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lyudmila [28]
3 years ago
13

3/4(8x-4)=7x+2, I need to find out the answer

Mathematics
1 answer:
laiz [17]3 years ago
8 0

Answer: x = -5

Step-by-step explanation:

First convert 3/4 to decimal= 0.75

0.75 (8x - 4) = 7x + 2

6x - 3 = 7x + 2

Transpose 7x from right hand side to the left hand side

6x - 7x = 2 + 3

-x = 5

x = -5

I hope this helps.

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A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 450°F into a room that is a constant 70°F. After 5​
gladu [14]

Answer:

A) It will get to a temperature of 125°F at 9:19 PM

B) It will get to a temperature of 150°F at 9:16 PM

C) as time passes temperature approaches the initial temperature of 450°F

Step-by-step explanation:

We are given;

Initial temperature; T_i = 450°F

Room temperature; T_r = 70°F

From Newton's law of cooling, temperature after time (t) is given as;

T(t) = T_r + (T_i - T_r)e^(-kt)

Where k is cooling rate and t is time after the initial temperature.

Now, we are told that After 5​ minutes, the temperature is 300°F.

Thus;

300 = 70 + (450 - 70)e^(-5k)

300 - 70 = 380e^(-5k)

230/380 = e^(-5k)

e^(-5k) = 0.6053

-5k = In 0.6053

-5k = -0.502

k = 0.502/5

k = 0.1004 /min

A) Thus, at temperature of 125°F, we can find the time from;

125 = 70 + (450 - 70)e^(-0.1004t)

125 - 70 = 380e^(-0.1004t)

55/380 = e^(-0.1004t)

In (55/380) = -0.1004t

-0.1004t = -1.9328

t = 1.9328/0.1018

t ≈ 19 minutes

Thus, it will get to a temperature of 125°F at 9:19 PM

B) Thus, at temperature of 150°F, we can find the time from;

150 = 70 + (450 - 70)e^(-0.1004t)

150 - 70 = 380e^(-0.1004t)

80/380 = e^(-0.1004t)

In (80/380) = -0.1004t

-0.1004t = -1.5581

t = 1.5581/0.1004

t ≈ 16 minutes.

Thus, it will get to a temperature of 150°F at 9:16 PM

C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.

Thus,we have;

T(t) = T_r + (T_i - T_r)

T_r will cancel out to give;

T(t) = T_i

Thus, as time passes temperature approaches the initial temperature of 450°F

6 0
3 years ago
While working out, Susie does 25 sit-ups for every 12 push-ups. If she does 60 push-ups, how many sit-ups will she do?
Sholpan [36]

Answer:

125 situps

Step-by-step explanation:

We can use a ratio to solve

25 situp          x situps

---------------  = --------------

12 pushup    60 pushups

Using cross products

25 * 60 = 12x

Divide each side by 12

25*60/12 = 12x/12

125 = x

4 0
3 years ago
PLEASE HELP which is a solution to the equation 6 x + y=4
VladimirAG [237]
Its D. x = 2, y = -8
6*2 + (-8) = 12 - 8 = 4
5 0
3 years ago
**Giving away 20 points**. I need to know the arc length for EF and the area of sector EOF please:) (also plz show work thanks!!
LiRa [457]
Let us for a few seconds nevermind there's a circle at all, so we only really have a triangle by itself.

now, EF = 18, wait a second!  EF is the base of the triangle, and h = 10.725, wait a minute!!  "h" is the height of the triangle.

so, what's the area of a triangle whose base is 18 and has a height of 10.725?  yeap, we knew you'd know that one.

what's the length of the arcEF?  well, we know the central angle of ∡FOE is 80°, well, arc's get their angle measurement from the central angle they're in, so if ∡FOE is 80°, so is arcEF then.
3 0
3 years ago
PLEASE HURRY!!
barxatty [35]

Answer: Is a function

the question unfinished so it will be hard to solve

3 0
3 years ago
Read 2 more answers
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