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Cerrena [4.2K]
3 years ago
8

Eileen drove for 85 minutes. This is 21 more minutes than one third the number of minutes Ethan drove. How do I put this into an

equation?
Mathematics
2 answers:
Lapatulllka [165]3 years ago
6 0
So let's start out by labeling Ethan as X

Since 85 is 1/3 of what Ethan drove, that means Ethan drove 3 times of 85.

85= (3x) -21                                 
85 -21 = 3x
60=3x
20 = x 
xxMikexx [17]3 years ago
5 0

Answer:85= (3x) -21  

Step-by-step explanation:

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Find the midpoint of the segment with the given endpoints -2.1/-3.2
marysya [2.9K]

Answer:

The midpoint is (-2.65)

Step-by-step explanation:

we know that

The formula of the midpoint between two points is equal to

m=(\frac{x1+x2}{2})

In this problem we have

x1=-2.1,x2=-3.2

substitute in the formula

m=(\frac{-2.1-3.2}{2})

m=(-2.65)

3 0
4 years ago
Write an equation of the line that passes through (1, 2) and is parallel to y = - 5x + 4
vlada-n [284]

Answer:

y = -5x +7

Step-by-step explanation:

8 0
3 years ago
The cost to manufacture a product is proportional to the quantity produced, with a cost of $35000 dollars per day when 700 items
ollegr [7]

Solution :

$T_1$ = k.n (cost proportional to quantity)

35000 = k . 700

k = $\frac{35000}{700}$

  = 50

So $T_1$ = 50 n

Now $T_2=Pn^2$     (cost proportional to square of n)

$3430= P(700)^2$

3430 = 490000 P

$P = \frac{3430}{490000}$

$P = \frac{7}{1000}$

$T_2=\frac{7}{1000}n^2$

Now, $T_3= 7000$   (fixed)

Therefore,

Total, $T=T_1+T_2+T_3$

$T=50n+\frac{7}{1000}n^2+7000$

$T=0.007n^2+50n+7000$

7 0
3 years ago
A parabola opening up or down has vertex (0,-7) and passes through (4,-3). Write its equation in vertex form
soldier1979 [14.2K]

Answer:

y = \frac{1}{4} x² - 7

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, - 7), thus

y = a(x - 0)² - 7

To find a substitute (4, - 3) into the equation

- 3 = a(4 - 0)² - 7, that is

- 3 = 16a - 7 ( add 7 to both sides )

4 = 16a ( divide both sides by 16 )

a = \frac{1}{4}, thus

y = \frac{1}{4} x² - 7

3 0
4 years ago
The solution to the equation x^3 = 125 is:<br><br> A. 5<br> B. -5<br> C. ±5<br> D. 125/3
harkovskaia [24]
5 would be the answer because you have to do 5*5*5 and then you will get 25*5 which would result in 125
6 0
3 years ago
Read 2 more answers
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