4)
Ben, Joe and Alex bought flowers for their girlfriends at the same store.
Ben bought 5 roses, 8 daisies, and 2 carnations for $14.50. Alex bought
3 roses, 12 daisies, and 1 carnation for $14.00. Joe bought 10 roses, 1 daisy
and 3 carnations for $17.25. How much was one rose and one carnation?
rose:
carnation:

Answers

Answer 1

Answer:

1 rose cost $1.5

1 carnation cost $0.5

Step-by-step explanation:

Let the price for one rose be r, price for one daisies be d and the price for one carnation be c

For Ben;

5r + 8d + 2c = 14.5

For Alex

3r + 12d + c = 14

For Joe

10r + d + 3c = 17.25

From equation iii;

d = 17.25- 10r - 3c

Insert this into the first two equations;

5r + 8(17.25-10r-3c) + 2c = 14.5

5r + 138 - 80r -24c + 2c = 14.5

-75r -22c = -123.5

Thus;

75r + 22c = 123.5

Insert the formula for d in the second equation;

3r + 12(17.25-10r-3c) + c = 14

3r + 207 - 120r -36c + c = 14

-117r-35c = 14-207

117r + 35c = 193

So we have two equations to solve simultaneously;

75r + 22c = 123.5

117r + 35c = 193

Multiply first equation by 35 and second by 22

2625r + 770c = 4322.5

2574r + 780c = 4246

Subtract second from first

51r = 76.5

r = 76.5/51

r = 1.5

Insert this in the equation below;

75r + 22c = 123.5

75(1.5) + 22c = 123.5

112.5 + 22c = 123.5

22c = 123.5-112.5

22c = 11

c = 11/22

c = 0.5


Related Questions

Solve the following problem: 892 ÷ 4 = ? *
\

Answers

Answer:

223

Step-by-step explanation:

hope it helps!!!!......

Answer:

223

Step-by-step explanation:

892 ÷ 4 = 223

Can i get brainliest? plz!

Determine the type of triangle that is drawn below. ASAP

Answers

Answer:

scalene acute

Step-by-step explanation:

all side are different and all angles are acute

Answer:

The answer is scalene acute

Find the missing factor D that makes the equality true.
– 15y4 = (D)(3y?)

Answers

Answer:

[tex]-15y^{4} = D(3y^{2})\\-15y^{4}/3y^{2} = -5y^{2} \\D = -5y^{2}[/tex]

Step-by-step explanation:

The local high school sold 1914 tickets this year to its spring musical. That was 174 more tickets sold than last year. What is the percent increase in the number of tickets sold?

Answers

Answer:

.909 (ROUNDED)

Step-by-step explanation:

In order to do this all you need to do is divide the number with the number you got this year, 1914, and with the number last year.

1914-174=1740

1740 was the amount they got last year

Now you want to find the percent difference between the two.

1740/1914=.909090 (Repeats)

So the percent increase would be

.909090

.101010

Mrs. Adams paid $33.60 for 3.2 pounds of Hawaiian coffee beans. What is the price per pound of the coffee beans?

Answers

Answer:

$10.5

Step-by-step explanation:

33.6/3.2(that is unit price formula total by one) which is 10.5

Hope this helps plz mark brainliest :D

Which of the following algebraic expression represents the sum of 6 and one-fifth of x?
A.
6.2x

B.
0.2 + 6x

C.
6 + 0.2x

D.
(6 + x)0.2

Answers

Answer:

C. 6 + 0.2x

Step-by-step explanation:

6 + 1/5 x = 6 + 0.2x

Answer:

c

Step-by-step explanation:

even tho you called my question thicc..

It took Jodi 4 hours to run 2/3 miles. How many miles will Jodi run if he runs for 2 hours?

Answers

Answer:
She run 1/3 in 2 hours

Explanation
Divide 2/3

please help asap
is x= -3 what is the value of |x-4|-x^2
thank you

Answers

Answer:

16

check your math

|(-3)-4|=7

-3^2=-9

7-(-9)=16

welcome <3

Simplify the expression:
7p+6q-2p+q

Answers

Answer:

5p+7q

Step-by-step explanation:

Answer:

5p+7q

Step-by-step explanation:

You add common terms together.

(7p-2p)+(6q+q)

5p+7q

Hope I helped!

Rearrange to make x the subject: 3x+8= has x+6y

Answers

Answer:

x=3y-4

Step-by-step explanation:

3x+8=x+6y

so the goal here is to make everything equal to x. first, let's move all the X's to one side by subtracting x on both sides.

