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Contact [7]
4 years ago
10

Sylvia can work at most 15 hours per week at her part time job. Last week she worked 12 hours and earned $84. She hopes to earn

more than $100 next week. Explain how to use equations and inequalities to determine whether she can do so

Mathematics
2 answers:
NARA [144]4 years ago
7 0
--------------------------------------------------------------------------------------------
Find Sylvia's hourly rate
--------------------------------------------------------------------------------------------

12 hours = $84
1 hour = $7

--------------------------------------------------------------------------------------------
Find number of hours she needs to work to earn more than $100
--------------------------------------------------------------------------------------------
Let x be the number of hours she needs to work
7x > 100
x > 100 ÷ 7 
x > 14.28
x ≈ 15

--------------------------------------------------------------------------------------------
Ans: She needs to work at least 15 hours to get more than $100. It is possible because she can work 15 hours a week.
--------------------------------------------------------------------------------------------
sveticcg [70]4 years ago
7 0

Answer:

do not know

Step-by-step explanation:

there is not one

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The tires on your bicycle have a radius of 8 inches. How many rotations does each tire make when you travel 700 feet? Round your
Inessa [10]
"One rotation" would be the circumference of the wheel, which is

C = 2*pi*r, or  (here)  C = 2*pi*(8 inches) = 16*pi inches.

                                                                       1 ft
Convert this to feet:  16*pi inches  times  ---------------
                                                                   12 inches

Here "inches" cancels out and you are left with (4/3)pi ft.

So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.

Divide this into 700 feet:

700 ft            2100 
------------- = --------- rotations = 525 rotations (answer)
(4/3) pi ft        4
7 0
4 years ago
On a recent trip to the convenience store, you picked up 2 gallons of milk, 6 bottles of water, and 7 snack-size bags of chips.
pshichka [43]

Answer:

The water costs $1.90, the chips are $.95 and the milk is $3.80.

Step-by-step explanation:

Let m = milk

Let w = water

Let c = chips

2m+6w+7c =25.65      w = 2c     m = w + 1.90

For the first equation, substitute w for 2C and m for w + 1.90 to get:

2(w+1.90) +6(2c) + 7c = 25.65

2w+3.8+12c+7c=25.65

2w+19c = 21.85

Now substitute 2c for w:

2(2c)+19c =21.85

4c + 19c = 21.85

23c = 21.85

c = .95  Now that we know the cost of the chips we can use that to find the water and the milk for the original equations that we wrote at the top.

w = 2c

w=2(.95) = 1.90

m = w + 1.90 = 1.90+1.90 = 3.80

5 0
2 years ago
What part of the circumference is an arc whose measure is 30°?
Radda [10]
Circumference of a circle:
C = 2 r π;
Length of an arc:
L = r π α / 180°
L = r π · 30° / 180° = r π /6
r π /6   :   2 r π = 1/6 : 2 = 1/12
Answer: A ) 1/12 
7 0
3 years ago
Island A is 160 miles from island B. A ship captain travels 220 miles from island A and then finds that he is off course and 200
Angelina_Jolie [31]

Answer:

=135.53°

Step-by-step explanation:

The bearing that the captain should turn is the angle difference between the two islands from the position of the ship.

Let C be the position of the ship, then

AB is c=160

AC is b=220

BC is a=200

We use the cosine rule as follows:

c²=a²+b²-2ab Cos C

160²=200²+220²-2×200×220 Cos C

25600=88400-88000Cos C

88000 Cos C=88400-25600

88000Cos C=62800

Divide both sides by 88000.

Cos C=62800/88000

=0.7136

C=44.47°

He should turn (180°-44.47°)=135.53°

3 0
3 years ago
Joseph measures the ropes used to tie boats to a dock. He records the lengths of the ropes in feet and then makes a line plot.
ella [17]

Answer:

Joseph is correct, but i dont know the others.

7 0
3 years ago
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