Ali wants to surprise his wife Sara by presenting her some flowers, when he returns back from a work tour. He plans to spend exactly $24 on a bunch of exactly two dozen flowers. Sara loves lilies, roses and daisies. At the flower market they are selling lilies for $3 each, roses for $2 each, and daisies $0.50 each. How many flowers of each type can Ali buy?

Answers

Answer 1

Answer:

he can buy 8 of lilies and 12 of rose and 48 of daisies

Answer 2

Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.

Suppose Ali buys x flowers of lilies, y flowers of roses, and z flowers of daisies.

According to the question

x+y+z = 24......(1)

3x+2y+0.5z = 24.......(2)

Here, we have three variables but only two equations.

2(2)-(1) gives, 5x+3y = 24......(3)

Since, x, y and z can take only integer values.

What are integers?

Numbers that are not fractions called integers.

So, from (3) only x=3 and y=3 is possible

So, z= 24-x-y

z=24-3-3 = 18

So, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.

Therefore, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.

To get more about linear equations visit:

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Related Questions

Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
O y-2 = 3(x +1/2)
O y-3 = 2(x + 1/2)
O y+ 1/2 = 3(x - 2)
o y + 1/2 = 2(x - 3)


Answers

Answer:

[tex]\displaystyle y + \frac{1}{2} = 3\, (x - 2)[/tex].

Step-by-step explanation:

Consider a line in a cartesian plane that goes through the point [tex](x_{0},\, y_{0})[/tex]. If the slope of this line is [tex]m[/tex] (a real constant,) the equation of this line in point-slope form would be:

[tex]y - y_{0} = m\, (x - x_{0})[/tex].

The line in this question goes through the point [tex](2,\, (-1/2))[/tex]. Thus, [tex]x_{0} = 2[/tex] whereas [tex]y = (-1/2)[/tex]. The slope of this line is [tex]m = 3[/tex]. Thus, the equation of this line in point-slope form would be:

[tex]y - (-1/2) = 3\, (x - 2)[/tex].

Simplify to obtain:

[tex]y + (1/2) = 3\, (x - 2)[/tex].

Write the next whole number after 4444 in the base-five system.

Answers

Answer:   10000 in base 5

====================================================

Explanation:

4+1 = 5 in base 10

But in base 5, the digit "5" does not exist.

The only digits in base five are: 0, 1, 2, 3, 4

This is similar to how in base ten, the digits span from 0 to 9 with the digit "10" not being a thing (rather it's the combination of the digits "1" and "0" put together).

----------------

Anyways let's go back to base 5.

Instead of writing 4+1 = 5, we'd write 4+1 = 10 in base 5. The first digit rolls back to a 0 and we involve a second digit of 1.

Think how 9+1 = 10 in base 10.

Similarly,

44+1 = 100 in base 5

444+1 = 1000 in base 5

4444+1 = 10000 in base 5

and so on.

----------------

Here are the first few numbers in base 5, when counting up by 1 each time.

0, 1, 2, 3, 4,

10, 11, 12, 13, 14,

20, 21, 22, 23, 24,

30, 31, 32, 33, 34,

40, 41, 42, 43, 44,

100, 101, 102, 103, ...

Notice each new row is when the pattern changes from what someone would expect in base 10. This is solely because the digit "5" isn't available in base 5.

How do you write 7,100 in scientific notation

Answers

Answer:

7.1 x 10³

Step-by-step explanation:

Move your decimal so that it follows your first whole number greater than zero. The number of places you moved the decimal is the same as the exponent. Since the number 7.1 needs to INCREASE to be 7,100, then the exponent is positive.

Answer:

7.1 x 10[tex]^{3}[/tex] (note the 3 is an exponent)

Step-by-step explanation:

1. Count how many places there are to the right of 7

2. There are 3

3. Apply the formula of scientific notation a x 10[tex]^{b}[/tex]

4. 7.1 x 10[tex]^{3}[/tex]  (remove all digits after 7.1  

Hope this helps :)

The questionnnnnnnnn

Answers

i’m pretty sure the answer is C

Answer:

C

Step-by-step explanation:

C because 25% + 10% = 35% and 10% + 25% is also 35%

HELP PLEASE SHOW WORK

A triangle has one angle that measures 40 degrees, one angle that measures 119 degrees, and one angle that measures 21 degrees.

