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Gnesinka [82]
2 years ago
12

A car enters a turnpike 22 miles north of the town. The car travels north at an average speed of 60 miles per hour. How far is t

he car from the town after 4 hours? Explain how you can use linear function to solve this problem. Then, solve the problem
Mathematics
1 answer:
QveST [7]2 years ago
8 0

Answer:

y = 60x + 22

262 miles

Step-by-step explanation:

Given that the car enters the turnpike at 22 miles, his initial starting point, or initial value (b) is 22.  You also know the rate at which the car travels is 60 miles per hour, which is the slope (m).  Using the slope-intercept formula of a linear function: y = mx + b, you can plug in your initial value and rate:

y = 60x + 22, where y = the total miles and x = the number of hours traveled

After 4 hours:

y = 60(4) + 22 = 240 + 22 = 262 miles

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The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.
MariettaO [177]
PART A:

Scientific notation is given by A×10ⁿ where A is any number in a unit and 'n' is an integer.

0.000025 = 2.5×10⁻⁵

PART B:

Diameter of grain of sand ÷ Diameter of human body average cell
(2×10⁻⁴) ÷ (1×10⁻⁵) 
(2÷1) × (10⁻⁴÷10⁻⁵)
2 × (10⁻⁴ ⁻ ⁻⁵) = 2 × 10⁽⁻⁴⁺⁵⁾ = 2 × 10¹ = 20 times bigger

PART C:

The diameter of human body's average cell in nanometer
1 × 10⁻⁵ metre = 1 × 10⁻⁵ × 10⁹ = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ nanometer

PART D:

Smallest bacteria = 300 nanometer
300 nm = 300 ÷ 10⁹ = (3 × 10²) ÷ 10⁹ = 3 × (10²⁻⁹) = 3 × 10⁻⁷ meter

PART E:

Laws of exponents that are applied in scientific notation is 

xᵇ × xᵃ = x⁽ᵇ⁺ᵃ⁾
xᵇ ÷ xᵃ = x⁽ᵇ⁻ᵃ⁾

7 0
2 years ago
¿cual es el 5% de 320?
Bezzdna [24]

Answer:

16

Step-by-step explanation:

5 × 320  ÷ 100 = 16

5 × 320 = 1,600

1,600 ÷ 100 = 16

16 es tu repuesta

4 0
2 years ago
Read 2 more answers
I need help with this question!!
amm1812
Sorry what question? I don’t see anything so I can’t help.
5 0
2 years ago
A total of 484 tickets we’re sold for the school play. They Either adult or student tickets. There were 66 Fewer student tickets
choli [55]

Answer:

x + 61 = 411

Step-by-step explanation:

Let x = the number of adult tickets sold

Let x + 61 = the number of student tickets sold

x + x + 61 = 761

2x = 700

x = 350

4 0
3 years ago
Subtract. –21 – (–13)<br> a. –34<br> b. –8<br> c. 8<br> d. 34
Angelina_Jolie [31]
-21 - (-13)

-21 + 13

= -8

The answer B)

6 0
3 years ago
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