A souvenir shop sells two sizes of American flags. Small flags cost $3.50 and large flags cost $6.50. On a recent day, 155 flags were sold and $683.50 was collected. How many flags of each size were sold that day?

Answers

Answer 1

Answer:

Small flags = 108

large flags= 47

Step-by-step explanation:

Step one:

given

let the number of small lag be x

and big flags be y

so

3.5x+6.5y= 683.5----------1

x+y=155------------------------2

Step two:

from eqn 2 x= 155-y

put x= 155-y in  eqn 1

3.5(155-y)+6.5y= 683.5

542.5-3.5y+6.5y=683.5

collect like terms

3y=141

divide by 3

y= 141/3

y=47

Step three:

put y= 47 in eqn 2

x+47=155

x= 155-47

x=108


Related Questions

1. Calculate the value of x in the following diagram. 53 - Y IN Q 5x 18​

Answers

Answer:

x = 7

Step-by-step explanation:

QY = 5x

YZ = 18

QZ = 53

Thus:

QY + YZ = QZ (segment addition postulate)

5x + 18 = 53

5x = 53 - 18 (subtraction property of equality)

5x = 35

Divide both sides by 5

x = 7

HELP PLEASEEE. Write in slope intercept form
5x - 3y = -9
a. y = 5/3x - 3
b. y = 3/5x + 3
c. y = 5/3x + 9
d. y = 5/3x +3

Answers

Answer:

d

Step-by-step explanation:

i think it D im not tooo sure

A flagpole casts a 40-foot shadow. The angle of elevation from the tip of the
shadow to the tip of the flagpole is 34. How tall is the flagpole? Round your
answer to the nearest foot.
A. 29 feet
B. 22 feet
C. 27 feet
D. 33 feet

Answers

Answer:

27 Feet is the answer. Option C.

The flagpole is 27 feet tall.

What is right triangle?

"It is a triangle whose one of the angle measures 90° "

What is tangent of angle?

For angle [tex]\theta[/tex], [tex]tan(\theta)=\frac{opposite ~side~of~angle~\theta}{adjecent~side~of~angle~\theta}[/tex]

What is angle of elevation?

"An angle that is formed between the horizontal line and the line of sight. "

For given question,

Consider the following diagram.

Here, AB = the flagpole,

A flagpole casts a 40-foot shadow.

so, BC = 40 foot

The angle of elevation from the tip of the shadow to the tip of the flagpole is 34°.

⇒ ∠ACB = 34°

We need to find the height of the flagpole.

We find the tan of angle 34°

[tex]\Rightarrow tan(34)=\frac{AB}{BC}\\\\ \Rightarrow 0.6745=\frac{AB}{40}\\\\\Rightarrow AB=0.6745\times 40\\\\\Rightarrow AB = 26.98\\\\\Rightarrow AB\approx 27~feet[/tex]

Therefore, the flagpole is 27 feet tall.

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A jar has twenty-three coins consisting of dimes and nickels. The total amount of money is $1.90. How many dimes and nickels are there?

Answers

Answer:

8 nickels=.40

15 dimes=1.50

The number of dimes is 15 and the number of nickels is 8.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A container has 23 coins comprising dimes and nickels. The aggregate sum of cash is $1.90.

Let d be the number of dimes and n be the number of nickels. Then the equation is given as,

d + n = 23                           ...1

0.1d + 0.05n = 1.90            ...2

From equations 1 and 2, then we have

0.1(23 - n) + 0.05n = 1.90

2.3 - 0.1n + 0.05n = 1.9

0.05n = 0.4

n = 8

Then the number of dimes is given as,

d + 8 = 23

d = 23 - 8

d = 15

The number of dimes is 15 and the number of nickels is 8.

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A hairdresser receives a discount on each comb purchased. The original price of each comb is x dollars. The hairdresser purchases 15 combs for a total of (15x-45) dollars. By how much is each comb discounted?

Answers

Answer:

$3

Step-by-step explanation:

Given that:

Price of each comb = $[tex]x[/tex]

15 combs were purchased in = $[tex](15x-45)[/tex]

To find:

Amount of discount offered on each comb.

Solution:

First of all, let us calculate the price of 15 combs at the price of $[tex]x[/tex] each.

Original Price of 15 combs = Price of one comb [tex]\times[/tex] Number of combs = $15[tex]x[/tex]

Now, there is some discount provided on the purchase of 15 combs.

Discount offered on 15 combs = Original price of 15 combs - Discounted price of 15 combs = [tex]15x- (15x-45)[/tex] = $45

Discount offered on each comb = Discount on 15 combs divided by 15

Discount offered on each comb = [tex]\frac{45}{15}[/tex] = $3

The list below shows the different choices of pizka at the local pizza shop:
- pepperoni: 4
- supreme: 7
- cheese: 6
- Hawaiian: 3
Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?

