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RideAnS [48]
4 years ago
6

During the year, James had saved $500 for his summer vacation. By the second week, he has $375 left and by the seventh week, he

had $100 left. What was the rate of change from week 2 to week 7?
Mathematics
1 answer:
Lady bird [3.3K]4 years ago
6 0

Answer:

Amount used by the end of the second week= $500-$375

                                                                              =$125

Amount used by the end of the seventh week= $375-$100

                                                                             =$275

Total amount spent= $275+$125

                                 =$400

Rate of change= $ 500- $400

                          =$ 100

Step-by-step explanation: Hope this helps

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David's gasoline station offers 4 cents off per gallon if the customer pays in cash and does not use a credit card. Past evidenc
shusha [124]

Answer:

0.6535

Step-by-step explanation:

Given that during a one-hour period twenty-five customers buy gasoline at this station.

Let X be the no of persons out of these 25 who pay by cash.

X has two outcomes and each trial is independent of other.

Hence X is binomial (n=25, p=0.40)

Required probability

= P(X\geq 10)\\=P(10)+P(11)+...+P(25)\\=\Sigma_{10}^{25}  25Cr (0.4)^r (1-0.4)^{25-r}

=0.6535

7 0
3 years ago
In ΔJKL, \overline{JL} JL is extended through point L to point M, m∠JKL = (2x+14)^{\circ}(2x+14) ∘ , m∠LJK = (3x+15)^{\circ}(3x+
Sergio039 [100]

Answer:

The value of x =10°

Step-by-step explanation:

Check attachment for solution.

Triangle theorem: the sum of the opposite interior angle is equal to the exterior angle.

<JKL+<LJK=<KLM

2x+14+3x+15=7x+9

Collect like terms

2x+3x-7x=9-14-15

-2x=-20

Divide both side by -2

x=10°

6 0
3 years ago
A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
cupoosta [38]

Answer:

\displaystyle y=-\frac{1}{2}x+1

Step-by-step explanation:

The equation of any line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Two points are given: (-6,4) and (-2,2). Calculating the slope:

\displaystyle m=\frac{2-4}{-2+6}=\frac{-2}{4}=-\frac{1}{2}

The equation of the line is, so far:

\displaystyle y=-\frac{1}{2}x+b

To calculate the value of b, we use any of the given points, for example (-6,4):

\displaystyle 4=-\frac{1}{2}(-6)+b

\displaystyle 4=3+b

Solving:

b = 1

The equation of the line is:

\boxed{\displaystyle y=-\frac{1}{2}x+1}

We can see none of the choices is correct.

8 0
3 years ago
I need help please no links!
Tamiku [17]

Answer:

It will be 8 meters long.

l =  \sqrt{ {17}^{2}   -  {15}^{2} }  \\ l =  \sqrt{64}  \\ l = 8 \: m

7 0
3 years ago
Tanya runs 8 km in 60 minutes at this rate how long would it take her to run 2 kilometers
Marysya12 [62]

The Answer is 15 minutes.

6 0
3 years ago
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