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3 years ago

Manuel thinks the tens digit goes up by 1 in these numbers. Do you agree? Explain. 460,470,480, 490,500,510

Mathematics

1 answer:

laila [671]3 years ago

7 0

Answer:

Manuel is correct, since adding 10 is the same as the tens digit going up by 1.

Step-by-step explanation:

It is important to know the concepts of units, tenths and cents.

For example

1 = 1 unit

10 = 1*10 + 0 = The tens digit is one the unit digit is 0

21 = 2*10 + 1 = The tens digit is two and the unit digit is 1.

120 = 1*100 + 2*10 + 0 = The cents digit is 1, the tens digit is two and the unit digit is 0.

Adding 1 is the same as the unit digit going up by 1.

Adding 10 is the same as the tens digit going up by 1.

Adding 100 is the same as the cents digit going up by 1.

In this problem, we have that:

460,470,480, 490,500,510

Each number is 10 added to the previous, that is, the tens digit going up by 1.

Manuel thinks the tens digit goes up by 1 in these numbers. Do you agree?

Manuel is correct, since adding 10 is the same as the tens digit going up by 1.

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Step-by-step explanation:

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Please help me , I have been try to solve it for 2 hours. thank you very much.

Alexxandr [17]

Answer:

See the three answers with their explanation below

Explanation:

a. To eliminate the fraction from each side you multiply both sides by the least common denominator of the fractions of the two sides.

In this case it is 2×3 = 6

See how you do it:

$6\times \frac{1}{2}(x-4)=6\times \frac{1}{3}x+6\times 2\\ \\ 3(x-4)=2x+12$

b. This word problem would lead to the given equation:

Half the age of Alice 4 years ago equals 2 more than one third of her current age.

Current age: x
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2 more than one third of her current age: $2+\frac{1}{3}x=\frac{1}{3}x+2$

Equality condition:

$\frac{1}{2}(x-4)=\frac{1}{3}x+2$

c. Solution

$\frac{1}{2}(x-4)=\frac{1}{3}x+2\\ \\ 3(x-4)=2x+12\\ \\ 3x-12=2x+12\\ \\ x=24$

Meaning: Alice is currently 24 years old.

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4 years ago

Maria went to the restaurant and waited 90 seconds to place her order. Use the trend line equation to predict how many employees

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Answer:

3 employees

Step-by-step explanation:

The complete question is

The manager of a fast food restaurant collected data to study the relationship between the number of employees working registers and the amount of time customers waited in line to order. He made a scatter plot of the data and created a trend line with the equation y = -70x + 300, where y is the total amount of time waited in seconds and x is the number of employees working registers. Maria went to the restaurant and waited 90 seconds to place her order. Use the trendline equation to predict how many employees were working. Round to the nearest whole number if necessary.

Let

x ---> is the number of employees working registers

y ---> is the total amount of time waited in seconds

we have

$y=-70x+300$

This is the equation of a line in slope intercept form

where

The slope is equal to

$m=-70\ \frac{seconds}{employee}$ ---> is negative because is a decreasing function

The y-intercept is equal to

$b=300\ sec$

For y=90 seconds

substitute in the linear equation and solve for x

$90=-70x+300$

$70x=300-90\\70x=210\\x=3\ employees$

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3 years ago

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The answer is $103.

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Thus, Eileen needs 36.96 gallons of gas. If the cost per gallon of gas is$2.79, using the proportion:
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