 01₃

Putting it together

2671₉ = 2202101₃

3 0
4 years ago
Make x the subject of the formula y=(5t+5x)
Elan Coil [88]

Answer:

(y-5t)/5=x

Step-by-step explanation:

y=5t+5x

factorize

y=5(t+x)

divide both sides by 5

y/5=5(t+x)/5

y/5=t+x

make x to stand alone

y/5-t=x

take lcm of 5 and 1

y/5-5t/5

y-5t/5=x

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3 years ago
Simplify: (2x2 − 9x + 3) + (−7x2 + 4x − 2)
Leokris [45]
Combine like terms
2x^2 + -7x^2 = -5x^2
-9x + 4x = -5x
3 + -2 = 1
put back together
-5x^2 - 5x +1
4 0
3 years ago
Find the unknown angle in the figure
Alik [6]

Answer:

Angle 125 degree

Step-by-step explanation:

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6 0
3 years ago
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Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + -6 x = -13 Complete the square: x2 – 6x + 9 = –13 + 9 Factor t
ICE Princess25 [194]

Answer:

The roots of the polynomial are;

3 + 2i

and 3-2i

Step-by-step explanation:

Here, we want to solve the given polynomial using the completing the square method

We start by dividing through by 8

This will give;

x^2 - 6x = -13

To complete the square, we simply divide the coefficient of x by 2 and square it

We have this as -6/2 = -3

square it;; = (-3)^2 = 9

Add it to both sides

x^2 - 6x + 9 = -13 + 9

x^2 - 6x + 9 = -4

(x-3)^2 = -4

Find the square root of both sides

x-3 = ±2i

x = 3 + 2i

or x = 3-2i

8 0
3 years ago
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