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seropon [69]
2 years ago
15

Mrs. Pregnals's biology classes are going on a field trip. She has them break into groups of three or four

Mathematics
1 answer:
Law Incorporation [45]2 years ago
8 0

Answer:

x + y = 32 (1)

3x + 4y = 120 (2)

x = 8; y = 24

Step-by-step explanation:

Total students = 120

Number of groups = 32

If the number of three person groups = x

Number of four person groups = y

write a system of equations that models this situation

x + y = 32 (1)

3x + 4y = 120 (2)

From (1)

x = 32 - y

Substitute x = 32 - y into (2)

3(32 - y) + 4y = 120

96 - 3y + 4y = 120

- 3y + 4y = 120 - 96

y = 24

Substitute y = 24 into (1)

x + y = 32

x + 24 = 32

x = 32 - 24

x = 8

x = 8; y = 24

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Find the value of x. Give reasons to justify your solution. b ∈ ac, d ∈ fa
tatiyna

Answer:

x = 27

Step-by-step explanation:

∠ ABD and ∠ BDE are alternate angles and are congruent, then

∠ BDE = 72°

∠ ADB + ∠ BDE + ∠ EDF = 180° ( sum of angles on a straight line ), that is

2x + 72 + 2x = 180

4x + 72 = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

6 0
2 years ago
Lisa purchased a hat for $10, a purse for $20, and a book for $23.The sales-tax rate was 7.2 percent. What was the total amount
Vlad [161]

From information given Lisa bought three items.

10 + 20 + 23 = 53 dollars ( which is total pre- tax cost)

The sales tax rate is at 7.2% . Value of this tax in dollars will be:

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So the tax rate value is 3.816

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Rounded off  to the nearest cent 56.816   =  56.80

Therefore Lisa paid a total of $ 56.80


 

8 0
3 years ago
A supermarket had bags of red grapes for $13.00 for 5 bags. They also had bags of green grapes priced at $5.08 for 2 bags. Which
Sedbober [7]

Answer:

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Step-by-step explanation:

If you find how much one bag of each grape cost which is:

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$5.08 ÷ 2 = $2.54 (1 bag of green grapes)

See the price and you'll know it is red grapes.

5 0
2 years ago
A pet groomer who gets groomed is an example of what type of pay
pashok25 [27]
This question doesn't make sence to me could you explain
6 0
3 years ago
find the measure of the vertex anlge of an isosceles triangle if the measure of one base angle is 36°
atroni [7]
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3 years ago
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