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Sedbober [7]
4 years ago
13

A friends is buying flowers for mother's day. Because it is her 38th birthday, your friend want to have 38 of her favorite flowe

rs. Her favorite flowers are daisies at 1.50 each and tulips at 2.50 each if the total bill was 67, how many of tulips were bought
Mathematics
1 answer:
777dan777 [17]4 years ago
7 0

Answer: She bought 28 daises and 10 Tulips.

Step-by-step explanation:

Let x represent the number of daises bought.

Let y represent the number of tulips bought.

Your friend want to have 38 of her favorite flowers. This means that

x + y = 38

Her favorite flowers are daisies at 1.50 each and tulips at 2.50 each if the total bill was 67, it means that

1.5x + 2.5y = 67 - - - - - - - - - - - - 1

Substituting x = 38 - y into equation 1, it becomes

1.5(38 - y) + 2.5y = 67

57 - 1.5y + 2.5y = 67

- 1.5y + 2.5y = 67 - 57

y = 10

x = 38 - y = 38 - 10

x = 28

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3 years ago
If xy + y² = 6, then the value of dy/dx at x= -1 is<br>​
mylen [45]

Hi there!

\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}

\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

5 0
3 years ago
A running tap dispenses 0.15 gallons of water every second. How many pints of water is dispensed after 20 seconds? Show your wor
grigory [225]

0.15 US Gallons = 1.2 Pints

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5 0
3 years ago
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Find the point on the plane 4x+3y+z=10 that is nearest to​ (2,0,1). What are the values of​ x, y, and z for the​ point? x= 28 /
MariettaO [177]

Answer:

\frac{1}{\sqrt{26}}.

Step-by-step explanation:

The minimun distance between a point and a plane is the perpendicular distance. The formula is

d = \frac{|Ax_0+By_0+Cz_0+D|}{\sqrt{A^{2}+B^{2}+C^{2}}}

where (x_0,y_0,z_0)=(2,0,1), A=4, B=3, C=1 and D=-10. So, the distance is

d = \frac{|8+1-10|}{\sqrt{16+9+1}}

d =  \frac{|-1|}{\sqrt{26}}

d = \frac{1}{\sqrt{26}}.

4 0
3 years ago
Brady studied 1.5 hours on Monday, 0.75 hours on Tuesday, 1.25 hours on Wednesday, and 1 hour on Thursday. How
Advocard [28]

Brady studied for 4.5 hours that week

How we determine the total study hours?

The total study hours for Brady is the sum of the hours used in studying on Monday, Tuesday, Wednesday and Thursday.

He studied for 1.5 hours on Monday

He studied for 0.75 hours on Tuesday

He studied again for 1.25 hours on Wednesday

Lastly, he studied for 1 hour on Thursday, the last day

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Total number of study hours=4.50

Find out more about study hour on: brainly.com/question/876733

#SPJ1

8 0
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