Answers

hmmm i’m gonna say you’re mostly likely not gonna like that pizza because it is the least picked pizza.

Answer:

   

Step-by-step explanation:

   

the factory produces 115 items an hour. Write an equation that shows the relationship between hours x and items y plz help

Answers

Answer:

115x=y

Step-by-step explanation:

Where are earthquakes most likely to occur?
10 points
in the middle of a tectonic plate
where plates slides past each other
where plates pull apart from each other
at hot spots

Answers

Most earthquakes occur along the edge of the oceanic and continental plates.  So, when they slide past each other. Many think it's when they pull apart but that has mixed results.

Given quadrilateral ABCD is congruent to Quadrilateral A'B'C'D', What is the measure of B'C'?

2in
14in
18in
6in

Answers

The measure of B’C’ is 18 inches

1. Solve 6(x - 2) = 2(x + 12).

Answers

Answer:ok so. X= 9.

Step-by-step explanation: Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): Dot was discarded near ").".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

6*(x-2)-(2*(x+12))=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

(6 • (x - 2)) - 2 • (x + 12) = 0

STEP

2

:

Equation at the end of step 2

6 • (x - 2) - 2 • (x + 12) = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

4x - 36 = 4 • (x - 9)

Equation at the end of step

4

:

4 • (x - 9) = 0

STEP

5

:

Equations which are never true:

5.1 Solve : 4 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2 Solve : x-9 = 0

Add 9 to both sides of the equation :

x = 9

One solution was found :

x = 9

here you go

Answer:

6x-12=2x+24

combine like terms

4x-12=24

add 12 on both sides

4x=36

divide by 4

answer is:x=9

Step-by-step explanation:

Are the given lines parallel?
y = 1, and y = 5

Answers

Both of the lines have slope of 0, they will both be a straight horizontal line

Yes, they will be parallel

Stephanie has a total of 27 nickels and dimes. The total value of the coins is $1.95. Which system of equations can be used to find the number of nickels(n), and the number of dimes(d), that Stephanie has?

A. n+d=27
0.05n+0.10d=1.95
B. n+d=27
5n+10d=1.95
C. n+d=27
0.5n+0.10d=1.95
D. n+d=27
0.15(n+d)=1.95

Answers

The correct equation to use is A. n+d=27 0.05n+0.10d=1.95

Given the numbers: 6 6 7 7 7 8 8 8 8 9 and
choosing a number at random from the list, what is
the probability that the number is 8?

Answers

Answer:

[tex]\frac{4}{10} =\frac{2}{5}[/tex]

Step-by-step explanation:


Help!- How dilations are used in everyday life ? How about similarity transformations ?? How are they meaningful

Answers

Answer: Dilations can be used in architecture in order to make a sample of their final design. They must dilate the scale and measurements to match to their sample.

A you tube plugg in: please check : (

If you could please check out our you tube channel, Evimero Academy

Thank you so much and have a wonderful day

Determine whether the following graph represents a function

Answers

Yes because it has only one y intercept

Step-by-step explanation:

Anything that has more than one y intercept isn't function.

Answer:

Yes

Step-by-step explanation:

the function doesnt go straight up, you cant have the same x coordinate, it doesnt work out

....................

Answers

okkkkkkkkkkkkkkkkkkkkkkkkkkkk

can yall do the work of the answer 60 to this

Answers

9514 1404 393

Answer:

  ? = 60°

Step-by-step explanation:

Make use of the fact that an inscribed angle has half the measure of the intercepted arc. Another way to say this is that the intercepted arc is twice the measure of the inscribed angle.

Arc FGH will be twice the measure of angle FVH, so we have ...

  FG +168° = 2(119°)

  FG = 238° -168° = 70°

Similarly, arc VFG is twice the measure of angle VHG:

  ? +FG = 2(65°)

  ? +70° = 130° . . . . . substitute value found for arc FG

  ? = 130° -70° . . . . .  subtract 70°

  ? = 60°

Solve for x???????????

Answers

Answer:

x=11.7

Step-by-step explanation:

When every you have a straight line with a transversal, the line going through the straight line, the two angles will add up to 180.

180=10x+2+5x+3 ---> combine like terms

180=15x+5 ---> subtract 5 to the other side

175=15x ---> divide 15 to the other side

x=11.7

HELPP ASAPPPPP

Evaluate ym if y=5 and m=4

Answers

Answer:

20

Step-by-step explanation:

ym

If y=5 and m= 4, then plug in both values and multiply 5 x 4. This equals to 20.

