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Nana76 [90]
3 years ago
8

Simplify these rates: a) 480km in 6 hrs ____________________________________ b) $56 for 7hrs ___________________________________

_ c) 270 passengers in 9 buses ____________________________________ d) 54 degrees in 9 minutes
Mathematics
1 answer:
klio [65]3 years ago
3 0

Answer:

a. 80km/hr

b. 8 dollars an hour

c. 30 passengers on one bus

d. 6 degrees a minute

Step-by-step explanation:

You want to divide these down to the smallest rate possible, so you divide.

480/6=80

80 km/hr

56/7=8

8 dollars and hour

270/9=30

30 passengers in one bus

54/9=6

6 degrees in one minute

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What is the sign of f on the interval -2
TEA [102]

Answer:

f is sometimes positive and sometimes negative.

Step-by-step explanation:

f(x)=(x-3)(x+2)(x+4)(x+4)(x-1)(2x-9)

Take x=-1\in(-2,\frac{9}{2})\ as-2

f(-1)=(-1-3)(-1+2)(-1+4)(-1-1)(-2-9)\\\\=(-4)(1)(3)(-2)(-11)\\\\=-264\\\\f(-1)

Take x=2\in(-2,\frac{9}{2})\ as\ -2

f(2)=(2,-3)(2+2)(2+4)(2-1)(2\times2-9)\\\\=(-1)(4)(6)(1)(-5)\\\\=120\\\\f(2)>0

Hence f(x) for x=-1 and f(x)>0 for x=2

So f is sometimes positive and sometimes negative in the interval.

3 0
3 years ago
Five angles of a hexagon measures 119, 129,104,139 and 95 degrees. What is the measure of the sixth angle?
Kisachek [45]

Answer:

x = 134

Step-by-step explanation:

Given that,

Five angles of a hexagon measures 119, 129,104,139 and 95 degrees.

We know that,

The sum of interior angles of a hexagon must equal 720 degrees.

So,

119+129+104+139 +95+x = 720

Where

x is the sixth angle

So,

586+x=720

x = 720-586

x = 134

So, the sixth angle is equal to 134.

5 0
3 years ago
Y=143.3(5)^2+1823.3(5)+6820
MA_775_DIABLO [31]

As the question is written, the <em>correct answer</em> is:


19519.


Explanation:


Our question states

y = 143.3(5)² + 1823.3(5) + 6820


To evaluate this, we use the order of operations (PEMDAS). There is nothing to be evaluated in parentheses, so P is taken care of.


The E part, exponents, is 5². This is 25, which gives us:

y = 143.3(25) + 1823.3(5) + 6820


Next we have M and D, multiplication and division (in the order they appear). Our multiplication is:

143.3(25) = 3582.5; and

1823.3(5) = 9116.5.


This gives us:

y = 3582.5 + 9116.5 + 6820


Lastly, we add these:

y = 12699 + 6820

y = 19519

6 0
3 years ago
Read 2 more answers
Americans consume about 13,150,000,000 gallons of carbonated drinks each year. Express this number in scientific notation.
ExtremeBDS [4]

It would be 1.315 × 10¹⁰.

8 0
3 years ago
Sara is 5 ft 10inches y’all ? To the nearest centimeter how tall is sara? If 1 in equals 2.54 centimeters
Dahasolnce [82]

1 foot = 12 inches.

5 ft x 12 inches per foot = 60 inches.

60 inches + 10 inches = 70 inches.

Sara was 70 inches tall.

Now convert to centimeters:

70 inches x 2.54 centimeters per inch = 177.8 cm's.

Round to nearest centimeter = 178 cm's.

4 0
3 years ago
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