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3 years ago

A pack of 10 pencils costs $4.00. Find the unit rate of 1 pencil.

Mathematics

2 answers:

Lena [83]3 years ago

8 0

Each pencil costs $0.40 because
4.00/10=.40

Viefleur [7K]3 years ago

5 0

Answer:

.40

Step-by-step explanation:

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In 2000, the population of Massachusetts

Zepler [3.9K]

Answer:

The population reaches 7 million people in the year 2032.

Step-by-step explanation:

We have that

$f(x) = 6.3*(1.0032)^{x}$

Using this model, find the year when the population reaches 7 million people.

This is x years after 2000, in which x is found when f(x) = 7. So

$f(x) = 6.3*(1.0032)^{x}$

$7 = 6.3*(1.0032)^{x}$

$(1.0032)^{x} = \frac{7}{6.3}$

$(1.0032)^{x} = 1.11$

We have to following logarithm rule

$\log{a^{x}} = x\log{a}$

So we apply log to both sides of the equality

$\log{(1.0032)^{x}} = \log{1.11}$

$x\log{1.0032} = \log{1.11}$

$x = \frac{\log{1.11}}{\log{1.0032}}$

$x = 32.66$

2000 + 32.66 = 2032

The population reaches 7 million people in the year 2032.

3 0

3 years ago

Determine if these functions are even, odd, or neither

baherus [9]

Answer:

First Graph: the function is symmetrical around y axis -> Even

Second Graph: the function is neither

6 0

3 years ago

3x - 5y = -9<br> x + 2y = 8

Rus_ich [418]

Answer: 3x-5y=-9 is simplified to y=3/5x+9/5

x+2y=8 is simplified to y=-1/2x+4

3 0

3 years ago

Read 2 more answers

At the farm, Justin picks 3 bushels of fruits. The bushels weigh 8 1/4 pounds, 6 1/2 pounds, and 6 5/8 pounds. What is the avera

blondinia [14]

ANSWER

$Average \: Weight = 7 \frac{1}{8} \: bushels$

EXPLANATION

To find the average weight per bushel, we add all the three weight and divide by 3.

$Average \: Weight = \frac{8 \frac{1}{4} + 6 \frac{1}{2} + 6 \frac{5}{8} }{3}$

We convert all the mixed numbers to improper fraction to obtain,

$Average \: Weight = \frac{ \frac{33}{4} + \frac{13}{2} + \frac{53}{8} }{3}$

The least common denominator for the fractions in the numerator is 8.

This implies that,

$Average \: Weight = \frac{ \frac{66 + 52 + 53}{8} }{3}$

This simplifies to

$Average \: Weight = \frac{ \frac{171}{8} }{3}$

This gives us,

$Average \: Weight = \frac{171}{24}$

$Average \: Weight = \frac{57}{8}$

$Average \: Weight = 7 \frac{1}{8}$

7 0

4 years ago

Last year a farm produced 6.2 - 10^6soybeans and 7.8. 10^6 onions.

skad [1K]

Answer:

Yessir

Step-by-step explanation:

4 0

3 years ago