Ms. Leong owned an ice cream store and had chocolate ice cream and vanilla ice cream for sale. She sold ¾ of the chocolate ice cream and ½ of the vanilla ice cream. If, at the end of the day, she had 20 scoops of chocolate ice cream and 30 scoops of vanilla ice cream left, what is the total number of scoops of ice cream Ms. Leong had at the start of the day?

Given:

Total number of flower they buy = 29 stems

Total cost = $120.94

Lilies cost = $3.42 per stem

Peonies cost = $4.78 per stem

To find:

The number of lily stems and peony stems did they buy.

Solution:

Let number of lily stems = x

Number of lily stems and peony stems = y

According to given information,

[tex]x+y=29[/tex]                           ...(i)

[tex]3.42x+4.78y=120.94[/tex]                ...(ii)

From (i) and (ii), we get

[tex]3.42x+4.78(29-x)=120.94[/tex]

[tex]3.42x+138.62-4.78x=120.94[/tex]

[tex]-1.36x=120.94-138.62[/tex]

[tex]-1.36x=-17.68[/tex]

Divide both sides by -1.36.

[tex]x=\dfrac{-17.68}{-1.36}[/tex]

[tex]x=13[/tex]

Put x=13 in (i).

[tex]13+y=29[/tex]

[tex]y=29-13[/tex]

[tex]y=16[/tex]

Therefore, number of lily stems is 13 and number of lily stems and peony stems is 16.

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

4/5 = 0.8

0.8 is greater than 0.56

Answer:

your answer will be C.63

Answer:

Solving steps:

Question: jasmine has all nickels x and dimes y in her coin jar. if she has 36 coins in all, and four more dimes than. nickels find how much money she has in her coin jar

Find: how much money she has in her coin jar

Solution: let's make an equation for this problem

She has 4 more dimes than nikels:y= x+4 Let's use this value for y in the next equation:

she has 18 nickels and 36-18= 18 dimes

The required Jasmine has 16 nickles and 20 dimes which constitute  $2.80 in her coin jar.

Let's use the given information to set up a system of equations to solve for the number of nickels (x) and dimes (y) in Jasmine's coin jar.

We are given that Jasmine has a total of 36 coins in her jar, so we have the equation:

x + y = 36 -- Equation 1

We are also given that Jasmine has four more dimes than nickels, which can be expressed as:

y = x + 4 -- Equation 2

Now, let's solve this system of equations. We can substitute Equation 2 into Equation 1 to eliminate y:

x + (x + 4) = 36

2x = 36 - 4

x = 16

Now that we have the value of x, we can substitute it back into Equation 2 to find y:

y = x + 4

y = 16 + 4

y = 20

Therefore, Jasmine has 16 nickels (x) and 20 dimes (y) in her coin jar.

To find the total amount of money she has, we need to calculate the value of the nickels and dimes separately:

Value of nickels = 0.05 * 16 = $0.80

Value of dimes = 0.10 * 20 = $2.00

The total amount of money in her coin jar is:

$0.80 + $2.00 = $2.80

Jasmine has $2.80 in her coin jar.

Learn more about the equation model here:

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Answer: z =  144 . so therefore , z + 45 = 189

Step-by-step explanation: good luck . <3

Answer:

Lisa's mother and sister each pay towards car payment is $250 each.

The key used is "Evenly"

Step-by-step explanation:

Lisa owes $500 for a car payment.

Her mother and sister would be willing to split the car payment Evenly and pay it for her.

So, they each pay towards the payment = [tex]\frac{500}{2}[/tex] =250

So, each pay $250.

Here the key helped is "Evenly" to solve this problem. Evenly means they  split the amount equally.

Answer:

(all in index form)

1. 2 x 5 x 3^2

2. 2^2 x 3^4

3. 2^2 x 3 x 11

Step-by-step explanation:

90 = 2, 45 - 5, 9 - 3, 3

324 = 2, 162 - 2, 81 - 9, 9 = 3, 3, 3, 3

132 = 2, 66 - 2, 33 - 3, 11

Answer:

1. 2x3x3x5 or 2 x 3^2 x 5

2. 2^2 x 3^4 or 22x34

3. 2x2x3x11 or 11x12 or 11 2^2x3

Good luck!

