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3 years ago

14

How can you write any rate as a unit rate?

2 answers:

Anni [7]3 years ago

6 0

The problem must have two terms, and you must be asked to determine how much of one term exists per unit of the other term. Rewrite the data as a division problem. The first term in the problem—the amount you are trying to calculate per unit—will become the numerator (top number). The second term—the unit—will become the denominator (bottom number). Divide both values by the denominator. To find the unit rate, simply solve the newly written division problem. Doing so will reduce the denominator to "1." Write the solution. You should now have your final answer ready.

yanalaym [24]3 years ago

3 0

Answer:When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.

Step-by-step explanation:

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Tina is saving to buy a notebook computer. She has two options. The first option is to put $200 away initially and save $10 ever

omeli [17]

The <em>correct answers</em> are:

It would take 5 months and she would save $250.

Explanation:

Let m be the number of months.

For the first way of saving, $200 up front and $10 each month, the expression would be

200+10m.

For the second way of saving, $100 up front and $30 each month, the expression would be

100+30m.

Setting them equal gives us the equation

200+10m = 100+30m

Subtract 10m from each side:

200+10m-10m = 100+30m-10m

200 = 100+20m

Subtract 100 from each side:

200-100 = 100+20m-100

100 = 20m

Divide both sides by 20:

100/20 = 20m/20

5 = m

It would take 5 months.

$200 up front and $10 each month for 5 months:

200+10m

200+10(5)

200+50

250

She would save $250.

6 0

2 years ago

Read 2 more answers

−2(x+1/4)+1=5 PLEASE HELP

PilotLPTM [1.2K]

Answer: x=−9/4

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(x+14)+1=5

Step 1: Simplify both sides of the equation.

−2(x+14)+1=5(−2)(x)+(−2)(14)+1=5(Distribute)−2x+

−1

2

+1=5

(−2x)+(

−1

2

+1)=5(Combine Like Terms)

−2x+

1

2

=5

−2x+

1

2

=5

Step 2: Subtract 1/2 from both sides.

−2x+

1

2

−

1

2

=5−

1

2

−2x=

9

2

Step 3: Divide both sides by -2.

−2x

−2

=

9

2

−2

x=

−9

4

7 0

2 years ago

Read 2 more answers

You have 10 marbles in a bag: 3 blue, 2 green, 4 yellow, and 1 purple. If you close your eyes and choose a marble at random, wha

Naily [24]

Answer:

3/10

Step-by-step explanation:there are 10 marbles all together three blue ones

4 0

2 years ago

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Write an equation in slope-intercept form for this line.

sineoko [7]

Answer:

y = $\frac{3}{2}$ x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = $\frac{3}{2}$ , then

y = $\frac{3}{2}$ x + c ← is the partial equation

To find c substitute (- 4, - 7 ) into the partial equation

- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1

y = $\frac{3}{2}$ x - 1 ← equation of line

7 0

2 years ago

What is the solution of log4(2x-6)=2

Flauer [41]

Answer: $x=11$

Step-by-step explanation:

Remembert that, by definition:

$log_b(x)=y$ → $b^y=x$

Then, you can rewrite $log_4(2x-6)=2$ in exponential form:

$4^2=2x-6$

Now you can solve for the variable "x":

Add 6 to both sides of the equation:

$4^2+6=2x-6+6$

$22=2x$

And finally you must divide both sides of the equation by 2, then:

$\frac{22}{2}=\frac{2x}{2}\\\\x=11$

3 0

3 years ago