What kind of triangle is it?
A.
acute triangle
B.
equilateral triangle
C.
obtuse triangle
D.
right triangle

Answers

Answer:

obtuse triangle

Step-by-step explanation:

one angle measures more than 90°

Answer: obtuse triangle


Step-by-step explanation: an acute triangle is a triangle that has angles less than 90 degrees, a right triangle is a triangle that has an angle that is 90 degrees, and an equilateral triangle is a triangle that's sides are all the same degrees, we know those all cancel out so the answer has got to be obtuse triangle


Factor z3 + 2z2 - 9z - 18. (z - 3)(z + 3)(z + 2) (z 2 + 9)(z - 2) (z 2 + 2)(z - 9)

Answers

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

if an item regularly cost d dollars and is discounted 12 percent, which of the following represents the discounted price?

Answers

If an item usually costs d dollars a 12% discount can be represented as 0.88d.

What is a discount?

This refers to a deduction in the regular price of a product or service that is usually represented using a percentage.

How can the discounted price be represented?

Considering 12% is being deducted from 100% (100-12 = 88). The final price can be represented as 0.88d or 0.88 multiplied by the regular price (d).

For example, if the regular price is $100, 0.88 x 100 = $88.

Learn more about discount in: https://brainly.com/question/3541148

PLEASE HELP ASAP, BEST ANSWER GETS +50 POINTS AND BRAINLIEST

prove that if the center of a circle is equidistant from the sides of an inscribed triangle, then the triangle is equilateral?

Please answer with a picture/drawing/diagram, and statement and reasons for Brainliest! Thanks!

Answers

Answer:

if your using a 60,60,60 triangle ; the centers are the same.

The triangle's equilateral.

hope it helps!!!

Step-by-step explanation:

See attached

Hope this helps! :D

observa la sucesion que llevan las figuras realiza las figuras que faltan ​

Answers

Answer:

13, 16, 19, 22, 25, etc.

Step-by-step explanation:

You're pretty much just adding three for the chart. And for the diagram, you're adding two.

A business analyst has determined that the selling price per unit for a laser printer is $1600. The cost to make one laser printer is $950, and the fixed cost is $211,250. Find the break-even point.

please show the work thank you

Answers

Answer:

Solve the following equation

Step-by-step explanation:

You need to make an equation of this

Let x be the number of computers made

1600 × x = (950 × x) + 211250

When both sides are equal, that is the break even

-5X^2 + 3X = -3X^2 + 3X - 50  solve for x ​

Answers

[tex]-5x^2+3x = -3x^2 +3x -50\\\\\implies 5x^2-3x^2 +3x-3x -50 =0\\\\\implies 2x^2 -50 =0\\\\\implies x^2 -25 = 0\\\\\implies x^2 = 25\\\\\implies x = \pm5\\\\\text{Hence}~ x = 5~ \text{or}~ x = -5[/tex]

Answer:

X = 5, —5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

[tex] \rm \frac{ {10}^5 }{ {e}^{ \sqrt{e} } } \left( \int^{1}_0 {e}^{ \sqrt[]{ {e}^{x} } } \: dx + 2 \int_{e}^{ {e}^{ \sqrt{e} } } ln( ln(x) ) \: dx\right) \\ [/tex]​

Answers

In the first integral, substitute [tex]x \to e^{\sqrt{e^x}}[/tex]:

[tex]\displaystyle I = \int_0^1 e^{\sqrt{e^x}} \, dx = 2 \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]

In the second integral, integrate by parts:

[tex]\displaystyle J = \int_e^{e^{\sqrt e}} \ln(\ln(x)) \, dx = \dfrac12 e^{\sqrt e} - \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]

It follows that

[tex]\dfrac{10^5}{e^{\sqrt e}}(I+2J) = \dfrac{10^5}{e^{\sqrt e}} \times e^{\sqrt e} = \boxed{10^5}[/tex]

Shayla and Carlos each have a bag that contains five green marbles five red marbles and 10 yellow marbles the marvels are all the same size and shape which expression represents the probability that Shayla will select two red marbles

Answers

The probability that Shayla will select two red marbles from the bag is 1/16.

