Romeo bought a mixture of 20-cent, 35-cent,
and 50-cent valentines. The number of 20-cent
valentines was 1 more than twice the number of
35-cent valentines, and the number of 50-cent
valentines was 2 less than the number of
35-cent ones. If he spent $4.20 all together,
how many valentines of each kind did he buy?

Answers

Answer 1

9514 1404 393

Answer:

20-cent: 935-cent: 450-cent: 2

Step-by-step explanation:

Let x, y, z represent the numbers of 20-cent, 35-cent, and 50-cent valentines. Then the given relations can be written as ...

  x = 1 +2y

  z = -2 +y

  0.20x +0.35y +0.50z = 4.20

__

Using the first two equations to substitute for x and y in the third equation, we get ...

  0.20(1 +2y) +0.35y +0.50(-2 +y) = 4.20

  1.25y -0.80 = 4.20 . . . . . simplify

  1.25y = 5.00 . . . . . . . . . . add 0.80

  y = 4 . . . . . . . . . . . . . . . divide by 1.25

  x = 1 +2(4) = 9

  z = -2 +4 = 2

Romeo bought 9 20-cent, 4 35-cent, and 2 50-cent valentines.


Related Questions

I give brainlist helPPPPPP

Answers

Answer:

Step-by-step explanation:

25.57, 123/5, 49/2, 241/10

Amy scheduled herself from 7am-1pm on Sunday through Wednesday. She need to release 10am to 12pm at the last minute. She serviced all of other time for which she posted. What was her overall committed adherence percentage?

Answers

Answer:

Step-by-step explanation:

Money

Get away

You get a good job with good pay and you're okay

Money

It's a gas

Grab that cash with both hands and make a stash

New car, caviar, four star daydream

Think I'll buy me a football team

Money

Well, get back

I'm all right Jack

Keep your hands off of my stack

Money

It's a hit

I'm in the high-fidelity first class travelling set

I think I need a Lear jet

PLEASE HELP ASAP

in a sample of people on the school board 2 out of 5 were in favor of a new high school being built. if 3,500 people vote in the new local election approximatelyhow how many would vote aginst the new high school being built?

Answers

Answer:

2,100 people

Step-by-step explanation:

~Divide to find the number of people in fifths

3,500 / 5 = 700

~Multiply to find 2/5 of the total people

700 * 2 = 1,400

~Subtract to find the number of people against building the school.

3,500 - 1,400 = 2,100

Best of Luck!

Answers will be auto-submitted when time expires.
1. Answer the question below. (1 point)
Which function is quadratic?
A
X
O
1
2
6
3
0
у
18
12
0
B
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-3
-1
-2
1
-1
3
5
y
C
८x
-2
4
0
0
2
4
4
16
D
X
1
5
2
7
3
9
4
11
y
Ο Α

Answers

Answer:

Try taking a screen shot as this is indecipherable.

Step-by-step explanation:

When d the product of 6 and 6 is divided by the sum of 6 and 6 what is the quotient? Explain.

Answers

Hope it helps! If it is, Brainliest please!

Bernadette is a goalie and blocks the goal 20 out of 32 times. What is the experimental probability that Bernadette will block the goal on the next kick? Write your answer as a fraction, decimal, and percent.

Answers

Answer:

5/8 or 0.625 or 62.5%.

Step-by-step explanation:

20/32       Divide top and bottom by 4:-

= 5/8.

Help Help Help Help Help Help

Answers

Answer:

what happened are you OK

a long distance runner ran 10,000 meters in 28mins.work out his speed in (a)meters/min B. meters/sec​

Answers

answer:

Times it or multiply to get 2800000 then It should be B meter's by seconds.

Step-by-step explanation:

if 5-3(2a+1)=-4+10, what is the value of a+2​

Answers

[tex]\\ \rm\Rrightarrow 5-3(2a+1)=-4+10[/tex]

[tex]\\ \rm\Rrightarrow 5-6a-3=6[/tex]

[tex]\\ \rm\Rrightarrow -6a+2=6[/tex]

[tex]\\ \rm\Rrightarrow -6a=6-2[/tex]

[tex]\\ \rm\Rrightarrow -6a=4[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{4}{-6}[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{2}{-3}[/tex]

Now

[tex]\\ \rm\Rrightarrow a+2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2}{-3}+2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2-6}{-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-4}{-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4}{3}[/tex]

Answer:

7/3

Step-by-step explanation:

