Alex is ordering his girlfriend a bouquet of flowers for their anniversary. Roses cost $5 each and carnations cost $2 each. He would like to include at least 3 flowers.To stay in his budget, he must not spend more than $36.

1) Identify the combinations of roses or carnations Alex could purchase for his girlfriend.

A) 3 roses and 8 carnations
B) 6 roses and 6 carnations
C) 6 roses and 1 carnation
D) 4 roses and 11 carnations
E) 2 roses and 6 carnations


2) Norah graphed the system above.

Did she graph the system correctly?

O) No, Norah did not graph correctly.
O) Yes, Norah is correct.

Answer:

If you have a quantity X of a substance, with a decay constant r, then the equation that tells you the amount of substance that you have, at a time t, is:

C(t) = X*e^(-r*t)

Now, we know that:

We have 2000g of substance A, and it has a decay constant of 0.03 (i assume that is in 1/year because the question asks in years)

And we have 3000 grams of substance B, with a decay constant of 0.05.

Then the equations for both of them will be:

Ca = 2000g*e^(-0.03*t)

Cb = 3000g*e^(-0.05*t)

Where t is in years.

We want to find the value of t such that Ca = Cb.

So we need to solve:

2000g*e^(-0.03*t) = 3000g*e^(-0.05*t)

e^(-0.03*t) = (3/2)e^(-0.05*t)

e^(-0.03*t)/e^(-0.05*t) = 3/2

e^(t*(0.05 - 0.03))  = 3/2

e^(t*0.02) = 3/2

Now we can apply Ln(x) to both sides, and get:

Ln(e^(t*0.02)) = Ln(3/2)

t*0.02 = Ln(3/2)

t = Ln(3/2)/0.02 = 20.3

Then after 20.3 years, both substances will have the same mass.

Answer:

m∠a = 110°

m∠b = 110°

m∠c = 70°

m∠d = 70°

m∠i = 110°

m∠h = 110°

m∠j = 70°

m∠g = 110°

m∠f = 70°

m∠e = 70°

m∠k = 57°

m∠m = 70°

m∠l = 167°

Step-by-step explanation:

Let the measure of the yellow angle = 110°

Therefore;

m∠a = 110°  by vertically opposite angles

m∠b = m∠a = 110° by opposite interior angles of a parallelogram

m∠c = 180° - 110° = 70° by same side interior angles

m∠d = m∠c = 70° by opposite interior angles of a parallelogram

m∠i and m∠c are supplementary angles, therefore, m∠i = 110°

m∠h = m∠i = 110° by vertically opposite angles

m∠j = m∠c = 70° by vertically opposite angles

m∠g and m∠d are supplementary angles, therefore, m∠g = 110°

m∠f = m∠d = 70° by alternate interior angles

m∠f = m∠e = 70° by vertically opposite angles

m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°

m∠b and m∠m are supplementary angles, therefore, m∠m = 70°

m∠l and 13° are supplementary angles, therefore, m∠l = 167°

Answer:

Um finish the question but if its how much does he have left, its none.

Step-by-step explanation:

Didn't finish question and the reason why it's none well (-10), is because he had $200.000 than got 200=10 taken away.

Answer:

18/8 = x/3

x = 6.75 inches (length)

Step-by-step explanation:

A larger rectangle has a length of 18 inches and width of 8 inches.

Inches /width = 18/8

So, for a rectangle that has a length of x inches and width of 3 inches the ratio is :

x/3

Solving for x:

18/8 = x/3

18/8 (3) =x

6.75 in= x

Feel free to ask for more if needed or if you did not understand something.

Answer:you got this:)

Step-by-step explanation:

Answer:

omg! mine is Kabal tooo

Step-by-step explanation: i love mortal combat lol

Answer:

Scorpion

I am a normie yes I know

Leave me alone

Step-by-step explanation:

Answer:

1/20÷950

Step-by-step explanation:

hope this helps!

Answer:

the first one

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 fluid ounces in one cup

16 fluid ounces in a pint

2 feeders of 6 fluid ounces each

8 plus 16 plus 12

36, D

Answer:

(1, 35) means that $35 is the cost per hour of hiring a face painter.

Step-by-step explanation:

Notice that this is a linear function that goes through the origin and also through the point (5, 175) which according to the data plotted in both axis, means that for 5 hours of service, the cost is $175.

One can calculate the slope of this line as that of the segment that joins (0, 0) with (5, 175) as:

slope = (175 - 0) / (5 - 0) = 175 / 5 = 35 / 1

Notice as well that such slope reads the amount of dollars to hire a face painter for ONE hour (so it is the rate per hour for hiring a face painter).

So the point (1 , y) should be completed as: (1, 35) and means "the rate per hour for hiring a face painter."

I need to see the other expressions

I'll try! What's the link?

