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3 years ago

8x – 8 = 7x + 4 x = 12 How do they get 12?

Mathematics

2 answers:

Tpy6a [65]3 years ago

8 0

By simplifying both sides of the equation then isolating the variable

Aleks [24]3 years ago

8 0

8x-8=7x+4
-7x -7x

x-8=4
+8 +8

x= 12

you put the like variables together and then try to isolate the variable

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Do przygotowania ćwierć litra soku potrzebne są 4 marchewki. Ile marchewek potrzeba żeby otrzymać pół litra soku, litr soku, 2li

Alina [70]

Answer:

Part 1) 8 carrots

Part 2) 16 carrots

Part 3) 32 carrots

Part 4) 48 carrots

Step-by-step explanation:

The question in English is

4 carrots are needed to prepare a quarter liter of juice. How many carrots do you need to get half a liter of juice, a liter of juice, 2 liters of juice, 3 liters of juice

Part 1) How many carrots do you need to get half a liter of juice?

we know that

4 carrots are needed to prepare 1/4 liter of juice

using proportion

Find out how many carrots do you need to get 1/2 liter of juice

$\frac{4}{(1/4)}=\frac{x}{(1/2)}\\\\x=4(1/2)/(1/4)\\\\x=8\ carrots$

Part 2) How many carrots do you need to get a liter of juice?

we know that

4 carrots are needed to prepare 1/4 liter of juice

using proportion

Find out how many carrots do you need to get 1 liter of juice

$\frac{4}{(1/4)}=\frac{x}{1}\\\\x=4(1)/(1/4)\\\\x=16\ carrots$

Part 3) How many carrots do you need to get 2 liters of juice?

we know that

4 carrots are needed to prepare 1/4 liter of juice

using proportion

Find out how many carrots do you need to get 2 liters of juice

$\frac{4}{(1/4)}=\frac{x}{2}\\\\x=4(2)/(1/4)\\\\x=32\ carrots$

Part 4) How many carrots do you need to get 3 liters of juice?

we know that

4 carrots are needed to prepare 1/4 liter of juice

using proportion

Find out how many carrots do you need to get 3 liters of juice

$\frac{4}{(1/4)}=\frac{x}{3}\\\\x=4(3)/(1/4)\\\\x=48\ carrots$

4 0

3 years ago

A 1000 gallon tank, initially full of water, develops a leak at the bottom. Given that 300 gallons of water leak out in the firs

Over [174]

Answer:

option F

Step-by-step explanation:

given,

capacity of tank = 1000 gallon

volume of water leak = 300 gallon

time = 30 min

water is leaking at the rate

formula used

$A = B e^{-kt}$

At t = 0 A = 1000 gallons

$1000= B e^{-k\times 0}$

B = 1000

$A = 1000 e^{-kt}$

at t = 30 A = 700

$700= 1000 e^{-k\times 30}$

$e^{-k\times 30}=0.7$

taking ln both side

$-k\times 30=ln(0.7)$

$k=-\dfrac{ln(0.7)}{30}$

now,

$A = 1000 e^{\dfrac{ln(0.7)}{30}t}$

$A = 1000\times 0.7 e^{\dfrac{t}{30}}$

$A = 700 e^{\dfrac{t}{30}}$

hence, the correct answer is option F

6 0

4 years ago

Determine the standard form of an equation that passes through (2,2) and (-6,4).

Mumz [18]

Slope = (4 - 2)/(-6 - 2)= 2/-8 = -1/4

y = mx + b
2 = -1/4(2) + b
2 = -1/2 + b
b = 5/2

equation
y = -1/4x + 5/2
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x + 4y = 10

answer
A) x+4y=10

7 0

4 years ago

(-4x + 8y) + (-9x + 2.3y)

Marat540 [252]

Answer:

-13x + 10.3y

Step-by-step explanation:

6 0

4 years ago

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Keith_Richards [23]