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Serggg [28]
4 years ago
10

Chet needs to buy 4 work shirts, all costing the same amount. After he uses a $25 gift certificate, he can spend no more than $7

5. Write an inequality to find the possible costs for a shirt. Identify what your variable represents.
Mathematics
1 answer:
mylen [45]4 years ago
8 0
X = cost of shirt.
4X is less than or equal too 100
X is less than or equal too 25.
I hope this helped!
Please give brainliest!
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1044 fans join a club in the first month after the first month nine new members are allowed to join each month how many members
laiz [17]

Answer:

Total number of members in month 34 is 1341 members.

Step-by-step explanation:

We have given,

Number of fans join a club in first month = 1044

And after the first month nine new members are allowed to join each month.

After first month , Let the number of club members in x months will be given as:

Number of members = 1044 + 9x

We need to find number of members in month 34.

So for first month we already had 1044 members, that mean for remaining 33 months we need to calculate members.

i.e total number of members in month 34 = 1044 + (33×9 )     , {Since x = 33 here}  

OR total number of members in month 34 = 1044 + 297  = 1341 members

3 0
3 years ago
For a certain commodity the supply equation is given by S = 2p + 5 At a price of $1, there is a demand for 19 units of the commo
slava [35]

Answer:

The demand equation is: D=-4p+23

Step-by-step explanation:

To get started, we should keep in mind that the market price (p=3) occurs when supply equals demand ,therefore when p=3

S=2(3)+5=11

Thus, when p=3 D=11 and, according to the problem  when p=1 D=19.

We already know two points on the demand curve. Great!

The demand equation is linear, so it has form D=bp+c.

The variable b is the slope of  the demand linear equation . It can be computed through the formula

b=\frac{y2-y1}{x2-x1}.  equation 1

Substituting the two points (3,11) and (1,19) on equation 1.

b=\frac{19-11}{1-3} =\frac{8}{-2}

b=-4

Now we can find the value of  intercept of the demand equation c trough point-slope form y-y1=b(x-x1).

We can use any of the points. Let's take (3,11) and write in point-slope :

y-11=-4(x-3)

y=-4x+11+12

y=-4x+23

Rewrite the linear equation according our variables D and p

D=-4P+23

Finally we found the demand equation !

5 0
4 years ago
(1,-4) x-2y=8<br> 4x-y=8
deff fn [24]

Answer:

False solution; [1⅐, -3 3⁄7]

Step-by-step explanation:

{x - 2y = 8

{4x - y = 8

-¼[4x - y = 8]

{x - 2y = 8

{-x + ¼y = -2 >> New Equation

____________

-1¾y = 6

y = -3 3⁄7 [Plug this back into both equations to get the x-coordinate of 1⅐]; 1⅐ = x

I am joyous to assist you anytime.

3 0
3 years ago
Find the average rate of change of an exponential function f (x) over the interval 1 ≤ x ≤ 3.
Neko [114]

Answer:

Option b. 12

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

The average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

In this problem we have

a=1

b=3

f(a)=f(1)=1  

f(b)=f(3)=25

Substitute

\frac{25-1}{3-1}=12

8 0
4 years ago
Alex’s printer can print 8 photos in 12 minutes.
Gre4nikov [31]

Answer:

120\ minutes

Step-by-step explanation:

step 1

Alex’s printer

we know that

print 8 photos in 12 minutes

so

by proportion

Find  how long will it take the printer to print 120 photos

\frac{12}{8}=\frac{x}{120}\\ \\x=120*12/8\\ \\x=180\ minutes

step 2

Khalil’s printer

we know that

print 24 photos in 1 hour (60 minutes)

so

by proportion

Find  how long will it take the printer to print 120 photos

\frac{60}{24}=\frac{x}{120}\\ \\x=120*60/24\\ \\x=300\ minutes

step 3

Find the difference

300\ minutes-180\ minutes=120\ minutes

7 0
3 years ago
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