Answer:

Y=-0.75+6

Step-by-step explanation:

Y=mx+B

m= -0.75

when Y=0 and x=8, b=6

Well, it can't be the two on the right, because the bottom isn't at 6, but at 6.6

and its is positive, so it has to be the FIRST ONE

Answer:

-33

-20

-4

6

3

Step-by-step explanation:

I apologize if I get any wrong

Answer:

d = 10 degrees

Step-by-step explanation:

You need to set the two equations equal to each other to solve this question:

(40 + 7) = (5d - 3)

(47) = (5d - 3)

47 = 5d - 3

50 = 5d

10 = d

d = 10 degrees

Answer:

34

Step-by-step explanation:

Answer:

x =± 4

Step-by-step explanation:

Solve for x:

x^2 - 16 = 0

The left hand side factors into a product with two terms:

(x - 4) (x + 4) = 0

Split into two equations:

x - 4 = 0 or x + 4 = 0

Add 4 to both sides:

x = 4 or x + 4 = 0

Subtract 4 from both sides:

Answer: x =± 4

Answer: (x + 3) / (x - 2)(x - 3)(x - 4)

Step-by-step explanation:

The problem given can be viewed as

a/b over c/d

where a/b is the top fraction and c/d is the bottom fraction.

This can be rearranged to

a × d / b × c

So, you will have:

(x + 4)(x + 3) / (x² - 5x + 6)(x² - 16)

Now, factor the two bottom polynomials so you end up with:

(x + 4)(x + 3) / (x - 2)(x - 3)(x + 4)(x - 4)

Cancel the (x + 4) on the top and bottom so you’re left with the answer:

(x + 3) / (x - 2)(x - 3)(x - 4)

If you need to find the solutions to x, set the denominator equal to zero.

x = 2

x = 3

x = 4

Answer:

D. x=6 or x=(-6)

Step-by-step explanation:

if x is in modulus, whatever number you input will yield a positive number.

36 - 3|6| =18

36 - 3|-6|=18

Answer:D. x=6 or x=(-6)

Step-by-step explanation:

if x is in modulus, whatever number you input will yield a positive number.

36 - 3|6| =18

36 - 3|-6|=18

Step-by-step explanation:

The value of the function f(x) = g(x) is [tex]x^2 -8x + 15 = 0[/tex]

Data;

Solving the function above by substitution method, we just need to substitute the values where required and solve.

[tex]f(x) = g(x)[/tex]

Substituting the value,

[tex]x^2 - 7x + 13 = x - 2\\x^2 -7x - x + 13 + 2 = 0\\x^2 -8x + 15 = 0[/tex]

The value of the function f(x) = g(x) is [tex]x^2 -8x + 15 = 0[/tex]

Learn more on functions here;

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Answer:

First option

Step-by-step explanation:

Given the following question:

[tex]\frac{2}{3} y=\frac{1}{4}[/tex]

To find the answer we need to isolate the variable, in order to do that we need to use inverse of operations on this problem.

[tex]\frac{2}{3} y=\frac{1}{4}[/tex]
[tex]3\times\frac{2}{3} =2[/tex]
[tex]\frac{1\times3}{4} =\frac{3}{4}[/tex]
[tex]\frac{2y}{2} =y[/tex]
[tex]\frac{3}{4} \div2=\frac{3}{8}[/tex]
[tex]y=\frac{3}{8}[/tex]

Your answer is "y = 3/8" or the first option.

Hope this helps.

Answer:

x=9

Step-by-step explanation:

5x - 5(3x +13)=0

5x - 3x - 13 - 5 = 0

2x -18= 0

x=18/2

x=9

Answer:

[tex]\boxed{\bold{\huge{\text{ 6307 }}}}[/tex]

Step by step explanation

See attached file.

a) 2/7

There are a total of 14 pairs of socks (4+2+8) so 14 is your denominator.

Then you take however many red socks there are and that is your numerator (4).

