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AlekseyPX
3 years ago
5

Mary is spending money at the average rate of $5 per day. After 14 days she has $68 left. The amount left depends on the number

of days that have passed. write an equation for the situation
A. Y-68=-5(x-14) B. Y+68=5(x+14) C. Y+68=-5(x-14) D. Y+68=5(x-14)
Mathematics
1 answer:
Radda [10]3 years ago
4 0

Answer:

A. Y-68=-5(x-14)

Step-by-step explanation:

Mary is spending money at the average rate of $5 per day. After 14 days she has $68 left. The amount left depends on the number of days that have passed. write an equation for the situation

We find the equation using the point slope equation of a line. This is given as:

y - y1 = m(x-x1)

The slope intercept form will be

y = -5x + b

since the amount decreases by $5 per day...

Our slope is -5 so m=-5

We have a point (x1,y1) = (14, 68)

Hence, we have:

y-68 = -5(x-14)

Option A is correct

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Use the Pythagorean theorem and the following diagram to help you find the area and perimeter of the following triangle. Please
Mekhanik [1.2K]

Answer:

Perimeter = 30

Area = 30

Step-by-step explanation:

(x+8)^2 -x^2 = 12^2

x^2 +16x +64 - x^2 = 144

16x+64=144

16x = 80

x = 5

Double check:

\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13

Perimeter:

12+5+13=30

Area(\frac{1}{2}bh):

\frac{1}{2} × 12 × 5 = 30

5 0
3 years ago
Read 2 more answers
The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of
emmasim [6.3K]

Answer:

The null hypothesis is: H_{0}: \mu = 100

The alternative hypothesis is: H_{a}: \mu > 100

Step-by-step explanation:

At the null hypothesis, we test if the mean is equal to a certain value.

At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.

This means that the null hypothesis is: H_{0}: \mu = 100

Could it be that the average tuft strength is above 100 lb?

The world above means that the appropriate alternative hypothesis is: H_{a}: \mu > 100

3 0
3 years ago
The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. Th
e-lub [12.9K]

Answer:

95% of monthly food expenditures are between $110 and $190.

Step-by-step explanation:

Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.

To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?

Solution :

At 95% of the data is between two standard deviation to left and right of the mean is given by,

To the left side, \bar{x}-2\sigma

To the right side, \bar{x}+2\sigma

We have given,

The sample mean \bar{x}=\$150

The standard deviation \sigma=\$20

Substitute in the formula,

\bar{x}-2\sigma

=150-2(20)

=150-40

=110

\bar{x}+2\sigma

=150+2(20)

=150+40

=190

Therefore, 95% of monthly food expenditures are between $110 and $190.

6 0
3 years ago
Helpp with this for me pls due tomarrow
Zielflug [23.3K]

Answer:

14/3 - 4 and 2/3

35/8- 4 and 3/8

51/12- 4 and 3/12

22/5- 4 and 2/5

Step-by-step explanation:

8 0
3 years ago
a college loan of 15000 has a 3% annual simple interest rate what is the interest the student will pay after 5 years
inessss [21]

Answer:

Interest = $ 90000

Step-by-step explanation:

Given, Principal= $15000

Rate = 3%

Time = 5 years

Interest = P × R × T/100

Therefore, Interest = 15000 × 3 × 5/100

(dividing 100 by 5 to get 20)

= 15000 × 3 × 20

= 90000

if it helps don't forget to like and mark me down

7 0
3 years ago
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