2x+8=6y

now we want x alone on one side so we subtract 8 on both sides.

2x=6y-8

divide by 2

x=3y-4

Answer:

x = 3y - 4

Step-by-step explanation:

Given

3x + 8 = x + 6y ( subtract x from both sides )

2x + 8 = 6y ( subtract 8 from both sides )

2x = 6y - 8 ( divide all terms by 2 )

x = 3y - 4

Noah bought 4 tacos and paid $6. At this rate, how many tacos could he buy for $15?

Answers

Answer:

10

Step-by-step explanation:

each taco is 1.50$ 15$ divided by 1.50$ is 10

Answer:

He can buy 10 tacos with $15.

Step-by-step explanation:

You can do a cross multiplication process. Think in this way:

If he buys 4 tacos for $6, then how many tacos can he get in $15? When you do the cross multiplication process, you'll find that he can get 10 tacos with $15.

Mrs. Reyes asked 3 girls and 4 boys to help with a project. She had each student make 8 paper airplanes. Drag steps to show how to find the total number of airplanes.

Answers

Answer:

56

Step-by-step explanation:

Given that:

Number of girls = 3

Number of boys = 4

Each student makes 8 paper airplanes.

To find:

The total number of airplanes = ?

Solution:

There can be two ways to find the total number of airplanes.

Method 1:

Keep on adding the number of airplanes for each student.

There are a total of 3+4 = 7 number of students.

First student makes = 8 airplanes

Second student makes = 8 airplanes

Third student makes = 8 airplanes

Fourth student makes = 8 airplanes

Fifth student makes = 8 airplanes

Sixth student makes = 8 airplanes

Seventh student makes = 8 airplanes

Total number of airplanes = 8 + 8 + 8 + 8 + 8 + 8 + 8 = 56

Method 2:

Simply multiply number of airplanes each student makes with the number of students.

i.e. 8 [tex]\times[/tex] 7 = 56

1c) What is 25% of 40?
8.5

Answers

25% of 40

=25/100×40

=0.25×40

=10 answer.

-5(3x+6)=-3(4x-2) Solve for x please! Show work to prove your answer.

Answers

Answer:

x = -12

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

Jillian has a coin purse filled with quarters and dimes. She has a total of 21 coins.
All of the coins together have a value of $3.45. How many dimes does Jillian have?
o 7 dimes
o 9 dimes
o 12 dimes
o 14 dimes
SUBMIT RESPONSE

Answers

Answer:

12 dimes

Step-by-step explanation:

1 dollar= 4 quarters

1 dime=10 cents

3.45-1.20=2.25

2 dollars= 8 quarters

2.25-2.20=.25

1 quarter=.25

SOOOO your answer is 12 dimes

Pls factorise x²-7x+12

Answers

Step-by-step explanation: The first thing you're going to probably

try to do here is to factor out a greatest common factor.

The problem is, there is no factor that is in common

to all three of these terms so you may think it's unfactorable.

However, this trinomial is in a special form.

We have an x squared term, an x term, and a constant term.

When a trinomial is in this form, it can be

factored as the product of two binomials.

So start by setting up two sets of parentheses.

Inside each set, we will have the two terms that compose each binomial.

So we have (    )(    ).

The first term is a factor of the x² term, x · x.

For the second term, we need factors of 12 that add to -7.

Since the middle term is negative, we use the negative factors of 12.

Notice that -4 and -3 add to -7 and multiply to be 12.

So our answer is (x - 4)(x - 3).

Can anyone help?
The question says to expand and simplify it but i dont know how.

Answers

Answer:

3x+14

Step-by-step explanation:

remove parenthses

6x+8-3x+6

3x+14

Answer:

3x+14

Step-by-step explanation:

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

6x+8-3x+6

3x+14

PLEASE HELP ME ANSWER NOW!!!! 15 POINTS

Answers

Answer:

x = 4

Step-by-step explanation:

6x + 4 = 12x - 20

x = 4

Eric plots points showing equivalent ratios on the coordinate plane below.

What is true about the relationship between the four points?
The points form a curve.
The points form a straight line.
The points are randomly scattered.
The points do not show any relationship.

Answers

Answer: The points form a straight line.

Step-by-step explanation:

3(2m-3)=5(m+1) What is the value of m

Answers

6m - 9 = 5m + 5
6 x 14 - 9 = 75
5 x 14 + 5 = 75
m = 14

Answer:

14!