What is the probability?

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that Shayla will select two red marbles  = (number of red marbles / total number of marbles) x (number of red marbles / total number of marbles)

5/20 x 5/20 = 1/16

To learn more about probability, please check: https://brainly.com/question/13234031

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Write the equation of a parabola with focus at (1,-4) and a directrix at X=2

Answers

Answer:

The equation of a parabola is

[tex]x = \frac{1}{4(f - h)} (y - k) ^{2} + h[/tex]

Step-by-step explanation:

(h,k) is the vertex and (f,k) is the focus.

Thus, f = 1, k = −4.

The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.

Solving the system, we get h = 3/2, k = -4, f = 1.

The standard form is:

[tex]x = - \frac{y ^{2} }{2} - 4y - \frac{13}{2} [/tex]

The general form is:

[tex]2x + {y}^{2} + 8y + 13 = 0[/tex]

The vertex form is:

[tex]x = - \frac{(y + 4) ^{2} }{2} + \frac{3}{2} [/tex]

The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.

The focal length is the distance between the focus and the vertex: 1/2.

The focal parameter is the distance between the focus and the directrix: 1.

The latus rectum is parallel to the directrix and passes through the focus: x = 1.

The length of the latus rectum is four times the distance between the vertex and the focus: 2.

The eccentricity of a parabola is always 1.

The x-intercepts can be found by setting y = 0 in the equation and solving for x.

x-intercept:

[tex]( - \frac{13}{2} \: ,0)[/tex]

The y-intercepts can be found by setting x = 0 in the equation and solving for y.

y-intercepts:

[tex](0, - 4 - \sqrt{3)} [/tex]

[tex](0, - 4 + \sqrt{3)} [/tex]

A motorcycle travels 20 miles west and then turns and goes 52° north of west another 38 miles. How far is the motorcycle from its starting point? Round to the nearest tenth.

Answers

Answer:52.7

Step-by-step explanation:

1) Find the angle inside the triangle by subtracting 52 from 180 getting you 128

2)Then we input everything into the law of cosines

The diameter of a circular field is 56 cm. Find the length of wire required to
fence it? How
many times it can be fenced with 704 m of wire ?

Answers

Answer:

176cm

400 times

Step-by-step explanation:

a football player can run 13.5 yards in 4.5 seconds. which equation is used to find r, the number of yards he can run in 1 second

Answers

Answer:

3

Step-by-step explanation:

You just divide 13.5 by 4.5, and you get 3 yards per second.

The sale price of an item is $105 after a 30% discount is applied. What is the original price of the item?

SHOW WORK PLEASE AND THANKYOU
and be quick please

Answers

Answer:

$150

Step-by-step explanation:

let x be the original price

105 = 0.7x

150 = x

The premier party ended at 11:05 P.M. and was 5 hours 25 minutes long. At what time did the premier party start?

Answers

Answer:

The elapsed time is 2 hours and 5 minutes. Example 4. The movie started at 7:30 pm and ended at 10:20 pm. 

Step-by-step explanation:

Elapsed time is the amount of time that has passed between two events. You can calculate the elapsed time by figuring out the difference between the start and stop time.Here is an elapsed time problem.Soccer practice begins at 3:15 p.m. and ends at 4:45 p.m. Determine how long soccer practice lasts.To solve this problem, set up a subtraction problem that could be used to find the number of hours and minutes that pass between those two times.Subtract the starting time from the stopping time. Remember that both times represent the number of hours and minutes past noon. 

5 : 40 PM

Explanation:

   11 : 05 P.M

(-)  5 : 25

--------------

5 : 40 PM

At 5 : 40 PM the premier party started.

