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Oksanka [162]
3 years ago
6

The student council sells short sleeves for $5 each and long sleeve for $6 each. The sell 20 t shirts for a total of $105. How m

any of each type did they sell?
Mathematics
1 answer:
Kryger [21]3 years ago
5 0

Answer:the number of short sleeves shirt sold is 15

the number of long sleeves shirt sold is 5

Step-by-step explanation:

Let x represent the number of short sleeves shirt sold by the student council.

Let y represent the number of long sleeves shirt sold by the student council.

The student council sells short sleeves for $5 each and long sleeve for $6 each. They were sold for a total of $105. This means that

5x + 6y = 105 - - - - - - - - - -1

The total number of shirts sold is 20. This means that

x + y = 20

Substituting x = 20 - y into equation 1, it becomes

5(20 - y) + 6y = 105

100 - 5y + 6y = 105

- 5y + 6y = 105 - 100

y = 5

x = 20 - y = 20 - 5

x = 15

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A function is shown in the table:
Ipatiy [6.2K]

Answer:

The function is increasing from x = -2 to x = -1.

Step-by-step explanation:

The graph starts at -2 and is increasing by 1. it would not be "The function is increasing from x = 0 to x = 1" because it does not start at 0. it starts at -2. even though they both increase by 1, the starting point answer is always the best option.

8 0
3 years ago
My Notes A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 f
Sergio [31]

Answer:

6.667 ft/s

Step-by-step explanation:

Given

Height of street light = 15ft

Height of man = 6ft

Speed away from pole = 4ft/s

Let x represents the distance between the man and the pole, and Let y represents the distance between the tip of the man's shadow to the pole.

This forms a similar triangle (see attachment below).

From similar triangles, we have

(y - x)/6 = y/15 ----- Solve equation

15(y - x) = 6 * y

15y - 15x = 6y ---- Collect Like Terms

15y - 6y = 15x

9y = 15x --- divide through by 9

y = 15x/9

y = 5x/3 ---- differentiate with respect to time, t

dy/dt = 5/3 dx/dt

dx/dt represents rate of change of distance per time = 4ft/s

while dy/dt represents rate of movement of his shadow tips

dy/dt = 5/3 * 4

dy/dt = 20/3 = 6.667 ft/s

4 0
3 years ago
Read 2 more answers
If 2/9 of the students in a school are in 6th grade, then how
sveticcg [70]

Answer:

231

Step-by-step explanation:

\frac{2}{9} =\frac{42}{x}

42÷2= 21

9×21= 189

189 students total

42 6th graders

5 0
3 years ago
Read 2 more answers
Rita get paid $16 per hour for the first 8 hour she works each day.She earned 1and 1/2 times her hourly pay rate for the first t
djyliett [7]

Answer:

Rita's pay for Monday is $158.

Step-by-step explanation:

Rita's hourly pay for an 8-hour shift she works everyday is, $16.

If she works overtime she gets paid 1.5 times her hourly pay for every extra hour.

That is, if she works (8 + <em>x</em>) hours a day then the pay for the <em>x</em> hour is, 1.5<em>x</em>.

Rita's working hours on Monday is:

  • Started from 8:15 AM to 12:45 PM ⇒ 4 hours 30 minutes.
  • 45 minutes lunch break ⇒ 12:45 PM + 45 minutes = 1:30 PM
  • Worked from 1:30 PM to 6:15 PM ⇒ 4 hours 45 minutes

It is provided that Rita does not get paid for lunch hour.

Rita's pay for Monday is computed as follows:

= (8:15 AM - 12:45 PM) + (1:30 PM - 6:15 PM)

= (4 hours 30 minutes) + (4 hours 30 minutes)

= (4 + 4) hours + (30 + 45) minutes

= (8 × 16) + (75 minutes × 16 × 1.5)

= 128 + (1.25 hours × 24)

= 128 + 30

= 158

Thus, Rita's pay for Monday is $158.

3 0
3 years ago
Two-step equations - integers
Andrews [41]
Question 1. -3 + v5 = 0
Work : -3 + 5v = 0
5v = 3 ( divide )
answer v = 3/5

Question 2. 1 - 7B = -20
work : -7b = -20 - 1
-7b = -21 ( divide )
answer b = 3

question 3 : -k - 5 = 0
work : -k = 5
answer : k = - 5

Question 4 : -1 + 8a = 129
work : 8a = 129 + 1
8a = 130 (divide )
answer a = 65/4

3 0
2 years ago
Read 2 more answers
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