The answer is 20 tttttttttt

The cell phone plan from Company C costs $15 per month, plus $12 per gigabyte for data used. The plan from Company D costs $75 per month, with unlimited data. Rule C gives the monthly cost, in dollars, of using gigabytes of data on Company C’s plan. Rule gives the monthly cost, in dollars, of using gigabytes of data on Company D’s plan.

Sara wants to know what company to go with if her average gigabyte usage is 7 gigabytes per month. Explain which plan she should use, Company C or D? Make sure you support your choice with mathematical evidence.

Answers

Answer: Company D
Step by step explanation:
First we need to figure out how much money it would be for company C. If it is $15 per month and $12 per gigabytes used. We would set up and equation that would look like 15 + 12g (g= gigabyte used) and in this case we would substitute G for 7 which would look like 15 +12(7), 15 + 84= $99. Meaning that if Sara were to go with Company c she would be spending $99. Not we would solve for Company D, there is not much to solve for Company D considering that it is only $75 a month and includes unlimited data. If Sara were to go with Company C she would be spending $24 more than sue if she were to choose company D.
Hope this helps!
Please tell me if I am incorrect, I enjoy learning from my mistakes!
Good luck❤️

Thomas was selling tickets to his school play. The tickets cost $5.00 for adults and $2.00 for children. He sold 200 tickets
and collected $610. Which system represents the number of adult and child tickets that Thomas sold?
O x+y=200
5x+2y= 610
o
X+y=610
5x+2y= 200
O x=
X+ y = 200
x+2y=610
O x+y= 200
5x+y=610

Answers

Answer:

I believe the answer is A

Step-by-step explanation:

on edge

The required system of equations represents the number of adult and child tickets that Thomas sold is x + y = 210 and 5x + 2y = 610. Option A is correct.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the number of adult tickets is x and the number of children's tickets be y,
According to the quesiton,
The tickets cost $5.00 for adults and $2.00 for children. He sold 200 tickets and collected $610.

So equaiton models as,
x + y = 210
5x + 2y = 610

Thus, the required system of equations represents the number of adult and child tickets that Thomas sold is x + y = 210 and 5x + 2y = 610. Option A is correct.

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What is the value of the expression 10 25 32 64​

Answers

Answer:

its 10

Step-by-step explanation:

2x5=10 or 2+2+2+2+2=10

Answer:

it is 32

Step-by-step explanation:

2x2x2x2x2=32

20. A community is having a Taste of the Town event featuring dishes from the area’s best restaurants. The cost of admission is $25 in advance and $35 at the door. There are x people who pay in advance. A total or 530 tickets are sold. Which equation can be used to find the total amount, s, of money from ticket sales?

Answers

Answer:

18550 - 10x

Step-by-step explanation:

Given that :

Cost of admission in Advance = $25

Cost of admission at the door = $35

Number of people who paid in advance = x

Total number of tickets sold = 530

Total amount made from ticket sales will be :

(Number who paid in advance * cost) + (number who paid at the door * cost)

(25 * x) + (530 - x) * 35

25x + 18550 - 35x

18550 - 10x

Given the table, what is the linear equation?



x y

1 7

2 10

3 13

4 16

Answers

Answer:

yes

Step-by-step explanation:

X + 3y

I think this is true. I haven’t done this in a few years.

Original price: $48; Markup: 12.5%

Answers

Answer:

6.86

Step-by-step explanation:

Analyzing Last night, the temperature fell from 0"F to 1 -Fin 13 Alan solved the problem, but when he checked the answer by estimating, it didn't seem right. What error did he make? hours. Alan calculated the average temperature change per hour 2 4 5 O Alan converted the mixed number to the wrong improper fraction O He did not use the correct reciprocal fraction. O He did not change the division problem to multiplication He added the numerators and denominators instead of multiplying. 5 66 22 5 5 66 5 1,452 25 Done Intro​

Answers

Answer:

its B

Step-by-step explanation:

help me plzzz!!!
I’ll give brainliest

Answers

Answer:

-11.5

Step-by-step explanation:

Solve for X.
51°
3x

Vertical angles

Answers

Answer:

17

Step-by-step explanation:

They are vertical angles so they are the same angle.

51 = 3x

Divide each side by 3

17 = x

Mrs.Jones sells houses. She gets a 7% commission on all sales. How much commission would she earn on a house that sells for $200000?

Answers

Answer:

The commission Mrs.Jones gets is 14000 dollars

Answer:

$14,000

Step-by-step explanation:

First, convert the percentage to a decimal and get 0.07. Multiply this by 200,000 and get 14,000. So 7% of 200,000 is 14,000.

Rick is buying a $115 tennis racquet from a sporting goods store. If the racquet is on sale for 35% off, how much will he pay in total?

Answers

74.75$


115/.35 =40.15 115-40.15= 74.75
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