Answer:

90 i think if i did the math correct

Step-by-step explanation:

Answer:

90 inches

Step-by-step explanation:

12" in a foot so in order to convert 3' to inches after Walt apply it by 12. once you have that just the formula to find the perimeter.

3 × 12 = 36

the perimeter formula is: 2L + 2W = P

36 × 2 = 72 9 × 2 = 18

72 + 18 = 90

your answer should be 90 inches.

Answer:

Step-by-step explanation:

X=2.25

Ur welcome

Answer:

Step-by-step explanation:

4/9*x=1

x=9/4 The reciprocal of 4/9 is 9/4 and makes 1 whole.

**reciprocal is a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity

Answer:

9

Step-by-step explanation:

53/6 = 8 R5

One of the groups will have only 5 students because you can only have whole students, not parts of a student.

Answer:

Step-by-step explanation:

53/6= 8 5/6

The first 6 groups will have 8 students with 5 students remaining. They can have 5 groups with 9 students and 1 with 8 students

Answer:

2. A 4√3

3. B -5/3

Step-by-step explanation:

Answer:

100 litres

Step-by-step explanation:

Answer:

It is 100 liters

Step-by-step explanation:

I hope it helps lol

Answer:

y - 4 = 3(x + 2)

Step-by-step explanation:

y - y₁ = m(x - x₁)

y - 4 = 3(x - (-2))

y - 4 = 3(x + 2)

Given:

Sum of three consecutive integers is more than 62.

To find:

The inequality to represent the above  situation then solve your inequality.

Solution:

Let the three consecutive integers are [tex]x,x+1,x+2[/tex] respectively.

Sum of three consecutive integers is more than 62. So,

[tex]x+(x+1)+(x+2)>62[/tex]

[tex]3x+3>62[/tex]

Subtract 3 from both sides.

[tex]3x>62-3[/tex]

[tex]3x>59[/tex]

Divide both sides by 3.

[tex]x>\dfrac{59}{3}[/tex]

Therefore, the required inequality is [tex]x+(x+1)+(x+2)>62[/tex] and solution is [tex]x>\dfrac{59}{3}[/tex].

Answer:

Therefore, Company B is offering the lowest price/lb at $12.73/lb.

So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb

Step-by-step explanation:

To determine price per lb, divide dollar amount by lbs.

- Company A sells 2 1/2lbs (2.5lbs) for $32.50

- Company B sells 2 3/4lbs (2.75lbs) for $35.00

And, Company B's price / lb = ($35.00/2.75lbs) = $12.73/lb

Answer:

Step-by-step explanation:

25

Answer:

1) cos (140°-(50°+30°)) = 1/2

2)  [tex]sin255^{\circ}=\frac{-\sqrt{2}-\sqrt{6} }{\sqrt{4} }[/tex]

3)  [tex]cos150^{\circ}=-\frac{ \sqrt{3} }{2}[/tex]

4) ,  [tex]tan 240^{\circ}=\sqrt{3}[/tex]

Step-by-step explanation:

1) cos (140°-(50°+30°))

Solving:

cos (140°-(50°+30°))

=cos(140°-80°)

=cos(60°)

=1/2

So, cos (140°-(50°+30°)) = 1/2

2) sin 255°

We can write sin 255° as sin(180°+75°)

Solving sing formula sin(a+b)=sin(a)cos(y)+cos(x)sin(y)

[tex]sin(180^{\circ}+75^{\circ})\\=sin(180^{\circ})cos(75^{\circ})+cos(180^{\circ})sin(75^{\circ})\\=0(cos(75^{\circ}))+(-1)(\frac{\sqrt{2}+\sqrt{6} }{\sqrt{4} } )\\=0+(-1)(\frac{\sqrt{2}+\sqrt{6} }{\sqrt{4} } )\\\=\frac{-\sqrt{2}-\sqrt{6} }{\sqrt{4} }[/tex]

So, [tex]sin255^{\circ}=\frac{-\sqrt{2}-\sqrt{6} }{\sqrt{4} }[/tex]

3) cos 150°

We can solve this using the identity: cos(x)=sin(90°-x)

Solving:

cos 150°= sin(90°-150°)

=sin(-60°)

We know sin(-x)=-sin(x)

=-sin(60°)

=[tex]-\frac{ \sqrt{3} }{2}[/tex]

So, we get [tex]cos150^{\circ}=-\frac{ \sqrt{3} }{2}[/tex]

4) tan 240°

We know tan(180°+x)=tan(x)

tan 240° can be written as tan(180°+60°)

Using the above identity:

tan(180°+60°)=tan(60°) = [tex]\sqrt{3}[/tex]

So,  [tex]tan 240^{\circ}=\sqrt{3}[/tex]

Answer:

here ya go

Step-by-step explanation:

Answer:

1716 ;

700 ;

1715 ;

658 ;

1254 ;

792

Step-by-step explanation:

Given that :

Number of members (n) = 13

a. How many ways can a group of seven be chosen to work on a project?

