All categories

3 years ago

Which expression represents the algebraic phrase “nine times a number plus thirteen”?

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

Answer:

9y + 13

Step-by-step explanation:

a number would best represent as a variable (doesn't matter which letter)

plus thirteen would represent an addition to 13

You might be interested in

If you rent a car for one day and drive 225 miles, the cost is $80. If you drive 350 miles in one day, the cost is $105. Let cm)

kolezko [41]

Answer:

a) $(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)$

And we want to find a function:

$C (m) = b_1 m + b_0$

We can find the slope with this formula:

$b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2$

And then we can use the point $(x_1 = 225, y_1 = 80)$ to find the intercept $b_o$ and we got:

$80 = 0.2*225 +b_0$

$b_0 = 80-45 = 35$

So then the linear function is given by:

$C(m) = 0.2 m + 35$

b) For this case we have that m = 475 so we can replace into the function to find the cost like this:

$C(m =475) = 0.2*475 + 35 = 130$

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

$155 = 0.2m + 35$

$155-35= 120 = 0.2 m$

$m= \frac{120}{0.2}= 600 mi$

Step-by-step explanation:

For this case we can define the following notation:

m= represent the miles travelled

C= represent the cost

Part a

For this case we have the following two points given:

$(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)$

And we want to find a function:

$C (m) = b_1 m + b_0$

We can find the slope with this formula:

$b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2$

And then we can use the point $(x_1 = 225, y_1 = 80)$ to find the intercept $b_o$ and we got:

$80 = 0.2*225 +b_0$

$b_0 = 80-45 = 35$

So then the linear function is given by:

$C(m) = 0.2 m + 35$

Part b

For this case we have that m = 475 so we can replace into the function to find the cost like this:

$C(m =475) = 0.2*475 + 35 = 130$

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

$155 = 0.2m + 35$

$155-35= 120 = 0.2 m$

$m= \frac{120}{0.2}= 600 mi$

6 0

3 years ago

Nearest ten thousand 384400

olga_2 [115]

Answer:

The nearest ten thousand is 80,000.

8 0

3 years ago

Step by step show my work to 1650 divided by 55

EleoNora [17]

----------55 | 1650

 30
 ---------55 | 1650
 165
--------
00

 1650 ÷ 55 = 30..

Hope it helps !!!!

3 0

3 years ago

You want to buy new kitchen appliances 2 years from now, and you plan to save $8,200 per year, beginning one year from today. yo

bulgar [2K]

Even though the money is required 2 years from now, the first deposit is made only a year from now, therefore in the bank for only one year.
The second deposit will be in the bank the same day it will be taken out, so no interest whatsoever.

Thus future value
= 8200(1.062)+8200
=$16908.40
will be available assuming compounding annually.

4 0

3 years ago

A/9=-4: what does a=

umka2103 [35]

Answer:

-36 I believe

Step-by-step explanation:

a/9=-4

you need a negative to be in that equation for 4 to be negative. multiply 9 on both sides, 9*-4 is -36

a=-36

8 0

3 years ago