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vodomira [7]
3 years ago
7

This equation shows how the time required to ring up a customer is related to the number of items being purchased. t = 4p + 20 T

he variable p represents the number of items being purchased, and the variable t represents the time required to ring up the customer. If it takes 44 seconds to ring up a customer, how many items are being purchased?
Mathematics
1 answer:
konstantin123 [22]3 years ago
4 0

Answer:

6 items are being purchased

Step-by-step explanation:

Given that  variable p represents the number of items being purchased, and the variable t represents the time required to ring up the customer, If it takes 44 seconds to ring up a customer then the number of items being purchased may be computed by substituting the value of t into the given equation

t = 4p + 20.

Using t = 44

44 = 4p + 20

collect like terms or subtract 20 from both sides

44 - 20 = 4p

24 = 4p

Divide both sides by 4

24/4 = p

p = 6

You might be interested in
1011+111 in binary form
Ann [662]

Answer:

10010

Step-by-step explanation:

1011=1(2)^3+0(2)^2+1(2)^1+1(2)^0

111=1(2)^2+1(2)^1+1(2)^0

So 1011+111 gives us:

1(2)^3+0(2)^2+1(2)^1+1(2)^0

+

1(2)^2+1(2)^1+1(2)^0

-----------------------------------------------------

Combine like terms:

1(2)^3+(0+1)(2)^2+(1+1)(2)^1+(1+1)(2)^0

1(2)^3+1(2)^2+(2)(2)^1+(2)(2)^0

We aren't allowed to have a coefficient bigger than 1.

I'm going to replace 2^0 with 1 and 2 with (2)^1:

1(2)^3+1(2)^2+(2)^2+(2)^1(1)

I want a 2^0 number:

1(2)^3+1(2)^2+1(2)^2+1(2)^1+0(2)^0

Combine like terms:

1(2)^3+2(2)^2+1(2)^1+0(2)^0

2(2)^2=2^3:

1(2)^3+2^3+1(2)^1+0(2)^0

Combine like terms:

2(2)^3+1(2)^1+0(2)^0

We can rewrite the first term by law of exponents:

2^4+1(2)^1+0(2)^0

1(2)^4+1(2)^1+0(2)^0

So the binary form is:

10010

Maybe you like this way more:

Keep in mind 1+1=10 and that 1+1+1=11:

Setup:

      1     0     1      1

+            1      1      1

------------------------------

     (1)    (1)    (1)

      1     0     1      1

+            1      1      1

------------------------------

     1 0    0     1       0

I had to do some carry over with my 1+1=10 and 1+1+1=11.

8 0
3 years ago
Select the correct answer.
Nataly_w [17]

Answer:

<em>The translation corresponds to a translation of 13 units to the right</em>

Step-by-step explanation:

<u>Translation of a Graph</u>

If the graph of

y=f(x) is translated a units horizontally, then the equation of the translated graph is

y =f(x - a)

The value of a is considered positive for translations to the right.

The parent function is

y = x

and the given function is

y = x - 13

The translation corresponds to a translation of 13 units to the right

6 0
3 years ago
Pls help me! I need help asap!<br><br>​
valentinak56 [21]

1.

18 units

10 units right and 8 units up.

2.

7 units

3 units right and 4 units down.

3.

8 units

1 units right and 7 units down

4.

8 units

5 units and 3 units down

7 0
3 years ago
What is the value of b?<br> 50 points in it for you plus a thanks, 5 star and brainliest.
Amiraneli [1.4K]

Answer:

50

Step-by-step explanation:

4 0
3 years ago
URGENT PLEASE HELP !!!!!
Mumz [18]

Answer:

Let P represent the number of pies sold and J represent the number of juices sold.

a)

The first equation for the sum of the sales:

P + J = 79

P = 79 - J

Next, for the sum of the amounts earned:

1.65P + 1.36J = 118.17

Substituting P,

1.65 (79 - J) + 1.36J = 118.17

J = 42

Using this value of J,

P = 79 - 42

P = 37

b)

Mr. Sanchez's class earned: 1.65 x 37 = $61.05

Mr. Kelly's class earned: 1.36 x 42 = $57.12

So Mr. Sanchez's class earned more money.

c) Mr. Sanchez's class earned:

61.05 - 57.12

= $3.93 more than Mr. Kelly's class

Step-by-step explanation:

:)

4 0
3 years ago
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