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Sladkaya [172]
3 years ago
6

Tickets for a school play sold for $7.50 for each adult and $3.00 for each child. The total receipts for 118 tickets totaled $69

6. Find the number of adult tickets sold.
adult tickets
Mathematics
1 answer:
NeX [460]3 years ago
7 0
X= number of adult tickets
y=number of child tickets.
we can suggest this system of equations: 
x+y=118                 ⇒x=118-y
7.5x+3y=696

we can solve this system of equations by substitution method:
7.5(118-y)+3y=696
885-7.5y+3y=696
-4.5y=-189
y=-189/-4.5
y=42

x=118-y
x=118-42
x=76

Answer: the number of adult tickets sold was 76. 
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gizmo_the_mogwai [7]

Answer:

1 ) 1 cubic centimeter = 0.000001 cubic meters

2 ) 4 cubic meters = 4000000 centimeters

3 ) 948 cubic meters = 948000 liters

Step-by-step explanation:

1 )

<u>Conversion</u>

1 centimeter = 0.01 meters

1 cubic centimeter

= 0.01 x 0.01 x 0.01

= 0.000001 cubic meters

72 cubic meters

= 72 x 0.000001

= 0.000072 cubic centimeters

2 )

<u>Conversion</u>

1 meter = 100 centimeter

1 cubic meter

= 100 x 100 x 100

= 1000000 cubic centimeters

4 cubic meters

= 4 x 1000000

= 4000000 centimeters

3 )

<u>Conversion</u>

1 cubic meter = 1000 liters

948 cubic meters

= 948 x 1000

= 948000 liters

7 0
2 years ago
PLEASE HELPPP
Y_Kistochka [10]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
Jackie and Rachel both worked during last summer and made $960 each. Rachel worked 16 hours more than Jackie, but Rachel earned
Pavel [41]

Answer:

The number of hours Jackie worked  = 80hours

Step-by-step explanation:

Last summer:

Jackie made $960

Rachel made $960

let number of hours Jackie worked = x

Rachel worked 16 hours more than Jackie:

Number of hours Rachel worked = x + 16

if Jackie earned $y  per hour

Rachel earned $2 less per hour = y-2

Jackie: 960 = x × y = xy

Rachel: 960 = (x+16)(y-2)

960 = xy -2x +16y -32

recall xy = 960, insert the value for xy

960 = 960 - 2x +16y -32

- 2x +16y -32 = 0

2x -16y = -32

x-8y = -16

x = 8y-16

recall xy = 960, insert the expression for x

(8y-16)y = 960

8y² -16y = 960

y² -2y - 120 = 0

y²+10y-12y -120 = 0

y(y+10) -12(y+10) = 0

(y-12) = 0 or (y+10) = 0

y = 12 or -10

since y can't be negative, y = 12

x = 8y-16

x = 8(12) -16 = 80

The number of hours Jackie worked = x = 80 hours

7 0
3 years ago
The fifth grade teachers took their classes on a field trip to museum first group had 25 students and two teachers and cost $97.
iren [92.7K]

Answer:


Step-by-step explanation:

S=student cost; T=teacher cost

.

32S+3T=$127 . Multiply this by 2.

64S+6T=$254 Subtract this below

.

25S+2T=$97.50 . Multiply this by 3.

75S+6T=$292.50

64S+6T=$254 . Subtract this (from above.)

.

11S=$38.50

S=$3.50

ANSWER 1: Student tickets cost $3.50.


.

32S+3T=$127

32($3.50)+3T=$127

$112+3T=$127

3T=$15

T=$5.00

ANSWER 2: Teacher tickets cost $5.00.

.

CHECK:

25S+2T=$97.50

25($3.50)+2($5.00)=$97.50

$87.50+$10.00=$97.50

$97.50=$97.50


4 0
3 years ago
Three investors own a company. One partner owns 1/4of the company, while the second partner owns 2/5 of the company. How
svetoff [14.1K]

Answer:

The third partner owns 7/20

Step-by-step explanation:

This is true because 1/4 is 5/20 ans 2/5 is 8/20. Combined that will equal 13/20. 20-13 is 7

Therefore, the answer is 7/20.

7 0
3 years ago
Read 2 more answers
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