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anygoal [31]
3 years ago
12

Solve for x a:b , cross multiplying, thank you!

Mathematics
1 answer:
ycow [4]3 years ago
8 0
Similar triangles, so 24/32=33/32+x. cross multiply to find that 32*33=24(x+32). this gives you 1056=24x+768. subtract 768 from both sides to get 288 = 24x. divide both sides by 24 to get x=12
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Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law
NARA [144]

Answer:

Slope of this line is given by:

<em>Aaron’s rate for mowing lawns is 0.5 acres per hour</em>

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

x_1=3, y_1=1.5\\x_2=5, y_2=2.5

Change in x coordinate = x_2-x_1=5-3 = 2

i.e. total time taken is 2 hours.

Change in y coordinate = y_2-y_1=2.5-1.5 = 1

i.e. total land mowed taken is 1 acre.

In other words, <em>it takes 2 hours for Aaron to mow 1 acre of land.</em>

So, "option 1)  It takes Aaron about 1 hour to mow 2 acres." is incorrect.

<u>Rate of mowing</u> lawn is the <em>land mowed by Aaron in 1 hour</em>.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = \frac{1}{2} acre i.e. 0.5 acre

Also, slope of a line is given as:

m = \dfrac{y_2-y_1}{x_2-x_1}

Here y_2 - y_1 = 1

x_2 - x_1 = 2

As per formula:

m = \dfrac{1}{2} = 0.5

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

6 0
3 years ago
Read 2 more answers
A freight carrier charges $0.80 for the first ounce plus an additional $0.25 for every ounce (or part of an ounce) over the firs
Jobisdone [24]

Answer:

$1.80

Step-by-step explanation:

5 ounces

1st ounce = .80¢ plus 25¢ for every other ounce. You have 4 ounces left. 25¢ times 4. = $1.00

$1.00

+0.80

_____

$1.80

3 0
3 years ago
The school cafeteria sells two types of wraps vegetarian and chicken the vegetarian wrap costs $1.00 and the chicken wrap costs
IRINA_888 [86]

Answer:

35

Step-by-step explanation:

Let's make a system of equations for the vegetarian and chicken wraps; one for the total cost of them and one for the total amount sold.

Vegetarian wraps will be represented by variable v and chicken wraps will be represented by the variable c.

  • v + 3.40c = 266.20
  • v + c = 103

Subtract these equations.

  • 2.40c = 163.20

Divide both sides by 2.40.

  • c = 68

Substitute this value for c into the second equation.

  • v + (68) = 103

Subtract 68 from both sides.

  • v = 35  

The number of vegetarian wraps sold amounted to 35 in total.

3 0
3 years ago
Read 2 more answers
If a given data point is (1,4) and the line of best fit is y = 1.5x + 3.25, what's the residual value?
Svetlanka [38]

Answer:

The residual value is -0.75

Step-by-step explanation:

we know that  

The residual value is the observed value minus the predicted value.

RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE]

where

Predicted value.--> the predicted value given the current regression equation

Observed value. --> The observed value for the dependent variable.

in this problem

we have the point (1,4)

so

The observed value is 4

<em>Find the predicted value  for x=1 </em>

y =1.5(1)+3.25=4.75

predicted value is 4.75

so

RESIDUAL VALUE=(4-4.75)=-0.75

4 0
3 years ago
Simple interest $1600.00 at 6% for 180 days
ikadub [295]

Answer:

Interest = $47.34

Step-by-step explanation:

Formula:-

Simple interest I = PNR/100

P - Principle amount  

N - number of years

R - Rate of interest

It is given that

P = $ 1600

R = 6%

Number of days = 180 days

<u>To find the simple interest for 1 year(365 days) </u>

I = PNR/100

= (1600 * 1 * 6)/100 = $96

<u>To find the interest for 180 days </u>

For 365 day I = $96

For 180 days I = (180/365) * 96

I  = $47.34

7 0
3 years ago
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