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allochka39001 [22]
3 years ago
7

Hillary babysits for $6 per hour. She also works as a math tutor for $8 per hour. Her parents only allow her to work 14 hours pe

r week. She wants to make at least $90. Write and graph a system of inequalities to represent this situation where x = babysitting and y = tutoring . Which represents a viable solution for hours worked by Hillary?
Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

(4.5, 8.5)

Step-by-step explanation:


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I NEED HELP BEING TIMED
Paladinen [302]

Answer:

18

Step-by-step explanation:

there are 4 cups in a quart. 4*5 1/2=22

22-4=18

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4 0
3 years ago
The radius of a cone is decreasing at a constant rate of 7 inches per second, and the volume is decreasing at a rate of 948 cubi
nadezda [96]

Answer:

Step-by-step explanation:

We have volume of cone as

V=\frac{1}{3} \pi r^2 h

and for a cone always r/h = constant

Given that r' = rate of change of radius = -7 inches/sec

(Negative sign because decresing)

V' =- 948 in^3/sec

Radius = 99 inches and volume = 525 inches

Height at this instant = \frac{525}{\frac{1}{3} \pi (99)^2} \\=\frac{0.1607}{\pi}

Let us differentiate the volume equation with respect to t using product rule

V=\frac{1}{3} \pi r^2 h\\V' = \frac{1}{3} \pi[2rhr'+r^2 h']\\-948 = \frac{1}{3} \pi[2(99)(-7)(\frac{0.1607}{\pi})+99^2 h']\\

-948 = \frac{1}{3} \pi[2(99)(-7)(\frac{0.1607}{\pi})+99^2 h']\\-948 = 33(3.14)(-2.25/3.14  + 99 h')\\-9.149=-0.72+99h'\\-8.429 = 99h'\\h' = 0.08514

Rate of change of height = 0.08514 in/sec

8 0
3 years ago
On a scale drawing of a town,two landmarks are shown 6 inches apart. These two places are actually separated by 54 miles. What i
ZanzabumX [31]

Answer:

9

Step-by-step explanation:

54 \div 6 = 9

3 0
2 years ago
"Which shapes are topologically equivalent to Choice 2?
DanielleElmas [232]
<span>Which shapes are topologically equivalent to Choice 2?  D. NONE

Choice 1, 3, and 4 are topologically equivalent. These figures each have two holes. 

Choice 2 has three holes and is different from the other. 

Topologically equivalent figures are figures that can be rearranged to form another shape without breaking.</span>
8 0
3 years ago
Mrs. Bogaczyk got bored and decided to go on an Amazon spending spree! She bought 3 pairs of flip flops for $14.95 each, a sundr
Dovator [93]

Step-by-step explanation:

3 pairs of flip flops = 14.95 x 3 = 44.85

Total amount spent = 44.85 + 21.50 + 9.99 + 15. 44 = 91.78

After adding tax = 91.78 + 7.34 = 99.12

Mrs B spent 99.12 altogether

Budget = 100

Then money left = 100 - 99.12 = 0.88

8 0
3 years ago
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