Then you simplify. 4/14 ; 2/7

b) 1/4

There are a total of 40 headbands (10+6+24) so 40 is your denominator.

Then you take however many red headbands there are and that is your numerator (10).

Then you simplify, 10/40 ; 2/8 ; 1/4

c) 15/28

You then add 2/7 and 1/4.

Answer:

The correct option is;

R0, 180°

Step-by-step explanation:

The coordinates of ΔXYZ are given as follows;

X(-2, 2), Y(1, 2), Z(0, 4)

The coordinates of ΔX'Y'Z' are given as follows;

X'(2, -2), Y'(-1, -1), Z'(0, -4)

Whereby, the coordinates of the point Y' is (-1, -2), we have the rule that describe the transformation of ΔXYZ to ΔX'Y'Z', given as follows

Coordinates of the preimage = (x, y)

Coordinates of the image = (-x, -y)

Which is in accordance with the transformation by rotation 180° about the origin.

Answer:

b,e

Step-by-step explanation:

Answer:

Monomial expression: a single, non-zero term, with non-negative integer exponents of the variables.

Binomial expression: 2 non-zero unlike terms, joined using arithmetic operators.

Trinomial expression: 3 non-zero unlike terms, joined using arithmetic operators.

Degree:  The number of the highest power.

Leading Coefficient:  The number or quantity placed before the variable of the term with the highest power.

[tex]3x^2+4x+1[/tex]

(Quadratic) Trinomial, degree 2 quadratic, leading coefficient 3

[tex]2x^3[/tex]

Monomial, degree 3 cubic, leading coefficient 2

[tex]x+5[/tex]

Binomial, degree 1 linear, leading coefficient 1

#1

3x^2+4x+1

#2

2x^3

#3

x+5

Answer:

A

Step-by-step explanation:

The first one is -2x + 3

The seconf one is -2x +7

Look, same slope.

Answer:

18

Step-by-step explanation:

-2 · -9 = 18

The two negatives cancel each other out.

It is the same as multiplying 2 · 9 = 18

Hope I helped :)

Please consider Brainliest :)

Answer:

subtract 9 from negative 2 and you will get -11 i hope this was what you were looking for

Step-by-step explanation:

Answer:  i feel that the coorect answer is b

Answer:

<4 ~= <6 - Alternate Interior Angles Theorem

<4 ~= <2 - Vertical Angles Theorem

<6 ~= <2 - Corresponding Angles Theorem

line I || line m - Transitive Property

Answer:

Option (2)

Step-by-step explanation:

From the given set of numbers we have to arrange them in the increasing order.

{[tex]\sqrt{72},9.25,\sqrt{83},\pi^2,8.7[/tex]}

Since, [tex]\sqrt{72}=8.49[/tex]

[tex]\sqrt{83}=9.11[/tex]

[tex]\pi ^2[/tex] = 9.87

Therefore, set of numbers will be in the form of,

{8.49, 9.25, 9.11, 9.87, 8.7}

Now arranging these numbers in the increasing order,

8.49 < 8.7 < 9.11 < 9.25 < 9.87

Therefore, numbers in the increasing order will be,

{[tex]\sqrt{72},8.7,\sqrt{83},9.25,\pi ^{2}[/tex]}

Option (2) will be the answer.

The distance of Saturn from the sun is 9.5 astronomical units.

Orbital period p of a planet and the planet’s distance from the sun, a in astronomical units are related by:

[tex]p = a^{3/2}[/tex]

The orbital period is the time a given astronomical object takes to complete one orbit around the sun.

Given that Saturn's orbital period is 29.5 years.

So, [tex]29.5 = a^{3/2}[/tex]

[tex]a = 29.5^{2/3}[/tex]

a = 9.5 au

Therefore, the distance of Saturn from the sun is 9.5 astronomical units.

To get more about the orbital period visit:

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Answer:

He got one wrong.

Step-by-step explanation:

I did the same thing recently.

Answer:

-2,-1, -.95, -.1, 4, 5

Step-by-step explanation:

im guessing the - on the top of the numbers is supposed to be a negative in front of the numbers, and if so that is what it would be.