Which statement about the following system is correct?
y = - 2x + 5
2x + y = – 5
-

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

The given equations represents parallel lines, since they have same slope and the y - intercepts of each of the equations are distinct.

Therefore, the correct choice is ~

D. The system is inconsistent because it has no solution.

please answer correctly thanks ​

Answers

Answer:

Step-by-step explanation:

add all the three.

Answer:

60

Step-by-step explanation:

AD= AB+BC+CD

=22+29+9

=60 cm

can someone pls help me with this. WILL MARK BRAINLIEST

Answers

Answer:

The answer is D :)

Step-by-step explanation:

I think this because when you multiply the unit value of PR, 4, by 3 it equals 12, which is TVs, value. If you do the same to QP's unit value, 3, by 3 again, you will get UT's unit value, 9.

Have an amazing day!!

Please rate an dmark brainliest!!

The answer is B or D.

4² - 5² × 2³ what is the value of the expression.

Answers

[tex]4 {}^{2} - 5 {}^{2} \times 2 {}^{3} [/tex]

[tex]16 - 25 \times 8[/tex]

[tex]16 - 200[/tex]

[tex] - 184[/tex]

Hello!

Let's evaluate this expression.

4²-5²×2³

4²=16

16-5²×2³

5²=25

16-25×2³

2³=8

16-25×8

According to PEMDAS, the next operation is multiplication (M)

16-200

Subtract:

-184

Hence, the simplified expression is equal to

[tex]\boxed{\boxed{\bold{-184}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

A right angled triangle has hypotenuse 9cm and sides (x+5) and (x-3)cm. calculate x

Answers

Answer:

x= 3.95

Step-by-step explanation:

Hypotenuse = 9 cm

side = (x+5) cm

other side = (x-3) cm

Pythagoras theorem:          Hypotenuse² = Base² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = (-b±√b²-4ac) / 2a

x = (-4±√16+376) / 2(2)

x = (3.95 and -5.95)

   We ignore the negative  -5.95

So x = 3.95

What is the value if X? and how to find exterior angles. ​

Answers

Sum of exterior angle= 360 degree

Think about each of the following. Which of these three triangles is impossible to draw?

Answers

Check by using sum of angles of triangle = 180°

20+45 < 180 so third angle will make it 180 which means it's possible to draw 120+50 = 170< 180 so third angle being 10 will complete the triangle90+100 = 190 > 180 so third angle being (-10) is impossible for the triangle so it can't be possible

Write the percent as a decimal.

78% =

Answers

0.78 or .78 and Brainly says I need twenty characters so here

Answer:

.78

Step-by-step explanation:

i belive its .78 as you can multiply any given number by both and get the same answer

I NEED HELP IMMEDIATLY! 100 POINTS AND BRAINLY!!!!!!!

Solve for ccc.
Give an exact answer.
0.2(10-5c)=5c-160.2(10−5c)=5c−160, point, 2, left parenthesis, 10, minus, 5, c, right parenthesis, equals, 5, c, minus, 16
c =c=c, equals

Answers

C = 2.7

First, simplify both sides of the equation.

0.2(1 − 5c) = 5c − 16

(0.2)(1) + (0.2)(−5c)= 5c + −16

0.2 + −c = 5c + −16

−c + 0.2 = 5c − 16

Now subtract 5c from both sides of the equation, then subtract 0.2 from both sides.

−c + 0.2 − 5c = 5c − 16 − 5c

−6c + 0.2 = −16

−6c + 0.2 −0.2 = −16 - 0.2

−6c = −16.2

Lastly, divide both sides by -6.

-6c/-6 = -16.2/6

2.7

Please mark this as brainliest, cheers.

Which pair of functions are inverses of each other? ​

Answers

Answer:

D

Step-by-step explanation:

f(x) = 10x - 5 → x = 10g(x) - 5 → x + 5 = 10g(x) →

g(x) = (x + 5)/10

The GCF of a pair of numbers is 4 and the LCM is 2240. If one the numbers is 64, then what is the other number?

Answers

Hope it helps…..best of luckkkkk
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