5 - 3(2a+1) = -4 + 10

=> 5 - 6a + 3 = 6

=> 5 - 6 + 3 = 6a

=> 2 = 6a

=> 6a = 2

=> a = 2/6

=> a = 1/3

a + 2

1/3 + 2

=> 1/3 + 6/3

=> 7/3

Here’s the whole thing only posted half

Answers

Answer:

48 49 51 53 58

Step-by-step explanation:

48×2= 96 so 49 51 53 and 58 are greater hope this helps:)

-15 + 8x = x + 3
STEP BY STEP

Answers

[tex] - 15 + 8x = x + 3 \\ 8x - x = 3 + 15 \\ 7x = 18 \\ \\ x = \frac{18}{7} \\ \\ x = 2.571[/tex]

We put the unknown on one side, and the other end is empty of the unknown , When it turns to the other side, its sign changes.

As for the number with the unknown, it becomes the denominator with the number without the unknown.

I hope I helped you^_^

Each row in A parking lot has 15 spaces. How many spaces could be in the parking lot. Give 5 possibilities. PLS HELP ME PLS

Answers

Answer: 30, 45, 60, 75, 90

Step-by-step explanation: you will use multiples of 15 to find the answer. Detail given below:

1. if parking lot have 2 rows then 30 spaces

2. if parking lot have 3 rows then 45 spaces

3. if parking lot have 4 rows then 60 spaces

4. if parking lot have 5 rows then 75 spaces

5. if parking lot have 6 rows then 90 spaces

Can anyone help me out with this? (recursive formulas)

Answers

Step-by-step explanation:

[tex]b(1) = 4[/tex]

Since this is an arithmetic sequence, notice that if you subtract b(1) (i.e., 4) from b(2)(i.e., 22), you get 18. Likewise, if you subtract b(2) from b(3) you also get 18. Therefore,

[tex]b(n) = b(n-1) + 18[/tex]

A lawn in the shape of a trapezoid has an area of 1,800 square meters. The length of one base is 50 meters, and the length of the other base is 40 meters. What is the width of the lawn?​

Answers

9514 1404 393

Answer:

  40 m

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2(b1 +b2)h

Using the given values, we can find h to be ...

  1800 = 1/2(50 +40)h

  3600 = 90h . . . . . . . . . multiply by 2

  40 = h . . . . . . . . . . . divide by 90

The width of the lawn is 40 meters.

Choose all that give a level of accuracy appropriate for situation.

The distance for a flight from Georgia to Texas to the nearest mile.

Measuring how long the large mouth bass you caught while fishing to the nearest foot.

The number of party favors needed for a birthday party by the whole number.

The volume of water in a water bottle to the nearest fluid Ounce.

The cost of new laptop plus tax calculated to the nearest tenth.

Answers

Using unit measurement concepts, it is found that the correct options are:

The distance for a flight from Georgia to Texas to the nearest mile.Measuring how long the large mouth bass you caught while fishing to the nearest foot.  The number of party favors needed for a birthday party by the whole number.The cost of new laptop plus tax calculated to the nearest tenth.  

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

When measurements are made, the unit used is a big consideration, to give accuracy to the measurement. For example, measuring a person's height is kilometres would not give an accurate representation.

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

In the first option, for distance between cities or states, miles is the most widely used metric, so this option is correct.In the second option, heights of mouth bass are usually measured in inches, which is easily converted to feet(dividing by 12), and thus, this option is correct.In the third option, for each person, there is usually a favor, thus, whole number is an accurate metric, and this option is correct.In the fourth option, volume of water is usually measured in liters, and fluid ounces are way smaller than liters, thus not giving an accurate representation.In the fifth option, costs of products, especially expensive products such as laptops, are rounded to the nearest tenth, and thus, this option is correct.

A similar problem is given at https://brainly.com/question/16563559

union and intersection of sets

Answers

Answer:

The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B. The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.

Answer:

Union

The union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as A∪B. For example, if A is the set {♢,♡,♣,♠} and B is the set {△,♡,♠}, then A∪B={♢,♡,♣,♠,△}.

Intersection

Intersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both A and B. The symbol for denoting intersection of sets is '∩'.

Write the number in expanded form 68,020

Answers

Answer:

hope it is helpful

Step-by-step explanation:

68,020-

6= 60,000

8= 8,000

0=0

2= 20

0=0

Select the best answer for the question.
14. What is the value of 3(-9) +6 |-6|?
A. -63
O B. 27
O C. 9
D. 63
O Mark for review (Will be highlighted on the review

Answers

Answer:

9 is the correct answer

hope that it will help you

PLEASE HELP

X/2-7=9

Show your work in details if you can, I have a hard time understanding this.

