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tia_tia [17]
3 years ago
14

Paul has just enough money to buy either 5 erasers and 30 pencils or 10 erasers and 24 pencils. Each eraser costs $0.30. How muc

h does each pencil cost?
Mathematics
1 answer:
jasenka [17]3 years ago
6 0
Each pencil will cost $0.25
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Solve for the equation, show all your work. This is an absolute value equation. You need to show both equations and the work for
VMariaS [17]

Answer:

x=-1 or 7

Step-by-step explanation:

We use casework on when 3x-9=12 and when 3x-9=-12.

For the first case, 3x-9=12, we add 9 to both sides to get

3x=21.

Dividing both sides by 3 gives

x=7.

For the second case, 3x-9=-12, we add 9 to both sides to get

3x=-3.

Dividing both sides by 3 gives

x=-1.

Checking both cases, we plug in x=7 and x=-1.

For the first case, we have |3(7)-9|=|21-9|=|12|=12,  which satisfies the equation.

For the second case, we have |3(-1)-9|=|-3-9|=|-12|=12, which also satisfies the equation.

This gives us two solutions to the equation; x=7 and x=-1.

4 0
1 year ago
Eight hundred tickets were sold for a theater production
yulyashka [42]

Answer:

280 student tickets

520 adult tickets

Explanation:

I'm guessing this is the question you meant to ask:

Eight hundred tickets were sold for a movie production and the receipts for the performance wear $8600. The tickets for adults and students sold for $12.50 and $7.50, respectively. How many of each ticket were sold?

3 0
2 years ago
A colony of flowers is pollinated by hummingbirds and sunbirds. Let H represents the number of hummingbirds and S represent the
zloy xaker [14]

<em><u>Complete Question:</u></em>

A colony of flowers is pollinated by hummingbirds and sunbirds. Let H represents the number of hummingbirds and S represent the number of sunbirds that must pollinate the colony so it can survive until next year.

6H+ 4S> 74

This year, 8 hummingbirds pollinated the colony. What is the least number of sun birds that must pollinate the colony to ensure that it will survive until next year?

<em><u>Answer:</u></em>

The least number of sun birds is 7

<em><u>Solution:</u></em>

Given inequality is:

6H + 4S > 74

Where,

H is the number of hummingbirds

S is the number of sunbirds

This year, 8 hummingbirds pollinated the colony

Substitute H = 8 in given inequality

6(8) + 4S > 74

48 + 4S > 74

Subtract 48 from both sides

48 + 4S - 48 > 74 - 48

4S > 26

Divide both sides by 4

S > 6.5

Hence the least number of sun birds is 7

7 0
2 years ago
Determine if each pair of expressions is equivalent. If so state the property shown
Elis [28]
They are not equivalent.

24/6= 4,
4/2=2

6/24= 0.25,
0.25/2= 0.125

2 does not equal 0.125
Final answer: Not equivalent
8 0
3 years ago
the smiths are planning to complete a 1890 mile trip in 3 days. if they drive 596 miles the first day and 612 miles the second d
Bingel [31]
They must travel 682 miles because 596+612=1,208 and 1,890-1,208=682
6 0
3 years ago
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