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Dahasolnce [82]
3 years ago
9

Write systems of equations from context Lincoln is preparing many gifts for a family holiday party each gift must either be wrap

ped with wrapping paper or prepared in a gift bag. Lincoln can wrap a single gift in 6.5 minutes and he can do a gift bag in 2 minutes Lincoln prepared a total 13 gifts in 57.5 minutes. Write a system of equations that could be used to determine the number of gifts Lincoln wrapped and the number of gift bags he prepared define the variables that you use to write the system.

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

Answer:

  • w + b = 13
  • 6.5w + 2b = 57.5

Step-by-step explanation:

Let w represent the number of gifts wrapped. Let b represent the number of bags prepared.

  w + b = 13 . . . . gift bags and gifts wrapped

  6.5w +2b = 57.5 . . . . total time spent preparing gifts

_____

Lincoln wrapped 7 gifts and bagged 6.

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The linear equation of the initial (red ) incline would be y = __x +__
RideAnS [48]

Answer:

y=\underline {1.5}x+\underline 0

Step-by-step explanation:

From the graph,

The initial red incline is a straight line passing through the origin.

So, a straight line passing through the origin is of the form:

y=mx+0

Where, 'm' is the slope.

Now, the slope of a given as the change in y value to change in x value.

Consider the two end points of the red line (0, 0) and (4, 6).

The slope with two points (x_1,y_1)\ and\ (x_2,y_2) on the line is given as:

m=\frac{(y_2-y_1)}{(x_2-x_1)}

Plug in x_1=0,y_1=0,x_2=4,y_2=6. Therefore, slope is:

m=\frac{6-0}{4-0}\\m=\frac{6}{4}=1.5

Hence, the equation of the initial red incline is:

y=\underline {1.5}x+\underline 0

3 0
3 years ago
(40 POINTS)
Y_Kistochka [10]

Answer:

1.  f(0) =  501170

2.  decreasing

3.  2% decrease

4. 302438

Step-by-step explanation:

In 1995 x=0

f(x) = 501170(0.98)^0

f(0) =  501170

The population is decreasing since we are multiplying by .98 ^x

.98 is less than 1 so it is getting smaller each time.

1 -.98 = .02

It is decreasing by 2 % each year

2020-1995  =25 years

f(25) = 501170(0.98)^25

        =302438.41862

Rounding to the nearest whole number

          302438

7 0
4 years ago
Drag an expression or phrase to each box to complete the proof.
QveST [7]

<4 ≅ <1, 3 <≅ 2                              Corresponding angles postulate

ΔACE ≈ ΔBCD                               Angle angle similarity postulate

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3 0
3 years ago
Read 2 more answers
Solve the compound inequality 6b 6
Zinaida [17]

Answer:

<6 OR b>-3

Step-by-step explanation:

hope this helps

3 0
3 years ago
Can someone help asap
sergij07 [2.7K]

Answer:i can try

Step-by-step explanation:

5 0
3 years ago
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