13C7:

Recall :

nCr = n! ÷ (n-r)! r!

13C7 = 13! ÷ (13 - 7)!7!

= 13! ÷ 6! 7!

(13*12*11*10*9*8*7!) ÷ 7! (6*5*4*3*2*1)

1235520 / 720

= 1716

b. Suppose seven team members are women and six are men.

Men = 6 ; women = 7

(i) How many groups of seven can be chosen that contain four women and three men?

(7C4) * (6C3)

Using calculator :

7C4 = 35

6C3 = 20

(35 * 20) = 700

(ii) How many groups of seven can be chosen that contain at least one man?

13C7 - 7C7

7C7 = only women

13C7 = 1716

7C7 = 1

1716 - 1 = 1715

(iii) How many groups of seven can be chosen that contain at most three women?

(6C4 * 7C3) + (6C5 * 7C2) + (6C6 * 7C1)

Using calculator :

(15 * 35) + (6 * 21) + (1 * 7)

525 + 126 + 7

= 658

c. Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project?

(First in second out) + (second in first out) + (both out)

13 - 2 = 11

11C6 + 11C6 + 11C7

Using calculator :

462 + 462 + 330

= 1254

d. Suppose two team members insist on either working together or not at all on projects. How many groups of seven can be chosen to work on a project?

Number of ways with both in the group = 11C5

Number of ways with both out of the group = 11C7

11C5 + 11C7

462 + 330

= 792

Answer:

5/4

Step-by-step explanation:

Lets suppose a quantity A that has a value of x

A = x

25% of A is = x/4

now adding this 25% to get 25% increase in the original value

A' = x+ x/4

    A' = 5x/4

    A' = 5*A/4

This means that , in order to increase the value by 25%  in a single step we must multiply the the original value by 5/4.

Answer:

20

Step-by-step explanation:

Because if 120 lasts 1/2 a year which is equivalent to 6 months you do 120 divided by 6 and get 20 hope this helps

Answer:

120/6 = 20 paper towels per month

Step-by-step explanation:

half a year is 6 months

120 divided by 6 is 20

Answer:

1. Slope: [tex]m = \frac{4}{3}[/tex]

2. Distance: [tex]AB = 10[/tex]

3.  Midpoint: [tex]M = (5,7)[/tex]

4. Slope of perpendicular line: [tex]m_2 = -\frac{3}{4}[/tex]

Step-by-step explanation:

Given

[tex]A = (2,3)[/tex]

[tex]B = (8,11)[/tex]

Solving (1): Slope of AB

Slope (m) is calculated as follows:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex]A = (2,3)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]B = (8,11)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{11 - 3}{8 - 2}[/tex]

[tex]m = \frac{8}{6}[/tex]

[tex]m = \frac{4}{3}[/tex]

Solving (2): Length AB

This is solved by calculating the distance of AB using the following formula.

[tex]AB=\sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}[/tex]

Where:

[tex]A = (2,3)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]B = (8,11)[/tex] --- [tex](x_2,y_2)[/tex]

So:

[tex]AB = \sqrt{(2-8)^2 + (3 - 11)^2}[/tex]

[tex]AB = \sqrt{(-6)^2 + (-8)^2}[/tex]

[tex]AB = \sqrt{36 + 64}[/tex]

[tex]AB = \sqrt{100}[/tex]

[tex]AB = 10[/tex]

Solving (3): Midpoint of AB.

Midpoint, M is calculated as follows:

[tex]M = \frac{1}{2}(x_1+x_2, y_1 + y_2)[/tex]

Where

[tex]A = (2,3)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]B = (8,11)[/tex] --- [tex](x_2,y_2)[/tex]

So:

[tex]M = \frac{1}{2}(2+8,3+11)[/tex]

[tex]M = \frac{1}{2}(10,14)[/tex]

[tex]M = (5,7)[/tex]

Solving (4): Slope of line perpendicular to AB

The relationship between the slopes of two perpendicular lines is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

Where

[tex]m_1[/tex] represents the slope of AB

[tex]m_1 = \frac{4}{3}[/tex]

So:

[tex]m_2 = -1/\frac{4}{3}[/tex]

[tex]m_2 = -1*\frac{3}{4}[/tex]

[tex]m_2 = -\frac{3}{4}[/tex]

Answer:

6.4 laps

Step-by-step explanation:

Answer:

There are NO wholes in 1/8.

If it were 8/8, then it would be equal to 1 whole. Since it is only 1/8, there is non wholes.

Answer:

The correct answer is 120 students!

Step-by-step explanation:

There is a proportion you need to write down to solve it but i don’t know how to write it on here!

Answer: $2.40

Step-by-step explanation:

$60.00 x .04 = $2.40

Answer:

2.40

Step-by-step explanation:

4% of 60.00 is 2.40