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neonofarm [45]
3 years ago
12

Help! this is in algebra 1

Mathematics
1 answer:
Scrat [10]3 years ago
7 0

Answer: I have the pictures attached


Step-by-step explanation:

In order to graph this, we have to get it into this equation: y = mx + b, where m = slope and b = y intercept.

y = 3/2x - 4 is already in this form.

2y + 4 = 2 + 3x is not, so we have to isolate y

2y + 4 - 4 = 2 + 3x - 4

2y = -2 + 3x

2y/2 = -2/2 + 3x/2

y = -1 + 3/2x

y = 3/2x - 1

Okay, now graph it knowing your y intercepts and your slopes.

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Mike has a barrel in the barn to keep water for his cows. The barrel is 4.5 feet tall and has a diameter of 3 feet. Approximatel
sergiy2304 [10]

Answer:

Approximately 238\ gallons

Step-by-step explanation:

we know that

The volume of a cylinder (barrel) is equal to

V=\pi r^{2}h

in this problem we have

h=4.5\ ft

r=3/2=1.5\ ft -----> the radius is half the diameter

substitute

V=(3.14)(1.5^{2})(4.5)=31.7925\ ft^{3}

<u>Convert to gallons</u>

31.7925\ ft^{3}*7.5=238.44\ gallons

8 0
3 years ago
Once simplified, which of the expressions below is equal to 2x+8? Select all that apply.
romanna [79]

Answer: B) 2(x+4)

Step-by-step explanation: Hope this help :D

5 0
2 years ago
Last month, Katie started training for the swim team. She swam 20 laps every day for 18 training days. This month, Katie wants t
nasty-shy [4]

She swim 20 laps every day for 18 training days

so total laps done last month = 20*18 = 360 laps

She will swim 3 more laps per training day and add more training days to her monthly schedule.

20 laps + 3 laps = 23 laps

(a)If Katie adds 5 training days to her schedule this month, will she swim 215 more laps?

18 days + 5 days more = 23 days

23 laps every day for 23 training days

so total laps = 23*23 = 529 laps. That is 169 more laps than 360 laps done last month. Hence she cannot swim 215 more laps

If Katie adds 10 more training days to her schedule this month, will she swim 215 more laps?

18 days + 10 days more = 28 days

23 laps every day for 28 training days

so total laps = 23*28 =644 laps. That is 284 more laps than 360 laps done last month. Hence she can swim 215 more laps

(c)If Katie adds 6 more training days to her schedule this month, will she swim 215 more laps?

18 days + 6 days more = 24 days

23 laps every day for 24 training days

so total laps = 23*24 =552 laps. That is 192 more laps than 360 laps done last month. Hence she cannot swim 215 more laps

Build an equation for finding the number of additional training days she needs to swim 215 more laps

Let x be the number of days more

So training days = 18 + x

215 more laps , so total laps = 360 + 215 = 575

3 more laps per training day so 20 + 3 = 23 laps per day

laps * training days = total laps

so equation becomes

23 * (18+x) = 575

Now solve for x

414 + 23x = 575

Subtract 414 from both sides

23x = 161

x= 7

so she needs 7 training days to swim 215 more laps

3 0
3 years ago
In the rectangular prism shown below, which lines are intersecting?
Anit [1.1K]

Answer:

fj and jm

Step-by-step explanation:

They intersect at point j

6 0
3 years ago
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Which set does not contain –3?
svet-max [94.6K]
A real number is any number that is rational, including integers and natural numbers. A rational number is any number that can be written as a ratio or isn't a square root of a number. An integer is any whole number (not including fractions) that exists, negative or positive. A whole number is the same as an integer except it only includes positive numbers. 
Since a set of whole numbers wouldn't be able to include any negative numbers, your answer would be your fourth option. 
Hope this helped you out! :-)

4 0
3 years ago
Read 2 more answers
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