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3 years ago

Janie receives an allowance of $3 per week.

2 answers:

8 0

Janie receives an allowance of $3 per week.
In addition, she can earn $2 for each chore she does.
This week, she wants to earn enough money to buy a CD for $13.
Janie can do fractions of chores.

Write an inequality to determine the number of chores Janie must do this week to earn enough money to buy a CD.
13 <= 2c + 3 is the inequality.

Hope this helps!

soldier1979 [14.2K]3 years ago

7 0

13 = 2c + 3 is the inequality for one week

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At what point do the lines y = 6x – 18 and y=8x – 32 intersect?

anzhelika [568]

Answer:

(7, 24)

Step-by-step explanation:

Solve the system:

6x - 18 = 8x - 32

2x = 14

x = 7

y = 6(7) - 18

y = 24

4 0

2 years ago

Sara selects two of the seven colors of the rainbow, one after another, with replacement. What is the probability that the first

Triss [41]

Well, there are actually millions of colors in the rainbow, (every color that the human eye can see), but I do understand the question you're asking:

-- When Sara is ready to make her first selection, there are seven things with different colors in the pot, and one of them is red.

The probability that she picks the red one is ( 1 / 7 ).

The question says "with replacement". That means that after she selects it and looks at it, she puts it back in the pot. So . . .

-- When she's ready to make her second selection, the same seven things with different colors are still in the pot. One of them is orange.

The probability that she picks the orange one is ( 1 / 7 ).

-- The probability of BOTH selections being successful (the color she wants) is

(1/7) x (1/7) .

That's (1/49), which is about 2.04 percent .

3 0

3 years ago

The radius of the base of a cylinder is increasing at a rate of 7 millimeters per hour. The height of the cylinder is fixed at 1

Ilya [14]

Answer:

The rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

Step-by-step explanation:

Given:

Rate of increase of base of radius of base of cylinder = 7 mm/hr

Height of cylinder = 1.5 mm

Radius at a certain instant = 12 mm

To find rate of change of volume of cylinder at that instant.

Solution:

Let $r$ represent radius of base of cylinder at any instant.

Rate of increase of base of radius of base of cylinder can be given as:

$\frac{dr}{dt}=7\ mm/hr$

Volume of cylinder is given by:

$V=\pi\ r^2h$

Finding derivative of the Volume with respect to time.

$\frac{dV}{dt}=\pi\ h\ 2r\frac{dr}{dt}$

Plugging in the values given:

$\frac{dV}{dt}=\pi\ (1.5)\ 2(12)(7)$

$\frac{dV}{dt}=252\pi$

Using $\pi=3.14$

$\frac{dV}{dt}=252(3.14)$

$\frac{dV}{dt}=791.28\ mm^3/hr$ (Answer)

Thus rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

6 0

2 years ago

PLZ HELP i will give my last 10 points

DerKrebs [107]

Answer:

1=5

2=1

3= 4

4=3

5=6

6=5

Step-by-step explanation:

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2 years ago

Which triangles are congruent

Anarel [89]

Answer:

I don’t see any triangles to tell you

Step-by-step explanation:

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3 years ago