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ipn [44]
1 year ago
8

Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x . Leave your answer in the form y =

m x + c
Mathematics
1 answer:
Juliette [100K]1 year ago
8 0

Answer:

y =  \frac{1}{2} x +  \frac{5}{2}

Step-by-step explanation:

Since the line with equation y = 1 - 2x has slope -2, we need to find the equation of the line with slope 1/2.

3  =  \frac{1}{2} (1) + b

3  =   \frac{1}{2}  + b

b =  \frac{5}{2}

y =  \frac{1}{2}x +  \frac{5}{2}

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Students in an environmental science class raised money to buy plants for a community garden. The students raised money by selli
finlep [7]

Answer:

50 gluten-free cupcakes and 100 regular cupcakes.

Step-by-step explanation:

Let's define the variables:

R = number of regular cupcakes sold

G = number of gluten-free cupcakes sold

The total amount of money raised then is:

M = R*$2.00 + G*$3.00

We also know that:

The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.

then:

R = 2*G

And we also know that the amount of money raised is $350

Then we have the equations:

R = 2*G

R*$2.00 + G*$3.00 = $350

We can replace the first equation into the second one, so we have only one variable:

(2*G)*$2.00 + G*$3.00 = $350

Now we can solve this for G.

G*$4.00 + G*$3.00 = $350

G*$7.00 = $350

G = $350/$7.00 = 50

G = 50

50 gluten-free cupcakes where sold.

And using the equation:

R = 2*G = 2*50 = 100

We can conclude that 100 regular cupcakes were sold.

3 0
2 years ago
Two pounds of grapes cost $6.
velikii [3]

Answer:

leftmost empty cell: ⅓

rightmost empty cell: 3

Step-by-step explanation:

✔️If 2 pounds grapes cost $6, then x pounds of grapes cost $1.

Thus;

2 : 6 = x : 1

2/6 = x/1

Multiply both sides by

²/6 × 1 = x/1 × 1

²/6 = x

¹/3 = x

x = ⅓

✔️If 2 pounds grapes cost $6, then 1 pound of grapes cost $x.

Thus;

2 : 6 = 1 : x

²/6 = ¹/x

Cross multiply

2x = 6

Divide both sides by 2

2x/2 = ⁶/2

x = 3

7 0
3 years ago
Show all work to multiply​
max2010maxim [7]

Answer:

58

Step-by-step explanation:

(2)(4) + (2)(-√-100) + (√-25)(4) + (√-25)(-√-100)

= 8 - 20i + 20i + 50 = 58

7 0
2 years ago
P/q+6/q=?/q what is the numerator?
Nitella [24]
1219e21eddq2d32rxc2e1
7 0
3 years ago
PLEASE HELP ME!!!!
luda_lava [24]

Answer:

3.00

Step-by-step explanation:

Given that :

Payout(X) : ___ 0 ___ 4 ___ 6 ____ 8 _____ 10

Probability (p(x) 0.5 _ 0.2 __0.15 __0.1 ___ 0.05

Expected value :E(X) = ΣX* p(x)

E(X) = (0*0.5) + (4*0.2) + (6*0.15) + (8*0.1) + (10*0.05)

E(X) = 3

Expected value = 3.00

8 0
2 years ago
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