1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Agata [3.3K]
3 years ago
12

Mr. and mrs.storey drive 3200 miles in all during their vacation. mr.storey drove 3 times as many miles as mrs.storey how many m

iles did mr.storey drive how many miles did mrs.storey drive
Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0
This can be solve by establishing equations.
let x be the miles mrs. storey drove
y be the miles mr storey drovee
 
the first equation is
y = 3x

second equation
x + y = 3200
then substitute equation 1

x + 3x = 3200
4x = 3200
x = 800 miles mrs storey drove
y = 3x = 2400 miles mr storey drove
You might be interested in
On reading at An artic research station showed that the temperature was -35 C. What is this temperature in degrees Fahrenheit?
Travka [436]

the answer is -22 F

5 0
3 years ago
The number of pizzas ordered on friday evenings between 5:30 and 6:30 at a pizza delivery location for the last 10 weeks is show
Ainat [17]
For a smoothing constant of 0.2

Time period – 1 2 3 4 5 6 7 8 9 10

Actual value – 46 55 39 42 63 54 55 61 52

Forecast – 58 55.6 55.48 52.18 50.15 52.72 52.97 53.38 54.90

Forecast error - -12 -.6 -16.48 – 10.12 12.85 1.28 2.03 7.62 -2.9
The mean square error is 84.12

The mean forecast for period 11 is 54.38
For a smoothing constant of 0.8

Time period – 1 2 3 4 5 6 7 8 9 10

Actual value – 46 55 39 42 63 54 55 61 52

Forecast – 58 48.40 53.68 41.94 41.99 58.80 54.96 54.99 59.80

Forecast error - -12 6.60 -14.68 0.06 21.01 -4.80 0.04 6.01 -7.80The mean square error is 107.17

The mean forecast for period 11 is 53.56


Based on the MSE, smoothing constant of .2 offers a better model since the mean forecast is much better compared to the 53.56 of the smoothing constant of 0.8.
7 0
3 years ago
Please answer all three questions Pleaseeeeee tysmm <3
oee [108]

Answer: 2 3/4 > 2.68 is correct (only)

Step-by-step explanation: 2 3/4 = 2.75, and 2.75 is greater than 2.68

The rest are incorrect. 7.895 * 10^2 (100) = 789.5, and 5.43 * 10^3 (1000) = 5430. So 789.5 > 5430 is false.

Sqrt(63) = 7.93, and 7.93 > 8.11 is false.

Absolute values ( | | ) mean that no matter if it is negative or positive, it will become positive (unless the negative sign is outside the absolute value). 1.5 > 3.2 is false, and even without the absolute value, -1.5 is still less than 3.2

6 0
2 years ago
A credit card company charges 18.6% percent per year interest. Compute the effective annual rate if they compound, (a) annualy,
Darina [25.2K]

Answer:

a) Effective annual rate: 18.6%

b) Effective annual rate: 20.27%

c) Effective annual rate: 20.43%

d) Effective annual rate: 20.44%

Step-by-step explanation:

The effective annual interest rate, if it is not compounded continuously, is given by the formula

I=C(1+\frac{r}{n})^{nt}-C

where

<em>C = Amount of the credit granted </em>

<em>r = nominal interest per year </em>

<em>n = compounding frequency </em>

<em>t = the length of time the interest is applied. In this case, 1 year. </em>

In the special case the interest rate is compounded continuously, the interest is given by

I=Ce^{rt}-C

(a)  Annually

I=C(1+\frac{0.186}{1})-C=C(1.186)-C=C(1.186-1)=C(0.186)

The effective annual rate is 18.6%

(b) Monthly

<em>There are 12 months in a year </em>

I=C(1+\frac{0.186}{12})^{12}-C=C(1.2027)-C=C(0.2027)

The effective annual rate is 20.27%

(c) Daily

<em>There are 365 days in a year </em>

I=C(1+\frac{0.186}{365})^{365}-C=C(1.2043)-C=C(0.2043)

The effective annual rate is 20.43%

(d)  Continuously

I=Ce^{0.186}-C=C(1.2044)-C=C(0.2044)

The effective annual rate is 20.44%

3 0
3 years ago
Explain why please i need help for my math class
Sidana [21]

Answer:

\frac{1}{81}

Step-by-step explanation:

\frac{1}{3} × \frac{1}{3} × \frac{1}{3} × \frac{1}{3}

1 × 1 × 1 × 1 = 1

3 × 3 × 3 × 3 = 81

\frac{1}{81}

7 0
3 years ago
Other questions:
  • -2&lt;× and x&lt;7<br><img src="https://tex.z-dn.net/?f=%20-%202%20%3C%20x" id="TexFormula1" title=" - 2 &lt; x" alt=" - 2 &lt;
    15·1 answer
  • I have another math question and another Brainliest for a math genius
    10·2 answers
  • Explain why the following statement are equivalent 4(x+y)=4x+4y
    5·2 answers
  • Is 9515 divisible by 11
    12·1 answer
  • I need help with this problem
    15·1 answer
  • When y=3. Which expression is equivalent to 5y-7y
    14·2 answers
  • Maximizing revenue. Edwards University wants to determine what price to charge for tickets to football games. At a price of 518
    6·1 answer
  • Six lines are drawn in the coordinate plane below.
    9·1 answer
  • Ash's family is on vacation. their car is traveling at a constant of 60 miles per hour.
    10·1 answer
  • Can someone help find the area and perimeter of this??​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!