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MakcuM [25]
3 years ago
11

AJ is buying rulers and erasers at an office supply store. Rulers cost $1.15 and erasers cost $.39. He can spend up to $11 on th

ese items. Let x represent the number of rulers. Let y represent the number of pens.
What is an inequality that represents the situation?
Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0
$1.15x + $.39y = $11
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PLEASE ANSWERRRRRRRRRRRRRRRRRRRRRRRR
tekilochka [14]

Answer:

a=11, b=53

Step-by-step explanation:

y=ax+b

x=1, y=64 -> 64=a+b

x=2, y=75 -> 75=2a+b

75-64=a, a=11, b=53

All the other points obey this rule.

8 0
3 years ago
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Hi! I need help with the attached question in calc. Thank you:)
Elena L [17]

Answer:

3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

So, x = y/9.

Our radius since our axis is AB will be 1 - x or 1 - y/9.

And we are integrating from y = 0 to y = 9.

By the disk method (for a vertical axis of revolution):

\displaystyle V=\pi \int_a^b [R(y)]^2\, dy

So:

\displaystyle V=\pi\int_0^9\Big(1-\frac{y}{9}\Big)^2\, dy

Simplify:

\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy

Integrate:

\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]

Evaluate (I ignored the 0):

\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi

We acquire the exact same answer.

8 0
2 years ago
What is 1 2/5 as a whole number need fast
elixir [45]
Do u mean a mixed number?

2 2/5
4 0
3 years ago
L'Airbus A380 consomme approximativement 15 600 litres de kérosène à
sasho [114]

Answer:

7 800 pour 1/2 heure

Step-by-step explanation:

15 600/2=7 800

7 0
2 years ago
A sum of money is shared among Ben, Jack, and Sarah in the ratio 6 : 8 : 10.
alexdok [17]

Answer:

B:J:S

6:8:10

6+8+10= 24 parts all together

Sarah has $50 and equals 10 parts. So, each part is worth $5. (50/10=5)

Thus, Ben receives 6 parts, with each part being $5. So, Ben gets $30. (6x5=30)

8 0
3 years ago
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