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Softa [21]
3 years ago
12

Inequalities Exam

Mathematics
1 answer:
Igoryamba3 years ago
3 0

Answer:

t > 8

Step-by-step explanation:

Given that :

Initial volume = 16 litres

Addition rate = 4 litres per minute

Target volume > 48 litres

Let number of minute for which water is added to achieve these = t

Mathematically,

Initial volume + (addition rate * t) > target volume

16 + 4t > 48

Collect like terms

4t > 48 - 16

4t > 32

Divide both sides by 4

4t/4 > 32/4

t > 8

Laura will need add water at 4 Litre per minute rate for more than 8 minutes

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Cade gets his phone bill and finds out that he is charged a 20 dollar flat rate and then must also pay .05 cents per minute. Wri
Klio2033 [76]

Answer:

1100 minutes

Step-by-step explanation:

Equation: 35=.05x-20

Why? x is the amount of minutes on his phone. Each minute is 0.05 hence 0.05x. Subtract 20 because that is the flat rate

55=.05x

x=1100

Therefore he was on his phone for 1100 minutes

7 0
3 years ago
A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?
erastova [34]
Let sales be x 
<span>.03x = 180 </span>
<span>divide both sides by .03 </span>
<span>x = 180/.03 = 6000</span>
6 0
3 years ago
Paul needs 40 pounds of 48% silver alloy to finish a collection of jewelry. How many pounds each of 45% silver alloy and 60% sil
Salsk061 [2.6K]
<span>Equation:
silver + silver = silver
0.45x + 0.60(40-x) = 0.48*40
----------------
45x + 60*40 - 60x = 48*40

--------
-15x = -12*40
x = (4/5)40
x = 32 lbs (amt of 45% slloy needed)
40-x = 8 lbs (amt of 60% alloy needed)</span>
8 0
3 years ago
Which expression is equivalent to5(h+9)
Fantom [35]

Answer:

The answer would be 5h+45

Step-by-step explanation

5 (h+9)

You need to convert this equation into the equation

you multiply 5 by h and get 5h

Then multiply the same number outside the parenthesis, 5, by 9 which will give you the answer 45

Once you have 5h and 45 just put it together with the addition symbol which will will equal:

5 (h+9) = 5h + 45

Your Welcome! (hopefully this answers your question)

4 0
3 years ago
Six people are standing in line for concert tickets. Their average age is 27. The average age of the first four people in line i
scZoUnD [109]
<span>Let the age of the 4th person be F
Sum of the 1st four in line: 4(23), or 92
Sum of 1st 3: 92 - F (excludes the 4th person's age)
Sum of the last 3 in line: 3(34), or 102
</span><span>Sum of last 2: 102 - F (excludes the 4th person's age)
Sum of all 6: 6(27), or 162 (INCLUDES 4th person's age)
We now get: F + 92 - F + 102- F = 162
- F + 194 = 162
- F = 162 - 194
- F = - 32
F, or 4th person's age = -32/-1, or 32

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

</span>
6 0
4 years ago
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