All categories

3 years ago

Write a system of equations to describe the situation below, solve using substitution, and fill

Mathematics

1 answer:

Lynna [10]3 years ago

5 0

Answer:

The cost must be $32 since that is the only cost possible for the 1st deal

Step-by-step explanation:

Let C represent the total cost of each deal

Let T be the number of trips down the water slide

C = 32 for the 1st deal since the cost is the same regardless of how much she rides

C = 18 + T for the 2nd deal

To find when the two costs are equal set them equal to each other and solve for T

32 = 18 + T

T = 14 trips

The cost must be $32 since that is the only cost possible for the 1st deal

You might be interested in

Find the equation of a line through (-9, 2) perpendicular to y=3x-12

salantis [7]

9514 1404 393

Answer:

y = -1/3x -1

Step-by-step explanation:

The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The given line's slope is the coefficient of x: 3. So, the perpendicular line's slope will be ...

m = -1/3

Only one answer choice has that value as the coefficient of x:

y = -1/3x -1

6 0

4 years ago

The sum of x and 6.5 is 11.9. Find<br> he value of x.

pashok25 [27]

Answer:

5.4

Step-by-step explanation:

Sum = 11.9

One decimal = 6/5

x = 11.9 - 6.5

= 5.4

Therefore x is 5.4 :)

8 0

3 years ago

To help plan its nursing staff schedule, a large hospital uses simple exponential smoothing to forecast the daily number of hosp

Morgarella [4.7K]

Answer:386

Step-by-step explanation:

We have given

Smoothing parameter $\left ( \alpha \right )=0.56$

Forecasted demand $\left ( F_t\right )=385$

Actual demand $\left ( D_t\right )=386$

And Forecast is given by

$F_{t+1}=\alpha D_t+\left ( 1-\alpha \right )F_t$

$F_{t+1}=0.56\cdot 386+\left ( 1-0.56\right )385=385.56\approx 386$

$F_{t+2}=0.56\cdot 386+\left ( 1-0.56\right )385.56=385.806\approx 386$

$F_{t+3}=0.56\cdot 386+\left ( 1-0.56\right )385.806=385.914\approx 386$

$F_{t+4}=0.56\cdot 386+\left ( 1-0.56\right )385.914=385.962\approx 386$

3 0

3 years ago

8. Solve this system of equations

Leya [2.2K]

Answer:

A) x = − 1, y = 2, z = 3

Step-by-step explanation:

4x − 2y + 3z = 1

x + 3y − 4z = −7

3x + y +2z = 5

Lets eliminate x by multiplying the second equation by -4

4x − 2y + 3z = 1

-4x - 12y + 16z = 28

-----------------------------

-14y +19z = 29

Lets eliminate x by multiplying the second equation by -3

-3x + -9y +12z = 21

3x + y +2z = 5

---------------------------

-8y +14z =26

We now have 2 equations and 2 unknowns

-14y +19z = 29

-8y +14z = 26 Divide this by 2 = -4y +7z = 13

Multiplying the first equation by 4 and the second by -14

-56y +76z =116

56y -98z = -182

----------------------------

-22z =-66

Divide each side by -22

-22z/-22 = -66/-22

z=3

Now we need to find y

-14y +19z = 29

-14y +19(3) =29

-14y+ 57 = 29

-14y =29-57

-14y =-28

y =2

Now we need to find x

x + 3y − 4z = −7

x + 3(2) -4(3) =-7

x+6 -12 =-7

x-6 = -7

x = -1

3 0

4 years ago

Read 2 more answers

I need this answer as fast as i can get it and you have to choose Yes or No for each one so just go down in a line using Shift +

Elanso [62]

Answer:

$\displaystyle \frac{8}{18} = \frac{4}{9}\ ,\ \displaystyle \frac{12}{27} = \frac{4}{9}$

Step-by-step explanation:

<u>Equivalent Fractions</u>

Two fractions are equivalent if they represent the same rational number, regardless of their expression. For example, the fraction 2/5 is equivalent to 10/25 since they both represent the number 0.4

To find if a given fraction is equivalent to another given fraction, we can simplify or amplify it until an equivalence is found or not. We can also simply perform the division and compare the results.

We must find out if the four choices are equivalent to the fraction 4/9. Let's start with the first one

$\displaystyle \frac{20}{36} =\frac{5}{9}$