Answers

I’m not very good at math but here’s my reasoning:
x/2-7=9
I moved the 7 to the other side of the equation
So now
X/2 = 9 + 7
X/2 = 16
Since x is equal 16 if you divide x by 2 (because x/2=16), that means if you want to find x you need to multiply x by 2
X = 16 x 2
X = 32
I hope it’s right !! <3

Answer:

Step-by-step explanation:

x/2  - 7 = 9                  Add 7 to both sides

      +7     7

x/2 = 16                        Multiply both sides by 2

2*x/2 = 16*2        

x = 32

You are at about the second stage of solving equations. So far what you should know is that you should add or subtract before doing multiplication or division.

Take a much simpler question

x - 8 = 10        What do you do here? You can't multiply or divide. So add

  +8    8

x    =    18

Now try what you have

2x - 5 = 11                      Add before multiplication or division

    5      5

2x = 16                          Divide by 2

2x/2 = 16/2

x = 8

In the word problem below, what answer or solution are you being asked to
find?
STEP 2: PLAN
The entire school, 250 students, went to the soap
box derby. The Math Club went in 2 vans, and
each van held 6 students. How many students
from the Math Club went to the soap box derby?
O A. 6-2=?
O B. 6 + 2 = ?
O C. 6 x 2 = ?
O D. 6 - 2 = ?

Answers

Answer:

the answer is C 6x2 .....................

The sum of a number and 3 is 6 less than twice that number.

Solve

Answers

Answer:

there are two operation end modes [ = , < ]

so, it remains an expression

Step-by-step explanation:

let the number be x :

[tex] \{(n + 3) = 6 \} < 2n[/tex]

The solution of the written expression, ''The sum of a number and 3 is 6 less than twice that number'' is 9.

Here,

The written expression, ''The sum of a number and 3 is 6 less than twice that number''.

We have to solve this expression.

What is Mathematical expression?

An expression consists of one or more numbers or variables along with one more operation.

Now,

Let a number is x.

By the given written expression, we can write the mathematical expression as,

x + 3 = 2x - 6

By solving;

x + 3 = 2x - 6

3 + 6 = 2x - x

9 = x

x = 9

Hence, the value of written expression is x.

Learn more about the mathematical expression visit:

https://brainly.com/question/1859113

#SPJ2

what is into relation with suitable example​

Answers

Answer:

the relation between the x-values and y-values of ordered pairs

Let f(x) = x - 2 and g(x) = x2 – x. Find and simplify the expression.
(f+g)(-3)

Answers

Answer:

f+g = (x-2)+(x²-x)

= x²-2

(f+g)(-3) = -3(x²-2)

-3x²+6

Step-by-step explanation:

follow the expression (f+g)(-3)

Please help me I nned help

Answers

Answer:

length*breadth*height

find the y-intercept and x-intercept of the line. 2x+3y= -14

Answers

Answer:

X-intercept: (-7, 0)

Y-intercept: (0, -14/4)

Step-by-step explanation:

To find the intercepts plugin 0 for one variable and solve

2x+3(0)=-14

x=-7

2(0)+3y=-14

y=-14/3

Help please due today

Answers

The copy is the exact same as the original, so the scale factor would be 1.

The answer is the first choice

Evaluate the expression

Answers

Step-by-step explanation:

this is correct answer thank you

Reduce 6x /12x is it 1/2

Answers

Answer:

tero bau ko tauko got it sjdhhrurjrbr

Answer:

LHS=6x/12x=6/12=1/2

RHS=1/2

LHS=RHS

what is the length of an arc subtended by an angle of 1.25 radians in a circle with a diameter of 24 cm?​

Answers

Answer:

15 cm.

Step-by-step explanation:

Recall that the arc-length of a circle is given by the formula:

[tex]\displaystyle s = r\theta[/tex]

Where r is the radius and θ is the measure of the central angle in radians.

The circle has a diameter of 24 cm, so its radius is 12 cm.

And its central angle is 1.25 radians. Hence, the arc-length will be:

[tex]\displaystyle s = \left(12\right)\left(1.25\right) = 15\text{ cm}[/tex]

In conclusion, the arc-length for a circle with a diameter of 24 cm subtended by a central angle of 1.25 radians is 15 cm.

4. Tabatha is dining out at Mandee's and decides to get an order of curly fries,
chicken fingers, and a coca-cola. The total cost of the food with sales tax came to
$18.61. If Tabatha decides to give the cashier a 20% gratuity (tip), what does her
total bill come to?

Answers

$22.33
I would find 10% of 18.61
18.61 = 1.86 and multiply by 2 and add to 18.61
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