Step-by-step explanation:

3(2m-3)=5(m+1)

Step 1: 6m-9 = 5m + 5

Step 2 : Add 9 to -9 and 5

6m= 5m+14

Step 3: Subtract 5m from 6 and 14

Simplify!

m=14

Order the rational numbers from least to greatest. 4.41, 4.14, 4.1, 4 1/5, 17/4

Answers

Answer:

4.1, 4.14, 4 1/5, 17/4, 4.41

The veterinarlan told Sally that her cat needs to lose 5 pounds. A healthy weight loss for her cat would be about 1 pound every 2 weeks. To model this situation, she graphed the following line, where y represents the number of pounds left to lose and x represents time in weeks. The equation for this line is y= ___x +___. If she continues the line, she would see that it would take ___ weeks for her cat to lose 5 pounds​

Answers

Answer:

it would take the adverage of 10 weeks for her to lose 5 pounds did that help?

Step-by-step explanation:

Please solve: (in a hurry)
will name the brainliest!!!
include steps!

Answers

Answer:

Step-by-step explanation:

Which statement is true about f(x) = -2/3|x+4|-6?
O The graph of f(x) has a vertex of (-4, 6).
O The graph of f(x) is a horizontal stretch of the graph of the parent function.
O The graph of f(x) opens upward.
O The graph of f(x) has a domain of x 5-6.

Answers

b. the graph of f(x) is a horizontal stretch of the graph of the parent function.

The True statement is

The graph of f(x) is a horizontal stretch of the graph of the parent function.

What is Function?

In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependant one (the dependent variable).

We have,

f(x) = -2/3 |x+4| - 6

So, -2/3 |x+4| - 6 = 0

-2/3 |x+4| = 6

|x+4| = -9

so, the vertex is not (-4, 6).

Here the -6 in the function shows the horizontal stretch.

Learn more about Function here:

https://brainly.com/question/12431044

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Write an expression
Your cellphone costs $0.50 for the first minute and $0.35 for
each additional minute.

Answers

Answer:

0.50+0.35x

Step-by-step explanation:

Answer:

0.5+0.35m

Step-by-step explanation:

A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka’s shadow. include all labels.

Answers

Answer:

8 meters

Step-by-step explanation:

This means that the shadows at this time is twice as tall as normal.

4*2=8

Luka's shadow is 8 meters tall.

Solve the following equation by the quadratic formula. 9x 4 + 5x 2 - 4 = 0 {±2/3, ±1} {±2/3, ±i} {±4/9, ±1}

Answers

The solution of the equation by the quadratic formula are, {±2/3, ±i}

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ 9x⁴ + 5x² - 4 = 0

Now, Put x² = y in above equation, we get;

⇒ 9y² + 5y - 4 = 0

Bu using quadratic formula as;

⇒ y = - 5 ± √5² - 4×9×- 4 / 2×9

⇒ y = - 5 ± √25 + 144 / 18

⇒ y = - 5 ± √169 / 18

⇒ y = - 5 ± 13 / 18

This gives two solution,

⇒ y = - 5 + 13 / 18

⇒ y = 8/18

⇒ y = 4/9

⇒ x² = 4/9

⇒ x = ±2/3

And, y = - 5 - 13 / 18

⇒ y = - 18 / 18

⇒ y = - 1

⇒ x² = - 1

⇒ x = ±i

Thus, The solution of the equation are {±2/3, ±i}.

Learn more about the quadratic equation visit:

brainly.com/question/1214333

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If JKLM is a trapezoid, which statements must be true? Check all that apply.
A. JK=~KL
B. J is congruent to M.
DC. JK is parallel to LM.
I D. J is congruent to K.
E. KL is parallel to JM.
OF Jis supplementary to K.

Answers

is there a picture to go with this question?

JKLM is a trapezoid. Statements A and E are correct.

What is the definition of geometry?

It is concerned with the geometry, region, and density of various 2D and 3D shapes. There are two parallel sides and two non-parallel sides to a trapezoid.

These are the actual statements:

(a) J is supplementary to K

(e) KL is parallel to JM

Hence, statements A and E are correct.

To learn more about geometry, refer to

https://brainly.com/question/7558603.

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Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = (x - 5)(5x + 2)
lesser x =
greater x =

Answers

Answer:

lesser x = -2/5

greater x = 5

Step-by-step explanation:

Answer:

-2/5 and 5

Step-by-step explanation:

i got khan

Determine the value of X.

Answers

Answer:

25

Step-by-step explanation:

8x-20=180

8x=200

x=25

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