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.
Answers
Answer:
Y=2x+ 5y
Y<(less than or equal to) 36
X+y>( greater than or equal to) 3
Step-by-step explanation:
So to find one variable in the equation such as finding the amount of roses or carnations, you would have to do system of equations. Some ways of using system of equations is to use substitution, elimination, or graphing.
Related Questions
Please help emergency
Answers
Answer:
1/20÷950
Step-by-step explanation:
hope this helps!
Answer:
the first one
Step-by-step explanation:
What is the value of y?Exaplain what the coordinates repersent
Answers
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 help with 2&3
Answers
Answer:
2. A 4√3
3. B -5/3
Step-by-step explanation:
The sum of three consecutive integers is more than 62. Write an inequality to represent the above
situation then solve your inequality.
Answers
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].
someone please help with my math on my page!!!
Answers
I'll try! What's the link?
Drag the tiles to the boxes to form correct pairs.
Match the trigonometric expressions to their solutions.
Answers
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:
You have 2000 grams of substance A which has decay constant 0.03, and you have 3000 grams of substance B, which has decay constant 0.05. After how many years will the amounts of the two substances be equal?
Answers
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.
I need help with number 6
Answers
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.
2) Fill in an angle measure greater than 100 degrees for the missing angle in yellow below. You will fill
this in at the top of the chart and base all other angles you calculate on this measure. Find all the
missing angle measure.
Answers
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°
HURRY 65 POINTS
consider the reduction of the rectangle.
A larger rectangle has a length of 18 inches and width of 8 inches. A smaller rectangle has a length of x inches and width of 3 inches.
Write a proportion and then solve to find the missing measure of the reduced rectangle.
What two ratios can be used in the proportion?
What is the value of the missing measure?
Answers
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.
A computer programming team has 13 members. a. How many ways can a group of seven be chosen to work on a project? b. Suppose seven team members are women and six are men. (i) How many groups of seven can be chosen that contain four women and three men? (ii) How many groups of seven can be chosen that contain at least one man? (iii) How many groups of seven can be chosen that contain at most three women? c. Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project? 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?
Answers
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
Which equation, in point–slope form, passes through (–2, 4) and has a slope of 3?
y – 4 = 3(x – 2)
y – 4 = 3(x + 2)
y + 4 = 3(x – 2)
y + 4 = 3(x + 2)
Answers
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)
What is a hectoliter?
1,000 liters
100 grams
1/100 of a liter
100 liters
Answers
Answer:
100 litres
Step-by-step explanation:
Answer:
It is 100 liters
Step-by-step explanation:
I hope it helps lol
How many wholes are in 1/8?
Answers
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.
4/9 x ? =1 what is the answer
Answers
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
From data gathered in the period 2008−2012, the yearly value of U.S. exports can be modeled by the function E(x) = −228x3 + 2,252.8x2 − 6,098.5x + 11,425.8 where x is the number of years after 2008 and E(x) is the value of exports in billions of dollars. The yearly value of U.S. imports can be modeled by the function I(x) = −400.4x3 + 3,954.4x2 − 11,128.8x + 17,749.6 where x is the number of years after 2008 and I(x) is the value of imports in billions of dollars. Estimate the total value the U.S. imported and exported in 2011. Round to the nearest whole number. About billion dollars were imported and exported by the U.S. in 2011.
Answers
Answer:you got this:)
Step-by-step explanation:
Mr. Trask wants to fill his four hummingbird feeders with liquid food. Two feeders hold 6 fluid ounces each. One larger feeder holds 1 cup of liquid. The largest feeder holds 1 pint. How many fluid ounces of liquid food does Mr. Trask need to fill the four bird feeders?
A. 14 fl oz
B. 28 fl oz
C. 30 fl oz
D. 36 fl oz
Answers
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
Mya runs around a 400 m track at a constant speed of 250 m/min. how many minutes does it take Mya to complete four laps of the track
Answers
Answer:
6.4 laps
Step-by-step explanation:
53 students divided into groups of 6 students how many groups of students will there be?
Answers
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
which mortal kombat character is yalls favorite? Mine is kabal.
Answers
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:
In Mrs. Madison's math classes, 15% of the students have an ‘A’. If 18 students have an ‘A’, how many students are in Mrs. Madison’s math classes? [Type your answer as a number.]
Answers
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!
archibald is so excited that he earned $200 but then uncle ramon reminds archibald he borrowed $210 for his last adventure. after archibald pays uncle ramon all that he made is the debt settled
Answers
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.
Pls help♀️♀️♀️♀️♀️♀️♀️♀️♀️♀️♀️♀️♀️♀️♀️
Answers
Hope this helps
In how many different ways can five children hold hands to play "Ring Around the Rosy"?
Answers
Answer:
Step-by-step explanation:
25
which expression is equivalent to 45-20s
Answers
I need to see the other expressions
A 120 pack of paper towels last 1/2 a year. How many paper towels per month did we use
Answers
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
By what number must you multiply a quantity in order to increase it by 25% in a single step?
Answers
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.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$60.00
4%
?
The sales tax is $
Answers
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
A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions (1) What is the slope of AB? (2) What is the length of AB? (3) What are the coordinates of the mid point of AB?(4) What is the slope of a line perpendicular to AB ?
Answers
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]
Eli wanted to order candy online. Company A is offering 2 1/2 pounds of chocolate for $32.00. How much is Company A charging per pound of chocolate?
Answers
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