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?
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
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
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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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?
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
please help me it would mean a lot thanks!
Answer:
the answer would be -20
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
First you substitute b for -6.
-6 + 7 = -1
Then you substitute a for -4
2× -4 = -8
Now you have -1/-8, but because they are both negative the solution becomes positive
help me plzzz!!!
I’ll give brainliest
Answer:
-11.5
Step-by-step explanation:
An architect is making a scale model of a house. On the model 2.5 inches represents
5 yards. Which graph represents the same relationship?
Answer:
The answer is A.
Step-by-step explanation:
1. Calculate the value of x in the following diagram. 53 - Y IN Q 5x 18
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
Original price: $48; Markup: 12.5%
Answer:
6.86
Step-by-step explanation:
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
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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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
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
Answer:
its B
Step-by-step explanation:
can yall do the work of the answer 60 to this
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°
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?
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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Solve for X.
51°
3x
Vertical angles
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
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Help!- How dilations are used in everyday life ? How about similarity transformations ?? How are they meaningful
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
The table shows the cost for different numbers of t-shirts.
T-shirts
Cost
3
$38.85
5
$64.75
6
$77.70
Determine if the relationship is proportional and write the constant of proportionality. If it is not
proportional, write “NP”
Answer:
proportional bc all of them are 1 shirt = 12.95
Determine whether the following graph represents a function
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
help please , I’ll give brainliest.
Answer:5 N to the left
Step-by-step explanation:
Answer:
The Net Force is the difference of force. In this case
10N to the left - 5 N to the right = 5N to the left
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
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.
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
Answer:
d
Step-by-step explanation:
i think it D im not tooo sure
Are the given lines parallel?
y = 1, and y = 5
If z ≤ 5 then which of the following cannot be a value for z?
A. 3
B. 5
C. 6
D. 4
Answer:
c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Mari is 10 miles away from her home. She is returning home,
walking at a constant speed of 2 miles per hour.
HELPP ASAPPPPP
Evaluate ym if y=5 and m=4
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.
What is the value of the expression 10 25 32 64
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
Given the table, what is the linear equation?
x y
1 7
2 10
3 13
4 16
Answer:
yes
Step-by-step explanation:
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?
Answer:
[tex]\frac{4}{10} =\frac{2}{5}[/tex]
Step-by-step explanation:
Solve for x???????????
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
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?
