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Ad libitum [116K]
3 years ago
8

How many solutions does the equation 4x + 2(x - 5) = 3(2x - 4) have?

Mathematics
1 answer:
Paraphin [41]3 years ago
8 0

Answer:

I think C

Step-by-step explanation:

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THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!
emmainna [20.7K]

9514 1404 393

Answer:

  49π m² ≈ 154 m²

Step-by-step explanation:

The formula for the area of a circle is usually remembered as ...

  A = πr² . . . . . for radius r

Here, we're given the diameter. We can either figure the radius from the diameter and use this formula, or we can rewrite the formula to use the diameter.

  r = d/2 = (14 m)/2 = 7 m

  A = π(7 m)² = 49π m² . . . . . "exact" answer

Sometimes when multiples of 7 are involved, we like to use π ≈ 22/7. Using that value, the area is ...

  A = 49π m² = 49(22/7) m² = 154 m² . . . . . approximation using π = 22/7

Often, algebra problems insist on using the value π = 3.14. For that value, the area is ...

  A = 49π m² = 49(3.14) m² = 153.86 m² . . . . . approximation using π = 3.14

Using the "pi button" on your calculator, the numeric answer is ...

  A ≈ 49(3.14159265359) m² ≈ 153.938 m² . . . . using "pi button"

_____

If we rewrite the formula to use the diameter directly, then the area is ...

  A = π(d/2)² = (π/4)d²

For the diameter of 14 m, this is ...

  A = (π/4)(14 m²) = π(196/4) m² = 49π m² . . . . same as above

5 0
3 years ago
7. the perimeter of a triangle is 80cm. write and simplify an equation to solve for x.<br>​
Nady [450]

Answer:

X = 18

Step-by-step explanation:

(x+3)+(x+3)+(3x-16) = 80

5x-10 = 80

5x = 80+10

5x = 90

x = 90/5

x = 18

hope that helped!

3 0
3 years ago
Exhibit 13-3 To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been r
marta [7]

Answer:

a. 1.059

Step-by-step explanation:

Test statistics is used in hypothesis testing to find the conclusion. Test statistics are T-values which are used in testing a hypothesis and deciding whether to accept or reject the null hypothesis.

Test statistics can be calculated with the following formula:

Z = x - u / s /\sqrt{n}

7 0
3 years ago
A manager wishes to determine the relationship between the number of miles traveled​ (in hundreds of​ miles) by her sales repres
kati45 [8]

Answer:

y=3.53 x +37.92  

And for 0 miles if we use the model we got:

y(0)= 3.53*0 +37.92 = 37.92

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

Step-by-step explanation:

For this case we assume the following data:

Miles traveled (X): 2,3,10,7,8,15,3,1,11

Sales (Y): 31,33,78,62,65,61,48,55,120

We want to found a linear model like this one : y = mx+b. Where:

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33  

And the slope would be:  

m=\frac{642.33}{182}=3.529  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.667  

\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.444  

And we can find the intercept using this:  

b=\bar y -m \bar x=61.444-(3.529*6.667)=37.917  

So the line would be given by:  

y=3.53 x +37.92  

And for 0 miles if we use the model we got:

y(0)= 3.53*0 +37.92 = 37.92

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

8 0
3 years ago
A motor scooter travels 20 mi in the same time that a bicycle covers 8 mi if the rate of the scooter is 4 mph more than twice th
aleksandr82 [10.1K]

We observe that 20 is 4 more than twice 8. This suggests the time is 1 hour and the rates are

... scooter: 20 mi/h

... bicycle: 8 mi/h

_____

You can let b represent the rate of the bicycle in miles per hour. Then we have (for time in hours and distance in miles) ...

... time = distance/speed

... time = 20/(2b+4) = 8/b

... 20b = 8(2b+4) = 16b +32

... 4b = 32

... b = 8

The rate of the bicycle is 8 mph; that of the scooter is 2*8+4 = 20 mph.

8 0
3 years ago
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